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Vaughan, 2004 # # This file is free software; the Free Software Foundation gives # unlimited permission to copy and/or distribute it, with or without # modifications, as long as this notice is preserved. # serial 8 ltoptions.m4 # This is to help aclocal find these macros, as it can't see m4_define. AC_DEFUN([LTOPTIONS_VERSION], [m4_if([1])]) # _LT_MANGLE_OPTION(MACRO-NAME, OPTION-NAME) # ------------------------------------------ m4_define([_LT_MANGLE_OPTION], [[_LT_OPTION_]m4_bpatsubst($1__$2, [[^a-zA-Z0-9_]], [_])]) # _LT_SET_OPTION(MACRO-NAME, OPTION-NAME) # --------------------------------------- # Set option OPTION-NAME for macro MACRO-NAME, and if there is a # matching handler defined, dispatch to it. 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Vaughan, 2004 # # This file is free software; the Free Software Foundation gives # unlimited permission to copy and/or distribute it, with or without # modifications, as long as this notice is preserved. # serial 6 ltsugar.m4 # This is to help aclocal find these macros, as it can't see m4_define. AC_DEFUN([LTSUGAR_VERSION], [m4_if([0.1])]) # lt_join(SEP, ARG1, [ARG2...]) # ----------------------------- # Produce ARG1SEPARG2...SEPARGn, omitting [] arguments and their # associated separator. # Needed until we can rely on m4_join from Autoconf 2.62, since all earlier # versions in m4sugar had bugs. m4_define([lt_join], [m4_if([$#], [1], [], [$#], [2], [[$2]], [m4_if([$2], [], [], [[$2]_])$0([$1], m4_shift(m4_shift($@)))])]) m4_define([_lt_join], [m4_if([$#$2], [2], [], [m4_if([$2], [], [], [[$1$2]])$0([$1], m4_shift(m4_shift($@)))])]) # lt_car(LIST) # lt_cdr(LIST) # ------------ # Manipulate m4 lists. # These macros are necessary as long as will still need to support # Autoconf-2.59, which quotes differently. m4_define([lt_car], [[$1]]) m4_define([lt_cdr], [m4_if([$#], 0, [m4_fatal([$0: cannot be called without arguments])], [$#], 1, [], [m4_dquote(m4_shift($@))])]) m4_define([lt_unquote], $1) # lt_append(MACRO-NAME, STRING, [SEPARATOR]) # ------------------------------------------ # Redefine MACRO-NAME to hold its former content plus 'SEPARATOR''STRING'. # Note that neither SEPARATOR nor STRING are expanded; they are appended # to MACRO-NAME as is (leaving the expansion for when MACRO-NAME is invoked). # No SEPARATOR is output if MACRO-NAME was previously undefined (different # than defined and empty). # # This macro is needed until we can rely on Autoconf 2.62, since earlier # versions of m4sugar mistakenly expanded SEPARATOR but not STRING. m4_define([lt_append], [m4_define([$1], m4_ifdef([$1], [m4_defn([$1])[$3]])[$2])]) # lt_combine(SEP, PREFIX-LIST, INFIX, SUFFIX1, [SUFFIX2...]) # ---------------------------------------------------------- # Produce a SEP delimited list of all paired combinations of elements of # PREFIX-LIST with SUFFIX1 through SUFFIXn. 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There is NO # warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # GNU Libtool is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of of the License, or # (at your option) any later version. # # As a special exception to the GNU General Public License, if you # distribute this file as part of a program or library that is built # using GNU Libtool, you may include this file under the same # distribution terms that you use for the rest of that program. # # GNU Libtool is distributed in the hope that it will be useful, but # WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. 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Use them if available. if ${LD-ld} -V | grep _sol2 >/dev/null 2>&1; then LD=${LD-ld}_sol2 fi ;; *) if ${LD-ld} -64 -r -o conftest2.o conftest.o >/dev/null 2>&1; then LD="${LD-ld} -64" fi ;; esac ;; esac fi rm -rf conftest* ;; esac need_locks=$enable_libtool_lock ])# _LT_ENABLE_LOCK # _LT_PROG_AR # ----------- m4_defun([_LT_PROG_AR], [AC_CHECK_TOOLS(AR, [ar], false) : ${AR=ar} _LT_DECL([], [AR], [1], [The archiver]) # Use ARFLAGS variable as AR's operation code to sync the variable naming with # Automake. If both AR_FLAGS and ARFLAGS are specified, AR_FLAGS should have # higher priority because thats what people were doing historically (setting # ARFLAGS for automake and AR_FLAGS for libtool). FIXME: Make the AR_FLAGS # variable obsoleted/removed. test ${AR_FLAGS+y} || AR_FLAGS=${ARFLAGS-cr} lt_ar_flags=$AR_FLAGS _LT_DECL([], [lt_ar_flags], [0], [Flags to create an archive (by configure)]) # Make AR_FLAGS overridable by 'make ARFLAGS='. Don't try to run-time override # by AR_FLAGS because that was never working and AR_FLAGS is about to die. _LT_DECL([], [AR_FLAGS], [\@S|@{ARFLAGS-"\@S|@lt_ar_flags"}], [Flags to create an archive]) AC_CACHE_CHECK([for archiver @FILE support], [lt_cv_ar_at_file], [lt_cv_ar_at_file=no AC_COMPILE_IFELSE([AC_LANG_PROGRAM], [echo conftest.$ac_objext > conftest.lst lt_ar_try='$AR $AR_FLAGS libconftest.a @conftest.lst >&AS_MESSAGE_LOG_FD' AC_TRY_EVAL([lt_ar_try]) if test 0 -eq "$ac_status"; then # Ensure the archiver fails upon bogus file names. rm -f conftest.$ac_objext libconftest.a AC_TRY_EVAL([lt_ar_try]) if test 0 -ne "$ac_status"; then lt_cv_ar_at_file=@ fi fi rm -f conftest.* libconftest.a ]) ]) if test no = "$lt_cv_ar_at_file"; then archiver_list_spec= else archiver_list_spec=$lt_cv_ar_at_file fi _LT_DECL([], [archiver_list_spec], [1], [How to feed a file listing to the archiver]) ])# _LT_PROG_AR # _LT_CMD_OLD_ARCHIVE # ------------------- m4_defun([_LT_CMD_OLD_ARCHIVE], [_LT_PROG_AR AC_CHECK_TOOL(STRIP, strip, :) test -z "$STRIP" && STRIP=: _LT_DECL([], [STRIP], [1], [A symbol stripping program]) AC_CHECK_TOOL(RANLIB, ranlib, :) test -z "$RANLIB" && RANLIB=: _LT_DECL([], [RANLIB], [1], [Commands used to install an old-style archive]) # Determine commands to create old-style static archives. old_archive_cmds='$AR $AR_FLAGS $oldlib$oldobjs' old_postinstall_cmds='chmod 644 $oldlib' old_postuninstall_cmds= if test -n "$RANLIB"; then case $host_os in bitrig* | openbsd*) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$tool_oldlib" ;; *) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$tool_oldlib" ;; esac old_archive_cmds="$old_archive_cmds~\$RANLIB \$tool_oldlib" fi case $host_os in darwin*) lock_old_archive_extraction=yes ;; *) lock_old_archive_extraction=no ;; esac _LT_DECL([], [old_postinstall_cmds], [2]) _LT_DECL([], [old_postuninstall_cmds], [2]) _LT_TAGDECL([], [old_archive_cmds], [2], [Commands used to build an old-style archive]) _LT_DECL([], [lock_old_archive_extraction], [0], [Whether to use a lock for old archive extraction]) ])# _LT_CMD_OLD_ARCHIVE # _LT_COMPILER_OPTION(MESSAGE, VARIABLE-NAME, FLAGS, # [OUTPUT-FILE], [ACTION-SUCCESS], [ACTION-FAILURE]) # ---------------------------------------------------------------- # Check whether the given compiler option works AC_DEFUN([_LT_COMPILER_OPTION], [m4_require([_LT_FILEUTILS_DEFAULTS])dnl m4_require([_LT_DECL_SED])dnl AC_CACHE_CHECK([$1], [$2], [$2=no m4_if([$4], , [ac_outfile=conftest.$ac_objext], [ac_outfile=$4]) echo "$lt_simple_compile_test_code" > conftest.$ac_ext lt_compiler_flag="$3" ## exclude from sc_useless_quotes_in_assignment # Insert the option either (1) after the last *FLAGS variable, or # (2) before a word containing "conftest.", or (3) at the end. # Note that $ac_compile itself does not contain backslashes and begins # with a dollar sign (not a hyphen), so the echo should work correctly. # The option is referenced via a variable to avoid confusing sed. lt_compile=`echo "$ac_compile" | $SED \ -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ -e 's: [[^ ]]*conftest\.: $lt_compiler_flag&:; t' \ -e 's:$: $lt_compiler_flag:'` (eval echo "\"\$as_me:$LINENO: $lt_compile\"" >&AS_MESSAGE_LOG_FD) (eval "$lt_compile" 2>conftest.err) ac_status=$? cat conftest.err >&AS_MESSAGE_LOG_FD echo "$as_me:$LINENO: \$? = $ac_status" >&AS_MESSAGE_LOG_FD if (exit $ac_status) && test -s "$ac_outfile"; then # The compiler can only warn and ignore the option if not recognized # So say no if there are warnings other than the usual output. $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' >conftest.exp $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then $2=yes fi fi $RM conftest* ]) if test yes = "[$]$2"; then m4_if([$5], , :, [$5]) else m4_if([$6], , :, [$6]) fi ])# _LT_COMPILER_OPTION # Old name: AU_ALIAS([AC_LIBTOOL_COMPILER_OPTION], [_LT_COMPILER_OPTION]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_COMPILER_OPTION], []) # _LT_LINKER_OPTION(MESSAGE, VARIABLE-NAME, FLAGS, # [ACTION-SUCCESS], [ACTION-FAILURE]) # ---------------------------------------------------- # Check whether the given linker option works AC_DEFUN([_LT_LINKER_OPTION], [m4_require([_LT_FILEUTILS_DEFAULTS])dnl m4_require([_LT_DECL_SED])dnl AC_CACHE_CHECK([$1], [$2], [$2=no save_LDFLAGS=$LDFLAGS LDFLAGS="$LDFLAGS $3" echo "$lt_simple_link_test_code" > conftest.$ac_ext if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then # The linker can only warn and ignore the option if not recognized # So say no if there are warnings if test -s conftest.err; then # Append any errors to the config.log. cat conftest.err 1>&AS_MESSAGE_LOG_FD $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 if diff conftest.exp conftest.er2 >/dev/null; then $2=yes fi else $2=yes fi fi $RM -r conftest* LDFLAGS=$save_LDFLAGS ]) if test yes = "[$]$2"; then m4_if([$4], , :, [$4]) else m4_if([$5], , :, [$5]) fi ])# _LT_LINKER_OPTION # Old name: AU_ALIAS([AC_LIBTOOL_LINKER_OPTION], [_LT_LINKER_OPTION]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_LINKER_OPTION], []) # LT_CMD_MAX_LEN #--------------- AC_DEFUN([LT_CMD_MAX_LEN], [AC_REQUIRE([AC_CANONICAL_HOST])dnl # find the maximum length of command line arguments AC_MSG_CHECKING([the maximum length of command line arguments]) AC_CACHE_VAL([lt_cv_sys_max_cmd_len], [dnl i=0 teststring=ABCD case $build_os in msdosdjgpp*) # On DJGPP, this test can blow up pretty badly due to problems in libc # (any single argument exceeding 2000 bytes causes a buffer overrun # during glob expansion). Even if it were fixed, the result of this # check would be larger than it should be. lt_cv_sys_max_cmd_len=12288; # 12K is about right ;; gnu*) # Under GNU Hurd, this test is not required because there is # no limit to the length of command line arguments. # Libtool will interpret -1 as no limit whatsoever lt_cv_sys_max_cmd_len=-1; ;; cygwin* | mingw* | cegcc*) # On Win9x/ME, this test blows up -- it succeeds, but takes # about 5 minutes as the teststring grows exponentially. # Worse, since 9x/ME are not pre-emptively multitasking, # you end up with a "frozen" computer, even though with patience # the test eventually succeeds (with a max line length of 256k). # Instead, let's just punt: use the minimum linelength reported by # all of the supported platforms: 8192 (on NT/2K/XP). lt_cv_sys_max_cmd_len=8192; ;; mint*) # On MiNT this can take a long time and run out of memory. lt_cv_sys_max_cmd_len=8192; ;; amigaos*) # On AmigaOS with pdksh, this test takes hours, literally. # So we just punt and use a minimum line length of 8192. lt_cv_sys_max_cmd_len=8192; ;; bitrig* | darwin* | dragonfly* | freebsd* | midnightbsd* | netbsd* | openbsd*) # This has been around since 386BSD, at least. Likely further. if test -x /sbin/sysctl; then lt_cv_sys_max_cmd_len=`/sbin/sysctl -n kern.argmax` elif test -x /usr/sbin/sysctl; then lt_cv_sys_max_cmd_len=`/usr/sbin/sysctl -n kern.argmax` else lt_cv_sys_max_cmd_len=65536 # usable default for all BSDs fi # And add a safety zone lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; os2*) # The test takes a long time on OS/2. lt_cv_sys_max_cmd_len=8192 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$kargmax"; then lt_cv_sys_max_cmd_len=`echo $kargmax | $SED 's/.*[[ ]]//'` else lt_cv_sys_max_cmd_len=32768 fi ;; *) lt_cv_sys_max_cmd_len=`(getconf ARG_MAX) 2> /dev/null` if test -n "$lt_cv_sys_max_cmd_len" && \ test undefined != "$lt_cv_sys_max_cmd_len"; then lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` else # Make teststring a little bigger before we do anything with it. # a 1K string should be a reasonable start. for i in 1 2 3 4 5 6 7 8; do teststring=$teststring$teststring done SHELL=${SHELL-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test X`env echo "$teststring$teststring" 2>/dev/null` \ = "X$teststring$teststring"; } >/dev/null 2>&1 && test 17 != "$i" # 1/2 MB should be enough do i=`expr $i + 1` teststring=$teststring$teststring done # Only check the string length outside the loop. lt_cv_sys_max_cmd_len=`expr "X$teststring" : ".*" 2>&1` teststring= # Add a significant safety factor because C++ compilers can tack on # massive amounts of additional arguments before passing them to the # linker. It appears as though 1/2 is a usable value. lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 2` fi ;; esac ]) if test -n "$lt_cv_sys_max_cmd_len"; then AC_MSG_RESULT($lt_cv_sys_max_cmd_len) else AC_MSG_RESULT(none) fi max_cmd_len=$lt_cv_sys_max_cmd_len _LT_DECL([], [max_cmd_len], [0], [What is the maximum length of a command?]) ])# LT_CMD_MAX_LEN # Old name: AU_ALIAS([AC_LIBTOOL_SYS_MAX_CMD_LEN], [LT_CMD_MAX_LEN]) dnl aclocal-1.4 backwards compatibility: dnl AC_DEFUN([AC_LIBTOOL_SYS_MAX_CMD_LEN], []) # _LT_HEADER_DLFCN # ---------------- m4_defun([_LT_HEADER_DLFCN], [AC_CHECK_HEADERS([dlfcn.h], [], [], [AC_INCLUDES_DEFAULT])dnl ])# _LT_HEADER_DLFCN # _LT_TRY_DLOPEN_SELF (ACTION-IF-TRUE, ACTION-IF-TRUE-W-USCORE, # ACTION-IF-FALSE, ACTION-IF-CROSS-COMPILING) # ---------------------------------------------------------------- m4_defun([_LT_TRY_DLOPEN_SELF], [m4_require([_LT_HEADER_DLFCN])dnl if test yes = "$cross_compiling"; then : [$4] else lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2 lt_status=$lt_dlunknown cat > conftest.$ac_ext <<_LT_EOF [#line $LINENO "configure" #include "confdefs.h" #if HAVE_DLFCN_H #include #endif #include #ifdef RTLD_GLOBAL # define LT_DLGLOBAL RTLD_GLOBAL #else # ifdef DL_GLOBAL # define LT_DLGLOBAL DL_GLOBAL # else # define LT_DLGLOBAL 0 # endif #endif /* We may have to define LT_DLLAZY_OR_NOW in the command line if we find out it does not work in some platform. */ #ifndef LT_DLLAZY_OR_NOW # ifdef RTLD_LAZY # define LT_DLLAZY_OR_NOW RTLD_LAZY # else # ifdef DL_LAZY # define LT_DLLAZY_OR_NOW DL_LAZY # else # ifdef RTLD_NOW # define LT_DLLAZY_OR_NOW RTLD_NOW # else # ifdef DL_NOW # define LT_DLLAZY_OR_NOW DL_NOW # else # define LT_DLLAZY_OR_NOW 0 # endif # endif # endif # endif #endif /* When -fvisibility=hidden is used, assume the code has been annotated correspondingly for the symbols needed. */ #if defined __GNUC__ && (((__GNUC__ == 3) && (__GNUC_MINOR__ >= 3)) || (__GNUC__ > 3)) int fnord () __attribute__((visibility("default"))); #endif int fnord () { return 42; } int main () { void *self = dlopen (0, LT_DLGLOBAL|LT_DLLAZY_OR_NOW); int status = $lt_dlunknown; if (self) { if (dlsym (self,"fnord")) status = $lt_dlno_uscore; else { if (dlsym( self,"_fnord")) status = $lt_dlneed_uscore; else puts (dlerror ()); } /* dlclose (self); */ } else puts (dlerror ()); return status; }] _LT_EOF if AC_TRY_EVAL(ac_link) && test -s "conftest$ac_exeext" 2>/dev/null; then (./conftest; exit; ) >&AS_MESSAGE_LOG_FD 2>/dev/null lt_status=$? case x$lt_status in x$lt_dlno_uscore) $1 ;; x$lt_dlneed_uscore) $2 ;; x$lt_dlunknown|x*) $3 ;; esac else : # compilation failed $3 fi fi rm -fr conftest* ])# _LT_TRY_DLOPEN_SELF # LT_SYS_DLOPEN_SELF # ------------------ AC_DEFUN([LT_SYS_DLOPEN_SELF], [m4_require([_LT_HEADER_DLFCN])dnl if test yes != "$enable_dlopen"; then enable_dlopen=unknown enable_dlopen_self=unknown enable_dlopen_self_static=unknown else lt_cv_dlopen=no lt_cv_dlopen_libs= case $host_os in beos*) lt_cv_dlopen=load_add_on lt_cv_dlopen_libs= lt_cv_dlopen_self=yes ;; mingw* | pw32* | cegcc*) lt_cv_dlopen=LoadLibrary lt_cv_dlopen_libs= ;; cygwin*) lt_cv_dlopen=dlopen lt_cv_dlopen_libs= ;; darwin*) # if libdl is installed we need to link against it AC_CHECK_LIB([dl], [dlopen], [lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-ldl],[ lt_cv_dlopen=dyld lt_cv_dlopen_libs= lt_cv_dlopen_self=yes ]) ;; tpf*) # Don't try to run any link tests for TPF. We know it's impossible # because TPF is a cross-compiler, and we know how we open DSOs. lt_cv_dlopen=dlopen lt_cv_dlopen_libs= lt_cv_dlopen_self=no ;; *) AC_CHECK_FUNC([shl_load], [lt_cv_dlopen=shl_load], [AC_CHECK_LIB([dld], [shl_load], [lt_cv_dlopen=shl_load lt_cv_dlopen_libs=-ldld], [AC_CHECK_FUNC([dlopen], [lt_cv_dlopen=dlopen], [AC_CHECK_LIB([dl], [dlopen], [lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-ldl], [AC_CHECK_LIB([svld], [dlopen], [lt_cv_dlopen=dlopen lt_cv_dlopen_libs=-lsvld], [AC_CHECK_LIB([dld], [dld_link], [lt_cv_dlopen=dld_link lt_cv_dlopen_libs=-ldld]) ]) ]) ]) ]) ]) ;; esac if test no = "$lt_cv_dlopen"; then enable_dlopen=no else enable_dlopen=yes fi case $lt_cv_dlopen in dlopen) save_CPPFLAGS=$CPPFLAGS test yes = "$ac_cv_header_dlfcn_h" && CPPFLAGS="$CPPFLAGS -DHAVE_DLFCN_H" save_LDFLAGS=$LDFLAGS wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $export_dynamic_flag_spec\" save_LIBS=$LIBS LIBS="$lt_cv_dlopen_libs $LIBS" AC_CACHE_CHECK([whether a program can dlopen itself], lt_cv_dlopen_self, [dnl _LT_TRY_DLOPEN_SELF( lt_cv_dlopen_self=yes, lt_cv_dlopen_self=yes, lt_cv_dlopen_self=no, lt_cv_dlopen_self=cross) ]) if test yes = "$lt_cv_dlopen_self"; 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esac ;; haiku*) version_type=linux # correct to gnu/linux during the next big refactor need_lib_prefix=no need_version=no dynamic_linker="$host_os runtime_loader" library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' shlibpath_var=LIBRARY_PATH shlibpath_overrides_runpath=no sys_lib_dlsearch_path_spec='/boot/home/config/lib /boot/common/lib /boot/system/lib' hardcode_into_libs=yes ;; hpux9* | hpux10* | hpux11*) # Give a soname corresponding to the major version so that dld.sl refuses to # link against other versions. version_type=sunos need_lib_prefix=no need_version=no case $host_cpu in ia64*) shrext_cmds='.so' hardcode_into_libs=yes dynamic_linker="$host_os dld.so" shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes # Unless +noenvvar is specified. library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' if test 32 = "$HPUX_IA64_MODE"; then sys_lib_search_path_spec="/usr/lib/hpux32 /usr/local/lib/hpux32 /usr/local/lib" sys_lib_dlsearch_path_spec=/usr/lib/hpux32 else sys_lib_search_path_spec="/usr/lib/hpux64 /usr/local/lib/hpux64" sys_lib_dlsearch_path_spec=/usr/lib/hpux64 fi ;; hppa*64*) shrext_cmds='.sl' hardcode_into_libs=yes dynamic_linker="$host_os dld.sl" shlibpath_var=LD_LIBRARY_PATH # How should we handle SHLIB_PATH shlibpath_overrides_runpath=yes # Unless +noenvvar is specified. library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' sys_lib_search_path_spec="/usr/lib/pa20_64 /usr/ccs/lib/pa20_64" sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec ;; *) shrext_cmds='.sl' dynamic_linker="$host_os dld.sl" shlibpath_var=SHLIB_PATH shlibpath_overrides_runpath=no # +s is required to enable SHLIB_PATH library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' ;; esac # HP-UX runs *really* slowly unless shared libraries are mode 555, ... postinstall_cmds='chmod 555 $lib' # or fails outright, so override atomically: install_override_mode=555 ;; interix[[3-9]]*) version_type=linux # correct to gnu/linux during the next big refactor need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' dynamic_linker='Interix 3.x ld.so.1 (PE, like ELF)' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=no hardcode_into_libs=yes ;; irix5* | irix6* | nonstopux*) case $host_os in nonstopux*) version_type=nonstopux ;; *) if test yes = "$lt_cv_prog_gnu_ld"; then version_type=linux # correct to gnu/linux during the next big refactor else version_type=irix fi ;; esac need_lib_prefix=no need_version=no soname_spec='$libname$release$shared_ext$major' library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$release$shared_ext $libname$shared_ext' case $host_os in irix5* | nonstopux*) libsuff= shlibsuff= ;; *) case $LD in # libtool.m4 will add one of these switches to LD *-32|*"-32 "|*-melf32bsmip|*"-melf32bsmip ") libsuff= shlibsuff= libmagic=32-bit;; *-n32|*"-n32 "|*-melf32bmipn32|*"-melf32bmipn32 ") libsuff=32 shlibsuff=N32 libmagic=N32;; *-64|*"-64 "|*-melf64bmip|*"-melf64bmip ") libsuff=64 shlibsuff=64 libmagic=64-bit;; *) libsuff= shlibsuff= libmagic=never-match;; esac ;; esac shlibpath_var=LD_LIBRARY${shlibsuff}_PATH shlibpath_overrides_runpath=no sys_lib_search_path_spec="/usr/lib$libsuff /lib$libsuff /usr/local/lib$libsuff" sys_lib_dlsearch_path_spec="/usr/lib$libsuff /lib$libsuff" hardcode_into_libs=yes ;; # No shared lib support for Linux oldld, aout, or coff. linux*oldld* | linux*aout* | linux*coff*) dynamic_linker=no ;; linux*android*) version_type=none # Android doesn't support versioned libraries. need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext' soname_spec='$libname$release$shared_ext' finish_cmds= shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=yes # This implies no fast_install, which is unacceptable. # Some rework will be needed to allow for fast_install # before this can be enabled. hardcode_into_libs=yes dynamic_linker='Android linker' # Don't embed -rpath directories since the linker doesn't support them. _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' ;; # This must be glibc/ELF. linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) version_type=linux # correct to gnu/linux during the next big refactor need_lib_prefix=no need_version=no library_names_spec='$libname$release$shared_ext$versuffix $libname$release$shared_ext$major $libname$shared_ext' soname_spec='$libname$release$shared_ext$major' finish_cmds='PATH="\$PATH:/sbin" ldconfig -n $libdir' shlibpath_var=LD_LIBRARY_PATH shlibpath_overrides_runpath=no # Some binutils ld are patched to set DT_RUNPATH AC_CACHE_VAL([lt_cv_shlibpath_overrides_runpath], [lt_cv_shlibpath_overrides_runpath=no save_LDFLAGS=$LDFLAGS save_libdir=$libdir eval "libdir=/foo; wl=\"$_LT_TAGVAR(lt_prog_compiler_wl, $1)\"; \ LDFLAGS=\"\$LDFLAGS $_LT_TAGVAR(hardcode_libdir_flag_spec, $1)\"" AC_LINK_IFELSE([AC_LANG_PROGRAM([],[])], [AS_IF([ ($OBJDUMP -p conftest$ac_exeext) 2>/dev/null | grep "RUNPATH.*$libdir" >/dev/null], [lt_cv_shlibpath_overrides_runpath=yes])]) LDFLAGS=$save_LDFLAGS libdir=$save_libdir ]) shlibpath_overrides_runpath=$lt_cv_shlibpath_overrides_runpath # This implies no fast_install, which is unacceptable. # Some rework will be needed to allow for fast_install # before this can be enabled. hardcode_into_libs=yes # Ideally, we could use ldconfig to report *all* directores which are # searched for libraries, however this is still not possible. 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then case $cc_basename in nvcc*) _LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)=' -Xcompiler -fno-builtin' ;; *) _LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)=' -fno-builtin' ;; esac _LT_COMPILER_OPTION([if $compiler supports -fno-rtti -fno-exceptions], lt_cv_prog_compiler_rtti_exceptions, [-fno-rtti -fno-exceptions], [], [_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)="$_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1) -fno-rtti -fno-exceptions"]) fi _LT_TAGDECL([no_builtin_flag], [lt_prog_compiler_no_builtin_flag], [1], [Compiler flag to turn off builtin functions]) ])# _LT_COMPILER_NO_RTTI # _LT_CMD_GLOBAL_SYMBOLS # ---------------------- m4_defun([_LT_CMD_GLOBAL_SYMBOLS], [AC_REQUIRE([AC_CANONICAL_HOST])dnl AC_REQUIRE([AC_PROG_CC])dnl AC_REQUIRE([AC_PROG_AWK])dnl AC_REQUIRE([LT_PATH_NM])dnl AC_REQUIRE([LT_PATH_LD])dnl m4_require([_LT_DECL_SED])dnl m4_require([_LT_DECL_EGREP])dnl m4_require([_LT_TAG_COMPILER])dnl # Check for command to grab the raw symbol name followed by C symbol from nm. AC_MSG_CHECKING([command to parse $NM output from $compiler object]) AC_CACHE_VAL([lt_cv_sys_global_symbol_pipe], [ # These are sane defaults that work on at least a few old systems. # [They come from Ultrix. What could be older than Ultrix?!! ;)] # Character class describing NM global symbol codes. symcode='[[BCDEGRST]]' # Regexp to match symbols that can be accessed directly from C. sympat='\([[_A-Za-z]][[_A-Za-z0-9]]*\)' # Define system-specific variables. case $host_os in aix*) symcode='[[BCDT]]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[[ABCDGISTW]]' ;; hpux*) if test ia64 = "$host_cpu"; then symcode='[[ABCDEGRST]]' fi ;; irix* | nonstopux*) symcode='[[BCDEGRST]]' ;; osf*) symcode='[[BCDEGQRST]]' ;; solaris*) symcode='[[BDRT]]' ;; sco3.2v5*) symcode='[[DT]]' ;; sysv4.2uw2*) symcode='[[DT]]' ;; sysv5* | sco5v6* | unixware* | OpenUNIX*) symcode='[[ABDT]]' ;; sysv4) symcode='[[DFNSTU]]' ;; esac # If we're using GNU nm, then use its standard symbol codes. case `$NM -V 2>&1` in *GNU* | *'with BFD'*) symcode='[[ABCDGIRSTW]]' ;; esac if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Gets list of data symbols to import. lt_cv_sys_global_symbol_to_import="$SED -n -e 's/^I .* \(.*\)$/\1/p'" # Adjust the below global symbol transforms to fixup imported variables. lt_cdecl_hook=" -e 's/^I .* \(.*\)$/extern __declspec(dllimport) char \1;/p'" lt_c_name_hook=" -e 's/^I .* \(.*\)$/ {\"\1\", (void *) 0},/p'" lt_c_name_lib_hook="\ -e 's/^I .* \(lib.*\)$/ {\"\1\", (void *) 0},/p'\ -e 's/^I .* \(.*\)$/ {\"lib\1\", (void *) 0},/p'" else # Disable hooks by default. lt_cv_sys_global_symbol_to_import= lt_cdecl_hook= lt_c_name_hook= lt_c_name_lib_hook= fi # Transform an extracted symbol line into a proper C declaration. # Some systems (esp. on ia64) link data and code symbols differently, # so use this general approach. lt_cv_sys_global_symbol_to_cdecl="$SED -n"\ $lt_cdecl_hook\ " -e 's/^T .* \(.*\)$/extern int \1();/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/extern char \1;/p'" # Transform an extracted symbol line into symbol name and symbol address lt_cv_sys_global_symbol_to_c_name_address="$SED -n"\ $lt_c_name_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/p'" # Transform an extracted symbol line into symbol name with lib prefix and # symbol address. lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="$SED -n"\ $lt_c_name_lib_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(lib.*\)$/ {\"\1\", (void *) \&\1},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"lib\1\", (void *) \&\1},/p'" # Handle CRLF in mingw tool chain opt_cr= case $build_os in mingw*) opt_cr=`$ECHO 'x\{0,1\}' | tr x '\015'` # option cr in regexp ;; esac # Try without a prefix underscore, then with it. for ac_symprfx in "" "_"; do # Transform symcode, sympat, and symprfx into a raw symbol and a C symbol. symxfrm="\\1 $ac_symprfx\\2 \\2" # Write the raw and C identifiers. if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Fake it for dumpbin and say T for any non-static function, # D for any global variable and I for any imported variable. # Also find C++ and __fastcall symbols from MSVC++ or ICC, # which start with @ or ?. lt_cv_sys_global_symbol_pipe="$AWK ['"\ " {last_section=section; section=\$ 3};"\ " /^COFF SYMBOL TABLE/{for(i in hide) delete hide[i]};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " /^ *Symbol name *: /{split(\$ 0,sn,\":\"); si=substr(sn[2],2)};"\ " /^ *Type *: code/{print \"T\",si,substr(si,length(prfx))};"\ " /^ *Type *: data/{print \"I\",si,substr(si,length(prfx))};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=\"D\"}; \$ 0~/\(\).*\|/{f=\"T\"};"\ " {split(\$ 0,a,/\||\r/); split(a[2],s)};"\ " s[1]~/^[@?]/{print f,s[1],s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print f,t[1],substr(t[1],length(prfx))}"\ " ' prfx=^$ac_symprfx]" else lt_cv_sys_global_symbol_pipe="$SED -n -e 's/^.*[[ ]]\($symcode$symcode*\)[[ ]][[ ]]*$ac_symprfx$sympat$opt_cr$/$symxfrm/p'" fi lt_cv_sys_global_symbol_pipe="$lt_cv_sys_global_symbol_pipe | $SED '/ __gnu_lto/d'" # Check to see that the pipe works correctly. pipe_works=no rm -f conftest* cat > conftest.$ac_ext <<_LT_EOF #ifdef __cplusplus extern "C" { #endif char nm_test_var; void nm_test_func(void); void nm_test_func(void){} #ifdef __cplusplus } #endif int main(){nm_test_var='a';nm_test_func();return(0);} _LT_EOF if AC_TRY_EVAL(ac_compile); then # Now try to grab the symbols. nlist=conftest.nm if AC_TRY_EVAL(NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist) && test -s "$nlist"; then # Try sorting and uniquifying the output. if sort "$nlist" | uniq > "$nlist"T; then mv -f "$nlist"T "$nlist" else rm -f "$nlist"T fi # Make sure that we snagged all the symbols we need. if $GREP ' nm_test_var$' "$nlist" >/dev/null; then if $GREP ' nm_test_func$' "$nlist" >/dev/null; then cat <<_LT_EOF > conftest.$ac_ext /* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ #if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE /* DATA imports from DLLs on WIN32 can't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */ # define LT@&t@_DLSYM_CONST #elif defined __osf__ /* This system does not cope well with relocations in const data. */ # define LT@&t@_DLSYM_CONST #else # define LT@&t@_DLSYM_CONST const #endif #ifdef __cplusplus extern "C" { #endif _LT_EOF # Now generate the symbol file. eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' cat <<_LT_EOF >> conftest.$ac_ext /* The mapping between symbol names and symbols. */ LT@&t@_DLSYM_CONST struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[[]] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext cat <<\_LT_EOF >> conftest.$ac_ext {0, (void *) 0} }; /* This works around a problem in FreeBSD linker */ #ifdef FREEBSD_WORKAROUND static const void *lt_preloaded_setup() { return lt__PROGRAM__LTX_preloaded_symbols; } #endif #ifdef __cplusplus } #endif _LT_EOF # Now try linking the two files. mv conftest.$ac_objext conftstm.$ac_objext lt_globsym_save_LIBS=$LIBS lt_globsym_save_CFLAGS=$CFLAGS LIBS=conftstm.$ac_objext CFLAGS="$CFLAGS$_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)" if AC_TRY_EVAL(ac_link) && test -s conftest$ac_exeext; then pipe_works=yes fi LIBS=$lt_globsym_save_LIBS CFLAGS=$lt_globsym_save_CFLAGS else echo "cannot find nm_test_func in $nlist" >&AS_MESSAGE_LOG_FD fi else echo "cannot find nm_test_var in $nlist" >&AS_MESSAGE_LOG_FD fi else echo "cannot run $lt_cv_sys_global_symbol_pipe" >&AS_MESSAGE_LOG_FD fi else echo "$progname: failed program was:" >&AS_MESSAGE_LOG_FD cat conftest.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test yes = "$pipe_works"; then break else lt_cv_sys_global_symbol_pipe= fi done ]) if test -z "$lt_cv_sys_global_symbol_pipe"; then lt_cv_sys_global_symbol_to_cdecl= fi if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then AC_MSG_RESULT(failed) else AC_MSG_RESULT(ok) fi # Response file support. if test "$lt_cv_nm_interface" = "MS dumpbin"; then nm_file_list_spec='@' elif $NM --help 2>/dev/null | grep '[[@]]FILE' >/dev/null; then nm_file_list_spec='@' fi _LT_DECL([global_symbol_pipe], [lt_cv_sys_global_symbol_pipe], [1], [Take the output of nm and produce a listing of raw symbols and C names]) _LT_DECL([global_symbol_to_cdecl], [lt_cv_sys_global_symbol_to_cdecl], [1], [Transform the output of nm in a proper C declaration]) _LT_DECL([global_symbol_to_import], [lt_cv_sys_global_symbol_to_import], [1], [Transform the output of nm into a list of symbols to manually relocate]) _LT_DECL([global_symbol_to_c_name_address], [lt_cv_sys_global_symbol_to_c_name_address], [1], [Transform the output of nm in a C name address pair]) _LT_DECL([global_symbol_to_c_name_address_lib_prefix], [lt_cv_sys_global_symbol_to_c_name_address_lib_prefix], [1], [Transform the output of nm in a C name address pair when lib prefix is needed]) _LT_DECL([nm_interface], [lt_cv_nm_interface], [1], [The name lister interface]) _LT_DECL([], [nm_file_list_spec], [1], [Specify filename containing input files for $NM]) ]) # _LT_CMD_GLOBAL_SYMBOLS # _LT_COMPILER_PIC([TAGNAME]) # --------------------------- m4_defun([_LT_COMPILER_PIC], [m4_require([_LT_TAG_COMPILER])dnl _LT_TAGVAR(lt_prog_compiler_wl, $1)= _LT_TAGVAR(lt_prog_compiler_pic, $1)= _LT_TAGVAR(lt_prog_compiler_static, $1)= m4_if([$1], [CXX], [ # C++ specific cases for pic, static, wl, etc. if test yes = "$GXX"; then _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' case $host_os in aix*) # All AIX code is PIC. if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; m68k) # FIXME: we need at least 68020 code to build shared libraries, but # adding the '-m68020' flag to GCC prevents building anything better, # like '-m68040'. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-m68020 -resident32 -malways-restore-a4' ;; esac ;; beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) # PIC is the default for these OSes. ;; mingw* | cygwin* | os2* | pw32* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). # Although the cygwin gcc ignores -fPIC, still need this for old-style # (--disable-auto-import) libraries m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) case $host_os in os2*) _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' ;; esac ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' ;; *djgpp*) # DJGPP does not support shared libraries at all _LT_TAGVAR(lt_prog_compiler_pic, $1)= ;; haiku*) # PIC is the default for Haiku. # The "-static" flag exists, but is broken. _LT_TAGVAR(lt_prog_compiler_static, $1)= ;; interix[[3-9]]*) # Interix 3.x gcc -fpic/-fPIC options generate broken code. # Instead, we relocate shared libraries at runtime. ;; sysv4*MP*) if test -d /usr/nec; then _LT_TAGVAR(lt_prog_compiler_pic, $1)=-Kconform_pic fi ;; hpux*) # PIC is the default for 64-bit PA HP-UX, but not for 32-bit # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag # sets the default TLS model and affects inlining. case $host_cpu in hppa*64*) ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac ;; *qnx* | *nto*) # QNX uses GNU C++, but need to define -shared option too, otherwise # it will coredump. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac else case $host_os in aix[[4-9]]*) # All AIX code is PIC. if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' else _LT_TAGVAR(lt_prog_compiler_static, $1)='-bnso -bI:/lib/syscalls.exp' fi ;; chorus*) case $cc_basename in cxch68*) # Green Hills C++ Compiler # _LT_TAGVAR(lt_prog_compiler_static, $1)="--no_auto_instantiation -u __main -u __premain -u _abort -r $COOL_DIR/lib/libOrb.a $MVME_DIR/lib/CC/libC.a $MVME_DIR/lib/classix/libcx.s.a" ;; esac ;; mingw* | cygwin* | os2* | pw32* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) ;; dgux*) case $cc_basename in ec++*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' ;; ghcx*) # Green Hills C++ Compiler _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' ;; *) ;; esac ;; freebsd* | dragonfly* | midnightbsd*) # FreeBSD uses GNU C++ ;; hpux9* | hpux10* | hpux11*) case $cc_basename in CC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' if test ia64 != "$host_cpu"; then _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' fi ;; aCC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' case $host_cpu in hppa*64*|ia64*) # +Z the default ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' ;; esac ;; *) ;; esac ;; interix*) # This is c89, which is MS Visual C++ (no shared libs) # Anyone wants to do a port? ;; irix5* | irix6* | nonstopux*) case $cc_basename in CC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' # CC pic flag -KPIC is the default. ;; *) ;; esac ;; linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) case $cc_basename in KCC*) # KAI C++ Compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='--backend -Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; ecpc* ) # old Intel C++ for x86_64, which still supported -KPIC. _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; icpc* ) # Intel C++, used to be incompatible with GCC. # ICC 10 doesn't accept -KPIC any more. _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; pgCC* | pgcpp*) # Portland Group C++ compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; cxx*) # Compaq C++ # Make sure the PIC flag is empty. It appears that all Alpha # Linux and Compaq Tru64 Unix objects are PIC. _LT_TAGVAR(lt_prog_compiler_pic, $1)= _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; xlc* | xlC* | bgxl[[cC]]* | mpixl[[cC]]*) # IBM XL 8.0, 9.0 on PPC and BlueGene _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-qpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-qstaticlink' ;; *) case `$CC -V 2>&1 | $SED 5q` in *Sun\ C*) # Sun C++ 5.9 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' ;; esac ;; esac ;; lynxos*) ;; m88k*) ;; mvs*) case $cc_basename in cxx*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-W c,exportall' ;; *) ;; esac ;; netbsd*) ;; *qnx* | *nto*) # QNX uses GNU C++, but need to define -shared option too, otherwise # it will coredump. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' ;; osf3* | osf4* | osf5*) case $cc_basename in KCC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='--backend -Wl,' ;; RCC*) # Rational C++ 2.4.1 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' ;; cxx*) # Digital/Compaq C++ _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # Make sure the PIC flag is empty. It appears that all Alpha # Linux and Compaq Tru64 Unix objects are PIC. _LT_TAGVAR(lt_prog_compiler_pic, $1)= _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; *) ;; esac ;; psos*) ;; solaris*) case $cc_basename in CC* | sunCC*) # Sun C++ 4.2, 5.x and Centerline C++ _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' ;; gcx*) # Green Hills C++ Compiler _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' ;; *) ;; esac ;; sunos4*) case $cc_basename in CC*) # Sun C++ 4.x _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; lcc*) # Lucid _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' ;; *) ;; esac ;; sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) case $cc_basename in CC*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; esac ;; tandem*) case $cc_basename in NCC*) # NonStop-UX NCC 3.20 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' ;; *) ;; esac ;; vxworks*) ;; *) _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no ;; esac fi ], [ if test yes = "$GCC"; then _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' case $host_os in aix*) # All AIX code is PIC. if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; m68k) # FIXME: we need at least 68020 code to build shared libraries, but # adding the '-m68020' flag to GCC prevents building anything better, # like '-m68040'. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-m68020 -resident32 -malways-restore-a4' ;; esac ;; beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) # PIC is the default for these OSes. ;; mingw* | cygwin* | pw32* | os2* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). # Although the cygwin gcc ignores -fPIC, still need this for old-style # (--disable-auto-import) libraries m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) case $host_os in os2*) _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' ;; esac ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' ;; haiku*) # PIC is the default for Haiku. # The "-static" flag exists, but is broken. _LT_TAGVAR(lt_prog_compiler_static, $1)= ;; hpux*) # PIC is the default for 64-bit PA HP-UX, but not for 32-bit # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag # sets the default TLS model and affects inlining. case $host_cpu in hppa*64*) # +Z the default ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac ;; interix[[3-9]]*) # Interix 3.x gcc -fpic/-fPIC options generate broken code. # Instead, we relocate shared libraries at runtime. ;; msdosdjgpp*) # Just because we use GCC doesn't mean we suddenly get shared libraries # on systems that don't support them. _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no enable_shared=no ;; *nto* | *qnx*) # QNX uses GNU C++, but need to define -shared option too, otherwise # it will coredump. _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' ;; sysv4*MP*) if test -d /usr/nec; then _LT_TAGVAR(lt_prog_compiler_pic, $1)=-Kconform_pic fi ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' ;; esac case $cc_basename in nvcc*) # Cuda Compiler Driver 2.2 _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Xlinker ' if test -n "$_LT_TAGVAR(lt_prog_compiler_pic, $1)"; then _LT_TAGVAR(lt_prog_compiler_pic, $1)="-Xcompiler $_LT_TAGVAR(lt_prog_compiler_pic, $1)" fi ;; esac else # PORTME Check for flag to pass linker flags through the system compiler. case $host_os in aix*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' if test ia64 = "$host_cpu"; then # AIX 5 now supports IA64 processor _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' else _LT_TAGVAR(lt_prog_compiler_static, $1)='-bnso -bI:/lib/syscalls.exp' fi ;; darwin* | rhapsody*) # PIC is the default on this platform # Common symbols not allowed in MH_DYLIB files _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' case $cc_basename in nagfor*) # NAG Fortran compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,-Wl,,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; esac ;; mingw* | cygwin* | pw32* | os2* | cegcc*) # This hack is so that the source file can tell whether it is being # built for inclusion in a dll (and should export symbols for example). m4_if([$1], [GCJ], [], [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) case $host_os in os2*) _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' ;; esac ;; hpux9* | hpux10* | hpux11*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # PIC is the default for IA64 HP-UX and 64-bit HP-UX, but # not for PA HP-UX. case $host_cpu in hppa*64*|ia64*) # +Z the default ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' ;; esac # Is there a better lt_prog_compiler_static that works with the bundled CC? _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' ;; irix5* | irix6* | nonstopux*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # PIC (with -KPIC) is the default. _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) case $cc_basename in # old Intel for x86_64, which still supported -KPIC. ecc*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; # icc used to be incompatible with GCC. # ICC 10 doesn't accept -KPIC any more. icc* | ifort*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; # Lahey Fortran 8.1. lf95*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='--shared' _LT_TAGVAR(lt_prog_compiler_static, $1)='--static' ;; nagfor*) # NAG Fortran compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,-Wl,,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; tcc*) # Fabrice Bellard et al's Tiny C Compiler _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; pgcc* | pgf77* | pgf90* | pgf95* | pgfortran*) # Portland Group compilers (*not* the Pentium gcc compiler, # which looks to be a dead project) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; ccc*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' # All Alpha code is PIC. _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' ;; xl* | bgxl* | bgf* | mpixl*) # IBM XL C 8.0/Fortran 10.1, 11.1 on PPC and BlueGene _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-qpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-qstaticlink' ;; *) case `$CC -V 2>&1 | $SED 5q` in *Sun\ Ceres\ Fortran* | *Sun*Fortran*\ [[1-7]].* | *Sun*Fortran*\ 8.[[0-3]]*) # Sun Fortran 8.3 passes all unrecognized flags to the linker _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='' ;; *Sun\ F* | *Sun*Fortran*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' ;; *Sun\ C*) # Sun C 5.9 _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' ;; *Intel*\ [[CF]]*Compiler*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' ;; *Portland\ Group*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fpic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; esac ;; esac ;; newsos6) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; 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then _LT_TAGVAR(lt_prog_compiler_pic, $1)='-Kconform_pic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' fi ;; sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; unicos*) _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no ;; uts4*) _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' ;; *) _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no ;; esac fi ]) case $host_os in # For platforms that do not support PIC, -DPIC is meaningless: *djgpp*) _LT_TAGVAR(lt_prog_compiler_pic, $1)= ;; *) _LT_TAGVAR(lt_prog_compiler_pic, $1)="$_LT_TAGVAR(lt_prog_compiler_pic, $1)@&t@m4_if([$1],[],[ -DPIC],[m4_if([$1],[CXX],[ -DPIC],[])])" ;; esac AC_CACHE_CHECK([for $compiler option to produce PIC], [_LT_TAGVAR(lt_cv_prog_compiler_pic, $1)], [_LT_TAGVAR(lt_cv_prog_compiler_pic, $1)=$_LT_TAGVAR(lt_prog_compiler_pic, $1)]) _LT_TAGVAR(lt_prog_compiler_pic, $1)=$_LT_TAGVAR(lt_cv_prog_compiler_pic, $1) # # Check to make sure the PIC flag actually works. # if test -n "$_LT_TAGVAR(lt_prog_compiler_pic, $1)"; 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$soname($shared_archive_member_spec.o)"; if test shr_64 = "$shared_archive_member_spec"; then func_echo_all "# 64"; else func_echo_all "# 32"; fi; cat $export_symbols ) > $output_objdir/$realname.d/$shared_archive_member_spec.imp~$AR $AR_FLAGS $output_objdir/$soname $output_objdir/$realname.d/$shared_archive_member_spec.o $output_objdir/$realname.d/$shared_archive_member_spec.imp' else # used by -dlpreopen to get the symbols _LT_TAGVAR(archive_expsym_cmds, $1)="$_LT_TAGVAR(archive_expsym_cmds, $1)"'~$MV $output_objdir/$realname.d/$soname $output_objdir' fi _LT_TAGVAR(archive_expsym_cmds, $1)="$_LT_TAGVAR(archive_expsym_cmds, $1)"'~$RM -r $output_objdir/$realname.d' fi fi ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support _LT_TAGVAR(archive_cmds, $1)='$CC -shared $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='' ;; m68k) _LT_TAGVAR(archive_cmds, $1)='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' _LT_TAGVAR(hardcode_minus_L, $1)=yes ;; esac ;; bsdi[[45]]*) _LT_TAGVAR(export_dynamic_flag_spec, $1)=-rdynamic ;; cygwin* | mingw* | pw32* | cegcc*) # When not using gcc, we currently assume that we are using # Microsoft Visual C++ or Intel C++ Compiler. # hardcode_libdir_flag_spec is actually meaningless, as there is # no search path for DLLs. case $cc_basename in cl* | icl*) # Native MSVC or ICC _LT_TAGVAR(hardcode_libdir_flag_spec, $1)=' ' _LT_TAGVAR(allow_undefined_flag, $1)=unsupported _LT_TAGVAR(always_export_symbols, $1)=yes _LT_TAGVAR(file_list_spec, $1)='@' # Tell ltmain to make .lib files, not .a files. libext=lib # Tell ltmain to make .dll files, not .so files. shrext_cmds=.dll # FIXME: Setting linknames here is a bad hack. _LT_TAGVAR(archive_cmds, $1)='$CC -o $output_objdir/$soname $libobjs $compiler_flags $deplibs -Wl,-DLL,-IMPLIB:"$tool_output_objdir$libname.dll.lib"~linknames=' _LT_TAGVAR(archive_expsym_cmds, $1)='if _LT_DLL_DEF_P([$export_symbols]); then cp "$export_symbols" "$output_objdir/$soname.def"; echo "$tool_output_objdir$soname.def" > "$output_objdir/$soname.exp"; else $SED -e '\''s/^/-link -EXPORT:/'\'' < $export_symbols > $output_objdir/$soname.exp; fi~ $CC -o $tool_output_objdir$soname $libobjs $compiler_flags $deplibs "@$tool_output_objdir$soname.exp" -Wl,-DLL,-IMPLIB:"$tool_output_objdir$libname.dll.lib"~ linknames=' # The linker will not automatically build a static lib if we build a DLL. # _LT_TAGVAR(old_archive_from_new_cmds, $1)='true' _LT_TAGVAR(enable_shared_with_static_runtimes, $1)=yes _LT_TAGVAR(exclude_expsyms, $1)='_NULL_IMPORT_DESCRIPTOR|_IMPORT_DESCRIPTOR_.*' _LT_TAGVAR(export_symbols_cmds, $1)='$NM $libobjs $convenience | $global_symbol_pipe | $SED -e '\''/^[[BCDGRS]][[ ]]/s/.*[[ ]]\([[^ ]]*\)/\1,DATA/'\'' | $SED -e '\''/^[[AITW]][[ ]]/s/.*[[ ]]//'\'' | sort | uniq > $export_symbols' # Don't use ranlib _LT_TAGVAR(old_postinstall_cmds, $1)='chmod 644 $oldlib' _LT_TAGVAR(postlink_cmds, $1)='lt_outputfile="@OUTPUT@"~ lt_tool_outputfile="@TOOL_OUTPUT@"~ case $lt_outputfile in *.exe|*.EXE) ;; *) lt_outputfile=$lt_outputfile.exe lt_tool_outputfile=$lt_tool_outputfile.exe ;; esac~ if test : != "$MANIFEST_TOOL" && test -f "$lt_outputfile.manifest"; then $MANIFEST_TOOL -manifest "$lt_tool_outputfile.manifest" -outputresource:"$lt_tool_outputfile" || exit 1; $RM "$lt_outputfile.manifest"; fi' ;; *) # Assume MSVC and ICC wrapper _LT_TAGVAR(hardcode_libdir_flag_spec, $1)=' ' _LT_TAGVAR(allow_undefined_flag, $1)=unsupported # Tell ltmain to make .lib files, not .a files. libext=lib # Tell ltmain to make .dll files, not .so files. shrext_cmds=.dll # FIXME: Setting linknames here is a bad hack. _LT_TAGVAR(archive_cmds, $1)='$CC -o $lib $libobjs $compiler_flags `func_echo_all "$deplibs" | $SED '\''s/ -lc$//'\''` -link -dll~linknames=' # The linker will automatically build a .lib file if we build a DLL. _LT_TAGVAR(old_archive_from_new_cmds, $1)='true' # FIXME: Should let the user specify the lib program. _LT_TAGVAR(old_archive_cmds, $1)='lib -OUT:$oldlib$oldobjs$old_deplibs' _LT_TAGVAR(enable_shared_with_static_runtimes, $1)=yes ;; esac ;; darwin* | rhapsody*) _LT_DARWIN_LINKER_FEATURES($1) ;; dgux*) _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor # support. Future versions do this automatically, but an explicit c++rt0.o # does not break anything, and helps significantly (at the cost of a little # extra space). freebsd2.2*) _LT_TAGVAR(archive_cmds, $1)='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags /usr/lib/c++rt0.o' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-R$libdir' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; # Unfortunately, older versions of FreeBSD 2 do not have this feature. freebsd2.*) _LT_TAGVAR(archive_cmds, $1)='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_minus_L, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; # FreeBSD 3 and greater uses gcc -shared to do shared libraries. freebsd* | dragonfly* | midnightbsd*) _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-R$libdir' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; hpux9*) if test yes = "$GCC"; then _LT_TAGVAR(archive_cmds, $1)='$RM $output_objdir/$soname~$CC -shared $pic_flag $wl+b $wl$install_libdir -o $output_objdir/$soname $libobjs $deplibs $compiler_flags~test "x$output_objdir/$soname" = "x$lib" || mv $output_objdir/$soname $lib' else _LT_TAGVAR(archive_cmds, $1)='$RM $output_objdir/$soname~$LD -b +b $install_libdir -o $output_objdir/$soname $libobjs $deplibs $linker_flags~test "x$output_objdir/$soname" = "x$lib" || mv $output_objdir/$soname $lib' fi _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl+b $wl$libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=: _LT_TAGVAR(hardcode_direct, $1)=yes # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. _LT_TAGVAR(hardcode_minus_L, $1)=yes _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-E' ;; hpux10*) if test yes,no = "$GCC,$with_gnu_ld"; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $wl+h $wl$soname $wl+b $wl$install_libdir -o $lib $libobjs $deplibs $compiler_flags' else _LT_TAGVAR(archive_cmds, $1)='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags' fi if test no = "$with_gnu_ld"; then _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl+b $wl$libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=: _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_direct_absolute, $1)=yes _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-E' # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. _LT_TAGVAR(hardcode_minus_L, $1)=yes fi ;; hpux11*) if test yes,no = "$GCC,$with_gnu_ld"; then case $host_cpu in hppa*64*) _LT_TAGVAR(archive_cmds, $1)='$CC -shared $wl+h $wl$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $wl+h $wl$soname $wl+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $wl+h $wl$soname $wl+b $wl$install_libdir -o $lib $libobjs $deplibs $compiler_flags' ;; esac else case $host_cpu in hppa*64*) _LT_TAGVAR(archive_cmds, $1)='$CC -b $wl+h $wl$soname -o $lib $libobjs $deplibs $compiler_flags' ;; ia64*) _LT_TAGVAR(archive_cmds, $1)='$CC -b $wl+h $wl$soname $wl+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' ;; *) m4_if($1, [], [ # Older versions of the 11.00 compiler do not understand -b yet # (HP92453-01 A.11.01.20 doesn't, HP92453-01 B.11.X.35175-35176.GP does) _LT_LINKER_OPTION([if $CC understands -b], _LT_TAGVAR(lt_cv_prog_compiler__b, $1), [-b], [_LT_TAGVAR(archive_cmds, $1)='$CC -b $wl+h $wl$soname $wl+b $wl$install_libdir -o $lib $libobjs $deplibs $compiler_flags'], [_LT_TAGVAR(archive_cmds, $1)='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags'])], [_LT_TAGVAR(archive_cmds, $1)='$CC -b $wl+h $wl$soname $wl+b $wl$install_libdir -o $lib $libobjs $deplibs $compiler_flags']) ;; esac fi if test no = "$with_gnu_ld"; then _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl+b $wl$libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=: case $host_cpu in hppa*64*|ia64*) _LT_TAGVAR(hardcode_direct, $1)=no _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; *) _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_direct_absolute, $1)=yes _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-E' # hardcode_minus_L: Not really in the search PATH, # but as the default location of the library. _LT_TAGVAR(hardcode_minus_L, $1)=yes ;; esac fi ;; irix5* | irix6* | nonstopux*) if test yes = "$GCC"; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations -o $lib' # Try to use the -exported_symbol ld option, if it does not # work, assume that -exports_file does not work either and # implicitly export all symbols. # This should be the same for all languages, so no per-tag cache variable. 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then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags $wl-retain-symbols-file,$export_symbols' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath,$libdir' _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-E' else _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath,$libdir' fi else _LT_TAGVAR(ld_shlibs, $1)=no fi ;; os2*) _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' _LT_TAGVAR(hardcode_minus_L, $1)=yes _LT_TAGVAR(allow_undefined_flag, $1)=unsupported shrext_cmds=.dll _LT_TAGVAR(archive_cmds, $1)='$ECHO "LIBRARY ${soname%$shared_ext} INITINSTANCE TERMINSTANCE" > $output_objdir/$libname.def~ $ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~ $ECHO "DATA MULTIPLE NONSHARED" >> $output_objdir/$libname.def~ $ECHO EXPORTS >> $output_objdir/$libname.def~ emxexp $libobjs | $SED /"_DLL_InitTerm"/d >> $output_objdir/$libname.def~ $CC -Zdll -Zcrtdll -o $output_objdir/$soname $libobjs $deplibs $compiler_flags $output_objdir/$libname.def~ emximp -o $lib $output_objdir/$libname.def' _LT_TAGVAR(archive_expsym_cmds, $1)='$ECHO "LIBRARY ${soname%$shared_ext} INITINSTANCE TERMINSTANCE" > $output_objdir/$libname.def~ $ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~ $ECHO "DATA MULTIPLE NONSHARED" >> $output_objdir/$libname.def~ $ECHO EXPORTS >> $output_objdir/$libname.def~ prefix_cmds="$SED"~ if test EXPORTS = "`$SED 1q $export_symbols`"; then prefix_cmds="$prefix_cmds -e 1d"; fi~ prefix_cmds="$prefix_cmds -e \"s/^\(.*\)$/_\1/g\""~ cat $export_symbols | $prefix_cmds >> $output_objdir/$libname.def~ $CC -Zdll -Zcrtdll -o $output_objdir/$soname $libobjs $deplibs $compiler_flags $output_objdir/$libname.def~ emximp -o $lib $output_objdir/$libname.def' _LT_TAGVAR(old_archive_From_new_cmds, $1)='emximp -o $output_objdir/${libname}_dll.a $output_objdir/$libname.def' _LT_TAGVAR(enable_shared_with_static_runtimes, $1)=yes _LT_TAGVAR(file_list_spec, $1)='@' ;; osf3*) if test yes = "$GCC"; then _LT_TAGVAR(allow_undefined_flag, $1)=' $wl-expect_unresolved $wl\*' _LT_TAGVAR(archive_cmds, $1)='$CC -shared$allow_undefined_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations -o $lib' else _LT_TAGVAR(allow_undefined_flag, $1)=' -expect_unresolved \*' _LT_TAGVAR(archive_cmds, $1)='$CC -shared$allow_undefined_flag $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib' fi _LT_TAGVAR(archive_cmds_need_lc, $1)='no' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath $wl$libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=: ;; osf4* | osf5*) # as osf3* with the addition of -msym flag if test yes = "$GCC"; then _LT_TAGVAR(allow_undefined_flag, $1)=' $wl-expect_unresolved $wl\*' _LT_TAGVAR(archive_cmds, $1)='$CC -shared$allow_undefined_flag $pic_flag $libobjs $deplibs $compiler_flags $wl-msym $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations -o $lib' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-rpath $wl$libdir' else _LT_TAGVAR(allow_undefined_flag, $1)=' -expect_unresolved \*' _LT_TAGVAR(archive_cmds, $1)='$CC -shared$allow_undefined_flag $libobjs $deplibs $compiler_flags -msym -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib' _LT_TAGVAR(archive_expsym_cmds, $1)='for i in `cat $export_symbols`; do printf "%s %s\\n" -exported_symbol "\$i" >> $lib.exp; done; printf "%s\\n" "-hidden">> $lib.exp~ $CC -shared$allow_undefined_flag $wl-input $wl$lib.exp $compiler_flags $libobjs $deplibs -soname $soname `test -n "$verstring" && $ECHO "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib~$RM $lib.exp' # Both c and cxx compiler support -rpath directly _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-rpath $libdir' fi _LT_TAGVAR(archive_cmds_need_lc, $1)='no' _LT_TAGVAR(hardcode_libdir_separator, $1)=: ;; solaris*) _LT_TAGVAR(no_undefined_flag, $1)=' -z defs' if test yes = "$GCC"; then wlarc='$wl' _LT_TAGVAR(archive_cmds, $1)='$CC -shared $pic_flag $wl-z ${wl}text $wl-h $wl$soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $CC -shared $pic_flag $wl-z ${wl}text $wl-M $wl$lib.exp $wl-h $wl$soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' else case `$CC -V 2>&1` in *"Compilers 5.0"*) wlarc='' _LT_TAGVAR(archive_cmds, $1)='$LD -G$allow_undefined_flag -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $LD -G$allow_undefined_flag -M $lib.exp -h $soname -o $lib $libobjs $deplibs $linker_flags~$RM $lib.exp' ;; *) wlarc='$wl' _LT_TAGVAR(archive_cmds, $1)='$CC -G$allow_undefined_flag -h $soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ $CC -G$allow_undefined_flag -M $lib.exp -h $soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' ;; esac fi _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-R$libdir' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no case $host_os in solaris2.[[0-5]] | solaris2.[[0-5]].*) ;; *) # The compiler driver will combine and reorder linker options, # but understands '-z linker_flag'. GCC discards it without '$wl', # but is careful enough not to reorder. # Supported since Solaris 2.6 (maybe 2.5.1?) if test yes = "$GCC"; then _LT_TAGVAR(whole_archive_flag_spec, $1)='$wl-z ${wl}allextract$convenience $wl-z ${wl}defaultextract' else _LT_TAGVAR(whole_archive_flag_spec, $1)='-z allextract$convenience -z defaultextract' fi ;; esac _LT_TAGVAR(link_all_deplibs, $1)=yes ;; sunos4*) if test sequent = "$host_vendor"; then # Use $CC to link under sequent, because it throws in some extra .o # files that make .init and .fini sections work. _LT_TAGVAR(archive_cmds, $1)='$CC -G $wl-h $soname -o $lib $libobjs $deplibs $compiler_flags' else _LT_TAGVAR(archive_cmds, $1)='$LD -assert pure-text -Bstatic -o $lib $libobjs $deplibs $linker_flags' fi _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' _LT_TAGVAR(hardcode_direct, $1)=yes _LT_TAGVAR(hardcode_minus_L, $1)=yes _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; sysv4) case $host_vendor in sni) _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_direct, $1)=yes # is this really true??? ;; siemens) ## LD is ld it makes a PLAMLIB ## CC just makes a GrossModule. _LT_TAGVAR(archive_cmds, $1)='$LD -G -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(reload_cmds, $1)='$CC -r -o $output$reload_objs' _LT_TAGVAR(hardcode_direct, $1)=no ;; motorola) _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_direct, $1)=no #Motorola manual says yes, but my tests say they lie ;; esac runpath_var='LD_RUN_PATH' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; sysv4.3*) _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no _LT_TAGVAR(export_dynamic_flag_spec, $1)='-Bexport' ;; sysv4*MP*) if test -d /usr/nec; then _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no runpath_var=LD_RUN_PATH hardcode_runpath_var=yes _LT_TAGVAR(ld_shlibs, $1)=yes fi ;; sysv4*uw2* | sysv5OpenUNIX* | sysv5UnixWare7.[[01]].[[10]]* | unixware7* | sco3.2v5.0.[[024]]*) _LT_TAGVAR(no_undefined_flag, $1)='$wl-z,text' _LT_TAGVAR(archive_cmds_need_lc, $1)=no _LT_TAGVAR(hardcode_shlibpath_var, $1)=no runpath_var='LD_RUN_PATH' if test yes = "$GCC"; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $wl-Bexport:$export_symbols $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' else _LT_TAGVAR(archive_cmds, $1)='$CC -G $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -G $wl-Bexport:$export_symbols $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' fi ;; sysv5* | sco3.2v5* | sco5v6*) # Note: We CANNOT use -z defs as we might desire, because we do not # link with -lc, and that would cause any symbols used from libc to # always be unresolved, which means just about no library would # ever link correctly. If we're not using GNU ld we use -z text # though, which does catch some bad symbols but isn't as heavy-handed # as -z defs. _LT_TAGVAR(no_undefined_flag, $1)='$wl-z,text' _LT_TAGVAR(allow_undefined_flag, $1)='$wl-z,nodefs' _LT_TAGVAR(archive_cmds_need_lc, $1)=no _LT_TAGVAR(hardcode_shlibpath_var, $1)=no _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='$wl-R,$libdir' _LT_TAGVAR(hardcode_libdir_separator, $1)=':' _LT_TAGVAR(link_all_deplibs, $1)=yes _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-Bexport' runpath_var='LD_RUN_PATH' if test yes = "$GCC"; then _LT_TAGVAR(archive_cmds, $1)='$CC -shared $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -shared $wl-Bexport:$export_symbols $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' else _LT_TAGVAR(archive_cmds, $1)='$CC -G $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' _LT_TAGVAR(archive_expsym_cmds, $1)='$CC -G $wl-Bexport:$export_symbols $wl-h,$soname -o $lib $libobjs $deplibs $compiler_flags' fi ;; uts4*) _LT_TAGVAR(archive_cmds, $1)='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' _LT_TAGVAR(hardcode_libdir_flag_spec, $1)='-L$libdir' _LT_TAGVAR(hardcode_shlibpath_var, $1)=no ;; *) _LT_TAGVAR(ld_shlibs, $1)=no ;; esac if test sni = "$host_vendor"; then case $host in sysv4 | sysv4.2uw2* | sysv4.3* | sysv5*) _LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-Blargedynsym' ;; esac fi fi ]) AC_MSG_RESULT([$_LT_TAGVAR(ld_shlibs, $1)]) test no = "$_LT_TAGVAR(ld_shlibs, $1)" && can_build_shared=no _LT_TAGVAR(with_gnu_ld, $1)=$with_gnu_ld _LT_DECL([], [libext], [0], [Old archive suffix (normally "a")])dnl _LT_DECL([], [shrext_cmds], [1], [Shared library suffix (normally ".so")])dnl _LT_DECL([], [extract_expsyms_cmds], [2], [The commands to extract the exported symbol list from a shared archive]) # # Do we need to explicitly link libc? # case "x$_LT_TAGVAR(archive_cmds_need_lc, $1)" in x|xyes) # Assume -lc should be added _LT_TAGVAR(archive_cmds_need_lc, $1)=yes if test yes,yes = "$GCC,$enable_shared"; then case $_LT_TAGVAR(archive_cmds, $1) in *'~'*) # FIXME: we may have to deal with multi-command sequences. ;; '$CC '*) # Test whether the compiler implicitly links with -lc since on some # systems, -lgcc has to come before -lc. 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These are needed # for certain cross-compile configurations and native mingw. m4_defun([_LT_PATH_CONVERSION_FUNCTIONS], [AC_REQUIRE([AC_CANONICAL_HOST])dnl AC_REQUIRE([AC_CANONICAL_BUILD])dnl AC_MSG_CHECKING([how to convert $build file names to $host format]) AC_CACHE_VAL(lt_cv_to_host_file_cmd, [case $host in *-*-mingw* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_host_file_cmd=func_convert_file_msys_to_w32 ;; *-*-cygwin* ) lt_cv_to_host_file_cmd=func_convert_file_cygwin_to_w32 ;; * ) # otherwise, assume *nix lt_cv_to_host_file_cmd=func_convert_file_nix_to_w32 ;; esac ;; *-*-cygwin* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_host_file_cmd=func_convert_file_msys_to_cygwin ;; *-*-cygwin* ) lt_cv_to_host_file_cmd=func_convert_file_noop ;; * ) # otherwise, assume *nix lt_cv_to_host_file_cmd=func_convert_file_nix_to_cygwin ;; esac ;; * ) # unhandled hosts (and "normal" native builds) lt_cv_to_host_file_cmd=func_convert_file_noop ;; esac ]) to_host_file_cmd=$lt_cv_to_host_file_cmd AC_MSG_RESULT([$lt_cv_to_host_file_cmd]) _LT_DECL([to_host_file_cmd], [lt_cv_to_host_file_cmd], [0], [convert $build file names to $host format])dnl AC_MSG_CHECKING([how to convert $build file names to toolchain format]) AC_CACHE_VAL(lt_cv_to_tool_file_cmd, [#assume ordinary cross tools, or native build. lt_cv_to_tool_file_cmd=func_convert_file_noop case $host in *-*-mingw* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_tool_file_cmd=func_convert_file_msys_to_w32 ;; esac ;; esac ]) to_tool_file_cmd=$lt_cv_to_tool_file_cmd AC_MSG_RESULT([$lt_cv_to_tool_file_cmd]) _LT_DECL([to_tool_file_cmd], [lt_cv_to_tool_file_cmd], [0], [convert $build files to toolchain format])dnl ])# _LT_PATH_CONVERSION_FUNCTIONS mpc-1.3.1/m4/mpc.m40000644000175100017460000001153014345571363010576 00000000000000# mpc.m4 # # Copyright (C) 2008, 2009, 2010, 2011, 2012, 2014, 2018 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your # option) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # SYNOPSIS # # # MPC_COMPLEX_H # # DESCRIPTION # # Check whether complex.h is usable; if yes, define HAVE_COMPLEX_H. # AC_DEFUN([MPC_COMPLEX_H], [ AC_CHECK_HEADER( [complex.h], [ m4_define( [MPC_CONFTEST], [ AC_LANG_PROGRAM( [[#include ]], [[complex double x = 1.0 + 2.0 * I; return (creal (x) + cimag (x));]] ) ] ) AC_SEARCH_LIBS([creal], [m]) # needed on Solaris AC_MSG_CHECKING([whether creal, cimag and I can be used]) AC_LINK_IFELSE( [MPC_CONFTEST], [ AC_MSG_RESULT([yes]) AC_DEFINE([HAVE_COMPLEX_H], [1], [complex.h present and usable]) ], [ AC_MSG_RESULT([no, build without support for C complex numbers]) ] ) ] ) ]) # # SYNOPSIS # # # MPC_GMP_CC_CFLAGS # # DESCRIPTION # # Checks if CC and CFLAGS can be extracted from gmp.h # essentially copied from mpfr # AC_DEFUN([MPC_GMP_CC_CFLAGS], [ AC_MSG_CHECKING(for CC and CFLAGS in gmp.h) GMP_CC= GMP_CFLAGS= # AC_PROG_CPP triggers the search for a C compiler; use hack instead for cpp in "$CPP" cpp "gcc -E" /lib/cpp "cc -E" "c99 -E" do echo foo > conftest.c if $cpp $CPPFLAGS conftest.c > /dev/null 2> /dev/null ; then # Get CC echo "#include \"gmp.h\"" > conftest.c echo "MPFR_OPTION __GMP_CC" >> conftest.c GMP_CC=`$cpp $CPPFLAGS conftest.c 2> /dev/null | $EGREP MPFR_OPTION | $SED -e 's/MPFR_OPTION //g;s/ *" *//g'` # Get CFLAGS echo "#include \"gmp.h\"" > conftest.c echo "MPFR_OPTION __GMP_CFLAGS" >> conftest.c GMP_CFLAGS=`$cpp $CPPFLAGS conftest.c 2> /dev/null | $EGREP MPFR_OPTION | $SED -e 's/MPFR_OPTION //g;s/ *" *//g'` break fi done if test -z "$GMP_CC$GMP_CFLAGS" ; then AC_MSG_RESULT(no) else AC_MSG_RESULT(yes [CC=$GMP_CC CFLAGS=$GMP_CFLAGS]) # Check for validity of CC and CFLAGS obtained from gmp.h AC_MSG_CHECKING(for CC=$GMP_CC and CFLAGS=$GMP_CFLAGS) echo "int main (void) { return 0; }" > conftest.c if $GMP_CC $GMP_CFLAGS -o conftest conftest.c 2> /dev/null ; then AC_MSG_RESULT(yes) CC=$GMP_CC CFLAGS=$GMP_CFLAGS else AC_MSG_RESULT(no) fi fi rm -f conftest* ]) # # SYNOPSIS # # # MPC_WINDOWS # # DESCRIPTION # # Additional checks on windows # libtool requires "-no-undefined" for win32 dll # It also disables the tests involving the linking with LIBGMP if DLL # AC_DEFUN([MPC_WINDOWS], [ if test "$enable_shared" = yes; then MPC_LDFLAGS="$MPC_LDFLAGS -no-undefined" AC_MSG_CHECKING(for DLL/static gmp) AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[ #include "gmp.h" #if !__GMP_LIBGMP_DLL #error error #endif ]], [[]])],[AC_MSG_RESULT(DLL)],[ AC_MSG_RESULT(static) AC_MSG_ERROR([gmp is not available as a DLL: use --enable-static --disable-shared]) ]) AC_MSG_CHECKING(for DLL/static mpfr) AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[ #include "mpfr.h" #if !__GMP_LIBGMP_DLL #error error #endif ]], [[]])],[AC_MSG_RESULT(DLL)],[ AC_MSG_RESULT(static) AC_MSG_ERROR([mpfr is not available as a DLL: use --enable-static --disable-shared]) ]) else AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[ #include "gmp.h" #if __GMP_LIBGMP_DLL #error error #endif ]], [[]])],[AC_MSG_RESULT(static)],[ AC_MSG_RESULT(DLL) AC_MSG_ERROR([gmp is only available as a DLL: use --disable-static --enable-shared]) ]) fi ;; ]) # # SYNOPSIS # # # MPC_GITVERSION # # DESCRIPTION # # If current version string contains "dev", substitutes the short git hash # into GITVERSION # AC_DEFUN([MPC_GITVERSION], [ if echo $VERSION | grep -c dev >/dev/null 2>&1 ; then AC_CHECK_PROG([HASGIT], [git], [yes], [no]) AS_IF([test "x$HASGIT" = "xyes"], [ AC_MSG_CHECKING([for current git version]) GITVERSION=esyscmd([git rev-parse --short HEAD]) AC_SUBST([GITVERSION]) AC_MSG_RESULT([$GITVERSION]) ]) fi ]) mpc-1.3.1/m4/valgrind-tests.m40000644000175100017460000000246513227377425012775 00000000000000# valgrind-tests.m4 serial 3 dnl Copyright (C) 2008-2014 Free Software Foundation, Inc. dnl This file is free software; the Free Software Foundation dnl gives unlimited permission to copy and/or distribute it, dnl with or without modifications, as long as this notice is preserved. dnl From Simon Josefsson dnl with adaptations to MPC # gl_VALGRIND_TESTS() # ------------------- # Check if valgrind is available, and set VALGRIND to it if available. AC_DEFUN([gl_VALGRIND_TESTS], [ # Run self-tests under valgrind? if test "$cross_compiling" = no; then AC_CHECK_PROGS(VALGRIND, valgrind) fi VALGRIND_OPTS="-q --error-exitcode=1 --leak-check=full" AC_MSG_CHECKING([whether valgrind is working]) if test -n "$VALGRIND" \ && $VALGRIND $VALGRIND_OPTS $SHELL -c 'exit 0' > /dev/null 2>&1; then AC_MSG_RESULT([yes]) AC_DEFINE([MPC_USE_VALGRIND], 1, [Use valgrind for make check]) # Addition AE: enable suppression file through a shell variable AC_MSG_CHECKING([for valgrind suppression file]) if test -n "$VALGRIND_SUPPRESSION"; then AC_MSG_RESULT($VALGRIND_SUPPRESSION) VALGRIND_OPTS="$VALGRIND_OPTS --suppressions=$VALGRIND_SUPPRESSION" else AC_MSG_RESULT([no]) fi else AC_MSG_RESULT([no]) VALGRIND= VALGRIND_OPTS= fi AC_SUBST([VALGRIND_OPTS]) ]) mpc-1.3.1/m4/ax_gcc_version.m40000644000175100017460000000472012426164730013005 00000000000000# =========================================================================== # http://www.gnu.org/software/autoconf-archive/ax_gcc_version.html # =========================================================================== # # SYNOPSIS # # AX_GCC_VERSION # # DESCRIPTION # # This macro retrieves the gcc version and returns it in the GCC_VERSION # variable if available, an empty string otherwise. # # LICENSE # # Copyright (c) 2009 Francesco Salvestrini # # This program is free software; you can redistribute it and/or modify it # under the terms of the GNU General Public License as published by the # Free Software Foundation; either version 2 of the License, or (at your # option) any later version. # # This program is distributed in the hope that it will be useful, but # WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General # Public License for more details. # # You should have received a copy of the GNU General Public License along # with this program. If not, see . # # As a special exception, the respective Autoconf Macro's copyright owner # gives unlimited permission to copy, distribute and modify the configure # scripts that are the output of Autoconf when processing the Macro. You # need not follow the terms of the GNU General Public License when using # or distributing such scripts, even though portions of the text of the # Macro appear in them. The GNU General Public License (GPL) does govern # all other use of the material that constitutes the Autoconf Macro. # # This special exception to the GPL applies to versions of the Autoconf # Macro released by the Autoconf Archive. When you make and distribute a # modified version of the Autoconf Macro, you may extend this special # exception to the GPL to apply to your modified version as well. #serial 7 AC_DEFUN([AX_GCC_VERSION], [ GCC_VERSION="" AX_GCC_OPTION([-dumpversion],[],[],[ ax_gcc_version_option=yes ],[ ax_gcc_version_option=no ]) AS_IF([test "x$GCC" = "xyes"],[ AS_IF([test "x$ax_gcc_version_option" != "xno"],[ AC_CACHE_CHECK([gcc version],[ax_cv_gcc_version],[ ax_cv_gcc_version="`$CC -dumpversion`" AS_IF([test "x$ax_cv_gcc_version" = "x"],[ ax_cv_gcc_version="" ]) ]) GCC_VERSION=$ax_cv_gcc_version ]) ]) AC_SUBST([GCC_VERSION]) ]) mpc-1.3.1/m4/ax_gcc_option.m40000644000175100017460000001031512433410014012610 00000000000000# =========================================================================== # http://www.gnu.org/software/autoconf-archive/ax_gcc_option.html # =========================================================================== # # OBSOLETE MACRO # # Deprecated in favor of AX_C_CHECK_FLAG, AX_CXX_CHECK_FLAG, # AX_CPP_CHECK_FLAG, AX_CXXCPP_CHECK_FLAG and AX_LD_CHECK_FLAG. # # SYNOPSIS # # AX_GCC_OPTION(OPTION,EXTRA-OPTIONS,TEST-PROGRAM,ACTION-IF-SUCCESSFUL,ACTION-IF-NOT-SUCCESFUL) # # DESCRIPTION # # AX_GCC_OPTION checks wheter gcc accepts the passed OPTION. 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See the GNU General # Public License for more details. # # You should have received a copy of the GNU General Public License along # with this program. If not, see . # # As a special exception, the respective Autoconf Macro's copyright owner # gives unlimited permission to copy, distribute and modify the configure # scripts that are the output of Autoconf when processing the Macro. You # need not follow the terms of the GNU General Public License when using # or distributing such scripts, even though portions of the text of the # Macro appear in them. The GNU General Public License (GPL) does govern # all other use of the material that constitutes the Autoconf Macro. # # This special exception to the GPL applies to versions of the Autoconf # Macro released by the Autoconf Archive. When you make and distribute a # modified version of the Autoconf Macro, you may extend this special # exception to the GPL to apply to your modified version as well. #serial 13 AC_DEFUN([AX_GCC_OPTION], [ AC_REQUIRE([AC_PROG_CC]) AC_MSG_CHECKING([if gcc accepts $1 option]) AS_IF([ test "x$GCC" = "xyes" ],[ AS_IF([ test -z "$3" ],[ ax_gcc_option_test="int main() { return 0; }" ],[ ax_gcc_option_test="$3" ]) # Dump the test program to file cat < conftest.c $ax_gcc_option_test EOF # Dump back the file to the log, useful for debugging purposes AC_TRY_COMMAND(cat conftest.c 1>&AS_MESSAGE_LOG_FD) AS_IF([ AC_TRY_COMMAND($CC $2 $1 -c conftest.c 1>&AS_MESSAGE_LOG_FD) ],[ AC_MSG_RESULT([yes]) $4 ],[ AC_MSG_RESULT([no]) $5 ]) ],[ AC_MSG_RESULT([no gcc available]) ]) ]) mpc-1.3.1/README0000644000175100017460000000641214345571363010120 00000000000000Copyright (C) INRIA 2003, 2005, 2007, 2008, 2009, 2010, 2011, 2012, 2014, 2015, 2018, 2020, 2022 Copying and distribution of this file, with or without modification, are permitted in any medium without royalty provided the copyright notice and this notice are preserved. This file is offered as-is, without any warranty. GNU MPC is a complex floating-point library with exact rounding. It is based on the GNU MPFR floating-point library (http://www.mpfr.org/), which is itself based on the GNU MP library (http://gmplib.org/). Installing GNU MPC ================== This is for the impatient, for deeper explanations see the chapter "Installing GNU MPC" in the Texinfo documentation (type 'info mpc.info'). 0. You first need to install GMP, the GNU Multiprecision Arithmetic Library, see , and GNU MPFR, see . GNU MPC requires GMP version 5.0.0 or later and GNU MPFR version 4.1.0 or later. 1. In the directory of the GNU MPC archive, type tar xzf mpc-1.3.1.tar.gz cd mpc-1.3.1 ./configure make This assumes that GMP and GNU MPFR are installed in a directory searched by default by the compiler. Otherwise, use --with-gmp=DIR or --with-mpfr=DIR with ./configure (see the Texinfo documentation). 2. You should run the test suite, type make check If any error occurs, please report it on the mailing list . 3. To install the GNU MPC library, type make install By default, the files are copied into subdirectories of /usr/local. You need write permissions on these directories, or pass an alternative installation directory using the --prefix option to ./configure. 4. You can optionally create documentation, type make dvi or make ps This requires the Texinfo package (version 4.2 at least). In case of difficulties, please send a description of the problem to . ############################################################################## Known problems: =============== When LD_LIBRARY_PATH is set to various paths, it might confuse the configure script, even with --with-gmp and --with-mpfr options. Then try to unset LD_LIBRARY_PATH. ############################################################################## Note for AIX users: =================== If GMP was built with the 64-bit ABI, before building and testing GNU MPC, it might be necessary to set the OBJECT_MODE environment variable to 64 by, e.g., export OBJECT_MODE=64 This has been tested with the C compiler IBM XL C/C++ Enterprise Edition V8.0 for AIX, version: 08.00.0000.0021, GMP 4.2.4 and GNU MPFR 2.4.1. ############################################################################## Note for Windows users: ======================= If you want to compile mpc with mingw in the msys shell, you might need to add the following to the configure command (or in your environment): LDFLAGS=-L/usr/local/lib CPPFLAGS=-I/usr/local/include In addition, you might need to give the following additional argument to configure (reported for mpc-0.9): CPP="x86_64-w64-mingw32-gcc -E" (reported by Sisyphus) A project for Visual Studio is maintained independently by Brian Gladman at https://github.com/BrianGladman/mpc mpc-1.3.1/tools/0000755000175100017460000000000014346567725010465 500000000000000mpc-1.3.1/tools/Makefile.am0000644000175100017460000000153013717736770012437 00000000000000## tools/Makefile.am -- Process this file with automake to produce Makefile.in ## ## Copyright (C) 2014 CNRS ## Copyright (C) 2020 INRIA ## ## This file is part of GNU MPC. ## ## GNU MPC is free software; you can redistribute it and/or modify it under ## the terms of the GNU Lesser General Public License as published by the ## Free Software Foundation; either version 3 of the License, or (at your ## option) any later version. ## ## GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY ## WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS ## FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for ## more details. ## ## You should have received a copy of the GNU Lesser General Public License ## along with this program. If not, see http://www.gnu.org/licenses/ . SUBDIRS = bench mpcheck mpc-1.3.1/tools/mpcheck/0000755000175100017460000000000014346567725012077 500000000000000mpc-1.3.1/tools/mpcheck/Makefile.am0000644000175100017460000000211213717736770014046 00000000000000## tools/mpcheck/Makefile.am -- Process this file with automake to produce Makefile.in ## ## Copyright (C) 2014 CNRS ## Copyright (C) 2020 INRIA ## ## This file is part of GNU MPC. ## ## GNU MPC is free software; you can redistribute it and/or modify it under ## the terms of the GNU Lesser General Public License as published by the ## Free Software Foundation; either version 3 of the License, or (at your ## option) any later version. ## ## GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY ## WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS ## FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for ## more details. ## ## You should have received a copy of the GNU Lesser General Public License ## along with this program. If not, see http://www.gnu.org/licenses/ . 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GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ /* the GNU libc provides the following functions (as of 2.31), with 'f' suffix for the float/binary32 version, with no suffix for the double/binary64 version, with 'l' suffix for the long double version, and with 'f128' suffix for the __float128 version: cabs casinh cexp csinh cacos catan clog csqrt cacosh catanh clog10 ctan carg ccos cpow ctanh casin ccosh csin */ #define _GNU_SOURCE /* for clog10 */ #include #include #include #include #include #include #include #define MPFR_WANT_FLOAT128 #include "mpc.h" #ifdef __GNUC__ #include #endif #define PRECISION 113 #define EMAX 16384 #define TYPE _Float128 #define SUFFIX f128 #define mpfr_set_type mpfr_set_float128 static TYPE complex mpc_get_type (mpc_t z, mpc_rnd_t rnd) { TYPE x, y; /* there is no mpc_get_float128c function */ x = mpfr_get_float128 (mpc_realref (z), MPC_RND_RE(rnd)); y = mpfr_get_float128 (mpc_imagref (z), MPC_RND_IM(rnd)); return x + I * y; } static int mpc_set_type (mpc_t x, TYPE complex y, mpc_rnd_t rnd) { /* there is no mpc_set_float128c function */ mpfr_set_float128 (mpc_realref (x), crealf128 (y), MPC_RND_RE(rnd)); mpfr_set_float128 (mpc_imagref (x), cimagf128 (y), MPC_RND_IM(rnd)); } gmp_randstate_t state; mpz_t expz; /* global variable used in mpcheck_random */ unsigned long seed = 0; int verbose = 0; mpfr_exp_t emin, emax; #include "mpcheck-common.c" #define FOO add #define CFOO(x,y) (x+y) #include "mpcheck-template3.c" #define FOO sub #define CFOO(x,y) (x-y) #include "mpcheck-template3.c" #define FOO mul #define CFOO(x,y) (x*y) #include "mpcheck-template3.c" #define FOO div #define CFOO(x,y) (x/y) #include "mpcheck-template3.c" #define FOO pow #include "mpcheck-template3.c" #define FOO abs #include "mpcheck-template2.c" #define FOO arg #include "mpcheck-template2.c" #define FOO sqrt #include "mpcheck-template1.c" #define FOO acos #include "mpcheck-template1.c" #define FOO acosh #include "mpcheck-template1.c" #define FOO asin #include "mpcheck-template1.c" #define FOO asinh #include "mpcheck-template1.c" #define FOO atan #include "mpcheck-template1.c" #define FOO atanh #include "mpcheck-template1.c" #define FOO cos #include "mpcheck-template1.c" #define FOO cosh #include "mpcheck-template1.c" #define FOO exp #include "mpcheck-template1.c" #define FOO log #include "mpcheck-template1.c" #define FOO log10 #include "mpcheck-template1.c" #define FOO sin #include "mpcheck-template1.c" #define FOO sinh #include "mpcheck-template1.c" #define FOO tan #include "mpcheck-template1.c" #define FOO tanh #include "mpcheck-template1.c" int main (int argc, char *argv[]) { mpfr_prec_t p = PRECISION; /* precision of 'double' */ unsigned long n = 1000000; /* default number of random tests per function */ while (argc >= 2 && argv[1][0] == '-') { if (argc >= 3 && strcmp (argv[1], "-p") == 0) { p = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-seed") == 0) { seed = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-num") == 0) { n = atoi (argv[2]); argc -= 2; argv += 2; } else if (strcmp (argv[1], "-v") == 0) { verbose ++; argc --; argv ++; } else if (strcmp (argv[1], "-check") == 0) { recheck = 1; argc --; argv ++; } else { fprintf (stderr, "Unknown option %s\n", argv[1]); exit (1); } } /* set exponent range */ emin = -EMAX - 64 + 4; /* should be -16444 like for long double */ emax = EMAX; mpfr_set_emin (emin); mpfr_set_emax (emax); gmp_randinit_default (state); mpz_init (expz); printf ("Using GMP %s, MPFR %s\n", gmp_version, mpfr_get_version ()); #ifdef __GNUC__ printf ("GNU libc version: %s\n", gnu_get_libc_version ()); printf ("GNU libc release: %s\n", gnu_get_libc_release ()); #endif if (seed == 0) seed = getpid (); printf ("Using random seed %lu\n", seed); /* (complex,complex) -> complex */ test_add (p, n); test_sub (p, n); test_mul (p, n); test_div (p, n); test_pow (p, n); /* complex -> real */ test_abs (p, n); test_arg (p, n); /* complex -> complex */ test_sqrt (p, n); test_acos (p, n); test_acosh (p, n); test_asin (p, n); test_asinh (p, n); test_atan (p, n); test_atanh (p, n); test_cos (p, n); test_cosh (p, n); test_exp (p, n); test_log (p, n); test_log10 (p, n); test_sin (p, n); test_sinh (p, n); test_tan (p, n); test_tanh (p, n); gmp_randclear (state); mpz_clear (expz); report_maximal_errors (); return 0; } mpc-1.3.1/tools/mpcheck/README0000644000175100017460000000027313717736770012700 00000000000000The mpcheck tool provides tests to check the MPC library against the C library. It is meant as a tool for MPC developers, or for people who want to assert the accuracy of the C library. mpc-1.3.1/tools/mpcheck/mpcheck-double.c0000644000175100017460000001236313717736770015051 00000000000000/* mpcheck-double -- compare mpc functions against "double complex" from the GNU libc implementation Copyright (C) 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ /* the GNU libc provides the following functions (as of 2.31), with 'f' suffix for the float/binary32 version, with no suffix for the double/binary64 version, with 'l' suffix for the long double version, and with 'f128' suffix for the __float128 version: cabs casinh cexp csinh cacos catan clog csqrt cacosh catanh clog10 ctan carg ccos cpow ctanh casin ccosh csin */ #define _GNU_SOURCE /* for clog10 */ #include #include #include #include #include #include #include #ifdef __GNUC__ #include #endif #include "mpc.h" #define PRECISION 53 #define EMAX 1024 #define TYPE double #define SUFFIX #define mpc_get_type mpc_get_dc #define mpc_set_type mpc_set_dc #define mpfr_set_type mpfr_set_d gmp_randstate_t state; mpz_t expz; /* global variable used in mpcheck_random */ unsigned long seed = 0; int verbose = 0; mpfr_exp_t emin, emax; #include "mpcheck-common.c" #define FOO add #define CFOO(x,y) (x+y) #include "mpcheck-template3.c" #define FOO sub #define CFOO(x,y) (x-y) #include "mpcheck-template3.c" #define FOO mul #define CFOO(x,y) (x*y) #include "mpcheck-template3.c" #define FOO div #define CFOO(x,y) (x/y) #include "mpcheck-template3.c" #define FOO pow #include "mpcheck-template3.c" #define FOO abs #include "mpcheck-template2.c" #define FOO arg #include "mpcheck-template2.c" #define FOO sqrt #include "mpcheck-template1.c" #define FOO acos #include "mpcheck-template1.c" #define FOO acosh #include "mpcheck-template1.c" #define FOO asin #include "mpcheck-template1.c" #define FOO asinh #include "mpcheck-template1.c" #define FOO atan #include "mpcheck-template1.c" #define FOO atanh #include "mpcheck-template1.c" #define FOO cos #include "mpcheck-template1.c" #define FOO cosh #include "mpcheck-template1.c" #define FOO exp #include "mpcheck-template1.c" #define FOO log #include "mpcheck-template1.c" #define FOO log10 #include "mpcheck-template1.c" #define FOO sin #include "mpcheck-template1.c" #define FOO sinh #include "mpcheck-template1.c" /* use reduced exponent range for tan and tanh */ #define FOO_EMIN -8 #define FOO_EMAX 8 #define FOO tan #include "mpcheck-template1.c" #define FOO tanh #include "mpcheck-template1.c" #undef FOO_EMIN #undef FOO_EMAX int main (int argc, char *argv[]) { mpfr_prec_t p = PRECISION; /* precision of 'double' */ unsigned long n = 1000000; /* default number of random tests per function */ while (argc >= 2 && argv[1][0] == '-') { if (argc >= 3 && strcmp (argv[1], "-p") == 0) { p = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-seed") == 0) { seed = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-num") == 0) { n = atoi (argv[2]); argc -= 2; argv += 2; } else if (strcmp (argv[1], "-v") == 0) { verbose ++; argc --; argv ++; } else if (strcmp (argv[1], "-check") == 0) { recheck = 1; argc --; argv ++; } else { fprintf (stderr, "Unknown option %s\n", argv[1]); exit (1); } } /* set exponent range */ emin = -EMAX - PRECISION + 4; /* should be -1073 */ emax = EMAX; mpfr_set_emin (emin); mpfr_set_emax (emax); gmp_randinit_default (state); mpz_init (expz); printf ("Using GMP %s, MPFR %s\n", gmp_version, mpfr_get_version ()); #ifdef __GNUC__ printf ("GNU libc version: %s\n", gnu_get_libc_version ()); printf ("GNU libc release: %s\n", gnu_get_libc_release ()); #endif if (seed == 0) seed = getpid (); printf ("Using random seed %lu\n", seed); /* (complex,complex) -> complex */ test_add (p, n); test_sub (p, n); test_mul (p, n); test_div (p, n); test_pow (p, n); /* complex -> real */ test_abs (p, n); test_arg (p, n); /* complex -> complex */ test_sqrt (p, n); test_acos (p, n); test_acosh (p, n); test_asin (p, n); test_asinh (p, n); test_atan (p, n); test_atanh (p, n); test_cos (p, n); test_cosh (p, n); test_exp (p, n); test_log (p, n); test_log10 (p, n); test_sin (p, n); test_sinh (p, n); test_tan (p, n); test_tanh (p, n); gmp_randclear (state); mpz_clear (expz); report_maximal_errors (); return 0; } mpc-1.3.1/tools/mpcheck/mpcheck-longdouble.c0000644000175100017460000001222013717736770015721 00000000000000/* mpcheck-longdouble -- compare mpc functions against "long double complex" from the GNU libc implementation Copyright (C) 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ /* the GNU libc provides the following functions (as of 2.31), with 'f' suffix for the float/binary32 version, with no suffix for the double/binary64 version, with 'l' suffix for the long double version, and with 'f128' suffix for the __float128 version: cabs casinh cexp csinh cacos catan clog csqrt cacosh catanh clog10 ctan carg ccos cpow ctanh casin ccosh csin */ #define _GNU_SOURCE /* for clog10 */ #include #include #include #include #include #include #include #include "mpc.h" #ifdef __GNUC__ #include #endif #define PRECISION 64 #define EMAX 16384 #define TYPE long double #define SUFFIX l #define mpc_get_type mpc_get_ldc #define mpc_set_type mpc_set_ldc #define mpfr_set_type mpfr_set_ld gmp_randstate_t state; mpz_t expz; /* global variable used in mpcheck_random */ unsigned long seed = 0; int verbose = 0; mpfr_exp_t emin, emax; #include "mpcheck-common.c" #define FOO add #define CFOO(x,y) (x+y) #include "mpcheck-template3.c" #define FOO sub #define CFOO(x,y) (x-y) #include "mpcheck-template3.c" #define FOO mul #define CFOO(x,y) (x*y) #include "mpcheck-template3.c" #define FOO div #define CFOO(x,y) (x/y) #include "mpcheck-template3.c" #define FOO pow #include "mpcheck-template3.c" #define FOO abs #include "mpcheck-template2.c" #define FOO arg #include "mpcheck-template2.c" #define FOO sqrt #include "mpcheck-template1.c" #define FOO acos #include "mpcheck-template1.c" #define FOO acosh #include "mpcheck-template1.c" #define FOO asin #include "mpcheck-template1.c" #define FOO asinh #include "mpcheck-template1.c" #define FOO atan #include "mpcheck-template1.c" #define FOO atanh #include "mpcheck-template1.c" #define FOO cos #include "mpcheck-template1.c" #define FOO cosh #include "mpcheck-template1.c" #define FOO exp #include "mpcheck-template1.c" #define FOO log #include "mpcheck-template1.c" #define FOO log10 #include "mpcheck-template1.c" #define FOO sin #include "mpcheck-template1.c" #define FOO sinh #include "mpcheck-template1.c" #define FOO tan #include "mpcheck-template1.c" #define FOO tanh #include "mpcheck-template1.c" int main (int argc, char *argv[]) { mpfr_prec_t p = PRECISION; /* precision of 'double' */ unsigned long n = 1000000; /* default number of random tests per function */ while (argc >= 2 && argv[1][0] == '-') { if (argc >= 3 && strcmp (argv[1], "-p") == 0) { p = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-seed") == 0) { seed = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-num") == 0) { n = atoi (argv[2]); argc -= 2; argv += 2; } else if (strcmp (argv[1], "-v") == 0) { verbose ++; argc --; argv ++; } else if (strcmp (argv[1], "-check") == 0) { recheck = 1; argc --; argv ++; } else { fprintf (stderr, "Unknown option %s\n", argv[1]); exit (1); } } /* set exponent range */ emin = -EMAX - PRECISION + 4; /* should be -16444 */ emax = EMAX; mpfr_set_emin (emin); mpfr_set_emax (emax); gmp_randinit_default (state); mpz_init (expz); printf ("Using GMP %s, MPFR %s\n", gmp_version, mpfr_get_version ()); #ifdef __GNUC__ printf ("GNU libc version: %s\n", gnu_get_libc_version ()); printf ("GNU libc release: %s\n", gnu_get_libc_release ()); #endif if (seed == 0) seed = getpid (); printf ("Using random seed %lu\n", seed); /* (complex,complex) -> complex */ test_add (p, n); test_sub (p, n); test_mul (p, n); test_div (p, n); test_pow (p, n); /* complex -> real */ test_abs (p, n); test_arg (p, n); /* complex -> complex */ test_sqrt (p, n); test_acos (p, n); test_acosh (p, n); test_asin (p, n); test_asinh (p, n); test_atan (p, n); test_atanh (p, n); test_cos (p, n); test_cosh (p, n); test_exp (p, n); test_log (p, n); test_log10 (p, n); test_sin (p, n); test_sinh (p, n); test_tan (p, n); test_tanh (p, n); gmp_randclear (state); mpz_clear (expz); report_maximal_errors (); return 0; } mpc-1.3.1/tools/mpcheck/mpcheck-float.c0000644000175100017460000001255513717736770014707 00000000000000/* mpcheck-float -- compare mpc functions against "float complex" from the GNU libc implementation Copyright (C) 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ /* the GNU libc provides the following functions (as of 2.31), with 'f' suffix for the float/binary32 version, with no suffix for the double/binary64 version, with 'l' suffix for the long double version, and with 'f128' suffix for the __float128 version: cabs casinh cexp csinh cacos catan clog csqrt cacosh catanh clog10 ctan carg ccos cpow ctanh casin ccosh csin */ #define _GNU_SOURCE /* for clog10 */ #include #include #include #include #include #include #include #include "mpc.h" #ifdef __GNUC__ #include #endif #define PRECISION 24 #define EMAX 128 #define TYPE float #define SUFFIX f #define mpfr_set_type mpfr_set_flt static TYPE complex mpc_get_type (mpc_t x, mpc_rnd_t rnd) { /* there is no mpc_get_fltc function */ return (TYPE complex) mpc_get_dc (x, rnd); } static int mpc_set_type (mpc_t x, TYPE complex y, mpc_rnd_t rnd) { /* there is no mpc_set_fltc function */ return mpc_set_dc (x, (double complex) y, rnd); } gmp_randstate_t state; mpz_t expz; /* global variable used in mpcheck_random */ unsigned long seed = 0; int verbose = 0; mpfr_exp_t emin, emax; #include "mpcheck-common.c" #define FOO add #define CFOO(x,y) (x+y) #include "mpcheck-template3.c" #define FOO sub #define CFOO(x,y) (x-y) #include "mpcheck-template3.c" #define FOO mul #define CFOO(x,y) (x*y) #include "mpcheck-template3.c" #define FOO div #define CFOO(x,y) (x/y) #include "mpcheck-template3.c" #define FOO pow #include "mpcheck-template3.c" #define FOO abs #include "mpcheck-template2.c" #define FOO arg #include "mpcheck-template2.c" #define FOO sqrt #include "mpcheck-template1.c" #define FOO acos #include "mpcheck-template1.c" #define FOO acosh #include "mpcheck-template1.c" #define FOO asin #include "mpcheck-template1.c" #define FOO asinh #include "mpcheck-template1.c" #define FOO atan #include "mpcheck-template1.c" #define FOO atanh #include "mpcheck-template1.c" #define FOO cos #include "mpcheck-template1.c" #define FOO cosh #include "mpcheck-template1.c" #define FOO exp #include "mpcheck-template1.c" #define FOO log #include "mpcheck-template1.c" #define FOO log10 #include "mpcheck-template1.c" #define FOO sin #include "mpcheck-template1.c" #define FOO sinh #include "mpcheck-template1.c" #define FOO tan #include "mpcheck-template1.c" #define FOO tanh #include "mpcheck-template1.c" int main (int argc, char *argv[]) { mpfr_prec_t p = PRECISION; /* precision of 'float' */ unsigned long n = 1000000; /* default number of random tests per function */ while (argc >= 2 && argv[1][0] == '-') { if (argc >= 3 && strcmp (argv[1], "-p") == 0) { p = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-seed") == 0) { seed = atoi (argv[2]); argc -= 2; argv += 2; } else if (argc >= 3 && strcmp (argv[1], "-num") == 0) { n = atoi (argv[2]); argc -= 2; argv += 2; } else if (strcmp (argv[1], "-v") == 0) { verbose ++; argc --; argv ++; } else if (strcmp (argv[1], "-check") == 0) { recheck = 1; argc --; argv ++; } else { fprintf (stderr, "Unknown option %s\n", argv[1]); exit (1); } } /* set exponent range */ emin = -EMAX - PRECISION + 4; /* should be -148 */ emax = EMAX; mpfr_set_emin (emin); mpfr_set_emax (emax); gmp_randinit_default (state); mpz_init (expz); printf ("Using GMP %s, MPFR %s\n", gmp_version, mpfr_get_version ()); #ifdef __GNUC__ printf ("GNU libc version: %s\n", gnu_get_libc_version ()); printf ("GNU libc release: %s\n", gnu_get_libc_release ()); #endif if (seed == 0) seed = getpid (); printf ("Using random seed %lu\n", seed); /* (complex,complex) -> complex */ test_add (p, n); test_sub (p, n); test_mul (p, n); test_div (p, n); test_pow (p, n); /* complex -> real */ test_abs (p, n); test_arg (p, n); /* complex -> complex */ test_sqrt (p, n); test_acos (p, n); test_acosh (p, n); test_asin (p, n); test_asinh (p, n); test_atan (p, n); test_atanh (p, n); test_cos (p, n); test_cosh (p, n); test_exp (p, n); test_log (p, n); test_log10 (p, n); test_sin (p, n); test_sinh (p, n); test_tan (p, n); test_tanh (p, n); gmp_randclear (state); mpz_clear (expz); report_maximal_errors (); return 0; } mpc-1.3.1/tools/Makefile.in0000644000175100017460000004460714345643156012455 00000000000000# Makefile.in generated by automake 1.16.5 from Makefile.am. # @configure_input@ # Copyright (C) 1994-2021 Free Software Foundation, Inc. # This Makefile.in is free software; the Free Software Foundation # gives unlimited permission to copy and/or distribute it, # with or without modifications, as long as this notice is preserved. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY, to the extent permitted by law; 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Copyright (C) 2014 INRIA - CNRS This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ /* compute the time to run accurately niter calls of the function for any number of inputs */ #define DECLARE_ACCURATE_TIME_NOP(func, funccall) \ unsigned long int ACCURATE_TIME_NOP##func( unsigned long int niter, int n, mpc_t* z, mpc_t* x, mpc_t* y, int nop);\ unsigned long int ACCURATE_TIME_NOP##func( unsigned long int niter, int n, mpc_t* z, mpc_t* x, \ __attribute__ ((__unused__)) mpc_t* y, \ __attribute__ ((__unused__)) int nop)\ { \ unsigned long int i; int kn; \ unsigned long int t0 = get_cputime (); \ for (i = niter, kn=0; i > 0; i--) \ { \ funccall; \ kn++; if (kn==n) kn = 0; \ } \ return get_cputime () - t0; \ } /* address of the function to time accurately niter calls of func */ #define ADDR_ACCURATE_TIME_NOP(func) ACCURATE_TIME_NOP##func /* address of the function to time one call of func */ #define ADDR_TIME_NOP(func) TIME_NOP##func /* compute the time to run only one call of the function with two inputs */ #define DECLARE_TIME_NOP(func, funcall, nop) \ DECLARE_ACCURATE_TIME_NOP(func, funcall) \ double TIME_NOP##func(int n, mpc_t* z, mpc_t* x, mpc_t* y); \ double TIME_NOP##func(int n, mpc_t* z, mpc_t* x, mpc_t* y) \ { \ double t; unsigned long int nbcall, mytime; \ for (nbcall = 1, mytime=0; mytime<25000; ) \ { \ nbcall <<= 1; \ mytime = ACCURATE_TIME_NOP##func(nbcall, n, z, x, y, nop); \ } \ t = (double) mytime/ nbcall ; \ return t; \ } /* compute the time to run accurately niter calls of the function */ /* functions with 2 operands */ #define DECLARE_TIME_2OP(func) DECLARE_TIME_NOP(func, func(z[kn],x[kn],y[kn], MPC_RNDNN), 2 ) /* functions with 1 operand */ #define DECLARE_TIME_1OP(func) DECLARE_TIME_NOP(func, func(z[kn],x[kn], MPC_RNDNN), 1 ) mpc-1.3.1/tools/bench/mpcbench.c0000644000175100017460000002276513227377425013414 00000000000000/* mpcbench.c -- perform the benchmark on the complex numbers. Copyright (C) 2014 CNRS - INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "config.h" #include #include #include #ifdef HAVE_SYS_TIME_H #include #endif #ifdef HAVE_SYS_RESOURCE_H #include #endif #include "mpc.h" #include "benchtime.h" static unsigned long get_cputime (void); /* enumeration of the group of functions */ enum egroupfunc { egroup_arith = 0, /* e.g., arith ... */ egroup_special, /* e.g., cos, ... */ egroup_last /* to get the number of enum */ }; /* name of the group of functions */ const char *groupname [] = { "Arith ", "Special" }; struct benchfunc { const char *name; /* name of the function */ double (*func_init) (int n, mpc_t * z, mpc_t * x, mpc_t * y); /* compute the time for one call (not accurate) */ unsigned long int (*func_accurate) (unsigned long int niter, int n, mpc_t * z, mpc_t * x, mpc_t * y, int nop); /* compute the time for "niter" calls (accurate) */ enum egroupfunc group; /* group of the function */ int noperands; /* number of operands */ }; /* declare the function to compute the cost for one call of the mpc function */ DECLARE_TIME_2OP (mpc_add) DECLARE_TIME_2OP (mpc_sub) DECLARE_TIME_2OP (mpc_mul) DECLARE_TIME_2OP (mpc_div) DECLARE_TIME_1OP (mpc_sqrt) DECLARE_TIME_1OP (mpc_exp) DECLARE_TIME_1OP (mpc_log) DECLARE_TIME_2OP (mpc_pow) DECLARE_TIME_1OP (mpc_sin) DECLARE_TIME_1OP (mpc_cos) DECLARE_TIME_1OP (mpc_asin) DECLARE_TIME_1OP (mpc_acos) /* number of operations to score*/ #define NB_BENCH_OP 12 /* number of random numbers */ #define NB_RAND_CPLX 10000 /* list of functions to compute the score */ const struct benchfunc arrayfunc[NB_BENCH_OP] = { {"add", ADDR_TIME_NOP (mpc_add), ADDR_ACCURATE_TIME_NOP (mpc_add), egroup_arith, 2}, {"sub", ADDR_TIME_NOP (mpc_sub), ADDR_ACCURATE_TIME_NOP (mpc_sub), egroup_arith, 2}, {"mul", ADDR_TIME_NOP (mpc_mul), ADDR_ACCURATE_TIME_NOP (mpc_mul), egroup_arith, 2}, {"div", ADDR_TIME_NOP (mpc_div), ADDR_ACCURATE_TIME_NOP (mpc_div), egroup_arith, 2}, {"sqrt", ADDR_TIME_NOP (mpc_sqrt), ADDR_ACCURATE_TIME_NOP (mpc_sqrt), egroup_arith, 1}, {"exp", ADDR_TIME_NOP (mpc_exp), ADDR_ACCURATE_TIME_NOP (mpc_exp), egroup_special, 1}, {"log", ADDR_TIME_NOP (mpc_log), ADDR_ACCURATE_TIME_NOP (mpc_log), egroup_special, 1}, {"pow", ADDR_TIME_NOP (mpc_pow), ADDR_ACCURATE_TIME_NOP (mpc_pow), egroup_special, 2}, {"sin", ADDR_TIME_NOP (mpc_sin), ADDR_ACCURATE_TIME_NOP (mpc_sin), egroup_special, 1}, {"cos", ADDR_TIME_NOP (mpc_cos), ADDR_ACCURATE_TIME_NOP (mpc_cos), egroup_special, 1}, {"asin", ADDR_TIME_NOP (mpc_asin), ADDR_ACCURATE_TIME_NOP (mpc_asin), egroup_special, 1}, {"acos", ADDR_TIME_NOP (mpc_acos), ADDR_ACCURATE_TIME_NOP (mpc_acos), egroup_special, 1} }; /* the following arrays must have the same number of elements */ /* list of precisions to test for the first operand */ const int arrayprecision_op1[] = { 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 50, 100, 200, 350, 700, 1500, 3000, 6000, 10000, 1500, 3000, 5000, }; /* list of precisions to test for the second operand */ const int arrayprecision_op2[] = { 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 50, 100, 200, 350, 700, 1500, 3000, 6000, 10000, 3000, 6000, 10000 }; /* get the time in microseconds */ static unsigned long get_cputime (void) { #ifdef HAVE_GETRUSAGE struct rusage ru; getrusage (RUSAGE_SELF, &ru); return ru.ru_utime.tv_sec * 1000000 + ru.ru_utime.tv_usec +ru.ru_stime.tv_sec * 1000000 + ru.ru_stime.tv_usec; #else printf("\nthe function getrusage not available\n"); exit(1); return 0; #endif } /* initialize an array of n random complex numbers */ static mpc_t * bench_random_array (int n, mpfr_prec_t precision, gmp_randstate_t randstate) { int j; mpc_t *ptr; ptr = (mpc_t *) malloc (n * sizeof (mpc_t)); if (ptr == NULL) { printf ("Can't allocate memory for %d complex numbers\n", n); exit (1); return NULL; } for (j = 0; j < n; j++) { mpc_init2 (ptr[j], precision); mpc_urandom (ptr[j], randstate); } return ptr; } /* Print the positive number x with 3 significant digits or at most 3 digits after the komma, using 7 digits before the komma. */ static void sensible_print (double x) { if (x < 1) printf ("%11.3f", x); else if (x < 10) printf ("%10.2f", x); else if (x < 100) printf ("%9.1f", x); else { unsigned long int r; unsigned int e = 0; while (round (x) >= 1000) { x /= 10; e++; } r = (unsigned long int) round (x); while (e > 0) { r *= 10; e--; } printf ("%7lu", r); } } /* compute the score for the operation arrayfunc[op] */ static void compute_score (double *zscore, int op, gmp_randstate_t randstate) { mpc_t *xptr, *yptr, *zptr; int i, j; size_t k; unsigned long niter, ti; double t; double ops_per_time; int countprec = 0; *zscore = 1.0; i = op; for (k = 0; k < (int)sizeof (arrayprecision_op1) / sizeof (arrayprecision_op1[0]); k++, countprec++) { mpfr_prec_t precision1 = arrayprecision_op1[k]; mpfr_prec_t precision2 = arrayprecision_op2[k]; mpfr_prec_t precision3 = arrayprecision_op2[k]; /* allocate array of random numbers */ xptr = bench_random_array (NB_RAND_CPLX, precision1, randstate); yptr = bench_random_array (NB_RAND_CPLX, precision2, randstate); zptr = bench_random_array (NB_RAND_CPLX, precision3, randstate); /* compute the number of operations per seconds */ if (arrayfunc[i].noperands==2) printf ("op %4s, prec %5lux%5lu->%5lu:", arrayfunc[i].name, precision1, precision2, precision3); else printf ("op %4s, prec %5lu ->%5lu:", arrayfunc[i].name, precision1, precision3); fflush (stdout); t = arrayfunc[i].func_init (NB_RAND_CPLX, zptr, xptr, yptr); niter = 1 + (unsigned long) (1e6 / t); printf ("%9lu iter:", niter); fflush (stdout); /* ti expressed in microseconds */ niter = (niter + 9) / 10; ti = arrayfunc[i].func_accurate (niter, NB_RAND_CPLX, zptr, xptr, yptr, arrayfunc[i].noperands); ops_per_time = 1e5 * niter / (double) ti; /* use 0.1s */ sensible_print (ops_per_time); printf ("\n"); *zscore *= ops_per_time; /* free memory */ for (j = 0; j < NB_RAND_CPLX; j++) { mpc_clear (xptr[j]); mpc_clear (yptr[j]); mpc_clear (zptr[j]); } free (xptr); free (yptr); free (zptr); } *zscore = pow (*zscore, 1.0 / (double) countprec); } /* compute the score for all groups */ static void compute_groupscore (double groupscore[], int countop, double zscore[]) { int op; enum egroupfunc group; int countgroupop; for (group = (enum egroupfunc)0; group != egroup_last; group++) { groupscore[group] = 1.0; for (op = 0, countgroupop = 0; op < countop; op++) { if (group == arrayfunc[op].group) { groupscore[group] *= zscore[op]; countgroupop++; } } groupscore[group] = pow (groupscore[group], 1.0 / (double) countgroupop); } } /* compute the global score */ static void compute_globalscore (double *globalscore, int countop, double zscore[]) { int op; *globalscore = 1.0; for (op = 0; op < countop; op++) *globalscore *= zscore[op]; *globalscore = pow (*globalscore, 1.0 / (double) countop); } int main (void) { int i; double score[NB_BENCH_OP]; double globalscore, groupscore[egroup_last]; gmp_randstate_t randstate; gmp_randinit_default (randstate); for (i = 0; i < NB_BENCH_OP; i++) compute_score (&(score[i]), i, randstate); compute_globalscore (&globalscore, NB_BENCH_OP, score); compute_groupscore (groupscore, NB_BENCH_OP, score); printf ("\n=================================================================\n\n"); printf ("GMP: %s, MPFR: %s, MPC: %s\n", gmp_version, mpfr_get_version (), mpc_get_version ()); #ifdef __GMP_CC printf ("GMP compiler: %s\n", __GMP_CC); #endif #ifdef __GMP_CFLAGS printf ("GMP flags : %s\n", __GMP_CFLAGS); #endif printf ("\n"); for (i = 0; i < NB_BENCH_OP; i++) { printf (" score for %4s ", arrayfunc[i].name); sensible_print (score[i]); printf ("\n"); if (i == NB_BENCH_OP-1 || arrayfunc[i +1].group != arrayfunc[i].group) { enum egroupfunc g = arrayfunc[i].group; printf ("group score %s", groupname[g]); 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" >&6; } if ${lt_cv_nm_interface+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_nm_interface="BSD nm" echo "int some_variable = 0;" > conftest.$ac_ext (eval echo "\"\$as_me:$LINENO: $ac_compile\"" >&5) (eval "$ac_compile" 2>conftest.err) cat conftest.err >&5 (eval echo "\"\$as_me:$LINENO: $NM \\\"conftest.$ac_objext\\\"\"" >&5) (eval "$NM \"conftest.$ac_objext\"" 2>conftest.err > conftest.out) cat conftest.err >&5 (eval echo "\"\$as_me:$LINENO: output\"" >&5) cat conftest.out >&5 if $GREP 'External.*some_variable' conftest.out > /dev/null; then lt_cv_nm_interface="MS dumpbin" fi rm -f conftest* fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_nm_interface" >&5 $as_echo "$lt_cv_nm_interface" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether ln -s works" >&5 $as_echo_n "checking whether ln -s works... " >&6; } LN_S=$as_ln_s if test "$LN_S" = "ln -s"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 $as_echo "yes" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no, using $LN_S" >&5 $as_echo "no, using $LN_S" >&6; } fi # find the maximum length of command line arguments { $as_echo "$as_me:${as_lineno-$LINENO}: checking the maximum length of command line arguments" >&5 $as_echo_n "checking the maximum length of command line arguments... " >&6; } if ${lt_cv_sys_max_cmd_len+:} false; then : $as_echo_n "(cached) " >&6 else i=0 teststring=ABCD case $build_os in msdosdjgpp*) # On DJGPP, this test can blow up pretty badly due to problems in libc # (any single argument exceeding 2000 bytes causes a buffer overrun # during glob expansion). Even if it were fixed, the result of this # check would be larger than it should be. lt_cv_sys_max_cmd_len=12288; # 12K is about right ;; gnu*) # Under GNU Hurd, this test is not required because there is # no limit to the length of command line arguments. # Libtool will interpret -1 as no limit whatsoever lt_cv_sys_max_cmd_len=-1; ;; cygwin* | mingw* | cegcc*) # On Win9x/ME, this test blows up -- it succeeds, but takes # about 5 minutes as the teststring grows exponentially. # Worse, since 9x/ME are not pre-emptively multitasking, # you end up with a "frozen" computer, even though with patience # the test eventually succeeds (with a max line length of 256k). # Instead, let's just punt: use the minimum linelength reported by # all of the supported platforms: 8192 (on NT/2K/XP). lt_cv_sys_max_cmd_len=8192; ;; mint*) # On MiNT this can take a long time and run out of memory. lt_cv_sys_max_cmd_len=8192; ;; amigaos*) # On AmigaOS with pdksh, this test takes hours, literally. # So we just punt and use a minimum line length of 8192. lt_cv_sys_max_cmd_len=8192; ;; bitrig* | darwin* | dragonfly* | freebsd* | midnightbsd* | netbsd* | openbsd*) # This has been around since 386BSD, at least. Likely further. if test -x /sbin/sysctl; then lt_cv_sys_max_cmd_len=`/sbin/sysctl -n kern.argmax` elif test -x /usr/sbin/sysctl; then lt_cv_sys_max_cmd_len=`/usr/sbin/sysctl -n kern.argmax` else lt_cv_sys_max_cmd_len=65536 # usable default for all BSDs fi # And add a safety zone lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` ;; interix*) # We know the value 262144 and hardcode it with a safety zone (like BSD) lt_cv_sys_max_cmd_len=196608 ;; os2*) # The test takes a long time on OS/2. lt_cv_sys_max_cmd_len=8192 ;; osf*) # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not # nice to cause kernel panics so lets avoid the loop below. # First set a reasonable default. lt_cv_sys_max_cmd_len=16384 # if test -x /sbin/sysconfig; then case `/sbin/sysconfig -q proc exec_disable_arg_limit` in *1*) lt_cv_sys_max_cmd_len=-1 ;; esac fi ;; sco3.2v5*) lt_cv_sys_max_cmd_len=102400 ;; sysv5* | sco5v6* | sysv4.2uw2*) kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` if test -n "$kargmax"; then lt_cv_sys_max_cmd_len=`echo $kargmax | $SED 's/.*[ ]//'` else lt_cv_sys_max_cmd_len=32768 fi ;; *) lt_cv_sys_max_cmd_len=`(getconf ARG_MAX) 2> /dev/null` if test -n "$lt_cv_sys_max_cmd_len" && \ test undefined != "$lt_cv_sys_max_cmd_len"; then lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` else # Make teststring a little bigger before we do anything with it. # a 1K string should be a reasonable start. for i in 1 2 3 4 5 6 7 8; do teststring=$teststring$teststring done SHELL=${SHELL-${CONFIG_SHELL-/bin/sh}} # If test is not a shell built-in, we'll probably end up computing a # maximum length that is only half of the actual maximum length, but # we can't tell. while { test X`env echo "$teststring$teststring" 2>/dev/null` \ = "X$teststring$teststring"; } >/dev/null 2>&1 && test 17 != "$i" # 1/2 MB should be enough do i=`expr $i + 1` teststring=$teststring$teststring done # Only check the string length outside the loop. lt_cv_sys_max_cmd_len=`expr "X$teststring" : ".*" 2>&1` teststring= # Add a significant safety factor because C++ compilers can tack on # massive amounts of additional arguments before passing them to the # linker. It appears as though 1/2 is a usable value. lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 2` fi ;; esac fi if test -n "$lt_cv_sys_max_cmd_len"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_sys_max_cmd_len" >&5 $as_echo "$lt_cv_sys_max_cmd_len" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: none" >&5 $as_echo "none" >&6; } fi max_cmd_len=$lt_cv_sys_max_cmd_len : ${CP="cp -f"} : ${MV="mv -f"} : ${RM="rm -f"} if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then lt_unset=unset else lt_unset=false fi # test EBCDIC or ASCII case `echo X|tr X '\101'` in A) # ASCII based system # \n is not interpreted correctly by Solaris 8 /usr/ucb/tr lt_SP2NL='tr \040 \012' lt_NL2SP='tr \015\012 \040\040' ;; *) # EBCDIC based system lt_SP2NL='tr \100 \n' lt_NL2SP='tr \r\n \100\100' ;; esac { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to convert $build file names to $host format" >&5 $as_echo_n "checking how to convert $build file names to $host format... " >&6; } if ${lt_cv_to_host_file_cmd+:} false; then : $as_echo_n "(cached) " >&6 else case $host in *-*-mingw* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_host_file_cmd=func_convert_file_msys_to_w32 ;; *-*-cygwin* ) lt_cv_to_host_file_cmd=func_convert_file_cygwin_to_w32 ;; * ) # otherwise, assume *nix lt_cv_to_host_file_cmd=func_convert_file_nix_to_w32 ;; esac ;; *-*-cygwin* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_host_file_cmd=func_convert_file_msys_to_cygwin ;; *-*-cygwin* ) lt_cv_to_host_file_cmd=func_convert_file_noop ;; * ) # otherwise, assume *nix lt_cv_to_host_file_cmd=func_convert_file_nix_to_cygwin ;; esac ;; * ) # unhandled hosts (and "normal" native builds) lt_cv_to_host_file_cmd=func_convert_file_noop ;; esac fi to_host_file_cmd=$lt_cv_to_host_file_cmd { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_to_host_file_cmd" >&5 $as_echo "$lt_cv_to_host_file_cmd" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to convert $build file names to toolchain format" >&5 $as_echo_n "checking how to convert $build file names to toolchain format... " >&6; } if ${lt_cv_to_tool_file_cmd+:} false; then : $as_echo_n "(cached) " >&6 else #assume ordinary cross tools, or native build. lt_cv_to_tool_file_cmd=func_convert_file_noop case $host in *-*-mingw* ) case $build in *-*-mingw* ) # actually msys lt_cv_to_tool_file_cmd=func_convert_file_msys_to_w32 ;; esac ;; esac fi to_tool_file_cmd=$lt_cv_to_tool_file_cmd { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_to_tool_file_cmd" >&5 $as_echo "$lt_cv_to_tool_file_cmd" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $LD option to reload object files" >&5 $as_echo_n "checking for $LD option to reload object files... " >&6; } if ${lt_cv_ld_reload_flag+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_ld_reload_flag='-r' fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_reload_flag" >&5 $as_echo "$lt_cv_ld_reload_flag" >&6; } reload_flag=$lt_cv_ld_reload_flag case $reload_flag in "" | " "*) ;; *) reload_flag=" $reload_flag" ;; esac reload_cmds='$LD$reload_flag -o $output$reload_objs' case $host_os in cygwin* | mingw* | pw32* | cegcc*) if test yes != "$GCC"; then reload_cmds=false fi ;; darwin*) if test yes = "$GCC"; then reload_cmds='$LTCC $LTCFLAGS -nostdlib $wl-r -o $output$reload_objs' else reload_cmds='$LD$reload_flag -o $output$reload_objs' fi ;; esac if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}file", so it can be a program name with args. set dummy ${ac_tool_prefix}file; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_FILECMD+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$FILECMD"; then ac_cv_prog_FILECMD="$FILECMD" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_FILECMD="${ac_tool_prefix}file" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi FILECMD=$ac_cv_prog_FILECMD if test -n "$FILECMD"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $FILECMD" >&5 $as_echo "$FILECMD" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_FILECMD"; then ac_ct_FILECMD=$FILECMD # Extract the first word of "file", so it can be a program name with args. set dummy file; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_FILECMD+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_FILECMD"; then ac_cv_prog_ac_ct_FILECMD="$ac_ct_FILECMD" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_FILECMD="file" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_FILECMD=$ac_cv_prog_ac_ct_FILECMD if test -n "$ac_ct_FILECMD"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_FILECMD" >&5 $as_echo "$ac_ct_FILECMD" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_FILECMD" = x; then FILECMD=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac FILECMD=$ac_ct_FILECMD fi else FILECMD="$ac_cv_prog_FILECMD" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}objdump", so it can be a program name with args. set dummy ${ac_tool_prefix}objdump; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OBJDUMP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OBJDUMP"; then ac_cv_prog_OBJDUMP="$OBJDUMP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OBJDUMP=$ac_cv_prog_OBJDUMP if test -n "$OBJDUMP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OBJDUMP" >&5 $as_echo "$OBJDUMP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OBJDUMP"; then ac_ct_OBJDUMP=$OBJDUMP # Extract the first word of "objdump", so it can be a program name with args. set dummy objdump; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OBJDUMP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OBJDUMP"; then ac_cv_prog_ac_ct_OBJDUMP="$ac_ct_OBJDUMP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OBJDUMP="objdump" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OBJDUMP=$ac_cv_prog_ac_ct_OBJDUMP if test -n "$ac_ct_OBJDUMP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OBJDUMP" >&5 $as_echo "$ac_ct_OBJDUMP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OBJDUMP" = x; then OBJDUMP="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OBJDUMP=$ac_ct_OBJDUMP fi else OBJDUMP="$ac_cv_prog_OBJDUMP" fi test -z "$OBJDUMP" && OBJDUMP=objdump { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to recognize dependent libraries" >&5 $as_echo_n "checking how to recognize dependent libraries... " >&6; } if ${lt_cv_deplibs_check_method+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_file_magic_cmd='$MAGIC_CMD' lt_cv_file_magic_test_file= lt_cv_deplibs_check_method='unknown' # Need to set the preceding variable on all platforms that support # interlibrary dependencies. # 'none' -- dependencies not supported. # 'unknown' -- same as none, but documents that we really don't know. # 'pass_all' -- all dependencies passed with no checks. # 'test_compile' -- check by making test program. # 'file_magic [[regex]]' -- check by looking for files in library path # that responds to the $file_magic_cmd with a given extended regex. # If you have 'file' or equivalent on your system and you're not sure # whether 'pass_all' will *always* work, you probably want this one. case $host_os in aix[4-9]*) lt_cv_deplibs_check_method=pass_all ;; beos*) lt_cv_deplibs_check_method=pass_all ;; bsdi[45]*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' lt_cv_file_magic_cmd='$FILECMD -L' lt_cv_file_magic_test_file=/shlib/libc.so ;; cygwin*) # func_win32_libid is a shell function defined in ltmain.sh lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' ;; mingw* | pw32*) # Base MSYS/MinGW do not provide the 'file' command needed by # func_win32_libid shell function, so use a weaker test based on 'objdump', # unless we find 'file', for example because we are cross-compiling. if ( file / ) >/dev/null 2>&1; then lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' lt_cv_file_magic_cmd='func_win32_libid' else # Keep this pattern in sync with the one in func_win32_libid. lt_cv_deplibs_check_method='file_magic file format (pei*-i386(.*architecture: i386)?|pe-arm-wince|pe-x86-64)' lt_cv_file_magic_cmd='$OBJDUMP -f' fi ;; cegcc*) # use the weaker test based on 'objdump'. See mingw*. lt_cv_deplibs_check_method='file_magic file format pe-arm-.*little(.*architecture: arm)?' lt_cv_file_magic_cmd='$OBJDUMP -f' ;; darwin* | rhapsody*) lt_cv_deplibs_check_method=pass_all ;; freebsd* | dragonfly* | midnightbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then case $host_cpu in i*86 ) # Not sure whether the presence of OpenBSD here was a mistake. # Let's accept both of them until this is cleared up. lt_cv_deplibs_check_method='file_magic (FreeBSD|OpenBSD|DragonFly)/i[3-9]86 (compact )?demand paged shared library' lt_cv_file_magic_cmd=$FILECMD lt_cv_file_magic_test_file=`echo /usr/lib/libc.so.*` ;; esac else lt_cv_deplibs_check_method=pass_all fi ;; haiku*) lt_cv_deplibs_check_method=pass_all ;; hpux10.20* | hpux11*) lt_cv_file_magic_cmd=$FILECMD case $host_cpu in ia64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so ;; hppa*64*) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF[ -][0-9][0-9])(-bit)?( [LM]SB)? shared object( file)?[, -]* PA-RISC [0-9]\.[0-9]' lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl ;; *) lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9]\.[0-9]) shared library' lt_cv_file_magic_test_file=/usr/lib/libc.sl ;; esac ;; interix[3-9]*) # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' ;; irix5* | irix6* | nonstopux*) case $LD in *-32|*"-32 ") libmagic=32-bit;; *-n32|*"-n32 ") libmagic=N32;; *-64|*"-64 ") libmagic=64-bit;; *) libmagic=never-match;; esac lt_cv_deplibs_check_method=pass_all ;; # This must be glibc/ELF. linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) lt_cv_deplibs_check_method=pass_all ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' else lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|_pic\.a)$' fi ;; newos6*) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (executable|dynamic lib)' lt_cv_file_magic_cmd=$FILECMD lt_cv_file_magic_test_file=/usr/lib/libnls.so ;; *nto* | *qnx*) lt_cv_deplibs_check_method=pass_all ;; openbsd* | bitrig*) if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`"; then lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' else lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' fi ;; osf3* | osf4* | osf5*) lt_cv_deplibs_check_method=pass_all ;; rdos*) lt_cv_deplibs_check_method=pass_all ;; solaris*) lt_cv_deplibs_check_method=pass_all ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) lt_cv_deplibs_check_method=pass_all ;; sysv4 | sysv4.3*) case $host_vendor in motorola) lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib) M[0-9][0-9]* Version [0-9]' lt_cv_file_magic_test_file=`echo /usr/lib/libc.so*` ;; ncr) lt_cv_deplibs_check_method=pass_all ;; sequent) lt_cv_file_magic_cmd='/bin/file' lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [LM]SB (shared object|dynamic lib )' ;; sni) lt_cv_file_magic_cmd='/bin/file' lt_cv_deplibs_check_method="file_magic ELF [0-9][0-9]*-bit [LM]SB dynamic lib" lt_cv_file_magic_test_file=/lib/libc.so ;; siemens) lt_cv_deplibs_check_method=pass_all ;; pc) lt_cv_deplibs_check_method=pass_all ;; esac ;; tpf*) lt_cv_deplibs_check_method=pass_all ;; os2*) lt_cv_deplibs_check_method=pass_all ;; esac fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_deplibs_check_method" >&5 $as_echo "$lt_cv_deplibs_check_method" >&6; } file_magic_glob= want_nocaseglob=no if test "$build" = "$host"; then case $host_os in mingw* | pw32*) if ( shopt | grep nocaseglob ) >/dev/null 2>&1; then want_nocaseglob=yes else file_magic_glob=`echo aAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyYzZ | $SED -e "s/\(..\)/s\/[\1]\/[\1]\/g;/g"` fi ;; esac fi file_magic_cmd=$lt_cv_file_magic_cmd deplibs_check_method=$lt_cv_deplibs_check_method test -z "$deplibs_check_method" && deplibs_check_method=unknown if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}dlltool", so it can be a program name with args. set dummy ${ac_tool_prefix}dlltool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_DLLTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$DLLTOOL"; then ac_cv_prog_DLLTOOL="$DLLTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_DLLTOOL="${ac_tool_prefix}dlltool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi DLLTOOL=$ac_cv_prog_DLLTOOL if test -n "$DLLTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DLLTOOL" >&5 $as_echo "$DLLTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_DLLTOOL"; then ac_ct_DLLTOOL=$DLLTOOL # Extract the first word of "dlltool", so it can be a program name with args. set dummy dlltool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_DLLTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_DLLTOOL"; then ac_cv_prog_ac_ct_DLLTOOL="$ac_ct_DLLTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_DLLTOOL="dlltool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_DLLTOOL=$ac_cv_prog_ac_ct_DLLTOOL if test -n "$ac_ct_DLLTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DLLTOOL" >&5 $as_echo "$ac_ct_DLLTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_DLLTOOL" = x; then DLLTOOL="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac DLLTOOL=$ac_ct_DLLTOOL fi else DLLTOOL="$ac_cv_prog_DLLTOOL" fi test -z "$DLLTOOL" && DLLTOOL=dlltool { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to associate runtime and link libraries" >&5 $as_echo_n "checking how to associate runtime and link libraries... " >&6; } if ${lt_cv_sharedlib_from_linklib_cmd+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_sharedlib_from_linklib_cmd='unknown' case $host_os in cygwin* | mingw* | pw32* | cegcc*) # two different shell functions defined in ltmain.sh; # decide which one to use based on capabilities of $DLLTOOL case `$DLLTOOL --help 2>&1` in *--identify-strict*) lt_cv_sharedlib_from_linklib_cmd=func_cygming_dll_for_implib ;; *) lt_cv_sharedlib_from_linklib_cmd=func_cygming_dll_for_implib_fallback ;; esac ;; *) # fallback: assume linklib IS sharedlib lt_cv_sharedlib_from_linklib_cmd=$ECHO ;; esac fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_sharedlib_from_linklib_cmd" >&5 $as_echo "$lt_cv_sharedlib_from_linklib_cmd" >&6; } sharedlib_from_linklib_cmd=$lt_cv_sharedlib_from_linklib_cmd test -z "$sharedlib_from_linklib_cmd" && sharedlib_from_linklib_cmd=$ECHO if test -n "$ac_tool_prefix"; then for ac_prog in ar do # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. set dummy $ac_tool_prefix$ac_prog; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_AR+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$AR"; then ac_cv_prog_AR="$AR" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AR="$ac_tool_prefix$ac_prog" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi AR=$ac_cv_prog_AR if test -n "$AR"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 $as_echo "$AR" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi test -n "$AR" && break done fi if test -z "$AR"; then ac_ct_AR=$AR for ac_prog in ar do # Extract the first word of "$ac_prog", so it can be a program name with args. set dummy $ac_prog; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_AR+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AR"; then ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AR="$ac_prog" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_AR=$ac_cv_prog_ac_ct_AR if test -n "$ac_ct_AR"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 $as_echo "$ac_ct_AR" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi test -n "$ac_ct_AR" && break done if test "x$ac_ct_AR" = x; then AR="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac AR=$ac_ct_AR fi fi : ${AR=ar} # Use ARFLAGS variable as AR's operation code to sync the variable naming with # Automake. If both AR_FLAGS and ARFLAGS are specified, AR_FLAGS should have # higher priority because thats what people were doing historically (setting # ARFLAGS for automake and AR_FLAGS for libtool). FIXME: Make the AR_FLAGS # variable obsoleted/removed. test ${AR_FLAGS+y} || AR_FLAGS=${ARFLAGS-cr} lt_ar_flags=$AR_FLAGS # Make AR_FLAGS overridable by 'make ARFLAGS='. Don't try to run-time override # by AR_FLAGS because that was never working and AR_FLAGS is about to die. { $as_echo "$as_me:${as_lineno-$LINENO}: checking for archiver @FILE support" >&5 $as_echo_n "checking for archiver @FILE support... " >&6; } if ${lt_cv_ar_at_file+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_ar_at_file=no cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_compile "$LINENO"; then : echo conftest.$ac_objext > conftest.lst lt_ar_try='$AR $AR_FLAGS libconftest.a @conftest.lst >&5' { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$lt_ar_try\""; } >&5 (eval $lt_ar_try) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } if test 0 -eq "$ac_status"; then # Ensure the archiver fails upon bogus file names. rm -f conftest.$ac_objext libconftest.a { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$lt_ar_try\""; } >&5 (eval $lt_ar_try) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } if test 0 -ne "$ac_status"; then lt_cv_ar_at_file=@ fi fi rm -f conftest.* libconftest.a fi rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ar_at_file" >&5 $as_echo "$lt_cv_ar_at_file" >&6; } if test no = "$lt_cv_ar_at_file"; then archiver_list_spec= else archiver_list_spec=$lt_cv_ar_at_file fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args. set dummy ${ac_tool_prefix}strip; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_STRIP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$STRIP"; then ac_cv_prog_STRIP="$STRIP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_STRIP="${ac_tool_prefix}strip" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi STRIP=$ac_cv_prog_STRIP if test -n "$STRIP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $STRIP" >&5 $as_echo "$STRIP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_STRIP"; then ac_ct_STRIP=$STRIP # Extract the first word of "strip", so it can be a program name with args. set dummy strip; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_STRIP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_STRIP"; then ac_cv_prog_ac_ct_STRIP="$ac_ct_STRIP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_STRIP="strip" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_STRIP=$ac_cv_prog_ac_ct_STRIP if test -n "$ac_ct_STRIP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_STRIP" >&5 $as_echo "$ac_ct_STRIP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_STRIP" = x; then STRIP=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac STRIP=$ac_ct_STRIP fi else STRIP="$ac_cv_prog_STRIP" fi test -z "$STRIP" && STRIP=: if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. set dummy ${ac_tool_prefix}ranlib; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_RANLIB+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$RANLIB"; then ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi RANLIB=$ac_cv_prog_RANLIB if test -n "$RANLIB"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 $as_echo "$RANLIB" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_RANLIB"; then ac_ct_RANLIB=$RANLIB # Extract the first word of "ranlib", so it can be a program name with args. set dummy ranlib; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RANLIB"; then ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RANLIB="ranlib" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB if test -n "$ac_ct_RANLIB"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 $as_echo "$ac_ct_RANLIB" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_RANLIB" = x; then RANLIB=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac RANLIB=$ac_ct_RANLIB fi else RANLIB="$ac_cv_prog_RANLIB" fi test -z "$RANLIB" && RANLIB=: # Determine commands to create old-style static archives. old_archive_cmds='$AR $AR_FLAGS $oldlib$oldobjs' old_postinstall_cmds='chmod 644 $oldlib' old_postuninstall_cmds= if test -n "$RANLIB"; then case $host_os in bitrig* | openbsd*) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$tool_oldlib" ;; *) old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$tool_oldlib" ;; esac old_archive_cmds="$old_archive_cmds~\$RANLIB \$tool_oldlib" fi case $host_os in darwin*) lock_old_archive_extraction=yes ;; *) lock_old_archive_extraction=no ;; esac # If no C compiler was specified, use CC. LTCC=${LTCC-"$CC"} # If no C compiler flags were specified, use CFLAGS. LTCFLAGS=${LTCFLAGS-"$CFLAGS"} # Allow CC to be a program name with arguments. compiler=$CC # Check for command to grab the raw symbol name followed by C symbol from nm. { $as_echo "$as_me:${as_lineno-$LINENO}: checking command to parse $NM output from $compiler object" >&5 $as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } if ${lt_cv_sys_global_symbol_pipe+:} false; then : $as_echo_n "(cached) " >&6 else # These are sane defaults that work on at least a few old systems. # [They come from Ultrix. What could be older than Ultrix?!! ;)] # Character class describing NM global symbol codes. symcode='[BCDEGRST]' # Regexp to match symbols that can be accessed directly from C. sympat='\([_A-Za-z][_A-Za-z0-9]*\)' # Define system-specific variables. case $host_os in aix*) symcode='[BCDT]' ;; cygwin* | mingw* | pw32* | cegcc*) symcode='[ABCDGISTW]' ;; hpux*) if test ia64 = "$host_cpu"; then symcode='[ABCDEGRST]' fi ;; irix* | nonstopux*) symcode='[BCDEGRST]' ;; osf*) symcode='[BCDEGQRST]' ;; solaris*) symcode='[BDRT]' ;; sco3.2v5*) symcode='[DT]' ;; sysv4.2uw2*) symcode='[DT]' ;; sysv5* | sco5v6* | unixware* | OpenUNIX*) symcode='[ABDT]' ;; sysv4) symcode='[DFNSTU]' ;; esac # If we're using GNU nm, then use its standard symbol codes. case `$NM -V 2>&1` in *GNU* | *'with BFD'*) symcode='[ABCDGIRSTW]' ;; esac if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Gets list of data symbols to import. lt_cv_sys_global_symbol_to_import="$SED -n -e 's/^I .* \(.*\)$/\1/p'" # Adjust the below global symbol transforms to fixup imported variables. lt_cdecl_hook=" -e 's/^I .* \(.*\)$/extern __declspec(dllimport) char \1;/p'" lt_c_name_hook=" -e 's/^I .* \(.*\)$/ {\"\1\", (void *) 0},/p'" lt_c_name_lib_hook="\ -e 's/^I .* \(lib.*\)$/ {\"\1\", (void *) 0},/p'\ -e 's/^I .* \(.*\)$/ {\"lib\1\", (void *) 0},/p'" else # Disable hooks by default. lt_cv_sys_global_symbol_to_import= lt_cdecl_hook= lt_c_name_hook= lt_c_name_lib_hook= fi # Transform an extracted symbol line into a proper C declaration. # Some systems (esp. on ia64) link data and code symbols differently, # so use this general approach. lt_cv_sys_global_symbol_to_cdecl="$SED -n"\ $lt_cdecl_hook\ " -e 's/^T .* \(.*\)$/extern int \1();/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/extern char \1;/p'" # Transform an extracted symbol line into symbol name and symbol address lt_cv_sys_global_symbol_to_c_name_address="$SED -n"\ $lt_c_name_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/p'" # Transform an extracted symbol line into symbol name with lib prefix and # symbol address. lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="$SED -n"\ $lt_c_name_lib_hook\ " -e 's/^: \(.*\) .*$/ {\"\1\", (void *) 0},/p'"\ " -e 's/^$symcode$symcode* .* \(lib.*\)$/ {\"\1\", (void *) \&\1},/p'"\ " -e 's/^$symcode$symcode* .* \(.*\)$/ {\"lib\1\", (void *) \&\1},/p'" # Handle CRLF in mingw tool chain opt_cr= case $build_os in mingw*) opt_cr=`$ECHO 'x\{0,1\}' | tr x '\015'` # option cr in regexp ;; esac # Try without a prefix underscore, then with it. for ac_symprfx in "" "_"; do # Transform symcode, sympat, and symprfx into a raw symbol and a C symbol. symxfrm="\\1 $ac_symprfx\\2 \\2" # Write the raw and C identifiers. if test "$lt_cv_nm_interface" = "MS dumpbin"; then # Fake it for dumpbin and say T for any non-static function, # D for any global variable and I for any imported variable. # Also find C++ and __fastcall symbols from MSVC++ or ICC, # which start with @ or ?. lt_cv_sys_global_symbol_pipe="$AWK '"\ " {last_section=section; section=\$ 3};"\ " /^COFF SYMBOL TABLE/{for(i in hide) delete hide[i]};"\ " /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ " /^ *Symbol name *: /{split(\$ 0,sn,\":\"); si=substr(sn[2],2)};"\ " /^ *Type *: code/{print \"T\",si,substr(si,length(prfx))};"\ " /^ *Type *: data/{print \"I\",si,substr(si,length(prfx))};"\ " \$ 0!~/External *\|/{next};"\ " / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ " {if(hide[section]) next};"\ " {f=\"D\"}; \$ 0~/\(\).*\|/{f=\"T\"};"\ " {split(\$ 0,a,/\||\r/); split(a[2],s)};"\ " s[1]~/^[@?]/{print f,s[1],s[1]; next};"\ " s[1]~prfx {split(s[1],t,\"@\"); print f,t[1],substr(t[1],length(prfx))}"\ " ' prfx=^$ac_symprfx" else lt_cv_sys_global_symbol_pipe="$SED -n -e 's/^.*[ ]\($symcode$symcode*\)[ ][ ]*$ac_symprfx$sympat$opt_cr$/$symxfrm/p'" fi lt_cv_sys_global_symbol_pipe="$lt_cv_sys_global_symbol_pipe | $SED '/ __gnu_lto/d'" # Check to see that the pipe works correctly. pipe_works=no rm -f conftest* cat > conftest.$ac_ext <<_LT_EOF #ifdef __cplusplus extern "C" { #endif char nm_test_var; void nm_test_func(void); void nm_test_func(void){} #ifdef __cplusplus } #endif int main(){nm_test_var='a';nm_test_func();return(0);} _LT_EOF if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then # Now try to grab the symbols. nlist=conftest.nm if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist\""; } >&5 (eval $NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } && test -s "$nlist"; then # Try sorting and uniquifying the output. if sort "$nlist" | uniq > "$nlist"T; then mv -f "$nlist"T "$nlist" else rm -f "$nlist"T fi # Make sure that we snagged all the symbols we need. if $GREP ' nm_test_var$' "$nlist" >/dev/null; then if $GREP ' nm_test_func$' "$nlist" >/dev/null; then cat <<_LT_EOF > conftest.$ac_ext /* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ #if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE /* DATA imports from DLLs on WIN32 can't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */ # define LT_DLSYM_CONST #elif defined __osf__ /* This system does not cope well with relocations in const data. */ # define LT_DLSYM_CONST #else # define LT_DLSYM_CONST const #endif #ifdef __cplusplus extern "C" { #endif _LT_EOF # Now generate the symbol file. eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' cat <<_LT_EOF >> conftest.$ac_ext /* The mapping between symbol names and symbols. */ LT_DLSYM_CONST struct { const char *name; void *address; } lt__PROGRAM__LTX_preloaded_symbols[] = { { "@PROGRAM@", (void *) 0 }, _LT_EOF $SED "s/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext cat <<\_LT_EOF >> conftest.$ac_ext {0, (void *) 0} }; /* This works around a problem in FreeBSD linker */ #ifdef FREEBSD_WORKAROUND static const void *lt_preloaded_setup() { return lt__PROGRAM__LTX_preloaded_symbols; } #endif #ifdef __cplusplus } #endif _LT_EOF # Now try linking the two files. mv conftest.$ac_objext conftstm.$ac_objext lt_globsym_save_LIBS=$LIBS lt_globsym_save_CFLAGS=$CFLAGS LIBS=conftstm.$ac_objext CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_link\""; } >&5 (eval $ac_link) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; } && test -s conftest$ac_exeext; then pipe_works=yes fi LIBS=$lt_globsym_save_LIBS CFLAGS=$lt_globsym_save_CFLAGS else echo "cannot find nm_test_func in $nlist" >&5 fi else echo "cannot find nm_test_var in $nlist" >&5 fi else echo "cannot run $lt_cv_sys_global_symbol_pipe" >&5 fi else echo "$progname: failed program was:" >&5 cat conftest.$ac_ext >&5 fi rm -rf conftest* conftst* # Do not use the global_symbol_pipe unless it works. if test yes = "$pipe_works"; then break else lt_cv_sys_global_symbol_pipe= fi done fi if test -z "$lt_cv_sys_global_symbol_pipe"; then lt_cv_sys_global_symbol_to_cdecl= fi if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: failed" >&5 $as_echo "failed" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: ok" >&5 $as_echo "ok" >&6; } fi # Response file support. if test "$lt_cv_nm_interface" = "MS dumpbin"; then nm_file_list_spec='@' elif $NM --help 2>/dev/null | grep '[@]FILE' >/dev/null; then nm_file_list_spec='@' fi { $as_echo "$as_me:${as_lineno-$LINENO}: checking for sysroot" >&5 $as_echo_n "checking for sysroot... " >&6; } # Check whether --with-sysroot was given. if test "${with_sysroot+set}" = set; then : withval=$with_sysroot; else with_sysroot=no fi lt_sysroot= case $with_sysroot in #( yes) if test yes = "$GCC"; then lt_sysroot=`$CC --print-sysroot 2>/dev/null` fi ;; #( /*) lt_sysroot=`echo "$with_sysroot" | $SED -e "$sed_quote_subst"` ;; #( no|'') ;; #( *) { $as_echo "$as_me:${as_lineno-$LINENO}: result: $with_sysroot" >&5 $as_echo "$with_sysroot" >&6; } as_fn_error $? "The sysroot must be an absolute path." "$LINENO" 5 ;; esac { $as_echo "$as_me:${as_lineno-$LINENO}: result: ${lt_sysroot:-no}" >&5 $as_echo "${lt_sysroot:-no}" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking for a working dd" >&5 $as_echo_n "checking for a working dd... " >&6; } if ${ac_cv_path_lt_DD+:} false; then : $as_echo_n "(cached) " >&6 else printf 0123456789abcdef0123456789abcdef >conftest.i cat conftest.i conftest.i >conftest2.i : ${lt_DD:=$DD} if test -z "$lt_DD"; then ac_path_lt_DD_found=false # Loop through the user's path and test for each of PROGNAME-LIST as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_prog in dd; do for ac_exec_ext in '' $ac_executable_extensions; do ac_path_lt_DD="$as_dir/$ac_prog$ac_exec_ext" as_fn_executable_p "$ac_path_lt_DD" || continue if "$ac_path_lt_DD" bs=32 count=1 conftest.out 2>/dev/null; then cmp -s conftest.i conftest.out \ && ac_cv_path_lt_DD="$ac_path_lt_DD" ac_path_lt_DD_found=: fi $ac_path_lt_DD_found && break 3 done done done IFS=$as_save_IFS if test -z "$ac_cv_path_lt_DD"; then : fi else ac_cv_path_lt_DD=$lt_DD fi rm -f conftest.i conftest2.i conftest.out fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_lt_DD" >&5 $as_echo "$ac_cv_path_lt_DD" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to truncate binary pipes" >&5 $as_echo_n "checking how to truncate binary pipes... " >&6; } if ${lt_cv_truncate_bin+:} false; then : $as_echo_n "(cached) " >&6 else printf 0123456789abcdef0123456789abcdef >conftest.i cat conftest.i conftest.i >conftest2.i lt_cv_truncate_bin= if "$ac_cv_path_lt_DD" bs=32 count=1 conftest.out 2>/dev/null; then cmp -s conftest.i conftest.out \ && lt_cv_truncate_bin="$ac_cv_path_lt_DD bs=4096 count=1" fi rm -f conftest.i conftest2.i conftest.out test -z "$lt_cv_truncate_bin" && lt_cv_truncate_bin="$SED -e 4q" fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_truncate_bin" >&5 $as_echo "$lt_cv_truncate_bin" >&6; } # Calculate cc_basename. Skip known compiler wrappers and cross-prefix. func_cc_basename () { for cc_temp in $*""; do case $cc_temp in compile | *[\\/]compile | ccache | *[\\/]ccache ) ;; distcc | *[\\/]distcc | purify | *[\\/]purify ) ;; \-*) ;; *) break;; esac done func_cc_basename_result=`$ECHO "$cc_temp" | $SED "s%.*/%%; s%^$host_alias-%%"` } # Check whether --enable-libtool-lock was given. if test "${enable_libtool_lock+set}" = set; then : enableval=$enable_libtool_lock; fi test no = "$enable_libtool_lock" || enable_libtool_lock=yes # Some flags need to be propagated to the compiler or linker for good # libtool support. case $host in ia64-*-hpux*) # Find out what ABI is being produced by ac_compile, and set mode # options accordingly. echo 'int i;' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then case `$FILECMD conftest.$ac_objext` in *ELF-32*) HPUX_IA64_MODE=32 ;; *ELF-64*) HPUX_IA64_MODE=64 ;; esac fi rm -rf conftest* ;; *-*-irix6*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. echo '#line '$LINENO' "configure"' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then if test yes = "$lt_cv_prog_gnu_ld"; then case `$FILECMD conftest.$ac_objext` in *32-bit*) LD="${LD-ld} -melf32bsmip" ;; *N32*) LD="${LD-ld} -melf32bmipn32" ;; *64-bit*) LD="${LD-ld} -melf64bmip" ;; esac else case `$FILECMD conftest.$ac_objext` in *32-bit*) LD="${LD-ld} -32" ;; *N32*) LD="${LD-ld} -n32" ;; *64-bit*) LD="${LD-ld} -64" ;; esac fi fi rm -rf conftest* ;; mips64*-*linux*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. echo '#line '$LINENO' "configure"' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then emul=elf case `$FILECMD conftest.$ac_objext` in *32-bit*) emul="${emul}32" ;; *64-bit*) emul="${emul}64" ;; esac case `$FILECMD conftest.$ac_objext` in *MSB*) emul="${emul}btsmip" ;; *LSB*) emul="${emul}ltsmip" ;; esac case `$FILECMD conftest.$ac_objext` in *N32*) emul="${emul}n32" ;; esac LD="${LD-ld} -m $emul" fi rm -rf conftest* ;; x86_64-*kfreebsd*-gnu|x86_64-*linux*|powerpc*-*linux*| \ s390*-*linux*|s390*-*tpf*|sparc*-*linux*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. Note that the listed cases only cover the # situations where additional linker options are needed (such as when # doing 32-bit compilation for a host where ld defaults to 64-bit, or # vice versa); the common cases where no linker options are needed do # not appear in the list. echo 'int i;' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then case `$FILECMD conftest.o` in *32-bit*) case $host in x86_64-*kfreebsd*-gnu) LD="${LD-ld} -m elf_i386_fbsd" ;; x86_64-*linux*) case `$FILECMD conftest.o` in *x86-64*) LD="${LD-ld} -m elf32_x86_64" ;; *) LD="${LD-ld} -m elf_i386" ;; esac ;; powerpc64le-*linux*) LD="${LD-ld} -m elf32lppclinux" ;; powerpc64-*linux*) LD="${LD-ld} -m elf32ppclinux" ;; s390x-*linux*) LD="${LD-ld} -m elf_s390" ;; sparc64-*linux*) LD="${LD-ld} -m elf32_sparc" ;; esac ;; *64-bit*) case $host in x86_64-*kfreebsd*-gnu) LD="${LD-ld} -m elf_x86_64_fbsd" ;; x86_64-*linux*) LD="${LD-ld} -m elf_x86_64" ;; powerpcle-*linux*) LD="${LD-ld} -m elf64lppc" ;; powerpc-*linux*) LD="${LD-ld} -m elf64ppc" ;; s390*-*linux*|s390*-*tpf*) LD="${LD-ld} -m elf64_s390" ;; sparc*-*linux*) LD="${LD-ld} -m elf64_sparc" ;; esac ;; esac fi rm -rf conftest* ;; *-*-sco3.2v5*) # On SCO OpenServer 5, we need -belf to get full-featured binaries. SAVE_CFLAGS=$CFLAGS CFLAGS="$CFLAGS -belf" { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler needs -belf" >&5 $as_echo_n "checking whether the C compiler needs -belf... " >&6; } if ${lt_cv_cc_needs_belf+:} false; then : $as_echo_n "(cached) " >&6 else ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_cv_cc_needs_belf=yes else lt_cv_cc_needs_belf=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_cc_needs_belf" >&5 $as_echo "$lt_cv_cc_needs_belf" >&6; } if test yes != "$lt_cv_cc_needs_belf"; then # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf CFLAGS=$SAVE_CFLAGS fi ;; *-*solaris*) # Find out what ABI is being produced by ac_compile, and set linker # options accordingly. echo 'int i;' > conftest.$ac_ext if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 (eval $ac_compile) 2>&5 ac_status=$? $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 test $ac_status = 0; }; then case `$FILECMD conftest.o` in *64-bit*) case $lt_cv_prog_gnu_ld in yes*) case $host in i?86-*-solaris*|x86_64-*-solaris*) LD="${LD-ld} -m elf_x86_64" ;; sparc*-*-solaris*) LD="${LD-ld} -m elf64_sparc" ;; esac # GNU ld 2.21 introduced _sol2 emulations. Use them if available. if ${LD-ld} -V | grep _sol2 >/dev/null 2>&1; then LD=${LD-ld}_sol2 fi ;; *) if ${LD-ld} -64 -r -o conftest2.o conftest.o >/dev/null 2>&1; then LD="${LD-ld} -64" fi ;; esac ;; esac fi rm -rf conftest* ;; esac need_locks=$enable_libtool_lock if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}mt", so it can be a program name with args. set dummy ${ac_tool_prefix}mt; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_MANIFEST_TOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$MANIFEST_TOOL"; then ac_cv_prog_MANIFEST_TOOL="$MANIFEST_TOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_MANIFEST_TOOL="${ac_tool_prefix}mt" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi MANIFEST_TOOL=$ac_cv_prog_MANIFEST_TOOL if test -n "$MANIFEST_TOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MANIFEST_TOOL" >&5 $as_echo "$MANIFEST_TOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_MANIFEST_TOOL"; then ac_ct_MANIFEST_TOOL=$MANIFEST_TOOL # Extract the first word of "mt", so it can be a program name with args. set dummy mt; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_MANIFEST_TOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_MANIFEST_TOOL"; then ac_cv_prog_ac_ct_MANIFEST_TOOL="$ac_ct_MANIFEST_TOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_MANIFEST_TOOL="mt" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_MANIFEST_TOOL=$ac_cv_prog_ac_ct_MANIFEST_TOOL if test -n "$ac_ct_MANIFEST_TOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_MANIFEST_TOOL" >&5 $as_echo "$ac_ct_MANIFEST_TOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_MANIFEST_TOOL" = x; then MANIFEST_TOOL=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac MANIFEST_TOOL=$ac_ct_MANIFEST_TOOL fi else MANIFEST_TOOL="$ac_cv_prog_MANIFEST_TOOL" fi test -z "$MANIFEST_TOOL" && MANIFEST_TOOL=mt { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $MANIFEST_TOOL is a manifest tool" >&5 $as_echo_n "checking if $MANIFEST_TOOL is a manifest tool... " >&6; } if ${lt_cv_path_mainfest_tool+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_path_mainfest_tool=no echo "$as_me:$LINENO: $MANIFEST_TOOL '-?'" >&5 $MANIFEST_TOOL '-?' 2>conftest.err > conftest.out cat conftest.err >&5 if $GREP 'Manifest Tool' conftest.out > /dev/null; then lt_cv_path_mainfest_tool=yes fi rm -f conftest* fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_path_mainfest_tool" >&5 $as_echo "$lt_cv_path_mainfest_tool" >&6; } if test yes != "$lt_cv_path_mainfest_tool"; then MANIFEST_TOOL=: fi case $host_os in rhapsody* | darwin*) if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}dsymutil", so it can be a program name with args. set dummy ${ac_tool_prefix}dsymutil; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_DSYMUTIL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$DSYMUTIL"; then ac_cv_prog_DSYMUTIL="$DSYMUTIL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi DSYMUTIL=$ac_cv_prog_DSYMUTIL if test -n "$DSYMUTIL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DSYMUTIL" >&5 $as_echo "$DSYMUTIL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_DSYMUTIL"; then ac_ct_DSYMUTIL=$DSYMUTIL # Extract the first word of "dsymutil", so it can be a program name with args. set dummy dsymutil; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_DSYMUTIL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_DSYMUTIL"; then ac_cv_prog_ac_ct_DSYMUTIL="$ac_ct_DSYMUTIL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_DSYMUTIL=$ac_cv_prog_ac_ct_DSYMUTIL if test -n "$ac_ct_DSYMUTIL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DSYMUTIL" >&5 $as_echo "$ac_ct_DSYMUTIL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_DSYMUTIL" = x; then DSYMUTIL=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac DSYMUTIL=$ac_ct_DSYMUTIL fi else DSYMUTIL="$ac_cv_prog_DSYMUTIL" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}nmedit", so it can be a program name with args. set dummy ${ac_tool_prefix}nmedit; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_NMEDIT+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$NMEDIT"; then ac_cv_prog_NMEDIT="$NMEDIT" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi NMEDIT=$ac_cv_prog_NMEDIT if test -n "$NMEDIT"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $NMEDIT" >&5 $as_echo "$NMEDIT" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_NMEDIT"; then ac_ct_NMEDIT=$NMEDIT # Extract the first word of "nmedit", so it can be a program name with args. set dummy nmedit; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_NMEDIT+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_NMEDIT"; then ac_cv_prog_ac_ct_NMEDIT="$ac_ct_NMEDIT" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_NMEDIT="nmedit" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_NMEDIT=$ac_cv_prog_ac_ct_NMEDIT if test -n "$ac_ct_NMEDIT"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_NMEDIT" >&5 $as_echo "$ac_ct_NMEDIT" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_NMEDIT" = x; then NMEDIT=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac NMEDIT=$ac_ct_NMEDIT fi else NMEDIT="$ac_cv_prog_NMEDIT" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}lipo", so it can be a program name with args. set dummy ${ac_tool_prefix}lipo; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_LIPO+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$LIPO"; then ac_cv_prog_LIPO="$LIPO" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_LIPO="${ac_tool_prefix}lipo" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi LIPO=$ac_cv_prog_LIPO if test -n "$LIPO"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $LIPO" >&5 $as_echo "$LIPO" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_LIPO"; then ac_ct_LIPO=$LIPO # Extract the first word of "lipo", so it can be a program name with args. set dummy lipo; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_LIPO+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_LIPO"; then ac_cv_prog_ac_ct_LIPO="$ac_ct_LIPO" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_LIPO="lipo" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_LIPO=$ac_cv_prog_ac_ct_LIPO if test -n "$ac_ct_LIPO"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_LIPO" >&5 $as_echo "$ac_ct_LIPO" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_LIPO" = x; then LIPO=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac LIPO=$ac_ct_LIPO fi else LIPO="$ac_cv_prog_LIPO" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}otool", so it can be a program name with args. set dummy ${ac_tool_prefix}otool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OTOOL"; then ac_cv_prog_OTOOL="$OTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OTOOL="${ac_tool_prefix}otool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OTOOL=$ac_cv_prog_OTOOL if test -n "$OTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OTOOL" >&5 $as_echo "$OTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OTOOL"; then ac_ct_OTOOL=$OTOOL # Extract the first word of "otool", so it can be a program name with args. set dummy otool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OTOOL"; then ac_cv_prog_ac_ct_OTOOL="$ac_ct_OTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OTOOL="otool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OTOOL=$ac_cv_prog_ac_ct_OTOOL if test -n "$ac_ct_OTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OTOOL" >&5 $as_echo "$ac_ct_OTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OTOOL" = x; then OTOOL=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OTOOL=$ac_ct_OTOOL fi else OTOOL="$ac_cv_prog_OTOOL" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}otool64", so it can be a program name with args. set dummy ${ac_tool_prefix}otool64; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OTOOL64+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OTOOL64"; then ac_cv_prog_OTOOL64="$OTOOL64" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OTOOL64=$ac_cv_prog_OTOOL64 if test -n "$OTOOL64"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OTOOL64" >&5 $as_echo "$OTOOL64" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OTOOL64"; then ac_ct_OTOOL64=$OTOOL64 # Extract the first word of "otool64", so it can be a program name with args. set dummy otool64; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OTOOL64+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OTOOL64"; then ac_cv_prog_ac_ct_OTOOL64="$ac_ct_OTOOL64" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OTOOL64="otool64" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OTOOL64=$ac_cv_prog_ac_ct_OTOOL64 if test -n "$ac_ct_OTOOL64"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OTOOL64" >&5 $as_echo "$ac_ct_OTOOL64" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OTOOL64" = x; then OTOOL64=":" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OTOOL64=$ac_ct_OTOOL64 fi else OTOOL64="$ac_cv_prog_OTOOL64" fi { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -single_module linker flag" >&5 $as_echo_n "checking for -single_module linker flag... " >&6; } if ${lt_cv_apple_cc_single_mod+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_apple_cc_single_mod=no if test -z "$LT_MULTI_MODULE"; then # By default we will add the -single_module flag. You can override # by either setting the environment variable LT_MULTI_MODULE # non-empty at configure time, or by adding -multi_module to the # link flags. rm -rf libconftest.dylib* echo "int foo(void){return 1;}" > conftest.c echo "$LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c" >&5 $LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ -dynamiclib -Wl,-single_module conftest.c 2>conftest.err _lt_result=$? # If there is a non-empty error log, and "single_module" # appears in it, assume the flag caused a linker warning if test -s conftest.err && $GREP single_module conftest.err; then cat conftest.err >&5 # Otherwise, if the output was created with a 0 exit code from # the compiler, it worked. elif test -f libconftest.dylib && test 0 = "$_lt_result"; then lt_cv_apple_cc_single_mod=yes else cat conftest.err >&5 fi rm -rf libconftest.dylib* rm -f conftest.* fi fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_apple_cc_single_mod" >&5 $as_echo "$lt_cv_apple_cc_single_mod" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -exported_symbols_list linker flag" >&5 $as_echo_n "checking for -exported_symbols_list linker flag... " >&6; } if ${lt_cv_ld_exported_symbols_list+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_ld_exported_symbols_list=no save_LDFLAGS=$LDFLAGS echo "_main" > conftest.sym LDFLAGS="$LDFLAGS -Wl,-exported_symbols_list,conftest.sym" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_cv_ld_exported_symbols_list=yes else lt_cv_ld_exported_symbols_list=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LDFLAGS=$save_LDFLAGS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_exported_symbols_list" >&5 $as_echo "$lt_cv_ld_exported_symbols_list" >&6; } { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -force_load linker flag" >&5 $as_echo_n "checking for -force_load linker flag... " >&6; } if ${lt_cv_ld_force_load+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_ld_force_load=no cat > conftest.c << _LT_EOF int forced_loaded() { return 2;} _LT_EOF echo "$LTCC $LTCFLAGS -c -o conftest.o conftest.c" >&5 $LTCC $LTCFLAGS -c -o conftest.o conftest.c 2>&5 echo "$AR $AR_FLAGS libconftest.a conftest.o" >&5 $AR $AR_FLAGS libconftest.a conftest.o 2>&5 echo "$RANLIB libconftest.a" >&5 $RANLIB libconftest.a 2>&5 cat > conftest.c << _LT_EOF int main() { return 0;} _LT_EOF echo "$LTCC $LTCFLAGS $LDFLAGS -o conftest conftest.c -Wl,-force_load,./libconftest.a" >&5 $LTCC $LTCFLAGS $LDFLAGS -o conftest conftest.c -Wl,-force_load,./libconftest.a 2>conftest.err _lt_result=$? if test -s conftest.err && $GREP force_load conftest.err; then cat conftest.err >&5 elif test -f conftest && test 0 = "$_lt_result" && $GREP forced_load conftest >/dev/null 2>&1; then lt_cv_ld_force_load=yes else cat conftest.err >&5 fi rm -f conftest.err libconftest.a conftest conftest.c rm -rf conftest.dSYM fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_force_load" >&5 $as_echo "$lt_cv_ld_force_load" >&6; } case $host_os in rhapsody* | darwin1.[012]) _lt_dar_allow_undefined='$wl-undefined ${wl}suppress' ;; darwin1.*) _lt_dar_allow_undefined='$wl-flat_namespace $wl-undefined ${wl}suppress' ;; darwin*) case $MACOSX_DEPLOYMENT_TARGET,$host in 10.[012],*|,*powerpc*-darwin[5-8]*) _lt_dar_allow_undefined='$wl-flat_namespace $wl-undefined ${wl}suppress' ;; *) _lt_dar_allow_undefined='$wl-undefined ${wl}dynamic_lookup' ;; esac ;; esac if test yes = "$lt_cv_apple_cc_single_mod"; then _lt_dar_single_mod='$single_module' fi if test yes = "$lt_cv_ld_exported_symbols_list"; then _lt_dar_export_syms=' $wl-exported_symbols_list,$output_objdir/$libname-symbols.expsym' else _lt_dar_export_syms='~$NMEDIT -s $output_objdir/$libname-symbols.expsym $lib' fi if test : != "$DSYMUTIL" && test no = "$lt_cv_ld_force_load"; then _lt_dsymutil='~$DSYMUTIL $lib || :' else _lt_dsymutil= fi ;; esac # func_munge_path_list VARIABLE PATH # ----------------------------------- # VARIABLE is name of variable containing _space_ separated list of # directories to be munged by the contents of PATH, which is string # having a format: # "DIR[:DIR]:" # string "DIR[ DIR]" will be prepended to VARIABLE # ":DIR[:DIR]" # string "DIR[ DIR]" will be appended to VARIABLE # "DIRP[:DIRP]::[DIRA:]DIRA" # string "DIRP[ DIRP]" will be prepended to VARIABLE and string # "DIRA[ DIRA]" will be appended to VARIABLE # "DIR[:DIR]" # VARIABLE will be replaced by "DIR[ DIR]" func_munge_path_list () { case x$2 in x) ;; *:) eval $1=\"`$ECHO $2 | $SED 's/:/ /g'` \$$1\" ;; x:*) eval $1=\"\$$1 `$ECHO $2 | $SED 's/:/ /g'`\" ;; *::*) eval $1=\"\$$1\ `$ECHO $2 | $SED -e 's/.*:://' -e 's/:/ /g'`\" eval $1=\"`$ECHO $2 | $SED -e 's/::.*//' -e 's/:/ /g'`\ \$$1\" ;; *) eval $1=\"`$ECHO $2 | $SED 's/:/ /g'`\" ;; esac } ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 $as_echo_n "checking how to run the C preprocessor... " >&6; } # On Suns, sometimes $CPP names a directory. if test -n "$CPP" && test -d "$CPP"; then CPP= fi if test -z "$CPP"; then if ${ac_cv_prog_CPP+:} false; then : $as_echo_n "(cached) " >&6 else # Double quotes because CPP needs to be expanded for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" do ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do # Use a header file that comes with gcc, so configuring glibc # with a fresh cross-compiler works. # Prefer to if __STDC__ is defined, since # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include #else # include #endif Syntax error _ACEOF if ac_fn_c_try_cpp "$LINENO"; then : else # Broken: fails on valid input. continue fi rm -f conftest.err conftest.i conftest.$ac_ext # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else # Passes both tests. ac_preproc_ok=: break fi rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. rm -f conftest.i conftest.err conftest.$ac_ext if $ac_preproc_ok; then : break fi done ac_cv_prog_CPP=$CPP fi CPP=$ac_cv_prog_CPP else ac_cv_prog_CPP=$CPP fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 $as_echo "$CPP" >&6; } ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do # Use a header file that comes with gcc, so configuring glibc # with a fresh cross-compiler works. # Prefer to if __STDC__ is defined, since # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include #else # include #endif Syntax error _ACEOF if ac_fn_c_try_cpp "$LINENO"; then : else # Broken: fails on valid input. continue fi rm -f conftest.err conftest.i conftest.$ac_ext # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else # Passes both tests. ac_preproc_ok=: break fi rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. rm -f conftest.i conftest.err conftest.$ac_ext if $ac_preproc_ok; then : else { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 $as_echo "$as_me: error: in \`$ac_pwd':" >&2;} as_fn_error $? "C preprocessor \"$CPP\" fails sanity check See \`config.log' for more details" "$LINENO" 5; } fi ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu { $as_echo "$as_me:${as_lineno-$LINENO}: checking for ANSI C header files" >&5 $as_echo_n "checking for ANSI C header files... " >&6; } if ${ac_cv_header_stdc+:} false; then : $as_echo_n "(cached) " >&6 else cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include #include #include int main () { ; return 0; } _ACEOF if ac_fn_c_try_compile "$LINENO"; then : ac_cv_header_stdc=yes else ac_cv_header_stdc=no fi rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test $ac_cv_header_stdc = yes; then # SunOS 4.x string.h does not declare mem*, contrary to ANSI. cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | $EGREP "memchr" >/dev/null 2>&1; then : else ac_cv_header_stdc=no fi rm -f conftest* fi if test $ac_cv_header_stdc = yes; then # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | $EGREP "free" >/dev/null 2>&1; then : else ac_cv_header_stdc=no fi rm -f conftest* fi if test $ac_cv_header_stdc = yes; then # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. if test "$cross_compiling" = yes; then : : else cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include #if ((' ' & 0x0FF) == 0x020) # define ISLOWER(c) ('a' <= (c) && (c) <= 'z') # define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) #else # define ISLOWER(c) \ (('a' <= (c) && (c) <= 'i') \ || ('j' <= (c) && (c) <= 'r') \ || ('s' <= (c) && (c) <= 'z')) # define TOUPPER(c) (ISLOWER(c) ? ((c) | 0x40) : (c)) #endif #define XOR(e, f) (((e) && !(f)) || (!(e) && (f))) int main () { int i; for (i = 0; i < 256; i++) if (XOR (islower (i), ISLOWER (i)) || toupper (i) != TOUPPER (i)) return 2; return 0; } _ACEOF if ac_fn_c_try_run "$LINENO"; then : else ac_cv_header_stdc=no fi rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ conftest.$ac_objext conftest.beam conftest.$ac_ext fi fi fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_stdc" >&5 $as_echo "$ac_cv_header_stdc" >&6; } if test $ac_cv_header_stdc = yes; then $as_echo "#define STDC_HEADERS 1" >>confdefs.h fi # On IRIX 5.3, sys/types and inttypes.h are conflicting. for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ inttypes.h stdint.h unistd.h do : as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` ac_fn_c_check_header_compile "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default " if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF #define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 _ACEOF fi done for ac_header in dlfcn.h do : ac_fn_c_check_header_compile "$LINENO" "dlfcn.h" "ac_cv_header_dlfcn_h" "$ac_includes_default " if test "x$ac_cv_header_dlfcn_h" = xyes; then : cat >>confdefs.h <<_ACEOF #define HAVE_DLFCN_H 1 _ACEOF fi done # Set options enable_win32_dll=yes case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-cegcc*) if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}as", so it can be a program name with args. set dummy ${ac_tool_prefix}as; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_AS+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$AS"; then ac_cv_prog_AS="$AS" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AS="${ac_tool_prefix}as" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi AS=$ac_cv_prog_AS if test -n "$AS"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AS" >&5 $as_echo "$AS" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_AS"; then ac_ct_AS=$AS # Extract the first word of "as", so it can be a program name with args. set dummy as; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_AS+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AS"; then ac_cv_prog_ac_ct_AS="$ac_ct_AS" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AS="as" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_AS=$ac_cv_prog_ac_ct_AS if test -n "$ac_ct_AS"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AS" >&5 $as_echo "$ac_ct_AS" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_AS" = x; then AS="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac AS=$ac_ct_AS fi else AS="$ac_cv_prog_AS" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}dlltool", so it can be a program name with args. set dummy ${ac_tool_prefix}dlltool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_DLLTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$DLLTOOL"; then ac_cv_prog_DLLTOOL="$DLLTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_DLLTOOL="${ac_tool_prefix}dlltool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi DLLTOOL=$ac_cv_prog_DLLTOOL if test -n "$DLLTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DLLTOOL" >&5 $as_echo "$DLLTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_DLLTOOL"; then ac_ct_DLLTOOL=$DLLTOOL # Extract the first word of "dlltool", so it can be a program name with args. set dummy dlltool; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_DLLTOOL+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_DLLTOOL"; then ac_cv_prog_ac_ct_DLLTOOL="$ac_ct_DLLTOOL" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_DLLTOOL="dlltool" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_DLLTOOL=$ac_cv_prog_ac_ct_DLLTOOL if test -n "$ac_ct_DLLTOOL"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DLLTOOL" >&5 $as_echo "$ac_ct_DLLTOOL" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_DLLTOOL" = x; then DLLTOOL="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac DLLTOOL=$ac_ct_DLLTOOL fi else DLLTOOL="$ac_cv_prog_DLLTOOL" fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}objdump", so it can be a program name with args. set dummy ${ac_tool_prefix}objdump; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_OBJDUMP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$OBJDUMP"; then ac_cv_prog_OBJDUMP="$OBJDUMP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi OBJDUMP=$ac_cv_prog_OBJDUMP if test -n "$OBJDUMP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OBJDUMP" >&5 $as_echo "$OBJDUMP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi fi if test -z "$ac_cv_prog_OBJDUMP"; then ac_ct_OBJDUMP=$OBJDUMP # Extract the first word of "objdump", so it can be a program name with args. set dummy objdump; ac_word=$2 { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 $as_echo_n "checking for $ac_word... " >&6; } if ${ac_cv_prog_ac_ct_OBJDUMP+:} false; then : $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_OBJDUMP"; then ac_cv_prog_ac_ct_OBJDUMP="$ac_ct_OBJDUMP" # Let the user override the test. else as_save_IFS=$IFS; IFS=$PATH_SEPARATOR for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_OBJDUMP="objdump" $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done done IFS=$as_save_IFS fi fi ac_ct_OBJDUMP=$ac_cv_prog_ac_ct_OBJDUMP if test -n "$ac_ct_OBJDUMP"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OBJDUMP" >&5 $as_echo "$ac_ct_OBJDUMP" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test "x$ac_ct_OBJDUMP" = x; then OBJDUMP="false" else case $cross_compiling:$ac_tool_warned in yes:) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 $as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} ac_tool_warned=yes ;; esac OBJDUMP=$ac_ct_OBJDUMP fi else OBJDUMP="$ac_cv_prog_OBJDUMP" fi ;; esac test -z "$AS" && AS=as test -z "$DLLTOOL" && DLLTOOL=dlltool test -z "$OBJDUMP" && OBJDUMP=objdump enable_dlopen=no # Check whether --enable-shared was given. if test "${enable_shared+set}" = set; then : enableval=$enable_shared; p=${PACKAGE-default} case $enableval in yes) enable_shared=yes ;; no) enable_shared=no ;; *) enable_shared=no # Look at the argument we got. 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We use all the common list separators. lt_save_ifs=$IFS; IFS=$IFS$PATH_SEPARATOR, for pkg in $enableval; do IFS=$lt_save_ifs if test "X$pkg" = "X$p"; then enable_fast_install=yes fi done IFS=$lt_save_ifs ;; esac else enable_fast_install=yes fi shared_archive_member_spec= case $host,$enable_shared in power*-*-aix[5-9]*,yes) { $as_echo "$as_me:${as_lineno-$LINENO}: checking which variant of shared library versioning to provide" >&5 $as_echo_n "checking which variant of shared library versioning to provide... " >&6; } # Check whether --with-aix-soname was given. if test "${with_aix_soname+set}" = set; then : withval=$with_aix_soname; case $withval in aix|svr4|both) ;; *) as_fn_error $? "Unknown argument to --with-aix-soname" "$LINENO" 5 ;; esac lt_cv_with_aix_soname=$with_aix_soname else if ${lt_cv_with_aix_soname+:} false; then : $as_echo_n "(cached) " >&6 else lt_cv_with_aix_soname=aix fi with_aix_soname=$lt_cv_with_aix_soname fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $with_aix_soname" >&5 $as_echo "$with_aix_soname" >&6; } if test aix != "$with_aix_soname"; then # For the AIX way of multilib, we name the shared archive member # based on the bitwidth used, traditionally 'shr.o' or 'shr_64.o', # and 'shr.imp' or 'shr_64.imp', respectively, for the Import File. # Even when GNU compilers ignore OBJECT_MODE but need '-maix64' flag, # the AIX toolchain works better with OBJECT_MODE set (default 32). if test 64 = "${OBJECT_MODE-32}"; then shared_archive_member_spec=shr_64 else shared_archive_member_spec=shr fi fi ;; *) with_aix_soname=aix ;; esac # This can be used to rebuild libtool when needed LIBTOOL_DEPS=$ltmain # Always use our own libtool. LIBTOOL='$(SHELL) $(top_builddir)/libtool' test -z "$LN_S" && LN_S="ln -s" if test -n "${ZSH_VERSION+set}"; then setopt NO_GLOB_SUBST fi { $as_echo "$as_me:${as_lineno-$LINENO}: checking for objdir" >&5 $as_echo_n "checking for objdir... " >&6; } if ${lt_cv_objdir+:} false; then : $as_echo_n "(cached) " >&6 else rm -f .libs 2>/dev/null mkdir .libs 2>/dev/null if test -d .libs; then lt_cv_objdir=.libs else # MS-DOS does not allow filenames that begin with a dot. lt_cv_objdir=_libs fi rmdir .libs 2>/dev/null fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_objdir" >&5 $as_echo "$lt_cv_objdir" >&6; } objdir=$lt_cv_objdir cat >>confdefs.h <<_ACEOF #define LT_OBJDIR "$lt_cv_objdir/" _ACEOF case $host_os in aix3*) # AIX sometimes has problems with the GCC collect2 program. 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This will affect the creation of libtool libraries that *** depend on shared libraries, but programs linked with such libtool *** libraries will work regardless of this problem. Nevertheless, you *** may want to report the problem to your system manager and/or to *** bug-libtool@gnu.org _LT_EOF fi ;; esac fi break fi done IFS=$lt_save_ifs MAGIC_CMD=$lt_save_MAGIC_CMD ;; esac fi MAGIC_CMD=$lt_cv_path_MAGIC_CMD if test -n "$MAGIC_CMD"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MAGIC_CMD" >&5 $as_echo "$MAGIC_CMD" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi if test -z "$lt_cv_path_MAGIC_CMD"; then if test -n "$ac_tool_prefix"; then { $as_echo "$as_me:${as_lineno-$LINENO}: checking for file" >&5 $as_echo_n "checking for file... " >&6; } if ${lt_cv_path_MAGIC_CMD+:} false; then : $as_echo_n "(cached) " >&6 else case $MAGIC_CMD in [\\/*] | ?:[\\/]*) lt_cv_path_MAGIC_CMD=$MAGIC_CMD # Let the user override the test with a path. ;; *) lt_save_MAGIC_CMD=$MAGIC_CMD lt_save_ifs=$IFS; IFS=$PATH_SEPARATOR ac_dummy="/usr/bin$PATH_SEPARATOR$PATH" for ac_dir in $ac_dummy; do IFS=$lt_save_ifs test -z "$ac_dir" && ac_dir=. if test -f "$ac_dir/file"; then lt_cv_path_MAGIC_CMD=$ac_dir/"file" if test -n "$file_magic_test_file"; then case $deplibs_check_method in "file_magic "*) file_magic_regex=`expr "$deplibs_check_method" : "file_magic \(.*\)"` MAGIC_CMD=$lt_cv_path_MAGIC_CMD if eval $file_magic_cmd \$file_magic_test_file 2> /dev/null | $EGREP "$file_magic_regex" > /dev/null; then : else cat <<_LT_EOF 1>&2 *** Warning: the command libtool uses to detect shared libraries, *** $file_magic_cmd, produces output that libtool cannot recognize. *** The result is that libtool may fail to recognize shared libraries *** as such. This will affect the creation of libtool libraries that *** depend on shared libraries, but programs linked with such libtool *** libraries will work regardless of this problem. Nevertheless, you *** may want to report the problem to your system manager and/or to *** bug-libtool@gnu.org _LT_EOF fi ;; esac fi break fi done IFS=$lt_save_ifs MAGIC_CMD=$lt_save_MAGIC_CMD ;; esac fi MAGIC_CMD=$lt_cv_path_MAGIC_CMD if test -n "$MAGIC_CMD"; then { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MAGIC_CMD" >&5 $as_echo "$MAGIC_CMD" >&6; } else { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 $as_echo "no" >&6; } fi else MAGIC_CMD=: fi fi fi ;; esac # Use C for the default configuration in the libtool script lt_save_CC=$CC ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu # Source file extension for C test sources. ac_ext=c # Object file extension for compiled C test sources. objext=o objext=$objext # Code to be used in simple compile tests lt_simple_compile_test_code="int some_variable = 0;" # Code to be used in simple link tests lt_simple_link_test_code='int main(){return(0);}' # If no C compiler was specified, use CC. LTCC=${LTCC-"$CC"} # If no C compiler flags were specified, use CFLAGS. LTCFLAGS=${LTCFLAGS-"$CFLAGS"} # Allow CC to be a program name with arguments. compiler=$CC # Save the default compiler, since it gets overwritten when the other # tags are being tested, and _LT_TAGVAR(compiler, []) is a NOP. compiler_DEFAULT=$CC # save warnings/boilerplate of simple test code ac_outfile=conftest.$ac_objext echo "$lt_simple_compile_test_code" >conftest.$ac_ext eval "$ac_compile" 2>&1 >/dev/null | $SED '/^$/d; /^ *+/d' >conftest.err _lt_compiler_boilerplate=`cat conftest.err` $RM conftest* ac_outfile=conftest.$ac_objext echo "$lt_simple_link_test_code" >conftest.$ac_ext eval "$ac_link" 2>&1 >/dev/null | $SED '/^$/d; /^ *+/d' >conftest.err _lt_linker_boilerplate=`cat conftest.err` $RM -r conftest* ## CAVEAT EMPTOR: ## There is no encapsulation within the following macros, do not change ## the running order or otherwise move them around unless you know exactly ## what you are doing... if test -n "$compiler"; then lt_prog_compiler_no_builtin_flag= if test yes = "$GCC"; then case $cc_basename in nvcc*) lt_prog_compiler_no_builtin_flag=' -Xcompiler -fno-builtin' ;; *) lt_prog_compiler_no_builtin_flag=' -fno-builtin' ;; esac { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $compiler supports -fno-rtti -fno-exceptions" >&5 $as_echo_n "checking if $compiler supports -fno-rtti -fno-exceptions... 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Therefore, libtool *** is disabling shared libraries support. We urge you to upgrade GNU *** binutils to release 2.9.1 or newer. Another option is to modify *** your PATH or compiler configuration so that the native linker is *** used, and then restart. _LT_EOF elif $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname $wl-retain-symbols-file $wl$export_symbols -o $lib' else ld_shlibs=no fi ;; sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX*) case `$LD -v 2>&1` in *\ [01].* | *\ 2.[0-9].* | *\ 2.1[0-5].*) ld_shlibs=no cat <<_LT_EOF 1>&2 *** Warning: Releases of the GNU linker prior to 2.16.91.0.3 cannot *** reliably create shared libraries on SCO systems. Therefore, libtool *** is disabling shared libraries support. We urge you to upgrade GNU *** binutils to release 2.16.91.0.3 or newer. Another option is to modify *** your PATH or compiler configuration so that the native linker is *** used, and then restart. _LT_EOF ;; *) # For security reasons, it is highly recommended that you always # use absolute paths for naming shared libraries, and exclude the # DT_RUNPATH tag from executables and libraries. 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then : lt_aix_libpath_sed=' /Import File Strings/,/^$/ { /^0/ { s/^0 *\([^ ]*\) *$/\1/ p } }' lt_cv_aix_libpath_=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` # Check for a 64-bit object if we didn't find anything. if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` fi fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=/usr/lib:/lib fi fi aix_libpath=$lt_cv_aix_libpath_ fi hardcode_libdir_flag_spec='$wl-blibpath:$libdir:'"$aix_libpath" archive_expsym_cmds='$CC -o $output_objdir/$soname $libobjs $deplibs $wl'$no_entry_flag' $compiler_flags `if test -n "$allow_undefined_flag"; then func_echo_all "$wl$allow_undefined_flag"; else :; fi` $wl'$exp_sym_flag:\$export_symbols' '$shared_flag else if test ia64 = "$host_cpu"; then hardcode_libdir_flag_spec='$wl-R $libdir:/usr/lib:/lib' allow_undefined_flag="-z nodefs" archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs '"\$wl$no_entry_flag"' $compiler_flags $wl$allow_undefined_flag '"\$wl$exp_sym_flag:\$export_symbols" else # Determine the default libpath from the value encoded in an # empty executable. if test set = "${lt_cv_aix_libpath+set}"; then aix_libpath=$lt_cv_aix_libpath else if ${lt_cv_aix_libpath_+:} false; then : $as_echo_n "(cached) " >&6 else cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { ; return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_aix_libpath_sed=' /Import File Strings/,/^$/ { /^0/ { s/^0 *\([^ ]*\) *$/\1/ p } }' lt_cv_aix_libpath_=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` # Check for a 64-bit object if we didn't find anything. if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` fi fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext if test -z "$lt_cv_aix_libpath_"; then lt_cv_aix_libpath_=/usr/lib:/lib fi fi aix_libpath=$lt_cv_aix_libpath_ fi hardcode_libdir_flag_spec='$wl-blibpath:$libdir:'"$aix_libpath" # Warning - without using the other run time loading flags, # -berok will link without error, but may produce a broken library. no_undefined_flag=' $wl-bernotok' allow_undefined_flag=' $wl-berok' if test yes = "$with_gnu_ld"; then # We only use this code for GNU lds that support --whole-archive. whole_archive_flag_spec='$wl--whole-archive$convenience $wl--no-whole-archive' else # Exported symbols can be pulled into shared objects from archives whole_archive_flag_spec='$convenience' fi archive_cmds_need_lc=yes archive_expsym_cmds='$RM -r $output_objdir/$realname.d~$MKDIR $output_objdir/$realname.d' # -brtl affects multiple linker settings, -berok does not and is overridden later compiler_flags_filtered='`func_echo_all "$compiler_flags " | $SED -e "s%-brtl\\([, ]\\)%-berok\\1%g"`' if test svr4 != "$with_aix_soname"; then # This is similar to how AIX traditionally builds its shared libraries. archive_expsym_cmds="$archive_expsym_cmds"'~$CC '$shared_flag_aix' -o $output_objdir/$realname.d/$soname $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$realname.d/$soname' fi if test aix != "$with_aix_soname"; then archive_expsym_cmds="$archive_expsym_cmds"'~$CC '$shared_flag_svr4' -o $output_objdir/$realname.d/$shared_archive_member_spec.o $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$STRIP -e $output_objdir/$realname.d/$shared_archive_member_spec.o~( func_echo_all "#! $soname($shared_archive_member_spec.o)"; if test shr_64 = "$shared_archive_member_spec"; then func_echo_all "# 64"; else func_echo_all "# 32"; fi; cat $export_symbols ) > $output_objdir/$realname.d/$shared_archive_member_spec.imp~$AR $AR_FLAGS $output_objdir/$soname $output_objdir/$realname.d/$shared_archive_member_spec.o $output_objdir/$realname.d/$shared_archive_member_spec.imp' else # used by -dlpreopen to get the symbols archive_expsym_cmds="$archive_expsym_cmds"'~$MV $output_objdir/$realname.d/$soname $output_objdir' fi archive_expsym_cmds="$archive_expsym_cmds"'~$RM -r $output_objdir/$realname.d' fi fi ;; amigaos*) case $host_cpu in powerpc) # see comment about AmigaOS4 .so support archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags $wl-soname $wl$soname -o $lib' archive_expsym_cmds='' ;; m68k) archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' hardcode_libdir_flag_spec='-L$libdir' hardcode_minus_L=yes ;; esac ;; bsdi[45]*) export_dynamic_flag_spec=-rdynamic ;; cygwin* | mingw* | pw32* | cegcc*) # When not using gcc, we currently assume that we are using # Microsoft Visual C++ or Intel C++ Compiler. # hardcode_libdir_flag_spec is actually meaningless, as there is # no search path for DLLs. case $cc_basename in cl* | icl*) # Native MSVC or ICC hardcode_libdir_flag_spec=' ' allow_undefined_flag=unsupported always_export_symbols=yes file_list_spec='@' # Tell ltmain to make .lib files, not .a files. libext=lib # Tell ltmain to make .dll files, not .so files. shrext_cmds=.dll # FIXME: Setting linknames here is a bad hack. archive_cmds='$CC -o $output_objdir/$soname $libobjs $compiler_flags $deplibs -Wl,-DLL,-IMPLIB:"$tool_output_objdir$libname.dll.lib"~linknames=' archive_expsym_cmds='if test DEF = "`$SED -n -e '\''s/^[ ]*//'\'' -e '\''/^\(;.*\)*$/d'\'' -e '\''s/^\(EXPORTS\|LIBRARY\)\([ ].*\)*$/DEF/p'\'' -e q $export_symbols`" ; then cp "$export_symbols" "$output_objdir/$soname.def"; echo "$tool_output_objdir$soname.def" > "$output_objdir/$soname.exp"; else $SED -e '\''s/^/-link -EXPORT:/'\'' < $export_symbols > $output_objdir/$soname.exp; fi~ $CC -o $tool_output_objdir$soname $libobjs $compiler_flags $deplibs "@$tool_output_objdir$soname.exp" -Wl,-DLL,-IMPLIB:"$tool_output_objdir$libname.dll.lib"~ linknames=' # The linker will not automatically build a static lib if we build a DLL. # _LT_TAGVAR(old_archive_from_new_cmds, )='true' enable_shared_with_static_runtimes=yes exclude_expsyms='_NULL_IMPORT_DESCRIPTOR|_IMPORT_DESCRIPTOR_.*' export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED -e '\''/^[BCDGRS][ ]/s/.*[ ]\([^ ]*\)/\1,DATA/'\'' | $SED -e '\''/^[AITW][ ]/s/.*[ ]//'\'' | sort | uniq > $export_symbols' # Don't use ranlib old_postinstall_cmds='chmod 644 $oldlib' postlink_cmds='lt_outputfile="@OUTPUT@"~ lt_tool_outputfile="@TOOL_OUTPUT@"~ case $lt_outputfile in *.exe|*.EXE) ;; *) lt_outputfile=$lt_outputfile.exe lt_tool_outputfile=$lt_tool_outputfile.exe ;; esac~ if test : != "$MANIFEST_TOOL" && test -f "$lt_outputfile.manifest"; then $MANIFEST_TOOL -manifest "$lt_tool_outputfile.manifest" -outputresource:"$lt_tool_outputfile" || exit 1; $RM "$lt_outputfile.manifest"; fi' ;; *) # Assume MSVC and ICC wrapper hardcode_libdir_flag_spec=' ' allow_undefined_flag=unsupported # Tell ltmain to make .lib files, not .a files. libext=lib # Tell ltmain to make .dll files, not .so files. shrext_cmds=.dll # FIXME: Setting linknames here is a bad hack. archive_cmds='$CC -o $lib $libobjs $compiler_flags `func_echo_all "$deplibs" | $SED '\''s/ -lc$//'\''` -link -dll~linknames=' # The linker will automatically build a .lib file if we build a DLL. old_archive_from_new_cmds='true' # FIXME: Should let the user specify the lib program. old_archive_cmds='lib -OUT:$oldlib$oldobjs$old_deplibs' enable_shared_with_static_runtimes=yes ;; esac ;; darwin* | rhapsody*) archive_cmds_need_lc=no hardcode_direct=no hardcode_automatic=yes hardcode_shlibpath_var=unsupported if test yes = "$lt_cv_ld_force_load"; then whole_archive_flag_spec='`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience $wl-force_load,$conv\"; done; func_echo_all \"$new_convenience\"`' else whole_archive_flag_spec='' fi link_all_deplibs=yes allow_undefined_flag=$_lt_dar_allow_undefined case $cc_basename in ifort*|nagfor*) _lt_dar_can_shared=yes ;; *) _lt_dar_can_shared=$GCC ;; esac if test yes = "$_lt_dar_can_shared"; then output_verbose_link_cmd=func_echo_all archive_cmds="\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring $_lt_dar_single_mod$_lt_dsymutil" module_cmds="\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags$_lt_dsymutil" archive_expsym_cmds="$SED 's|^|_|' < \$export_symbols > \$output_objdir/\$libname-symbols.expsym~\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring $_lt_dar_single_mod$_lt_dar_export_syms$_lt_dsymutil" module_expsym_cmds="$SED -e 's|^|_|' < \$export_symbols > \$output_objdir/\$libname-symbols.expsym~\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags$_lt_dar_export_syms$_lt_dsymutil" else ld_shlibs=no fi ;; dgux*) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_libdir_flag_spec='-L$libdir' hardcode_shlibpath_var=no ;; # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor # support. 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" >&6; } if ${lt_cv_irix_exported_symbol+:} false; then : $as_echo_n "(cached) " >&6 else save_LDFLAGS=$LDFLAGS LDFLAGS="$LDFLAGS -shared $wl-exported_symbol ${wl}foo $wl-update_registry $wl/dev/null" cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int foo (void) { return 0; } _ACEOF if ac_fn_c_try_link "$LINENO"; then : lt_cv_irix_exported_symbol=yes else lt_cv_irix_exported_symbol=no fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext conftest.$ac_ext LDFLAGS=$save_LDFLAGS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_irix_exported_symbol" >&5 $as_echo "$lt_cv_irix_exported_symbol" >&6; } if test yes = "$lt_cv_irix_exported_symbol"; then archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags $wl-soname $wl$soname `test -n "$verstring" && func_echo_all "$wl-set_version $wl$verstring"` $wl-update_registry $wl$output_objdir/so_locations $wl-exports_file $wl$export_symbols -o $lib' fi else archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib' archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -exports_file $export_symbols -o $lib' fi archive_cmds_need_lc='no' hardcode_libdir_flag_spec='$wl-rpath $wl$libdir' hardcode_libdir_separator=: inherit_rpath=yes link_all_deplibs=yes ;; linux*) case $cc_basename in tcc*) # Fabrice Bellard et al's Tiny C Compiler ld_shlibs=yes archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' ;; esac ;; netbsd*) if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' # a.out else archive_cmds='$LD -shared -o $lib $libobjs $deplibs $linker_flags' # ELF fi hardcode_libdir_flag_spec='-R$libdir' hardcode_direct=yes hardcode_shlibpath_var=no ;; newsos6) archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' hardcode_direct=yes hardcode_libdir_flag_spec='$wl-rpath $wl$libdir' hardcode_libdir_separator=: hardcode_shlibpath_var=no ;; *nto* | *qnx*) ;; openbsd* | bitrig*) if test -f /usr/libexec/ld.so; then hardcode_direct=yes hardcode_shlibpath_var=no hardcode_direct_absolute=yes if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`"; then archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' archive_expsym_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags $wl-retain-symbols-file,$export_symbols' hardcode_libdir_flag_spec='$wl-rpath,$libdir' export_dynamic_flag_spec='$wl-E' else archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' hardcode_libdir_flag_spec='$wl-rpath,$libdir' fi else ld_shlibs=no fi ;; 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"gmp.h cannot be found or is unusable." "$LINENO" 5 fi rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext # Checks for header files. for ac_header in inttypes.h stdint.h sys/time.h do : as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` ac_fn_c_check_header_mongrel "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default" if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF #define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 _ACEOF fi done ac_fn_c_check_header_mongrel "$LINENO" "complex.h" "ac_cv_header_complex_h" "$ac_includes_default" if test "x$ac_cv_header_complex_h" = xyes; then : { $as_echo "$as_me:${as_lineno-$LINENO}: checking for library containing creal" >&5 $as_echo_n "checking for library containing creal... " >&6; } if ${ac_cv_search_creal+:} false; then : $as_echo_n "(cached) " >&6 else ac_func_search_save_LIBS=$LIBS cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ /* Override any GCC internal prototype to avoid an error. Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif char creal (); int main () { return creal (); ; return 0; } _ACEOF for ac_lib in '' m; do if test -z "$ac_lib"; then ac_res="none required" else ac_res=-l$ac_lib LIBS="-l$ac_lib $ac_func_search_save_LIBS" fi if ac_fn_c_try_link "$LINENO"; then : ac_cv_search_creal=$ac_res fi rm -f core conftest.err conftest.$ac_objext \ conftest$ac_exeext if ${ac_cv_search_creal+:} false; then : break fi done if ${ac_cv_search_creal+:} false; then : else ac_cv_search_creal=no fi rm conftest.$ac_ext LIBS=$ac_func_search_save_LIBS fi { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_search_creal" >&5 $as_echo "$ac_cv_search_creal" >&6; } ac_res=$ac_cv_search_creal if test "$ac_res" != no; then : test "$ac_res" = "none required" || LIBS="$ac_res $LIBS" fi # needed on Solaris { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether creal, cimag and I can be used" >&5 $as_echo_n "checking whether creal, cimag and I can be used... 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This bash problem # is reportedly fixed, but why not run on old versions too? $SED '$q' "$ltmain" >> "$cfgfile" \ || (rm -f "$cfgfile"; exit 1) mv -f "$cfgfile" "$ofile" || (rm -f "$ofile" && cp "$cfgfile" "$ofile" && rm -f "$cfgfile") chmod +x "$ofile" ;; esac done # for ac_tag as_fn_exit 0 _ACEOF ac_clean_files=$ac_clean_files_save test $ac_write_fail = 0 || as_fn_error $? "write failure creating $CONFIG_STATUS" "$LINENO" 5 # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. # Unfortunately, on DOS this fails, as config.log is still kept open # by configure, so config.status won't be able to write to it; its # output is simply discarded. So we exec the FD to /dev/null, # effectively closing config.log, so it can be properly (re)opened and # appended to by config.status. When coming back to configure, we # need to make the FD available again. if test "$no_create" != yes; then ac_cs_success=: ac_config_status_args= test "$silent" = yes && ac_config_status_args="$ac_config_status_args --quiet" exec 5>/dev/null $SHELL $CONFIG_STATUS $ac_config_status_args || ac_cs_success=false exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. $ac_cs_success || as_fn_exit 1 fi if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi mpc-1.3.1/INSTALL0000444000175100017460000003662614344636453010302 00000000000000Installation Instructions ************************* Copyright (C) 1994-1996, 1999-2002, 2004-2017, 2020-2021 Free Software Foundation, Inc. Copying and distribution of this file, with or without modification, are permitted in any medium without royalty provided the copyright notice and this notice are preserved. This file is offered as-is, without warranty of any kind. Basic Installation ================== Briefly, the shell command './configure && make && make install' should configure, build, and install this package. The following more-detailed instructions are generic; see the 'README' file for instructions specific to this package. Some packages provide this 'INSTALL' file but do not implement all of the features documented below. The lack of an optional feature in a given package is not necessarily a bug. More recommendations for GNU packages can be found in *note Makefile Conventions: (standards)Makefile Conventions. The 'configure' shell script attempts to guess correct values for various system-dependent variables used during compilation. 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When installing into a prefix owned by root, it is recommended that the package be configured and built as a regular user, and only the 'make install' phase executed with root privileges. 5. Optionally, type 'make installcheck' to repeat any self-tests, but this time using the binaries in their final installed location. This target does not install anything. Running this target as a regular user, particularly if the prior 'make install' required root privileges, verifies that the installation completed correctly. 6. You can remove the program binaries and object files from the source code directory by typing 'make clean'. To also remove the files that 'configure' created (so you can compile the package for a different kind of computer), type 'make distclean'. There is also a 'make maintainer-clean' target, but that is intended mainly for the package's developers. 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On MacOS X 10.5 and later systems, you can create libraries and executables that work on multiple system types--known as "fat" or "universal" binaries--by specifying multiple '-arch' options to the compiler but only a single '-arch' option to the preprocessor. Like this: ./configure CC="gcc -arch i386 -arch x86_64 -arch ppc -arch ppc64" \ CXX="g++ -arch i386 -arch x86_64 -arch ppc -arch ppc64" \ CPP="gcc -E" CXXCPP="g++ -E" This is not guaranteed to produce working output in all cases, you may have to build one architecture at a time and combine the results using the 'lipo' tool if you have problems. Installation Names ================== By default, 'make install' installs the package's commands under '/usr/local/bin', include files under '/usr/local/include', etc. You can specify an installation prefix other than '/usr/local' by giving 'configure' the option '--prefix=PREFIX', where PREFIX must be an absolute file name. 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Run 'configure --help' for more details. mpc-1.3.1/build-aux/0000755000175100017460000000000014346567725011217 500000000000000mpc-1.3.1/build-aux/missing0000777000175100017460000001533514344353471012536 00000000000000#!/bin/sh # Common wrapper for a few potentially missing GNU programs. scriptversion=2018-03-07.03; # UTC # Copyright (C) 1996-2021 Free Software Foundation, Inc. # Originally written by Fran,cois Pinard , 1996. # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2, or (at your option) # any later version. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # You should have received a copy of the GNU General Public License # along with this program. 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The system name ranges from "MiNT" over "FreeMiNT" # to the lowercase version "mint" (or "freemint"). Finally # the system name "TOS" denotes a system which is actually not # MiNT. But MiNT is downward compatible to TOS, so this should # be no problem. atarist[e]:*MiNT:*:* | atarist[e]:*mint:*:* | atarist[e]:*TOS:*:*) GUESS=m68k-atari-mint$UNAME_RELEASE ;; atari*:*MiNT:*:* | atari*:*mint:*:* | atarist[e]:*TOS:*:*) GUESS=m68k-atari-mint$UNAME_RELEASE ;; *falcon*:*MiNT:*:* | *falcon*:*mint:*:* | *falcon*:*TOS:*:*) GUESS=m68k-atari-mint$UNAME_RELEASE ;; milan*:*MiNT:*:* | milan*:*mint:*:* | *milan*:*TOS:*:*) GUESS=m68k-milan-mint$UNAME_RELEASE ;; hades*:*MiNT:*:* | hades*:*mint:*:* | *hades*:*TOS:*:*) GUESS=m68k-hades-mint$UNAME_RELEASE ;; *:*MiNT:*:* | *:*mint:*:* | *:*TOS:*:*) GUESS=m68k-unknown-mint$UNAME_RELEASE ;; m68k:machten:*:*) GUESS=m68k-apple-machten$UNAME_RELEASE ;; powerpc:machten:*:*) GUESS=powerpc-apple-machten$UNAME_RELEASE ;; RISC*:Mach:*:*) GUESS=mips-dec-mach_bsd4.3 ;; RISC*:ULTRIX:*:*) GUESS=mips-dec-ultrix$UNAME_RELEASE ;; VAX*:ULTRIX*:*:*) GUESS=vax-dec-ultrix$UNAME_RELEASE ;; 2020:CLIX:*:* | 2430:CLIX:*:*) GUESS=clipper-intergraph-clix$UNAME_RELEASE ;; mips:*:*:UMIPS | mips:*:*:RISCos) set_cc_for_build sed 's/^ //' << EOF > "$dummy.c" #ifdef __cplusplus #include /* for printf() prototype */ int main (int argc, char *argv[]) { #else int main (argc, argv) int argc; char *argv[]; { #endif #if defined (host_mips) && defined (MIPSEB) #if defined (SYSTYPE_SYSV) printf ("mips-mips-riscos%ssysv\\n", argv[1]); exit (0); #endif #if defined (SYSTYPE_SVR4) printf ("mips-mips-riscos%ssvr4\\n", argv[1]); exit (0); #endif #if defined (SYSTYPE_BSD43) || defined(SYSTYPE_BSD) printf ("mips-mips-riscos%sbsd\\n", argv[1]); exit (0); #endif #endif exit (-1); } EOF $CC_FOR_BUILD -o "$dummy" "$dummy.c" && dummyarg=`echo "$UNAME_RELEASE" | sed -n 's/\([0-9]*\).*/\1/p'` && SYSTEM_NAME=`"$dummy" "$dummyarg"` && { echo "$SYSTEM_NAME"; exit; } GUESS=mips-mips-riscos$UNAME_RELEASE ;; Motorola:PowerMAX_OS:*:*) GUESS=powerpc-motorola-powermax ;; Motorola:*:4.3:PL8-*) GUESS=powerpc-harris-powermax ;; Night_Hawk:*:*:PowerMAX_OS | Synergy:PowerMAX_OS:*:*) GUESS=powerpc-harris-powermax ;; Night_Hawk:Power_UNIX:*:*) GUESS=powerpc-harris-powerunix ;; m88k:CX/UX:7*:*) GUESS=m88k-harris-cxux7 ;; m88k:*:4*:R4*) GUESS=m88k-motorola-sysv4 ;; m88k:*:3*:R3*) GUESS=m88k-motorola-sysv3 ;; AViiON:dgux:*:*) # DG/UX returns AViiON for all architectures UNAME_PROCESSOR=`/usr/bin/uname -p` if test "$UNAME_PROCESSOR" = mc88100 || test "$UNAME_PROCESSOR" = mc88110 then if test "$TARGET_BINARY_INTERFACE"x = m88kdguxelfx || \ test "$TARGET_BINARY_INTERFACE"x = x then GUESS=m88k-dg-dgux$UNAME_RELEASE else GUESS=m88k-dg-dguxbcs$UNAME_RELEASE fi else GUESS=i586-dg-dgux$UNAME_RELEASE fi ;; M88*:DolphinOS:*:*) # DolphinOS (SVR3) GUESS=m88k-dolphin-sysv3 ;; M88*:*:R3*:*) # Delta 88k system running SVR3 GUESS=m88k-motorola-sysv3 ;; XD88*:*:*:*) # Tektronix XD88 system running UTekV (SVR3) GUESS=m88k-tektronix-sysv3 ;; Tek43[0-9][0-9]:UTek:*:*) # Tektronix 4300 system running UTek (BSD) GUESS=m68k-tektronix-bsd ;; *:IRIX*:*:*) IRIX_REL=`echo "$UNAME_RELEASE" | sed -e 's/-/_/g'` GUESS=mips-sgi-irix$IRIX_REL ;; ????????:AIX?:[12].1:2) # AIX 2.2.1 or AIX 2.1.1 is RT/PC AIX. GUESS=romp-ibm-aix # uname -m gives an 8 hex-code CPU id ;; # Note that: echo "'`uname -s`'" gives 'AIX ' i*86:AIX:*:*) GUESS=i386-ibm-aix ;; ia64:AIX:*:*) if test -x /usr/bin/oslevel ; then IBM_REV=`/usr/bin/oslevel` else IBM_REV=$UNAME_VERSION.$UNAME_RELEASE fi GUESS=$UNAME_MACHINE-ibm-aix$IBM_REV ;; *:AIX:2:3) if grep bos325 /usr/include/stdio.h >/dev/null 2>&1; then set_cc_for_build sed 's/^ //' << EOF > "$dummy.c" #include main() { if (!__power_pc()) exit(1); puts("powerpc-ibm-aix3.2.5"); exit(0); } EOF if $CC_FOR_BUILD -o "$dummy" "$dummy.c" && SYSTEM_NAME=`"$dummy"` then GUESS=$SYSTEM_NAME else GUESS=rs6000-ibm-aix3.2.5 fi elif grep bos324 /usr/include/stdio.h >/dev/null 2>&1; then GUESS=rs6000-ibm-aix3.2.4 else GUESS=rs6000-ibm-aix3.2 fi ;; *:AIX:*:[4567]) IBM_CPU_ID=`/usr/sbin/lsdev -C -c processor -S available | sed 1q | awk '{ print $1 }'` if /usr/sbin/lsattr -El "$IBM_CPU_ID" | grep ' POWER' >/dev/null 2>&1; then IBM_ARCH=rs6000 else IBM_ARCH=powerpc fi if test -x /usr/bin/lslpp ; then IBM_REV=`/usr/bin/lslpp -Lqc bos.rte.libc | \ awk -F: '{ print $3 }' | sed s/[0-9]*$/0/` else IBM_REV=$UNAME_VERSION.$UNAME_RELEASE fi GUESS=$IBM_ARCH-ibm-aix$IBM_REV ;; *:AIX:*:*) GUESS=rs6000-ibm-aix ;; ibmrt:4.4BSD:*|romp-ibm:4.4BSD:*) GUESS=romp-ibm-bsd4.4 ;; ibmrt:*BSD:*|romp-ibm:BSD:*) # covers RT/PC BSD and GUESS=romp-ibm-bsd$UNAME_RELEASE # 4.3 with uname added to ;; # report: romp-ibm BSD 4.3 *:BOSX:*:*) GUESS=rs6000-bull-bosx ;; DPX/2?00:B.O.S.:*:*) GUESS=m68k-bull-sysv3 ;; 9000/[34]??:4.3bsd:1.*:*) GUESS=m68k-hp-bsd ;; hp300:4.4BSD:*:* | 9000/[34]??:4.3bsd:2.*:*) GUESS=m68k-hp-bsd4.4 ;; 9000/[34678]??:HP-UX:*:*) HPUX_REV=`echo "$UNAME_RELEASE" | sed -e 's/[^.]*.[0B]*//'` case $UNAME_MACHINE in 9000/31?) HP_ARCH=m68000 ;; 9000/[34]??) HP_ARCH=m68k ;; 9000/[678][0-9][0-9]) if test -x /usr/bin/getconf; then sc_cpu_version=`/usr/bin/getconf SC_CPU_VERSION 2>/dev/null` sc_kernel_bits=`/usr/bin/getconf SC_KERNEL_BITS 2>/dev/null` case $sc_cpu_version in 523) HP_ARCH=hppa1.0 ;; # CPU_PA_RISC1_0 528) HP_ARCH=hppa1.1 ;; # CPU_PA_RISC1_1 532) # CPU_PA_RISC2_0 case $sc_kernel_bits in 32) HP_ARCH=hppa2.0n ;; 64) HP_ARCH=hppa2.0w ;; '') HP_ARCH=hppa2.0 ;; # HP-UX 10.20 esac ;; esac fi if test "$HP_ARCH" = ""; then set_cc_for_build sed 's/^ //' << EOF > "$dummy.c" #define _HPUX_SOURCE #include #include int main () { #if defined(_SC_KERNEL_BITS) long bits = sysconf(_SC_KERNEL_BITS); #endif long cpu = sysconf (_SC_CPU_VERSION); switch (cpu) { case CPU_PA_RISC1_0: puts ("hppa1.0"); break; case CPU_PA_RISC1_1: puts ("hppa1.1"); break; case CPU_PA_RISC2_0: #if defined(_SC_KERNEL_BITS) switch (bits) { case 64: puts ("hppa2.0w"); break; case 32: puts ("hppa2.0n"); break; default: puts ("hppa2.0"); break; } break; #else /* !defined(_SC_KERNEL_BITS) */ puts ("hppa2.0"); break; #endif default: puts ("hppa1.0"); break; } exit (0); } EOF (CCOPTS="" $CC_FOR_BUILD -o "$dummy" "$dummy.c" 2>/dev/null) && HP_ARCH=`"$dummy"` test -z "$HP_ARCH" && HP_ARCH=hppa fi ;; esac if test "$HP_ARCH" = hppa2.0w then set_cc_for_build # hppa2.0w-hp-hpux* has a 64-bit kernel and a compiler generating # 32-bit code. hppa64-hp-hpux* has the same kernel and a compiler # generating 64-bit code. GNU and HP use different nomenclature: # # $ CC_FOR_BUILD=cc ./config.guess # => hppa2.0w-hp-hpux11.23 # $ CC_FOR_BUILD="cc +DA2.0w" ./config.guess # => hppa64-hp-hpux11.23 if echo __LP64__ | (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | grep -q __LP64__ then HP_ARCH=hppa2.0w else HP_ARCH=hppa64 fi fi GUESS=$HP_ARCH-hp-hpux$HPUX_REV ;; ia64:HP-UX:*:*) HPUX_REV=`echo "$UNAME_RELEASE" | sed -e 's/[^.]*.[0B]*//'` GUESS=ia64-hp-hpux$HPUX_REV ;; 3050*:HI-UX:*:*) set_cc_for_build sed 's/^ //' << EOF > "$dummy.c" #include int main () { long cpu = sysconf (_SC_CPU_VERSION); /* The order matters, because CPU_IS_HP_MC68K erroneously returns true for CPU_PA_RISC1_0. CPU_IS_PA_RISC returns correct results, however. */ if (CPU_IS_PA_RISC (cpu)) { switch (cpu) { case CPU_PA_RISC1_0: puts ("hppa1.0-hitachi-hiuxwe2"); break; case CPU_PA_RISC1_1: puts ("hppa1.1-hitachi-hiuxwe2"); break; case CPU_PA_RISC2_0: puts ("hppa2.0-hitachi-hiuxwe2"); break; default: puts ("hppa-hitachi-hiuxwe2"); break; } } else if (CPU_IS_HP_MC68K (cpu)) puts ("m68k-hitachi-hiuxwe2"); else puts ("unknown-hitachi-hiuxwe2"); exit (0); } EOF $CC_FOR_BUILD -o "$dummy" "$dummy.c" && SYSTEM_NAME=`"$dummy"` && { echo "$SYSTEM_NAME"; exit; } GUESS=unknown-hitachi-hiuxwe2 ;; 9000/7??:4.3bsd:*:* | 9000/8?[79]:4.3bsd:*:*) GUESS=hppa1.1-hp-bsd ;; 9000/8??:4.3bsd:*:*) GUESS=hppa1.0-hp-bsd ;; *9??*:MPE/iX:*:* | *3000*:MPE/iX:*:*) GUESS=hppa1.0-hp-mpeix ;; hp7??:OSF1:*:* | hp8?[79]:OSF1:*:*) GUESS=hppa1.1-hp-osf ;; hp8??:OSF1:*:*) GUESS=hppa1.0-hp-osf ;; i*86:OSF1:*:*) if test -x /usr/sbin/sysversion ; then GUESS=$UNAME_MACHINE-unknown-osf1mk else GUESS=$UNAME_MACHINE-unknown-osf1 fi ;; parisc*:Lites*:*:*) GUESS=hppa1.1-hp-lites ;; C1*:ConvexOS:*:* | convex:ConvexOS:C1*:*) GUESS=c1-convex-bsd ;; C2*:ConvexOS:*:* | convex:ConvexOS:C2*:*) if getsysinfo -f scalar_acc then echo c32-convex-bsd else echo c2-convex-bsd fi exit ;; C34*:ConvexOS:*:* | convex:ConvexOS:C34*:*) GUESS=c34-convex-bsd ;; C38*:ConvexOS:*:* | convex:ConvexOS:C38*:*) GUESS=c38-convex-bsd ;; C4*:ConvexOS:*:* | convex:ConvexOS:C4*:*) GUESS=c4-convex-bsd ;; CRAY*Y-MP:*:*:*) CRAY_REL=`echo "$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'` GUESS=ymp-cray-unicos$CRAY_REL ;; CRAY*[A-Z]90:*:*:*) echo "$UNAME_MACHINE"-cray-unicos"$UNAME_RELEASE" \ | sed -e 's/CRAY.*\([A-Z]90\)/\1/' \ -e y/ABCDEFGHIJKLMNOPQRSTUVWXYZ/abcdefghijklmnopqrstuvwxyz/ \ -e 's/\.[^.]*$/.X/' exit ;; CRAY*TS:*:*:*) CRAY_REL=`echo "$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'` GUESS=t90-cray-unicos$CRAY_REL ;; CRAY*T3E:*:*:*) CRAY_REL=`echo "$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'` GUESS=alphaev5-cray-unicosmk$CRAY_REL ;; CRAY*SV1:*:*:*) CRAY_REL=`echo "$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'` GUESS=sv1-cray-unicos$CRAY_REL ;; *:UNICOS/mp:*:*) CRAY_REL=`echo "$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'` GUESS=craynv-cray-unicosmp$CRAY_REL ;; F30[01]:UNIX_System_V:*:* | F700:UNIX_System_V:*:*) FUJITSU_PROC=`uname -m | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz` FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'` FUJITSU_REL=`echo "$UNAME_RELEASE" | sed -e 's/ /_/'` GUESS=${FUJITSU_PROC}-fujitsu-${FUJITSU_SYS}${FUJITSU_REL} ;; 5000:UNIX_System_V:4.*:*) FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'` FUJITSU_REL=`echo "$UNAME_RELEASE" | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/ /_/'` GUESS=sparc-fujitsu-${FUJITSU_SYS}${FUJITSU_REL} ;; i*86:BSD/386:*:* | i*86:BSD/OS:*:* | *:Ascend\ Embedded/OS:*:*) GUESS=$UNAME_MACHINE-pc-bsdi$UNAME_RELEASE ;; sparc*:BSD/OS:*:*) GUESS=sparc-unknown-bsdi$UNAME_RELEASE ;; *:BSD/OS:*:*) GUESS=$UNAME_MACHINE-unknown-bsdi$UNAME_RELEASE ;; arm:FreeBSD:*:*) UNAME_PROCESSOR=`uname -p` set_cc_for_build if echo __ARM_PCS_VFP | $CC_FOR_BUILD -E - 2>/dev/null \ | grep -q __ARM_PCS_VFP then FREEBSD_REL=`echo "$UNAME_RELEASE" | sed -e 's/[-(].*//'` GUESS=$UNAME_PROCESSOR-unknown-freebsd$FREEBSD_REL-gnueabi else FREEBSD_REL=`echo "$UNAME_RELEASE" | sed -e 's/[-(].*//'` GUESS=$UNAME_PROCESSOR-unknown-freebsd$FREEBSD_REL-gnueabihf fi ;; *:FreeBSD:*:*) UNAME_PROCESSOR=`/usr/bin/uname -p` case $UNAME_PROCESSOR in amd64) UNAME_PROCESSOR=x86_64 ;; i386) UNAME_PROCESSOR=i586 ;; esac FREEBSD_REL=`echo "$UNAME_RELEASE" | sed -e 's/[-(].*//'` GUESS=$UNAME_PROCESSOR-unknown-freebsd$FREEBSD_REL ;; i*:CYGWIN*:*) GUESS=$UNAME_MACHINE-pc-cygwin ;; *:MINGW64*:*) GUESS=$UNAME_MACHINE-pc-mingw64 ;; *:MINGW*:*) GUESS=$UNAME_MACHINE-pc-mingw32 ;; *:MSYS*:*) GUESS=$UNAME_MACHINE-pc-msys ;; i*:PW*:*) GUESS=$UNAME_MACHINE-pc-pw32 ;; *:Interix*:*) case $UNAME_MACHINE in x86) GUESS=i586-pc-interix$UNAME_RELEASE ;; authenticamd | genuineintel | EM64T) GUESS=x86_64-unknown-interix$UNAME_RELEASE ;; IA64) GUESS=ia64-unknown-interix$UNAME_RELEASE ;; esac ;; i*:UWIN*:*) GUESS=$UNAME_MACHINE-pc-uwin ;; amd64:CYGWIN*:*:* | x86_64:CYGWIN*:*:*) GUESS=x86_64-pc-cygwin ;; prep*:SunOS:5.*:*) SUN_REL=`echo "$UNAME_RELEASE" | sed -e 's/[^.]*//'` GUESS=powerpcle-unknown-solaris2$SUN_REL ;; *:GNU:*:*) # the GNU system GNU_ARCH=`echo "$UNAME_MACHINE" | sed -e 's,[-/].*$,,'` GNU_REL=`echo "$UNAME_RELEASE" | sed -e 's,/.*$,,'` GUESS=$GNU_ARCH-unknown-$LIBC$GNU_REL ;; *:GNU/*:*:*) # other systems with GNU libc and userland GNU_SYS=`echo "$UNAME_SYSTEM" | sed 's,^[^/]*/,,' | tr "[:upper:]" "[:lower:]"` GNU_REL=`echo "$UNAME_RELEASE" | sed -e 's/[-(].*//'` GUESS=$UNAME_MACHINE-unknown-$GNU_SYS$GNU_REL-$LIBC ;; *:Minix:*:*) GUESS=$UNAME_MACHINE-unknown-minix ;; aarch64:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; aarch64_be:Linux:*:*) UNAME_MACHINE=aarch64_be GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; alpha:Linux:*:*) case `sed -n '/^cpu model/s/^.*: \(.*\)/\1/p' /proc/cpuinfo 2>/dev/null` in EV5) UNAME_MACHINE=alphaev5 ;; EV56) UNAME_MACHINE=alphaev56 ;; PCA56) UNAME_MACHINE=alphapca56 ;; PCA57) UNAME_MACHINE=alphapca56 ;; EV6) UNAME_MACHINE=alphaev6 ;; EV67) UNAME_MACHINE=alphaev67 ;; EV68*) UNAME_MACHINE=alphaev68 ;; esac objdump --private-headers /bin/sh | grep -q ld.so.1 if test "$?" = 0 ; then LIBC=gnulibc1 ; fi GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; arc:Linux:*:* | arceb:Linux:*:* | arc32:Linux:*:* | arc64:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; arm*:Linux:*:*) set_cc_for_build if echo __ARM_EABI__ | $CC_FOR_BUILD -E - 2>/dev/null \ | grep -q __ARM_EABI__ then GUESS=$UNAME_MACHINE-unknown-linux-$LIBC else if echo __ARM_PCS_VFP | $CC_FOR_BUILD -E - 2>/dev/null \ | grep -q __ARM_PCS_VFP then GUESS=$UNAME_MACHINE-unknown-linux-${LIBC}eabi else GUESS=$UNAME_MACHINE-unknown-linux-${LIBC}eabihf fi fi ;; avr32*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; cris:Linux:*:*) GUESS=$UNAME_MACHINE-axis-linux-$LIBC ;; crisv32:Linux:*:*) GUESS=$UNAME_MACHINE-axis-linux-$LIBC ;; e2k:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; frv:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; hexagon:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; i*86:Linux:*:*) GUESS=$UNAME_MACHINE-pc-linux-$LIBC ;; ia64:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; k1om:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; loongarch32:Linux:*:* | loongarch64:Linux:*:* | loongarchx32:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; m32r*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; m68*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; mips:Linux:*:* | mips64:Linux:*:*) set_cc_for_build IS_GLIBC=0 test x"${LIBC}" = xgnu && IS_GLIBC=1 sed 's/^ //' << EOF > "$dummy.c" #undef CPU #undef mips #undef mipsel #undef mips64 #undef mips64el #if ${IS_GLIBC} && defined(_ABI64) LIBCABI=gnuabi64 #else #if ${IS_GLIBC} && defined(_ABIN32) LIBCABI=gnuabin32 #else LIBCABI=${LIBC} #endif #endif #if ${IS_GLIBC} && defined(__mips64) && defined(__mips_isa_rev) && __mips_isa_rev>=6 CPU=mipsisa64r6 #else #if ${IS_GLIBC} && !defined(__mips64) && defined(__mips_isa_rev) && __mips_isa_rev>=6 CPU=mipsisa32r6 #else #if defined(__mips64) CPU=mips64 #else CPU=mips #endif #endif #endif #if defined(__MIPSEL__) || defined(__MIPSEL) || defined(_MIPSEL) || defined(MIPSEL) MIPS_ENDIAN=el #else #if defined(__MIPSEB__) || defined(__MIPSEB) || defined(_MIPSEB) || defined(MIPSEB) MIPS_ENDIAN= #else MIPS_ENDIAN= #endif #endif EOF cc_set_vars=`$CC_FOR_BUILD -E "$dummy.c" 2>/dev/null | grep '^CPU\|^MIPS_ENDIAN\|^LIBCABI'` eval "$cc_set_vars" test "x$CPU" != x && { echo "$CPU${MIPS_ENDIAN}-unknown-linux-$LIBCABI"; exit; } ;; mips64el:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; openrisc*:Linux:*:*) GUESS=or1k-unknown-linux-$LIBC ;; or32:Linux:*:* | or1k*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; padre:Linux:*:*) GUESS=sparc-unknown-linux-$LIBC ;; parisc64:Linux:*:* | hppa64:Linux:*:*) GUESS=hppa64-unknown-linux-$LIBC ;; parisc:Linux:*:* | hppa:Linux:*:*) # Look for CPU level case `grep '^cpu[^a-z]*:' /proc/cpuinfo 2>/dev/null | cut -d' ' -f2` in PA7*) GUESS=hppa1.1-unknown-linux-$LIBC ;; PA8*) GUESS=hppa2.0-unknown-linux-$LIBC ;; *) GUESS=hppa-unknown-linux-$LIBC ;; esac ;; ppc64:Linux:*:*) GUESS=powerpc64-unknown-linux-$LIBC ;; ppc:Linux:*:*) GUESS=powerpc-unknown-linux-$LIBC ;; ppc64le:Linux:*:*) GUESS=powerpc64le-unknown-linux-$LIBC ;; ppcle:Linux:*:*) GUESS=powerpcle-unknown-linux-$LIBC ;; riscv32:Linux:*:* | riscv32be:Linux:*:* | riscv64:Linux:*:* | riscv64be:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; s390:Linux:*:* | s390x:Linux:*:*) GUESS=$UNAME_MACHINE-ibm-linux-$LIBC ;; sh64*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; sh*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; sparc:Linux:*:* | sparc64:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; tile*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; vax:Linux:*:*) GUESS=$UNAME_MACHINE-dec-linux-$LIBC ;; x86_64:Linux:*:*) set_cc_for_build LIBCABI=$LIBC if test "$CC_FOR_BUILD" != no_compiler_found; then if (echo '#ifdef __ILP32__'; echo IS_X32; echo '#endif') | \ (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ grep IS_X32 >/dev/null then LIBCABI=${LIBC}x32 fi fi GUESS=$UNAME_MACHINE-pc-linux-$LIBCABI ;; xtensa*:Linux:*:*) GUESS=$UNAME_MACHINE-unknown-linux-$LIBC ;; i*86:DYNIX/ptx:4*:*) # ptx 4.0 does uname -s correctly, with DYNIX/ptx in there. # earlier versions are messed up and put the nodename in both # sysname and nodename. GUESS=i386-sequent-sysv4 ;; i*86:UNIX_SV:4.2MP:2.*) # Unixware is an offshoot of SVR4, but it has its own version # number series starting with 2... # I am not positive that other SVR4 systems won't match this, # I just have to hope. -- rms. # Use sysv4.2uw... so that sysv4* matches it. GUESS=$UNAME_MACHINE-pc-sysv4.2uw$UNAME_VERSION ;; i*86:OS/2:*:*) # If we were able to find `uname', then EMX Unix compatibility # is probably installed. GUESS=$UNAME_MACHINE-pc-os2-emx ;; i*86:XTS-300:*:STOP) GUESS=$UNAME_MACHINE-unknown-stop ;; i*86:atheos:*:*) GUESS=$UNAME_MACHINE-unknown-atheos ;; i*86:syllable:*:*) GUESS=$UNAME_MACHINE-pc-syllable ;; i*86:LynxOS:2.*:* | i*86:LynxOS:3.[01]*:* | i*86:LynxOS:4.[02]*:*) GUESS=i386-unknown-lynxos$UNAME_RELEASE ;; i*86:*DOS:*:*) GUESS=$UNAME_MACHINE-pc-msdosdjgpp ;; i*86:*:4.*:*) UNAME_REL=`echo "$UNAME_RELEASE" | sed 's/\/MP$//'` if grep Novell /usr/include/link.h >/dev/null 2>/dev/null; then GUESS=$UNAME_MACHINE-univel-sysv$UNAME_REL else GUESS=$UNAME_MACHINE-pc-sysv$UNAME_REL fi ;; i*86:*:5:[678]*) # UnixWare 7.x, OpenUNIX and OpenServer 6. case `/bin/uname -X | grep "^Machine"` in *486*) UNAME_MACHINE=i486 ;; *Pentium) UNAME_MACHINE=i586 ;; *Pent*|*Celeron) UNAME_MACHINE=i686 ;; esac GUESS=$UNAME_MACHINE-unknown-sysv${UNAME_RELEASE}${UNAME_SYSTEM}${UNAME_VERSION} ;; i*86:*:3.2:*) if test -f /usr/options/cb.name; then UNAME_REL=`sed -n 's/.*Version //p' /dev/null >/dev/null ; then UNAME_REL=`(/bin/uname -X|grep Release|sed -e 's/.*= //')` (/bin/uname -X|grep i80486 >/dev/null) && UNAME_MACHINE=i486 (/bin/uname -X|grep '^Machine.*Pentium' >/dev/null) \ && UNAME_MACHINE=i586 (/bin/uname -X|grep '^Machine.*Pent *II' >/dev/null) \ && UNAME_MACHINE=i686 (/bin/uname -X|grep '^Machine.*Pentium Pro' >/dev/null) \ && UNAME_MACHINE=i686 GUESS=$UNAME_MACHINE-pc-sco$UNAME_REL else GUESS=$UNAME_MACHINE-pc-sysv32 fi ;; pc:*:*:*) # Left here for compatibility: # uname -m prints for DJGPP always 'pc', but it prints nothing about # the processor, so we play safe by assuming i586. # Note: whatever this is, it MUST be the same as what config.sub # prints for the "djgpp" host, or else GDB configure will decide that # this is a cross-build. GUESS=i586-pc-msdosdjgpp ;; Intel:Mach:3*:*) GUESS=i386-pc-mach3 ;; paragon:*:*:*) GUESS=i860-intel-osf1 ;; i860:*:4.*:*) # i860-SVR4 if grep Stardent /usr/include/sys/uadmin.h >/dev/null 2>&1 ; then GUESS=i860-stardent-sysv$UNAME_RELEASE # Stardent Vistra i860-SVR4 else # Add other i860-SVR4 vendors below as they are discovered. GUESS=i860-unknown-sysv$UNAME_RELEASE # Unknown i860-SVR4 fi ;; mini*:CTIX:SYS*5:*) # "miniframe" GUESS=m68010-convergent-sysv ;; mc68k:UNIX:SYSTEM5:3.51m) GUESS=m68k-convergent-sysv ;; M680?0:D-NIX:5.3:*) GUESS=m68k-diab-dnix ;; M68*:*:R3V[5678]*:*) test -r /sysV68 && { echo 'm68k-motorola-sysv'; exit; } ;; 3[345]??:*:4.0:3.0 | 3[34]??A:*:4.0:3.0 | 3[34]??,*:*:4.0:3.0 | 3[34]??/*:*:4.0:3.0 | 4400:*:4.0:3.0 | 4850:*:4.0:3.0 | SKA40:*:4.0:3.0 | SDS2:*:4.0:3.0 | SHG2:*:4.0:3.0 | S7501*:*:4.0:3.0) OS_REL='' test -r /etc/.relid \ && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid` /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ && { echo i486-ncr-sysv4.3"$OS_REL"; exit; } /bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \ && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } ;; 3[34]??:*:4.0:* | 3[34]??,*:*:4.0:*) /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ && { echo i486-ncr-sysv4; exit; } ;; NCR*:*:4.2:* | MPRAS*:*:4.2:*) OS_REL='.3' test -r /etc/.relid \ && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid` /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ && { echo i486-ncr-sysv4.3"$OS_REL"; exit; } /bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \ && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } /bin/uname -p 2>/dev/null | /bin/grep pteron >/dev/null \ && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } ;; m68*:LynxOS:2.*:* | m68*:LynxOS:3.0*:*) GUESS=m68k-unknown-lynxos$UNAME_RELEASE ;; mc68030:UNIX_System_V:4.*:*) GUESS=m68k-atari-sysv4 ;; TSUNAMI:LynxOS:2.*:*) GUESS=sparc-unknown-lynxos$UNAME_RELEASE ;; rs6000:LynxOS:2.*:*) GUESS=rs6000-unknown-lynxos$UNAME_RELEASE ;; PowerPC:LynxOS:2.*:* | PowerPC:LynxOS:3.[01]*:* | PowerPC:LynxOS:4.[02]*:*) GUESS=powerpc-unknown-lynxos$UNAME_RELEASE ;; SM[BE]S:UNIX_SV:*:*) GUESS=mips-dde-sysv$UNAME_RELEASE ;; RM*:ReliantUNIX-*:*:*) GUESS=mips-sni-sysv4 ;; RM*:SINIX-*:*:*) GUESS=mips-sni-sysv4 ;; *:SINIX-*:*:*) if uname -p 2>/dev/null >/dev/null ; then UNAME_MACHINE=`(uname -p) 2>/dev/null` GUESS=$UNAME_MACHINE-sni-sysv4 else GUESS=ns32k-sni-sysv fi ;; PENTIUM:*:4.0*:*) # Unisys `ClearPath HMP IX 4000' SVR4/MP effort # says GUESS=i586-unisys-sysv4 ;; *:UNIX_System_V:4*:FTX*) # From Gerald Hewes . # How about differentiating between stratus architectures? -djm GUESS=hppa1.1-stratus-sysv4 ;; *:*:*:FTX*) # From seanf@swdc.stratus.com. GUESS=i860-stratus-sysv4 ;; i*86:VOS:*:*) # From Paul.Green@stratus.com. GUESS=$UNAME_MACHINE-stratus-vos ;; *:VOS:*:*) # From Paul.Green@stratus.com. GUESS=hppa1.1-stratus-vos ;; mc68*:A/UX:*:*) GUESS=m68k-apple-aux$UNAME_RELEASE ;; news*:NEWS-OS:6*:*) GUESS=mips-sony-newsos6 ;; R[34]000:*System_V*:*:* | R4000:UNIX_SYSV:*:* | R*000:UNIX_SV:*:*) if test -d /usr/nec; then GUESS=mips-nec-sysv$UNAME_RELEASE else GUESS=mips-unknown-sysv$UNAME_RELEASE fi ;; BeBox:BeOS:*:*) # BeOS running on hardware made by Be, PPC only. GUESS=powerpc-be-beos ;; BeMac:BeOS:*:*) # BeOS running on Mac or Mac clone, PPC only. GUESS=powerpc-apple-beos ;; BePC:BeOS:*:*) # BeOS running on Intel PC compatible. GUESS=i586-pc-beos ;; BePC:Haiku:*:*) # Haiku running on Intel PC compatible. GUESS=i586-pc-haiku ;; x86_64:Haiku:*:*) GUESS=x86_64-unknown-haiku ;; SX-4:SUPER-UX:*:*) GUESS=sx4-nec-superux$UNAME_RELEASE ;; SX-5:SUPER-UX:*:*) GUESS=sx5-nec-superux$UNAME_RELEASE ;; SX-6:SUPER-UX:*:*) GUESS=sx6-nec-superux$UNAME_RELEASE ;; SX-7:SUPER-UX:*:*) GUESS=sx7-nec-superux$UNAME_RELEASE ;; SX-8:SUPER-UX:*:*) GUESS=sx8-nec-superux$UNAME_RELEASE ;; SX-8R:SUPER-UX:*:*) GUESS=sx8r-nec-superux$UNAME_RELEASE ;; SX-ACE:SUPER-UX:*:*) GUESS=sxace-nec-superux$UNAME_RELEASE ;; Power*:Rhapsody:*:*) GUESS=powerpc-apple-rhapsody$UNAME_RELEASE ;; *:Rhapsody:*:*) GUESS=$UNAME_MACHINE-apple-rhapsody$UNAME_RELEASE ;; arm64:Darwin:*:*) GUESS=aarch64-apple-darwin$UNAME_RELEASE ;; *:Darwin:*:*) UNAME_PROCESSOR=`uname -p` case $UNAME_PROCESSOR in unknown) UNAME_PROCESSOR=powerpc ;; esac if command -v xcode-select > /dev/null 2> /dev/null && \ ! xcode-select --print-path > /dev/null 2> /dev/null ; then # Avoid executing cc if there is no toolchain installed as # cc will be a stub that puts up a graphical alert # prompting the user to install developer tools. CC_FOR_BUILD=no_compiler_found else set_cc_for_build fi if test "$CC_FOR_BUILD" != no_compiler_found; then if (echo '#ifdef __LP64__'; echo IS_64BIT_ARCH; echo '#endif') | \ (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ grep IS_64BIT_ARCH >/dev/null then case $UNAME_PROCESSOR in i386) UNAME_PROCESSOR=x86_64 ;; powerpc) UNAME_PROCESSOR=powerpc64 ;; esac fi # On 10.4-10.6 one might compile for PowerPC via gcc -arch ppc if (echo '#ifdef __POWERPC__'; echo IS_PPC; echo '#endif') | \ (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ grep IS_PPC >/dev/null then UNAME_PROCESSOR=powerpc fi elif test "$UNAME_PROCESSOR" = i386 ; then # uname -m returns i386 or x86_64 UNAME_PROCESSOR=$UNAME_MACHINE fi GUESS=$UNAME_PROCESSOR-apple-darwin$UNAME_RELEASE ;; *:procnto*:*:* | *:QNX:[0123456789]*:*) UNAME_PROCESSOR=`uname -p` if test "$UNAME_PROCESSOR" = x86; then UNAME_PROCESSOR=i386 UNAME_MACHINE=pc fi GUESS=$UNAME_PROCESSOR-$UNAME_MACHINE-nto-qnx$UNAME_RELEASE ;; *:QNX:*:4*) GUESS=i386-pc-qnx ;; NEO-*:NONSTOP_KERNEL:*:*) GUESS=neo-tandem-nsk$UNAME_RELEASE ;; NSE-*:NONSTOP_KERNEL:*:*) GUESS=nse-tandem-nsk$UNAME_RELEASE ;; NSR-*:NONSTOP_KERNEL:*:*) GUESS=nsr-tandem-nsk$UNAME_RELEASE ;; NSV-*:NONSTOP_KERNEL:*:*) GUESS=nsv-tandem-nsk$UNAME_RELEASE ;; NSX-*:NONSTOP_KERNEL:*:*) GUESS=nsx-tandem-nsk$UNAME_RELEASE ;; *:NonStop-UX:*:*) GUESS=mips-compaq-nonstopux ;; BS2000:POSIX*:*:*) GUESS=bs2000-siemens-sysv ;; DS/*:UNIX_System_V:*:*) GUESS=$UNAME_MACHINE-$UNAME_SYSTEM-$UNAME_RELEASE ;; *:Plan9:*:*) # "uname -m" is not consistent, so use $cputype instead. 386 # is converted to i386 for consistency with other x86 # operating systems. if test "${cputype-}" = 386; then UNAME_MACHINE=i386 elif test "x${cputype-}" != x; then UNAME_MACHINE=$cputype fi GUESS=$UNAME_MACHINE-unknown-plan9 ;; *:TOPS-10:*:*) GUESS=pdp10-unknown-tops10 ;; *:TENEX:*:*) GUESS=pdp10-unknown-tenex ;; KS10:TOPS-20:*:* | KL10:TOPS-20:*:* | TYPE4:TOPS-20:*:*) GUESS=pdp10-dec-tops20 ;; XKL-1:TOPS-20:*:* | TYPE5:TOPS-20:*:*) GUESS=pdp10-xkl-tops20 ;; *:TOPS-20:*:*) GUESS=pdp10-unknown-tops20 ;; *:ITS:*:*) GUESS=pdp10-unknown-its ;; SEI:*:*:SEIUX) GUESS=mips-sei-seiux$UNAME_RELEASE ;; *:DragonFly:*:*) DRAGONFLY_REL=`echo "$UNAME_RELEASE" | sed -e 's/[-(].*//'` GUESS=$UNAME_MACHINE-unknown-dragonfly$DRAGONFLY_REL ;; *:*VMS:*:*) UNAME_MACHINE=`(uname -p) 2>/dev/null` case $UNAME_MACHINE in A*) GUESS=alpha-dec-vms ;; I*) GUESS=ia64-dec-vms ;; V*) GUESS=vax-dec-vms ;; esac ;; *:XENIX:*:SysV) GUESS=i386-pc-xenix ;; i*86:skyos:*:*) SKYOS_REL=`echo "$UNAME_RELEASE" | sed -e 's/ .*$//'` GUESS=$UNAME_MACHINE-pc-skyos$SKYOS_REL ;; i*86:rdos:*:*) GUESS=$UNAME_MACHINE-pc-rdos ;; *:AROS:*:*) GUESS=$UNAME_MACHINE-unknown-aros ;; x86_64:VMkernel:*:*) GUESS=$UNAME_MACHINE-unknown-esx ;; amd64:Isilon\ OneFS:*:*) GUESS=x86_64-unknown-onefs ;; *:Unleashed:*:*) GUESS=$UNAME_MACHINE-unknown-unleashed$UNAME_RELEASE ;; esac # Do we have a guess based on uname results? if test "x$GUESS" != x; then echo "$GUESS" exit fi # No uname command or uname output not recognized. set_cc_for_build cat > "$dummy.c" < #include #endif #if defined(ultrix) || defined(_ultrix) || defined(__ultrix) || defined(__ultrix__) #if defined (vax) || defined (__vax) || defined (__vax__) || defined(mips) || defined(__mips) || defined(__mips__) || defined(MIPS) || defined(__MIPS__) #include #if defined(_SIZE_T_) || defined(SIGLOST) #include #endif #endif #endif main () { #if defined (sony) #if defined (MIPSEB) /* BFD wants "bsd" instead of "newsos". Perhaps BFD should be changed, I don't know.... */ printf ("mips-sony-bsd\n"); exit (0); #else #include printf ("m68k-sony-newsos%s\n", #ifdef NEWSOS4 "4" #else "" #endif ); exit (0); #endif #endif #if defined (NeXT) #if !defined (__ARCHITECTURE__) #define __ARCHITECTURE__ "m68k" #endif int version; version=`(hostinfo | sed -n 's/.*NeXT Mach \([0-9]*\).*/\1/p') 2>/dev/null`; if (version < 4) printf ("%s-next-nextstep%d\n", __ARCHITECTURE__, version); else printf ("%s-next-openstep%d\n", __ARCHITECTURE__, version); exit (0); #endif #if defined (MULTIMAX) || defined (n16) #if defined (UMAXV) printf ("ns32k-encore-sysv\n"); exit (0); #else #if defined (CMU) printf ("ns32k-encore-mach\n"); exit (0); #else printf ("ns32k-encore-bsd\n"); exit (0); #endif #endif #endif #if defined (__386BSD__) printf ("i386-pc-bsd\n"); exit (0); #endif #if defined (sequent) #if defined (i386) printf ("i386-sequent-dynix\n"); exit (0); #endif #if defined (ns32000) printf ("ns32k-sequent-dynix\n"); exit (0); #endif #endif #if defined (_SEQUENT_) struct utsname un; uname(&un); if (strncmp(un.version, "V2", 2) == 0) { printf ("i386-sequent-ptx2\n"); exit (0); } if (strncmp(un.version, "V1", 2) == 0) { /* XXX is V1 correct? */ printf ("i386-sequent-ptx1\n"); exit (0); } printf ("i386-sequent-ptx\n"); exit (0); #endif #if defined (vax) #if !defined (ultrix) #include #if defined (BSD) #if BSD == 43 printf ("vax-dec-bsd4.3\n"); exit (0); #else #if BSD == 199006 printf ("vax-dec-bsd4.3reno\n"); exit (0); #else printf ("vax-dec-bsd\n"); exit (0); #endif #endif #else printf ("vax-dec-bsd\n"); exit (0); #endif #else #if defined(_SIZE_T_) || defined(SIGLOST) struct utsname un; uname (&un); printf ("vax-dec-ultrix%s\n", un.release); exit (0); #else printf ("vax-dec-ultrix\n"); exit (0); #endif #endif #endif #if defined(ultrix) || defined(_ultrix) || defined(__ultrix) || defined(__ultrix__) #if defined(mips) || defined(__mips) || defined(__mips__) || defined(MIPS) || defined(__MIPS__) #if defined(_SIZE_T_) || defined(SIGLOST) struct utsname *un; uname (&un); printf ("mips-dec-ultrix%s\n", un.release); exit (0); #else printf ("mips-dec-ultrix\n"); exit (0); #endif #endif #endif #if defined (alliant) && defined (i860) printf ("i860-alliant-bsd\n"); exit (0); #endif exit (1); } EOF $CC_FOR_BUILD -o "$dummy" "$dummy.c" 2>/dev/null && SYSTEM_NAME=`"$dummy"` && { echo "$SYSTEM_NAME"; exit; } # Apollos put the system type in the environment. test -d /usr/apollo && { echo "$ISP-apollo-$SYSTYPE"; exit; } echo "$0: unable to guess system type" >&2 case $UNAME_MACHINE:$UNAME_SYSTEM in mips:Linux | mips64:Linux) # If we got here on MIPS GNU/Linux, output extra information. cat >&2 <&2 <&2 </dev/null || echo unknown` uname -r = `(uname -r) 2>/dev/null || echo unknown` uname -s = `(uname -s) 2>/dev/null || echo unknown` uname -v = `(uname -v) 2>/dev/null || echo unknown` /usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null` /bin/uname -X = `(/bin/uname -X) 2>/dev/null` hostinfo = `(hostinfo) 2>/dev/null` /bin/universe = `(/bin/universe) 2>/dev/null` /usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null` /bin/arch = `(/bin/arch) 2>/dev/null` /usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null` /usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null` UNAME_MACHINE = "$UNAME_MACHINE" UNAME_RELEASE = "$UNAME_RELEASE" UNAME_SYSTEM = "$UNAME_SYSTEM" UNAME_VERSION = "$UNAME_VERSION" EOF fi exit 1 # Local variables: # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-start: "timestamp='" # time-stamp-format: "%:y-%02m-%02d" # time-stamp-end: "'" # End: mpc-1.3.1/build-aux/ltmain.sh0000777000175100017460000121234114344353467012764 00000000000000#!/bin/sh ## DO NOT EDIT - This file generated from ./build-aux/ltmain.in ## by inline-source v2019-02-19.15 # libtool (GNU libtool) 2.4.7 # Provide generalized library-building support services. # Written by Gordon Matzigkeit , 1996 # Copyright (C) 1996-2019, 2021-2022 Free Software Foundation, Inc. # This is free software; see the source for copying conditions. There is NO # warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # GNU Libtool is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of the License, or # (at your option) any later version. # # As a special exception to the GNU General Public License, # if you distribute this file as part of a program or library that # is built using GNU Libtool, you may include this file under the # same distribution terms that you use for the rest of that program. # # GNU Libtool is distributed in the hope that it will be useful, but # WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU # General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . PROGRAM=libtool PACKAGE=libtool VERSION=2.4.7 package_revision=2.4.7 ## ------ ## ## Usage. ## ## ------ ## # Run './libtool --help' for help with using this script from the # command line. ## ------------------------------- ## ## User overridable command paths. ## ## ------------------------------- ## # After configure completes, it has a better idea of some of the # shell tools we need than the defaults used by the functions shared # with bootstrap, so set those here where they can still be over- # ridden by the user, but otherwise take precedence. : ${AUTOCONF="autoconf"} : ${AUTOMAKE="automake"} ## -------------------------- ## ## Source external libraries. ## ## -------------------------- ## # Much of our low-level functionality needs to be sourced from external # libraries, which are installed to $pkgauxdir. # Set a version string for this script. scriptversion=2019-02-19.15; # UTC # General shell script boiler plate, and helper functions. # Written by Gary V. Vaughan, 2004 # This is free software. There is NO warranty; not even for # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # # Copyright (C) 2004-2019, 2021 Bootstrap Authors # # This file is dual licensed under the terms of the MIT license # , and GPL version 2 or later # . You must apply one of # these licenses when using or redistributing this software or any of # the files within it. See the URLs above, or the file `LICENSE` # included in the Bootstrap distribution for the full license texts. # Please report bugs or propose patches to: # ## ------ ## ## Usage. ## ## ------ ## # Evaluate this file near the top of your script to gain access to # the functions and variables defined here: # # . `echo "$0" | ${SED-sed} 's|[^/]*$||'`/build-aux/funclib.sh # # If you need to override any of the default environment variable # settings, do that before evaluating this file. ## -------------------- ## ## Shell normalisation. ## ## -------------------- ## # Some shells need a little help to be as Bourne compatible as possible. # Before doing anything else, make sure all that help has been provided! DUALCASE=1; export DUALCASE # for MKS sh if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' setopt NO_GLOB_SUBST else case `(set -o) 2>/dev/null` in *posix*) set -o posix ;; esac fi # NLS nuisances: We save the old values in case they are required later. _G_user_locale= _G_safe_locale= for _G_var in LANG LANGUAGE LC_ALL LC_CTYPE LC_COLLATE LC_MESSAGES do eval "if test set = \"\${$_G_var+set}\"; then save_$_G_var=\$$_G_var $_G_var=C export $_G_var _G_user_locale=\"$_G_var=\\\$save_\$_G_var; \$_G_user_locale\" _G_safe_locale=\"$_G_var=C; \$_G_safe_locale\" fi" done # These NLS vars are set unconditionally (bootstrap issue #24). Unset those # in case the environment reset is needed later and the $save_* variant is not # defined (see the code above). LC_ALL=C LANGUAGE=C export LANGUAGE LC_ALL # Make sure IFS has a sensible default sp=' ' nl=' ' IFS="$sp $nl" # There are apparently some retarded systems that use ';' as a PATH separator! if test "${PATH_SEPARATOR+set}" != set; then PATH_SEPARATOR=: (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || PATH_SEPARATOR=';' } fi # func_unset VAR # -------------- # Portably unset VAR. # In some shells, an 'unset VAR' statement leaves a non-zero return # status if VAR is already unset, which might be problematic if the # statement is used at the end of a function (thus poisoning its return # value) or when 'set -e' is active (causing even a spurious abort of # the script in this case). func_unset () { { eval $1=; (eval unset $1) >/dev/null 2>&1 && eval unset $1 || : ; } } # Make sure CDPATH doesn't cause `cd` commands to output the target dir. func_unset CDPATH # Make sure ${,E,F}GREP behave sanely. func_unset GREP_OPTIONS ## ------------------------- ## ## Locate command utilities. ## ## ------------------------- ## # func_executable_p FILE # ---------------------- # Check that FILE is an executable regular file. func_executable_p () { test -f "$1" && test -x "$1" } # func_path_progs PROGS_LIST CHECK_FUNC [PATH] # -------------------------------------------- # Search for either a program that responds to --version with output # containing "GNU", or else returned by CHECK_FUNC otherwise, by # trying all the directories in PATH with each of the elements of # PROGS_LIST. # # CHECK_FUNC should accept the path to a candidate program, and # set $func_check_prog_result if it truncates its output less than # $_G_path_prog_max characters. func_path_progs () { _G_progs_list=$1 _G_check_func=$2 _G_PATH=${3-"$PATH"} _G_path_prog_max=0 _G_path_prog_found=false _G_save_IFS=$IFS; IFS=${PATH_SEPARATOR-:} for _G_dir in $_G_PATH; do IFS=$_G_save_IFS test -z "$_G_dir" && _G_dir=. for _G_prog_name in $_G_progs_list; do for _exeext in '' .EXE; do _G_path_prog=$_G_dir/$_G_prog_name$_exeext func_executable_p "$_G_path_prog" || continue case `"$_G_path_prog" --version 2>&1` in *GNU*) func_path_progs_result=$_G_path_prog _G_path_prog_found=: ;; *) $_G_check_func $_G_path_prog func_path_progs_result=$func_check_prog_result ;; esac $_G_path_prog_found && break 3 done done done IFS=$_G_save_IFS test -z "$func_path_progs_result" && { echo "no acceptable sed could be found in \$PATH" >&2 exit 1 } } # We want to be able to use the functions in this file before configure # has figured out where the best binaries are kept, which means we have # to search for them ourselves - except when the results are already set # where we skip the searches. # Unless the user overrides by setting SED, search the path for either GNU # sed, or the sed that truncates its output the least. test -z "$SED" && { _G_sed_script=s/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb/ for _G_i in 1 2 3 4 5 6 7; do _G_sed_script=$_G_sed_script$nl$_G_sed_script done echo "$_G_sed_script" 2>/dev/null | sed 99q >conftest.sed _G_sed_script= func_check_prog_sed () { _G_path_prog=$1 _G_count=0 printf 0123456789 >conftest.in while : do cat conftest.in conftest.in >conftest.tmp mv conftest.tmp conftest.in cp conftest.in conftest.nl echo '' >> conftest.nl "$_G_path_prog" -f conftest.sed conftest.out 2>/dev/null || break diff conftest.out conftest.nl >/dev/null 2>&1 || break _G_count=`expr $_G_count + 1` if test "$_G_count" -gt "$_G_path_prog_max"; then # Best one so far, save it but keep looking for a better one func_check_prog_result=$_G_path_prog _G_path_prog_max=$_G_count fi # 10*(2^10) chars as input seems more than enough test 10 -lt "$_G_count" && break done rm -f conftest.in conftest.tmp conftest.nl conftest.out } func_path_progs "sed gsed" func_check_prog_sed "$PATH:/usr/xpg4/bin" rm -f conftest.sed SED=$func_path_progs_result } # Unless the user overrides by setting GREP, search the path for either GNU # grep, or the grep that truncates its output the least. test -z "$GREP" && { func_check_prog_grep () { _G_path_prog=$1 _G_count=0 _G_path_prog_max=0 printf 0123456789 >conftest.in while : do cat conftest.in conftest.in >conftest.tmp mv conftest.tmp conftest.in cp conftest.in conftest.nl echo 'GREP' >> conftest.nl "$_G_path_prog" -e 'GREP$' -e '-(cannot match)-' conftest.out 2>/dev/null || break diff conftest.out conftest.nl >/dev/null 2>&1 || break _G_count=`expr $_G_count + 1` if test "$_G_count" -gt "$_G_path_prog_max"; then # Best one so far, save it but keep looking for a better one func_check_prog_result=$_G_path_prog _G_path_prog_max=$_G_count fi # 10*(2^10) chars as input seems more than enough test 10 -lt "$_G_count" && break done rm -f conftest.in conftest.tmp conftest.nl conftest.out } func_path_progs "grep ggrep" func_check_prog_grep "$PATH:/usr/xpg4/bin" GREP=$func_path_progs_result } ## ------------------------------- ## ## User overridable command paths. ## ## ------------------------------- ## # All uppercase variable names are used for environment variables. These # variables can be overridden by the user before calling a script that # uses them if a suitable command of that name is not already available # in the command search PATH. : ${CP="cp -f"} : ${ECHO="printf %s\n"} : ${EGREP="$GREP -E"} : ${FGREP="$GREP -F"} : ${LN_S="ln -s"} : ${MAKE="make"} : ${MKDIR="mkdir"} : ${MV="mv -f"} : ${RM="rm -f"} : ${SHELL="${CONFIG_SHELL-/bin/sh}"} ## -------------------- ## ## Useful sed snippets. ## ## -------------------- ## sed_dirname='s|/[^/]*$||' sed_basename='s|^.*/||' # Sed substitution that helps us do robust quoting. It backslashifies # metacharacters that are still active within double-quoted strings. sed_quote_subst='s|\([`"$\\]\)|\\\1|g' # Same as above, but do not quote variable references. sed_double_quote_subst='s/\(["`\\]\)/\\\1/g' # Sed substitution that turns a string into a regex matching for the # string literally. sed_make_literal_regex='s|[].[^$\\*\/]|\\&|g' # Sed substitution that converts a w32 file name or path # that contains forward slashes, into one that contains # (escaped) backslashes. A very naive implementation. sed_naive_backslashify='s|\\\\*|\\|g;s|/|\\|g;s|\\|\\\\|g' # Re-'\' parameter expansions in output of sed_double_quote_subst that # were '\'-ed in input to the same. If an odd number of '\' preceded a # '$' in input to sed_double_quote_subst, that '$' was protected from # expansion. Since each input '\' is now two '\'s, look for any number # of runs of four '\'s followed by two '\'s and then a '$'. '\' that '$'. _G_bs='\\' _G_bs2='\\\\' _G_bs4='\\\\\\\\' _G_dollar='\$' sed_double_backslash="\ s/$_G_bs4/&\\ /g s/^$_G_bs2$_G_dollar/$_G_bs&/ s/\\([^$_G_bs]\\)$_G_bs2$_G_dollar/\\1$_G_bs2$_G_bs$_G_dollar/g s/\n//g" # require_check_ifs_backslash # --------------------------- # Check if we can use backslash as IFS='\' separator, and set # $check_ifs_backshlash_broken to ':' or 'false'. require_check_ifs_backslash=func_require_check_ifs_backslash func_require_check_ifs_backslash () { _G_save_IFS=$IFS IFS='\' _G_check_ifs_backshlash='a\\b' for _G_i in $_G_check_ifs_backshlash do case $_G_i in a) check_ifs_backshlash_broken=false ;; '') break ;; *) check_ifs_backshlash_broken=: break ;; esac done IFS=$_G_save_IFS require_check_ifs_backslash=: } ## ----------------- ## ## Global variables. ## ## ----------------- ## # Except for the global variables explicitly listed below, the following # functions in the '^func_' namespace, and the '^require_' namespace # variables initialised in the 'Resource management' section, sourcing # this file will not pollute your global namespace with anything # else. There's no portable way to scope variables in Bourne shell # though, so actually running these functions will sometimes place # results into a variable named after the function, and often use # temporary variables in the '^_G_' namespace. If you are careful to # avoid using those namespaces casually in your sourcing script, things # should continue to work as you expect. And, of course, you can freely # overwrite any of the functions or variables defined here before # calling anything to customize them. EXIT_SUCCESS=0 EXIT_FAILURE=1 EXIT_MISMATCH=63 # $? = 63 is used to indicate version mismatch to missing. EXIT_SKIP=77 # $? = 77 is used to indicate a skipped test to automake. # Allow overriding, eg assuming that you follow the convention of # putting '$debug_cmd' at the start of all your functions, you can get # bash to show function call trace with: # # debug_cmd='eval echo "${FUNCNAME[0]} $*" >&2' bash your-script-name debug_cmd=${debug_cmd-":"} exit_cmd=: # By convention, finish your script with: # # exit $exit_status # # so that you can set exit_status to non-zero if you want to indicate # something went wrong during execution without actually bailing out at # the point of failure. exit_status=$EXIT_SUCCESS # Work around backward compatibility issue on IRIX 6.5. On IRIX 6.4+, sh # is ksh but when the shell is invoked as "sh" and the current value of # the _XPG environment variable is not equal to 1 (one), the special # positional parameter $0, within a function call, is the name of the # function. progpath=$0 # The name of this program. progname=`$ECHO "$progpath" |$SED "$sed_basename"` # Make sure we have an absolute progpath for reexecution: case $progpath in [\\/]*|[A-Za-z]:\\*) ;; *[\\/]*) progdir=`$ECHO "$progpath" |$SED "$sed_dirname"` progdir=`cd "$progdir" && pwd` progpath=$progdir/$progname ;; *) _G_IFS=$IFS IFS=${PATH_SEPARATOR-:} for progdir in $PATH; do IFS=$_G_IFS test -x "$progdir/$progname" && break done IFS=$_G_IFS test -n "$progdir" || progdir=`pwd` progpath=$progdir/$progname ;; esac ## ----------------- ## ## Standard options. ## ## ----------------- ## # The following options affect the operation of the functions defined # below, and should be set appropriately depending on run-time para- # meters passed on the command line. opt_dry_run=false opt_quiet=false opt_verbose=false # Categories 'all' and 'none' are always available. Append any others # you will pass as the first argument to func_warning from your own # code. warning_categories= # By default, display warnings according to 'opt_warning_types'. Set # 'warning_func' to ':' to elide all warnings, or func_fatal_error to # treat the next displayed warning as a fatal error. warning_func=func_warn_and_continue # Set to 'all' to display all warnings, 'none' to suppress all # warnings, or a space delimited list of some subset of # 'warning_categories' to display only the listed warnings. opt_warning_types=all ## -------------------- ## ## Resource management. ## ## -------------------- ## # This section contains definitions for functions that each ensure a # particular resource (a file, or a non-empty configuration variable for # example) is available, and if appropriate to extract default values # from pertinent package files. Call them using their associated # 'require_*' variable to ensure that they are executed, at most, once. # # It's entirely deliberate that calling these functions can set # variables that don't obey the namespace limitations obeyed by the rest # of this file, in order that that they be as useful as possible to # callers. # require_term_colors # ------------------- # Allow display of bold text on terminals that support it. require_term_colors=func_require_term_colors func_require_term_colors () { $debug_cmd test -t 1 && { # COLORTERM and USE_ANSI_COLORS environment variables take # precedence, because most terminfo databases neglect to describe # whether color sequences are supported. test -n "${COLORTERM+set}" && : ${USE_ANSI_COLORS="1"} if test 1 = "$USE_ANSI_COLORS"; then # Standard ANSI escape sequences tc_reset='' tc_bold=''; tc_standout='' tc_red=''; tc_green='' tc_blue=''; tc_cyan='' else # Otherwise trust the terminfo database after all. test -n "`tput sgr0 2>/dev/null`" && { tc_reset=`tput sgr0` test -n "`tput bold 2>/dev/null`" && tc_bold=`tput bold` tc_standout=$tc_bold test -n "`tput smso 2>/dev/null`" && tc_standout=`tput smso` test -n "`tput setaf 1 2>/dev/null`" && tc_red=`tput setaf 1` test -n "`tput setaf 2 2>/dev/null`" && tc_green=`tput setaf 2` test -n "`tput setaf 4 2>/dev/null`" && tc_blue=`tput setaf 4` test -n "`tput setaf 5 2>/dev/null`" && tc_cyan=`tput setaf 5` } fi } require_term_colors=: } ## ----------------- ## ## Function library. ## ## ----------------- ## # This section contains a variety of useful functions to call in your # scripts. Take note of the portable wrappers for features provided by # some modern shells, which will fall back to slower equivalents on # less featureful shells. # func_append VAR VALUE # --------------------- # Append VALUE onto the existing contents of VAR. # We should try to minimise forks, especially on Windows where they are # unreasonably slow, so skip the feature probes when bash or zsh are # being used: if test set = "${BASH_VERSION+set}${ZSH_VERSION+set}"; then : ${_G_HAVE_ARITH_OP="yes"} : ${_G_HAVE_XSI_OPS="yes"} # The += operator was introduced in bash 3.1 case $BASH_VERSION in [12].* | 3.0 | 3.0*) ;; *) : ${_G_HAVE_PLUSEQ_OP="yes"} ;; esac fi # _G_HAVE_PLUSEQ_OP # Can be empty, in which case the shell is probed, "yes" if += is # useable or anything else if it does not work. test -z "$_G_HAVE_PLUSEQ_OP" \ && (eval 'x=a; x+=" b"; test "a b" = "$x"') 2>/dev/null \ && _G_HAVE_PLUSEQ_OP=yes if test yes = "$_G_HAVE_PLUSEQ_OP" then # This is an XSI compatible shell, allowing a faster implementation... eval 'func_append () { $debug_cmd eval "$1+=\$2" }' else # ...otherwise fall back to using expr, which is often a shell builtin. func_append () { $debug_cmd eval "$1=\$$1\$2" } fi # func_append_quoted VAR VALUE # ---------------------------- # Quote VALUE and append to the end of shell variable VAR, separated # by a space. if test yes = "$_G_HAVE_PLUSEQ_OP"; then eval 'func_append_quoted () { $debug_cmd func_quote_arg pretty "$2" eval "$1+=\\ \$func_quote_arg_result" }' else func_append_quoted () { $debug_cmd func_quote_arg pretty "$2" eval "$1=\$$1\\ \$func_quote_arg_result" } fi # func_append_uniq VAR VALUE # -------------------------- # Append unique VALUE onto the existing contents of VAR, assuming # entries are delimited by the first character of VALUE. For example: # # func_append_uniq options " --another-option option-argument" # # will only append to $options if " --another-option option-argument " # is not already present somewhere in $options already (note spaces at # each end implied by leading space in second argument). func_append_uniq () { $debug_cmd eval _G_current_value='`$ECHO $'$1'`' _G_delim=`expr "$2" : '\(.\)'` case $_G_delim$_G_current_value$_G_delim in *"$2$_G_delim"*) ;; *) func_append "$@" ;; esac } # func_arith TERM... # ------------------ # Set func_arith_result to the result of evaluating TERMs. test -z "$_G_HAVE_ARITH_OP" \ && (eval 'test 2 = $(( 1 + 1 ))') 2>/dev/null \ && _G_HAVE_ARITH_OP=yes if test yes = "$_G_HAVE_ARITH_OP"; then eval 'func_arith () { $debug_cmd func_arith_result=$(( $* )) }' else func_arith () { $debug_cmd func_arith_result=`expr "$@"` } fi # func_basename FILE # ------------------ # Set func_basename_result to FILE with everything up to and including # the last / stripped. if test yes = "$_G_HAVE_XSI_OPS"; then # If this shell supports suffix pattern removal, then use it to avoid # forking. Hide the definitions single quotes in case the shell chokes # on unsupported syntax... _b='func_basename_result=${1##*/}' _d='case $1 in */*) func_dirname_result=${1%/*}$2 ;; * ) func_dirname_result=$3 ;; esac' else # ...otherwise fall back to using sed. _b='func_basename_result=`$ECHO "$1" |$SED "$sed_basename"`' _d='func_dirname_result=`$ECHO "$1" |$SED "$sed_dirname"` if test "X$func_dirname_result" = "X$1"; then func_dirname_result=$3 else func_append func_dirname_result "$2" fi' fi eval 'func_basename () { $debug_cmd '"$_b"' }' # func_dirname FILE APPEND NONDIR_REPLACEMENT # ------------------------------------------- # Compute the dirname of FILE. If nonempty, add APPEND to the result, # otherwise set result to NONDIR_REPLACEMENT. eval 'func_dirname () { $debug_cmd '"$_d"' }' # func_dirname_and_basename FILE APPEND NONDIR_REPLACEMENT # -------------------------------------------------------- # Perform func_basename and func_dirname in a single function # call: # dirname: Compute the dirname of FILE. If nonempty, # add APPEND to the result, otherwise set result # to NONDIR_REPLACEMENT. # value returned in "$func_dirname_result" # basename: Compute filename of FILE. # value retuned in "$func_basename_result" # For efficiency, we do not delegate to the functions above but instead # duplicate the functionality here. eval 'func_dirname_and_basename () { $debug_cmd '"$_b"' '"$_d"' }' # func_echo ARG... # ---------------- # Echo program name prefixed message. func_echo () { $debug_cmd _G_message=$* func_echo_IFS=$IFS IFS=$nl for _G_line in $_G_message; do IFS=$func_echo_IFS $ECHO "$progname: $_G_line" done IFS=$func_echo_IFS } # func_echo_all ARG... # -------------------- # Invoke $ECHO with all args, space-separated. func_echo_all () { $ECHO "$*" } # func_echo_infix_1 INFIX ARG... # ------------------------------ # Echo program name, followed by INFIX on the first line, with any # additional lines not showing INFIX. func_echo_infix_1 () { $debug_cmd $require_term_colors _G_infix=$1; shift _G_indent=$_G_infix _G_prefix="$progname: $_G_infix: " _G_message=$* # Strip color escape sequences before counting printable length for _G_tc in "$tc_reset" "$tc_bold" "$tc_standout" "$tc_red" "$tc_green" "$tc_blue" "$tc_cyan" do test -n "$_G_tc" && { _G_esc_tc=`$ECHO "$_G_tc" | $SED "$sed_make_literal_regex"` _G_indent=`$ECHO "$_G_indent" | $SED "s|$_G_esc_tc||g"` } done _G_indent="$progname: "`echo "$_G_indent" | $SED 's|.| |g'`" " ## exclude from sc_prohibit_nested_quotes func_echo_infix_1_IFS=$IFS IFS=$nl for _G_line in $_G_message; do IFS=$func_echo_infix_1_IFS $ECHO "$_G_prefix$tc_bold$_G_line$tc_reset" >&2 _G_prefix=$_G_indent done IFS=$func_echo_infix_1_IFS } # func_error ARG... # ----------------- # Echo program name prefixed message to standard error. func_error () { $debug_cmd $require_term_colors func_echo_infix_1 " $tc_standout${tc_red}error$tc_reset" "$*" >&2 } # func_fatal_error ARG... # ----------------------- # Echo program name prefixed message to standard error, and exit. func_fatal_error () { $debug_cmd func_error "$*" exit $EXIT_FAILURE } # func_grep EXPRESSION FILENAME # ----------------------------- # Check whether EXPRESSION matches any line of FILENAME, without output. func_grep () { $debug_cmd $GREP "$1" "$2" >/dev/null 2>&1 } # func_len STRING # --------------- # Set func_len_result to the length of STRING. STRING may not # start with a hyphen. test -z "$_G_HAVE_XSI_OPS" \ && (eval 'x=a/b/c; test 5aa/bb/cc = "${#x}${x%%/*}${x%/*}${x#*/}${x##*/}"') 2>/dev/null \ && _G_HAVE_XSI_OPS=yes if test yes = "$_G_HAVE_XSI_OPS"; then eval 'func_len () { $debug_cmd func_len_result=${#1} }' else func_len () { $debug_cmd func_len_result=`expr "$1" : ".*" 2>/dev/null || echo $max_cmd_len` } fi # func_mkdir_p DIRECTORY-PATH # --------------------------- # Make sure the entire path to DIRECTORY-PATH is available. func_mkdir_p () { $debug_cmd _G_directory_path=$1 _G_dir_list= if test -n "$_G_directory_path" && test : != "$opt_dry_run"; then # Protect directory names starting with '-' case $_G_directory_path in -*) _G_directory_path=./$_G_directory_path ;; esac # While some portion of DIR does not yet exist... while test ! -d "$_G_directory_path"; do # ...make a list in topmost first order. Use a colon delimited # list incase some portion of path contains whitespace. _G_dir_list=$_G_directory_path:$_G_dir_list # If the last portion added has no slash in it, the list is done case $_G_directory_path in */*) ;; *) break ;; esac # ...otherwise throw away the child directory and loop _G_directory_path=`$ECHO "$_G_directory_path" | $SED -e "$sed_dirname"` done _G_dir_list=`$ECHO "$_G_dir_list" | $SED 's|:*$||'` func_mkdir_p_IFS=$IFS; IFS=: for _G_dir in $_G_dir_list; do IFS=$func_mkdir_p_IFS # mkdir can fail with a 'File exist' error if two processes # try to create one of the directories concurrently. Don't # stop in that case! $MKDIR "$_G_dir" 2>/dev/null || : done IFS=$func_mkdir_p_IFS # Bail out if we (or some other process) failed to create a directory. test -d "$_G_directory_path" || \ func_fatal_error "Failed to create '$1'" fi } # func_mktempdir [BASENAME] # ------------------------- # Make a temporary directory that won't clash with other running # libtool processes, and avoids race conditions if possible. If # given, BASENAME is the basename for that directory. func_mktempdir () { $debug_cmd _G_template=${TMPDIR-/tmp}/${1-$progname} if test : = "$opt_dry_run"; then # Return a directory name, but don't create it in dry-run mode _G_tmpdir=$_G_template-$$ else # If mktemp works, use that first and foremost _G_tmpdir=`mktemp -d "$_G_template-XXXXXXXX" 2>/dev/null` if test ! -d "$_G_tmpdir"; then # Failing that, at least try and use $RANDOM to avoid a race _G_tmpdir=$_G_template-${RANDOM-0}$$ func_mktempdir_umask=`umask` umask 0077 $MKDIR "$_G_tmpdir" umask $func_mktempdir_umask fi # If we're not in dry-run mode, bomb out on failure test -d "$_G_tmpdir" || \ func_fatal_error "cannot create temporary directory '$_G_tmpdir'" fi $ECHO "$_G_tmpdir" } # func_normal_abspath PATH # ------------------------ # Remove doubled-up and trailing slashes, "." path components, # and cancel out any ".." path components in PATH after making # it an absolute path. func_normal_abspath () { $debug_cmd # These SED scripts presuppose an absolute path with a trailing slash. _G_pathcar='s|^/\([^/]*\).*$|\1|' _G_pathcdr='s|^/[^/]*||' _G_removedotparts=':dotsl s|/\./|/|g t dotsl s|/\.$|/|' _G_collapseslashes='s|/\{1,\}|/|g' _G_finalslash='s|/*$|/|' # Start from root dir and reassemble the path. func_normal_abspath_result= func_normal_abspath_tpath=$1 func_normal_abspath_altnamespace= case $func_normal_abspath_tpath in "") # Empty path, that just means $cwd. func_stripname '' '/' "`pwd`" func_normal_abspath_result=$func_stripname_result return ;; # The next three entries are used to spot a run of precisely # two leading slashes without using negated character classes; # we take advantage of case's first-match behaviour. ///*) # Unusual form of absolute path, do nothing. ;; //*) # Not necessarily an ordinary path; POSIX reserves leading '//' # and for example Cygwin uses it to access remote file shares # over CIFS/SMB, so we conserve a leading double slash if found. func_normal_abspath_altnamespace=/ ;; /*) # Absolute path, do nothing. ;; *) # Relative path, prepend $cwd. func_normal_abspath_tpath=`pwd`/$func_normal_abspath_tpath ;; esac # Cancel out all the simple stuff to save iterations. We also want # the path to end with a slash for ease of parsing, so make sure # there is one (and only one) here. func_normal_abspath_tpath=`$ECHO "$func_normal_abspath_tpath" | $SED \ -e "$_G_removedotparts" -e "$_G_collapseslashes" -e "$_G_finalslash"` while :; do # Processed it all yet? if test / = "$func_normal_abspath_tpath"; then # If we ascended to the root using ".." the result may be empty now. if test -z "$func_normal_abspath_result"; then func_normal_abspath_result=/ fi break fi func_normal_abspath_tcomponent=`$ECHO "$func_normal_abspath_tpath" | $SED \ -e "$_G_pathcar"` func_normal_abspath_tpath=`$ECHO "$func_normal_abspath_tpath" | $SED \ -e "$_G_pathcdr"` # Figure out what to do with it case $func_normal_abspath_tcomponent in "") # Trailing empty path component, ignore it. ;; ..) # Parent dir; strip last assembled component from result. func_dirname "$func_normal_abspath_result" func_normal_abspath_result=$func_dirname_result ;; *) # Actual path component, append it. func_append func_normal_abspath_result "/$func_normal_abspath_tcomponent" ;; esac done # Restore leading double-slash if one was found on entry. func_normal_abspath_result=$func_normal_abspath_altnamespace$func_normal_abspath_result } # func_notquiet ARG... # -------------------- # Echo program name prefixed message only when not in quiet mode. func_notquiet () { $debug_cmd $opt_quiet || func_echo ${1+"$@"} # A bug in bash halts the script if the last line of a function # fails when set -e is in force, so we need another command to # work around that: : } # func_relative_path SRCDIR DSTDIR # -------------------------------- # Set func_relative_path_result to the relative path from SRCDIR to DSTDIR. func_relative_path () { $debug_cmd func_relative_path_result= func_normal_abspath "$1" func_relative_path_tlibdir=$func_normal_abspath_result func_normal_abspath "$2" func_relative_path_tbindir=$func_normal_abspath_result # Ascend the tree starting from libdir while :; do # check if we have found a prefix of bindir case $func_relative_path_tbindir in $func_relative_path_tlibdir) # found an exact match func_relative_path_tcancelled= break ;; $func_relative_path_tlibdir*) # found a matching prefix func_stripname "$func_relative_path_tlibdir" '' "$func_relative_path_tbindir" func_relative_path_tcancelled=$func_stripname_result if test -z "$func_relative_path_result"; then func_relative_path_result=. fi break ;; *) func_dirname $func_relative_path_tlibdir func_relative_path_tlibdir=$func_dirname_result if test -z "$func_relative_path_tlibdir"; then # Have to descend all the way to the root! func_relative_path_result=../$func_relative_path_result func_relative_path_tcancelled=$func_relative_path_tbindir break fi func_relative_path_result=../$func_relative_path_result ;; esac done # Now calculate path; take care to avoid doubling-up slashes. func_stripname '' '/' "$func_relative_path_result" func_relative_path_result=$func_stripname_result func_stripname '/' '/' "$func_relative_path_tcancelled" if test -n "$func_stripname_result"; then func_append func_relative_path_result "/$func_stripname_result" fi # Normalisation. If bindir is libdir, return '.' else relative path. if test -n "$func_relative_path_result"; then func_stripname './' '' "$func_relative_path_result" func_relative_path_result=$func_stripname_result fi test -n "$func_relative_path_result" || func_relative_path_result=. : } # func_quote_portable EVAL ARG # ---------------------------- # Internal function to portably implement func_quote_arg. Note that we still # keep attention to performance here so we as much as possible try to avoid # calling sed binary (so far O(N) complexity as long as func_append is O(1)). func_quote_portable () { $debug_cmd $require_check_ifs_backslash func_quote_portable_result=$2 # one-time-loop (easy break) while true do if $1; then func_quote_portable_result=`$ECHO "$2" | $SED \ -e "$sed_double_quote_subst" -e "$sed_double_backslash"` break fi # Quote for eval. case $func_quote_portable_result in *[\\\`\"\$]*) # Fallback to sed for $func_check_bs_ifs_broken=:, or when the string # contains the shell wildcard characters. case $check_ifs_backshlash_broken$func_quote_portable_result in :*|*[\[\*\?]*) func_quote_portable_result=`$ECHO "$func_quote_portable_result" \ | $SED "$sed_quote_subst"` break ;; esac func_quote_portable_old_IFS=$IFS for _G_char in '\' '`' '"' '$' do # STATE($1) PREV($2) SEPARATOR($3) set start "" "" func_quote_portable_result=dummy"$_G_char$func_quote_portable_result$_G_char"dummy IFS=$_G_char for _G_part in $func_quote_portable_result do case $1 in quote) func_append func_quote_portable_result "$3$2" set quote "$_G_part" "\\$_G_char" ;; start) set first "" "" func_quote_portable_result= ;; first) set quote "$_G_part" "" ;; esac done done IFS=$func_quote_portable_old_IFS ;; *) ;; esac break done func_quote_portable_unquoted_result=$func_quote_portable_result case $func_quote_portable_result in # double-quote args containing shell metacharacters to delay # word splitting, command substitution and variable expansion # for a subsequent eval. # many bourne shells cannot handle close brackets correctly # in scan sets, so we specify it separately. *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") func_quote_portable_result=\"$func_quote_portable_result\" ;; esac } # func_quotefast_eval ARG # ----------------------- # Quote one ARG (internal). This is equivalent to 'func_quote_arg eval ARG', # but optimized for speed. Result is stored in $func_quotefast_eval. if test xyes = `(x=; printf -v x %q yes; echo x"$x") 2>/dev/null`; then printf -v _GL_test_printf_tilde %q '~' if test '\~' = "$_GL_test_printf_tilde"; then func_quotefast_eval () { printf -v func_quotefast_eval_result %q "$1" } else # Broken older Bash implementations. Make those faster too if possible. func_quotefast_eval () { case $1 in '~'*) func_quote_portable false "$1" func_quotefast_eval_result=$func_quote_portable_result ;; *) printf -v func_quotefast_eval_result %q "$1" ;; esac } fi else func_quotefast_eval () { func_quote_portable false "$1" func_quotefast_eval_result=$func_quote_portable_result } fi # func_quote_arg MODEs ARG # ------------------------ # Quote one ARG to be evaled later. MODEs argument may contain zero or more # specifiers listed below separated by ',' character. This function returns two # values: # i) func_quote_arg_result # double-quoted (when needed), suitable for a subsequent eval # ii) func_quote_arg_unquoted_result # has all characters that are still active within double # quotes backslashified. Available only if 'unquoted' is specified. # # Available modes: # ---------------- # 'eval' (default) # - escape shell special characters # 'expand' # - the same as 'eval'; but do not quote variable references # 'pretty' # - request aesthetic output, i.e. '"a b"' instead of 'a\ b'. This might # be used later in func_quote to get output like: 'echo "a b"' instead # of 'echo a\ b'. This is slower than default on some shells. # 'unquoted' # - produce also $func_quote_arg_unquoted_result which does not contain # wrapping double-quotes. # # Examples for 'func_quote_arg pretty,unquoted string': # # string | *_result | *_unquoted_result # ------------+-----------------------+------------------- # " | \" | \" # a b | "a b" | a b # "a b" | "\"a b\"" | \"a b\" # * | "*" | * # z="${x-$y}" | "z=\"\${x-\$y}\"" | z=\"\${x-\$y}\" # # Examples for 'func_quote_arg pretty,unquoted,expand string': # # string | *_result | *_unquoted_result # --------------+---------------------+-------------------- # z="${x-$y}" | "z=\"${x-$y}\"" | z=\"${x-$y}\" func_quote_arg () { _G_quote_expand=false case ,$1, in *,expand,*) _G_quote_expand=: ;; esac case ,$1, in *,pretty,*|*,expand,*|*,unquoted,*) func_quote_portable $_G_quote_expand "$2" func_quote_arg_result=$func_quote_portable_result func_quote_arg_unquoted_result=$func_quote_portable_unquoted_result ;; *) # Faster quote-for-eval for some shells. func_quotefast_eval "$2" func_quote_arg_result=$func_quotefast_eval_result ;; esac } # func_quote MODEs ARGs... # ------------------------ # Quote all ARGs to be evaled later and join them into single command. See # func_quote_arg's description for more info. func_quote () { $debug_cmd _G_func_quote_mode=$1 ; shift func_quote_result= while test 0 -lt $#; do func_quote_arg "$_G_func_quote_mode" "$1" if test -n "$func_quote_result"; then func_append func_quote_result " $func_quote_arg_result" else func_append func_quote_result "$func_quote_arg_result" fi shift done } # func_stripname PREFIX SUFFIX NAME # --------------------------------- # strip PREFIX and SUFFIX from NAME, and store in func_stripname_result. # PREFIX and SUFFIX must not contain globbing or regex special # characters, hashes, percent signs, but SUFFIX may contain a leading # dot (in which case that matches only a dot). if test yes = "$_G_HAVE_XSI_OPS"; then eval 'func_stripname () { $debug_cmd # pdksh 5.2.14 does not do ${X%$Y} correctly if both X and Y are # positional parameters, so assign one to ordinary variable first. func_stripname_result=$3 func_stripname_result=${func_stripname_result#"$1"} func_stripname_result=${func_stripname_result%"$2"} }' else func_stripname () { $debug_cmd case $2 in .*) func_stripname_result=`$ECHO "$3" | $SED -e "s%^$1%%" -e "s%\\\\$2\$%%"`;; *) func_stripname_result=`$ECHO "$3" | $SED -e "s%^$1%%" -e "s%$2\$%%"`;; esac } fi # func_show_eval CMD [FAIL_EXP] # ----------------------------- # Unless opt_quiet is true, then output CMD. Then, if opt_dryrun is # not true, evaluate CMD. If the evaluation of CMD fails, and FAIL_EXP # is given, then evaluate it. func_show_eval () { $debug_cmd _G_cmd=$1 _G_fail_exp=${2-':'} func_quote_arg pretty,expand "$_G_cmd" eval "func_notquiet $func_quote_arg_result" $opt_dry_run || { eval "$_G_cmd" _G_status=$? if test 0 -ne "$_G_status"; then eval "(exit $_G_status); $_G_fail_exp" fi } } # func_show_eval_locale CMD [FAIL_EXP] # ------------------------------------ # Unless opt_quiet is true, then output CMD. Then, if opt_dryrun is # not true, evaluate CMD. If the evaluation of CMD fails, and FAIL_EXP # is given, then evaluate it. Use the saved locale for evaluation. func_show_eval_locale () { $debug_cmd _G_cmd=$1 _G_fail_exp=${2-':'} $opt_quiet || { func_quote_arg expand,pretty "$_G_cmd" eval "func_echo $func_quote_arg_result" } $opt_dry_run || { eval "$_G_user_locale $_G_cmd" _G_status=$? eval "$_G_safe_locale" if test 0 -ne "$_G_status"; then eval "(exit $_G_status); $_G_fail_exp" fi } } # func_tr_sh # ---------- # Turn $1 into a string suitable for a shell variable name. # Result is stored in $func_tr_sh_result. All characters # not in the set a-zA-Z0-9_ are replaced with '_'. Further, # if $1 begins with a digit, a '_' is prepended as well. func_tr_sh () { $debug_cmd case $1 in [0-9]* | *[!a-zA-Z0-9_]*) func_tr_sh_result=`$ECHO "$1" | $SED -e 's/^\([0-9]\)/_\1/' -e 's/[^a-zA-Z0-9_]/_/g'` ;; * ) func_tr_sh_result=$1 ;; esac } # func_verbose ARG... # ------------------- # Echo program name prefixed message in verbose mode only. func_verbose () { $debug_cmd $opt_verbose && func_echo "$*" : } # func_warn_and_continue ARG... # ----------------------------- # Echo program name prefixed warning message to standard error. func_warn_and_continue () { $debug_cmd $require_term_colors func_echo_infix_1 "${tc_red}warning$tc_reset" "$*" >&2 } # func_warning CATEGORY ARG... # ---------------------------- # Echo program name prefixed warning message to standard error. Warning # messages can be filtered according to CATEGORY, where this function # elides messages where CATEGORY is not listed in the global variable # 'opt_warning_types'. func_warning () { $debug_cmd # CATEGORY must be in the warning_categories list! case " $warning_categories " in *" $1 "*) ;; *) func_internal_error "invalid warning category '$1'" ;; esac _G_category=$1 shift case " $opt_warning_types " in *" $_G_category "*) $warning_func ${1+"$@"} ;; esac } # func_sort_ver VER1 VER2 # ----------------------- # 'sort -V' is not generally available. # Note this deviates from the version comparison in automake # in that it treats 1.5 < 1.5.0, and treats 1.4.4a < 1.4-p3a # but this should suffice as we won't be specifying old # version formats or redundant trailing .0 in bootstrap.conf. # If we did want full compatibility then we should probably # use m4_version_compare from autoconf. func_sort_ver () { $debug_cmd printf '%s\n%s\n' "$1" "$2" \ | sort -t. -k 1,1n -k 2,2n -k 3,3n -k 4,4n -k 5,5n -k 6,6n -k 7,7n -k 8,8n -k 9,9n } # func_lt_ver PREV CURR # --------------------- # Return true if PREV and CURR are in the correct order according to # func_sort_ver, otherwise false. Use it like this: # # func_lt_ver "$prev_ver" "$proposed_ver" || func_fatal_error "..." func_lt_ver () { $debug_cmd test "x$1" = x`func_sort_ver "$1" "$2" | $SED 1q` } # Local variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-pattern: "10/scriptversion=%:y-%02m-%02d.%02H; # UTC" # time-stamp-time-zone: "UTC" # End: #!/bin/sh # A portable, pluggable option parser for Bourne shell. # Written by Gary V. Vaughan, 2010 # This is free software. There is NO warranty; not even for # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. # # Copyright (C) 2010-2019, 2021 Bootstrap Authors # # This file is dual licensed under the terms of the MIT license # , and GPL version 2 or later # . You must apply one of # these licenses when using or redistributing this software or any of # the files within it. See the URLs above, or the file `LICENSE` # included in the Bootstrap distribution for the full license texts. # Please report bugs or propose patches to: # # Set a version string for this script. scriptversion=2019-02-19.15; # UTC ## ------ ## ## Usage. ## ## ------ ## # This file is a library for parsing options in your shell scripts along # with assorted other useful supporting features that you can make use # of too. # # For the simplest scripts you might need only: # # #!/bin/sh # . relative/path/to/funclib.sh # . relative/path/to/options-parser # scriptversion=1.0 # func_options ${1+"$@"} # eval set dummy "$func_options_result"; shift # ...rest of your script... # # In order for the '--version' option to work, you will need to have a # suitably formatted comment like the one at the top of this file # starting with '# Written by ' and ending with '# Copyright'. # # For '-h' and '--help' to work, you will also need a one line # description of your script's purpose in a comment directly above the # '# Written by ' line, like the one at the top of this file. # # The default options also support '--debug', which will turn on shell # execution tracing (see the comment above debug_cmd below for another # use), and '--verbose' and the func_verbose function to allow your script # to display verbose messages only when your user has specified # '--verbose'. # # After sourcing this file, you can plug in processing for additional # options by amending the variables from the 'Configuration' section # below, and following the instructions in the 'Option parsing' # section further down. ## -------------- ## ## Configuration. ## ## -------------- ## # You should override these variables in your script after sourcing this # file so that they reflect the customisations you have added to the # option parser. # The usage line for option parsing errors and the start of '-h' and # '--help' output messages. You can embed shell variables for delayed # expansion at the time the message is displayed, but you will need to # quote other shell meta-characters carefully to prevent them being # expanded when the contents are evaled. usage='$progpath [OPTION]...' # Short help message in response to '-h' and '--help'. Add to this or # override it after sourcing this library to reflect the full set of # options your script accepts. usage_message="\ --debug enable verbose shell tracing -W, --warnings=CATEGORY report the warnings falling in CATEGORY [all] -v, --verbose verbosely report processing --version print version information and exit -h, --help print short or long help message and exit " # Additional text appended to 'usage_message' in response to '--help'. long_help_message=" Warning categories include: 'all' show all warnings 'none' turn off all the warnings 'error' warnings are treated as fatal errors" # Help message printed before fatal option parsing errors. fatal_help="Try '\$progname --help' for more information." ## ------------------------- ## ## Hook function management. ## ## ------------------------- ## # This section contains functions for adding, removing, and running hooks # in the main code. A hook is just a list of function names that can be # run in order later on. # func_hookable FUNC_NAME # ----------------------- # Declare that FUNC_NAME will run hooks added with # 'func_add_hook FUNC_NAME ...'. func_hookable () { $debug_cmd func_append hookable_fns " $1" } # func_add_hook FUNC_NAME HOOK_FUNC # --------------------------------- # Request that FUNC_NAME call HOOK_FUNC before it returns. FUNC_NAME must # first have been declared "hookable" by a call to 'func_hookable'. func_add_hook () { $debug_cmd case " $hookable_fns " in *" $1 "*) ;; *) func_fatal_error "'$1' does not accept hook functions." ;; esac eval func_append ${1}_hooks '" $2"' } # func_remove_hook FUNC_NAME HOOK_FUNC # ------------------------------------ # Remove HOOK_FUNC from the list of hook functions to be called by # FUNC_NAME. func_remove_hook () { $debug_cmd eval ${1}_hooks='`$ECHO "\$'$1'_hooks" |$SED "s| '$2'||"`' } # func_propagate_result FUNC_NAME_A FUNC_NAME_B # --------------------------------------------- # If the *_result variable of FUNC_NAME_A _is set_, assign its value to # *_result variable of FUNC_NAME_B. func_propagate_result () { $debug_cmd func_propagate_result_result=: if eval "test \"\${${1}_result+set}\" = set" then eval "${2}_result=\$${1}_result" else func_propagate_result_result=false fi } # func_run_hooks FUNC_NAME [ARG]... # --------------------------------- # Run all hook functions registered to FUNC_NAME. # It's assumed that the list of hook functions contains nothing more # than a whitespace-delimited list of legal shell function names, and # no effort is wasted trying to catch shell meta-characters or preserve # whitespace. func_run_hooks () { $debug_cmd case " $hookable_fns " in *" $1 "*) ;; *) func_fatal_error "'$1' does not support hook functions." ;; esac eval _G_hook_fns=\$$1_hooks; shift for _G_hook in $_G_hook_fns; do func_unset "${_G_hook}_result" eval $_G_hook '${1+"$@"}' func_propagate_result $_G_hook func_run_hooks if $func_propagate_result_result; then eval set dummy "$func_run_hooks_result"; shift fi done } ## --------------- ## ## Option parsing. ## ## --------------- ## # In order to add your own option parsing hooks, you must accept the # full positional parameter list from your hook function. You may remove # or edit any options that you action, and then pass back the remaining # unprocessed options in '_result', escaped # suitably for 'eval'. # # The '_result' variable is automatically unset # before your hook gets called; for best performance, only set the # *_result variable when necessary (i.e. don't call the 'func_quote' # function unnecessarily because it can be an expensive operation on some # machines). # # Like this: # # my_options_prep () # { # $debug_cmd # # # Extend the existing usage message. # usage_message=$usage_message' # -s, --silent don'\''t print informational messages # ' # # No change in '$@' (ignored completely by this hook). Leave # # my_options_prep_result variable intact. # } # func_add_hook func_options_prep my_options_prep # # # my_silent_option () # { # $debug_cmd # # args_changed=false # # # Note that, for efficiency, we parse as many options as we can # # recognise in a loop before passing the remainder back to the # # caller on the first unrecognised argument we encounter. # while test $# -gt 0; do # opt=$1; shift # case $opt in # --silent|-s) opt_silent=: # args_changed=: # ;; # # Separate non-argument short options: # -s*) func_split_short_opt "$_G_opt" # set dummy "$func_split_short_opt_name" \ # "-$func_split_short_opt_arg" ${1+"$@"} # shift # args_changed=: # ;; # *) # Make sure the first unrecognised option "$_G_opt" # # is added back to "$@" in case we need it later, # # if $args_changed was set to 'true'. # set dummy "$_G_opt" ${1+"$@"}; shift; break ;; # esac # done # # # Only call 'func_quote' here if we processed at least one argument. # if $args_changed; then # func_quote eval ${1+"$@"} # my_silent_option_result=$func_quote_result # fi # } # func_add_hook func_parse_options my_silent_option # # # my_option_validation () # { # $debug_cmd # # $opt_silent && $opt_verbose && func_fatal_help "\ # '--silent' and '--verbose' options are mutually exclusive." # } # func_add_hook func_validate_options my_option_validation # # You'll also need to manually amend $usage_message to reflect the extra # options you parse. It's preferable to append if you can, so that # multiple option parsing hooks can be added safely. # func_options_finish [ARG]... # ---------------------------- # Finishing the option parse loop (call 'func_options' hooks ATM). func_options_finish () { $debug_cmd func_run_hooks func_options ${1+"$@"} func_propagate_result func_run_hooks func_options_finish } # func_options [ARG]... # --------------------- # All the functions called inside func_options are hookable. See the # individual implementations for details. func_hookable func_options func_options () { $debug_cmd _G_options_quoted=false for my_func in options_prep parse_options validate_options options_finish do func_unset func_${my_func}_result func_unset func_run_hooks_result eval func_$my_func '${1+"$@"}' func_propagate_result func_$my_func func_options if $func_propagate_result_result; then eval set dummy "$func_options_result"; shift _G_options_quoted=: fi done $_G_options_quoted || { # As we (func_options) are top-level options-parser function and # nobody quoted "$@" for us yet, we need to do it explicitly for # caller. func_quote eval ${1+"$@"} func_options_result=$func_quote_result } } # func_options_prep [ARG]... # -------------------------- # All initialisations required before starting the option parse loop. # Note that when calling hook functions, we pass through the list of # positional parameters. If a hook function modifies that list, and # needs to propagate that back to rest of this script, then the complete # modified list must be put in 'func_run_hooks_result' before returning. func_hookable func_options_prep func_options_prep () { $debug_cmd # Option defaults: opt_verbose=false opt_warning_types= func_run_hooks func_options_prep ${1+"$@"} func_propagate_result func_run_hooks func_options_prep } # func_parse_options [ARG]... # --------------------------- # The main option parsing loop. func_hookable func_parse_options func_parse_options () { $debug_cmd _G_parse_options_requote=false # this just eases exit handling while test $# -gt 0; do # Defer to hook functions for initial option parsing, so they # get priority in the event of reusing an option name. func_run_hooks func_parse_options ${1+"$@"} func_propagate_result func_run_hooks func_parse_options if $func_propagate_result_result; then eval set dummy "$func_parse_options_result"; shift # Even though we may have changed "$@", we passed the "$@" array # down into the hook and it quoted it for us (because we are in # this if-branch). No need to quote it again. _G_parse_options_requote=false fi # Break out of the loop if we already parsed every option. test $# -gt 0 || break # We expect that one of the options parsed in this function matches # and thus we remove _G_opt from "$@" and need to re-quote. _G_match_parse_options=: _G_opt=$1 shift case $_G_opt in --debug|-x) debug_cmd='set -x' func_echo "enabling shell trace mode" >&2 $debug_cmd ;; --no-warnings|--no-warning|--no-warn) set dummy --warnings none ${1+"$@"} shift ;; --warnings|--warning|-W) if test $# = 0 && func_missing_arg $_G_opt; then _G_parse_options_requote=: break fi case " $warning_categories $1" in *" $1 "*) # trailing space prevents matching last $1 above func_append_uniq opt_warning_types " $1" ;; *all) opt_warning_types=$warning_categories ;; *none) opt_warning_types=none warning_func=: ;; *error) opt_warning_types=$warning_categories warning_func=func_fatal_error ;; *) func_fatal_error \ "unsupported warning category: '$1'" ;; esac shift ;; --verbose|-v) opt_verbose=: ;; --version) func_version ;; -\?|-h) func_usage ;; --help) func_help ;; # Separate optargs to long options (plugins may need this): --*=*) func_split_equals "$_G_opt" set dummy "$func_split_equals_lhs" \ "$func_split_equals_rhs" ${1+"$@"} shift ;; # Separate optargs to short options: -W*) func_split_short_opt "$_G_opt" set dummy "$func_split_short_opt_name" \ "$func_split_short_opt_arg" ${1+"$@"} shift ;; # Separate non-argument short options: -\?*|-h*|-v*|-x*) func_split_short_opt "$_G_opt" set dummy "$func_split_short_opt_name" \ "-$func_split_short_opt_arg" ${1+"$@"} shift ;; --) _G_parse_options_requote=: ; break ;; -*) func_fatal_help "unrecognised option: '$_G_opt'" ;; *) set dummy "$_G_opt" ${1+"$@"}; shift _G_match_parse_options=false break ;; esac if $_G_match_parse_options; then _G_parse_options_requote=: fi done if $_G_parse_options_requote; then # save modified positional parameters for caller func_quote eval ${1+"$@"} func_parse_options_result=$func_quote_result fi } # func_validate_options [ARG]... # ------------------------------ # Perform any sanity checks on option settings and/or unconsumed # arguments. func_hookable func_validate_options func_validate_options () { $debug_cmd # Display all warnings if -W was not given. test -n "$opt_warning_types" || opt_warning_types=" $warning_categories" func_run_hooks func_validate_options ${1+"$@"} func_propagate_result func_run_hooks func_validate_options # Bail if the options were screwed! $exit_cmd $EXIT_FAILURE } ## ----------------- ## ## Helper functions. ## ## ----------------- ## # This section contains the helper functions used by the rest of the # hookable option parser framework in ascii-betical order. # func_fatal_help ARG... # ---------------------- # Echo program name prefixed message to standard error, followed by # a help hint, and exit. func_fatal_help () { $debug_cmd eval \$ECHO \""Usage: $usage"\" eval \$ECHO \""$fatal_help"\" func_error ${1+"$@"} exit $EXIT_FAILURE } # func_help # --------- # Echo long help message to standard output and exit. func_help () { $debug_cmd func_usage_message $ECHO "$long_help_message" exit 0 } # func_missing_arg ARGNAME # ------------------------ # Echo program name prefixed message to standard error and set global # exit_cmd. func_missing_arg () { $debug_cmd func_error "Missing argument for '$1'." exit_cmd=exit } # func_split_equals STRING # ------------------------ # Set func_split_equals_lhs and func_split_equals_rhs shell variables # after splitting STRING at the '=' sign. test -z "$_G_HAVE_XSI_OPS" \ && (eval 'x=a/b/c; test 5aa/bb/cc = "${#x}${x%%/*}${x%/*}${x#*/}${x##*/}"') 2>/dev/null \ && _G_HAVE_XSI_OPS=yes if test yes = "$_G_HAVE_XSI_OPS" then # This is an XSI compatible shell, allowing a faster implementation... eval 'func_split_equals () { $debug_cmd func_split_equals_lhs=${1%%=*} func_split_equals_rhs=${1#*=} if test "x$func_split_equals_lhs" = "x$1"; then func_split_equals_rhs= fi }' else # ...otherwise fall back to using expr, which is often a shell builtin. func_split_equals () { $debug_cmd func_split_equals_lhs=`expr "x$1" : 'x\([^=]*\)'` func_split_equals_rhs= test "x$func_split_equals_lhs=" = "x$1" \ || func_split_equals_rhs=`expr "x$1" : 'x[^=]*=\(.*\)$'` } fi #func_split_equals # func_split_short_opt SHORTOPT # ----------------------------- # Set func_split_short_opt_name and func_split_short_opt_arg shell # variables after splitting SHORTOPT after the 2nd character. if test yes = "$_G_HAVE_XSI_OPS" then # This is an XSI compatible shell, allowing a faster implementation... eval 'func_split_short_opt () { $debug_cmd func_split_short_opt_arg=${1#??} func_split_short_opt_name=${1%"$func_split_short_opt_arg"} }' else # ...otherwise fall back to using expr, which is often a shell builtin. func_split_short_opt () { $debug_cmd func_split_short_opt_name=`expr "x$1" : 'x\(-.\)'` func_split_short_opt_arg=`expr "x$1" : 'x-.\(.*\)$'` } fi #func_split_short_opt # func_usage # ---------- # Echo short help message to standard output and exit. func_usage () { $debug_cmd func_usage_message $ECHO "Run '$progname --help |${PAGER-more}' for full usage" exit 0 } # func_usage_message # ------------------ # Echo short help message to standard output. func_usage_message () { $debug_cmd eval \$ECHO \""Usage: $usage"\" echo $SED -n 's|^# || /^Written by/{ x;p;x } h /^Written by/q' < "$progpath" echo eval \$ECHO \""$usage_message"\" } # func_version # ------------ # Echo version message to standard output and exit. # The version message is extracted from the calling file's header # comments, with leading '# ' stripped: # 1. First display the progname and version # 2. Followed by the header comment line matching /^# Written by / # 3. Then a blank line followed by the first following line matching # /^# Copyright / # 4. Immediately followed by any lines between the previous matches, # except lines preceding the intervening completely blank line. # For example, see the header comments of this file. func_version () { $debug_cmd printf '%s\n' "$progname $scriptversion" $SED -n ' /^# Written by /!b s|^# ||; p; n :fwd2blnk /./ { n b fwd2blnk } p; n :holdwrnt s|^# || s|^# *$|| /^Copyright /!{ /./H n b holdwrnt } s|\((C)\)[ 0-9,-]*[ ,-]\([1-9][0-9]* \)|\1 \2| G s|\(\n\)\n*|\1|g p; q' < "$progpath" exit $? } # Local variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-pattern: "30/scriptversion=%:y-%02m-%02d.%02H; # UTC" # time-stamp-time-zone: "UTC" # End: # Set a version string. scriptversion='(GNU libtool) 2.4.7' # func_echo ARG... # ---------------- # Libtool also displays the current mode in messages, so override # funclib.sh func_echo with this custom definition. func_echo () { $debug_cmd _G_message=$* func_echo_IFS=$IFS IFS=$nl for _G_line in $_G_message; do IFS=$func_echo_IFS $ECHO "$progname${opt_mode+: $opt_mode}: $_G_line" done IFS=$func_echo_IFS } # func_warning ARG... # ------------------- # Libtool warnings are not categorized, so override funclib.sh # func_warning with this simpler definition. func_warning () { $debug_cmd $warning_func ${1+"$@"} } ## ---------------- ## ## Options parsing. ## ## ---------------- ## # Hook in the functions to make sure our own options are parsed during # the option parsing loop. usage='$progpath [OPTION]... [MODE-ARG]...' # Short help message in response to '-h'. usage_message="Options: --config show all configuration variables --debug enable verbose shell tracing -n, --dry-run display commands without modifying any files --features display basic configuration information and exit --mode=MODE use operation mode MODE --no-warnings equivalent to '-Wnone' --preserve-dup-deps don't remove duplicate dependency libraries --quiet, --silent don't print informational messages --tag=TAG use configuration variables from tag TAG -v, --verbose print more informational messages than default --version print version information -W, --warnings=CATEGORY report the warnings falling in CATEGORY [all] -h, --help, --help-all print short, long, or detailed help message " # Additional text appended to 'usage_message' in response to '--help'. func_help () { $debug_cmd func_usage_message $ECHO "$long_help_message MODE must be one of the following: clean remove files from the build directory compile compile a source file into a libtool object execute automatically set library path, then run a program finish complete the installation of libtool libraries install install libraries or executables link create a library or an executable uninstall remove libraries from an installed directory MODE-ARGS vary depending on the MODE. When passed as first option, '--mode=MODE' may be abbreviated as 'MODE' or a unique abbreviation of that. Try '$progname --help --mode=MODE' for a more detailed description of MODE. When reporting a bug, please describe a test case to reproduce it and include the following information: host-triplet: $host shell: $SHELL compiler: $LTCC compiler flags: $LTCFLAGS linker: $LD (gnu? $with_gnu_ld) version: $progname (GNU libtool) 2.4.7 automake: `($AUTOMAKE --version) 2>/dev/null |$SED 1q` autoconf: `($AUTOCONF --version) 2>/dev/null |$SED 1q` Report bugs to . GNU libtool home page: . General help using GNU software: ." exit 0 } # func_lo2o OBJECT-NAME # --------------------- # Transform OBJECT-NAME from a '.lo' suffix to the platform specific # object suffix. lo2o=s/\\.lo\$/.$objext/ o2lo=s/\\.$objext\$/.lo/ if test yes = "$_G_HAVE_XSI_OPS"; then eval 'func_lo2o () { case $1 in *.lo) func_lo2o_result=${1%.lo}.$objext ;; * ) func_lo2o_result=$1 ;; esac }' # func_xform LIBOBJ-OR-SOURCE # --------------------------- # Transform LIBOBJ-OR-SOURCE from a '.o' or '.c' (or otherwise) # suffix to a '.lo' libtool-object suffix. eval 'func_xform () { func_xform_result=${1%.*}.lo }' else # ...otherwise fall back to using sed. func_lo2o () { func_lo2o_result=`$ECHO "$1" | $SED "$lo2o"` } func_xform () { func_xform_result=`$ECHO "$1" | $SED 's|\.[^.]*$|.lo|'` } fi # func_fatal_configuration ARG... # ------------------------------- # Echo program name prefixed message to standard error, followed by # a configuration failure hint, and exit. func_fatal_configuration () { func_fatal_error ${1+"$@"} \ "See the $PACKAGE documentation for more information." \ "Fatal configuration error." } # func_config # ----------- # Display the configuration for all the tags in this script. func_config () { re_begincf='^# ### BEGIN LIBTOOL' re_endcf='^# ### END LIBTOOL' # Default configuration. $SED "1,/$re_begincf CONFIG/d;/$re_endcf CONFIG/,\$d" < "$progpath" # Now print the configurations for the tags. for tagname in $taglist; do $SED -n "/$re_begincf TAG CONFIG: $tagname\$/,/$re_endcf TAG CONFIG: $tagname\$/p" < "$progpath" done exit $? } # func_features # ------------- # Display the features supported by this script. func_features () { echo "host: $host" if test yes = "$build_libtool_libs"; then echo "enable shared libraries" else echo "disable shared libraries" fi if test yes = "$build_old_libs"; then echo "enable static libraries" else echo "disable static libraries" fi exit $? } # func_enable_tag TAGNAME # ----------------------- # Verify that TAGNAME is valid, and either flag an error and exit, or # enable the TAGNAME tag. We also add TAGNAME to the global $taglist # variable here. func_enable_tag () { # Global variable: tagname=$1 re_begincf="^# ### BEGIN LIBTOOL TAG CONFIG: $tagname\$" re_endcf="^# ### END LIBTOOL TAG CONFIG: $tagname\$" sed_extractcf=/$re_begincf/,/$re_endcf/p # Validate tagname. case $tagname in *[!-_A-Za-z0-9,/]*) func_fatal_error "invalid tag name: $tagname" ;; esac # Don't test for the "default" C tag, as we know it's # there but not specially marked. case $tagname in CC) ;; *) if $GREP "$re_begincf" "$progpath" >/dev/null 2>&1; then taglist="$taglist $tagname" # Evaluate the configuration. Be careful to quote the path # and the sed script, to avoid splitting on whitespace, but # also don't use non-portable quotes within backquotes within # quotes we have to do it in 2 steps: extractedcf=`$SED -n -e "$sed_extractcf" < "$progpath"` eval "$extractedcf" else func_error "ignoring unknown tag $tagname" fi ;; esac } # func_check_version_match # ------------------------ # Ensure that we are using m4 macros, and libtool script from the same # release of libtool. func_check_version_match () { if test "$package_revision" != "$macro_revision"; then if test "$VERSION" != "$macro_version"; then if test -z "$macro_version"; then cat >&2 <<_LT_EOF $progname: Version mismatch error. This is $PACKAGE $VERSION, but the $progname: definition of this LT_INIT comes from an older release. $progname: You should recreate aclocal.m4 with macros from $PACKAGE $VERSION $progname: and run autoconf again. _LT_EOF else cat >&2 <<_LT_EOF $progname: Version mismatch error. This is $PACKAGE $VERSION, but the $progname: definition of this LT_INIT comes from $PACKAGE $macro_version. $progname: You should recreate aclocal.m4 with macros from $PACKAGE $VERSION $progname: and run autoconf again. _LT_EOF fi else cat >&2 <<_LT_EOF $progname: Version mismatch error. This is $PACKAGE $VERSION, revision $package_revision, $progname: but the definition of this LT_INIT comes from revision $macro_revision. $progname: You should recreate aclocal.m4 with macros from revision $package_revision $progname: of $PACKAGE $VERSION and run autoconf again. _LT_EOF fi exit $EXIT_MISMATCH fi } # libtool_options_prep [ARG]... # ----------------------------- # Preparation for options parsed by libtool. libtool_options_prep () { $debug_mode # Option defaults: opt_config=false opt_dlopen= opt_dry_run=false opt_help=false opt_mode= opt_preserve_dup_deps=false opt_quiet=false nonopt= preserve_args= _G_rc_lt_options_prep=: # Shorthand for --mode=foo, only valid as the first argument case $1 in clean|clea|cle|cl) shift; set dummy --mode clean ${1+"$@"}; shift ;; compile|compil|compi|comp|com|co|c) shift; set dummy --mode compile ${1+"$@"}; shift ;; execute|execut|execu|exec|exe|ex|e) shift; set dummy --mode execute ${1+"$@"}; shift ;; finish|finis|fini|fin|fi|f) shift; set dummy --mode finish ${1+"$@"}; shift ;; install|instal|insta|inst|ins|in|i) shift; set dummy --mode install ${1+"$@"}; shift ;; link|lin|li|l) shift; set dummy --mode link ${1+"$@"}; shift ;; uninstall|uninstal|uninsta|uninst|unins|unin|uni|un|u) shift; set dummy --mode uninstall ${1+"$@"}; shift ;; *) _G_rc_lt_options_prep=false ;; esac if $_G_rc_lt_options_prep; then # Pass back the list of options. func_quote eval ${1+"$@"} libtool_options_prep_result=$func_quote_result fi } func_add_hook func_options_prep libtool_options_prep # libtool_parse_options [ARG]... # --------------------------------- # Provide handling for libtool specific options. libtool_parse_options () { $debug_cmd _G_rc_lt_parse_options=false # Perform our own loop to consume as many options as possible in # each iteration. while test $# -gt 0; do _G_match_lt_parse_options=: _G_opt=$1 shift case $_G_opt in --dry-run|--dryrun|-n) opt_dry_run=: ;; --config) func_config ;; --dlopen|-dlopen) opt_dlopen="${opt_dlopen+$opt_dlopen }$1" shift ;; --preserve-dup-deps) opt_preserve_dup_deps=: ;; --features) func_features ;; --finish) set dummy --mode finish ${1+"$@"}; shift ;; --help) opt_help=: ;; --help-all) opt_help=': help-all' ;; --mode) test $# = 0 && func_missing_arg $_G_opt && break opt_mode=$1 case $1 in # Valid mode arguments: clean|compile|execute|finish|install|link|relink|uninstall) ;; # Catch anything else as an error *) func_error "invalid argument for $_G_opt" exit_cmd=exit break ;; esac shift ;; --no-silent|--no-quiet) opt_quiet=false func_append preserve_args " $_G_opt" ;; --no-warnings|--no-warning|--no-warn) opt_warning=false func_append preserve_args " $_G_opt" ;; --no-verbose) opt_verbose=false func_append preserve_args " $_G_opt" ;; --silent|--quiet) opt_quiet=: opt_verbose=false func_append preserve_args " $_G_opt" ;; --tag) test $# = 0 && func_missing_arg $_G_opt && break opt_tag=$1 func_append preserve_args " $_G_opt $1" func_enable_tag "$1" shift ;; --verbose|-v) opt_quiet=false opt_verbose=: func_append preserve_args " $_G_opt" ;; # An option not handled by this hook function: *) set dummy "$_G_opt" ${1+"$@"} ; shift _G_match_lt_parse_options=false break ;; esac $_G_match_lt_parse_options && _G_rc_lt_parse_options=: done if $_G_rc_lt_parse_options; then # save modified positional parameters for caller func_quote eval ${1+"$@"} libtool_parse_options_result=$func_quote_result fi } func_add_hook func_parse_options libtool_parse_options # libtool_validate_options [ARG]... # --------------------------------- # Perform any sanity checks on option settings and/or unconsumed # arguments. libtool_validate_options () { # save first non-option argument if test 0 -lt $#; then nonopt=$1 shift fi # preserve --debug test : = "$debug_cmd" || func_append preserve_args " --debug" case $host in # Solaris2 added to fix http://debbugs.gnu.org/cgi/bugreport.cgi?bug=16452 # see also: http://gcc.gnu.org/bugzilla/show_bug.cgi?id=59788 *cygwin* | *mingw* | *pw32* | *cegcc* | *solaris2* | *os2*) # don't eliminate duplications in $postdeps and $predeps opt_duplicate_compiler_generated_deps=: ;; *) opt_duplicate_compiler_generated_deps=$opt_preserve_dup_deps ;; esac $opt_help || { # Sanity checks first: func_check_version_match test yes != "$build_libtool_libs" \ && test yes != "$build_old_libs" \ && func_fatal_configuration "not configured to build any kind of library" # Darwin sucks eval std_shrext=\"$shrext_cmds\" # Only execute mode is allowed to have -dlopen flags. if test -n "$opt_dlopen" && test execute != "$opt_mode"; then func_error "unrecognized option '-dlopen'" $ECHO "$help" 1>&2 exit $EXIT_FAILURE fi # Change the help message to a mode-specific one. generic_help=$help help="Try '$progname --help --mode=$opt_mode' for more information." } # Pass back the unparsed argument list func_quote eval ${1+"$@"} libtool_validate_options_result=$func_quote_result } func_add_hook func_validate_options libtool_validate_options # Process options as early as possible so that --help and --version # can return quickly. func_options ${1+"$@"} eval set dummy "$func_options_result"; shift ## ----------- ## ## Main. ## ## ----------- ## magic='%%%MAGIC variable%%%' magic_exe='%%%MAGIC EXE variable%%%' # Global variables. extracted_archives= extracted_serial=0 # If this variable is set in any of the actions, the command in it # will be execed at the end. This prevents here-documents from being # left over by shells. exec_cmd= # A function that is used when there is no print builtin or printf. func_fallback_echo () { eval 'cat <<_LTECHO_EOF $1 _LTECHO_EOF' } # func_generated_by_libtool # True iff stdin has been generated by Libtool. This function is only # a basic sanity check; it will hardly flush out determined imposters. func_generated_by_libtool_p () { $GREP "^# Generated by .*$PACKAGE" > /dev/null 2>&1 } # func_lalib_p file # True iff FILE is a libtool '.la' library or '.lo' object file. # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_lalib_p () { test -f "$1" && $SED -e 4q "$1" 2>/dev/null | func_generated_by_libtool_p } # func_lalib_unsafe_p file # True iff FILE is a libtool '.la' library or '.lo' object file. # This function implements the same check as func_lalib_p without # resorting to external programs. To this end, it redirects stdin and # closes it afterwards, without saving the original file descriptor. # As a safety measure, use it only where a negative result would be # fatal anyway. Works if 'file' does not exist. func_lalib_unsafe_p () { lalib_p=no if test -f "$1" && test -r "$1" && exec 5<&0 <"$1"; then for lalib_p_l in 1 2 3 4 do read lalib_p_line case $lalib_p_line in \#\ Generated\ by\ *$PACKAGE* ) lalib_p=yes; break;; esac done exec 0<&5 5<&- fi test yes = "$lalib_p" } # func_ltwrapper_script_p file # True iff FILE is a libtool wrapper script # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_ltwrapper_script_p () { test -f "$1" && $lt_truncate_bin < "$1" 2>/dev/null | func_generated_by_libtool_p } # func_ltwrapper_executable_p file # True iff FILE is a libtool wrapper executable # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_ltwrapper_executable_p () { func_ltwrapper_exec_suffix= case $1 in *.exe) ;; *) func_ltwrapper_exec_suffix=.exe ;; esac $GREP "$magic_exe" "$1$func_ltwrapper_exec_suffix" >/dev/null 2>&1 } # func_ltwrapper_scriptname file # Assumes file is an ltwrapper_executable # uses $file to determine the appropriate filename for a # temporary ltwrapper_script. func_ltwrapper_scriptname () { func_dirname_and_basename "$1" "" "." func_stripname '' '.exe' "$func_basename_result" func_ltwrapper_scriptname_result=$func_dirname_result/$objdir/${func_stripname_result}_ltshwrapper } # func_ltwrapper_p file # True iff FILE is a libtool wrapper script or wrapper executable # This function is only a basic sanity check; it will hardly flush out # determined imposters. func_ltwrapper_p () { func_ltwrapper_script_p "$1" || func_ltwrapper_executable_p "$1" } # func_execute_cmds commands fail_cmd # Execute tilde-delimited COMMANDS. # If FAIL_CMD is given, eval that upon failure. # FAIL_CMD may read-access the current command in variable CMD! func_execute_cmds () { $debug_cmd save_ifs=$IFS; IFS='~' for cmd in $1; do IFS=$sp$nl eval cmd=\"$cmd\" IFS=$save_ifs func_show_eval "$cmd" "${2-:}" done IFS=$save_ifs } # func_source file # Source FILE, adding directory component if necessary. # Note that it is not necessary on cygwin/mingw to append a dot to # FILE even if both FILE and FILE.exe exist: automatic-append-.exe # behavior happens only for exec(3), not for open(2)! Also, sourcing # 'FILE.' does not work on cygwin managed mounts. func_source () { $debug_cmd case $1 in */* | *\\*) . "$1" ;; *) . "./$1" ;; esac } # func_resolve_sysroot PATH # Replace a leading = in PATH with a sysroot. Store the result into # func_resolve_sysroot_result func_resolve_sysroot () { func_resolve_sysroot_result=$1 case $func_resolve_sysroot_result in =*) func_stripname '=' '' "$func_resolve_sysroot_result" func_resolve_sysroot_result=$lt_sysroot$func_stripname_result ;; esac } # func_replace_sysroot PATH # If PATH begins with the sysroot, replace it with = and # store the result into func_replace_sysroot_result. func_replace_sysroot () { case $lt_sysroot:$1 in ?*:"$lt_sysroot"*) func_stripname "$lt_sysroot" '' "$1" func_replace_sysroot_result='='$func_stripname_result ;; *) # Including no sysroot. func_replace_sysroot_result=$1 ;; esac } # func_infer_tag arg # Infer tagged configuration to use if any are available and # if one wasn't chosen via the "--tag" command line option. # Only attempt this if the compiler in the base compile # command doesn't match the default compiler. # arg is usually of the form 'gcc ...' func_infer_tag () { $debug_cmd if test -n "$available_tags" && test -z "$tagname"; then CC_quoted= for arg in $CC; do func_append_quoted CC_quoted "$arg" done CC_expanded=`func_echo_all $CC` CC_quoted_expanded=`func_echo_all $CC_quoted` case $@ in # Blanks in the command may have been stripped by the calling shell, # but not from the CC environment variable when configure was run. " $CC "* | "$CC "* | " $CC_expanded "* | "$CC_expanded "* | \ " $CC_quoted"* | "$CC_quoted "* | " $CC_quoted_expanded "* | "$CC_quoted_expanded "*) ;; # Blanks at the start of $base_compile will cause this to fail # if we don't check for them as well. *) for z in $available_tags; do if $GREP "^# ### BEGIN LIBTOOL TAG CONFIG: $z$" < "$progpath" > /dev/null; then # Evaluate the configuration. eval "`$SED -n -e '/^# ### BEGIN LIBTOOL TAG CONFIG: '$z'$/,/^# ### END LIBTOOL TAG CONFIG: '$z'$/p' < $progpath`" CC_quoted= for arg in $CC; do # Double-quote args containing other shell metacharacters. func_append_quoted CC_quoted "$arg" done CC_expanded=`func_echo_all $CC` CC_quoted_expanded=`func_echo_all $CC_quoted` case "$@ " in " $CC "* | "$CC "* | " $CC_expanded "* | "$CC_expanded "* | \ " $CC_quoted"* | "$CC_quoted "* | " $CC_quoted_expanded "* | "$CC_quoted_expanded "*) # The compiler in the base compile command matches # the one in the tagged configuration. # Assume this is the tagged configuration we want. tagname=$z break ;; esac fi done # If $tagname still isn't set, then no tagged configuration # was found and let the user know that the "--tag" command # line option must be used. if test -z "$tagname"; then func_echo "unable to infer tagged configuration" func_fatal_error "specify a tag with '--tag'" # else # func_verbose "using $tagname tagged configuration" fi ;; esac fi } # func_write_libtool_object output_name pic_name nonpic_name # Create a libtool object file (analogous to a ".la" file), # but don't create it if we're doing a dry run. func_write_libtool_object () { write_libobj=$1 if test yes = "$build_libtool_libs"; then write_lobj=\'$2\' else write_lobj=none fi if test yes = "$build_old_libs"; then write_oldobj=\'$3\' else write_oldobj=none fi $opt_dry_run || { cat >${write_libobj}T </dev/null` if test "$?" -eq 0 && test -n "$func_convert_core_file_wine_to_w32_tmp"; then func_convert_core_file_wine_to_w32_result=`$ECHO "$func_convert_core_file_wine_to_w32_tmp" | $SED -e "$sed_naive_backslashify"` else func_convert_core_file_wine_to_w32_result= fi fi } # end: func_convert_core_file_wine_to_w32 # func_convert_core_path_wine_to_w32 ARG # Helper function used by path conversion functions when $build is *nix, and # $host is mingw, cygwin, or some other w32 environment. Relies on a correctly # configured wine environment available, with the winepath program in $build's # $PATH. Assumes ARG has no leading or trailing path separator characters. # # ARG is path to be converted from $build format to win32. # Result is available in $func_convert_core_path_wine_to_w32_result. # Unconvertible file (directory) names in ARG are skipped; if no directory names # are convertible, then the result may be empty. func_convert_core_path_wine_to_w32 () { $debug_cmd # unfortunately, winepath doesn't convert paths, only file names func_convert_core_path_wine_to_w32_result= if test -n "$1"; then oldIFS=$IFS IFS=: for func_convert_core_path_wine_to_w32_f in $1; do IFS=$oldIFS func_convert_core_file_wine_to_w32 "$func_convert_core_path_wine_to_w32_f" if test -n "$func_convert_core_file_wine_to_w32_result"; then if test -z "$func_convert_core_path_wine_to_w32_result"; then func_convert_core_path_wine_to_w32_result=$func_convert_core_file_wine_to_w32_result else func_append func_convert_core_path_wine_to_w32_result ";$func_convert_core_file_wine_to_w32_result" fi fi done IFS=$oldIFS fi } # end: func_convert_core_path_wine_to_w32 # func_cygpath ARGS... # Wrapper around calling the cygpath program via LT_CYGPATH. This is used when # when (1) $build is *nix and Cygwin is hosted via a wine environment; or (2) # $build is MSYS and $host is Cygwin, or (3) $build is Cygwin. In case (1) or # (2), returns the Cygwin file name or path in func_cygpath_result (input # file name or path is assumed to be in w32 format, as previously converted # from $build's *nix or MSYS format). In case (3), returns the w32 file name # or path in func_cygpath_result (input file name or path is assumed to be in # Cygwin format). Returns an empty string on error. # # ARGS are passed to cygpath, with the last one being the file name or path to # be converted. # # Specify the absolute *nix (or w32) name to cygpath in the LT_CYGPATH # environment variable; do not put it in $PATH. func_cygpath () { $debug_cmd if test -n "$LT_CYGPATH" && test -f "$LT_CYGPATH"; then func_cygpath_result=`$LT_CYGPATH "$@" 2>/dev/null` if test "$?" -ne 0; then # on failure, ensure result is empty func_cygpath_result= fi else func_cygpath_result= func_error "LT_CYGPATH is empty or specifies non-existent file: '$LT_CYGPATH'" fi } #end: func_cygpath # func_convert_core_msys_to_w32 ARG # Convert file name or path ARG from MSYS format to w32 format. Return # result in func_convert_core_msys_to_w32_result. func_convert_core_msys_to_w32 () { $debug_cmd # awkward: cmd appends spaces to result func_convert_core_msys_to_w32_result=`( cmd //c echo "$1" ) 2>/dev/null | $SED -e 's/[ ]*$//' -e "$sed_naive_backslashify"` } #end: func_convert_core_msys_to_w32 # func_convert_file_check ARG1 ARG2 # Verify that ARG1 (a file name in $build format) was converted to $host # format in ARG2. Otherwise, emit an error message, but continue (resetting # func_to_host_file_result to ARG1). func_convert_file_check () { $debug_cmd if test -z "$2" && test -n "$1"; then func_error "Could not determine host file name corresponding to" func_error " '$1'" func_error "Continuing, but uninstalled executables may not work." # Fallback: func_to_host_file_result=$1 fi } # end func_convert_file_check # func_convert_path_check FROM_PATHSEP TO_PATHSEP FROM_PATH TO_PATH # Verify that FROM_PATH (a path in $build format) was converted to $host # format in TO_PATH. Otherwise, emit an error message, but continue, resetting # func_to_host_file_result to a simplistic fallback value (see below). func_convert_path_check () { $debug_cmd if test -z "$4" && test -n "$3"; then func_error "Could not determine the host path corresponding to" func_error " '$3'" func_error "Continuing, but uninstalled executables may not work." # Fallback. This is a deliberately simplistic "conversion" and # should not be "improved". See libtool.info. if test "x$1" != "x$2"; then lt_replace_pathsep_chars="s|$1|$2|g" func_to_host_path_result=`echo "$3" | $SED -e "$lt_replace_pathsep_chars"` else func_to_host_path_result=$3 fi fi } # end func_convert_path_check # func_convert_path_front_back_pathsep FRONTPAT BACKPAT REPL ORIG # Modifies func_to_host_path_result by prepending REPL if ORIG matches FRONTPAT # and appending REPL if ORIG matches BACKPAT. func_convert_path_front_back_pathsep () { $debug_cmd case $4 in $1 ) func_to_host_path_result=$3$func_to_host_path_result ;; esac case $4 in $2 ) func_append func_to_host_path_result "$3" ;; esac } # end func_convert_path_front_back_pathsep ################################################## # $build to $host FILE NAME CONVERSION FUNCTIONS # ################################################## # invoked via '$to_host_file_cmd ARG' # # In each case, ARG is the path to be converted from $build to $host format. # Result will be available in $func_to_host_file_result. # func_to_host_file ARG # Converts the file name ARG from $build format to $host format. Return result # in func_to_host_file_result. func_to_host_file () { $debug_cmd $to_host_file_cmd "$1" } # end func_to_host_file # func_to_tool_file ARG LAZY # converts the file name ARG from $build format to toolchain format. Return # result in func_to_tool_file_result. If the conversion in use is listed # in (the comma separated) LAZY, no conversion takes place. func_to_tool_file () { $debug_cmd case ,$2, in *,"$to_tool_file_cmd",*) func_to_tool_file_result=$1 ;; *) $to_tool_file_cmd "$1" func_to_tool_file_result=$func_to_host_file_result ;; esac } # end func_to_tool_file # func_convert_file_noop ARG # Copy ARG to func_to_host_file_result. func_convert_file_noop () { func_to_host_file_result=$1 } # end func_convert_file_noop # func_convert_file_msys_to_w32 ARG # Convert file name ARG from (mingw) MSYS to (mingw) w32 format; automatic # conversion to w32 is not available inside the cwrapper. Returns result in # func_to_host_file_result. func_convert_file_msys_to_w32 () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then func_convert_core_msys_to_w32 "$1" func_to_host_file_result=$func_convert_core_msys_to_w32_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_msys_to_w32 # func_convert_file_cygwin_to_w32 ARG # Convert file name ARG from Cygwin to w32 format. Returns result in # func_to_host_file_result. func_convert_file_cygwin_to_w32 () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then # because $build is cygwin, we call "the" cygpath in $PATH; no need to use # LT_CYGPATH in this case. func_to_host_file_result=`cygpath -m "$1"` fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_cygwin_to_w32 # func_convert_file_nix_to_w32 ARG # Convert file name ARG from *nix to w32 format. Requires a wine environment # and a working winepath. Returns result in func_to_host_file_result. func_convert_file_nix_to_w32 () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then func_convert_core_file_wine_to_w32 "$1" func_to_host_file_result=$func_convert_core_file_wine_to_w32_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_nix_to_w32 # func_convert_file_msys_to_cygwin ARG # Convert file name ARG from MSYS to Cygwin format. Requires LT_CYGPATH set. # Returns result in func_to_host_file_result. func_convert_file_msys_to_cygwin () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then func_convert_core_msys_to_w32 "$1" func_cygpath -u "$func_convert_core_msys_to_w32_result" func_to_host_file_result=$func_cygpath_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_msys_to_cygwin # func_convert_file_nix_to_cygwin ARG # Convert file name ARG from *nix to Cygwin format. Requires Cygwin installed # in a wine environment, working winepath, and LT_CYGPATH set. Returns result # in func_to_host_file_result. func_convert_file_nix_to_cygwin () { $debug_cmd func_to_host_file_result=$1 if test -n "$1"; then # convert from *nix to w32, then use cygpath to convert from w32 to cygwin. func_convert_core_file_wine_to_w32 "$1" func_cygpath -u "$func_convert_core_file_wine_to_w32_result" func_to_host_file_result=$func_cygpath_result fi func_convert_file_check "$1" "$func_to_host_file_result" } # end func_convert_file_nix_to_cygwin ############################################# # $build to $host PATH CONVERSION FUNCTIONS # ############################################# # invoked via '$to_host_path_cmd ARG' # # In each case, ARG is the path to be converted from $build to $host format. # The result will be available in $func_to_host_path_result. # # Path separators are also converted from $build format to $host format. If # ARG begins or ends with a path separator character, it is preserved (but # converted to $host format) on output. # # All path conversion functions are named using the following convention: # file name conversion function : func_convert_file_X_to_Y () # path conversion function : func_convert_path_X_to_Y () # where, for any given $build/$host combination the 'X_to_Y' value is the # same. If conversion functions are added for new $build/$host combinations, # the two new functions must follow this pattern, or func_init_to_host_path_cmd # will break. # func_init_to_host_path_cmd # Ensures that function "pointer" variable $to_host_path_cmd is set to the # appropriate value, based on the value of $to_host_file_cmd. to_host_path_cmd= func_init_to_host_path_cmd () { $debug_cmd if test -z "$to_host_path_cmd"; then func_stripname 'func_convert_file_' '' "$to_host_file_cmd" to_host_path_cmd=func_convert_path_$func_stripname_result fi } # func_to_host_path ARG # Converts the path ARG from $build format to $host format. Return result # in func_to_host_path_result. func_to_host_path () { $debug_cmd func_init_to_host_path_cmd $to_host_path_cmd "$1" } # end func_to_host_path # func_convert_path_noop ARG # Copy ARG to func_to_host_path_result. func_convert_path_noop () { func_to_host_path_result=$1 } # end func_convert_path_noop # func_convert_path_msys_to_w32 ARG # Convert path ARG from (mingw) MSYS to (mingw) w32 format; automatic # conversion to w32 is not available inside the cwrapper. Returns result in # func_to_host_path_result. func_convert_path_msys_to_w32 () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # Remove leading and trailing path separator characters from ARG. MSYS # behavior is inconsistent here; cygpath turns them into '.;' and ';.'; # and winepath ignores them completely. func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_msys_to_w32 "$func_to_host_path_tmp1" func_to_host_path_result=$func_convert_core_msys_to_w32_result func_convert_path_check : ";" \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" fi } # end func_convert_path_msys_to_w32 # func_convert_path_cygwin_to_w32 ARG # Convert path ARG from Cygwin to w32 format. Returns result in # func_to_host_file_result. func_convert_path_cygwin_to_w32 () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # See func_convert_path_msys_to_w32: func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_to_host_path_result=`cygpath -m -p "$func_to_host_path_tmp1"` func_convert_path_check : ";" \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" fi } # end func_convert_path_cygwin_to_w32 # func_convert_path_nix_to_w32 ARG # Convert path ARG from *nix to w32 format. Requires a wine environment and # a working winepath. Returns result in func_to_host_file_result. func_convert_path_nix_to_w32 () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # See func_convert_path_msys_to_w32: func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_path_wine_to_w32 "$func_to_host_path_tmp1" func_to_host_path_result=$func_convert_core_path_wine_to_w32_result func_convert_path_check : ";" \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" fi } # end func_convert_path_nix_to_w32 # func_convert_path_msys_to_cygwin ARG # Convert path ARG from MSYS to Cygwin format. Requires LT_CYGPATH set. # Returns result in func_to_host_file_result. func_convert_path_msys_to_cygwin () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # See func_convert_path_msys_to_w32: func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_msys_to_w32 "$func_to_host_path_tmp1" func_cygpath -u -p "$func_convert_core_msys_to_w32_result" func_to_host_path_result=$func_cygpath_result func_convert_path_check : : \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" : "$1" fi } # end func_convert_path_msys_to_cygwin # func_convert_path_nix_to_cygwin ARG # Convert path ARG from *nix to Cygwin format. Requires Cygwin installed in a # a wine environment, working winepath, and LT_CYGPATH set. Returns result in # func_to_host_file_result. func_convert_path_nix_to_cygwin () { $debug_cmd func_to_host_path_result=$1 if test -n "$1"; then # Remove leading and trailing path separator characters from # ARG. msys behavior is inconsistent here, cygpath turns them # into '.;' and ';.', and winepath ignores them completely. func_stripname : : "$1" func_to_host_path_tmp1=$func_stripname_result func_convert_core_path_wine_to_w32 "$func_to_host_path_tmp1" func_cygpath -u -p "$func_convert_core_path_wine_to_w32_result" func_to_host_path_result=$func_cygpath_result func_convert_path_check : : \ "$func_to_host_path_tmp1" "$func_to_host_path_result" func_convert_path_front_back_pathsep ":*" "*:" : "$1" fi } # end func_convert_path_nix_to_cygwin # func_dll_def_p FILE # True iff FILE is a Windows DLL '.def' file. # Keep in sync with _LT_DLL_DEF_P in libtool.m4 func_dll_def_p () { $debug_cmd func_dll_def_p_tmp=`$SED -n \ -e 's/^[ ]*//' \ -e '/^\(;.*\)*$/d' \ -e 's/^\(EXPORTS\|LIBRARY\)\([ ].*\)*$/DEF/p' \ -e q \ "$1"` test DEF = "$func_dll_def_p_tmp" } # func_mode_compile arg... func_mode_compile () { $debug_cmd # Get the compilation command and the source file. base_compile= srcfile=$nonopt # always keep a non-empty value in "srcfile" suppress_opt=yes suppress_output= arg_mode=normal libobj= later= pie_flag= for arg do case $arg_mode in arg ) # do not "continue". Instead, add this to base_compile lastarg=$arg arg_mode=normal ;; target ) libobj=$arg arg_mode=normal continue ;; normal ) # Accept any command-line options. case $arg in -o) test -n "$libobj" && \ func_fatal_error "you cannot specify '-o' more than once" arg_mode=target continue ;; -pie | -fpie | -fPIE) func_append pie_flag " $arg" continue ;; -shared | -static | -prefer-pic | -prefer-non-pic) func_append later " $arg" continue ;; -no-suppress) suppress_opt=no continue ;; -Xcompiler) arg_mode=arg # the next one goes into the "base_compile" arg list continue # The current "srcfile" will either be retained or ;; # replaced later. I would guess that would be a bug. -Wc,*) func_stripname '-Wc,' '' "$arg" args=$func_stripname_result lastarg= save_ifs=$IFS; IFS=, for arg in $args; do IFS=$save_ifs func_append_quoted lastarg "$arg" done IFS=$save_ifs func_stripname ' ' '' "$lastarg" lastarg=$func_stripname_result # Add the arguments to base_compile. func_append base_compile " $lastarg" continue ;; *) # Accept the current argument as the source file. # The previous "srcfile" becomes the current argument. # lastarg=$srcfile srcfile=$arg ;; esac # case $arg ;; esac # case $arg_mode # Aesthetically quote the previous argument. func_append_quoted base_compile "$lastarg" done # for arg case $arg_mode in arg) func_fatal_error "you must specify an argument for -Xcompile" ;; target) func_fatal_error "you must specify a target with '-o'" ;; *) # Get the name of the library object. test -z "$libobj" && { func_basename "$srcfile" libobj=$func_basename_result } ;; esac # Recognize several different file suffixes. # If the user specifies -o file.o, it is replaced with file.lo case $libobj in *.[cCFSifmso] | \ *.ada | *.adb | *.ads | *.asm | \ *.c++ | *.cc | *.ii | *.class | *.cpp | *.cxx | \ *.[fF][09]? | *.for | *.java | *.go | *.obj | *.sx | *.cu | *.cup) func_xform "$libobj" libobj=$func_xform_result ;; esac case $libobj in *.lo) func_lo2o "$libobj"; obj=$func_lo2o_result ;; *) func_fatal_error "cannot determine name of library object from '$libobj'" ;; esac func_infer_tag $base_compile for arg in $later; do case $arg in -shared) test yes = "$build_libtool_libs" \ || func_fatal_configuration "cannot build a shared library" build_old_libs=no continue ;; -static) build_libtool_libs=no build_old_libs=yes continue ;; -prefer-pic) pic_mode=yes continue ;; -prefer-non-pic) pic_mode=no continue ;; esac done func_quote_arg pretty "$libobj" test "X$libobj" != "X$func_quote_arg_result" \ && $ECHO "X$libobj" | $GREP '[]~#^*{};<>?"'"'"' &()|`$[]' \ && func_warning "libobj name '$libobj' may not contain shell special characters." func_dirname_and_basename "$obj" "/" "" objname=$func_basename_result xdir=$func_dirname_result lobj=$xdir$objdir/$objname test -z "$base_compile" && \ func_fatal_help "you must specify a compilation command" # Delete any leftover library objects. if test yes = "$build_old_libs"; then removelist="$obj $lobj $libobj ${libobj}T" else removelist="$lobj $libobj ${libobj}T" fi # On Cygwin there's no "real" PIC flag so we must build both object types case $host_os in cygwin* | mingw* | pw32* | os2* | cegcc*) pic_mode=default ;; esac if test no = "$pic_mode" && test pass_all != "$deplibs_check_method"; then # non-PIC code in shared libraries is not supported pic_mode=default fi # Calculate the filename of the output object if compiler does # not support -o with -c if test no = "$compiler_c_o"; then output_obj=`$ECHO "$srcfile" | $SED 's%^.*/%%; s%\.[^.]*$%%'`.$objext lockfile=$output_obj.lock else output_obj= need_locks=no lockfile= fi # Lock this critical section if it is needed # We use this script file to make the link, it avoids creating a new file if test yes = "$need_locks"; then until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do func_echo "Waiting for $lockfile to be removed" sleep 2 done elif test warn = "$need_locks"; then if test -f "$lockfile"; then $ECHO "\ *** ERROR, $lockfile exists and contains: `cat $lockfile 2>/dev/null` This indicates that another process is trying to use the same temporary object file, and libtool could not work around it because your compiler does not support '-c' and '-o' together. If you repeat this compilation, it may succeed, by chance, but you had better avoid parallel builds (make -j) in this platform, or get a better compiler." $opt_dry_run || $RM $removelist exit $EXIT_FAILURE fi func_append removelist " $output_obj" $ECHO "$srcfile" > "$lockfile" fi $opt_dry_run || $RM $removelist func_append removelist " $lockfile" trap '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' 1 2 15 func_to_tool_file "$srcfile" func_convert_file_msys_to_w32 srcfile=$func_to_tool_file_result func_quote_arg pretty "$srcfile" qsrcfile=$func_quote_arg_result # Only build a PIC object if we are building libtool libraries. if test yes = "$build_libtool_libs"; then # Without this assignment, base_compile gets emptied. fbsd_hideous_sh_bug=$base_compile if test no != "$pic_mode"; then command="$base_compile $qsrcfile $pic_flag" else # Don't build PIC code command="$base_compile $qsrcfile" fi func_mkdir_p "$xdir$objdir" if test -z "$output_obj"; then # Place PIC objects in $objdir func_append command " -o $lobj" fi func_show_eval_locale "$command" \ 'test -n "$output_obj" && $RM $removelist; exit $EXIT_FAILURE' if test warn = "$need_locks" && test "X`cat $lockfile 2>/dev/null`" != "X$srcfile"; then $ECHO "\ *** ERROR, $lockfile contains: `cat $lockfile 2>/dev/null` but it should contain: $srcfile This indicates that another process is trying to use the same temporary object file, and libtool could not work around it because your compiler does not support '-c' and '-o' together. If you repeat this compilation, it may succeed, by chance, but you had better avoid parallel builds (make -j) in this platform, or get a better compiler." $opt_dry_run || $RM $removelist exit $EXIT_FAILURE fi # Just move the object if needed, then go on to compile the next one if test -n "$output_obj" && test "X$output_obj" != "X$lobj"; then func_show_eval '$MV "$output_obj" "$lobj"' \ 'error=$?; $opt_dry_run || $RM $removelist; exit $error' fi # Allow error messages only from the first compilation. if test yes = "$suppress_opt"; then suppress_output=' >/dev/null 2>&1' fi fi # Only build a position-dependent object if we build old libraries. if test yes = "$build_old_libs"; then if test yes != "$pic_mode"; then # Don't build PIC code command="$base_compile $qsrcfile$pie_flag" else command="$base_compile $qsrcfile $pic_flag" fi if test yes = "$compiler_c_o"; then func_append command " -o $obj" fi # Suppress compiler output if we already did a PIC compilation. func_append command "$suppress_output" func_show_eval_locale "$command" \ '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' if test warn = "$need_locks" && test "X`cat $lockfile 2>/dev/null`" != "X$srcfile"; then $ECHO "\ *** ERROR, $lockfile contains: `cat $lockfile 2>/dev/null` but it should contain: $srcfile This indicates that another process is trying to use the same temporary object file, and libtool could not work around it because your compiler does not support '-c' and '-o' together. If you repeat this compilation, it may succeed, by chance, but you had better avoid parallel builds (make -j) in this platform, or get a better compiler." $opt_dry_run || $RM $removelist exit $EXIT_FAILURE fi # Just move the object if needed if test -n "$output_obj" && test "X$output_obj" != "X$obj"; then func_show_eval '$MV "$output_obj" "$obj"' \ 'error=$?; $opt_dry_run || $RM $removelist; exit $error' fi fi $opt_dry_run || { func_write_libtool_object "$libobj" "$objdir/$objname" "$objname" # Unlock the critical section if it was locked if test no != "$need_locks"; then removelist=$lockfile $RM "$lockfile" fi } exit $EXIT_SUCCESS } $opt_help || { test compile = "$opt_mode" && func_mode_compile ${1+"$@"} } func_mode_help () { # We need to display help for each of the modes. case $opt_mode in "") # Generic help is extracted from the usage comments # at the start of this file. func_help ;; clean) $ECHO \ "Usage: $progname [OPTION]... --mode=clean RM [RM-OPTION]... FILE... Remove files from the build directory. RM is the name of the program to use to delete files associated with each FILE (typically '/bin/rm'). RM-OPTIONS are options (such as '-f') to be passed to RM. If FILE is a libtool library, object or program, all the files associated with it are deleted. Otherwise, only FILE itself is deleted using RM." ;; compile) $ECHO \ "Usage: $progname [OPTION]... --mode=compile COMPILE-COMMAND... SOURCEFILE Compile a source file into a libtool library object. This mode accepts the following additional options: -o OUTPUT-FILE set the output file name to OUTPUT-FILE -no-suppress do not suppress compiler output for multiple passes -prefer-pic try to build PIC objects only -prefer-non-pic try to build non-PIC objects only -shared do not build a '.o' file suitable for static linking -static only build a '.o' file suitable for static linking -Wc,FLAG -Xcompiler FLAG pass FLAG directly to the compiler COMPILE-COMMAND is a command to be used in creating a 'standard' object file from the given SOURCEFILE. The output file name is determined by removing the directory component from SOURCEFILE, then substituting the C source code suffix '.c' with the library object suffix, '.lo'." ;; execute) $ECHO \ "Usage: $progname [OPTION]... --mode=execute COMMAND [ARGS]... Automatically set library path, then run a program. This mode accepts the following additional options: -dlopen FILE add the directory containing FILE to the library path This mode sets the library path environment variable according to '-dlopen' flags. If any of the ARGS are libtool executable wrappers, then they are translated into their corresponding uninstalled binary, and any of their required library directories are added to the library path. Then, COMMAND is executed, with ARGS as arguments." ;; finish) $ECHO \ "Usage: $progname [OPTION]... --mode=finish [LIBDIR]... Complete the installation of libtool libraries. Each LIBDIR is a directory that contains libtool libraries. The commands that this mode executes may require superuser privileges. Use the '--dry-run' option if you just want to see what would be executed." ;; install) $ECHO \ "Usage: $progname [OPTION]... --mode=install INSTALL-COMMAND... Install executables or libraries. INSTALL-COMMAND is the installation command. The first component should be either the 'install' or 'cp' program. The following components of INSTALL-COMMAND are treated specially: -inst-prefix-dir PREFIX-DIR Use PREFIX-DIR as a staging area for installation The rest of the components are interpreted as arguments to that command (only BSD-compatible install options are recognized)." ;; link) $ECHO \ "Usage: $progname [OPTION]... --mode=link LINK-COMMAND... Link object files or libraries together to form another library, or to create an executable program. LINK-COMMAND is a command using the C compiler that you would use to create a program from several object files. The following components of LINK-COMMAND are treated specially: -all-static do not do any dynamic linking at all -avoid-version do not add a version suffix if possible -bindir BINDIR specify path to binaries directory (for systems where libraries must be found in the PATH setting at runtime) -dlopen FILE '-dlpreopen' FILE if it cannot be dlopened at runtime -dlpreopen FILE link in FILE and add its symbols to lt_preloaded_symbols -export-dynamic allow symbols from OUTPUT-FILE to be resolved with dlsym(3) -export-symbols SYMFILE try to export only the symbols listed in SYMFILE -export-symbols-regex REGEX try to export only the symbols matching REGEX -LLIBDIR search LIBDIR for required installed libraries -lNAME OUTPUT-FILE requires the installed library libNAME -module build a library that can dlopened -no-fast-install disable the fast-install mode -no-install link a not-installable executable -no-undefined declare that a library does not refer to external symbols -o OUTPUT-FILE create OUTPUT-FILE from the specified objects -objectlist FILE use a list of object files found in FILE to specify objects -os2dllname NAME force a short DLL name on OS/2 (no effect on other OSes) -precious-files-regex REGEX don't remove output files matching REGEX -release RELEASE specify package release information -rpath LIBDIR the created library will eventually be installed in LIBDIR -R[ ]LIBDIR add LIBDIR to the runtime path of programs and libraries -shared only do dynamic linking of libtool libraries -shrext SUFFIX override the standard shared library file extension -static do not do any dynamic linking of uninstalled libtool libraries -static-libtool-libs do not do any dynamic linking of libtool libraries -version-info CURRENT[:REVISION[:AGE]] specify library version info [each variable defaults to 0] -weak LIBNAME declare that the target provides the LIBNAME interface -Wc,FLAG -Xcompiler FLAG pass linker-specific FLAG directly to the compiler -Wa,FLAG -Xassembler FLAG pass linker-specific FLAG directly to the assembler -Wl,FLAG -Xlinker FLAG pass linker-specific FLAG directly to the linker -XCClinker FLAG pass link-specific FLAG to the compiler driver (CC) All other options (arguments beginning with '-') are ignored. Every other argument is treated as a filename. Files ending in '.la' are treated as uninstalled libtool libraries, other files are standard or library object files. If the OUTPUT-FILE ends in '.la', then a libtool library is created, only library objects ('.lo' files) may be specified, and '-rpath' is required, except when creating a convenience library. If OUTPUT-FILE ends in '.a' or '.lib', then a standard library is created using 'ar' and 'ranlib', or on Windows using 'lib'. If OUTPUT-FILE ends in '.lo' or '.$objext', then a reloadable object file is created, otherwise an executable program is created." ;; uninstall) $ECHO \ "Usage: $progname [OPTION]... --mode=uninstall RM [RM-OPTION]... FILE... Remove libraries from an installation directory. RM is the name of the program to use to delete files associated with each FILE (typically '/bin/rm'). RM-OPTIONS are options (such as '-f') to be passed to RM. If FILE is a libtool library, all the files associated with it are deleted. Otherwise, only FILE itself is deleted using RM." ;; *) func_fatal_help "invalid operation mode '$opt_mode'" ;; esac echo $ECHO "Try '$progname --help' for more information about other modes." } # Now that we've collected a possible --mode arg, show help if necessary if $opt_help; then if test : = "$opt_help"; then func_mode_help else { func_help noexit for opt_mode in compile link execute install finish uninstall clean; do func_mode_help done } | $SED -n '1p; 2,$s/^Usage:/ or: /p' { func_help noexit for opt_mode in compile link execute install finish uninstall clean; do echo func_mode_help done } | $SED '1d /^When reporting/,/^Report/{ H d } $x /information about other modes/d /more detailed .*MODE/d s/^Usage:.*--mode=\([^ ]*\) .*/Description of \1 mode:/' fi exit $? fi # func_mode_execute arg... func_mode_execute () { $debug_cmd # The first argument is the command name. cmd=$nonopt test -z "$cmd" && \ func_fatal_help "you must specify a COMMAND" # Handle -dlopen flags immediately. for file in $opt_dlopen; do test -f "$file" \ || func_fatal_help "'$file' is not a file" dir= case $file in *.la) func_resolve_sysroot "$file" file=$func_resolve_sysroot_result # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$file" \ || func_fatal_help "'$lib' is not a valid libtool archive" # Read the libtool library. dlname= library_names= func_source "$file" # Skip this library if it cannot be dlopened. if test -z "$dlname"; then # Warn if it was a shared library. test -n "$library_names" && \ func_warning "'$file' was not linked with '-export-dynamic'" continue fi func_dirname "$file" "" "." dir=$func_dirname_result if test -f "$dir/$objdir/$dlname"; then func_append dir "/$objdir" else if test ! -f "$dir/$dlname"; then func_fatal_error "cannot find '$dlname' in '$dir' or '$dir/$objdir'" fi fi ;; *.lo) # Just add the directory containing the .lo file. func_dirname "$file" "" "." dir=$func_dirname_result ;; *) func_warning "'-dlopen' is ignored for non-libtool libraries and objects" continue ;; esac # Get the absolute pathname. absdir=`cd "$dir" && pwd` test -n "$absdir" && dir=$absdir # Now add the directory to shlibpath_var. if eval "test -z \"\$$shlibpath_var\""; then eval "$shlibpath_var=\"\$dir\"" else eval "$shlibpath_var=\"\$dir:\$$shlibpath_var\"" fi done # This variable tells wrapper scripts just to set shlibpath_var # rather than running their programs. libtool_execute_magic=$magic # Check if any of the arguments is a wrapper script. args= for file do case $file in -* | *.la | *.lo ) ;; *) # Do a test to see if this is really a libtool program. if func_ltwrapper_script_p "$file"; then func_source "$file" # Transform arg to wrapped name. file=$progdir/$program elif func_ltwrapper_executable_p "$file"; then func_ltwrapper_scriptname "$file" func_source "$func_ltwrapper_scriptname_result" # Transform arg to wrapped name. file=$progdir/$program fi ;; esac # Quote arguments (to preserve shell metacharacters). func_append_quoted args "$file" done if $opt_dry_run; then # Display what would be done. if test -n "$shlibpath_var"; then eval "\$ECHO \"\$shlibpath_var=\$$shlibpath_var\"" echo "export $shlibpath_var" fi $ECHO "$cmd$args" exit $EXIT_SUCCESS else if test -n "$shlibpath_var"; then # Export the shlibpath_var. eval "export $shlibpath_var" fi # Restore saved environment variables for lt_var in LANG LANGUAGE LC_ALL LC_CTYPE LC_COLLATE LC_MESSAGES do eval "if test \"\${save_$lt_var+set}\" = set; then $lt_var=\$save_$lt_var; export $lt_var else $lt_unset $lt_var fi" done # Now prepare to actually exec the command. exec_cmd=\$cmd$args fi } test execute = "$opt_mode" && func_mode_execute ${1+"$@"} # func_mode_finish arg... func_mode_finish () { $debug_cmd libs= libdirs= admincmds= for opt in "$nonopt" ${1+"$@"} do if test -d "$opt"; then func_append libdirs " $opt" elif test -f "$opt"; then if func_lalib_unsafe_p "$opt"; then func_append libs " $opt" else func_warning "'$opt' is not a valid libtool archive" fi else func_fatal_error "invalid argument '$opt'" fi done if test -n "$libs"; then if test -n "$lt_sysroot"; then sysroot_regex=`$ECHO "$lt_sysroot" | $SED "$sed_make_literal_regex"` sysroot_cmd="s/\([ ']\)$sysroot_regex/\1/g;" else sysroot_cmd= fi # Remove sysroot references if $opt_dry_run; then for lib in $libs; do echo "removing references to $lt_sysroot and '=' prefixes from $lib" done else tmpdir=`func_mktempdir` for lib in $libs; do $SED -e "$sysroot_cmd s/\([ ']-[LR]\)=/\1/g; s/\([ ']\)=/\1/g" $lib \ > $tmpdir/tmp-la mv -f $tmpdir/tmp-la $lib done ${RM}r "$tmpdir" fi fi if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then for libdir in $libdirs; do if test -n "$finish_cmds"; then # Do each command in the finish commands. func_execute_cmds "$finish_cmds" 'admincmds="$admincmds '"$cmd"'"' fi if test -n "$finish_eval"; then # Do the single finish_eval. eval cmds=\"$finish_eval\" $opt_dry_run || eval "$cmds" || func_append admincmds " $cmds" fi done fi # Exit here if they wanted silent mode. $opt_quiet && exit $EXIT_SUCCESS if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then echo "----------------------------------------------------------------------" echo "Libraries have been installed in:" for libdir in $libdirs; do $ECHO " $libdir" done echo echo "If you ever happen to want to link against installed libraries" echo "in a given directory, LIBDIR, you must either use libtool, and" echo "specify the full pathname of the library, or use the '-LLIBDIR'" echo "flag during linking and do at least one of the following:" if test -n "$shlibpath_var"; then echo " - add LIBDIR to the '$shlibpath_var' environment variable" echo " during execution" fi if test -n "$runpath_var"; then echo " - add LIBDIR to the '$runpath_var' environment variable" echo " during linking" fi if test -n "$hardcode_libdir_flag_spec"; then libdir=LIBDIR eval flag=\"$hardcode_libdir_flag_spec\" $ECHO " - use the '$flag' linker flag" fi if test -n "$admincmds"; then $ECHO " - have your system administrator run these commands:$admincmds" fi if test -f /etc/ld.so.conf; then echo " - have your system administrator add LIBDIR to '/etc/ld.so.conf'" fi echo echo "See any operating system documentation about shared libraries for" case $host in solaris2.[6789]|solaris2.1[0-9]) echo "more information, such as the ld(1), crle(1) and ld.so(8) manual" echo "pages." ;; *) echo "more information, such as the ld(1) and ld.so(8) manual pages." ;; esac echo "----------------------------------------------------------------------" fi exit $EXIT_SUCCESS } test finish = "$opt_mode" && func_mode_finish ${1+"$@"} # func_mode_install arg... func_mode_install () { $debug_cmd # There may be an optional sh(1) argument at the beginning of # install_prog (especially on Windows NT). if test "$SHELL" = "$nonopt" || test /bin/sh = "$nonopt" || # Allow the use of GNU shtool's install command. case $nonopt in *shtool*) :;; *) false;; esac then # Aesthetically quote it. func_quote_arg pretty "$nonopt" install_prog="$func_quote_arg_result " arg=$1 shift else install_prog= arg=$nonopt fi # The real first argument should be the name of the installation program. # Aesthetically quote it. func_quote_arg pretty "$arg" func_append install_prog "$func_quote_arg_result" install_shared_prog=$install_prog case " $install_prog " in *[\\\ /]cp\ *) install_cp=: ;; *) install_cp=false ;; esac # We need to accept at least all the BSD install flags. dest= files= opts= prev= install_type= isdir=false stripme= no_mode=: for arg do arg2= if test -n "$dest"; then func_append files " $dest" dest=$arg continue fi case $arg in -d) isdir=: ;; -f) if $install_cp; then :; else prev=$arg fi ;; -g | -m | -o) prev=$arg ;; -s) stripme=" -s" continue ;; -*) ;; *) # If the previous option needed an argument, then skip it. if test -n "$prev"; then if test X-m = "X$prev" && test -n "$install_override_mode"; then arg2=$install_override_mode no_mode=false fi prev= else dest=$arg continue fi ;; esac # Aesthetically quote the argument. func_quote_arg pretty "$arg" func_append install_prog " $func_quote_arg_result" if test -n "$arg2"; then func_quote_arg pretty "$arg2" fi func_append install_shared_prog " $func_quote_arg_result" done test -z "$install_prog" && \ func_fatal_help "you must specify an install program" test -n "$prev" && \ func_fatal_help "the '$prev' option requires an argument" if test -n "$install_override_mode" && $no_mode; then if $install_cp; then :; else func_quote_arg pretty "$install_override_mode" func_append install_shared_prog " -m $func_quote_arg_result" fi fi if test -z "$files"; then if test -z "$dest"; then func_fatal_help "no file or destination specified" else func_fatal_help "you must specify a destination" fi fi # Strip any trailing slash from the destination. func_stripname '' '/' "$dest" dest=$func_stripname_result # Check to see that the destination is a directory. test -d "$dest" && isdir=: if $isdir; then destdir=$dest destname= else func_dirname_and_basename "$dest" "" "." destdir=$func_dirname_result destname=$func_basename_result # Not a directory, so check to see that there is only one file specified. set dummy $files; shift test "$#" -gt 1 && \ func_fatal_help "'$dest' is not a directory" fi case $destdir in [\\/]* | [A-Za-z]:[\\/]*) ;; *) for file in $files; do case $file in *.lo) ;; *) func_fatal_help "'$destdir' must be an absolute directory name" ;; esac done ;; esac # This variable tells wrapper scripts just to set variables rather # than running their programs. libtool_install_magic=$magic staticlibs= future_libdirs= current_libdirs= for file in $files; do # Do each installation. case $file in *.$libext) # Do the static libraries later. func_append staticlibs " $file" ;; *.la) func_resolve_sysroot "$file" file=$func_resolve_sysroot_result # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$file" \ || func_fatal_help "'$file' is not a valid libtool archive" library_names= old_library= relink_command= func_source "$file" # Add the libdir to current_libdirs if it is the destination. if test "X$destdir" = "X$libdir"; then case "$current_libdirs " in *" $libdir "*) ;; *) func_append current_libdirs " $libdir" ;; esac else # Note the libdir as a future libdir. case "$future_libdirs " in *" $libdir "*) ;; *) func_append future_libdirs " $libdir" ;; esac fi func_dirname "$file" "/" "" dir=$func_dirname_result func_append dir "$objdir" if test -n "$relink_command"; then # Determine the prefix the user has applied to our future dir. inst_prefix_dir=`$ECHO "$destdir" | $SED -e "s%$libdir\$%%"` # Don't allow the user to place us outside of our expected # location b/c this prevents finding dependent libraries that # are installed to the same prefix. # At present, this check doesn't affect windows .dll's that # are installed into $libdir/../bin (currently, that works fine) # but it's something to keep an eye on. test "$inst_prefix_dir" = "$destdir" && \ func_fatal_error "error: cannot install '$file' to a directory not ending in $libdir" if test -n "$inst_prefix_dir"; then # Stick the inst_prefix_dir data into the link command. relink_command=`$ECHO "$relink_command" | $SED "s%@inst_prefix_dir@%-inst-prefix-dir $inst_prefix_dir%"` else relink_command=`$ECHO "$relink_command" | $SED "s%@inst_prefix_dir@%%"` fi func_warning "relinking '$file'" func_show_eval "$relink_command" \ 'func_fatal_error "error: relink '\''$file'\'' with the above command before installing it"' fi # See the names of the shared library. set dummy $library_names; shift if test -n "$1"; then realname=$1 shift srcname=$realname test -n "$relink_command" && srcname=${realname}T # Install the shared library and build the symlinks. func_show_eval "$install_shared_prog $dir/$srcname $destdir/$realname" \ 'exit $?' tstripme=$stripme case $host_os in cygwin* | mingw* | pw32* | cegcc*) case $realname in *.dll.a) tstripme= ;; esac ;; os2*) case $realname in *_dll.a) tstripme= ;; esac ;; esac if test -n "$tstripme" && test -n "$striplib"; then func_show_eval "$striplib $destdir/$realname" 'exit $?' fi if test "$#" -gt 0; then # Delete the old symlinks, and create new ones. # Try 'ln -sf' first, because the 'ln' binary might depend on # the symlink we replace! Solaris /bin/ln does not understand -f, # so we also need to try rm && ln -s. for linkname do test "$linkname" != "$realname" \ && func_show_eval "(cd $destdir && { $LN_S -f $realname $linkname || { $RM $linkname && $LN_S $realname $linkname; }; })" done fi # Do each command in the postinstall commands. lib=$destdir/$realname func_execute_cmds "$postinstall_cmds" 'exit $?' fi # Install the pseudo-library for information purposes. func_basename "$file" name=$func_basename_result instname=$dir/${name}i func_show_eval "$install_prog $instname $destdir/$name" 'exit $?' # Maybe install the static library, too. test -n "$old_library" && func_append staticlibs " $dir/$old_library" ;; *.lo) # Install (i.e. copy) a libtool object. # Figure out destination file name, if it wasn't already specified. if test -n "$destname"; then destfile=$destdir/$destname else func_basename "$file" destfile=$func_basename_result destfile=$destdir/$destfile fi # Deduce the name of the destination old-style object file. case $destfile in *.lo) func_lo2o "$destfile" staticdest=$func_lo2o_result ;; *.$objext) staticdest=$destfile destfile= ;; *) func_fatal_help "cannot copy a libtool object to '$destfile'" ;; esac # Install the libtool object if requested. test -n "$destfile" && \ func_show_eval "$install_prog $file $destfile" 'exit $?' # Install the old object if enabled. if test yes = "$build_old_libs"; then # Deduce the name of the old-style object file. func_lo2o "$file" staticobj=$func_lo2o_result func_show_eval "$install_prog \$staticobj \$staticdest" 'exit $?' fi exit $EXIT_SUCCESS ;; *) # Figure out destination file name, if it wasn't already specified. if test -n "$destname"; then destfile=$destdir/$destname else func_basename "$file" destfile=$func_basename_result destfile=$destdir/$destfile fi # If the file is missing, and there is a .exe on the end, strip it # because it is most likely a libtool script we actually want to # install stripped_ext= case $file in *.exe) if test ! -f "$file"; then func_stripname '' '.exe' "$file" file=$func_stripname_result stripped_ext=.exe fi ;; esac # Do a test to see if this is really a libtool program. case $host in *cygwin* | *mingw*) if func_ltwrapper_executable_p "$file"; then func_ltwrapper_scriptname "$file" wrapper=$func_ltwrapper_scriptname_result else func_stripname '' '.exe' "$file" wrapper=$func_stripname_result fi ;; *) wrapper=$file ;; esac if func_ltwrapper_script_p "$wrapper"; then notinst_deplibs= relink_command= func_source "$wrapper" # Check the variables that should have been set. test -z "$generated_by_libtool_version" && \ func_fatal_error "invalid libtool wrapper script '$wrapper'" finalize=: for lib in $notinst_deplibs; do # Check to see that each library is installed. libdir= if test -f "$lib"; then func_source "$lib" fi libfile=$libdir/`$ECHO "$lib" | $SED 's%^.*/%%g'` if test -n "$libdir" && test ! -f "$libfile"; then func_warning "'$lib' has not been installed in '$libdir'" finalize=false fi done relink_command= func_source "$wrapper" outputname= if test no = "$fast_install" && test -n "$relink_command"; then $opt_dry_run || { if $finalize; then tmpdir=`func_mktempdir` func_basename "$file$stripped_ext" file=$func_basename_result outputname=$tmpdir/$file # Replace the output file specification. relink_command=`$ECHO "$relink_command" | $SED 's%@OUTPUT@%'"$outputname"'%g'` $opt_quiet || { func_quote_arg expand,pretty "$relink_command" eval "func_echo $func_quote_arg_result" } if eval "$relink_command"; then : else func_error "error: relink '$file' with the above command before installing it" $opt_dry_run || ${RM}r "$tmpdir" continue fi file=$outputname else func_warning "cannot relink '$file'" fi } else # Install the binary that we compiled earlier. file=`$ECHO "$file$stripped_ext" | $SED "s%\([^/]*\)$%$objdir/\1%"` fi fi # remove .exe since cygwin /usr/bin/install will append another # one anyway case $install_prog,$host in */usr/bin/install*,*cygwin*) case $file:$destfile in *.exe:*.exe) # this is ok ;; *.exe:*) destfile=$destfile.exe ;; *:*.exe) func_stripname '' '.exe' "$destfile" destfile=$func_stripname_result ;; esac ;; esac func_show_eval "$install_prog\$stripme \$file \$destfile" 'exit $?' $opt_dry_run || if test -n "$outputname"; then ${RM}r "$tmpdir" fi ;; esac done for file in $staticlibs; do func_basename "$file" name=$func_basename_result # Set up the ranlib parameters. oldlib=$destdir/$name func_to_tool_file "$oldlib" func_convert_file_msys_to_w32 tool_oldlib=$func_to_tool_file_result func_show_eval "$install_prog \$file \$oldlib" 'exit $?' if test -n "$stripme" && test -n "$old_striplib"; then func_show_eval "$old_striplib $tool_oldlib" 'exit $?' fi # Do each command in the postinstall commands. func_execute_cmds "$old_postinstall_cmds" 'exit $?' done test -n "$future_libdirs" && \ func_warning "remember to run '$progname --finish$future_libdirs'" if test -n "$current_libdirs"; then # Maybe just do a dry run. $opt_dry_run && current_libdirs=" -n$current_libdirs" exec_cmd='$SHELL "$progpath" $preserve_args --finish$current_libdirs' else exit $EXIT_SUCCESS fi } test install = "$opt_mode" && func_mode_install ${1+"$@"} # func_generate_dlsyms outputname originator pic_p # Extract symbols from dlprefiles and create ${outputname}S.o with # a dlpreopen symbol table. func_generate_dlsyms () { $debug_cmd my_outputname=$1 my_originator=$2 my_pic_p=${3-false} my_prefix=`$ECHO "$my_originator" | $SED 's%[^a-zA-Z0-9]%_%g'` my_dlsyms= if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then if test -n "$NM" && test -n "$global_symbol_pipe"; then my_dlsyms=${my_outputname}S.c else func_error "not configured to extract global symbols from dlpreopened files" fi fi if test -n "$my_dlsyms"; then case $my_dlsyms in "") ;; *.c) # Discover the nlist of each of the dlfiles. nlist=$output_objdir/$my_outputname.nm func_show_eval "$RM $nlist ${nlist}S ${nlist}T" # Parse the name list into a source file. func_verbose "creating $output_objdir/$my_dlsyms" $opt_dry_run || $ECHO > "$output_objdir/$my_dlsyms" "\ /* $my_dlsyms - symbol resolution table for '$my_outputname' dlsym emulation. */ /* Generated by $PROGRAM (GNU $PACKAGE) $VERSION */ #ifdef __cplusplus extern \"C\" { #endif #if defined __GNUC__ && (((__GNUC__ == 4) && (__GNUC_MINOR__ >= 4)) || (__GNUC__ > 4)) #pragma GCC diagnostic ignored \"-Wstrict-prototypes\" #endif /* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ #if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE /* DATA imports from DLLs on WIN32 can't be const, because runtime relocations are performed -- see ld's documentation on pseudo-relocs. */ # define LT_DLSYM_CONST #elif defined __osf__ /* This system does not cope well with relocations in const data. */ # define LT_DLSYM_CONST #else # define LT_DLSYM_CONST const #endif #define STREQ(s1, s2) (strcmp ((s1), (s2)) == 0) /* External symbol declarations for the compiler. */\ " if test yes = "$dlself"; then func_verbose "generating symbol list for '$output'" $opt_dry_run || echo ': @PROGRAM@ ' > "$nlist" # Add our own program objects to the symbol list. progfiles=`$ECHO "$objs$old_deplibs" | $SP2NL | $SED "$lo2o" | $NL2SP` for progfile in $progfiles; do func_to_tool_file "$progfile" func_convert_file_msys_to_w32 func_verbose "extracting global C symbols from '$func_to_tool_file_result'" $opt_dry_run || eval "$NM $func_to_tool_file_result | $global_symbol_pipe >> '$nlist'" done if test -n "$exclude_expsyms"; then $opt_dry_run || { eval '$EGREP -v " ($exclude_expsyms)$" "$nlist" > "$nlist"T' eval '$MV "$nlist"T "$nlist"' } fi if test -n "$export_symbols_regex"; then $opt_dry_run || { eval '$EGREP -e "$export_symbols_regex" "$nlist" > "$nlist"T' eval '$MV "$nlist"T "$nlist"' } fi # Prepare the list of exported symbols if test -z "$export_symbols"; then export_symbols=$output_objdir/$outputname.exp $opt_dry_run || { $RM $export_symbols eval "$SED -n -e '/^: @PROGRAM@ $/d' -e 's/^.* \(.*\)$/\1/p' "'< "$nlist" > "$export_symbols"' case $host in *cygwin* | *mingw* | *cegcc* ) eval "echo EXPORTS "'> "$output_objdir/$outputname.def"' eval 'cat "$export_symbols" >> "$output_objdir/$outputname.def"' ;; esac } else $opt_dry_run || { eval "$SED -e 's/\([].[*^$]\)/\\\\\1/g' -e 's/^/ /' -e 's/$/$/'"' < "$export_symbols" > "$output_objdir/$outputname.exp"' eval '$GREP -f "$output_objdir/$outputname.exp" < "$nlist" > "$nlist"T' eval '$MV "$nlist"T "$nlist"' case $host in *cygwin* | *mingw* | *cegcc* ) eval "echo EXPORTS "'> "$output_objdir/$outputname.def"' eval 'cat "$nlist" >> "$output_objdir/$outputname.def"' ;; esac } fi fi for dlprefile in $dlprefiles; do func_verbose "extracting global C symbols from '$dlprefile'" func_basename "$dlprefile" name=$func_basename_result case $host in *cygwin* | *mingw* | *cegcc* ) # if an import library, we need to obtain dlname if func_win32_import_lib_p "$dlprefile"; then func_tr_sh "$dlprefile" eval "curr_lafile=\$libfile_$func_tr_sh_result" dlprefile_dlbasename= if test -n "$curr_lafile" && func_lalib_p "$curr_lafile"; then # Use subshell, to avoid clobbering current variable values dlprefile_dlname=`source "$curr_lafile" && echo "$dlname"` if test -n "$dlprefile_dlname"; then func_basename "$dlprefile_dlname" dlprefile_dlbasename=$func_basename_result else # no lafile. user explicitly requested -dlpreopen . $sharedlib_from_linklib_cmd "$dlprefile" dlprefile_dlbasename=$sharedlib_from_linklib_result fi fi $opt_dry_run || { if test -n "$dlprefile_dlbasename"; then eval '$ECHO ": $dlprefile_dlbasename" >> "$nlist"' else func_warning "Could not compute DLL name from $name" eval '$ECHO ": $name " >> "$nlist"' fi func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe | $SED -e '/I __imp/d' -e 's/I __nm_/D /;s/_nm__//' >> '$nlist'" } else # not an import lib $opt_dry_run || { eval '$ECHO ": $name " >> "$nlist"' func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe >> '$nlist'" } fi ;; *) $opt_dry_run || { eval '$ECHO ": $name " >> "$nlist"' func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe >> '$nlist'" } ;; esac done $opt_dry_run || { # Make sure we have at least an empty file. test -f "$nlist" || : > "$nlist" if test -n "$exclude_expsyms"; then $EGREP -v " ($exclude_expsyms)$" "$nlist" > "$nlist"T $MV "$nlist"T "$nlist" fi # Try sorting and uniquifying the output. if $GREP -v "^: " < "$nlist" | if sort -k 3 /dev/null 2>&1; then sort -k 3 else sort +2 fi | uniq > "$nlist"S; then : else $GREP -v "^: " < "$nlist" > "$nlist"S fi if test -f "$nlist"S; then eval "$global_symbol_to_cdecl"' < "$nlist"S >> "$output_objdir/$my_dlsyms"' else echo '/* NONE */' >> "$output_objdir/$my_dlsyms" fi func_show_eval '$RM "${nlist}I"' if test -n "$global_symbol_to_import"; then eval "$global_symbol_to_import"' < "$nlist"S > "$nlist"I' fi echo >> "$output_objdir/$my_dlsyms" "\ /* The mapping between symbol names and symbols. */ typedef struct { const char *name; void *address; } lt_dlsymlist; extern LT_DLSYM_CONST lt_dlsymlist lt_${my_prefix}_LTX_preloaded_symbols[];\ " if test -s "$nlist"I; then echo >> "$output_objdir/$my_dlsyms" "\ static void lt_syminit(void) { LT_DLSYM_CONST lt_dlsymlist *symbol = lt_${my_prefix}_LTX_preloaded_symbols; for (; symbol->name; ++symbol) {" $SED 's/.*/ if (STREQ (symbol->name, \"&\")) symbol->address = (void *) \&&;/' < "$nlist"I >> "$output_objdir/$my_dlsyms" echo >> "$output_objdir/$my_dlsyms" "\ } }" fi echo >> "$output_objdir/$my_dlsyms" "\ LT_DLSYM_CONST lt_dlsymlist lt_${my_prefix}_LTX_preloaded_symbols[] = { {\"$my_originator\", (void *) 0}," if test -s "$nlist"I; then echo >> "$output_objdir/$my_dlsyms" "\ {\"@INIT@\", (void *) <_syminit}," fi case $need_lib_prefix in no) eval "$global_symbol_to_c_name_address" < "$nlist" >> "$output_objdir/$my_dlsyms" ;; *) eval "$global_symbol_to_c_name_address_lib_prefix" < "$nlist" >> "$output_objdir/$my_dlsyms" ;; esac echo >> "$output_objdir/$my_dlsyms" "\ {0, (void *) 0} }; /* This works around a problem in FreeBSD linker */ #ifdef FREEBSD_WORKAROUND static const void *lt_preloaded_setup() { return lt_${my_prefix}_LTX_preloaded_symbols; } #endif #ifdef __cplusplus } #endif\ " } # !$opt_dry_run pic_flag_for_symtable= case "$compile_command " in *" -static "*) ;; *) case $host in # compiling the symbol table file with pic_flag works around # a FreeBSD bug that causes programs to crash when -lm is # linked before any other PIC object. But we must not use # pic_flag when linking with -static. The problem exists in # FreeBSD 2.2.6 and is fixed in FreeBSD 3.1. *-*-freebsd2.*|*-*-freebsd3.0*|*-*-freebsdelf3.0*) pic_flag_for_symtable=" $pic_flag -DFREEBSD_WORKAROUND" ;; *-*-hpux*) pic_flag_for_symtable=" $pic_flag" ;; *) $my_pic_p && pic_flag_for_symtable=" $pic_flag" ;; esac ;; esac symtab_cflags= for arg in $LTCFLAGS; do case $arg in -pie | -fpie | -fPIE) ;; *) func_append symtab_cflags " $arg" ;; esac done # Now compile the dynamic symbol file. func_show_eval '(cd $output_objdir && $LTCC$symtab_cflags -c$no_builtin_flag$pic_flag_for_symtable "$my_dlsyms")' 'exit $?' # Clean up the generated files. func_show_eval '$RM "$output_objdir/$my_dlsyms" "$nlist" "${nlist}S" "${nlist}T" "${nlist}I"' # Transform the symbol file into the correct name. symfileobj=$output_objdir/${my_outputname}S.$objext case $host in *cygwin* | *mingw* | *cegcc* ) if test -f "$output_objdir/$my_outputname.def"; then compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` else compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$symfileobj%"` finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$symfileobj%"` fi ;; *) compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$symfileobj%"` finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$symfileobj%"` ;; esac ;; *) func_fatal_error "unknown suffix for '$my_dlsyms'" ;; esac else # We keep going just in case the user didn't refer to # lt_preloaded_symbols. The linker will fail if global_symbol_pipe # really was required. # Nullify the symbol file. compile_command=`$ECHO "$compile_command" | $SED "s% @SYMFILE@%%"` finalize_command=`$ECHO "$finalize_command" | $SED "s% @SYMFILE@%%"` fi } # func_cygming_gnu_implib_p ARG # This predicate returns with zero status (TRUE) if # ARG is a GNU/binutils-style import library. Returns # with nonzero status (FALSE) otherwise. func_cygming_gnu_implib_p () { $debug_cmd func_to_tool_file "$1" func_convert_file_msys_to_w32 func_cygming_gnu_implib_tmp=`$NM "$func_to_tool_file_result" | eval "$global_symbol_pipe" | $EGREP ' (_head_[A-Za-z0-9_]+_[ad]l*|[A-Za-z0-9_]+_[ad]l*_iname)$'` test -n "$func_cygming_gnu_implib_tmp" } # func_cygming_ms_implib_p ARG # This predicate returns with zero status (TRUE) if # ARG is an MS-style import library. Returns # with nonzero status (FALSE) otherwise. func_cygming_ms_implib_p () { $debug_cmd func_to_tool_file "$1" func_convert_file_msys_to_w32 func_cygming_ms_implib_tmp=`$NM "$func_to_tool_file_result" | eval "$global_symbol_pipe" | $GREP '_NULL_IMPORT_DESCRIPTOR'` test -n "$func_cygming_ms_implib_tmp" } # func_win32_libid arg # return the library type of file 'arg' # # Need a lot of goo to handle *both* DLLs and import libs # Has to be a shell function in order to 'eat' the argument # that is supplied when $file_magic_command is called. # Despite the name, also deal with 64 bit binaries. func_win32_libid () { $debug_cmd win32_libid_type=unknown win32_fileres=`file -L $1 2>/dev/null` case $win32_fileres in *ar\ archive\ import\ library*) # definitely import win32_libid_type="x86 archive import" ;; *ar\ archive*) # could be an import, or static # Keep the egrep pattern in sync with the one in _LT_CHECK_MAGIC_METHOD. if eval $OBJDUMP -f $1 | $SED -e '10q' 2>/dev/null | $EGREP 'file format (pei*-i386(.*architecture: i386)?|pe-arm-wince|pe-x86-64)' >/dev/null; then case $nm_interface in "MS dumpbin") if func_cygming_ms_implib_p "$1" || func_cygming_gnu_implib_p "$1" then win32_nmres=import else win32_nmres= fi ;; *) func_to_tool_file "$1" func_convert_file_msys_to_w32 win32_nmres=`eval $NM -f posix -A \"$func_to_tool_file_result\" | $SED -n -e ' 1,100{ / I /{ s|.*|import| p q } }'` ;; esac case $win32_nmres in import*) win32_libid_type="x86 archive import";; *) win32_libid_type="x86 archive static";; esac fi ;; *DLL*) win32_libid_type="x86 DLL" ;; *executable*) # but shell scripts are "executable" too... case $win32_fileres in *MS\ Windows\ PE\ Intel*) win32_libid_type="x86 DLL" ;; esac ;; esac $ECHO "$win32_libid_type" } # func_cygming_dll_for_implib ARG # # Platform-specific function to extract the # name of the DLL associated with the specified # import library ARG. # Invoked by eval'ing the libtool variable # $sharedlib_from_linklib_cmd # Result is available in the variable # $sharedlib_from_linklib_result func_cygming_dll_for_implib () { $debug_cmd sharedlib_from_linklib_result=`$DLLTOOL --identify-strict --identify "$1"` } # func_cygming_dll_for_implib_fallback_core SECTION_NAME LIBNAMEs # # The is the core of a fallback implementation of a # platform-specific function to extract the name of the # DLL associated with the specified import library LIBNAME. # # SECTION_NAME is either .idata$6 or .idata$7, depending # on the platform and compiler that created the implib. # # Echos the name of the DLL associated with the # specified import library. func_cygming_dll_for_implib_fallback_core () { $debug_cmd match_literal=`$ECHO "$1" | $SED "$sed_make_literal_regex"` $OBJDUMP -s --section "$1" "$2" 2>/dev/null | $SED '/^Contents of section '"$match_literal"':/{ # Place marker at beginning of archive member dllname section s/.*/====MARK====/ p d } # These lines can sometimes be longer than 43 characters, but # are always uninteresting /:[ ]*file format pe[i]\{,1\}-/d /^In archive [^:]*:/d # Ensure marker is printed /^====MARK====/p # Remove all lines with less than 43 characters /^.\{43\}/!d # From remaining lines, remove first 43 characters s/^.\{43\}//' | $SED -n ' # Join marker and all lines until next marker into a single line /^====MARK====/ b para H $ b para b :para x s/\n//g # Remove the marker s/^====MARK====// # Remove trailing dots and whitespace s/[\. \t]*$// # Print /./p' | # we now have a list, one entry per line, of the stringified # contents of the appropriate section of all members of the # archive that possess that section. Heuristic: eliminate # all those that have a first or second character that is # a '.' (that is, objdump's representation of an unprintable # character.) This should work for all archives with less than # 0x302f exports -- but will fail for DLLs whose name actually # begins with a literal '.' or a single character followed by # a '.'. # # Of those that remain, print the first one. $SED -e '/^\./d;/^.\./d;q' } # func_cygming_dll_for_implib_fallback ARG # Platform-specific function to extract the # name of the DLL associated with the specified # import library ARG. # # This fallback implementation is for use when $DLLTOOL # does not support the --identify-strict option. # Invoked by eval'ing the libtool variable # $sharedlib_from_linklib_cmd # Result is available in the variable # $sharedlib_from_linklib_result func_cygming_dll_for_implib_fallback () { $debug_cmd if func_cygming_gnu_implib_p "$1"; then # binutils import library sharedlib_from_linklib_result=`func_cygming_dll_for_implib_fallback_core '.idata$7' "$1"` elif func_cygming_ms_implib_p "$1"; then # ms-generated import library sharedlib_from_linklib_result=`func_cygming_dll_for_implib_fallback_core '.idata$6' "$1"` else # unknown sharedlib_from_linklib_result= fi } # func_extract_an_archive dir oldlib func_extract_an_archive () { $debug_cmd f_ex_an_ar_dir=$1; shift f_ex_an_ar_oldlib=$1 if test yes = "$lock_old_archive_extraction"; then lockfile=$f_ex_an_ar_oldlib.lock until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do func_echo "Waiting for $lockfile to be removed" sleep 2 done fi func_show_eval "(cd \$f_ex_an_ar_dir && $AR x \"\$f_ex_an_ar_oldlib\")" \ 'stat=$?; rm -f "$lockfile"; exit $stat' if test yes = "$lock_old_archive_extraction"; then $opt_dry_run || rm -f "$lockfile" fi if ($AR t "$f_ex_an_ar_oldlib" | sort | sort -uc >/dev/null 2>&1); then : else func_fatal_error "object name conflicts in archive: $f_ex_an_ar_dir/$f_ex_an_ar_oldlib" fi } # func_extract_archives gentop oldlib ... func_extract_archives () { $debug_cmd my_gentop=$1; shift my_oldlibs=${1+"$@"} my_oldobjs= my_xlib= my_xabs= my_xdir= for my_xlib in $my_oldlibs; do # Extract the objects. case $my_xlib in [\\/]* | [A-Za-z]:[\\/]*) my_xabs=$my_xlib ;; *) my_xabs=`pwd`"/$my_xlib" ;; esac func_basename "$my_xlib" my_xlib=$func_basename_result my_xlib_u=$my_xlib while :; do case " $extracted_archives " in *" $my_xlib_u "*) func_arith $extracted_serial + 1 extracted_serial=$func_arith_result my_xlib_u=lt$extracted_serial-$my_xlib ;; *) break ;; esac done extracted_archives="$extracted_archives $my_xlib_u" my_xdir=$my_gentop/$my_xlib_u func_mkdir_p "$my_xdir" case $host in *-darwin*) func_verbose "Extracting $my_xabs" # Do not bother doing anything if just a dry run $opt_dry_run || { darwin_orig_dir=`pwd` cd $my_xdir || exit $? darwin_archive=$my_xabs darwin_curdir=`pwd` func_basename "$darwin_archive" darwin_base_archive=$func_basename_result darwin_arches=`$LIPO -info "$darwin_archive" 2>/dev/null | $GREP Architectures 2>/dev/null || true` if test -n "$darwin_arches"; then darwin_arches=`$ECHO "$darwin_arches" | $SED -e 's/.*are://'` darwin_arch= func_verbose "$darwin_base_archive has multiple architectures $darwin_arches" for darwin_arch in $darwin_arches; do func_mkdir_p "unfat-$$/$darwin_base_archive-$darwin_arch" $LIPO -thin $darwin_arch -output "unfat-$$/$darwin_base_archive-$darwin_arch/$darwin_base_archive" "$darwin_archive" cd "unfat-$$/$darwin_base_archive-$darwin_arch" func_extract_an_archive "`pwd`" "$darwin_base_archive" cd "$darwin_curdir" $RM "unfat-$$/$darwin_base_archive-$darwin_arch/$darwin_base_archive" done # $darwin_arches ## Okay now we've a bunch of thin objects, gotta fatten them up :) darwin_filelist=`find unfat-$$ -type f -name \*.o -print -o -name \*.lo -print | $SED -e "$sed_basename" | sort -u` darwin_file= darwin_files= for darwin_file in $darwin_filelist; do darwin_files=`find unfat-$$ -name $darwin_file -print | sort | $NL2SP` $LIPO -create -output "$darwin_file" $darwin_files done # $darwin_filelist $RM -rf unfat-$$ cd "$darwin_orig_dir" else cd $darwin_orig_dir func_extract_an_archive "$my_xdir" "$my_xabs" fi # $darwin_arches } # !$opt_dry_run ;; *) func_extract_an_archive "$my_xdir" "$my_xabs" ;; esac my_oldobjs="$my_oldobjs "`find $my_xdir -name \*.$objext -print -o -name \*.lo -print | sort | $NL2SP` done func_extract_archives_result=$my_oldobjs } # func_emit_wrapper [arg=no] # # Emit a libtool wrapper script on stdout. # Don't directly open a file because we may want to # incorporate the script contents within a cygwin/mingw # wrapper executable. Must ONLY be called from within # func_mode_link because it depends on a number of variables # set therein. # # ARG is the value that the WRAPPER_SCRIPT_BELONGS_IN_OBJDIR # variable will take. If 'yes', then the emitted script # will assume that the directory where it is stored is # the $objdir directory. This is a cygwin/mingw-specific # behavior. func_emit_wrapper () { func_emit_wrapper_arg1=${1-no} $ECHO "\ #! $SHELL # $output - temporary wrapper script for $objdir/$outputname # Generated by $PROGRAM (GNU $PACKAGE) $VERSION # # The $output program cannot be directly executed until all the libtool # libraries that it depends on are installed. # # This wrapper script should never be moved out of the build directory. # If it is, it will not operate correctly. # Sed substitution that helps us do robust quoting. It backslashifies # metacharacters that are still active within double-quoted strings. sed_quote_subst='$sed_quote_subst' # Be Bourne compatible if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then emulate sh NULLCMD=: # Zsh 3.x and 4.x performs word splitting on \${1+\"\$@\"}, which # is contrary to our usage. Disable this feature. alias -g '\${1+\"\$@\"}'='\"\$@\"' setopt NO_GLOB_SUBST else case \`(set -o) 2>/dev/null\` in *posix*) set -o posix;; esac fi BIN_SH=xpg4; export BIN_SH # for Tru64 DUALCASE=1; export DUALCASE # for MKS sh # The HP-UX ksh and POSIX shell print the target directory to stdout # if CDPATH is set. (unset CDPATH) >/dev/null 2>&1 && unset CDPATH relink_command=\"$relink_command\" # This environment variable determines our operation mode. if test \"\$libtool_install_magic\" = \"$magic\"; then # install mode needs the following variables: generated_by_libtool_version='$macro_version' notinst_deplibs='$notinst_deplibs' else # When we are sourced in execute mode, \$file and \$ECHO are already set. if test \"\$libtool_execute_magic\" != \"$magic\"; then file=\"\$0\"" func_quote_arg pretty "$ECHO" qECHO=$func_quote_arg_result $ECHO "\ # A function that is used when there is no print builtin or printf. func_fallback_echo () { eval 'cat <<_LTECHO_EOF \$1 _LTECHO_EOF' } ECHO=$qECHO fi # Very basic option parsing. These options are (a) specific to # the libtool wrapper, (b) are identical between the wrapper # /script/ and the wrapper /executable/ that is used only on # windows platforms, and (c) all begin with the string "--lt-" # (application programs are unlikely to have options that match # this pattern). # # There are only two supported options: --lt-debug and # --lt-dump-script. There is, deliberately, no --lt-help. # # The first argument to this parsing function should be the # script's $0 value, followed by "$@". lt_option_debug= func_parse_lt_options () { lt_script_arg0=\$0 shift for lt_opt do case \"\$lt_opt\" in --lt-debug) lt_option_debug=1 ;; --lt-dump-script) lt_dump_D=\`\$ECHO \"X\$lt_script_arg0\" | $SED -e 's/^X//' -e 's%/[^/]*$%%'\` test \"X\$lt_dump_D\" = \"X\$lt_script_arg0\" && lt_dump_D=. lt_dump_F=\`\$ECHO \"X\$lt_script_arg0\" | $SED -e 's/^X//' -e 's%^.*/%%'\` cat \"\$lt_dump_D/\$lt_dump_F\" exit 0 ;; --lt-*) \$ECHO \"Unrecognized --lt- option: '\$lt_opt'\" 1>&2 exit 1 ;; esac done # Print the debug banner immediately: if test -n \"\$lt_option_debug\"; then echo \"$outputname:$output:\$LINENO: libtool wrapper (GNU $PACKAGE) $VERSION\" 1>&2 fi } # Used when --lt-debug. Prints its arguments to stdout # (redirection is the responsibility of the caller) func_lt_dump_args () { lt_dump_args_N=1; for lt_arg do \$ECHO \"$outputname:$output:\$LINENO: newargv[\$lt_dump_args_N]: \$lt_arg\" lt_dump_args_N=\`expr \$lt_dump_args_N + 1\` done } # Core function for launching the target application func_exec_program_core () { " case $host in # Backslashes separate directories on plain windows *-*-mingw | *-*-os2* | *-cegcc*) $ECHO "\ if test -n \"\$lt_option_debug\"; then \$ECHO \"$outputname:$output:\$LINENO: newargv[0]: \$progdir\\\\\$program\" 1>&2 func_lt_dump_args \${1+\"\$@\"} 1>&2 fi exec \"\$progdir\\\\\$program\" \${1+\"\$@\"} " ;; *) $ECHO "\ if test -n \"\$lt_option_debug\"; then \$ECHO \"$outputname:$output:\$LINENO: newargv[0]: \$progdir/\$program\" 1>&2 func_lt_dump_args \${1+\"\$@\"} 1>&2 fi exec \"\$progdir/\$program\" \${1+\"\$@\"} " ;; esac $ECHO "\ \$ECHO \"\$0: cannot exec \$program \$*\" 1>&2 exit 1 } # A function to encapsulate launching the target application # Strips options in the --lt-* namespace from \$@ and # launches target application with the remaining arguments. func_exec_program () { case \" \$* \" in *\\ --lt-*) for lt_wr_arg do case \$lt_wr_arg in --lt-*) ;; *) set x \"\$@\" \"\$lt_wr_arg\"; shift;; esac shift done ;; esac func_exec_program_core \${1+\"\$@\"} } # Parse options func_parse_lt_options \"\$0\" \${1+\"\$@\"} # Find the directory that this script lives in. thisdir=\`\$ECHO \"\$file\" | $SED 's%/[^/]*$%%'\` test \"x\$thisdir\" = \"x\$file\" && thisdir=. # Follow symbolic links until we get to the real thisdir. file=\`ls -ld \"\$file\" | $SED -n 's/.*-> //p'\` while test -n \"\$file\"; do destdir=\`\$ECHO \"\$file\" | $SED 's%/[^/]*\$%%'\` # If there was a directory component, then change thisdir. if test \"x\$destdir\" != \"x\$file\"; then case \"\$destdir\" in [\\\\/]* | [A-Za-z]:[\\\\/]*) thisdir=\"\$destdir\" ;; *) thisdir=\"\$thisdir/\$destdir\" ;; esac fi file=\`\$ECHO \"\$file\" | $SED 's%^.*/%%'\` file=\`ls -ld \"\$thisdir/\$file\" | $SED -n 's/.*-> //p'\` done # Usually 'no', except on cygwin/mingw when embedded into # the cwrapper. WRAPPER_SCRIPT_BELONGS_IN_OBJDIR=$func_emit_wrapper_arg1 if test \"\$WRAPPER_SCRIPT_BELONGS_IN_OBJDIR\" = \"yes\"; then # special case for '.' if test \"\$thisdir\" = \".\"; then thisdir=\`pwd\` fi # remove .libs from thisdir case \"\$thisdir\" in *[\\\\/]$objdir ) thisdir=\`\$ECHO \"\$thisdir\" | $SED 's%[\\\\/][^\\\\/]*$%%'\` ;; $objdir ) thisdir=. ;; esac fi # Try to get the absolute directory name. absdir=\`cd \"\$thisdir\" && pwd\` test -n \"\$absdir\" && thisdir=\"\$absdir\" " if test yes = "$fast_install"; then $ECHO "\ program=lt-'$outputname'$exeext progdir=\"\$thisdir/$objdir\" if test ! -f \"\$progdir/\$program\" || { file=\`ls -1dt \"\$progdir/\$program\" \"\$progdir/../\$program\" 2>/dev/null | $SED 1q\`; \\ test \"X\$file\" != \"X\$progdir/\$program\"; }; then file=\"\$\$-\$program\" if test ! -d \"\$progdir\"; then $MKDIR \"\$progdir\" else $RM \"\$progdir/\$file\" fi" $ECHO "\ # relink executable if necessary if test -n \"\$relink_command\"; then if relink_command_output=\`eval \$relink_command 2>&1\`; then : else \$ECHO \"\$relink_command_output\" >&2 $RM \"\$progdir/\$file\" exit 1 fi fi $MV \"\$progdir/\$file\" \"\$progdir/\$program\" 2>/dev/null || { $RM \"\$progdir/\$program\"; $MV \"\$progdir/\$file\" \"\$progdir/\$program\"; } $RM \"\$progdir/\$file\" fi" else $ECHO "\ program='$outputname' progdir=\"\$thisdir/$objdir\" " fi $ECHO "\ if test -f \"\$progdir/\$program\"; then" # fixup the dll searchpath if we need to. # # Fix the DLL searchpath if we need to. Do this before prepending # to shlibpath, because on Windows, both are PATH and uninstalled # libraries must come first. if test -n "$dllsearchpath"; then $ECHO "\ # Add the dll search path components to the executable PATH PATH=$dllsearchpath:\$PATH " fi # Export our shlibpath_var if we have one. if test yes = "$shlibpath_overrides_runpath" && test -n "$shlibpath_var" && test -n "$temp_rpath"; then $ECHO "\ # Add our own library path to $shlibpath_var $shlibpath_var=\"$temp_rpath\$$shlibpath_var\" # Some systems cannot cope with colon-terminated $shlibpath_var # The second colon is a workaround for a bug in BeOS R4 sed $shlibpath_var=\`\$ECHO \"\$$shlibpath_var\" | $SED 's/::*\$//'\` export $shlibpath_var " fi $ECHO "\ if test \"\$libtool_execute_magic\" != \"$magic\"; then # Run the actual program with our arguments. func_exec_program \${1+\"\$@\"} fi else # The program doesn't exist. \$ECHO \"\$0: error: '\$progdir/\$program' does not exist\" 1>&2 \$ECHO \"This script is just a wrapper for \$program.\" 1>&2 \$ECHO \"See the $PACKAGE documentation for more information.\" 1>&2 exit 1 fi fi\ " } # func_emit_cwrapperexe_src # emit the source code for a wrapper executable on stdout # Must ONLY be called from within func_mode_link because # it depends on a number of variable set therein. func_emit_cwrapperexe_src () { cat < #include #ifdef _MSC_VER # include # include # include #else # include # include # ifdef __CYGWIN__ # include # endif #endif #include #include #include #include #include #include #include #include #define STREQ(s1, s2) (strcmp ((s1), (s2)) == 0) /* declarations of non-ANSI functions */ #if defined __MINGW32__ # ifdef __STRICT_ANSI__ int _putenv (const char *); # endif #elif defined __CYGWIN__ # ifdef __STRICT_ANSI__ char *realpath (const char *, char *); int putenv (char *); int setenv (const char *, const char *, int); # endif /* #elif defined other_platform || defined ... */ #endif /* portability defines, excluding path handling macros */ #if defined _MSC_VER # define setmode _setmode # define stat _stat # define chmod _chmod # define getcwd _getcwd # define putenv _putenv # define S_IXUSR _S_IEXEC #elif defined __MINGW32__ # define setmode _setmode # define stat _stat # define chmod _chmod # define getcwd _getcwd # define putenv _putenv #elif defined __CYGWIN__ # define HAVE_SETENV # define FOPEN_WB "wb" /* #elif defined other platforms ... */ #endif #if defined PATH_MAX # define LT_PATHMAX PATH_MAX #elif defined MAXPATHLEN # define LT_PATHMAX MAXPATHLEN #else # define LT_PATHMAX 1024 #endif #ifndef S_IXOTH # define S_IXOTH 0 #endif #ifndef S_IXGRP # define S_IXGRP 0 #endif /* path handling portability macros */ #ifndef DIR_SEPARATOR # define DIR_SEPARATOR '/' # define PATH_SEPARATOR ':' #endif #if defined _WIN32 || defined __MSDOS__ || defined __DJGPP__ || \ defined __OS2__ # define HAVE_DOS_BASED_FILE_SYSTEM # define FOPEN_WB "wb" # ifndef DIR_SEPARATOR_2 # define DIR_SEPARATOR_2 '\\' # endif # ifndef PATH_SEPARATOR_2 # define PATH_SEPARATOR_2 ';' # endif #endif #ifndef DIR_SEPARATOR_2 # define IS_DIR_SEPARATOR(ch) ((ch) == DIR_SEPARATOR) #else /* DIR_SEPARATOR_2 */ # define IS_DIR_SEPARATOR(ch) \ (((ch) == DIR_SEPARATOR) || ((ch) == DIR_SEPARATOR_2)) #endif /* DIR_SEPARATOR_2 */ #ifndef PATH_SEPARATOR_2 # define IS_PATH_SEPARATOR(ch) ((ch) == PATH_SEPARATOR) #else /* PATH_SEPARATOR_2 */ # define IS_PATH_SEPARATOR(ch) ((ch) == PATH_SEPARATOR_2) #endif /* PATH_SEPARATOR_2 */ #ifndef FOPEN_WB # define FOPEN_WB "w" #endif #ifndef _O_BINARY # define _O_BINARY 0 #endif #define XMALLOC(type, num) ((type *) xmalloc ((num) * sizeof(type))) #define XFREE(stale) do { \ if (stale) { free (stale); stale = 0; } \ } while (0) #if defined LT_DEBUGWRAPPER static int lt_debug = 1; #else static int lt_debug = 0; #endif const char *program_name = "libtool-wrapper"; /* in case xstrdup fails */ void *xmalloc (size_t num); char *xstrdup (const char *string); const char *base_name (const char *name); char *find_executable (const char *wrapper); char *chase_symlinks (const char *pathspec); int make_executable (const char *path); int check_executable (const char *path); char *strendzap (char *str, const char *pat); void lt_debugprintf (const char *file, int line, const char *fmt, ...); void lt_fatal (const char *file, int line, const char *message, ...); static const char *nonnull (const char *s); static const char *nonempty (const char *s); void lt_setenv (const char *name, const char *value); char *lt_extend_str (const char *orig_value, const char *add, int to_end); void lt_update_exe_path (const char *name, const char *value); void lt_update_lib_path (const char *name, const char *value); char **prepare_spawn (char **argv); void lt_dump_script (FILE *f); EOF cat <= 0) && (st.st_mode & (S_IXUSR | S_IXGRP | S_IXOTH))) return 1; else return 0; } int make_executable (const char *path) { int rval = 0; struct stat st; lt_debugprintf (__FILE__, __LINE__, "(make_executable): %s\n", nonempty (path)); if ((!path) || (!*path)) return 0; if (stat (path, &st) >= 0) { rval = chmod (path, st.st_mode | S_IXOTH | S_IXGRP | S_IXUSR); } return rval; } /* Searches for the full path of the wrapper. Returns newly allocated full path name if found, NULL otherwise Does not chase symlinks, even on platforms that support them. */ char * find_executable (const char *wrapper) { int has_slash = 0; const char *p; const char *p_next; /* static buffer for getcwd */ char tmp[LT_PATHMAX + 1]; size_t tmp_len; char *concat_name; lt_debugprintf (__FILE__, __LINE__, "(find_executable): %s\n", nonempty (wrapper)); if ((wrapper == NULL) || (*wrapper == '\0')) return NULL; /* Absolute path? */ #if defined HAVE_DOS_BASED_FILE_SYSTEM if (isalpha ((unsigned char) wrapper[0]) && wrapper[1] == ':') { concat_name = xstrdup (wrapper); if (check_executable (concat_name)) return concat_name; XFREE (concat_name); } else { #endif if (IS_DIR_SEPARATOR (wrapper[0])) { concat_name = xstrdup (wrapper); if (check_executable (concat_name)) return concat_name; XFREE (concat_name); } #if defined HAVE_DOS_BASED_FILE_SYSTEM } #endif for (p = wrapper; *p; p++) if (*p == '/') { has_slash = 1; break; } if (!has_slash) { /* no slashes; search PATH */ const char *path = getenv ("PATH"); if (path != NULL) { for (p = path; *p; p = p_next) { const char *q; size_t p_len; for (q = p; *q; q++) if (IS_PATH_SEPARATOR (*q)) break; p_len = (size_t) (q - p); p_next = (*q == '\0' ? q : q + 1); if (p_len == 0) { /* empty path: current directory */ if (getcwd (tmp, LT_PATHMAX) == NULL) lt_fatal (__FILE__, __LINE__, "getcwd failed: %s", nonnull (strerror (errno))); tmp_len = strlen (tmp); concat_name = XMALLOC (char, tmp_len + 1 + strlen (wrapper) + 1); memcpy (concat_name, tmp, tmp_len); concat_name[tmp_len] = '/'; strcpy (concat_name + tmp_len + 1, wrapper); } else { concat_name = XMALLOC (char, p_len + 1 + strlen (wrapper) + 1); memcpy (concat_name, p, p_len); concat_name[p_len] = '/'; strcpy (concat_name + p_len + 1, wrapper); } if (check_executable (concat_name)) return concat_name; XFREE (concat_name); } } /* not found in PATH; assume curdir */ } /* Relative path | not found in path: prepend cwd */ if (getcwd (tmp, LT_PATHMAX) == NULL) lt_fatal (__FILE__, __LINE__, "getcwd failed: %s", nonnull (strerror (errno))); tmp_len = strlen (tmp); concat_name = XMALLOC (char, tmp_len + 1 + strlen (wrapper) + 1); memcpy (concat_name, tmp, tmp_len); concat_name[tmp_len] = '/'; strcpy (concat_name + tmp_len + 1, wrapper); if (check_executable (concat_name)) return concat_name; XFREE (concat_name); return NULL; } char * chase_symlinks (const char *pathspec) { #ifndef S_ISLNK return xstrdup (pathspec); #else char buf[LT_PATHMAX]; struct stat s; char *tmp_pathspec = xstrdup (pathspec); char *p; int has_symlinks = 0; while (strlen (tmp_pathspec) && !has_symlinks) { lt_debugprintf (__FILE__, __LINE__, "checking path component for symlinks: %s\n", tmp_pathspec); if (lstat (tmp_pathspec, &s) == 0) { if (S_ISLNK (s.st_mode) != 0) { has_symlinks = 1; break; } /* search backwards for last DIR_SEPARATOR */ p = tmp_pathspec + strlen (tmp_pathspec) - 1; while ((p > tmp_pathspec) && (!IS_DIR_SEPARATOR (*p))) p--; if ((p == tmp_pathspec) && (!IS_DIR_SEPARATOR (*p))) { /* no more DIR_SEPARATORS left */ break; } *p = '\0'; } else { lt_fatal (__FILE__, __LINE__, "error accessing file \"%s\": %s", tmp_pathspec, nonnull (strerror (errno))); } } XFREE (tmp_pathspec); if (!has_symlinks) { return xstrdup (pathspec); } tmp_pathspec = realpath (pathspec, buf); if (tmp_pathspec == 0) { lt_fatal (__FILE__, __LINE__, "could not follow symlinks for %s", pathspec); } return xstrdup (tmp_pathspec); #endif } char * strendzap (char *str, const char *pat) { size_t len, patlen; assert (str != NULL); assert (pat != NULL); len = strlen (str); patlen = strlen (pat); if (patlen <= len) { str += len - patlen; if (STREQ (str, pat)) *str = '\0'; } return str; } void lt_debugprintf (const char *file, int line, const char *fmt, ...) { va_list args; if (lt_debug) { (void) fprintf (stderr, "%s:%s:%d: ", program_name, file, line); va_start (args, fmt); (void) vfprintf (stderr, fmt, args); va_end (args); } } static void lt_error_core (int exit_status, const char *file, int line, const char *mode, const char *message, va_list ap) { fprintf (stderr, "%s:%s:%d: %s: ", program_name, file, line, mode); vfprintf (stderr, message, ap); fprintf (stderr, ".\n"); if (exit_status >= 0) exit (exit_status); } void lt_fatal (const char *file, int line, const char *message, ...) { va_list ap; va_start (ap, message); lt_error_core (EXIT_FAILURE, file, line, "FATAL", message, ap); va_end (ap); } static const char * nonnull (const char *s) { return s ? s : "(null)"; } static const char * nonempty (const char *s) { return (s && !*s) ? "(empty)" : nonnull (s); } void lt_setenv (const char *name, const char *value) { lt_debugprintf (__FILE__, __LINE__, "(lt_setenv) setting '%s' to '%s'\n", nonnull (name), nonnull (value)); { #ifdef HAVE_SETENV /* always make a copy, for consistency with !HAVE_SETENV */ char *str = xstrdup (value); setenv (name, str, 1); #else size_t len = strlen (name) + 1 + strlen (value) + 1; char *str = XMALLOC (char, len); sprintf (str, "%s=%s", name, value); if (putenv (str) != EXIT_SUCCESS) { XFREE (str); } #endif } } char * lt_extend_str (const char *orig_value, const char *add, int to_end) { char *new_value; if (orig_value && *orig_value) { size_t orig_value_len = strlen (orig_value); size_t add_len = strlen (add); new_value = XMALLOC (char, add_len + orig_value_len + 1); if (to_end) { strcpy (new_value, orig_value); strcpy (new_value + orig_value_len, add); } else { strcpy (new_value, add); strcpy (new_value + add_len, orig_value); } } else { new_value = xstrdup (add); } return new_value; } void lt_update_exe_path (const char *name, const char *value) { lt_debugprintf (__FILE__, __LINE__, "(lt_update_exe_path) modifying '%s' by prepending '%s'\n", nonnull (name), nonnull (value)); if (name && *name && value && *value) { char *new_value = lt_extend_str (getenv (name), value, 0); /* some systems can't cope with a ':'-terminated path #' */ size_t len = strlen (new_value); while ((len > 0) && IS_PATH_SEPARATOR (new_value[len-1])) { new_value[--len] = '\0'; } lt_setenv (name, new_value); XFREE (new_value); } } void lt_update_lib_path (const char *name, const char *value) { lt_debugprintf (__FILE__, __LINE__, "(lt_update_lib_path) modifying '%s' by prepending '%s'\n", nonnull (name), nonnull (value)); if (name && *name && value && *value) { char *new_value = lt_extend_str (getenv (name), value, 0); lt_setenv (name, new_value); XFREE (new_value); } } EOF case $host_os in mingw*) cat <<"EOF" /* Prepares an argument vector before calling spawn(). Note that spawn() does not by itself call the command interpreter (getenv ("COMSPEC") != NULL ? getenv ("COMSPEC") : ({ OSVERSIONINFO v; v.dwOSVersionInfoSize = sizeof(OSVERSIONINFO); GetVersionEx(&v); v.dwPlatformId == VER_PLATFORM_WIN32_NT; }) ? "cmd.exe" : "command.com"). Instead it simply concatenates the arguments, separated by ' ', and calls CreateProcess(). We must quote the arguments since Win32 CreateProcess() interprets characters like ' ', '\t', '\\', '"' (but not '<' and '>') in a special way: - Space and tab are interpreted as delimiters. They are not treated as delimiters if they are surrounded by double quotes: "...". - Unescaped double quotes are removed from the input. Their only effect is that within double quotes, space and tab are treated like normal characters. - Backslashes not followed by double quotes are not special. - But 2*n+1 backslashes followed by a double quote become n backslashes followed by a double quote (n >= 0): \" -> " \\\" -> \" \\\\\" -> \\" */ #define SHELL_SPECIAL_CHARS "\"\\ \001\002\003\004\005\006\007\010\011\012\013\014\015\016\017\020\021\022\023\024\025\026\027\030\031\032\033\034\035\036\037" #define SHELL_SPACE_CHARS " \001\002\003\004\005\006\007\010\011\012\013\014\015\016\017\020\021\022\023\024\025\026\027\030\031\032\033\034\035\036\037" char ** prepare_spawn (char **argv) { size_t argc; char **new_argv; size_t i; /* Count number of arguments. */ for (argc = 0; argv[argc] != NULL; argc++) ; /* Allocate new argument vector. */ new_argv = XMALLOC (char *, argc + 1); /* Put quoted arguments into the new argument vector. */ for (i = 0; i < argc; i++) { const char *string = argv[i]; if (string[0] == '\0') new_argv[i] = xstrdup ("\"\""); else if (strpbrk (string, SHELL_SPECIAL_CHARS) != NULL) { int quote_around = (strpbrk (string, SHELL_SPACE_CHARS) != NULL); size_t length; unsigned int backslashes; const char *s; char *quoted_string; char *p; length = 0; backslashes = 0; if (quote_around) length++; for (s = string; *s != '\0'; s++) { char c = *s; if (c == '"') length += backslashes + 1; length++; if (c == '\\') backslashes++; else backslashes = 0; } if (quote_around) length += backslashes + 1; quoted_string = XMALLOC (char, length + 1); p = quoted_string; backslashes = 0; if (quote_around) *p++ = '"'; for (s = string; *s != '\0'; s++) { char c = *s; if (c == '"') { unsigned int j; for (j = backslashes + 1; j > 0; j--) *p++ = '\\'; } *p++ = c; if (c == '\\') backslashes++; else backslashes = 0; } if (quote_around) { unsigned int j; for (j = backslashes; j > 0; j--) *p++ = '\\'; *p++ = '"'; } *p = '\0'; new_argv[i] = quoted_string; } else new_argv[i] = (char *) string; } new_argv[argc] = NULL; return new_argv; } EOF ;; esac cat <<"EOF" void lt_dump_script (FILE* f) { EOF func_emit_wrapper yes | $SED -n -e ' s/^\(.\{79\}\)\(..*\)/\1\ \2/ h s/\([\\"]\)/\\\1/g s/$/\\n/ s/\([^\n]*\).*/ fputs ("\1", f);/p g D' cat <<"EOF" } EOF } # end: func_emit_cwrapperexe_src # func_win32_import_lib_p ARG # True if ARG is an import lib, as indicated by $file_magic_cmd func_win32_import_lib_p () { $debug_cmd case `eval $file_magic_cmd \"\$1\" 2>/dev/null | $SED -e 10q` in *import*) : ;; *) false ;; esac } # func_suncc_cstd_abi # !!ONLY CALL THIS FOR SUN CC AFTER $compile_command IS FULLY EXPANDED!! # Several compiler flags select an ABI that is incompatible with the # Cstd library. Avoid specifying it if any are in CXXFLAGS. func_suncc_cstd_abi () { $debug_cmd case " $compile_command " in *" -compat=g "*|*\ -std=c++[0-9][0-9]\ *|*" -library=stdcxx4 "*|*" -library=stlport4 "*) suncc_use_cstd_abi=no ;; *) suncc_use_cstd_abi=yes ;; esac } # func_mode_link arg... func_mode_link () { $debug_cmd case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) # It is impossible to link a dll without this setting, and # we shouldn't force the makefile maintainer to figure out # what system we are compiling for in order to pass an extra # flag for every libtool invocation. # allow_undefined=no # FIXME: Unfortunately, there are problems with the above when trying # to make a dll that has undefined symbols, in which case not # even a static library is built. For now, we need to specify # -no-undefined on the libtool link line when we can be certain # that all symbols are satisfied, otherwise we get a static library. allow_undefined=yes ;; *) allow_undefined=yes ;; esac libtool_args=$nonopt base_compile="$nonopt $@" compile_command=$nonopt finalize_command=$nonopt compile_rpath= finalize_rpath= compile_shlibpath= finalize_shlibpath= convenience= old_convenience= deplibs= old_deplibs= compiler_flags= linker_flags= dllsearchpath= lib_search_path=`pwd` inst_prefix_dir= new_inherited_linker_flags= avoid_version=no bindir= dlfiles= dlprefiles= dlself=no export_dynamic=no export_symbols= export_symbols_regex= generated= libobjs= ltlibs= module=no no_install=no objs= os2dllname= non_pic_objects= precious_files_regex= prefer_static_libs=no preload=false prev= prevarg= release= rpath= xrpath= perm_rpath= temp_rpath= thread_safe=no vinfo= vinfo_number=no weak_libs= single_module=$wl-single_module func_infer_tag $base_compile # We need to know -static, to get the right output filenames. for arg do case $arg in -shared) test yes != "$build_libtool_libs" \ && func_fatal_configuration "cannot build a shared library" build_old_libs=no break ;; -all-static | -static | -static-libtool-libs) case $arg in -all-static) if test yes = "$build_libtool_libs" && test -z "$link_static_flag"; then func_warning "complete static linking is impossible in this configuration" fi if test -n "$link_static_flag"; then dlopen_self=$dlopen_self_static fi prefer_static_libs=yes ;; -static) if test -z "$pic_flag" && test -n "$link_static_flag"; then dlopen_self=$dlopen_self_static fi prefer_static_libs=built ;; -static-libtool-libs) if test -z "$pic_flag" && test -n "$link_static_flag"; then dlopen_self=$dlopen_self_static fi prefer_static_libs=yes ;; esac build_libtool_libs=no build_old_libs=yes break ;; esac done # See if our shared archives depend on static archives. test -n "$old_archive_from_new_cmds" && build_old_libs=yes # Go through the arguments, transforming them on the way. while test "$#" -gt 0; do arg=$1 shift func_quote_arg pretty,unquoted "$arg" qarg=$func_quote_arg_unquoted_result func_append libtool_args " $func_quote_arg_result" # If the previous option needs an argument, assign it. if test -n "$prev"; then case $prev in output) func_append compile_command " @OUTPUT@" func_append finalize_command " @OUTPUT@" ;; esac case $prev in bindir) bindir=$arg prev= continue ;; dlfiles|dlprefiles) $preload || { # Add the symbol object into the linking commands. func_append compile_command " @SYMFILE@" func_append finalize_command " @SYMFILE@" preload=: } case $arg in *.la | *.lo) ;; # We handle these cases below. force) if test no = "$dlself"; then dlself=needless export_dynamic=yes fi prev= continue ;; self) if test dlprefiles = "$prev"; then dlself=yes elif test dlfiles = "$prev" && test yes != "$dlopen_self"; then dlself=yes else dlself=needless export_dynamic=yes fi prev= continue ;; *) if test dlfiles = "$prev"; then func_append dlfiles " $arg" else func_append dlprefiles " $arg" fi prev= continue ;; esac ;; expsyms) export_symbols=$arg test -f "$arg" \ || func_fatal_error "symbol file '$arg' does not exist" prev= continue ;; expsyms_regex) export_symbols_regex=$arg prev= continue ;; framework) case $host in *-*-darwin*) case "$deplibs " in *" $qarg.ltframework "*) ;; *) func_append deplibs " $qarg.ltframework" # this is fixed later ;; esac ;; esac prev= continue ;; inst_prefix) inst_prefix_dir=$arg prev= continue ;; mllvm) # Clang does not use LLVM to link, so we can simply discard any # '-mllvm $arg' options when doing the link step. prev= continue ;; objectlist) if test -f "$arg"; then save_arg=$arg moreargs= for fil in `cat "$save_arg"` do # func_append moreargs " $fil" arg=$fil # A libtool-controlled object. # Check to see that this really is a libtool object. if func_lalib_unsafe_p "$arg"; then pic_object= non_pic_object= # Read the .lo file func_source "$arg" if test -z "$pic_object" || test -z "$non_pic_object" || test none = "$pic_object" && test none = "$non_pic_object"; then func_fatal_error "cannot find name of object for '$arg'" fi # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result if test none != "$pic_object"; then # Prepend the subdirectory the object is found in. pic_object=$xdir$pic_object if test dlfiles = "$prev"; then if test yes = "$build_libtool_libs" && test yes = "$dlopen_support"; then func_append dlfiles " $pic_object" prev= continue else # If libtool objects are unsupported, then we need to preload. prev=dlprefiles fi fi # CHECK ME: I think I busted this. -Ossama if test dlprefiles = "$prev"; then # Preload the old-style object. func_append dlprefiles " $pic_object" prev= fi # A PIC object. func_append libobjs " $pic_object" arg=$pic_object fi # Non-PIC object. if test none != "$non_pic_object"; then # Prepend the subdirectory the object is found in. non_pic_object=$xdir$non_pic_object # A standard non-PIC object func_append non_pic_objects " $non_pic_object" if test -z "$pic_object" || test none = "$pic_object"; then arg=$non_pic_object fi else # If the PIC object exists, use it instead. # $xdir was prepended to $pic_object above. non_pic_object=$pic_object func_append non_pic_objects " $non_pic_object" fi else # Only an error if not doing a dry-run. if $opt_dry_run; then # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result func_lo2o "$arg" pic_object=$xdir$objdir/$func_lo2o_result non_pic_object=$xdir$func_lo2o_result func_append libobjs " $pic_object" func_append non_pic_objects " $non_pic_object" else func_fatal_error "'$arg' is not a valid libtool object" fi fi done else func_fatal_error "link input file '$arg' does not exist" fi arg=$save_arg prev= continue ;; os2dllname) os2dllname=$arg prev= continue ;; precious_regex) precious_files_regex=$arg prev= continue ;; release) release=-$arg prev= continue ;; rpath | xrpath) # We need an absolute path. case $arg in [\\/]* | [A-Za-z]:[\\/]*) ;; *) func_fatal_error "only absolute run-paths are allowed" ;; esac if test rpath = "$prev"; then case "$rpath " in *" $arg "*) ;; *) func_append rpath " $arg" ;; esac else case "$xrpath " in *" $arg "*) ;; *) func_append xrpath " $arg" ;; esac fi prev= continue ;; shrext) shrext_cmds=$arg prev= continue ;; weak) func_append weak_libs " $arg" prev= continue ;; xassembler) func_append compiler_flags " -Xassembler $qarg" prev= func_append compile_command " -Xassembler $qarg" func_append finalize_command " -Xassembler $qarg" continue ;; xcclinker) func_append linker_flags " $qarg" func_append compiler_flags " $qarg" prev= func_append compile_command " $qarg" func_append finalize_command " $qarg" continue ;; xcompiler) func_append compiler_flags " $qarg" prev= func_append compile_command " $qarg" func_append finalize_command " $qarg" continue ;; xlinker) func_append linker_flags " $qarg" func_append compiler_flags " $wl$qarg" prev= func_append compile_command " $wl$qarg" func_append finalize_command " $wl$qarg" continue ;; *) eval "$prev=\"\$arg\"" prev= continue ;; esac fi # test -n "$prev" prevarg=$arg case $arg in -all-static) if test -n "$link_static_flag"; then # See comment for -static flag below, for more details. func_append compile_command " $link_static_flag" func_append finalize_command " $link_static_flag" fi continue ;; -allow-undefined) # FIXME: remove this flag sometime in the future. func_fatal_error "'-allow-undefined' must not be used because it is the default" ;; -avoid-version) avoid_version=yes continue ;; -bindir) prev=bindir continue ;; -dlopen) prev=dlfiles continue ;; -dlpreopen) prev=dlprefiles continue ;; -export-dynamic) export_dynamic=yes continue ;; -export-symbols | -export-symbols-regex) if test -n "$export_symbols" || test -n "$export_symbols_regex"; then func_fatal_error "more than one -exported-symbols argument is not allowed" fi if test X-export-symbols = "X$arg"; then prev=expsyms else prev=expsyms_regex fi continue ;; -framework) prev=framework continue ;; -inst-prefix-dir) prev=inst_prefix continue ;; # The native IRIX linker understands -LANG:*, -LIST:* and -LNO:* # so, if we see these flags be careful not to treat them like -L -L[A-Z][A-Z]*:*) case $with_gcc/$host in no/*-*-irix* | /*-*-irix*) func_append compile_command " $arg" func_append finalize_command " $arg" ;; esac continue ;; -L*) func_stripname "-L" '' "$arg" if test -z "$func_stripname_result"; then if test "$#" -gt 0; then func_fatal_error "require no space between '-L' and '$1'" else func_fatal_error "need path for '-L' option" fi fi func_resolve_sysroot "$func_stripname_result" dir=$func_resolve_sysroot_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) ;; *) absdir=`cd "$dir" && pwd` test -z "$absdir" && \ func_fatal_error "cannot determine absolute directory name of '$dir'" dir=$absdir ;; esac case "$deplibs " in *" -L$dir "* | *" $arg "*) # Will only happen for absolute or sysroot arguments ;; *) # Preserve sysroot, but never include relative directories case $dir in [\\/]* | [A-Za-z]:[\\/]* | =*) func_append deplibs " $arg" ;; *) func_append deplibs " -L$dir" ;; esac func_append lib_search_path " $dir" ;; esac case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) testbindir=`$ECHO "$dir" | $SED 's*/lib$*/bin*'` case :$dllsearchpath: in *":$dir:"*) ;; ::) dllsearchpath=$dir;; *) func_append dllsearchpath ":$dir";; esac case :$dllsearchpath: in *":$testbindir:"*) ;; ::) dllsearchpath=$testbindir;; *) func_append dllsearchpath ":$testbindir";; esac ;; esac continue ;; -l*) if test X-lc = "X$arg" || test X-lm = "X$arg"; then case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-beos* | *-cegcc* | *-*-haiku*) # These systems don't actually have a C or math library (as such) continue ;; *-*-os2*) # These systems don't actually have a C library (as such) test X-lc = "X$arg" && continue ;; *-*-openbsd* | *-*-freebsd* | *-*-dragonfly* | *-*-bitrig* | *-*-midnightbsd*) # Do not include libc due to us having libc/libc_r. test X-lc = "X$arg" && continue ;; *-*-rhapsody* | *-*-darwin1.[012]) # Rhapsody C and math libraries are in the System framework func_append deplibs " System.ltframework" continue ;; *-*-sco3.2v5* | *-*-sco5v6*) # Causes problems with __ctype test X-lc = "X$arg" && continue ;; *-*-sysv4.2uw2* | *-*-sysv5* | *-*-unixware* | *-*-OpenUNIX*) # Compiler inserts libc in the correct place for threads to work test X-lc = "X$arg" && continue ;; esac elif test X-lc_r = "X$arg"; then case $host in *-*-openbsd* | *-*-freebsd* | *-*-dragonfly* | *-*-bitrig* | *-*-midnightbsd*) # Do not include libc_r directly, use -pthread flag. continue ;; esac fi func_append deplibs " $arg" continue ;; -mllvm) prev=mllvm continue ;; -module) module=yes continue ;; # Tru64 UNIX uses -model [arg] to determine the layout of C++ # classes, name mangling, and exception handling. # Darwin uses the -arch flag to determine output architecture. -model|-arch|-isysroot|--sysroot) func_append compiler_flags " $arg" func_append compile_command " $arg" func_append finalize_command " $arg" prev=xcompiler continue ;; # Solaris ld rejects as of 11.4. Refer to Oracle bug 22985199. -pthread) case $host in *solaris2*) ;; *) case "$new_inherited_linker_flags " in *" $arg "*) ;; * ) func_append new_inherited_linker_flags " $arg" ;; esac ;; esac continue ;; -mt|-mthreads|-kthread|-Kthread|-pthreads|--thread-safe \ |-threads|-fopenmp|-openmp|-mp|-xopenmp|-omp|-qsmp=*) func_append compiler_flags " $arg" func_append compile_command " $arg" func_append finalize_command " $arg" case "$new_inherited_linker_flags " in *" $arg "*) ;; * ) func_append new_inherited_linker_flags " $arg" ;; esac continue ;; -multi_module) single_module=$wl-multi_module continue ;; -no-fast-install) fast_install=no continue ;; -no-install) case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-*-darwin* | *-cegcc*) # The PATH hackery in wrapper scripts is required on Windows # and Darwin in order for the loader to find any dlls it needs. func_warning "'-no-install' is ignored for $host" func_warning "assuming '-no-fast-install' instead" fast_install=no ;; *) no_install=yes ;; esac continue ;; -no-undefined) allow_undefined=no continue ;; -objectlist) prev=objectlist continue ;; -os2dllname) prev=os2dllname continue ;; -o) prev=output ;; -precious-files-regex) prev=precious_regex continue ;; -release) prev=release continue ;; -rpath) prev=rpath continue ;; -R) prev=xrpath continue ;; -R*) func_stripname '-R' '' "$arg" dir=$func_stripname_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) ;; =*) func_stripname '=' '' "$dir" dir=$lt_sysroot$func_stripname_result ;; *) func_fatal_error "only absolute run-paths are allowed" ;; esac case "$xrpath " in *" $dir "*) ;; *) func_append xrpath " $dir" ;; esac continue ;; -shared) # The effects of -shared are defined in a previous loop. continue ;; -shrext) prev=shrext continue ;; -static | -static-libtool-libs) # The effects of -static are defined in a previous loop. # We used to do the same as -all-static on platforms that # didn't have a PIC flag, but the assumption that the effects # would be equivalent was wrong. It would break on at least # Digital Unix and AIX. continue ;; -thread-safe) thread_safe=yes continue ;; -version-info) prev=vinfo continue ;; -version-number) prev=vinfo vinfo_number=yes continue ;; -weak) prev=weak continue ;; -Wc,*) func_stripname '-Wc,' '' "$arg" args=$func_stripname_result arg= save_ifs=$IFS; IFS=, for flag in $args; do IFS=$save_ifs func_quote_arg pretty "$flag" func_append arg " $func_quote_arg_result" func_append compiler_flags " $func_quote_arg_result" done IFS=$save_ifs func_stripname ' ' '' "$arg" arg=$func_stripname_result ;; -Wl,*) func_stripname '-Wl,' '' "$arg" args=$func_stripname_result arg= save_ifs=$IFS; IFS=, for flag in $args; do IFS=$save_ifs func_quote_arg pretty "$flag" func_append arg " $wl$func_quote_arg_result" func_append compiler_flags " $wl$func_quote_arg_result" func_append linker_flags " $func_quote_arg_result" done IFS=$save_ifs func_stripname ' ' '' "$arg" arg=$func_stripname_result ;; -Xassembler) prev=xassembler continue ;; -Xcompiler) prev=xcompiler continue ;; -Xlinker) prev=xlinker continue ;; -XCClinker) prev=xcclinker continue ;; # -msg_* for osf cc -msg_*) func_quote_arg pretty "$arg" arg=$func_quote_arg_result ;; # Flags to be passed through unchanged, with rationale: # -64, -mips[0-9] enable 64-bit mode for the SGI compiler # -r[0-9][0-9]* specify processor for the SGI compiler # -xarch=*, -xtarget=* enable 64-bit mode for the Sun compiler # +DA*, +DD* enable 64-bit mode for the HP compiler # -q* compiler args for the IBM compiler # -m*, -t[45]*, -txscale* architecture-specific flags for GCC # -F/path path to uninstalled frameworks, gcc on darwin # -p, -pg, --coverage, -fprofile-* profiling flags for GCC # -fstack-protector* stack protector flags for GCC # @file GCC response files # -tp=* Portland pgcc target processor selection # --sysroot=* for sysroot support # -O*, -g*, -flto*, -fwhopr*, -fuse-linker-plugin GCC link-time optimization # -specs=* GCC specs files # -stdlib=* select c++ std lib with clang # -fsanitize=* Clang/GCC memory and address sanitizer # -fuse-ld=* Linker select flags for GCC # -Wa,* Pass flags directly to the assembler -64|-mips[0-9]|-r[0-9][0-9]*|-xarch=*|-xtarget=*|+DA*|+DD*|-q*|-m*| \ -t[45]*|-txscale*|-p|-pg|--coverage|-fprofile-*|-F*|@*|-tp=*|--sysroot=*| \ -O*|-g*|-flto*|-fwhopr*|-fuse-linker-plugin|-fstack-protector*|-stdlib=*| \ -specs=*|-fsanitize=*|-fuse-ld=*|-Wa,*) func_quote_arg pretty "$arg" arg=$func_quote_arg_result func_append compile_command " $arg" func_append finalize_command " $arg" func_append compiler_flags " $arg" continue ;; -Z*) if test os2 = "`expr $host : '.*\(os2\)'`"; then # OS/2 uses -Zxxx to specify OS/2-specific options compiler_flags="$compiler_flags $arg" func_append compile_command " $arg" func_append finalize_command " $arg" case $arg in -Zlinker | -Zstack) prev=xcompiler ;; esac continue else # Otherwise treat like 'Some other compiler flag' below func_quote_arg pretty "$arg" arg=$func_quote_arg_result fi ;; # Some other compiler flag. -* | +*) func_quote_arg pretty "$arg" arg=$func_quote_arg_result ;; *.$objext) # A standard object. func_append objs " $arg" ;; *.lo) # A libtool-controlled object. # Check to see that this really is a libtool object. if func_lalib_unsafe_p "$arg"; then pic_object= non_pic_object= # Read the .lo file func_source "$arg" if test -z "$pic_object" || test -z "$non_pic_object" || test none = "$pic_object" && test none = "$non_pic_object"; then func_fatal_error "cannot find name of object for '$arg'" fi # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result test none = "$pic_object" || { # Prepend the subdirectory the object is found in. pic_object=$xdir$pic_object if test dlfiles = "$prev"; then if test yes = "$build_libtool_libs" && test yes = "$dlopen_support"; then func_append dlfiles " $pic_object" prev= continue else # If libtool objects are unsupported, then we need to preload. prev=dlprefiles fi fi # CHECK ME: I think I busted this. -Ossama if test dlprefiles = "$prev"; then # Preload the old-style object. func_append dlprefiles " $pic_object" prev= fi # A PIC object. func_append libobjs " $pic_object" arg=$pic_object } # Non-PIC object. if test none != "$non_pic_object"; then # Prepend the subdirectory the object is found in. non_pic_object=$xdir$non_pic_object # A standard non-PIC object func_append non_pic_objects " $non_pic_object" if test -z "$pic_object" || test none = "$pic_object"; then arg=$non_pic_object fi else # If the PIC object exists, use it instead. # $xdir was prepended to $pic_object above. non_pic_object=$pic_object func_append non_pic_objects " $non_pic_object" fi else # Only an error if not doing a dry-run. if $opt_dry_run; then # Extract subdirectory from the argument. func_dirname "$arg" "/" "" xdir=$func_dirname_result func_lo2o "$arg" pic_object=$xdir$objdir/$func_lo2o_result non_pic_object=$xdir$func_lo2o_result func_append libobjs " $pic_object" func_append non_pic_objects " $non_pic_object" else func_fatal_error "'$arg' is not a valid libtool object" fi fi ;; *.$libext) # An archive. func_append deplibs " $arg" func_append old_deplibs " $arg" continue ;; *.la) # A libtool-controlled library. func_resolve_sysroot "$arg" if test dlfiles = "$prev"; then # This library was specified with -dlopen. func_append dlfiles " $func_resolve_sysroot_result" prev= elif test dlprefiles = "$prev"; then # The library was specified with -dlpreopen. func_append dlprefiles " $func_resolve_sysroot_result" prev= else func_append deplibs " $func_resolve_sysroot_result" fi continue ;; # Some other compiler argument. *) # Unknown arguments in both finalize_command and compile_command need # to be aesthetically quoted because they are evaled later. func_quote_arg pretty "$arg" arg=$func_quote_arg_result ;; esac # arg # Now actually substitute the argument into the commands. if test -n "$arg"; then func_append compile_command " $arg" func_append finalize_command " $arg" fi done # argument parsing loop test -n "$prev" && \ func_fatal_help "the '$prevarg' option requires an argument" if test yes = "$export_dynamic" && test -n "$export_dynamic_flag_spec"; then eval arg=\"$export_dynamic_flag_spec\" func_append compile_command " $arg" func_append finalize_command " $arg" fi oldlibs= # calculate the name of the file, without its directory func_basename "$output" outputname=$func_basename_result libobjs_save=$libobjs if test -n "$shlibpath_var"; then # get the directories listed in $shlibpath_var eval shlib_search_path=\`\$ECHO \"\$$shlibpath_var\" \| \$SED \'s/:/ /g\'\` else shlib_search_path= fi eval sys_lib_search_path=\"$sys_lib_search_path_spec\" eval sys_lib_dlsearch_path=\"$sys_lib_dlsearch_path_spec\" # Definition is injected by LT_CONFIG during libtool generation. func_munge_path_list sys_lib_dlsearch_path "$LT_SYS_LIBRARY_PATH" func_dirname "$output" "/" "" output_objdir=$func_dirname_result$objdir func_to_tool_file "$output_objdir/" tool_output_objdir=$func_to_tool_file_result # Create the object directory. func_mkdir_p "$output_objdir" # Determine the type of output case $output in "") func_fatal_help "you must specify an output file" ;; *.$libext) linkmode=oldlib ;; *.lo | *.$objext) linkmode=obj ;; *.la) linkmode=lib ;; *) linkmode=prog ;; # Anything else should be a program. esac specialdeplibs= libs= # Find all interdependent deplibs by searching for libraries # that are linked more than once (e.g. -la -lb -la) for deplib in $deplibs; do if $opt_preserve_dup_deps; then case "$libs " in *" $deplib "*) func_append specialdeplibs " $deplib" ;; esac fi func_append libs " $deplib" done if test lib = "$linkmode"; then libs="$predeps $libs $compiler_lib_search_path $postdeps" # Compute libraries that are listed more than once in $predeps # $postdeps and mark them as special (i.e., whose duplicates are # not to be eliminated). pre_post_deps= if $opt_duplicate_compiler_generated_deps; then for pre_post_dep in $predeps $postdeps; do case "$pre_post_deps " in *" $pre_post_dep "*) func_append specialdeplibs " $pre_post_deps" ;; esac func_append pre_post_deps " $pre_post_dep" done fi pre_post_deps= fi deplibs= newdependency_libs= newlib_search_path= need_relink=no # whether we're linking any uninstalled libtool libraries notinst_deplibs= # not-installed libtool libraries notinst_path= # paths that contain not-installed libtool libraries case $linkmode in lib) passes="conv dlpreopen link" for file in $dlfiles $dlprefiles; do case $file in *.la) ;; *) func_fatal_help "libraries can '-dlopen' only libtool libraries: $file" ;; esac done ;; prog) compile_deplibs= finalize_deplibs= alldeplibs=false newdlfiles= newdlprefiles= passes="conv scan dlopen dlpreopen link" ;; *) passes="conv" ;; esac for pass in $passes; do # The preopen pass in lib mode reverses $deplibs; put it back here # so that -L comes before libs that need it for instance... if test lib,link = "$linkmode,$pass"; then ## FIXME: Find the place where the list is rebuilt in the wrong ## order, and fix it there properly tmp_deplibs= for deplib in $deplibs; do tmp_deplibs="$deplib $tmp_deplibs" done deplibs=$tmp_deplibs fi if test lib,link = "$linkmode,$pass" || test prog,scan = "$linkmode,$pass"; then libs=$deplibs deplibs= fi if test prog = "$linkmode"; then case $pass in dlopen) libs=$dlfiles ;; dlpreopen) libs=$dlprefiles ;; link) libs="$deplibs %DEPLIBS% $dependency_libs" ;; esac fi if test lib,dlpreopen = "$linkmode,$pass"; then # Collect and forward deplibs of preopened libtool libs for lib in $dlprefiles; do # Ignore non-libtool-libs dependency_libs= func_resolve_sysroot "$lib" case $lib in *.la) func_source "$func_resolve_sysroot_result" ;; esac # Collect preopened libtool deplibs, except any this library # has declared as weak libs for deplib in $dependency_libs; do func_basename "$deplib" deplib_base=$func_basename_result case " $weak_libs " in *" $deplib_base "*) ;; *) func_append deplibs " $deplib" ;; esac done done libs=$dlprefiles fi if test dlopen = "$pass"; then # Collect dlpreopened libraries save_deplibs=$deplibs deplibs= fi for deplib in $libs; do lib= found=false case $deplib in -mt|-mthreads|-kthread|-Kthread|-pthread|-pthreads|--thread-safe \ |-threads|-fopenmp|-openmp|-mp|-xopenmp|-omp|-qsmp=*) if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else func_append compiler_flags " $deplib" if test lib = "$linkmode"; then case "$new_inherited_linker_flags " in *" $deplib "*) ;; * ) func_append new_inherited_linker_flags " $deplib" ;; esac fi fi continue ;; -l*) if test lib != "$linkmode" && test prog != "$linkmode"; then func_warning "'-l' is ignored for archives/objects" continue fi func_stripname '-l' '' "$deplib" name=$func_stripname_result if test lib = "$linkmode"; then searchdirs="$newlib_search_path $lib_search_path $compiler_lib_search_dirs $sys_lib_search_path $shlib_search_path" else searchdirs="$newlib_search_path $lib_search_path $sys_lib_search_path $shlib_search_path" fi for searchdir in $searchdirs; do for search_ext in .la $std_shrext .so .a; do # Search the libtool library lib=$searchdir/lib$name$search_ext if test -f "$lib"; then if test .la = "$search_ext"; then found=: else found=false fi break 2 fi done done if $found; then # deplib is a libtool library # If $allow_libtool_libs_with_static_runtimes && $deplib is a stdlib, # We need to do some special things here, and not later. if test yes = "$allow_libtool_libs_with_static_runtimes"; then case " $predeps $postdeps " in *" $deplib "*) if func_lalib_p "$lib"; then library_names= old_library= func_source "$lib" for l in $old_library $library_names; do ll=$l done if test "X$ll" = "X$old_library"; then # only static version available found=false func_dirname "$lib" "" "." ladir=$func_dirname_result lib=$ladir/$old_library if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" test lib = "$linkmode" && newdependency_libs="$deplib $newdependency_libs" fi continue fi fi ;; *) ;; esac fi else # deplib doesn't seem to be a libtool library if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" test lib = "$linkmode" && newdependency_libs="$deplib $newdependency_libs" fi continue fi ;; # -l *.ltframework) if test prog,link = "$linkmode,$pass"; then compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else deplibs="$deplib $deplibs" if test lib = "$linkmode"; then case "$new_inherited_linker_flags " in *" $deplib "*) ;; * ) func_append new_inherited_linker_flags " $deplib" ;; esac fi fi continue ;; -L*) case $linkmode in lib) deplibs="$deplib $deplibs" test conv = "$pass" && continue newdependency_libs="$deplib $newdependency_libs" func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result" func_append newlib_search_path " $func_resolve_sysroot_result" ;; prog) if test conv = "$pass"; then deplibs="$deplib $deplibs" continue fi if test scan = "$pass"; then deplibs="$deplib $deplibs" else compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" fi func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result" func_append newlib_search_path " $func_resolve_sysroot_result" ;; *) func_warning "'-L' is ignored for archives/objects" ;; esac # linkmode continue ;; # -L -R*) if test link = "$pass"; then func_stripname '-R' '' "$deplib" func_resolve_sysroot "$func_stripname_result" dir=$func_resolve_sysroot_result # Make sure the xrpath contains only unique directories. case "$xrpath " in *" $dir "*) ;; *) func_append xrpath " $dir" ;; esac fi deplibs="$deplib $deplibs" continue ;; *.la) func_resolve_sysroot "$deplib" lib=$func_resolve_sysroot_result ;; *.$libext) if test conv = "$pass"; then deplibs="$deplib $deplibs" continue fi case $linkmode in lib) # Linking convenience modules into shared libraries is allowed, # but linking other static libraries is non-portable. case " $dlpreconveniencelibs " in *" $deplib "*) ;; *) valid_a_lib=false case $deplibs_check_method in match_pattern*) set dummy $deplibs_check_method; shift match_pattern_regex=`expr "$deplibs_check_method" : "$1 \(.*\)"` if eval "\$ECHO \"$deplib\"" 2>/dev/null | $SED 10q \ | $EGREP "$match_pattern_regex" > /dev/null; then valid_a_lib=: fi ;; pass_all) valid_a_lib=: ;; esac if $valid_a_lib; then echo $ECHO "*** Warning: Linking the shared library $output against the" $ECHO "*** static library $deplib is not portable!" deplibs="$deplib $deplibs" else echo $ECHO "*** Warning: Trying to link with static lib archive $deplib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have" echo "*** because the file extensions .$libext of this argument makes me believe" echo "*** that it is just a static archive that I should not use here." fi ;; esac continue ;; prog) if test link != "$pass"; then deplibs="$deplib $deplibs" else compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" fi continue ;; esac # linkmode ;; # *.$libext *.lo | *.$objext) if test conv = "$pass"; then deplibs="$deplib $deplibs" elif test prog = "$linkmode"; then if test dlpreopen = "$pass" || test yes != "$dlopen_support" || test no = "$build_libtool_libs"; then # If there is no dlopen support or we're linking statically, # we need to preload. func_append newdlprefiles " $deplib" compile_deplibs="$deplib $compile_deplibs" finalize_deplibs="$deplib $finalize_deplibs" else func_append newdlfiles " $deplib" fi fi continue ;; %DEPLIBS%) alldeplibs=: continue ;; esac # case $deplib $found || test -f "$lib" \ || func_fatal_error "cannot find the library '$lib' or unhandled argument '$deplib'" # Check to see that this really is a libtool archive. func_lalib_unsafe_p "$lib" \ || func_fatal_error "'$lib' is not a valid libtool archive" func_dirname "$lib" "" "." ladir=$func_dirname_result dlname= dlopen= dlpreopen= libdir= library_names= old_library= inherited_linker_flags= # If the library was installed with an old release of libtool, # it will not redefine variables installed, or shouldnotlink installed=yes shouldnotlink=no avoidtemprpath= # Read the .la file func_source "$lib" # Convert "-framework foo" to "foo.ltframework" if test -n "$inherited_linker_flags"; then tmp_inherited_linker_flags=`$ECHO "$inherited_linker_flags" | $SED 's/-framework \([^ $]*\)/\1.ltframework/g'` for tmp_inherited_linker_flag in $tmp_inherited_linker_flags; do case " $new_inherited_linker_flags " in *" $tmp_inherited_linker_flag "*) ;; *) func_append new_inherited_linker_flags " $tmp_inherited_linker_flag";; esac done fi dependency_libs=`$ECHO " $dependency_libs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` if test lib,link = "$linkmode,$pass" || test prog,scan = "$linkmode,$pass" || { test prog != "$linkmode" && test lib != "$linkmode"; }; then test -n "$dlopen" && func_append dlfiles " $dlopen" test -n "$dlpreopen" && func_append dlprefiles " $dlpreopen" fi if test conv = "$pass"; then # Only check for convenience libraries deplibs="$lib $deplibs" if test -z "$libdir"; then if test -z "$old_library"; then func_fatal_error "cannot find name of link library for '$lib'" fi # It is a libtool convenience library, so add in its objects. func_append convenience " $ladir/$objdir/$old_library" func_append old_convenience " $ladir/$objdir/$old_library" elif test prog != "$linkmode" && test lib != "$linkmode"; then func_fatal_error "'$lib' is not a convenience library" fi tmp_libs= for deplib in $dependency_libs; do deplibs="$deplib $deplibs" if $opt_preserve_dup_deps; then case "$tmp_libs " in *" $deplib "*) func_append specialdeplibs " $deplib" ;; esac fi func_append tmp_libs " $deplib" done continue fi # $pass = conv # Get the name of the library we link against. linklib= if test -n "$old_library" && { test yes = "$prefer_static_libs" || test built,no = "$prefer_static_libs,$installed"; }; then linklib=$old_library else for l in $old_library $library_names; do linklib=$l done fi if test -z "$linklib"; then func_fatal_error "cannot find name of link library for '$lib'" fi # This library was specified with -dlopen. if test dlopen = "$pass"; then test -z "$libdir" \ && func_fatal_error "cannot -dlopen a convenience library: '$lib'" if test -z "$dlname" || test yes != "$dlopen_support" || test no = "$build_libtool_libs" then # If there is no dlname, no dlopen support or we're linking # statically, we need to preload. We also need to preload any # dependent libraries so libltdl's deplib preloader doesn't # bomb out in the load deplibs phase. func_append dlprefiles " $lib $dependency_libs" else func_append newdlfiles " $lib" fi continue fi # $pass = dlopen # We need an absolute path. case $ladir in [\\/]* | [A-Za-z]:[\\/]*) abs_ladir=$ladir ;; *) abs_ladir=`cd "$ladir" && pwd` if test -z "$abs_ladir"; then func_warning "cannot determine absolute directory name of '$ladir'" func_warning "passing it literally to the linker, although it might fail" abs_ladir=$ladir fi ;; esac func_basename "$lib" laname=$func_basename_result # Find the relevant object directory and library name. if test yes = "$installed"; then if test ! -f "$lt_sysroot$libdir/$linklib" && test -f "$abs_ladir/$linklib"; then func_warning "library '$lib' was moved." dir=$ladir absdir=$abs_ladir libdir=$abs_ladir else dir=$lt_sysroot$libdir absdir=$lt_sysroot$libdir fi test yes = "$hardcode_automatic" && avoidtemprpath=yes else if test ! -f "$ladir/$objdir/$linklib" && test -f "$abs_ladir/$linklib"; then dir=$ladir absdir=$abs_ladir # Remove this search path later func_append notinst_path " $abs_ladir" else dir=$ladir/$objdir absdir=$abs_ladir/$objdir # Remove this search path later func_append notinst_path " $abs_ladir" fi fi # $installed = yes func_stripname 'lib' '.la' "$laname" name=$func_stripname_result # This library was specified with -dlpreopen. if test dlpreopen = "$pass"; then if test -z "$libdir" && test prog = "$linkmode"; then func_fatal_error "only libraries may -dlpreopen a convenience library: '$lib'" fi case $host in # special handling for platforms with PE-DLLs. *cygwin* | *mingw* | *cegcc* ) # Linker will automatically link against shared library if both # static and shared are present. Therefore, ensure we extract # symbols from the import library if a shared library is present # (otherwise, the dlopen module name will be incorrect). We do # this by putting the import library name into $newdlprefiles. # We recover the dlopen module name by 'saving' the la file # name in a special purpose variable, and (later) extracting the # dlname from the la file. if test -n "$dlname"; then func_tr_sh "$dir/$linklib" eval "libfile_$func_tr_sh_result=\$abs_ladir/\$laname" func_append newdlprefiles " $dir/$linklib" else func_append newdlprefiles " $dir/$old_library" # Keep a list of preopened convenience libraries to check # that they are being used correctly in the link pass. test -z "$libdir" && \ func_append dlpreconveniencelibs " $dir/$old_library" fi ;; * ) # Prefer using a static library (so that no silly _DYNAMIC symbols # are required to link). if test -n "$old_library"; then func_append newdlprefiles " $dir/$old_library" # Keep a list of preopened convenience libraries to check # that they are being used correctly in the link pass. test -z "$libdir" && \ func_append dlpreconveniencelibs " $dir/$old_library" # Otherwise, use the dlname, so that lt_dlopen finds it. elif test -n "$dlname"; then func_append newdlprefiles " $dir/$dlname" else func_append newdlprefiles " $dir/$linklib" fi ;; esac fi # $pass = dlpreopen if test -z "$libdir"; then # Link the convenience library if test lib = "$linkmode"; then deplibs="$dir/$old_library $deplibs" elif test prog,link = "$linkmode,$pass"; then compile_deplibs="$dir/$old_library $compile_deplibs" finalize_deplibs="$dir/$old_library $finalize_deplibs" else deplibs="$lib $deplibs" # used for prog,scan pass fi continue fi if test prog = "$linkmode" && test link != "$pass"; then func_append newlib_search_path " $ladir" deplibs="$lib $deplibs" linkalldeplibs=false if test no != "$link_all_deplibs" || test -z "$library_names" || test no = "$build_libtool_libs"; then linkalldeplibs=: fi tmp_libs= for deplib in $dependency_libs; do case $deplib in -L*) func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result" func_append newlib_search_path " $func_resolve_sysroot_result" ;; esac # Need to link against all dependency_libs? if $linkalldeplibs; then deplibs="$deplib $deplibs" else # Need to hardcode shared library paths # or/and link against static libraries newdependency_libs="$deplib $newdependency_libs" fi if $opt_preserve_dup_deps; then case "$tmp_libs " in *" $deplib "*) func_append specialdeplibs " $deplib" ;; esac fi func_append tmp_libs " $deplib" done # for deplib continue fi # $linkmode = prog... if test prog,link = "$linkmode,$pass"; then if test -n "$library_names" && { { test no = "$prefer_static_libs" || test built,yes = "$prefer_static_libs,$installed"; } || test -z "$old_library"; }; then # We need to hardcode the library path if test -n "$shlibpath_var" && test -z "$avoidtemprpath"; then # Make sure the rpath contains only unique directories. case $temp_rpath: in *"$absdir:"*) ;; *) func_append temp_rpath "$absdir:" ;; esac fi # Hardcode the library path. # Skip directories that are in the system default run-time # search path. case " $sys_lib_dlsearch_path " in *" $absdir "*) ;; *) case "$compile_rpath " in *" $absdir "*) ;; *) func_append compile_rpath " $absdir" ;; esac ;; esac case " $sys_lib_dlsearch_path " in *" $libdir "*) ;; *) case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac ;; esac fi # $linkmode,$pass = prog,link... if $alldeplibs && { test pass_all = "$deplibs_check_method" || { test yes = "$build_libtool_libs" && test -n "$library_names"; }; }; then # We only need to search for static libraries continue fi fi link_static=no # Whether the deplib will be linked statically use_static_libs=$prefer_static_libs if test built = "$use_static_libs" && test yes = "$installed"; then use_static_libs=no fi if test -n "$library_names" && { test no = "$use_static_libs" || test -z "$old_library"; }; then case $host in *cygwin* | *mingw* | *cegcc* | *os2*) # No point in relinking DLLs because paths are not encoded func_append notinst_deplibs " $lib" need_relink=no ;; *) if test no = "$installed"; then func_append notinst_deplibs " $lib" need_relink=yes fi ;; esac # This is a shared library # Warn about portability, can't link against -module's on some # systems (darwin). Don't bleat about dlopened modules though! dlopenmodule= for dlpremoduletest in $dlprefiles; do if test "X$dlpremoduletest" = "X$lib"; then dlopenmodule=$dlpremoduletest break fi done if test -z "$dlopenmodule" && test yes = "$shouldnotlink" && test link = "$pass"; then echo if test prog = "$linkmode"; then $ECHO "*** Warning: Linking the executable $output against the loadable module" else $ECHO "*** Warning: Linking the shared library $output against the loadable module" fi $ECHO "*** $linklib is not portable!" fi if test lib = "$linkmode" && test yes = "$hardcode_into_libs"; then # Hardcode the library path. # Skip directories that are in the system default run-time # search path. case " $sys_lib_dlsearch_path " in *" $absdir "*) ;; *) case "$compile_rpath " in *" $absdir "*) ;; *) func_append compile_rpath " $absdir" ;; esac ;; esac case " $sys_lib_dlsearch_path " in *" $libdir "*) ;; *) case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac ;; esac fi if test -n "$old_archive_from_expsyms_cmds"; then # figure out the soname set dummy $library_names shift realname=$1 shift libname=`eval "\\$ECHO \"$libname_spec\""` # use dlname if we got it. it's perfectly good, no? if test -n "$dlname"; then soname=$dlname elif test -n "$soname_spec"; then # bleh windows case $host in *cygwin* | mingw* | *cegcc* | *os2*) func_arith $current - $age major=$func_arith_result versuffix=-$major ;; esac eval soname=\"$soname_spec\" else soname=$realname fi # Make a new name for the extract_expsyms_cmds to use soroot=$soname func_basename "$soroot" soname=$func_basename_result func_stripname 'lib' '.dll' "$soname" newlib=libimp-$func_stripname_result.a # If the library has no export list, then create one now if test -f "$output_objdir/$soname-def"; then : else func_verbose "extracting exported symbol list from '$soname'" func_execute_cmds "$extract_expsyms_cmds" 'exit $?' fi # Create $newlib if test -f "$output_objdir/$newlib"; then :; else func_verbose "generating import library for '$soname'" func_execute_cmds "$old_archive_from_expsyms_cmds" 'exit $?' fi # make sure the library variables are pointing to the new library dir=$output_objdir linklib=$newlib fi # test -n "$old_archive_from_expsyms_cmds" if test prog = "$linkmode" || test relink != "$opt_mode"; then add_shlibpath= add_dir= add= lib_linked=yes case $hardcode_action in immediate | unsupported) if test no = "$hardcode_direct"; then add=$dir/$linklib case $host in *-*-sco3.2v5.0.[024]*) add_dir=-L$dir ;; *-*-sysv4*uw2*) add_dir=-L$dir ;; *-*-sysv5OpenUNIX* | *-*-sysv5UnixWare7.[01].[10]* | \ *-*-unixware7*) add_dir=-L$dir ;; *-*-darwin* ) # if the lib is a (non-dlopened) module then we cannot # link against it, someone is ignoring the earlier warnings if /usr/bin/file -L $add 2> /dev/null | $GREP ": [^:]* bundle" >/dev/null; then if test "X$dlopenmodule" != "X$lib"; then $ECHO "*** Warning: lib $linklib is a module, not a shared library" if test -z "$old_library"; then echo echo "*** And there doesn't seem to be a static archive available" echo "*** The link will probably fail, sorry" else add=$dir/$old_library fi elif test -n "$old_library"; then add=$dir/$old_library fi fi esac elif test no = "$hardcode_minus_L"; then case $host in *-*-sunos*) add_shlibpath=$dir ;; esac add_dir=-L$dir add=-l$name elif test no = "$hardcode_shlibpath_var"; then add_shlibpath=$dir add=-l$name else lib_linked=no fi ;; relink) if test yes = "$hardcode_direct" && test no = "$hardcode_direct_absolute"; then add=$dir/$linklib elif test yes = "$hardcode_minus_L"; then add_dir=-L$absdir # Try looking first in the location we're being installed to. if test -n "$inst_prefix_dir"; then case $libdir in [\\/]*) func_append add_dir " -L$inst_prefix_dir$libdir" ;; esac fi add=-l$name elif test yes = "$hardcode_shlibpath_var"; then add_shlibpath=$dir add=-l$name else lib_linked=no fi ;; *) lib_linked=no ;; esac if test yes != "$lib_linked"; then func_fatal_configuration "unsupported hardcode properties" fi if test -n "$add_shlibpath"; then case :$compile_shlibpath: in *":$add_shlibpath:"*) ;; *) func_append compile_shlibpath "$add_shlibpath:" ;; esac fi if test prog = "$linkmode"; then test -n "$add_dir" && compile_deplibs="$add_dir $compile_deplibs" test -n "$add" && compile_deplibs="$add $compile_deplibs" else test -n "$add_dir" && deplibs="$add_dir $deplibs" test -n "$add" && deplibs="$add $deplibs" if test yes != "$hardcode_direct" && test yes != "$hardcode_minus_L" && test yes = "$hardcode_shlibpath_var"; then case :$finalize_shlibpath: in *":$libdir:"*) ;; *) func_append finalize_shlibpath "$libdir:" ;; esac fi fi fi if test prog = "$linkmode" || test relink = "$opt_mode"; then add_shlibpath= add_dir= add= # Finalize command for both is simple: just hardcode it. if test yes = "$hardcode_direct" && test no = "$hardcode_direct_absolute"; then add=$libdir/$linklib elif test yes = "$hardcode_minus_L"; then add_dir=-L$libdir add=-l$name elif test yes = "$hardcode_shlibpath_var"; then case :$finalize_shlibpath: in *":$libdir:"*) ;; *) func_append finalize_shlibpath "$libdir:" ;; esac add=-l$name elif test yes = "$hardcode_automatic"; then if test -n "$inst_prefix_dir" && test -f "$inst_prefix_dir$libdir/$linklib"; then add=$inst_prefix_dir$libdir/$linklib else add=$libdir/$linklib fi else # We cannot seem to hardcode it, guess we'll fake it. add_dir=-L$libdir # Try looking first in the location we're being installed to. if test -n "$inst_prefix_dir"; then case $libdir in [\\/]*) func_append add_dir " -L$inst_prefix_dir$libdir" ;; esac fi add=-l$name fi if test prog = "$linkmode"; then test -n "$add_dir" && finalize_deplibs="$add_dir $finalize_deplibs" test -n "$add" && finalize_deplibs="$add $finalize_deplibs" else test -n "$add_dir" && deplibs="$add_dir $deplibs" test -n "$add" && deplibs="$add $deplibs" fi fi elif test prog = "$linkmode"; then # Here we assume that one of hardcode_direct or hardcode_minus_L # is not unsupported. This is valid on all known static and # shared platforms. if test unsupported != "$hardcode_direct"; then test -n "$old_library" && linklib=$old_library compile_deplibs="$dir/$linklib $compile_deplibs" finalize_deplibs="$dir/$linklib $finalize_deplibs" else compile_deplibs="-l$name -L$dir $compile_deplibs" finalize_deplibs="-l$name -L$dir $finalize_deplibs" fi elif test yes = "$build_libtool_libs"; then # Not a shared library if test pass_all != "$deplibs_check_method"; then # We're trying link a shared library against a static one # but the system doesn't support it. # Just print a warning and add the library to dependency_libs so # that the program can be linked against the static library. echo $ECHO "*** Warning: This system cannot link to static lib archive $lib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have." if test yes = "$module"; then echo "*** But as you try to build a module library, libtool will still create " echo "*** a static module, that should work as long as the dlopening application" echo "*** is linked with the -dlopen flag to resolve symbols at runtime." if test -z "$global_symbol_pipe"; then echo echo "*** However, this would only work if libtool was able to extract symbol" echo "*** lists from a program, using 'nm' or equivalent, but libtool could" echo "*** not find such a program. So, this module is probably useless." echo "*** 'nm' from GNU binutils and a full rebuild may help." fi if test no = "$build_old_libs"; then build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi fi else deplibs="$dir/$old_library $deplibs" link_static=yes fi fi # link shared/static library? if test lib = "$linkmode"; then if test -n "$dependency_libs" && { test yes != "$hardcode_into_libs" || test yes = "$build_old_libs" || test yes = "$link_static"; }; then # Extract -R from dependency_libs temp_deplibs= for libdir in $dependency_libs; do case $libdir in -R*) func_stripname '-R' '' "$libdir" temp_xrpath=$func_stripname_result case " $xrpath " in *" $temp_xrpath "*) ;; *) func_append xrpath " $temp_xrpath";; esac;; *) func_append temp_deplibs " $libdir";; esac done dependency_libs=$temp_deplibs fi func_append newlib_search_path " $absdir" # Link against this library test no = "$link_static" && newdependency_libs="$abs_ladir/$laname $newdependency_libs" # ... and its dependency_libs tmp_libs= for deplib in $dependency_libs; do newdependency_libs="$deplib $newdependency_libs" case $deplib in -L*) func_stripname '-L' '' "$deplib" func_resolve_sysroot "$func_stripname_result";; *) func_resolve_sysroot "$deplib" ;; esac if $opt_preserve_dup_deps; then case "$tmp_libs " in *" $func_resolve_sysroot_result "*) func_append specialdeplibs " $func_resolve_sysroot_result" ;; esac fi func_append tmp_libs " $func_resolve_sysroot_result" done if test no != "$link_all_deplibs"; then # Add the search paths of all dependency libraries for deplib in $dependency_libs; do path= case $deplib in -L*) path=$deplib ;; *.la) func_resolve_sysroot "$deplib" deplib=$func_resolve_sysroot_result func_dirname "$deplib" "" "." dir=$func_dirname_result # We need an absolute path. case $dir in [\\/]* | [A-Za-z]:[\\/]*) absdir=$dir ;; *) absdir=`cd "$dir" && pwd` if test -z "$absdir"; then func_warning "cannot determine absolute directory name of '$dir'" absdir=$dir fi ;; esac if $GREP "^installed=no" $deplib > /dev/null; then case $host in *-*-darwin*) depdepl= eval deplibrary_names=`$SED -n -e 's/^library_names=\(.*\)$/\1/p' $deplib` if test -n "$deplibrary_names"; then for tmp in $deplibrary_names; do depdepl=$tmp done if test -f "$absdir/$objdir/$depdepl"; then depdepl=$absdir/$objdir/$depdepl darwin_install_name=`$OTOOL -L $depdepl | awk '{if (NR == 2) {print $1;exit}}'` if test -z "$darwin_install_name"; then darwin_install_name=`$OTOOL64 -L $depdepl | awk '{if (NR == 2) {print $1;exit}}'` fi func_append compiler_flags " $wl-dylib_file $wl$darwin_install_name:$depdepl" func_append linker_flags " -dylib_file $darwin_install_name:$depdepl" path= fi fi ;; *) path=-L$absdir/$objdir ;; esac else eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $deplib` test -z "$libdir" && \ func_fatal_error "'$deplib' is not a valid libtool archive" test "$absdir" != "$libdir" && \ func_warning "'$deplib' seems to be moved" path=-L$absdir fi ;; esac case " $deplibs " in *" $path "*) ;; *) deplibs="$path $deplibs" ;; esac done fi # link_all_deplibs != no fi # linkmode = lib done # for deplib in $libs if test link = "$pass"; then if test prog = "$linkmode"; then compile_deplibs="$new_inherited_linker_flags $compile_deplibs" finalize_deplibs="$new_inherited_linker_flags $finalize_deplibs" else compiler_flags="$compiler_flags "`$ECHO " $new_inherited_linker_flags" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` fi fi dependency_libs=$newdependency_libs if test dlpreopen = "$pass"; then # Link the dlpreopened libraries before other libraries for deplib in $save_deplibs; do deplibs="$deplib $deplibs" done fi if test dlopen != "$pass"; then test conv = "$pass" || { # Make sure lib_search_path contains only unique directories. lib_search_path= for dir in $newlib_search_path; do case "$lib_search_path " in *" $dir "*) ;; *) func_append lib_search_path " $dir" ;; esac done newlib_search_path= } if test prog,link = "$linkmode,$pass"; then vars="compile_deplibs finalize_deplibs" else vars=deplibs fi for var in $vars dependency_libs; do # Add libraries to $var in reverse order eval tmp_libs=\"\$$var\" new_libs= for deplib in $tmp_libs; do # FIXME: Pedantically, this is the right thing to do, so # that some nasty dependency loop isn't accidentally # broken: #new_libs="$deplib $new_libs" # Pragmatically, this seems to cause very few problems in # practice: case $deplib in -L*) new_libs="$deplib $new_libs" ;; -R*) ;; *) # And here is the reason: when a library appears more # than once as an explicit dependence of a library, or # is implicitly linked in more than once by the # compiler, it is considered special, and multiple # occurrences thereof are not removed. Compare this # with having the same library being listed as a # dependency of multiple other libraries: in this case, # we know (pedantically, we assume) the library does not # need to be listed more than once, so we keep only the # last copy. This is not always right, but it is rare # enough that we require users that really mean to play # such unportable linking tricks to link the library # using -Wl,-lname, so that libtool does not consider it # for duplicate removal. case " $specialdeplibs " in *" $deplib "*) new_libs="$deplib $new_libs" ;; *) case " $new_libs " in *" $deplib "*) ;; *) new_libs="$deplib $new_libs" ;; esac ;; esac ;; esac done tmp_libs= for deplib in $new_libs; do case $deplib in -L*) case " $tmp_libs " in *" $deplib "*) ;; *) func_append tmp_libs " $deplib" ;; esac ;; *) func_append tmp_libs " $deplib" ;; esac done eval $var=\"$tmp_libs\" done # for var fi # Add Sun CC postdeps if required: test CXX = "$tagname" && { case $host_os in linux*) case `$CC -V 2>&1 | $SED 5q` in *Sun\ C*) # Sun C++ 5.9 func_suncc_cstd_abi if test no != "$suncc_use_cstd_abi"; then func_append postdeps ' -library=Cstd -library=Crun' fi ;; esac ;; solaris*) func_cc_basename "$CC" case $func_cc_basename_result in CC* | sunCC*) func_suncc_cstd_abi if test no != "$suncc_use_cstd_abi"; then func_append postdeps ' -library=Cstd -library=Crun' fi ;; esac ;; esac } # Last step: remove runtime libs from dependency_libs # (they stay in deplibs) tmp_libs= for i in $dependency_libs; do case " $predeps $postdeps $compiler_lib_search_path " in *" $i "*) i= ;; esac if test -n "$i"; then func_append tmp_libs " $i" fi done dependency_libs=$tmp_libs done # for pass if test prog = "$linkmode"; then dlfiles=$newdlfiles fi if test prog = "$linkmode" || test lib = "$linkmode"; then dlprefiles=$newdlprefiles fi case $linkmode in oldlib) if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then func_warning "'-dlopen' is ignored for archives" fi case " $deplibs" in *\ -l* | *\ -L*) func_warning "'-l' and '-L' are ignored for archives" ;; esac test -n "$rpath" && \ func_warning "'-rpath' is ignored for archives" test -n "$xrpath" && \ func_warning "'-R' is ignored for archives" test -n "$vinfo" && \ func_warning "'-version-info/-version-number' is ignored for archives" test -n "$release" && \ func_warning "'-release' is ignored for archives" test -n "$export_symbols$export_symbols_regex" && \ func_warning "'-export-symbols' is ignored for archives" # Now set the variables for building old libraries. build_libtool_libs=no oldlibs=$output func_append objs "$old_deplibs" ;; lib) # Make sure we only generate libraries of the form 'libNAME.la'. case $outputname in lib*) func_stripname 'lib' '.la' "$outputname" name=$func_stripname_result eval shared_ext=\"$shrext_cmds\" eval libname=\"$libname_spec\" ;; *) test no = "$module" \ && func_fatal_help "libtool library '$output' must begin with 'lib'" if test no != "$need_lib_prefix"; then # Add the "lib" prefix for modules if required func_stripname '' '.la' "$outputname" name=$func_stripname_result eval shared_ext=\"$shrext_cmds\" eval libname=\"$libname_spec\" else func_stripname '' '.la' "$outputname" libname=$func_stripname_result fi ;; esac if test -n "$objs"; then if test pass_all != "$deplibs_check_method"; then func_fatal_error "cannot build libtool library '$output' from non-libtool objects on this host:$objs" else echo $ECHO "*** Warning: Linking the shared library $output against the non-libtool" $ECHO "*** objects $objs is not portable!" func_append libobjs " $objs" fi fi test no = "$dlself" \ || func_warning "'-dlopen self' is ignored for libtool libraries" set dummy $rpath shift test 1 -lt "$#" \ && func_warning "ignoring multiple '-rpath's for a libtool library" install_libdir=$1 oldlibs= if test -z "$rpath"; then if test yes = "$build_libtool_libs"; then # Building a libtool convenience library. # Some compilers have problems with a '.al' extension so # convenience libraries should have the same extension an # archive normally would. oldlibs="$output_objdir/$libname.$libext $oldlibs" build_libtool_libs=convenience build_old_libs=yes fi test -n "$vinfo" && \ func_warning "'-version-info/-version-number' is ignored for convenience libraries" test -n "$release" && \ func_warning "'-release' is ignored for convenience libraries" else # Parse the version information argument. save_ifs=$IFS; IFS=: set dummy $vinfo 0 0 0 shift IFS=$save_ifs test -n "$7" && \ func_fatal_help "too many parameters to '-version-info'" # convert absolute version numbers to libtool ages # this retains compatibility with .la files and attempts # to make the code below a bit more comprehensible case $vinfo_number in yes) number_major=$1 number_minor=$2 number_revision=$3 # # There are really only two kinds -- those that # use the current revision as the major version # and those that subtract age and use age as # a minor version. But, then there is irix # that has an extra 1 added just for fun # case $version_type in # correct linux to gnu/linux during the next big refactor darwin|freebsd-elf|linux|midnightbsd-elf|osf|windows|none) func_arith $number_major + $number_minor current=$func_arith_result age=$number_minor revision=$number_revision ;; freebsd-aout|qnx|sunos) current=$number_major revision=$number_minor age=0 ;; irix|nonstopux) func_arith $number_major + $number_minor current=$func_arith_result age=$number_minor revision=$number_minor lt_irix_increment=no ;; esac ;; no) current=$1 revision=$2 age=$3 ;; esac # Check that each of the things are valid numbers. case $current in 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; *) func_error "CURRENT '$current' must be a nonnegative integer" func_fatal_error "'$vinfo' is not valid version information" ;; esac case $revision in 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; *) func_error "REVISION '$revision' must be a nonnegative integer" func_fatal_error "'$vinfo' is not valid version information" ;; esac case $age in 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; *) func_error "AGE '$age' must be a nonnegative integer" func_fatal_error "'$vinfo' is not valid version information" ;; esac if test "$age" -gt "$current"; then func_error "AGE '$age' is greater than the current interface number '$current'" func_fatal_error "'$vinfo' is not valid version information" fi # Calculate the version variables. major= versuffix= verstring= case $version_type in none) ;; darwin) # Like Linux, but with the current version available in # verstring for coding it into the library header func_arith $current - $age major=.$func_arith_result versuffix=$major.$age.$revision # Darwin ld doesn't like 0 for these options... func_arith $current + 1 minor_current=$func_arith_result xlcverstring="$wl-compatibility_version $wl$minor_current $wl-current_version $wl$minor_current.$revision" verstring="-compatibility_version $minor_current -current_version $minor_current.$revision" # On Darwin other compilers case $CC in nagfor*) verstring="$wl-compatibility_version $wl$minor_current $wl-current_version $wl$minor_current.$revision" ;; *) verstring="-compatibility_version $minor_current -current_version $minor_current.$revision" ;; esac ;; freebsd-aout) major=.$current versuffix=.$current.$revision ;; freebsd-elf | midnightbsd-elf) func_arith $current - $age major=.$func_arith_result versuffix=$major.$age.$revision ;; irix | nonstopux) if test no = "$lt_irix_increment"; then func_arith $current - $age else func_arith $current - $age + 1 fi major=$func_arith_result case $version_type in nonstopux) verstring_prefix=nonstopux ;; *) verstring_prefix=sgi ;; esac verstring=$verstring_prefix$major.$revision # Add in all the interfaces that we are compatible with. loop=$revision while test 0 -ne "$loop"; do func_arith $revision - $loop iface=$func_arith_result func_arith $loop - 1 loop=$func_arith_result verstring=$verstring_prefix$major.$iface:$verstring done # Before this point, $major must not contain '.'. major=.$major versuffix=$major.$revision ;; linux) # correct to gnu/linux during the next big refactor func_arith $current - $age major=.$func_arith_result versuffix=$major.$age.$revision ;; osf) func_arith $current - $age major=.$func_arith_result versuffix=.$current.$age.$revision verstring=$current.$age.$revision # Add in all the interfaces that we are compatible with. loop=$age while test 0 -ne "$loop"; do func_arith $current - $loop iface=$func_arith_result func_arith $loop - 1 loop=$func_arith_result verstring=$verstring:$iface.0 done # Make executables depend on our current version. func_append verstring ":$current.0" ;; qnx) major=.$current versuffix=.$current ;; sco) major=.$current versuffix=.$current ;; sunos) major=.$current versuffix=.$current.$revision ;; windows) # Use '-' rather than '.', since we only want one # extension on DOS 8.3 file systems. func_arith $current - $age major=$func_arith_result versuffix=-$major ;; *) func_fatal_configuration "unknown library version type '$version_type'" ;; esac # Clear the version info if we defaulted, and they specified a release. if test -z "$vinfo" && test -n "$release"; then major= case $version_type in darwin) # we can't check for "0.0" in archive_cmds due to quoting # problems, so we reset it completely verstring= ;; *) verstring=0.0 ;; esac if test no = "$need_version"; then versuffix= else versuffix=.0.0 fi fi # Remove version info from name if versioning should be avoided if test yes,no = "$avoid_version,$need_version"; then major= versuffix= verstring= fi # Check to see if the archive will have undefined symbols. if test yes = "$allow_undefined"; then if test unsupported = "$allow_undefined_flag"; then if test yes = "$build_old_libs"; then func_warning "undefined symbols not allowed in $host shared libraries; building static only" build_libtool_libs=no else func_fatal_error "can't build $host shared library unless -no-undefined is specified" fi fi else # Don't allow undefined symbols. allow_undefined_flag=$no_undefined_flag fi fi func_generate_dlsyms "$libname" "$libname" : func_append libobjs " $symfileobj" test " " = "$libobjs" && libobjs= if test relink != "$opt_mode"; then # Remove our outputs, but don't remove object files since they # may have been created when compiling PIC objects. removelist= tempremovelist=`$ECHO "$output_objdir/*"` for p in $tempremovelist; do case $p in *.$objext | *.gcno) ;; $output_objdir/$outputname | $output_objdir/$libname.* | $output_objdir/$libname$release.*) if test -n "$precious_files_regex"; then if $ECHO "$p" | $EGREP -e "$precious_files_regex" >/dev/null 2>&1 then continue fi fi func_append removelist " $p" ;; *) ;; esac done test -n "$removelist" && \ func_show_eval "${RM}r \$removelist" fi # Now set the variables for building old libraries. if test yes = "$build_old_libs" && test convenience != "$build_libtool_libs"; then func_append oldlibs " $output_objdir/$libname.$libext" # Transform .lo files to .o files. oldobjs="$objs "`$ECHO "$libobjs" | $SP2NL | $SED "/\.$libext$/d; $lo2o" | $NL2SP` fi # Eliminate all temporary directories. #for path in $notinst_path; do # lib_search_path=`$ECHO "$lib_search_path " | $SED "s% $path % %g"` # deplibs=`$ECHO "$deplibs " | $SED "s% -L$path % %g"` # dependency_libs=`$ECHO "$dependency_libs " | $SED "s% -L$path % %g"` #done if test -n "$xrpath"; then # If the user specified any rpath flags, then add them. temp_xrpath= for libdir in $xrpath; do func_replace_sysroot "$libdir" func_append temp_xrpath " -R$func_replace_sysroot_result" case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac done if test yes != "$hardcode_into_libs" || test yes = "$build_old_libs"; then dependency_libs="$temp_xrpath $dependency_libs" fi fi # Make sure dlfiles contains only unique files that won't be dlpreopened old_dlfiles=$dlfiles dlfiles= for lib in $old_dlfiles; do case " $dlprefiles $dlfiles " in *" $lib "*) ;; *) func_append dlfiles " $lib" ;; esac done # Make sure dlprefiles contains only unique files old_dlprefiles=$dlprefiles dlprefiles= for lib in $old_dlprefiles; do case "$dlprefiles " in *" $lib "*) ;; *) func_append dlprefiles " $lib" ;; esac done if test yes = "$build_libtool_libs"; then if test -n "$rpath"; then case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-*-beos* | *-cegcc* | *-*-haiku*) # these systems don't actually have a c library (as such)! ;; *-*-rhapsody* | *-*-darwin1.[012]) # Rhapsody C library is in the System framework func_append deplibs " System.ltframework" ;; *-*-netbsd*) # Don't link with libc until the a.out ld.so is fixed. ;; *-*-openbsd* | *-*-freebsd* | *-*-dragonfly* | *-*-midnightbsd*) # Do not include libc due to us having libc/libc_r. ;; *-*-sco3.2v5* | *-*-sco5v6*) # Causes problems with __ctype ;; *-*-sysv4.2uw2* | *-*-sysv5* | *-*-unixware* | *-*-OpenUNIX*) # Compiler inserts libc in the correct place for threads to work ;; *) # Add libc to deplibs on all other systems if necessary. if test yes = "$build_libtool_need_lc"; then func_append deplibs " -lc" fi ;; esac fi # Transform deplibs into only deplibs that can be linked in shared. name_save=$name libname_save=$libname release_save=$release versuffix_save=$versuffix major_save=$major # I'm not sure if I'm treating the release correctly. I think # release should show up in the -l (ie -lgmp5) so we don't want to # add it in twice. Is that correct? release= versuffix= major= newdeplibs= droppeddeps=no case $deplibs_check_method in pass_all) # Don't check for shared/static. Everything works. # This might be a little naive. We might want to check # whether the library exists or not. But this is on # osf3 & osf4 and I'm not really sure... Just # implementing what was already the behavior. newdeplibs=$deplibs ;; test_compile) # This code stresses the "libraries are programs" paradigm to its # limits. Maybe even breaks it. We compile a program, linking it # against the deplibs as a proxy for the library. Then we can check # whether they linked in statically or dynamically with ldd. $opt_dry_run || $RM conftest.c cat > conftest.c </dev/null` $nocaseglob else potential_libs=`ls $i/$libnameglob[.-]* 2>/dev/null` fi for potent_lib in $potential_libs; do # Follow soft links. if ls -lLd "$potent_lib" 2>/dev/null | $GREP " -> " >/dev/null; then continue fi # The statement above tries to avoid entering an # endless loop below, in case of cyclic links. # We might still enter an endless loop, since a link # loop can be closed while we follow links, # but so what? potlib=$potent_lib while test -h "$potlib" 2>/dev/null; do potliblink=`ls -ld $potlib | $SED 's/.* -> //'` case $potliblink in [\\/]* | [A-Za-z]:[\\/]*) potlib=$potliblink;; *) potlib=`$ECHO "$potlib" | $SED 's|[^/]*$||'`"$potliblink";; esac done if eval $file_magic_cmd \"\$potlib\" 2>/dev/null | $SED -e 10q | $EGREP "$file_magic_regex" > /dev/null; then func_append newdeplibs " $a_deplib" a_deplib= break 2 fi done done fi if test -n "$a_deplib"; then droppeddeps=yes echo $ECHO "*** Warning: linker path does not have real file for library $a_deplib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have" echo "*** because I did check the linker path looking for a file starting" if test -z "$potlib"; then $ECHO "*** with $libname but no candidates were found. (...for file magic test)" else $ECHO "*** with $libname and none of the candidates passed a file format test" $ECHO "*** using a file magic. Last file checked: $potlib" fi fi ;; *) # Add a -L argument. func_append newdeplibs " $a_deplib" ;; esac done # Gone through all deplibs. ;; match_pattern*) set dummy $deplibs_check_method; shift match_pattern_regex=`expr "$deplibs_check_method" : "$1 \(.*\)"` for a_deplib in $deplibs; do case $a_deplib in -l*) func_stripname -l '' "$a_deplib" name=$func_stripname_result if test yes = "$allow_libtool_libs_with_static_runtimes"; then case " $predeps $postdeps " in *" $a_deplib "*) func_append newdeplibs " $a_deplib" a_deplib= ;; esac fi if test -n "$a_deplib"; then libname=`eval "\\$ECHO \"$libname_spec\""` for i in $lib_search_path $sys_lib_search_path $shlib_search_path; do potential_libs=`ls $i/$libname[.-]* 2>/dev/null` for potent_lib in $potential_libs; do potlib=$potent_lib # see symlink-check above in file_magic test if eval "\$ECHO \"$potent_lib\"" 2>/dev/null | $SED 10q | \ $EGREP "$match_pattern_regex" > /dev/null; then func_append newdeplibs " $a_deplib" a_deplib= break 2 fi done done fi if test -n "$a_deplib"; then droppeddeps=yes echo $ECHO "*** Warning: linker path does not have real file for library $a_deplib." echo "*** I have the capability to make that library automatically link in when" echo "*** you link to this library. But I can only do this if you have a" echo "*** shared version of the library, which you do not appear to have" echo "*** because I did check the linker path looking for a file starting" if test -z "$potlib"; then $ECHO "*** with $libname but no candidates were found. (...for regex pattern test)" else $ECHO "*** with $libname and none of the candidates passed a file format test" $ECHO "*** using a regex pattern. Last file checked: $potlib" fi fi ;; *) # Add a -L argument. func_append newdeplibs " $a_deplib" ;; esac done # Gone through all deplibs. ;; none | unknown | *) newdeplibs= tmp_deplibs=`$ECHO " $deplibs" | $SED 's/ -lc$//; s/ -[LR][^ ]*//g'` if test yes = "$allow_libtool_libs_with_static_runtimes"; then for i in $predeps $postdeps; do # can't use Xsed below, because $i might contain '/' tmp_deplibs=`$ECHO " $tmp_deplibs" | $SED "s|$i||"` done fi case $tmp_deplibs in *[!\ \ ]*) echo if test none = "$deplibs_check_method"; then echo "*** Warning: inter-library dependencies are not supported in this platform." else echo "*** Warning: inter-library dependencies are not known to be supported." fi echo "*** All declared inter-library dependencies are being dropped." droppeddeps=yes ;; esac ;; esac versuffix=$versuffix_save major=$major_save release=$release_save libname=$libname_save name=$name_save case $host in *-*-rhapsody* | *-*-darwin1.[012]) # On Rhapsody replace the C library with the System framework newdeplibs=`$ECHO " $newdeplibs" | $SED 's/ -lc / System.ltframework /'` ;; esac if test yes = "$droppeddeps"; then if test yes = "$module"; then echo echo "*** Warning: libtool could not satisfy all declared inter-library" $ECHO "*** dependencies of module $libname. Therefore, libtool will create" echo "*** a static module, that should work as long as the dlopening" echo "*** application is linked with the -dlopen flag." if test -z "$global_symbol_pipe"; then echo echo "*** However, this would only work if libtool was able to extract symbol" echo "*** lists from a program, using 'nm' or equivalent, but libtool could" echo "*** not find such a program. So, this module is probably useless." echo "*** 'nm' from GNU binutils and a full rebuild may help." fi if test no = "$build_old_libs"; then oldlibs=$output_objdir/$libname.$libext build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi else echo "*** The inter-library dependencies that have been dropped here will be" echo "*** automatically added whenever a program is linked with this library" echo "*** or is declared to -dlopen it." if test no = "$allow_undefined"; then echo echo "*** Since this library must not contain undefined symbols," echo "*** because either the platform does not support them or" echo "*** it was explicitly requested with -no-undefined," echo "*** libtool will only create a static version of it." if test no = "$build_old_libs"; then oldlibs=$output_objdir/$libname.$libext build_libtool_libs=module build_old_libs=yes else build_libtool_libs=no fi fi fi fi # Done checking deplibs! deplibs=$newdeplibs fi # Time to change all our "foo.ltframework" stuff back to "-framework foo" case $host in *-*-darwin*) newdeplibs=`$ECHO " $newdeplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` new_inherited_linker_flags=`$ECHO " $new_inherited_linker_flags" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` deplibs=`$ECHO " $deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` ;; esac # move library search paths that coincide with paths to not yet # installed libraries to the beginning of the library search list new_libs= for path in $notinst_path; do case " $new_libs " in *" -L$path/$objdir "*) ;; *) case " $deplibs " in *" -L$path/$objdir "*) func_append new_libs " -L$path/$objdir" ;; esac ;; esac done for deplib in $deplibs; do case $deplib in -L*) case " $new_libs " in *" $deplib "*) ;; *) func_append new_libs " $deplib" ;; esac ;; *) func_append new_libs " $deplib" ;; esac done deplibs=$new_libs # All the library-specific variables (install_libdir is set above). library_names= old_library= dlname= # Test again, we may have decided not to build it any more if test yes = "$build_libtool_libs"; then # Remove $wl instances when linking with ld. # FIXME: should test the right _cmds variable. case $archive_cmds in *\$LD\ *) wl= ;; esac if test yes = "$hardcode_into_libs"; then # Hardcode the library paths hardcode_libdirs= dep_rpath= rpath=$finalize_rpath test relink = "$opt_mode" || rpath=$compile_rpath$rpath for libdir in $rpath; do if test -n "$hardcode_libdir_flag_spec"; then if test -n "$hardcode_libdir_separator"; then func_replace_sysroot "$libdir" libdir=$func_replace_sysroot_result if test -z "$hardcode_libdirs"; then hardcode_libdirs=$libdir else # Just accumulate the unique libdirs. case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) ;; *) func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" func_append dep_rpath " $flag" fi elif test -n "$runpath_var"; then case "$perm_rpath " in *" $libdir "*) ;; *) func_append perm_rpath " $libdir" ;; esac fi done # Substitute the hardcoded libdirs into the rpath. if test -n "$hardcode_libdir_separator" && test -n "$hardcode_libdirs"; then libdir=$hardcode_libdirs eval "dep_rpath=\"$hardcode_libdir_flag_spec\"" fi if test -n "$runpath_var" && test -n "$perm_rpath"; then # We should set the runpath_var. rpath= for dir in $perm_rpath; do func_append rpath "$dir:" done eval "$runpath_var='$rpath\$$runpath_var'; export $runpath_var" fi test -n "$dep_rpath" && deplibs="$dep_rpath $deplibs" fi shlibpath=$finalize_shlibpath test relink = "$opt_mode" || shlibpath=$compile_shlibpath$shlibpath if test -n "$shlibpath"; then eval "$shlibpath_var='$shlibpath\$$shlibpath_var'; export $shlibpath_var" fi # Get the real and link names of the library. eval shared_ext=\"$shrext_cmds\" eval library_names=\"$library_names_spec\" set dummy $library_names shift realname=$1 shift if test -n "$soname_spec"; then eval soname=\"$soname_spec\" else soname=$realname fi if test -z "$dlname"; then dlname=$soname fi lib=$output_objdir/$realname linknames= for link do func_append linknames " $link" done # Use standard objects if they are pic test -z "$pic_flag" && libobjs=`$ECHO "$libobjs" | $SP2NL | $SED "$lo2o" | $NL2SP` test "X$libobjs" = "X " && libobjs= delfiles= if test -n "$export_symbols" && test -n "$include_expsyms"; then $opt_dry_run || cp "$export_symbols" "$output_objdir/$libname.uexp" export_symbols=$output_objdir/$libname.uexp func_append delfiles " $export_symbols" fi orig_export_symbols= case $host_os in cygwin* | mingw* | cegcc*) if test -n "$export_symbols" && test -z "$export_symbols_regex"; then # exporting using user supplied symfile func_dll_def_p "$export_symbols" || { # and it's NOT already a .def file. Must figure out # which of the given symbols are data symbols and tag # them as such. So, trigger use of export_symbols_cmds. # export_symbols gets reassigned inside the "prepare # the list of exported symbols" if statement, so the # include_expsyms logic still works. orig_export_symbols=$export_symbols export_symbols= always_export_symbols=yes } fi ;; esac # Prepare the list of exported symbols if test -z "$export_symbols"; then if test yes = "$always_export_symbols" || test -n "$export_symbols_regex"; then func_verbose "generating symbol list for '$libname.la'" export_symbols=$output_objdir/$libname.exp $opt_dry_run || $RM $export_symbols cmds=$export_symbols_cmds save_ifs=$IFS; IFS='~' for cmd1 in $cmds; do IFS=$save_ifs # Take the normal branch if the nm_file_list_spec branch # doesn't work or if tool conversion is not needed. case $nm_file_list_spec~$to_tool_file_cmd in *~func_convert_file_noop | *~func_convert_file_msys_to_w32 | ~*) try_normal_branch=yes eval cmd=\"$cmd1\" func_len " $cmd" len=$func_len_result ;; *) try_normal_branch=no ;; esac if test yes = "$try_normal_branch" \ && { test "$len" -lt "$max_cmd_len" \ || test "$max_cmd_len" -le -1; } then func_show_eval "$cmd" 'exit $?' skipped_export=false elif test -n "$nm_file_list_spec"; then func_basename "$output" output_la=$func_basename_result save_libobjs=$libobjs save_output=$output output=$output_objdir/$output_la.nm func_to_tool_file "$output" libobjs=$nm_file_list_spec$func_to_tool_file_result func_append delfiles " $output" func_verbose "creating $NM input file list: $output" for obj in $save_libobjs; do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" done > "$output" eval cmd=\"$cmd1\" func_show_eval "$cmd" 'exit $?' output=$save_output libobjs=$save_libobjs skipped_export=false else # The command line is too long to execute in one step. func_verbose "using reloadable object file for export list..." skipped_export=: # Break out early, otherwise skipped_export may be # set to false by a later but shorter cmd. break fi done IFS=$save_ifs if test -n "$export_symbols_regex" && test : != "$skipped_export"; then func_show_eval '$EGREP -e "$export_symbols_regex" "$export_symbols" > "${export_symbols}T"' func_show_eval '$MV "${export_symbols}T" "$export_symbols"' fi fi fi if test -n "$export_symbols" && test -n "$include_expsyms"; then tmp_export_symbols=$export_symbols test -n "$orig_export_symbols" && tmp_export_symbols=$orig_export_symbols $opt_dry_run || eval '$ECHO "$include_expsyms" | $SP2NL >> "$tmp_export_symbols"' fi if test : != "$skipped_export" && test -n "$orig_export_symbols"; then # The given exports_symbols file has to be filtered, so filter it. func_verbose "filter symbol list for '$libname.la' to tag DATA exports" # FIXME: $output_objdir/$libname.filter potentially contains lots of # 's' commands, which not all seds can handle. GNU sed should be fine # though. Also, the filter scales superlinearly with the number of # global variables. join(1) would be nice here, but unfortunately # isn't a blessed tool. $opt_dry_run || $SED -e '/[ ,]DATA/!d;s,\(.*\)\([ \,].*\),s|^\1$|\1\2|,' < $export_symbols > $output_objdir/$libname.filter func_append delfiles " $export_symbols $output_objdir/$libname.filter" export_symbols=$output_objdir/$libname.def $opt_dry_run || $SED -f $output_objdir/$libname.filter < $orig_export_symbols > $export_symbols fi tmp_deplibs= for test_deplib in $deplibs; do case " $convenience " in *" $test_deplib "*) ;; *) func_append tmp_deplibs " $test_deplib" ;; esac done deplibs=$tmp_deplibs if test -n "$convenience"; then if test -n "$whole_archive_flag_spec" && test yes = "$compiler_needs_object" && test -z "$libobjs"; then # extract the archives, so we have objects to list. # TODO: could optimize this to just extract one archive. whole_archive_flag_spec= fi if test -n "$whole_archive_flag_spec"; then save_libobjs=$libobjs eval libobjs=\"\$libobjs $whole_archive_flag_spec\" test "X$libobjs" = "X " && libobjs= else gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_extract_archives $gentop $convenience func_append libobjs " $func_extract_archives_result" test "X$libobjs" = "X " && libobjs= fi fi if test yes = "$thread_safe" && test -n "$thread_safe_flag_spec"; then eval flag=\"$thread_safe_flag_spec\" func_append linker_flags " $flag" fi # Make a backup of the uninstalled library when relinking if test relink = "$opt_mode"; then $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}U && $MV $realname ${realname}U)' || exit $? fi # Do each of the archive commands. if test yes = "$module" && test -n "$module_cmds"; then if test -n "$export_symbols" && test -n "$module_expsym_cmds"; then eval test_cmds=\"$module_expsym_cmds\" cmds=$module_expsym_cmds else eval test_cmds=\"$module_cmds\" cmds=$module_cmds fi else if test -n "$export_symbols" && test -n "$archive_expsym_cmds"; then eval test_cmds=\"$archive_expsym_cmds\" cmds=$archive_expsym_cmds else eval test_cmds=\"$archive_cmds\" cmds=$archive_cmds fi fi if test : != "$skipped_export" && func_len " $test_cmds" && len=$func_len_result && test "$len" -lt "$max_cmd_len" || test "$max_cmd_len" -le -1; then : else # The command line is too long to link in one step, link piecewise # or, if using GNU ld and skipped_export is not :, use a linker # script. # Save the value of $output and $libobjs because we want to # use them later. If we have whole_archive_flag_spec, we # want to use save_libobjs as it was before # whole_archive_flag_spec was expanded, because we can't # assume the linker understands whole_archive_flag_spec. # This may have to be revisited, in case too many # convenience libraries get linked in and end up exceeding # the spec. if test -z "$convenience" || test -z "$whole_archive_flag_spec"; then save_libobjs=$libobjs fi save_output=$output func_basename "$output" output_la=$func_basename_result # Clear the reloadable object creation command queue and # initialize k to one. test_cmds= concat_cmds= objlist= last_robj= k=1 if test -n "$save_libobjs" && test : != "$skipped_export" && test yes = "$with_gnu_ld"; then output=$output_objdir/$output_la.lnkscript func_verbose "creating GNU ld script: $output" echo 'INPUT (' > $output for obj in $save_libobjs do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" >> $output done echo ')' >> $output func_append delfiles " $output" func_to_tool_file "$output" output=$func_to_tool_file_result elif test -n "$save_libobjs" && test : != "$skipped_export" && test -n "$file_list_spec"; then output=$output_objdir/$output_la.lnk func_verbose "creating linker input file list: $output" : > $output set x $save_libobjs shift firstobj= if test yes = "$compiler_needs_object"; then firstobj="$1 " shift fi for obj do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" >> $output done func_append delfiles " $output" func_to_tool_file "$output" output=$firstobj\"$file_list_spec$func_to_tool_file_result\" else if test -n "$save_libobjs"; then func_verbose "creating reloadable object files..." output=$output_objdir/$output_la-$k.$objext eval test_cmds=\"$reload_cmds\" func_len " $test_cmds" len0=$func_len_result len=$len0 # Loop over the list of objects to be linked. for obj in $save_libobjs do func_len " $obj" func_arith $len + $func_len_result len=$func_arith_result if test -z "$objlist" || test "$len" -lt "$max_cmd_len"; then func_append objlist " $obj" else # The command $test_cmds is almost too long, add a # command to the queue. if test 1 -eq "$k"; then # The first file doesn't have a previous command to add. reload_objs=$objlist eval concat_cmds=\"$reload_cmds\" else # All subsequent reloadable object files will link in # the last one created. reload_objs="$objlist $last_robj" eval concat_cmds=\"\$concat_cmds~$reload_cmds~\$RM $last_robj\" fi last_robj=$output_objdir/$output_la-$k.$objext func_arith $k + 1 k=$func_arith_result output=$output_objdir/$output_la-$k.$objext objlist=" $obj" func_len " $last_robj" func_arith $len0 + $func_len_result len=$func_arith_result fi done # Handle the remaining objects by creating one last # reloadable object file. All subsequent reloadable object # files will link in the last one created. test -z "$concat_cmds" || concat_cmds=$concat_cmds~ reload_objs="$objlist $last_robj" eval concat_cmds=\"\$concat_cmds$reload_cmds\" if test -n "$last_robj"; then eval concat_cmds=\"\$concat_cmds~\$RM $last_robj\" fi func_append delfiles " $output" else output= fi ${skipped_export-false} && { func_verbose "generating symbol list for '$libname.la'" export_symbols=$output_objdir/$libname.exp $opt_dry_run || $RM $export_symbols libobjs=$output # Append the command to create the export file. test -z "$concat_cmds" || concat_cmds=$concat_cmds~ eval concat_cmds=\"\$concat_cmds$export_symbols_cmds\" if test -n "$last_robj"; then eval concat_cmds=\"\$concat_cmds~\$RM $last_robj\" fi } test -n "$save_libobjs" && func_verbose "creating a temporary reloadable object file: $output" # Loop through the commands generated above and execute them. save_ifs=$IFS; IFS='~' for cmd in $concat_cmds; do IFS=$save_ifs $opt_quiet || { func_quote_arg expand,pretty "$cmd" eval "func_echo $func_quote_arg_result" } $opt_dry_run || eval "$cmd" || { lt_exit=$? # Restore the uninstalled library and exit if test relink = "$opt_mode"; then ( cd "$output_objdir" && \ $RM "${realname}T" && \ $MV "${realname}U" "$realname" ) fi exit $lt_exit } done IFS=$save_ifs if test -n "$export_symbols_regex" && ${skipped_export-false}; then func_show_eval '$EGREP -e "$export_symbols_regex" "$export_symbols" > "${export_symbols}T"' func_show_eval '$MV "${export_symbols}T" "$export_symbols"' fi fi ${skipped_export-false} && { if test -n "$export_symbols" && test -n "$include_expsyms"; then tmp_export_symbols=$export_symbols test -n "$orig_export_symbols" && tmp_export_symbols=$orig_export_symbols $opt_dry_run || eval '$ECHO "$include_expsyms" | $SP2NL >> "$tmp_export_symbols"' fi if test -n "$orig_export_symbols"; then # The given exports_symbols file has to be filtered, so filter it. func_verbose "filter symbol list for '$libname.la' to tag DATA exports" # FIXME: $output_objdir/$libname.filter potentially contains lots of # 's' commands, which not all seds can handle. GNU sed should be fine # though. Also, the filter scales superlinearly with the number of # global variables. join(1) would be nice here, but unfortunately # isn't a blessed tool. $opt_dry_run || $SED -e '/[ ,]DATA/!d;s,\(.*\)\([ \,].*\),s|^\1$|\1\2|,' < $export_symbols > $output_objdir/$libname.filter func_append delfiles " $export_symbols $output_objdir/$libname.filter" export_symbols=$output_objdir/$libname.def $opt_dry_run || $SED -f $output_objdir/$libname.filter < $orig_export_symbols > $export_symbols fi } libobjs=$output # Restore the value of output. output=$save_output if test -n "$convenience" && test -n "$whole_archive_flag_spec"; then eval libobjs=\"\$libobjs $whole_archive_flag_spec\" test "X$libobjs" = "X " && libobjs= fi # Expand the library linking commands again to reset the # value of $libobjs for piecewise linking. # Do each of the archive commands. if test yes = "$module" && test -n "$module_cmds"; then if test -n "$export_symbols" && test -n "$module_expsym_cmds"; then cmds=$module_expsym_cmds else cmds=$module_cmds fi else if test -n "$export_symbols" && test -n "$archive_expsym_cmds"; then cmds=$archive_expsym_cmds else cmds=$archive_cmds fi fi fi if test -n "$delfiles"; then # Append the command to remove temporary files to $cmds. eval cmds=\"\$cmds~\$RM $delfiles\" fi # Add any objects from preloaded convenience libraries if test -n "$dlprefiles"; then gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_extract_archives $gentop $dlprefiles func_append libobjs " $func_extract_archives_result" test "X$libobjs" = "X " && libobjs= fi save_ifs=$IFS; IFS='~' for cmd in $cmds; do IFS=$sp$nl eval cmd=\"$cmd\" IFS=$save_ifs $opt_quiet || { func_quote_arg expand,pretty "$cmd" eval "func_echo $func_quote_arg_result" } $opt_dry_run || eval "$cmd" || { lt_exit=$? # Restore the uninstalled library and exit if test relink = "$opt_mode"; then ( cd "$output_objdir" && \ $RM "${realname}T" && \ $MV "${realname}U" "$realname" ) fi exit $lt_exit } done IFS=$save_ifs # Restore the uninstalled library and exit if test relink = "$opt_mode"; then $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}T && $MV $realname ${realname}T && $MV ${realname}U $realname)' || exit $? if test -n "$convenience"; then if test -z "$whole_archive_flag_spec"; then func_show_eval '${RM}r "$gentop"' fi fi exit $EXIT_SUCCESS fi # Create links to the real library. for linkname in $linknames; do if test "$realname" != "$linkname"; then func_show_eval '(cd "$output_objdir" && $RM "$linkname" && $LN_S "$realname" "$linkname")' 'exit $?' fi done # If -module or -export-dynamic was specified, set the dlname. if test yes = "$module" || test yes = "$export_dynamic"; then # On all known operating systems, these are identical. dlname=$soname fi fi ;; obj) if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then func_warning "'-dlopen' is ignored for objects" fi case " $deplibs" in *\ -l* | *\ -L*) func_warning "'-l' and '-L' are ignored for objects" ;; esac test -n "$rpath" && \ func_warning "'-rpath' is ignored for objects" test -n "$xrpath" && \ func_warning "'-R' is ignored for objects" test -n "$vinfo" && \ func_warning "'-version-info' is ignored for objects" test -n "$release" && \ func_warning "'-release' is ignored for objects" case $output in *.lo) test -n "$objs$old_deplibs" && \ func_fatal_error "cannot build library object '$output' from non-libtool objects" libobj=$output func_lo2o "$libobj" obj=$func_lo2o_result ;; *) libobj= obj=$output ;; esac # Delete the old objects. $opt_dry_run || $RM $obj $libobj # Objects from convenience libraries. This assumes # single-version convenience libraries. Whenever we create # different ones for PIC/non-PIC, this we'll have to duplicate # the extraction. reload_conv_objs= gentop= # if reload_cmds runs $LD directly, get rid of -Wl from # whole_archive_flag_spec and hope we can get by with turning comma # into space. case $reload_cmds in *\$LD[\ \$]*) wl= ;; esac if test -n "$convenience"; then if test -n "$whole_archive_flag_spec"; then eval tmp_whole_archive_flags=\"$whole_archive_flag_spec\" test -n "$wl" || tmp_whole_archive_flags=`$ECHO "$tmp_whole_archive_flags" | $SED 's|,| |g'` reload_conv_objs=$reload_objs\ $tmp_whole_archive_flags else gentop=$output_objdir/${obj}x func_append generated " $gentop" func_extract_archives $gentop $convenience reload_conv_objs="$reload_objs $func_extract_archives_result" fi fi # If we're not building shared, we need to use non_pic_objs test yes = "$build_libtool_libs" || libobjs=$non_pic_objects # Create the old-style object. reload_objs=$objs$old_deplibs' '`$ECHO "$libobjs" | $SP2NL | $SED "/\.$libext$/d; /\.lib$/d; $lo2o" | $NL2SP`' '$reload_conv_objs output=$obj func_execute_cmds "$reload_cmds" 'exit $?' # Exit if we aren't doing a library object file. if test -z "$libobj"; then if test -n "$gentop"; then func_show_eval '${RM}r "$gentop"' fi exit $EXIT_SUCCESS fi test yes = "$build_libtool_libs" || { if test -n "$gentop"; then func_show_eval '${RM}r "$gentop"' fi # Create an invalid libtool object if no PIC, so that we don't # accidentally link it into a program. # $show "echo timestamp > $libobj" # $opt_dry_run || eval "echo timestamp > $libobj" || exit $? exit $EXIT_SUCCESS } if test -n "$pic_flag" || test default != "$pic_mode"; then # Only do commands if we really have different PIC objects. reload_objs="$libobjs $reload_conv_objs" output=$libobj func_execute_cmds "$reload_cmds" 'exit $?' fi if test -n "$gentop"; then func_show_eval '${RM}r "$gentop"' fi exit $EXIT_SUCCESS ;; prog) case $host in *cygwin*) func_stripname '' '.exe' "$output" output=$func_stripname_result.exe;; esac test -n "$vinfo" && \ func_warning "'-version-info' is ignored for programs" test -n "$release" && \ func_warning "'-release' is ignored for programs" $preload \ && test unknown,unknown,unknown = "$dlopen_support,$dlopen_self,$dlopen_self_static" \ && func_warning "'LT_INIT([dlopen])' not used. Assuming no dlopen support." case $host in *-*-rhapsody* | *-*-darwin1.[012]) # On Rhapsody replace the C library is the System framework compile_deplibs=`$ECHO " $compile_deplibs" | $SED 's/ -lc / System.ltframework /'` finalize_deplibs=`$ECHO " $finalize_deplibs" | $SED 's/ -lc / System.ltframework /'` ;; esac case $host in *-*-darwin*) # Don't allow lazy linking, it breaks C++ global constructors # But is supposedly fixed on 10.4 or later (yay!). if test CXX = "$tagname"; then case ${MACOSX_DEPLOYMENT_TARGET-10.0} in 10.[0123]) func_append compile_command " $wl-bind_at_load" func_append finalize_command " $wl-bind_at_load" ;; esac fi # Time to change all our "foo.ltframework" stuff back to "-framework foo" compile_deplibs=`$ECHO " $compile_deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` finalize_deplibs=`$ECHO " $finalize_deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` ;; esac # move library search paths that coincide with paths to not yet # installed libraries to the beginning of the library search list new_libs= for path in $notinst_path; do case " $new_libs " in *" -L$path/$objdir "*) ;; *) case " $compile_deplibs " in *" -L$path/$objdir "*) func_append new_libs " -L$path/$objdir" ;; esac ;; esac done for deplib in $compile_deplibs; do case $deplib in -L*) case " $new_libs " in *" $deplib "*) ;; *) func_append new_libs " $deplib" ;; esac ;; *) func_append new_libs " $deplib" ;; esac done compile_deplibs=$new_libs func_append compile_command " $compile_deplibs" func_append finalize_command " $finalize_deplibs" if test -n "$rpath$xrpath"; then # If the user specified any rpath flags, then add them. for libdir in $rpath $xrpath; do # This is the magic to use -rpath. case "$finalize_rpath " in *" $libdir "*) ;; *) func_append finalize_rpath " $libdir" ;; esac done fi # Now hardcode the library paths rpath= hardcode_libdirs= for libdir in $compile_rpath $finalize_rpath; do if test -n "$hardcode_libdir_flag_spec"; then if test -n "$hardcode_libdir_separator"; then if test -z "$hardcode_libdirs"; then hardcode_libdirs=$libdir else # Just accumulate the unique libdirs. case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) ;; *) func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" func_append rpath " $flag" fi elif test -n "$runpath_var"; then case "$perm_rpath " in *" $libdir "*) ;; *) func_append perm_rpath " $libdir" ;; esac fi case $host in *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) testbindir=`$ECHO "$libdir" | $SED -e 's*/lib$*/bin*'` case :$dllsearchpath: in *":$libdir:"*) ;; ::) dllsearchpath=$libdir;; *) func_append dllsearchpath ":$libdir";; esac case :$dllsearchpath: in *":$testbindir:"*) ;; ::) dllsearchpath=$testbindir;; *) func_append dllsearchpath ":$testbindir";; esac ;; esac done # Substitute the hardcoded libdirs into the rpath. if test -n "$hardcode_libdir_separator" && test -n "$hardcode_libdirs"; then libdir=$hardcode_libdirs eval rpath=\" $hardcode_libdir_flag_spec\" fi compile_rpath=$rpath rpath= hardcode_libdirs= for libdir in $finalize_rpath; do if test -n "$hardcode_libdir_flag_spec"; then if test -n "$hardcode_libdir_separator"; then if test -z "$hardcode_libdirs"; then hardcode_libdirs=$libdir else # Just accumulate the unique libdirs. case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) ;; *) func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" ;; esac fi else eval flag=\"$hardcode_libdir_flag_spec\" func_append rpath " $flag" fi elif test -n "$runpath_var"; then case "$finalize_perm_rpath " in *" $libdir "*) ;; *) func_append finalize_perm_rpath " $libdir" ;; esac fi done # Substitute the hardcoded libdirs into the rpath. if test -n "$hardcode_libdir_separator" && test -n "$hardcode_libdirs"; then libdir=$hardcode_libdirs eval rpath=\" $hardcode_libdir_flag_spec\" fi finalize_rpath=$rpath if test -n "$libobjs" && test yes = "$build_old_libs"; then # Transform all the library objects into standard objects. compile_command=`$ECHO "$compile_command" | $SP2NL | $SED "$lo2o" | $NL2SP` finalize_command=`$ECHO "$finalize_command" | $SP2NL | $SED "$lo2o" | $NL2SP` fi func_generate_dlsyms "$outputname" "@PROGRAM@" false # template prelinking step if test -n "$prelink_cmds"; then func_execute_cmds "$prelink_cmds" 'exit $?' fi wrappers_required=: case $host in *cegcc* | *mingw32ce*) # Disable wrappers for cegcc and mingw32ce hosts, we are cross compiling anyway. wrappers_required=false ;; *cygwin* | *mingw* ) test yes = "$build_libtool_libs" || wrappers_required=false ;; *) if test no = "$need_relink" || test yes != "$build_libtool_libs"; then wrappers_required=false fi ;; esac $wrappers_required || { # Replace the output file specification. compile_command=`$ECHO "$compile_command" | $SED 's%@OUTPUT@%'"$output"'%g'` link_command=$compile_command$compile_rpath # We have no uninstalled library dependencies, so finalize right now. exit_status=0 func_show_eval "$link_command" 'exit_status=$?' if test -n "$postlink_cmds"; then func_to_tool_file "$output" postlink_cmds=`func_echo_all "$postlink_cmds" | $SED -e 's%@OUTPUT@%'"$output"'%g' -e 's%@TOOL_OUTPUT@%'"$func_to_tool_file_result"'%g'` func_execute_cmds "$postlink_cmds" 'exit $?' fi # Delete the generated files. if test -f "$output_objdir/${outputname}S.$objext"; then func_show_eval '$RM "$output_objdir/${outputname}S.$objext"' fi exit $exit_status } if test -n "$compile_shlibpath$finalize_shlibpath"; then compile_command="$shlibpath_var=\"$compile_shlibpath$finalize_shlibpath\$$shlibpath_var\" $compile_command" fi if test -n "$finalize_shlibpath"; then finalize_command="$shlibpath_var=\"$finalize_shlibpath\$$shlibpath_var\" $finalize_command" fi compile_var= finalize_var= if test -n "$runpath_var"; then if test -n "$perm_rpath"; then # We should set the runpath_var. rpath= for dir in $perm_rpath; do func_append rpath "$dir:" done compile_var="$runpath_var=\"$rpath\$$runpath_var\" " fi if test -n "$finalize_perm_rpath"; then # We should set the runpath_var. rpath= for dir in $finalize_perm_rpath; do func_append rpath "$dir:" done finalize_var="$runpath_var=\"$rpath\$$runpath_var\" " fi fi if test yes = "$no_install"; then # We don't need to create a wrapper script. link_command=$compile_var$compile_command$compile_rpath # Replace the output file specification. link_command=`$ECHO "$link_command" | $SED 's%@OUTPUT@%'"$output"'%g'` # Delete the old output file. $opt_dry_run || $RM $output # Link the executable and exit func_show_eval "$link_command" 'exit $?' if test -n "$postlink_cmds"; then func_to_tool_file "$output" postlink_cmds=`func_echo_all "$postlink_cmds" | $SED -e 's%@OUTPUT@%'"$output"'%g' -e 's%@TOOL_OUTPUT@%'"$func_to_tool_file_result"'%g'` func_execute_cmds "$postlink_cmds" 'exit $?' fi exit $EXIT_SUCCESS fi case $hardcode_action,$fast_install in relink,*) # Fast installation is not supported link_command=$compile_var$compile_command$compile_rpath relink_command=$finalize_var$finalize_command$finalize_rpath func_warning "this platform does not like uninstalled shared libraries" func_warning "'$output' will be relinked during installation" ;; *,yes) link_command=$finalize_var$compile_command$finalize_rpath relink_command=`$ECHO "$compile_var$compile_command$compile_rpath" | $SED 's%@OUTPUT@%\$progdir/\$file%g'` ;; *,no) link_command=$compile_var$compile_command$compile_rpath relink_command=$finalize_var$finalize_command$finalize_rpath ;; *,needless) link_command=$finalize_var$compile_command$finalize_rpath relink_command= ;; esac # Replace the output file specification. link_command=`$ECHO "$link_command" | $SED 's%@OUTPUT@%'"$output_objdir/$outputname"'%g'` # Delete the old output files. $opt_dry_run || $RM $output $output_objdir/$outputname $output_objdir/lt-$outputname func_show_eval "$link_command" 'exit $?' if test -n "$postlink_cmds"; then func_to_tool_file "$output_objdir/$outputname" postlink_cmds=`func_echo_all "$postlink_cmds" | $SED -e 's%@OUTPUT@%'"$output_objdir/$outputname"'%g' -e 's%@TOOL_OUTPUT@%'"$func_to_tool_file_result"'%g'` func_execute_cmds "$postlink_cmds" 'exit $?' fi # Now create the wrapper script. func_verbose "creating $output" # Quote the relink command for shipping. if test -n "$relink_command"; then # Preserve any variables that may affect compiler behavior for var in $variables_saved_for_relink; do if eval test -z \"\${$var+set}\"; then relink_command="{ test -z \"\${$var+set}\" || $lt_unset $var || { $var=; export $var; }; }; $relink_command" elif eval var_value=\$$var; test -z "$var_value"; then relink_command="$var=; export $var; $relink_command" else func_quote_arg pretty "$var_value" relink_command="$var=$func_quote_arg_result; export $var; $relink_command" fi done func_quote eval cd "`pwd`" func_quote_arg pretty,unquoted "($func_quote_result; $relink_command)" relink_command=$func_quote_arg_unquoted_result fi # Only actually do things if not in dry run mode. $opt_dry_run || { # win32 will think the script is a binary if it has # a .exe suffix, so we strip it off here. case $output in *.exe) func_stripname '' '.exe' "$output" output=$func_stripname_result ;; esac # test for cygwin because mv fails w/o .exe extensions case $host in *cygwin*) exeext=.exe func_stripname '' '.exe' "$outputname" outputname=$func_stripname_result ;; *) exeext= ;; esac case $host in *cygwin* | *mingw* ) func_dirname_and_basename "$output" "" "." output_name=$func_basename_result output_path=$func_dirname_result cwrappersource=$output_path/$objdir/lt-$output_name.c cwrapper=$output_path/$output_name.exe $RM $cwrappersource $cwrapper trap "$RM $cwrappersource $cwrapper; exit $EXIT_FAILURE" 1 2 15 func_emit_cwrapperexe_src > $cwrappersource # The wrapper executable is built using the $host compiler, # because it contains $host paths and files. 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We have # to avoid creating archives with duplicate basenames if we # might have to extract them afterwards, e.g., when creating a # static archive out of a convenience library, or when linking # the entirety of a libtool archive into another (currently # not supported by libtool). if (for obj in $oldobjs do func_basename "$obj" $ECHO "$func_basename_result" done | sort | sort -uc >/dev/null 2>&1); then : else echo "copying selected object files to avoid basename conflicts..." gentop=$output_objdir/${outputname}x func_append generated " $gentop" func_mkdir_p "$gentop" save_oldobjs=$oldobjs oldobjs= counter=1 for obj in $save_oldobjs do func_basename "$obj" objbase=$func_basename_result case " $oldobjs " in " ") oldobjs=$obj ;; *[\ /]"$objbase "*) while :; do # Make sure we don't pick an alternate name that also # overlaps. newobj=lt$counter-$objbase func_arith $counter + 1 counter=$func_arith_result case " $oldobjs " in *[\ /]"$newobj "*) ;; *) if test ! -f "$gentop/$newobj"; then break; fi ;; esac done func_show_eval "ln $obj $gentop/$newobj || cp $obj $gentop/$newobj" func_append oldobjs " $gentop/$newobj" ;; *) func_append oldobjs " $obj" ;; esac done fi func_to_tool_file "$oldlib" func_convert_file_msys_to_w32 tool_oldlib=$func_to_tool_file_result eval cmds=\"$old_archive_cmds\" func_len " $cmds" len=$func_len_result if test "$len" -lt "$max_cmd_len" || test "$max_cmd_len" -le -1; then cmds=$old_archive_cmds elif test -n "$archiver_list_spec"; then func_verbose "using command file archive linking..." for obj in $oldobjs do func_to_tool_file "$obj" $ECHO "$func_to_tool_file_result" done > $output_objdir/$libname.libcmd func_to_tool_file "$output_objdir/$libname.libcmd" oldobjs=" $archiver_list_spec$func_to_tool_file_result" cmds=$old_archive_cmds else # the command line is too long to link in one step, link in parts func_verbose "using piecewise archive linking..." save_RANLIB=$RANLIB RANLIB=: objlist= concat_cmds= save_oldobjs=$oldobjs oldobjs= # Is there a better way of finding the last object in the list? for obj in $save_oldobjs do last_oldobj=$obj done eval test_cmds=\"$old_archive_cmds\" func_len " $test_cmds" len0=$func_len_result len=$len0 for obj in $save_oldobjs do func_len " $obj" func_arith $len + $func_len_result len=$func_arith_result func_append objlist " $obj" if test "$len" -lt "$max_cmd_len"; then : else # the above command should be used before it gets too long oldobjs=$objlist if test "$obj" = "$last_oldobj"; then RANLIB=$save_RANLIB fi test -z "$concat_cmds" || concat_cmds=$concat_cmds~ eval concat_cmds=\"\$concat_cmds$old_archive_cmds\" objlist= len=$len0 fi done RANLIB=$save_RANLIB oldobjs=$objlist if test -z "$oldobjs"; then eval cmds=\"\$concat_cmds\" else eval cmds=\"\$concat_cmds~\$old_archive_cmds\" fi fi fi func_execute_cmds "$cmds" 'exit $?' done test -n "$generated" && \ func_show_eval "${RM}r$generated" # Now create the libtool archive. case $output in *.la) old_library= test yes = "$build_old_libs" && old_library=$libname.$libext func_verbose "creating $output" # Preserve any variables that may affect compiler behavior for var in $variables_saved_for_relink; do if eval test -z \"\${$var+set}\"; then relink_command="{ test -z \"\${$var+set}\" || $lt_unset $var || { $var=; export $var; }; }; $relink_command" elif eval var_value=\$$var; test -z "$var_value"; then relink_command="$var=; export $var; $relink_command" else func_quote_arg pretty,unquoted "$var_value" relink_command="$var=$func_quote_arg_unquoted_result; export $var; $relink_command" fi done # Quote the link command for shipping. func_quote eval cd "`pwd`" relink_command="($func_quote_result; $SHELL \"$progpath\" $preserve_args --mode=relink $libtool_args @inst_prefix_dir@)" func_quote_arg pretty,unquoted "$relink_command" relink_command=$func_quote_arg_unquoted_result if test yes = "$hardcode_automatic"; then relink_command= fi # Only create the output if not a dry run. $opt_dry_run || { for installed in no yes; do if test yes = "$installed"; then if test -z "$install_libdir"; then break fi output=$output_objdir/${outputname}i # Replace all uninstalled libtool libraries with the installed ones newdependency_libs= for deplib in $dependency_libs; do case $deplib in *.la) func_basename "$deplib" name=$func_basename_result func_resolve_sysroot "$deplib" eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $func_resolve_sysroot_result` test -z "$libdir" && \ func_fatal_error "'$deplib' is not a valid libtool archive" func_append newdependency_libs " ${lt_sysroot:+=}$libdir/$name" ;; -L*) func_stripname -L '' "$deplib" func_replace_sysroot "$func_stripname_result" func_append newdependency_libs " -L$func_replace_sysroot_result" ;; -R*) func_stripname -R '' "$deplib" func_replace_sysroot "$func_stripname_result" func_append newdependency_libs " -R$func_replace_sysroot_result" ;; *) func_append newdependency_libs " $deplib" ;; esac done dependency_libs=$newdependency_libs newdlfiles= for lib in $dlfiles; do case $lib in *.la) func_basename "$lib" name=$func_basename_result eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $lib` test -z "$libdir" && \ func_fatal_error "'$lib' is not a valid libtool archive" func_append newdlfiles " ${lt_sysroot:+=}$libdir/$name" ;; *) func_append newdlfiles " $lib" ;; esac done dlfiles=$newdlfiles newdlprefiles= for lib in $dlprefiles; do case $lib in *.la) # Only pass preopened files to the pseudo-archive (for # eventual linking with the app. that links it) if we # didn't already link the preopened objects directly into # the library: func_basename "$lib" name=$func_basename_result eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $lib` test -z "$libdir" && \ func_fatal_error "'$lib' is not a valid libtool archive" func_append newdlprefiles " ${lt_sysroot:+=}$libdir/$name" ;; esac done dlprefiles=$newdlprefiles else newdlfiles= for lib in $dlfiles; do case $lib in [\\/]* | [A-Za-z]:[\\/]*) abs=$lib ;; *) abs=`pwd`"/$lib" ;; esac func_append newdlfiles " $abs" done dlfiles=$newdlfiles newdlprefiles= for lib in $dlprefiles; do case $lib in [\\/]* | [A-Za-z]:[\\/]*) abs=$lib ;; *) abs=`pwd`"/$lib" ;; esac func_append newdlprefiles " $abs" done dlprefiles=$newdlprefiles fi $RM $output # place dlname in correct position for cygwin # In fact, it would be nice if we could use this code for all target # systems that can't hard-code library paths into their executables # and that have no shared library path variable independent of PATH, # but it turns out we can't easily determine that from inspecting # libtool variables, so we have to hard-code the OSs to which it # applies here; at the moment, that means platforms that use the PE # object format with DLL files. 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See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that program. # This file is maintained in Automake, please report # bugs to or send patches to # . # Make unconditional expansion of undefined variables an error. 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See the # GNU General Public License for more details. # You should have received a copy of the GNU General Public License # along with this program. If not, see . # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that program. # Originally written by Alexandre Oliva . case $1 in '') echo "$0: No command. Try '$0 --help' for more information." 1>&2 exit 1; ;; -h | --h*) cat <<\EOF Usage: depcomp [--help] [--version] PROGRAM [ARGS] Run PROGRAMS ARGS to compile a file, generating dependencies as side-effects. Environment variables: depmode Dependency tracking mode. source Source file read by 'PROGRAMS ARGS'. object Object file output by 'PROGRAMS ARGS'. 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Note that we *cannot* use a case # here, because this file can only contain one case statement. if test "$depmode" = hp; then # HP compiler uses -M and no extra arg. gccflag=-M depmode=gcc fi if test "$depmode" = dashXmstdout; then # This is just like dashmstdout with a different argument. dashmflag=-xM depmode=dashmstdout fi cygpath_u="cygpath -u -f -" if test "$depmode" = msvcmsys; then # This is just like msvisualcpp but w/o cygpath translation. # Just convert the backslash-escaped backslashes to single forward # slashes to satisfy depend.m4 cygpath_u='sed s,\\\\,/,g' depmode=msvisualcpp fi if test "$depmode" = msvc7msys; then # This is just like msvc7 but w/o cygpath translation. # Just convert the backslash-escaped backslashes to single forward # slashes to satisfy depend.m4 cygpath_u='sed s,\\\\,/,g' depmode=msvc7 fi if test "$depmode" = xlc; then # IBM C/C++ Compilers xlc/xlC can output gcc-like dependency information. gccflag=-qmakedep=gcc,-MF depmode=gcc fi case "$depmode" in gcc3) ## gcc 3 implements dependency tracking that does exactly what ## we want. Yay! Note: for some reason libtool 1.4 doesn't like ## it if -MD -MP comes after the -MF stuff. Hmm. ## Unfortunately, FreeBSD c89 acceptance of flags depends upon ## the command line argument order; so add the flags where they ## appear in depend2.am. Note that the slowdown incurred here ## affects only configure: in makefiles, %FASTDEP% shortcuts this. for arg do case $arg in -c) set fnord "$@" -MT "$object" -MD -MP -MF "$tmpdepfile" "$arg" ;; *) set fnord "$@" "$arg" ;; esac shift # fnord shift # $arg done "$@" stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile" exit $stat fi mv "$tmpdepfile" "$depfile" ;; gcc) ## Note that this doesn't just cater to obsosete pre-3.x GCC compilers. ## but also to in-use compilers like IMB xlc/xlC and the HP C compiler. ## (see the conditional assignment to $gccflag above). ## There are various ways to get dependency output from gcc. Here's ## why we pick this rather obscure method: ## - Don't want to use -MD because we'd like the dependencies to end ## up in a subdir. Having to rename by hand is ugly. ## (We might end up doing this anyway to support other compilers.) ## - The DEPENDENCIES_OUTPUT environment variable makes gcc act like ## -MM, not -M (despite what the docs say). 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On the theory ## that the space means something, we add a space to the output as ## well. hp depmode also adds that space, but also prefixes the VPATH ## to the object. Take care to not repeat it in the output. ## Some versions of the HPUX 10.20 sed can't process this invocation ## correctly. Breaking it into two sed invocations is a workaround. tr ' ' "$nl" < "$tmpdepfile" \ | sed -e 's/^\\$//' -e '/^$/d' -e "s|.*$object$||" -e '/:$/d' \ | sed -e 's/$/ :/' >> "$depfile" rm -f "$tmpdepfile" ;; hp) # This case exists only to let depend.m4 do its work. It works by # looking at the text of this script. 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We also remove comment lines; # the IRIX cc adds comments like '#:fec' to the end of the # dependency line. tr ' ' "$nl" < "$tmpdepfile" \ | sed -e 's/^.*\.o://' -e 's/#.*$//' -e '/^$/ d' \ | tr "$nl" ' ' >> "$depfile" echo >> "$depfile" # The second pass generates a dummy entry for each header file. tr ' ' "$nl" < "$tmpdepfile" \ | sed -e 's/^.*\.o://' -e 's/#.*$//' -e '/^$/ d' -e 's/$/:/' \ >> "$depfile" else make_dummy_depfile fi rm -f "$tmpdepfile" ;; xlc) # This case exists only to let depend.m4 do its work. It works by # looking at the text of this script. This case will never be run, # since it is checked for above. exit 1 ;; aix) # The C for AIX Compiler uses -M and outputs the dependencies # in a .u file. In older versions, this file always lives in the # current directory. Also, the AIX compiler puts '$object:' at the # start of each line; $object doesn't have directory information. # Version 6 uses the directory in both cases. set_dir_from "$object" set_base_from "$object" if test "$libtool" = yes; then tmpdepfile1=$dir$base.u tmpdepfile2=$base.u tmpdepfile3=$dir.libs/$base.u "$@" -Wc,-M else tmpdepfile1=$dir$base.u tmpdepfile2=$dir$base.u tmpdepfile3=$dir$base.u "$@" -M fi stat=$? if test $stat -ne 0; then rm -f "$tmpdepfile1" "$tmpdepfile2" "$tmpdepfile3" exit $stat fi for tmpdepfile in "$tmpdepfile1" "$tmpdepfile2" "$tmpdepfile3" do test -f "$tmpdepfile" && break done aix_post_process_depfile ;; tcc) # tcc (Tiny C Compiler) understand '-MD -MF file' since version 0.9.26 # FIXME: That version still under development at the moment of writing. # Make that this statement remains true also for stable, released # versions. # It will wrap lines (doesn't matter whether long or short) with a # trailing '\', as in: # # foo.o : \ # foo.c \ # foo.h \ # # It will put a trailing '\' even on the last line, and will use leading # spaces rather than leading tabs (at least since its commit 0394caf7 # "Emit spaces for -MD"). 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Use a locking strategy to avoid stomping on # the same $tmpdepfile. lockdir=$base.d-lock trap " echo '$0: caught signal, cleaning up...' >&2 rmdir '$lockdir' exit 1 " 1 2 13 15 numtries=100 i=$numtries while test $i -gt 0; do # mkdir is a portable test-and-set. if mkdir "$lockdir" 2>/dev/null; then # This process acquired the lock. "$@" -MD stat=$? # Release the lock. rmdir "$lockdir" break else # If the lock is being held by a different process, wait # until the winning process is done or we timeout. while test -d "$lockdir" && test $i -gt 0; do sleep 1 i=`expr $i - 1` done fi i=`expr $i - 1` done trap - 1 2 13 15 if test $i -le 0; then echo "$0: failed to acquire lock after $numtries attempts" >&2 echo "$0: check lockdir '$lockdir'" >&2 exit 1 fi if test $stat -ne 0; then rm -f "$tmpdepfile" exit $stat fi rm -f "$depfile" # Each line is of the form `foo.o: dependent.h', # or `foo.o: dep1.h dep2.h \', or ` dep3.h dep4.h \'. # Do two passes, one to just change these to # `$object: dependent.h' and one to simply `dependent.h:'. sed "s,^[^:]*:,$object :," < "$tmpdepfile" > "$depfile" # Some versions of the HPUX 10.20 sed can't process this invocation # correctly. 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See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that program. # This file is maintained in Automake, please report # bugs to or send patches to # . nl=' ' # We need space, tab and new line, in precisely that order. Quoting is # there to prevent tools from complaining about whitespace usage. IFS=" "" $nl" file_conv= # func_file_conv build_file lazy # Convert a $build file to $host form and store it in $file # Currently only supports Windows hosts. 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"$@" ret=$? if test -f "$cofile"; then test "$cofile" = "$ofile" || mv "$cofile" "$ofile" elif test -f "${cofile}bj"; then test "${cofile}bj" = "$ofile" || mv "${cofile}bj" "$ofile" fi rmdir "$lockdir" exit $ret # Local Variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-start: "scriptversion=" # time-stamp-format: "%:y-%02m-%02d.%02H" # time-stamp-time-zone: "UTC0" # time-stamp-end: "; # UTC" # End: mpc-1.3.1/build-aux/mdate-sh0000777000175100017460000001373214344353471012566 00000000000000#!/bin/sh # Get modification time of a file or directory and pretty-print it. scriptversion=2018-03-07.03; # UTC # Copyright (C) 1995-2021 Free Software Foundation, Inc. # written by Ulrich Drepper , June 1995 # # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2, or (at your option) # any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that program. # This file is maintained in Automake, please report # bugs to or send patches to # . if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then emulate sh NULLCMD=: # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' setopt NO_GLOB_SUBST fi case $1 in '') echo "$0: No file. Try '$0 --help' for more information." 1>&2 exit 1; ;; -h | --h*) cat <<\EOF Usage: mdate-sh [--help] [--version] FILE Pretty-print the modification day of FILE, in the format: 1 January 1970 Report bugs to . EOF exit $? ;; -v | --v*) echo "mdate-sh $scriptversion" exit $? ;; esac error () { echo "$0: $1" >&2 exit 1 } # Prevent date giving response in another language. LANG=C export LANG LC_ALL=C export LC_ALL LC_TIME=C export LC_TIME # Use UTC to get reproducible result. TZ=UTC0 export TZ # GNU ls changes its time format in response to the TIME_STYLE # variable. Since we cannot assume 'unset' works, revert this # variable to its documented default. if test "${TIME_STYLE+set}" = set; then TIME_STYLE=posix-long-iso export TIME_STYLE fi save_arg1=$1 # Find out how to get the extended ls output of a file or directory. if ls -L /dev/null 1>/dev/null 2>&1; then ls_command='ls -L -l -d' else ls_command='ls -l -d' fi # Avoid user/group names that might have spaces, when possible. if ls -n /dev/null 1>/dev/null 2>&1; then ls_command="$ls_command -n" fi # A 'ls -l' line looks as follows on OS/2. # drwxrwx--- 0 Aug 11 2001 foo # This differs from Unix, which adds ownership information. # drwxrwx--- 2 root root 4096 Aug 11 2001 foo # # To find the date, we split the line on spaces and iterate on words # until we find a month. This cannot work with files whose owner is a # user named "Jan", or "Feb", etc. However, it's unlikely that '/' # will be owned by a user whose name is a month. So we first look at # the extended ls output of the root directory to decide how many # words should be skipped to get the date. # On HPUX /bin/sh, "set" interprets "-rw-r--r--" as options, so the "x" below. set x`$ls_command /` # Find which argument is the month. month= command= until test $month do test $# -gt 0 || error "failed parsing '$ls_command /' output" shift # Add another shift to the command. command="$command shift;" case $1 in Jan) month=January; nummonth=1;; Feb) month=February; nummonth=2;; Mar) month=March; nummonth=3;; Apr) month=April; nummonth=4;; May) month=May; nummonth=5;; Jun) month=June; nummonth=6;; Jul) month=July; nummonth=7;; Aug) month=August; nummonth=8;; Sep) month=September; nummonth=9;; Oct) month=October; nummonth=10;; Nov) month=November; nummonth=11;; Dec) month=December; nummonth=12;; esac done test -n "$month" || error "failed parsing '$ls_command /' output" # Get the extended ls output of the file or directory. set dummy x`eval "$ls_command \"\\\$save_arg1\""` # Remove all preceding arguments eval $command # Because of the dummy argument above, month is in $2. # # On a POSIX system, we should have # # $# = 5 # $1 = file size # $2 = month # $3 = day # $4 = year or time # $5 = filename # # On Darwin 7.7.0 and 7.6.0, we have # # $# = 4 # $1 = day # $2 = month # $3 = year or time # $4 = filename # Get the month. case $2 in Jan) month=January; nummonth=1;; Feb) month=February; nummonth=2;; Mar) month=March; nummonth=3;; Apr) month=April; nummonth=4;; May) month=May; nummonth=5;; Jun) month=June; nummonth=6;; Jul) month=July; nummonth=7;; Aug) month=August; nummonth=8;; Sep) month=September; nummonth=9;; Oct) month=October; nummonth=10;; Nov) month=November; nummonth=11;; Dec) month=December; nummonth=12;; esac case $3 in ???*) day=$1;; *) day=$3; shift;; esac # Here we have to deal with the problem that the ls output gives either # the time of day or the year. case $3 in *:*) set `date`; eval year=\$$# case $2 in Jan) nummonthtod=1;; Feb) nummonthtod=2;; Mar) nummonthtod=3;; Apr) nummonthtod=4;; May) nummonthtod=5;; Jun) nummonthtod=6;; Jul) nummonthtod=7;; Aug) nummonthtod=8;; Sep) nummonthtod=9;; Oct) nummonthtod=10;; Nov) nummonthtod=11;; Dec) nummonthtod=12;; esac # For the first six month of the year the time notation can also # be used for files modified in the last year. if (expr $nummonth \> $nummonthtod) > /dev/null; then year=`expr $year - 1` fi;; *) year=$3;; esac # The result. echo $day $month $year # Local Variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-start: "scriptversion=" # time-stamp-format: "%:y-%02m-%02d.%02H" # time-stamp-time-zone: "UTC0" # time-stamp-end: "; # UTC" # End: mpc-1.3.1/build-aux/install-sh0000777000175100017460000003577614344353471013156 00000000000000#!/bin/sh # install - install a program, script, or datafile scriptversion=2020-11-14.01; # UTC # This originates from X11R5 (mit/util/scripts/install.sh), which was # later released in X11R6 (xc/config/util/install.sh) with the # following copyright and license. # # Copyright (C) 1994 X Consortium # # Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to # deal in the Software without restriction, including without limitation the # rights to use, copy, modify, merge, publish, distribute, sublicense, and/or # sell copies of the Software, and to permit persons to whom the Software is # furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included in # all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE # X CONSORTIUM BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN # AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNEC- # TION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. # # Except as contained in this notice, the name of the X Consortium shall not # be used in advertising or otherwise to promote the sale, use or other deal- # ings in this Software without prior written authorization from the X Consor- # tium. # # # FSF changes to this file are in the public domain. # # Calling this script install-sh is preferred over install.sh, to prevent # 'make' implicit rules from creating a file called install from it # when there is no Makefile. # # This script is compatible with the BSD install script, but was written # from scratch. tab=' ' nl=' ' IFS=" $tab$nl" # Set DOITPROG to "echo" to test this script. doit=${DOITPROG-} doit_exec=${doit:-exec} # Put in absolute file names if you don't have them in your path; # or use environment vars. chgrpprog=${CHGRPPROG-chgrp} chmodprog=${CHMODPROG-chmod} chownprog=${CHOWNPROG-chown} cmpprog=${CMPPROG-cmp} cpprog=${CPPROG-cp} mkdirprog=${MKDIRPROG-mkdir} mvprog=${MVPROG-mv} rmprog=${RMPROG-rm} stripprog=${STRIPPROG-strip} posix_mkdir= # Desired mode of installed file. mode=0755 # Create dirs (including intermediate dirs) using mode 755. # This is like GNU 'install' as of coreutils 8.32 (2020). mkdir_umask=22 backupsuffix= chgrpcmd= chmodcmd=$chmodprog chowncmd= mvcmd=$mvprog rmcmd="$rmprog -f" stripcmd= src= dst= dir_arg= dst_arg= copy_on_change=false is_target_a_directory=possibly usage="\ Usage: $0 [OPTION]... [-T] SRCFILE DSTFILE or: $0 [OPTION]... SRCFILES... DIRECTORY or: $0 [OPTION]... -t DIRECTORY SRCFILES... or: $0 [OPTION]... -d DIRECTORIES... In the 1st form, copy SRCFILE to DSTFILE. In the 2nd and 3rd, copy all SRCFILES to DIRECTORY. In the 4th, create DIRECTORIES. Options: --help display this help and exit. --version display version info and exit. -c (ignored) -C install only if different (preserve data modification time) -d create directories instead of installing files. -g GROUP $chgrpprog installed files to GROUP. -m MODE $chmodprog installed files to MODE. -o USER $chownprog installed files to USER. -p pass -p to $cpprog. -s $stripprog installed files. -S SUFFIX attempt to back up existing files, with suffix SUFFIX. -t DIRECTORY install into DIRECTORY. -T report an error if DSTFILE is a directory. 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(umask $mkdir_umask && eval "\$doit_exec \$mkdirprog $prefixes") || test -d "$dstdir" || exit 1 obsolete_mkdir_used=true fi fi fi if test -n "$dir_arg"; then { test -z "$chowncmd" || $doit $chowncmd "$dst"; } && { test -z "$chgrpcmd" || $doit $chgrpcmd "$dst"; } && { test "$obsolete_mkdir_used$chowncmd$chgrpcmd" = false || test -z "$chmodcmd" || $doit $chmodcmd $mode "$dst"; } || exit 1 else # Make a couple of temp file names in the proper directory. dsttmp=${dstdirslash}_inst.$$_ rmtmp=${dstdirslash}_rm.$$_ # Trap to clean up those temp files at exit. trap 'ret=$?; rm -f "$dsttmp" "$rmtmp" && exit $ret' 0 # Copy the file name to the temp name. 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See the GNU % General Public License for more details. % % You should have received a copy of the GNU General Public License % along with this program. If not, see . % % As a special exception, when this file is read by TeX when processing % a Texinfo source document, you may use the result without % restriction. This Exception is an additional permission under section 7 % of the GNU General Public License, version 3 ("GPLv3"). % % Please try the latest version of texinfo.tex before submitting bug % reports; you can get the latest version from: % https://ftp.gnu.org/gnu/texinfo/ (the Texinfo release area), or % https://ftpmirror.gnu.org/texinfo/ (same, via a mirror), or % https://www.gnu.org/software/texinfo/ (the Texinfo home page) % The texinfo.tex in any given distribution could well be out % of date, so if that's what you're using, please check. % % Send bug reports to bug-texinfo@gnu.org. Please include a % complete document in each bug report with which we can reproduce the % problem. Patches are, of course, greatly appreciated. % % To process a Texinfo manual with TeX, it's most reliable to use the % texi2dvi shell script that comes with the distribution. For a simple % manual foo.texi, however, you can get away with this: % tex foo.texi % texindex foo.?? % tex foo.texi % tex foo.texi % dvips foo.dvi -o # or whatever; this makes foo.ps. % The extra TeX runs get the cross-reference information correct. % Sometimes one run after texindex suffices, and sometimes you need more % than two; texi2dvi does it as many times as necessary. % % It is possible to adapt texinfo.tex for other languages, to some % extent. You can get the existing language-specific files from the % full Texinfo distribution. % % The GNU Texinfo home page is https://www.gnu.org/software/texinfo. \message{Loading texinfo [version \texinfoversion]:} % If in a .fmt file, print the version number % and turn on active characters that we couldn't do earlier because % they might have appeared in the input file name. \everyjob{\message{[Texinfo version \texinfoversion]}% \catcode`+=\active \catcode`\_=\active} % LaTeX's \typeout. This ensures that the messages it is used for % are identical in format to the corresponding ones from latex/pdflatex. \def\typeout{\immediate\write17}% \chardef\other=12 % We never want plain's \outer definition of \+ in Texinfo. % For @tex, we can use \tabalign. \let\+ = \relax % Save some plain tex macros whose names we will redefine. \let\ptexb=\b \let\ptexbullet=\bullet \let\ptexc=\c \let\ptexcomma=\, \let\ptexdot=\. \let\ptexdots=\dots \let\ptexend=\end \let\ptexequiv=\equiv \let\ptexexclam=\! \let\ptexfootnote=\footnote \let\ptexgtr=> \let\ptexhat=^ \let\ptexi=\i \let\ptexindent=\indent \let\ptexinsert=\insert \let\ptexlbrace=\{ \let\ptexless=< \let\ptexnewwrite\newwrite \let\ptexnoindent=\noindent \let\ptexplus=+ \let\ptexraggedright=\raggedright \let\ptexrbrace=\} \let\ptexslash=\/ \let\ptexsp=\sp \let\ptexstar=\* \let\ptexsup=\sup \let\ptext=\t \let\ptextop=\top {\catcode`\'=\active \global\let\ptexquoteright'}% active in plain's math mode % If this character appears in an error message or help string, it % starts a new line in the output. \newlinechar = `^^J % Use TeX 3.0's \inputlineno to get the line number, for better error % messages, but if we're using an old version of TeX, don't do anything. % \ifx\inputlineno\thisisundefined \let\linenumber = \empty % Pre-3.0. \else \def\linenumber{l.\the\inputlineno:\space} \fi % Set up fixed words for English if not already set. \ifx\putwordAppendix\undefined \gdef\putwordAppendix{Appendix}\fi \ifx\putwordChapter\undefined \gdef\putwordChapter{Chapter}\fi \ifx\putworderror\undefined \gdef\putworderror{error}\fi \ifx\putwordfile\undefined \gdef\putwordfile{file}\fi \ifx\putwordin\undefined \gdef\putwordin{in}\fi \ifx\putwordIndexIsEmpty\undefined \gdef\putwordIndexIsEmpty{(Index is empty)}\fi \ifx\putwordIndexNonexistent\undefined \gdef\putwordIndexNonexistent{(Index is nonexistent)}\fi \ifx\putwordInfo\undefined \gdef\putwordInfo{Info}\fi \ifx\putwordInstanceVariableof\undefined \gdef\putwordInstanceVariableof{Instance Variable of}\fi \ifx\putwordMethodon\undefined \gdef\putwordMethodon{Method on}\fi \ifx\putwordNoTitle\undefined \gdef\putwordNoTitle{No Title}\fi \ifx\putwordof\undefined \gdef\putwordof{of}\fi \ifx\putwordon\undefined \gdef\putwordon{on}\fi \ifx\putwordpage\undefined \gdef\putwordpage{page}\fi \ifx\putwordsection\undefined \gdef\putwordsection{section}\fi \ifx\putwordSection\undefined \gdef\putwordSection{Section}\fi \ifx\putwordsee\undefined \gdef\putwordsee{see}\fi \ifx\putwordSee\undefined \gdef\putwordSee{See}\fi \ifx\putwordShortTOC\undefined \gdef\putwordShortTOC{Short Contents}\fi \ifx\putwordTOC\undefined \gdef\putwordTOC{Table of Contents}\fi % \ifx\putwordMJan\undefined \gdef\putwordMJan{January}\fi \ifx\putwordMFeb\undefined \gdef\putwordMFeb{February}\fi \ifx\putwordMMar\undefined \gdef\putwordMMar{March}\fi \ifx\putwordMApr\undefined \gdef\putwordMApr{April}\fi \ifx\putwordMMay\undefined \gdef\putwordMMay{May}\fi \ifx\putwordMJun\undefined \gdef\putwordMJun{June}\fi \ifx\putwordMJul\undefined \gdef\putwordMJul{July}\fi \ifx\putwordMAug\undefined \gdef\putwordMAug{August}\fi \ifx\putwordMSep\undefined \gdef\putwordMSep{September}\fi \ifx\putwordMOct\undefined \gdef\putwordMOct{October}\fi \ifx\putwordMNov\undefined \gdef\putwordMNov{November}\fi \ifx\putwordMDec\undefined \gdef\putwordMDec{December}\fi % \ifx\putwordDefmac\undefined \gdef\putwordDefmac{Macro}\fi \ifx\putwordDefspec\undefined \gdef\putwordDefspec{Special Form}\fi \ifx\putwordDefvar\undefined \gdef\putwordDefvar{Variable}\fi \ifx\putwordDefopt\undefined \gdef\putwordDefopt{User Option}\fi \ifx\putwordDeffunc\undefined \gdef\putwordDeffunc{Function}\fi % Give the space character the catcode for a space. \def\spaceisspace{\catcode`\ =10\relax} % Likewise for ^^M, the end of line character. \def\endlineisspace{\catcode13=10\relax} \chardef\dashChar = `\- \chardef\slashChar = `\/ \chardef\underChar = `\_ % Ignore a token. % \def\gobble#1{} % The following is used inside several \edef's. \def\makecsname#1{\expandafter\noexpand\csname#1\endcsname} % Hyphenation fixes. \hyphenation{ Flor-i-da Ghost-script Ghost-view Mac-OS Post-Script ap-pen-dix bit-map bit-maps data-base data-bases eshell fall-ing half-way long-est man-u-script man-u-scripts mini-buf-fer mini-buf-fers over-view par-a-digm par-a-digms rath-er rec-tan-gu-lar ro-bot-ics se-vere-ly set-up spa-ces spell-ing spell-ings stand-alone strong-est time-stamp time-stamps which-ever white-space wide-spread wrap-around } % Sometimes it is convenient to have everything in the transcript file % and nothing on the terminal. We don't just call \tracingall here, % since that produces some useless output on the terminal. We also make % some effort to order the tracing commands to reduce output in the log % file; cf. trace.sty in LaTeX. % \def\gloggingall{\begingroup \globaldefs = 1 \loggingall \endgroup}% \def\loggingall{% \tracingstats2 \tracingpages1 \tracinglostchars2 % 2 gives us more in etex \tracingparagraphs1 \tracingoutput1 \tracingmacros2 \tracingrestores1 \showboxbreadth\maxdimen \showboxdepth\maxdimen \ifx\eTeXversion\thisisundefined\else % etex gives us more logging \tracingscantokens1 \tracingifs1 \tracinggroups1 \tracingnesting2 \tracingassigns1 \fi \tracingcommands3 % 3 gives us more in etex \errorcontextlines16 }% % @errormsg{MSG}. Do the index-like expansions on MSG, but if things % aren't perfect, it's not the end of the world, being an error message, % after all. % \def\errormsg{\begingroup \indexnofonts \doerrormsg} \def\doerrormsg#1{\errmessage{#1}} % add check for \lastpenalty to plain's definitions. If the last thing % we did was a \nobreak, we don't want to insert more space. % \def\smallbreak{\ifnum\lastpenalty<10000\par\ifdim\lastskip<\smallskipamount \removelastskip\penalty-50\smallskip\fi\fi} \def\medbreak{\ifnum\lastpenalty<10000\par\ifdim\lastskip<\medskipamount \removelastskip\penalty-100\medskip\fi\fi} \def\bigbreak{\ifnum\lastpenalty<10000\par\ifdim\lastskip<\bigskipamount \removelastskip\penalty-200\bigskip\fi\fi} % Output routine % % For a final copy, take out the rectangles % that mark overfull boxes (in case you have decided % that the text looks ok even though it passes the margin). % \def\finalout{\overfullrule=0pt } \newdimen\outerhsize \newdimen\outervsize % set by the paper size routines \newdimen\topandbottommargin \topandbottommargin=.75in % Output a mark which sets \thischapter, \thissection and \thiscolor. % We dump everything together because we only have one kind of mark. % This works because we only use \botmark / \topmark, not \firstmark. % % A mark contains a subexpression of the \ifcase ... \fi construct. % \get*marks macros below extract the needed part using \ifcase. % % Another complication is to let the user choose whether \thischapter % (\thissection) refers to the chapter (section) in effect at the top % of a page, or that at the bottom of a page. % \domark is called twice inside \chapmacro, to add one % mark before the section break, and one after. % In the second call \prevchapterdefs is the same as \currentchapterdefs, % and \prevsectiondefs is the same as \currentsectiondefs. % Then if the page is not broken at the mark, some of the previous % section appears on the page, and we can get the name of this section % from \firstmark for @everyheadingmarks top. % @everyheadingmarks bottom uses \botmark. % % See page 260 of The TeXbook. \def\domark{% \toks0=\expandafter{\currentchapterdefs}% \toks2=\expandafter{\currentsectiondefs}% \toks4=\expandafter{\prevchapterdefs}% \toks6=\expandafter{\prevsectiondefs}% \toks8=\expandafter{\currentcolordefs}% \mark{% \the\toks0 \the\toks2 % 0: marks for @everyheadingmarks top \noexpand\or \the\toks4 \the\toks6 % 1: for @everyheadingmarks bottom \noexpand\else \the\toks8 % 2: color marks }% } % \gettopheadingmarks, \getbottomheadingmarks, % \getcolormarks - extract needed part of mark. % % \topmark doesn't work for the very first chapter (after the title % page or the contents), so we use \firstmark there -- this gets us % the mark with the chapter defs, unless the user sneaks in, e.g., % @setcolor (or @url, or @link, etc.) between @contents and the very % first @chapter. \def\gettopheadingmarks{% \ifcase0\the\savedtopmark\fi \ifx\thischapter\empty \ifcase0\firstmark\fi \fi } \def\getbottomheadingmarks{\ifcase1\botmark\fi} \def\getcolormarks{\ifcase2\the\savedtopmark\fi} % Avoid "undefined control sequence" errors. \def\currentchapterdefs{} \def\currentsectiondefs{} \def\currentsection{} \def\prevchapterdefs{} \def\prevsectiondefs{} \def\currentcolordefs{} % Margin to add to right of even pages, to left of odd pages. \newdimen\bindingoffset \newdimen\normaloffset \newdimen\txipagewidth \newdimen\txipageheight % Main output routine. % \chardef\PAGE = 255 \newtoks\defaultoutput \defaultoutput = {\savetopmark\onepageout{\pagecontents\PAGE}} \output=\expandafter{\the\defaultoutput} \newbox\headlinebox \newbox\footlinebox % When outputting the double column layout for indices, an output routine % is run several times, which hides the original value of \topmark. This % can lead to a page heading being output and duplicating the chapter heading % of the index. Hence, save the contents of \topmark at the beginning of % the output routine. The saved contents are valid until we actually % \shipout a page. % % (We used to run a short output routine to actually set \topmark and % \firstmark to the right values, but if this was called with an empty page % containing whatsits for writing index entries, the whatsits would be thrown % away and the index auxiliary file would remain empty.) % \newtoks\savedtopmark \newif\iftopmarksaved \topmarksavedtrue \def\savetopmark{% \iftopmarksaved\else \global\savedtopmark=\expandafter{\topmark}% \global\topmarksavedtrue \fi } % \onepageout takes a vbox as an argument. % \shipout a vbox for a single page, adding an optional header, footer % and footnote. This also causes index entries for this page to be written % to the auxiliary files. % \def\onepageout#1{% \hoffset=\normaloffset % \ifodd\pageno \advance\hoffset by \bindingoffset \else \advance\hoffset by -\bindingoffset\fi % \checkchapterpage % % Retrieve the information for the headings from the marks in the page, % and call Plain TeX's \makeheadline and \makefootline, which use the % values in \headline and \footline. % % Common context changes for both heading and footing. % Do this outside of the \shipout so @code etc. will be expanded in % the headline as they should be, not taken literally (outputting ''code). \def\commonheadfootline{\let\hsize=\txipagewidth \texinfochars} % \ifodd\pageno \getoddheadingmarks \else \getevenheadingmarks \fi \global\setbox\headlinebox = \vbox{\commonheadfootline \makeheadline}% \ifodd\pageno \getoddfootingmarks \else \getevenfootingmarks \fi \global\setbox\footlinebox = \vbox{\commonheadfootline \makefootline}% % {% % Set context for writing to auxiliary files like index files. % Have to do this stuff outside the \shipout because we want it to % take effect in \write's, yet the group defined by the \vbox ends % before the \shipout runs. % \atdummies % don't expand commands in the output. \turnoffactive \shipout\vbox{% % Do this early so pdf references go to the beginning of the page. \ifpdfmakepagedest \pdfdest name{\the\pageno} xyz\fi % \unvbox\headlinebox \pagebody{#1}% \ifdim\ht\footlinebox > 0pt % Only leave this space if the footline is nonempty. % (We lessened \vsize for it in \oddfootingyyy.) % The \baselineskip=24pt in plain's \makefootline has no effect. \vskip 24pt \unvbox\footlinebox \fi % }% }% \global\topmarksavedfalse \advancepageno \ifnum\outputpenalty>-20000 \else\dosupereject\fi } \newinsert\margin \dimen\margin=\maxdimen % Main part of page, including any footnotes \def\pagebody#1{\vbox to\txipageheight{\boxmaxdepth=\maxdepth #1}} {\catcode`\@ =11 \gdef\pagecontents#1{\ifvoid\topins\else\unvbox\topins\fi % marginal hacks, juha@viisa.uucp (Juha Takala) \ifvoid\margin\else % marginal info is present \rlap{\kern\hsize\vbox to\z@{\kern1pt\box\margin \vss}}\fi \dimen@=\dp#1\relax \unvbox#1\relax \ifvoid\footins\else\vskip\skip\footins\footnoterule \unvbox\footins\fi \ifr@ggedbottom \kern-\dimen@ \vfil \fi} } % Check if we are on the first page of a chapter. Used for printing headings. \newif\ifchapterpage \def\checkchapterpage{% % Get the chapter that was current at the end of the last page \ifcase1\the\savedtopmark\fi \let\prevchaptername\thischaptername % \ifodd\pageno \getoddheadingmarks \else \getevenheadingmarks \fi \let\curchaptername\thischaptername % \ifx\curchaptername\prevchaptername \chapterpagefalse \else \chapterpagetrue \fi } % Argument parsing % Parse an argument, then pass it to #1. The argument is the rest of % the input line (except we remove a trailing comment). #1 should be a % macro which expects an ordinary undelimited TeX argument. % For example, \def\foo{\parsearg\fooxxx}. % \def\parsearg{\parseargusing{}} \def\parseargusing#1#2{% \def\argtorun{#2}% \begingroup \obeylines \spaceisspace #1% \parseargline\empty% Insert the \empty token, see \finishparsearg below. } {\obeylines % \gdef\parseargline#1^^M{% \endgroup % End of the group started in \parsearg. \argremovecomment #1\comment\ArgTerm% }% } % First remove any @comment, then any @c comment. Pass the result on to % \argcheckspaces. \def\argremovecomment#1\comment#2\ArgTerm{\argremovec #1\c\ArgTerm} \def\argremovec#1\c#2\ArgTerm{\argcheckspaces#1\^^M\ArgTerm} % Each occurrence of `\^^M' or `\^^M' is replaced by a single space. % % \argremovec might leave us with trailing space, e.g., % @end itemize @c foo % This space token undergoes the same procedure and is eventually removed % by \finishparsearg. % \def\argcheckspaces#1\^^M{\argcheckspacesX#1\^^M \^^M} \def\argcheckspacesX#1 \^^M{\argcheckspacesY#1\^^M} \def\argcheckspacesY#1\^^M#2\^^M#3\ArgTerm{% \def\temp{#3}% \ifx\temp\empty % Do not use \next, perhaps the caller of \parsearg uses it; reuse \temp: \let\temp\finishparsearg \else \let\temp\argcheckspaces \fi % Put the space token in: \temp#1 #3\ArgTerm } % If a _delimited_ argument is enclosed in braces, they get stripped; so % to get _exactly_ the rest of the line, we had to prevent such situation. % We prepended an \empty token at the very beginning and we expand it now, % just before passing the control to \argtorun. % (Similarly, we have to think about #3 of \argcheckspacesY above: it is % either the null string, or it ends with \^^M---thus there is no danger % that a pair of braces would be stripped. % % But first, we have to remove the trailing space token. % \def\finishparsearg#1 \ArgTerm{\expandafter\argtorun\expandafter{#1}} % \parseargdef - define a command taking an argument on the line % % \parseargdef\foo{...} % is roughly equivalent to % \def\foo{\parsearg\Xfoo} % \def\Xfoo#1{...} \def\parseargdef#1{% \expandafter \doparseargdef \csname\string#1\endcsname #1% } \def\doparseargdef#1#2{% \def#2{\parsearg#1}% \def#1##1% } % Several utility definitions with active space: { \obeyspaces \gdef\obeyedspace{ } % Make each space character in the input produce a normal interword % space in the output. Don't allow a line break at this space, as this % is used only in environments like @example, where each line of input % should produce a line of output anyway. % \gdef\sepspaces{\obeyspaces\let =\tie} % If an index command is used in an @example environment, any spaces % therein should become regular spaces in the raw index file, not the % expansion of \tie (\leavevmode \penalty \@M \ ). \gdef\unsepspaces{\let =\space} } \def\flushcr{\ifx\par\lisppar \def\next##1{}\else \let\next=\relax \fi \next} % Define the framework for environments in texinfo.tex. It's used like this: % % \envdef\foo{...} % \def\Efoo{...} % % It's the responsibility of \envdef to insert \begingroup before the % actual body; @end closes the group after calling \Efoo. \envdef also % defines \thisenv, so the current environment is known; @end checks % whether the environment name matches. The \checkenv macro can also be % used to check whether the current environment is the one expected. % % Non-false conditionals (@iftex, @ifset) don't fit into this, so they % are not treated as environments; they don't open a group. (The % implementation of @end takes care not to call \endgroup in this % special case.) % At run-time, environments start with this: \def\startenvironment#1{\begingroup\def\thisenv{#1}} % initialize \let\thisenv\empty % ... but they get defined via ``\envdef\foo{...}'': \long\def\envdef#1#2{\def#1{\startenvironment#1#2}} \def\envparseargdef#1#2{\parseargdef#1{\startenvironment#1#2}} % Check whether we're in the right environment: \def\checkenv#1{% \def\temp{#1}% \ifx\thisenv\temp \else \badenverr \fi } % Environment mismatch, #1 expected: \def\badenverr{% \errhelp = \EMsimple \errmessage{This command can appear only \inenvironment\temp, not \inenvironment\thisenv}% } \def\inenvironment#1{% \ifx#1\empty outside of any environment% \else in environment \expandafter\string#1% \fi } % @end foo calls \checkenv and executes the definition of \Efoo. \parseargdef\end{% \if 1\csname iscond.#1\endcsname \else % The general wording of \badenverr may not be ideal. \expandafter\checkenv\csname#1\endcsname \csname E#1\endcsname \endgroup \fi } \newhelp\EMsimple{Press RETURN to continue.} % Be sure we're in horizontal mode when doing a tie, since we make space % equivalent to this in @example-like environments. Otherwise, a space % at the beginning of a line will start with \penalty -- and % since \penalty is valid in vertical mode, we'd end up putting the % penalty on the vertical list instead of in the new paragraph. {\catcode`@ = 11 % Avoid using \@M directly, because that causes trouble % if the definition is written into an index file. \global\let\tiepenalty = \@M \gdef\tie{\leavevmode\penalty\tiepenalty\ } } % @: forces normal size whitespace following. \def\:{\spacefactor=1000 } % @* forces a line break. \def\*{\unskip\hfil\break\hbox{}\ignorespaces} % @/ allows a line break. \let\/=\allowbreak % @. is an end-of-sentence period. \def\.{.\spacefactor=\endofsentencespacefactor\space} % @! is an end-of-sentence bang. \def\!{!\spacefactor=\endofsentencespacefactor\space} % @? is an end-of-sentence query. \def\?{?\spacefactor=\endofsentencespacefactor\space} % @frenchspacing on|off says whether to put extra space after punctuation. % \def\onword{on} \def\offword{off} % \parseargdef\frenchspacing{% \def\temp{#1}% \ifx\temp\onword \plainfrenchspacing \else\ifx\temp\offword \plainnonfrenchspacing \else \errhelp = \EMsimple \errmessage{Unknown @frenchspacing option `\temp', must be on|off}% \fi\fi } % @w prevents a word break. Without the \leavevmode, @w at the % beginning of a paragraph, when TeX is still in vertical mode, would % produce a whole line of output instead of starting the paragraph. \def\w#1{\leavevmode\hbox{#1}} % @group ... @end group forces ... to be all on one page, by enclosing % it in a TeX vbox. We use \vtop instead of \vbox to construct the box % to keep its height that of a normal line. According to the rules for % \topskip (p.114 of the TeXbook), the glue inserted is % max (\topskip - \ht (first item), 0). If that height is large, % therefore, no glue is inserted, and the space between the headline and % the text is small, which looks bad. % % Another complication is that the group might be very large. This can % cause the glue on the previous page to be unduly stretched, because it % does not have much material. In this case, it's better to add an % explicit \vfill so that the extra space is at the bottom. The % threshold for doing this is if the group is more than \vfilllimit % percent of a page (\vfilllimit can be changed inside of @tex). % \newbox\groupbox \def\vfilllimit{0.7} % \envdef\group{% \ifnum\catcode`\^^M=\active \else \errhelp = \groupinvalidhelp \errmessage{@group invalid in context where filling is enabled}% \fi \startsavinginserts % \setbox\groupbox = \vtop\bgroup % Do @comment since we are called inside an environment such as % @example, where each end-of-line in the input causes an % end-of-line in the output. We don't want the end-of-line after % the `@group' to put extra space in the output. Since @group % should appear on a line by itself (according to the Texinfo % manual), we don't worry about eating any user text. \comment } % % The \vtop produces a box with normal height and large depth; thus, TeX puts % \baselineskip glue before it, and (when the next line of text is done) % \lineskip glue after it. Thus, space below is not quite equal to space % above. But it's pretty close. \def\Egroup{% % To get correct interline space between the last line of the group % and the first line afterwards, we have to propagate \prevdepth. \endgraf % Not \par, as it may have been set to \lisppar. \global\dimen1 = \prevdepth \egroup % End the \vtop. \addgroupbox \prevdepth = \dimen1 \checkinserts } \def\addgroupbox{ % \dimen0 is the vertical size of the group's box. \dimen0 = \ht\groupbox \advance\dimen0 by \dp\groupbox % \dimen2 is how much space is left on the page (more or less). \dimen2 = \txipageheight \advance\dimen2 by -\pagetotal % if the group doesn't fit on the current page, and it's a big big % group, force a page break. \ifdim \dimen0 > \dimen2 \ifdim \pagetotal < \vfilllimit\txipageheight \page \fi \fi \box\groupbox } % % TeX puts in an \escapechar (i.e., `@') at the beginning of the help % message, so this ends up printing `@group can only ...'. % \newhelp\groupinvalidhelp{% group can only be used in environments such as @example,^^J% where each line of input produces a line of output.} % @need space-in-mils % forces a page break if there is not space-in-mils remaining. \newdimen\mil \mil=0.001in \parseargdef\need{% % Ensure vertical mode, so we don't make a big box in the middle of a % paragraph. \par % % If the @need value is less than one line space, it's useless. \dimen0 = #1\mil \dimen2 = \ht\strutbox \advance\dimen2 by \dp\strutbox \ifdim\dimen0 > \dimen2 % % Do a \strut just to make the height of this box be normal, so the % normal leading is inserted relative to the preceding line. % And a page break here is fine. \vtop to #1\mil{\strut\vfil}% % % TeX does not even consider page breaks if a penalty added to the % main vertical list is 10000 or more. But in order to see if the % empty box we just added fits on the page, we must make it consider % page breaks. On the other hand, we don't want to actually break the % page after the empty box. So we use a penalty of 9999. % % There is an extremely small chance that TeX will actually break the % page at this \penalty, if there are no other feasible breakpoints in % sight. (If the user is using lots of big @group commands, which % almost-but-not-quite fill up a page, TeX will have a hard time doing % good page breaking, for example.) However, I could not construct an % example where a page broke at this \penalty; if it happens in a real % document, then we can reconsider our strategy. \penalty9999 % % Back up by the size of the box, whether we did a page break or not. \kern -#1\mil % % Do not allow a page break right after this kern. \nobreak \fi } % @br forces paragraph break (and is undocumented). \let\br = \par % @page forces the start of a new page. % \def\page{\par\vfill\supereject} % @exdent text.... % outputs text on separate line in roman font, starting at standard page margin % This records the amount of indent in the innermost environment. % That's how much \exdent should take out. \newskip\exdentamount % This defn is used inside fill environments such as @defun. \parseargdef\exdent{\hfil\break\hbox{\kern -\exdentamount{\rm#1}}\hfil\break} % This defn is used inside nofill environments such as @example. \parseargdef\nofillexdent{{\advance \leftskip by -\exdentamount \leftline{\hskip\leftskip{\rm#1}}}} % @inmargin{WHICH}{TEXT} puts TEXT in the WHICH margin next to the current % paragraph. For more general purposes, use the \margin insertion % class. WHICH is `l' or `r'. Not documented, written for gawk manual. % \newskip\inmarginspacing \inmarginspacing=1cm \def\strutdepth{\dp\strutbox} % \def\doinmargin#1#2{\strut\vadjust{% \nobreak \kern-\strutdepth \vtop to \strutdepth{% \baselineskip=\strutdepth \vss % if you have multiple lines of stuff to put here, you'll need to % make the vbox yourself of the appropriate size. \ifx#1l% \llap{\ignorespaces #2\hskip\inmarginspacing}% \else \rlap{\hskip\hsize \hskip\inmarginspacing \ignorespaces #2}% \fi \null }% }} \def\inleftmargin{\doinmargin l} \def\inrightmargin{\doinmargin r} % % @inmargin{TEXT [, RIGHT-TEXT]} % (if RIGHT-TEXT is given, use TEXT for left page, RIGHT-TEXT for right; % else use TEXT for both). % \def\inmargin#1{\parseinmargin #1,,\finish} \def\parseinmargin#1,#2,#3\finish{% not perfect, but better than nothing. \setbox0 = \hbox{\ignorespaces #2}% \ifdim\wd0 > 0pt \def\lefttext{#1}% have both texts \def\righttext{#2}% \else \def\lefttext{#1}% have only one text \def\righttext{#1}% \fi % \ifodd\pageno \def\temp{\inrightmargin\righttext}% odd page -> outside is right margin \else \def\temp{\inleftmargin\lefttext}% \fi \temp } % @include FILE -- \input text of FILE. % \def\include{\parseargusing\filenamecatcodes\includezzz} \def\includezzz#1{% \pushthisfilestack \def\thisfile{#1}% {% \makevalueexpandable % we want to expand any @value in FILE. \turnoffactive % and allow special characters in the expansion \indexnofonts % Allow `@@' and other weird things in file names. \wlog{texinfo.tex: doing @include of #1^^J}% \edef\temp{\noexpand\input #1 }% % % This trickery is to read FILE outside of a group, in case it makes % definitions, etc. \expandafter }\temp \popthisfilestack } \def\filenamecatcodes{% \catcode`\\=\other \catcode`~=\other \catcode`^=\other \catcode`_=\other \catcode`|=\other \catcode`<=\other \catcode`>=\other \catcode`+=\other \catcode`-=\other \catcode`\`=\other \catcode`\'=\other } \def\pushthisfilestack{% \expandafter\pushthisfilestackX\popthisfilestack\StackTerm } \def\pushthisfilestackX{% \expandafter\pushthisfilestackY\thisfile\StackTerm } \def\pushthisfilestackY #1\StackTerm #2\StackTerm {% \gdef\popthisfilestack{\gdef\thisfile{#1}\gdef\popthisfilestack{#2}}% } \def\popthisfilestack{\errthisfilestackempty} \def\errthisfilestackempty{\errmessage{Internal error: the stack of filenames is empty.}} % \def\thisfile{} % @center line % outputs that line, centered. % \parseargdef\center{% \ifhmode \let\centersub\centerH \else \let\centersub\centerV \fi \centersub{\hfil \ignorespaces#1\unskip \hfil}% \let\centersub\relax % don't let the definition persist, just in case } \def\centerH#1{{% \hfil\break \advance\hsize by -\leftskip \advance\hsize by -\rightskip \line{#1}% \break }} % \newcount\centerpenalty \def\centerV#1{% % The idea here is the same as in \startdefun, \cartouche, etc.: if % @center is the first thing after a section heading, we need to wipe % out the negative parskip inserted by \sectionheading, but still % prevent a page break here. \centerpenalty = \lastpenalty \ifnum\centerpenalty>10000 \vskip\parskip \fi \ifnum\centerpenalty>9999 \penalty\centerpenalty \fi \line{\kern\leftskip #1\kern\rightskip}% } % @sp n outputs n lines of vertical space % \parseargdef\sp{\vskip #1\baselineskip} % @comment ...line which is ignored... % @c is the same as @comment % @ignore ... @end ignore is another way to write a comment \def\c{\begingroup \catcode`\^^M=\active% \catcode`\@=\other \catcode`\{=\other \catcode`\}=\other% \cxxx} {\catcode`\^^M=\active \gdef\cxxx#1^^M{\endgroup}} % \let\comment\c % @paragraphindent NCHARS % We'll use ems for NCHARS, close enough. % NCHARS can also be the word `asis' or `none'. % We cannot feasibly implement @paragraphindent asis, though. % \def\asisword{asis} % no translation, these are keywords \def\noneword{none} % \parseargdef\paragraphindent{% \def\temp{#1}% \ifx\temp\asisword \else \ifx\temp\noneword \defaultparindent = 0pt \else \defaultparindent = #1em \fi \fi \parindent = \defaultparindent } % @exampleindent NCHARS % We'll use ems for NCHARS like @paragraphindent. % It seems @exampleindent asis isn't necessary, but % I preserve it to make it similar to @paragraphindent. \parseargdef\exampleindent{% \def\temp{#1}% \ifx\temp\asisword \else \ifx\temp\noneword \lispnarrowing = 0pt \else \lispnarrowing = #1em \fi \fi } % @firstparagraphindent WORD % If WORD is `none', then suppress indentation of the first paragraph % after a section heading. If WORD is `insert', then do indent at such % paragraphs. % % The paragraph indentation is suppressed or not by calling % \suppressfirstparagraphindent, which the sectioning commands do. % We switch the definition of this back and forth according to WORD. % By default, we suppress indentation. % \def\suppressfirstparagraphindent{\dosuppressfirstparagraphindent} \def\insertword{insert} % \parseargdef\firstparagraphindent{% \def\temp{#1}% \ifx\temp\noneword \let\suppressfirstparagraphindent = \dosuppressfirstparagraphindent \else\ifx\temp\insertword \let\suppressfirstparagraphindent = \relax \else \errhelp = \EMsimple \errmessage{Unknown @firstparagraphindent option `\temp'}% \fi\fi } % Here is how we actually suppress indentation. Redefine \everypar to % \kern backwards by \parindent, and then reset itself to empty. % % We also make \indent itself not actually do anything until the next % paragraph. % \gdef\dosuppressfirstparagraphindent{% \gdef\indent {\restorefirstparagraphindent \indent}% \gdef\noindent{\restorefirstparagraphindent \noindent}% \global\everypar = {\kern -\parindent \restorefirstparagraphindent}% } % \gdef\restorefirstparagraphindent{% \global\let\indent = \ptexindent \global\let\noindent = \ptexnoindent \global\everypar = {}% } % leave vertical mode without cancelling any first paragraph indent \gdef\imageindent{% \toks0=\everypar \everypar={}% \ptexnoindent \global\everypar=\toks0 } % @refill is a no-op. \let\refill=\relax % @setfilename INFO-FILENAME - ignored \let\setfilename=\comment % @bye. \outer\def\bye{\chappager\pagelabels\tracingstats=1\ptexend} \message{pdf,} % adobe `portable' document format \newcount\tempnum \newcount\lnkcount \newtoks\filename \newcount\filenamelength \newcount\pgn \newtoks\toksA \newtoks\toksB \newtoks\toksC \newtoks\toksD \newbox\boxA \newbox\boxB \newcount\countA \newif\ifpdf \newif\ifpdfmakepagedest % % For LuaTeX % \newif\iftxiuseunicodedestname \txiuseunicodedestnamefalse % For pdfTeX etc. \ifx\luatexversion\thisisundefined \else % Use Unicode destination names \txiuseunicodedestnametrue % Escape PDF strings with converting UTF-16 from UTF-8 \begingroup \catcode`\%=12 \directlua{ function UTF16oct(str) tex.sprint(string.char(0x5c) .. '376' .. string.char(0x5c) .. '377') for c in string.utfvalues(str) do if c < 0x10000 then tex.sprint( string.format(string.char(0x5c) .. string.char(0x25) .. '03o' .. string.char(0x5c) .. string.char(0x25) .. '03o', math.floor(c / 256), math.floor(c % 256))) else c = c - 0x10000 local c_hi = c / 1024 + 0xd800 local c_lo = c % 1024 + 0xdc00 tex.sprint( string.format(string.char(0x5c) .. string.char(0x25) .. '03o' .. string.char(0x5c) .. string.char(0x25) .. '03o' .. string.char(0x5c) .. string.char(0x25) .. '03o' .. string.char(0x5c) .. string.char(0x25) .. '03o', math.floor(c_hi / 256), math.floor(c_hi % 256), math.floor(c_lo / 256), math.floor(c_lo % 256))) end end end } \endgroup \def\pdfescapestrutfsixteen#1{\directlua{UTF16oct('\luaescapestring{#1}')}} % Escape PDF strings without converting \begingroup \directlua{ function PDFescstr(str) for c in string.bytes(str) do if c <= 0x20 or c >= 0x80 or c == 0x28 or c == 0x29 or c == 0x5c then tex.sprint(-2, string.format(string.char(0x5c) .. string.char(0x25) .. '03o', c)) else tex.sprint(-2, string.char(c)) end end end } % The -2 in the arguments here gives all the input to TeX catcode 12 % (other) or 10 (space), preventing undefined control sequence errors. See % https://lists.gnu.org/archive/html/bug-texinfo/2019-08/msg00031.html % \endgroup \def\pdfescapestring#1{\directlua{PDFescstr('\luaescapestring{#1}')}} \ifnum\luatexversion>84 % For LuaTeX >= 0.85 \def\pdfdest{\pdfextension dest} \let\pdfoutput\outputmode \def\pdfliteral{\pdfextension literal} \def\pdfcatalog{\pdfextension catalog} \def\pdftexversion{\numexpr\pdffeedback version\relax} \let\pdfximage\saveimageresource \let\pdfrefximage\useimageresource \let\pdflastximage\lastsavedimageresourceindex \def\pdfendlink{\pdfextension endlink\relax} \def\pdfoutline{\pdfextension outline} \def\pdfstartlink{\pdfextension startlink} \def\pdffontattr{\pdfextension fontattr} \def\pdfobj{\pdfextension obj} \def\pdflastobj{\numexpr\pdffeedback lastobj\relax} \let\pdfpagewidth\pagewidth \let\pdfpageheight\pageheight \edef\pdfhorigin{\pdfvariable horigin} \edef\pdfvorigin{\pdfvariable vorigin} \fi \fi % when pdftex is run in dvi mode, \pdfoutput is defined (so \pdfoutput=1 % can be set). So we test for \relax and 0 as well as being undefined. \ifx\pdfoutput\thisisundefined \else \ifx\pdfoutput\relax \else \ifcase\pdfoutput \else \pdftrue \fi \fi \fi \newif\ifpdforxetex \pdforxetexfalse \ifpdf \pdforxetextrue \fi \ifx\XeTeXrevision\thisisundefined\else \pdforxetextrue \fi % Output page labels information. % See PDF reference v.1.7 p.594, section 8.3.1. \ifpdf \def\pagelabels{% \def\title{0 << /P (T-) /S /D >>}% \edef\roman{\the\romancount << /S /r >>}% \edef\arabic{\the\arabiccount << /S /D >>}% % % Page label ranges must be increasing. Remove any duplicates. % (There is a slight chance of this being wrong if e.g. there is % a @contents but no @titlepage, etc.) % \ifnum\romancount=0 \def\roman{}\fi \ifnum\arabiccount=0 \def\title{}% \else \ifnum\romancount=\arabiccount \def\roman{}\fi \fi % \ifnum\romancount<\arabiccount \pdfcatalog{/PageLabels << /Nums [\title \roman \arabic ] >> }\relax \else \pdfcatalog{/PageLabels << /Nums [\title \arabic \roman ] >> }\relax \fi } \else \let\pagelabels\relax \fi \newcount\pagecount \pagecount=0 \newcount\romancount \romancount=0 \newcount\arabiccount \arabiccount=0 \ifpdf \let\ptxadvancepageno\advancepageno \def\advancepageno{% \ptxadvancepageno\global\advance\pagecount by 1 } \fi % PDF uses PostScript string constants for the names of xref targets, % for display in the outlines, and in other places. Thus, we have to % double any backslashes. Otherwise, a name like "\node" will be % interpreted as a newline (\n), followed by o, d, e. Not good. % % See http://www.ntg.nl/pipermail/ntg-pdftex/2004-July/000654.html and % related messages. The final outcome is that it is up to the TeX user % to double the backslashes and otherwise make the string valid, so % that's what we do. pdftex 1.30.0 (ca.2005) introduced a primitive to % do this reliably, so we use it. % #1 is a control sequence in which to do the replacements, % which we \xdef. \def\txiescapepdf#1{% \ifx\pdfescapestring\thisisundefined % No primitive available; should we give a warning or log? % Many times it won't matter. \xdef#1{#1}% \else % The expandable \pdfescapestring primitive escapes parentheses, % backslashes, and other special chars. \xdef#1{\pdfescapestring{#1}}% \fi } \def\txiescapepdfutfsixteen#1{% \ifx\pdfescapestrutfsixteen\thisisundefined % No UTF-16 converting macro available. \txiescapepdf{#1}% \else \xdef#1{\pdfescapestrutfsixteen{#1}}% \fi } \newhelp\nopdfimagehelp{Texinfo supports .png, .jpg, .jpeg, and .pdf images with PDF output, and none of those formats could be found. (.eps cannot be supported due to the design of the PDF format; use regular TeX (DVI output) for that.)} \ifpdf % % Color manipulation macros using ideas from pdfcolor.tex, % except using rgb instead of cmyk; the latter is said to render as a % very dark gray on-screen and a very dark halftone in print, instead % of actual black. The dark red here is dark enough to print on paper as % nearly black, but still distinguishable for online viewing. We use % black by default, though. \def\rgbDarkRed{0.50 0.09 0.12} \def\rgbBlack{0 0 0} % % rg sets the color for filling (usual text, etc.); % RG sets the color for stroking (thin rules, e.g., normal _'s). \def\pdfsetcolor#1{\pdfliteral{#1 rg #1 RG}} % % Set color, and create a mark which defines \thiscolor accordingly, % so that \makeheadline knows which color to restore. \def\setcolor#1{% \xdef\currentcolordefs{\gdef\noexpand\thiscolor{#1}}% \domark \pdfsetcolor{#1}% } % \def\maincolor{\rgbBlack} \pdfsetcolor{\maincolor} \edef\thiscolor{\maincolor} \def\currentcolordefs{} % \def\makefootline{% \baselineskip24pt \line{\pdfsetcolor{\maincolor}\the\footline}% } % \def\makeheadline{% \vbox to 0pt{% \vskip-22.5pt \line{% \vbox to8.5pt{}% % Extract \thiscolor definition from the marks. \getcolormarks % Typeset the headline with \maincolor, then restore the color. \pdfsetcolor{\maincolor}\the\headline\pdfsetcolor{\thiscolor}% }% \vss }% \nointerlineskip } % % \pdfcatalog{/PageMode /UseOutlines} % % #1 is image name, #2 width (might be empty/whitespace), #3 height (ditto). \def\dopdfimage#1#2#3{% \def\pdfimagewidth{#2}\setbox0 = \hbox{\ignorespaces #2}% \def\pdfimageheight{#3}\setbox2 = \hbox{\ignorespaces #3}% % % pdftex (and the PDF format) support .pdf, .png, .jpg (among % others). Let's try in that order, PDF first since if % someone has a scalable image, presumably better to use that than a % bitmap. \let\pdfimgext=\empty \begingroup \openin 1 #1.pdf \ifeof 1 \openin 1 #1.PDF \ifeof 1 \openin 1 #1.png \ifeof 1 \openin 1 #1.jpg \ifeof 1 \openin 1 #1.jpeg \ifeof 1 \openin 1 #1.JPG \ifeof 1 \errhelp = \nopdfimagehelp \errmessage{Could not find image file #1 for pdf}% \else \gdef\pdfimgext{JPG}% \fi \else \gdef\pdfimgext{jpeg}% \fi \else \gdef\pdfimgext{jpg}% \fi \else \gdef\pdfimgext{png}% \fi \else \gdef\pdfimgext{PDF}% \fi \else \gdef\pdfimgext{pdf}% \fi \closein 1 \endgroup % % without \immediate, ancient pdftex seg faults when the same image is % included twice. (Version 3.14159-pre-1.0-unofficial-20010704.) \ifnum\pdftexversion < 14 \immediate\pdfimage \else \immediate\pdfximage \fi \ifdim \wd0 >0pt width \pdfimagewidth \fi \ifdim \wd2 >0pt height \pdfimageheight \fi \ifnum\pdftexversion<13 #1.\pdfimgext \else {#1.\pdfimgext}% \fi \ifnum\pdftexversion < 14 \else \pdfrefximage \pdflastximage \fi} % \def\setpdfdestname#1{{% % We have to set dummies so commands such as @code, and characters % such as \, aren't expanded when present in a section title. \indexnofonts \makevalueexpandable \turnoffactive \iftxiuseunicodedestname \ifx \declaredencoding \latone % Pass through Latin-1 characters. % LuaTeX with byte wise I/O converts Latin-1 characters to Unicode. \else \ifx \declaredencoding \utfeight % Pass through Unicode characters. \else % Use ASCII approximations in destination names. \passthroughcharsfalse \fi \fi \else % Use ASCII approximations in destination names. \passthroughcharsfalse \fi \def\pdfdestname{#1}% \txiescapepdf\pdfdestname }} % \def\setpdfoutlinetext#1{{% \indexnofonts \makevalueexpandable \turnoffactive \ifx \declaredencoding \latone % The PDF format can use an extended form of Latin-1 in bookmark % strings. See Appendix D of the PDF Reference, Sixth Edition, for % the "PDFDocEncoding". \passthroughcharstrue % Pass through Latin-1 characters. % LuaTeX: Convert to Unicode % pdfTeX: Use Latin-1 as PDFDocEncoding \def\pdfoutlinetext{#1}% \else \ifx \declaredencoding \utfeight \ifx\luatexversion\thisisundefined % For pdfTeX with UTF-8. % TODO: the PDF format can use UTF-16 in bookmark strings, % but the code for this isn't done yet. % Use ASCII approximations. \passthroughcharsfalse \def\pdfoutlinetext{#1}% \else % For LuaTeX with UTF-8. % Pass through Unicode characters for title texts. \passthroughcharstrue \def\pdfoutlinetext{#1}% \fi \else % For non-Latin-1 or non-UTF-8 encodings. % Use ASCII approximations. \passthroughcharsfalse \def\pdfoutlinetext{#1}% \fi \fi % LuaTeX: Convert to UTF-16 % pdfTeX: Use Latin-1 as PDFDocEncoding \txiescapepdfutfsixteen\pdfoutlinetext }} % \def\pdfmkdest#1{% \setpdfdestname{#1}% \safewhatsit{\pdfdest name{\pdfdestname} xyz}% } % % used to mark target names; must be expandable. \def\pdfmkpgn#1{#1} % % by default, use black for everything. \def\urlcolor{\rgbBlack} \def\linkcolor{\rgbBlack} \def\endlink{\setcolor{\maincolor}\pdfendlink} % % Adding outlines to PDF; macros for calculating structure of outlines % come from Petr Olsak \def\expnumber#1{\expandafter\ifx\csname#1\endcsname\relax 0% \else \csname#1\endcsname \fi} \def\advancenumber#1{\tempnum=\expnumber{#1}\relax \advance\tempnum by 1 \expandafter\xdef\csname#1\endcsname{\the\tempnum}} % % #1 is the section text, which is what will be displayed in the % outline by the pdf viewer. #2 is the pdf expression for the number % of subentries (or empty, for subsubsections). #3 is the node text, % which might be empty if this toc entry had no corresponding node. % #4 is the page number % \def\dopdfoutline#1#2#3#4{% % Generate a link to the node text if that exists; else, use the % page number. We could generate a destination for the section % text in the case where a section has no node, but it doesn't % seem worth the trouble, since most documents are normally structured. \setpdfoutlinetext{#1} \setpdfdestname{#3} \ifx\pdfdestname\empty \def\pdfdestname{#4}% \fi % \pdfoutline goto name{\pdfmkpgn{\pdfdestname}}#2{\pdfoutlinetext}% } % \def\pdfmakeoutlines{% \begingroup % Read toc silently, to get counts of subentries for \pdfoutline. \def\partentry##1##2##3##4{}% ignore parts in the outlines \def\numchapentry##1##2##3##4{% \def\thischapnum{##2}% \def\thissecnum{0}% \def\thissubsecnum{0}% }% \def\numsecentry##1##2##3##4{% \advancenumber{chap\thischapnum}% \def\thissecnum{##2}% \def\thissubsecnum{0}% }% \def\numsubsecentry##1##2##3##4{% \advancenumber{sec\thissecnum}% \def\thissubsecnum{##2}% }% \def\numsubsubsecentry##1##2##3##4{% \advancenumber{subsec\thissubsecnum}% }% \def\thischapnum{0}% \def\thissecnum{0}% \def\thissubsecnum{0}% % % use \def rather than \let here because we redefine \chapentry et % al. a second time, below. \def\appentry{\numchapentry}% \def\appsecentry{\numsecentry}% \def\appsubsecentry{\numsubsecentry}% \def\appsubsubsecentry{\numsubsubsecentry}% \def\unnchapentry{\numchapentry}% \def\unnsecentry{\numsecentry}% \def\unnsubsecentry{\numsubsecentry}% \def\unnsubsubsecentry{\numsubsubsecentry}% \readdatafile{toc}% % % Read toc second time, this time actually producing the outlines. % The `-' means take the \expnumber as the absolute number of % subentries, which we calculated on our first read of the .toc above. % % We use the node names as the destinations. % % Currently we prefix the section name with the section number % for chapter and appendix headings only in order to avoid too much % horizontal space being required in the PDF viewer. \def\numchapentry##1##2##3##4{% \dopdfoutline{##2 ##1}{count-\expnumber{chap##2}}{##3}{##4}}% \def\unnchapentry##1##2##3##4{% \dopdfoutline{##1}{count-\expnumber{chap##2}}{##3}{##4}}% \def\numsecentry##1##2##3##4{% \dopdfoutline{##1}{count-\expnumber{sec##2}}{##3}{##4}}% \def\numsubsecentry##1##2##3##4{% \dopdfoutline{##1}{count-\expnumber{subsec##2}}{##3}{##4}}% \def\numsubsubsecentry##1##2##3##4{% count is always zero \dopdfoutline{##1}{}{##3}{##4}}% % % PDF outlines are displayed using system fonts, instead of % document fonts. Therefore we cannot use special characters, % since the encoding is unknown. For example, the eogonek from % Latin 2 (0xea) gets translated to a | character. Info from % Staszek Wawrykiewicz, 19 Jan 2004 04:09:24 +0100. % % TODO this right, we have to translate 8-bit characters to % their "best" equivalent, based on the @documentencoding. Too % much work for too little return. Just use the ASCII equivalents % we use for the index sort strings. % \indexnofonts \setupdatafile % We can have normal brace characters in the PDF outlines, unlike % Texinfo index files. So set that up. \def\{{\lbracecharliteral}% \def\}{\rbracecharliteral}% \catcode`\\=\active \otherbackslash \input \tocreadfilename \endgroup } {\catcode`[=1 \catcode`]=2 \catcode`{=\other \catcode`}=\other \gdef\lbracecharliteral[{]% \gdef\rbracecharliteral[}]% ] % \def\skipspaces#1{\def\PP{#1}\def\D{|}% \ifx\PP\D\let\nextsp\relax \else\let\nextsp\skipspaces \addtokens{\filename}{\PP}% \advance\filenamelength by 1 \fi \nextsp} \def\getfilename#1{% \filenamelength=0 % If we don't expand the argument now, \skipspaces will get % snagged on things like "@value{foo}". \edef\temp{#1}% \expandafter\skipspaces\temp|\relax } \ifnum\pdftexversion < 14 \let \startlink \pdfannotlink \else \let \startlink \pdfstartlink \fi % make a live url in pdf output. \def\pdfurl#1{% \begingroup % it seems we really need yet another set of dummies; have not % tried to figure out what each command should do in the context % of @url. for now, just make @/ a no-op, that's the only one % people have actually reported a problem with. % \normalturnoffactive \def\@{@}% \let\/=\empty \makevalueexpandable % do we want to go so far as to use \indexnofonts instead of just % special-casing \var here? \def\var##1{##1}% % \leavevmode\setcolor{\urlcolor}% \startlink attr{/Border [0 0 0]}% user{/Subtype /Link /A << /S /URI /URI (#1) >>}% \endgroup} % \pdfgettoks - Surround page numbers in #1 with @pdflink. #1 may % be a simple number, or a list of numbers in the case of an index % entry. \def\pdfgettoks#1.{\setbox\boxA=\hbox{\toksA={#1.}\toksB={}\maketoks}} \def\addtokens#1#2{\edef\addtoks{\noexpand#1={\the#1#2}}\addtoks} \def\adn#1{\addtokens{\toksC}{#1}\global\countA=1\let\next=\maketoks} \def\poptoks#1#2|ENDTOKS|{\let\first=#1\toksD={#1}\toksA={#2}} \def\maketoks{% \expandafter\poptoks\the\toksA|ENDTOKS|\relax \ifx\first0\adn0 \else\ifx\first1\adn1 \else\ifx\first2\adn2 \else\ifx\first3\adn3 \else\ifx\first4\adn4 \else\ifx\first5\adn5 \else\ifx\first6\adn6 \else\ifx\first7\adn7 \else\ifx\first8\adn8 \else\ifx\first9\adn9 \else \ifnum0=\countA\else\makelink\fi \ifx\first.\let\next=\done\else \let\next=\maketoks \addtokens{\toksB}{\the\toksD} \ifx\first,\addtokens{\toksB}{\space}\fi \fi \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi \next} \def\makelink{\addtokens{\toksB}% {\noexpand\pdflink{\the\toksC}}\toksC={}\global\countA=0} \def\pdflink#1{% \startlink attr{/Border [0 0 0]} goto name{\pdfmkpgn{#1}} \setcolor{\linkcolor}#1\endlink} \def\done{\edef\st{\global\noexpand\toksA={\the\toksB}}\st} \else % non-pdf mode \let\pdfmkdest = \gobble \let\pdfurl = \gobble \let\endlink = \relax \let\setcolor = \gobble \let\pdfsetcolor = \gobble \let\pdfmakeoutlines = \relax \fi % \ifx\pdfoutput % % For XeTeX % \ifx\XeTeXrevision\thisisundefined \else % % XeTeX version check % \ifnum\strcmp{\the\XeTeXversion\XeTeXrevision}{0.99996}>-1 % TeX Live 2016 contains XeTeX 0.99996 and xdvipdfmx 20160307. % It can use the `dvipdfmx:config' special (from TeX Live SVN r40941). % For avoiding PDF destination name replacement, we use this special % instead of xdvipdfmx's command line option `-C 0x0010'. \special{dvipdfmx:config C 0x0010} % XeTeX 0.99995+ comes with xdvipdfmx 20160307+. % It can handle Unicode destination names for PDF. \txiuseunicodedestnametrue \else % XeTeX < 0.99996 (TeX Live < 2016) cannot use the % `dvipdfmx:config' special. % So for avoiding PDF destination name replacement, % xdvipdfmx's command line option `-C 0x0010' is necessary. % % XeTeX < 0.99995 can not handle Unicode destination names for PDF % because xdvipdfmx 20150315 has a UTF-16 conversion issue. % It is fixed by xdvipdfmx 20160106 (TeX Live SVN r39753). \txiuseunicodedestnamefalse \fi % % Color support % \def\rgbDarkRed{0.50 0.09 0.12} \def\rgbBlack{0 0 0} % \def\pdfsetcolor#1{\special{pdf:scolor [#1]}} % % Set color, and create a mark which defines \thiscolor accordingly, % so that \makeheadline knows which color to restore. \def\setcolor#1{% \xdef\currentcolordefs{\gdef\noexpand\thiscolor{#1}}% \domark \pdfsetcolor{#1}% } % \def\maincolor{\rgbBlack} \pdfsetcolor{\maincolor} \edef\thiscolor{\maincolor} \def\currentcolordefs{} % \def\makefootline{% \baselineskip24pt \line{\pdfsetcolor{\maincolor}\the\footline}% } % \def\makeheadline{% \vbox to 0pt{% \vskip-22.5pt \line{% \vbox to8.5pt{}% % Extract \thiscolor definition from the marks. \getcolormarks % Typeset the headline with \maincolor, then restore the color. \pdfsetcolor{\maincolor}\the\headline\pdfsetcolor{\thiscolor}% }% \vss }% \nointerlineskip } % % PDF outline support % % Emulate pdfTeX primitive \def\pdfdest name#1 xyz{% \special{pdf:dest (#1) [@thispage /XYZ @xpos @ypos null]}% } % \def\setpdfdestname#1{{% % We have to set dummies so commands such as @code, and characters % such as \, aren't expanded when present in a section title. \indexnofonts \makevalueexpandable \turnoffactive \iftxiuseunicodedestname % Pass through Unicode characters. \else % Use ASCII approximations in destination names. \passthroughcharsfalse \fi \def\pdfdestname{#1}% \txiescapepdf\pdfdestname }} % \def\setpdfoutlinetext#1{{% \turnoffactive % Always use Unicode characters in title texts. \def\pdfoutlinetext{#1}% % For XeTeX, xdvipdfmx converts to UTF-16. % So we do not convert. \txiescapepdf\pdfoutlinetext }} % \def\pdfmkdest#1{% \setpdfdestname{#1}% \safewhatsit{\pdfdest name{\pdfdestname} xyz}% } % % by default, use black for everything. \def\urlcolor{\rgbBlack} \def\linkcolor{\rgbBlack} \def\endlink{\setcolor{\maincolor}\pdfendlink} % \def\dopdfoutline#1#2#3#4{% \setpdfoutlinetext{#1} \setpdfdestname{#3} \ifx\pdfdestname\empty \def\pdfdestname{#4}% \fi % \special{pdf:out [-] #2 << /Title (\pdfoutlinetext) /A << /S /GoTo /D (\pdfdestname) >> >> }% } % \def\pdfmakeoutlines{% \begingroup % % For XeTeX, counts of subentries are not necessary. % Therefore, we read toc only once. % % We use node names as destinations. % % Currently we prefix the section name with the section number % for chapter and appendix headings only in order to avoid too much % horizontal space being required in the PDF viewer. \def\partentry##1##2##3##4{}% ignore parts in the outlines \def\numchapentry##1##2##3##4{% \dopdfoutline{##2 ##1}{1}{##3}{##4}}% \def\numsecentry##1##2##3##4{% \dopdfoutline{##1}{2}{##3}{##4}}% \def\numsubsecentry##1##2##3##4{% \dopdfoutline{##1}{3}{##3}{##4}}% \def\numsubsubsecentry##1##2##3##4{% \dopdfoutline{##1}{4}{##3}{##4}}% % \let\appentry\numchapentry% \let\appsecentry\numsecentry% \let\appsubsecentry\numsubsecentry% \let\appsubsubsecentry\numsubsubsecentry% \def\unnchapentry##1##2##3##4{% \dopdfoutline{##1}{1}{##3}{##4}}% \let\unnsecentry\numsecentry% \let\unnsubsecentry\numsubsecentry% \let\unnsubsubsecentry\numsubsubsecentry% % % For XeTeX, xdvipdfmx converts strings to UTF-16. % Therefore, the encoding and the language may not be considered. % \indexnofonts \setupdatafile % We can have normal brace characters in the PDF outlines, unlike % Texinfo index files. So set that up. \def\{{\lbracecharliteral}% \def\}{\rbracecharliteral}% \catcode`\\=\active \otherbackslash \input \tocreadfilename \endgroup } {\catcode`[=1 \catcode`]=2 \catcode`{=\other \catcode`}=\other \gdef\lbracecharliteral[{]% \gdef\rbracecharliteral[}]% ] \special{pdf:docview << /PageMode /UseOutlines >> } % ``\special{pdf:tounicode ...}'' is not necessary % because xdvipdfmx converts strings from UTF-8 to UTF-16 without it. % However, due to a UTF-16 conversion issue of xdvipdfmx 20150315, % ``\special{pdf:dest ...}'' cannot handle non-ASCII strings. % It is fixed by xdvipdfmx 20160106 (TeX Live SVN r39753). % \def\skipspaces#1{\def\PP{#1}\def\D{|}% \ifx\PP\D\let\nextsp\relax \else\let\nextsp\skipspaces \addtokens{\filename}{\PP}% \advance\filenamelength by 1 \fi \nextsp} \def\getfilename#1{% \filenamelength=0 % If we don't expand the argument now, \skipspaces will get % snagged on things like "@value{foo}". \edef\temp{#1}% \expandafter\skipspaces\temp|\relax } % make a live url in pdf output. \def\pdfurl#1{% \begingroup % it seems we really need yet another set of dummies; have not % tried to figure out what each command should do in the context % of @url. for now, just make @/ a no-op, that's the only one % people have actually reported a problem with. % \normalturnoffactive \def\@{@}% \let\/=\empty \makevalueexpandable % do we want to go so far as to use \indexnofonts instead of just % special-casing \var here? \def\var##1{##1}% % \leavevmode\setcolor{\urlcolor}% \special{pdf:bann << /Border [0 0 0] /Subtype /Link /A << /S /URI /URI (#1) >> >>}% \endgroup} \def\endlink{\setcolor{\maincolor}\special{pdf:eann}} \def\pdfgettoks#1.{\setbox\boxA=\hbox{\toksA={#1.}\toksB={}\maketoks}} \def\addtokens#1#2{\edef\addtoks{\noexpand#1={\the#1#2}}\addtoks} \def\adn#1{\addtokens{\toksC}{#1}\global\countA=1\let\next=\maketoks} \def\poptoks#1#2|ENDTOKS|{\let\first=#1\toksD={#1}\toksA={#2}} \def\maketoks{% \expandafter\poptoks\the\toksA|ENDTOKS|\relax \ifx\first0\adn0 \else\ifx\first1\adn1 \else\ifx\first2\adn2 \else\ifx\first3\adn3 \else\ifx\first4\adn4 \else\ifx\first5\adn5 \else\ifx\first6\adn6 \else\ifx\first7\adn7 \else\ifx\first8\adn8 \else\ifx\first9\adn9 \else \ifnum0=\countA\else\makelink\fi \ifx\first.\let\next=\done\else \let\next=\maketoks \addtokens{\toksB}{\the\toksD} \ifx\first,\addtokens{\toksB}{\space}\fi \fi \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi \next} \def\makelink{\addtokens{\toksB}% {\noexpand\pdflink{\the\toksC}}\toksC={}\global\countA=0} \def\pdflink#1{% \special{pdf:bann << /Border [0 0 0] /Type /Annot /Subtype /Link /A << /S /GoTo /D (#1) >> >>}% \setcolor{\linkcolor}#1\endlink} \def\done{\edef\st{\global\noexpand\toksA={\the\toksB}}\st} % % % @image support % % #1 is image name, #2 width (might be empty/whitespace), #3 height (ditto). \def\doxeteximage#1#2#3{% \def\xeteximagewidth{#2}\setbox0 = \hbox{\ignorespaces #2}% \def\xeteximageheight{#3}\setbox2 = \hbox{\ignorespaces #3}% % % XeTeX (and the PDF format) supports .pdf, .png, .jpg (among % others). Let's try in that order, PDF first since if % someone has a scalable image, presumably better to use that than a % bitmap. \let\xeteximgext=\empty \begingroup \openin 1 #1.pdf \ifeof 1 \openin 1 #1.PDF \ifeof 1 \openin 1 #1.png \ifeof 1 \openin 1 #1.jpg \ifeof 1 \openin 1 #1.jpeg \ifeof 1 \openin 1 #1.JPG \ifeof 1 \errmessage{Could not find image file #1 for XeTeX}% \else \gdef\xeteximgext{JPG}% \fi \else \gdef\xeteximgext{jpeg}% \fi \else \gdef\xeteximgext{jpg}% \fi \else \gdef\xeteximgext{png}% \fi \else \gdef\xeteximgext{PDF}% \fi \else \gdef\xeteximgext{pdf}% \fi \closein 1 \endgroup % % Putting an \hbox around the image can prevent an over-long line % after the image. \hbox\bgroup \def\xetexpdfext{pdf}% \ifx\xeteximgext\xetexpdfext \XeTeXpdffile "#1".\xeteximgext "" \else \def\xetexpdfext{PDF}% \ifx\xeteximgext\xetexpdfext \XeTeXpdffile "#1".\xeteximgext "" \else \XeTeXpicfile "#1".\xeteximgext "" \fi \fi \ifdim \wd0 >0pt width \xeteximagewidth \fi \ifdim \wd2 >0pt height \xeteximageheight \fi \relax \egroup } \fi % \message{fonts,} % Set the baselineskip to #1, and the lineskip and strut size % correspondingly. There is no deep meaning behind these magic numbers % used as factors; they just match (closely enough) what Knuth defined. % \def\lineskipfactor{.08333} \def\strutheightpercent{.70833} \def\strutdepthpercent {.29167} % % can get a sort of poor man's double spacing by redefining this. \def\baselinefactor{1} % \newdimen\textleading \def\setleading#1{% \dimen0 = #1\relax \normalbaselineskip = \baselinefactor\dimen0 \normallineskip = \lineskipfactor\normalbaselineskip \normalbaselines \setbox\strutbox =\hbox{% \vrule width0pt height\strutheightpercent\baselineskip depth \strutdepthpercent \baselineskip }% } % PDF CMaps. See also LaTeX's t1.cmap. % % do nothing with this by default. \expandafter\let\csname cmapOT1\endcsname\gobble \expandafter\let\csname cmapOT1IT\endcsname\gobble \expandafter\let\csname cmapOT1TT\endcsname\gobble % if we are producing pdf, and we have \pdffontattr, then define cmaps. % (\pdffontattr was introduced many years ago, but people still run % older pdftex's; it's easy to conditionalize, so we do.) \ifpdf \ifx\pdffontattr\thisisundefined \else \begingroup \catcode`\^^M=\active \def^^M{^^J}% Output line endings as the ^^J char. \catcode`\%=12 \immediate\pdfobj stream {%!PS-Adobe-3.0 Resource-CMap %%DocumentNeededResources: ProcSet (CIDInit) %%IncludeResource: ProcSet (CIDInit) %%BeginResource: CMap (TeX-OT1-0) %%Title: (TeX-OT1-0 TeX OT1 0) %%Version: 1.000 %%EndComments /CIDInit /ProcSet findresource begin 12 dict begin begincmap /CIDSystemInfo << /Registry (TeX) /Ordering (OT1) /Supplement 0 >> def /CMapName /TeX-OT1-0 def /CMapType 2 def 1 begincodespacerange <00> <7F> endcodespacerange 8 beginbfrange <00> <01> <0393> <09> <0A> <03A8> <23> <26> <0023> <28> <3B> <0028> <3F> <5B> <003F> <5D> <5E> <005D> <61> <7A> <0061> <7B> <7C> <2013> endbfrange 40 beginbfchar <02> <0398> <03> <039B> <04> <039E> <05> <03A0> <06> <03A3> <07> <03D2> <08> <03A6> <0B> <00660066> <0C> <00660069> <0D> <0066006C> <0E> <006600660069> <0F> <00660066006C> <10> <0131> <11> <0237> <12> <0060> <13> <00B4> <14> <02C7> <15> <02D8> <16> <00AF> <17> <02DA> <18> <00B8> <19> <00DF> <1A> <00E6> <1B> <0153> <1C> <00F8> <1D> <00C6> <1E> <0152> <1F> <00D8> <21> <0021> <22> <201D> <27> <2019> <3C> <00A1> <3D> <003D> <3E> <00BF> <5C> <201C> <5F> <02D9> <60> <2018> <7D> <02DD> <7E> <007E> <7F> <00A8> endbfchar endcmap CMapName currentdict /CMap defineresource pop end end %%EndResource %%EOF }\endgroup \expandafter\edef\csname cmapOT1\endcsname#1{% \pdffontattr#1{/ToUnicode \the\pdflastobj\space 0 R}% }% % % \cmapOT1IT \begingroup \catcode`\^^M=\active \def^^M{^^J}% Output line endings as the ^^J char. \catcode`\%=12 \immediate\pdfobj stream {%!PS-Adobe-3.0 Resource-CMap %%DocumentNeededResources: ProcSet (CIDInit) %%IncludeResource: ProcSet (CIDInit) %%BeginResource: CMap (TeX-OT1IT-0) %%Title: (TeX-OT1IT-0 TeX OT1IT 0) %%Version: 1.000 %%EndComments /CIDInit /ProcSet findresource begin 12 dict begin begincmap /CIDSystemInfo << /Registry (TeX) /Ordering (OT1IT) /Supplement 0 >> def /CMapName /TeX-OT1IT-0 def /CMapType 2 def 1 begincodespacerange <00> <7F> endcodespacerange 8 beginbfrange <00> <01> <0393> <09> <0A> <03A8> <25> <26> <0025> <28> <3B> <0028> <3F> <5B> <003F> <5D> <5E> <005D> <61> <7A> <0061> <7B> <7C> <2013> endbfrange 42 beginbfchar <02> <0398> <03> <039B> <04> <039E> <05> <03A0> <06> <03A3> <07> <03D2> <08> <03A6> <0B> <00660066> <0C> <00660069> <0D> <0066006C> <0E> <006600660069> <0F> <00660066006C> <10> <0131> <11> <0237> <12> <0060> <13> <00B4> <14> <02C7> <15> <02D8> <16> <00AF> <17> <02DA> <18> <00B8> <19> <00DF> <1A> <00E6> <1B> <0153> <1C> <00F8> <1D> <00C6> <1E> <0152> <1F> <00D8> <21> <0021> <22> <201D> <23> <0023> <24> <00A3> <27> <2019> <3C> <00A1> <3D> <003D> <3E> <00BF> <5C> <201C> <5F> <02D9> <60> <2018> <7D> <02DD> <7E> <007E> <7F> <00A8> endbfchar endcmap CMapName currentdict /CMap defineresource pop end end %%EndResource %%EOF }\endgroup \expandafter\edef\csname cmapOT1IT\endcsname#1{% \pdffontattr#1{/ToUnicode \the\pdflastobj\space 0 R}% }% % % \cmapOT1TT \begingroup \catcode`\^^M=\active \def^^M{^^J}% Output line endings as the ^^J char. \catcode`\%=12 \immediate\pdfobj stream {%!PS-Adobe-3.0 Resource-CMap %%DocumentNeededResources: ProcSet (CIDInit) %%IncludeResource: ProcSet (CIDInit) %%BeginResource: CMap (TeX-OT1TT-0) %%Title: (TeX-OT1TT-0 TeX OT1TT 0) %%Version: 1.000 %%EndComments /CIDInit /ProcSet findresource begin 12 dict begin begincmap /CIDSystemInfo << /Registry (TeX) /Ordering (OT1TT) /Supplement 0 >> def /CMapName /TeX-OT1TT-0 def /CMapType 2 def 1 begincodespacerange <00> <7F> endcodespacerange 5 beginbfrange <00> <01> <0393> <09> <0A> <03A8> <21> <26> <0021> <28> <5F> <0028> <61> <7E> <0061> endbfrange 32 beginbfchar <02> <0398> <03> <039B> <04> <039E> <05> <03A0> <06> <03A3> <07> <03D2> <08> <03A6> <0B> <2191> <0C> <2193> <0D> <0027> <0E> <00A1> <0F> <00BF> <10> <0131> <11> <0237> <12> <0060> <13> <00B4> <14> <02C7> <15> <02D8> <16> <00AF> <17> <02DA> <18> <00B8> <19> <00DF> <1A> <00E6> <1B> <0153> <1C> <00F8> <1D> <00C6> <1E> <0152> <1F> <00D8> <20> <2423> <27> <2019> <60> <2018> <7F> <00A8> endbfchar endcmap CMapName currentdict /CMap defineresource pop end end %%EndResource %%EOF }\endgroup \expandafter\edef\csname cmapOT1TT\endcsname#1{% \pdffontattr#1{/ToUnicode \the\pdflastobj\space 0 R}% }% \fi\fi % Set the font macro #1 to the font named \fontprefix#2. % #3 is the font's design size, #4 is a scale factor, #5 is the CMap % encoding (only OT1, OT1IT and OT1TT are allowed, or empty to omit). % Example: % #1 = \textrm % #2 = \rmshape % #3 = 10 % #4 = \mainmagstep % #5 = OT1 % \def\setfont#1#2#3#4#5{% \font#1=\fontprefix#2#3 scaled #4 \csname cmap#5\endcsname#1% } % This is what gets called when #5 of \setfont is empty. \let\cmap\gobble % % (end of cmaps) % Use cm as the default font prefix. % To specify the font prefix, you must define \fontprefix % before you read in texinfo.tex. \ifx\fontprefix\thisisundefined \def\fontprefix{cm} \fi % Support font families that don't use the same naming scheme as CM. \def\rmshape{r} \def\rmbshape{bx} % where the normal face is bold \def\bfshape{b} \def\bxshape{bx} \def\ttshape{tt} \def\ttbshape{tt} \def\ttslshape{sltt} \def\itshape{ti} \def\itbshape{bxti} \def\slshape{sl} \def\slbshape{bxsl} \def\sfshape{ss} \def\sfbshape{ss} \def\scshape{csc} \def\scbshape{csc} % Definitions for a main text size of 11pt. (The default in Texinfo.) % \def\definetextfontsizexi{% % Text fonts (11.2pt, magstep1). \def\textnominalsize{11pt} \edef\mainmagstep{\magstephalf} \setfont\textrm\rmshape{10}{\mainmagstep}{OT1} \setfont\texttt\ttshape{10}{\mainmagstep}{OT1TT} \setfont\textbf\bfshape{10}{\mainmagstep}{OT1} \setfont\textit\itshape{10}{\mainmagstep}{OT1IT} \setfont\textsl\slshape{10}{\mainmagstep}{OT1} \setfont\textsf\sfshape{10}{\mainmagstep}{OT1} \setfont\textsc\scshape{10}{\mainmagstep}{OT1} \setfont\textttsl\ttslshape{10}{\mainmagstep}{OT1TT} \font\texti=cmmi10 scaled \mainmagstep \font\textsy=cmsy10 scaled \mainmagstep \def\textecsize{1095} % A few fonts for @defun names and args. \setfont\defbf\bfshape{10}{\magstep1}{OT1} \setfont\deftt\ttshape{10}{\magstep1}{OT1TT} \setfont\defsl\slshape{10}{\magstep1}{OT1} \setfont\defttsl\ttslshape{10}{\magstep1}{OT1TT} \def\df{\let\ttfont=\deftt \let\bffont = \defbf \let\ttslfont=\defttsl \let\slfont=\defsl \bf} % Fonts for indices, footnotes, small examples (9pt). \def\smallnominalsize{9pt} \setfont\smallrm\rmshape{9}{1000}{OT1} \setfont\smalltt\ttshape{9}{1000}{OT1TT} \setfont\smallbf\bfshape{10}{900}{OT1} \setfont\smallit\itshape{9}{1000}{OT1IT} \setfont\smallsl\slshape{9}{1000}{OT1} \setfont\smallsf\sfshape{9}{1000}{OT1} \setfont\smallsc\scshape{10}{900}{OT1} \setfont\smallttsl\ttslshape{10}{900}{OT1TT} \font\smalli=cmmi9 \font\smallsy=cmsy9 \def\smallecsize{0900} % Fonts for small examples (8pt). \def\smallernominalsize{8pt} \setfont\smallerrm\rmshape{8}{1000}{OT1} \setfont\smallertt\ttshape{8}{1000}{OT1TT} \setfont\smallerbf\bfshape{10}{800}{OT1} \setfont\smallerit\itshape{8}{1000}{OT1IT} \setfont\smallersl\slshape{8}{1000}{OT1} \setfont\smallersf\sfshape{8}{1000}{OT1} \setfont\smallersc\scshape{10}{800}{OT1} \setfont\smallerttsl\ttslshape{10}{800}{OT1TT} \font\smalleri=cmmi8 \font\smallersy=cmsy8 \def\smallerecsize{0800} % Fonts for math mode superscripts (7pt). \def\sevennominalsize{7pt} \setfont\sevenrm\rmshape{7}{1000}{OT1} \setfont\seventt\ttshape{10}{700}{OT1TT} \setfont\sevenbf\bfshape{10}{700}{OT1} \setfont\sevenit\itshape{7}{1000}{OT1IT} \setfont\sevensl\slshape{10}{700}{OT1} \setfont\sevensf\sfshape{10}{700}{OT1} \setfont\sevensc\scshape{10}{700}{OT1} \setfont\seventtsl\ttslshape{10}{700}{OT1TT} \font\seveni=cmmi7 \font\sevensy=cmsy7 \def\sevenecsize{0700} % Fonts for title page (20.4pt): \def\titlenominalsize{20pt} \setfont\titlerm\rmbshape{12}{\magstep3}{OT1} \setfont\titleit\itbshape{10}{\magstep4}{OT1IT} \setfont\titlesl\slbshape{10}{\magstep4}{OT1} \setfont\titlett\ttbshape{12}{\magstep3}{OT1TT} \setfont\titlettsl\ttslshape{10}{\magstep4}{OT1TT} \setfont\titlesf\sfbshape{17}{\magstep1}{OT1} \let\titlebf=\titlerm \setfont\titlesc\scbshape{10}{\magstep4}{OT1} \font\titlei=cmmi12 scaled \magstep3 \font\titlesy=cmsy10 scaled \magstep4 \def\titleecsize{2074} % Chapter (and unnumbered) fonts (17.28pt). \def\chapnominalsize{17pt} \setfont\chaprm\rmbshape{12}{\magstep2}{OT1} \setfont\chapit\itbshape{10}{\magstep3}{OT1IT} \setfont\chapsl\slbshape{10}{\magstep3}{OT1} \setfont\chaptt\ttbshape{12}{\magstep2}{OT1TT} \setfont\chapttsl\ttslshape{10}{\magstep3}{OT1TT} \setfont\chapsf\sfbshape{17}{1000}{OT1} \let\chapbf=\chaprm \setfont\chapsc\scbshape{10}{\magstep3}{OT1} \font\chapi=cmmi12 scaled \magstep2 \font\chapsy=cmsy10 scaled \magstep3 \def\chapecsize{1728} % Section fonts (14.4pt). \def\secnominalsize{14pt} \setfont\secrm\rmbshape{12}{\magstep1}{OT1} \setfont\secrmnotbold\rmshape{12}{\magstep1}{OT1} \setfont\secit\itbshape{10}{\magstep2}{OT1IT} \setfont\secsl\slbshape{10}{\magstep2}{OT1} \setfont\sectt\ttbshape{12}{\magstep1}{OT1TT} \setfont\secttsl\ttslshape{10}{\magstep2}{OT1TT} \setfont\secsf\sfbshape{12}{\magstep1}{OT1} \let\secbf\secrm \setfont\secsc\scbshape{10}{\magstep2}{OT1} \font\seci=cmmi12 scaled \magstep1 \font\secsy=cmsy10 scaled \magstep2 \def\sececsize{1440} % Subsection fonts (13.15pt). \def\ssecnominalsize{13pt} \setfont\ssecrm\rmbshape{12}{\magstephalf}{OT1} \setfont\ssecit\itbshape{10}{1315}{OT1IT} \setfont\ssecsl\slbshape{10}{1315}{OT1} \setfont\ssectt\ttbshape{12}{\magstephalf}{OT1TT} \setfont\ssecttsl\ttslshape{10}{1315}{OT1TT} \setfont\ssecsf\sfbshape{12}{\magstephalf}{OT1} \let\ssecbf\ssecrm \setfont\ssecsc\scbshape{10}{1315}{OT1} \font\sseci=cmmi12 scaled \magstephalf \font\ssecsy=cmsy10 scaled 1315 \def\ssececsize{1200} % Reduced fonts for @acronym in text (10pt). \def\reducednominalsize{10pt} \setfont\reducedrm\rmshape{10}{1000}{OT1} \setfont\reducedtt\ttshape{10}{1000}{OT1TT} \setfont\reducedbf\bfshape{10}{1000}{OT1} \setfont\reducedit\itshape{10}{1000}{OT1IT} \setfont\reducedsl\slshape{10}{1000}{OT1} \setfont\reducedsf\sfshape{10}{1000}{OT1} \setfont\reducedsc\scshape{10}{1000}{OT1} \setfont\reducedttsl\ttslshape{10}{1000}{OT1TT} \font\reducedi=cmmi10 \font\reducedsy=cmsy10 \def\reducedecsize{1000} \textleading = 13.2pt % line spacing for 11pt CM \textfonts % reset the current fonts \rm } % end of 11pt text font size definitions, \definetextfontsizexi % Definitions to make the main text be 10pt Computer Modern, with % section, chapter, etc., sizes following suit. This is for the GNU % Press printing of the Emacs 22 manual. Maybe other manuals in the % future. Used with @smallbook, which sets the leading to 12pt. % \def\definetextfontsizex{% % Text fonts (10pt). \def\textnominalsize{10pt} \edef\mainmagstep{1000} \setfont\textrm\rmshape{10}{\mainmagstep}{OT1} \setfont\texttt\ttshape{10}{\mainmagstep}{OT1TT} \setfont\textbf\bfshape{10}{\mainmagstep}{OT1} \setfont\textit\itshape{10}{\mainmagstep}{OT1IT} \setfont\textsl\slshape{10}{\mainmagstep}{OT1} \setfont\textsf\sfshape{10}{\mainmagstep}{OT1} \setfont\textsc\scshape{10}{\mainmagstep}{OT1} \setfont\textttsl\ttslshape{10}{\mainmagstep}{OT1TT} \font\texti=cmmi10 scaled \mainmagstep \font\textsy=cmsy10 scaled \mainmagstep \def\textecsize{1000} % A few fonts for @defun names and args. \setfont\defbf\bfshape{10}{\magstephalf}{OT1} \setfont\deftt\ttshape{10}{\magstephalf}{OT1TT} \setfont\defsl\slshape{10}{\magstephalf}{OT1} \setfont\defttsl\ttslshape{10}{\magstephalf}{OT1TT} \def\df{\let\ttfont=\deftt \let\bffont = \defbf \let\slfont=\defsl \let\ttslfont=\defttsl \bf} % Fonts for indices, footnotes, small examples (9pt). \def\smallnominalsize{9pt} \setfont\smallrm\rmshape{9}{1000}{OT1} \setfont\smalltt\ttshape{9}{1000}{OT1TT} \setfont\smallbf\bfshape{10}{900}{OT1} \setfont\smallit\itshape{9}{1000}{OT1IT} \setfont\smallsl\slshape{9}{1000}{OT1} \setfont\smallsf\sfshape{9}{1000}{OT1} \setfont\smallsc\scshape{10}{900}{OT1} \setfont\smallttsl\ttslshape{10}{900}{OT1TT} \font\smalli=cmmi9 \font\smallsy=cmsy9 \def\smallecsize{0900} % Fonts for small examples (8pt). \def\smallernominalsize{8pt} \setfont\smallerrm\rmshape{8}{1000}{OT1} \setfont\smallertt\ttshape{8}{1000}{OT1TT} \setfont\smallerbf\bfshape{10}{800}{OT1} \setfont\smallerit\itshape{8}{1000}{OT1IT} \setfont\smallersl\slshape{8}{1000}{OT1} \setfont\smallersf\sfshape{8}{1000}{OT1} \setfont\smallersc\scshape{10}{800}{OT1} \setfont\smallerttsl\ttslshape{10}{800}{OT1TT} \font\smalleri=cmmi8 \font\smallersy=cmsy8 \def\smallerecsize{0800} % Fonts for math mode superscripts (7pt). \def\sevennominalsize{7pt} \setfont\sevenrm\rmshape{7}{1000}{OT1} \setfont\seventt\ttshape{10}{700}{OT1TT} \setfont\sevenbf\bfshape{10}{700}{OT1} \setfont\sevenit\itshape{7}{1000}{OT1IT} \setfont\sevensl\slshape{10}{700}{OT1} \setfont\sevensf\sfshape{10}{700}{OT1} \setfont\sevensc\scshape{10}{700}{OT1} \setfont\seventtsl\ttslshape{10}{700}{OT1TT} \font\seveni=cmmi7 \font\sevensy=cmsy7 \def\sevenecsize{0700} % Fonts for title page (20.4pt): \def\titlenominalsize{20pt} \setfont\titlerm\rmbshape{12}{\magstep3}{OT1} \setfont\titleit\itbshape{10}{\magstep4}{OT1IT} \setfont\titlesl\slbshape{10}{\magstep4}{OT1} \setfont\titlett\ttbshape{12}{\magstep3}{OT1TT} \setfont\titlettsl\ttslshape{10}{\magstep4}{OT1TT} \setfont\titlesf\sfbshape{17}{\magstep1}{OT1} \let\titlebf=\titlerm \setfont\titlesc\scbshape{10}{\magstep4}{OT1} \font\titlei=cmmi12 scaled \magstep3 \font\titlesy=cmsy10 scaled \magstep4 \def\titleecsize{2074} % Chapter fonts (14.4pt). \def\chapnominalsize{14pt} \setfont\chaprm\rmbshape{12}{\magstep1}{OT1} \setfont\chapit\itbshape{10}{\magstep2}{OT1IT} \setfont\chapsl\slbshape{10}{\magstep2}{OT1} \setfont\chaptt\ttbshape{12}{\magstep1}{OT1TT} \setfont\chapttsl\ttslshape{10}{\magstep2}{OT1TT} \setfont\chapsf\sfbshape{12}{\magstep1}{OT1} \let\chapbf\chaprm \setfont\chapsc\scbshape{10}{\magstep2}{OT1} \font\chapi=cmmi12 scaled \magstep1 \font\chapsy=cmsy10 scaled \magstep2 \def\chapecsize{1440} % Section fonts (12pt). \def\secnominalsize{12pt} \setfont\secrm\rmbshape{12}{1000}{OT1} \setfont\secit\itbshape{10}{\magstep1}{OT1IT} \setfont\secsl\slbshape{10}{\magstep1}{OT1} \setfont\sectt\ttbshape{12}{1000}{OT1TT} \setfont\secttsl\ttslshape{10}{\magstep1}{OT1TT} \setfont\secsf\sfbshape{12}{1000}{OT1} \let\secbf\secrm \setfont\secsc\scbshape{10}{\magstep1}{OT1} \font\seci=cmmi12 \font\secsy=cmsy10 scaled \magstep1 \def\sececsize{1200} % Subsection fonts (10pt). \def\ssecnominalsize{10pt} \setfont\ssecrm\rmbshape{10}{1000}{OT1} \setfont\ssecit\itbshape{10}{1000}{OT1IT} \setfont\ssecsl\slbshape{10}{1000}{OT1} \setfont\ssectt\ttbshape{10}{1000}{OT1TT} \setfont\ssecttsl\ttslshape{10}{1000}{OT1TT} \setfont\ssecsf\sfbshape{10}{1000}{OT1} \let\ssecbf\ssecrm \setfont\ssecsc\scbshape{10}{1000}{OT1} \font\sseci=cmmi10 \font\ssecsy=cmsy10 \def\ssececsize{1000} % Reduced fonts for @acronym in text (9pt). \def\reducednominalsize{9pt} \setfont\reducedrm\rmshape{9}{1000}{OT1} \setfont\reducedtt\ttshape{9}{1000}{OT1TT} \setfont\reducedbf\bfshape{10}{900}{OT1} \setfont\reducedit\itshape{9}{1000}{OT1IT} \setfont\reducedsl\slshape{9}{1000}{OT1} \setfont\reducedsf\sfshape{9}{1000}{OT1} \setfont\reducedsc\scshape{10}{900}{OT1} \setfont\reducedttsl\ttslshape{10}{900}{OT1TT} \font\reducedi=cmmi9 \font\reducedsy=cmsy9 \def\reducedecsize{0900} \divide\parskip by 2 % reduce space between paragraphs \textleading = 12pt % line spacing for 10pt CM \textfonts % reset the current fonts \rm } % end of 10pt text font size definitions, \definetextfontsizex % Fonts for short table of contents. \setfont\shortcontrm\rmshape{12}{1000}{OT1} \setfont\shortcontbf\bfshape{10}{\magstep1}{OT1} % no cmb12 \setfont\shortcontsl\slshape{12}{1000}{OT1} \setfont\shortconttt\ttshape{12}{1000}{OT1TT} % We provide the user-level command % @fonttextsize 10 % (or 11) to redefine the text font size. pt is assumed. % \def\xiword{11} \def\xword{10} \def\xwordpt{10pt} % \parseargdef\fonttextsize{% \def\textsizearg{#1}% %\wlog{doing @fonttextsize \textsizearg}% % % Set \globaldefs so that documents can use this inside @tex, since % makeinfo 4.8 does not support it, but we need it nonetheless. % \begingroup \globaldefs=1 \ifx\textsizearg\xword \definetextfontsizex \else \ifx\textsizearg\xiword \definetextfontsizexi \else \errhelp=\EMsimple \errmessage{@fonttextsize only supports `10' or `11', not `\textsizearg'} \fi\fi \endgroup } % % Change the current font style to #1, remembering it in \curfontstyle. % For now, we do not accumulate font styles: @b{@i{foo}} prints foo in % italics, not bold italics. % \def\setfontstyle#1{% \def\curfontstyle{#1}% not as a control sequence, because we are \edef'd. \csname #1font\endcsname % change the current font } \def\rm{\fam=0 \setfontstyle{rm}} \def\it{\fam=\itfam \setfontstyle{it}} \def\sl{\fam=\slfam \setfontstyle{sl}} \def\bf{\fam=\bffam \setfontstyle{bf}}\def\bfstylename{bf} \def\tt{\fam=\ttfam \setfontstyle{tt}}\def\ttstylename{tt} % Texinfo sort of supports the sans serif font style, which plain TeX does not. % So we set up a \sf. \newfam\sffam \def\sf{\fam=\sffam \setfontstyle{sf}} % We don't need math for this font style. \def\ttsl{\setfontstyle{ttsl}} % In order for the font changes to affect most math symbols and letters, % we have to define the \textfont of the standard families. % We don't bother to reset \scriptscriptfont; awaiting user need. % \def\resetmathfonts{% \textfont0=\rmfont \textfont1=\ifont \textfont2=\syfont \textfont\itfam=\itfont \textfont\slfam=\slfont \textfont\bffam=\bffont \textfont\ttfam=\ttfont \textfont\sffam=\sffont % % Fonts for superscript. Note that the 7pt fonts are used regardless % of the current font size. \scriptfont0=\sevenrm \scriptfont1=\seveni \scriptfont2=\sevensy \scriptfont\itfam=\sevenit \scriptfont\slfam=\sevensl \scriptfont\bffam=\sevenbf \scriptfont\ttfam=\seventt \scriptfont\sffam=\sevensf } % % The font-changing commands (all called \...fonts) redefine the meanings % of \STYLEfont, instead of just \STYLE. We do this because \STYLE needs % to also set the current \fam for math mode. Our \STYLE (e.g., \rm) % commands hardwire \STYLEfont to set the current font. % % The fonts used for \ifont are for "math italics" (\itfont is for italics % in regular text). \syfont is also used in math mode only. % % Each font-changing command also sets the names \lsize (one size lower) % and \lllsize (three sizes lower). These relative commands are used % in, e.g., the LaTeX logo and acronyms. % % This all needs generalizing, badly. % \def\assignfonts#1{% \expandafter\let\expandafter\rmfont\csname #1rm\endcsname \expandafter\let\expandafter\itfont\csname #1it\endcsname \expandafter\let\expandafter\slfont\csname #1sl\endcsname \expandafter\let\expandafter\bffont\csname #1bf\endcsname \expandafter\let\expandafter\ttfont\csname #1tt\endcsname \expandafter\let\expandafter\smallcaps\csname #1sc\endcsname \expandafter\let\expandafter\sffont \csname #1sf\endcsname \expandafter\let\expandafter\ifont \csname #1i\endcsname \expandafter\let\expandafter\syfont \csname #1sy\endcsname \expandafter\let\expandafter\ttslfont\csname #1ttsl\endcsname } \newif\ifrmisbold % Select smaller font size with the current style. Used to change font size % in, e.g., the LaTeX logo and acronyms. If we are using bold fonts for % normal roman text, also use bold fonts for roman text in the smaller size. \def\switchtolllsize{% \expandafter\assignfonts\expandafter{\lllsize}% \ifrmisbold \let\rmfont\bffont \fi \csname\curfontstyle\endcsname }% \def\switchtolsize{% \expandafter\assignfonts\expandafter{\lsize}% \ifrmisbold \let\rmfont\bffont \fi \csname\curfontstyle\endcsname }% \def\definefontsetatsize#1#2#3#4#5{% \expandafter\def\csname #1fonts\endcsname{% \def\curfontsize{#1}% \def\lsize{#2}\def\lllsize{#3}% \csname rmisbold#5\endcsname \assignfonts{#1}% \resetmathfonts \setleading{#4}% }} \definefontsetatsize{text} {reduced}{smaller}{\textleading}{false} \definefontsetatsize{title} {chap} {subsec} {27pt} {true} \definefontsetatsize{chap} {sec} {text} {19pt} {true} \definefontsetatsize{sec} {subsec} {reduced}{17pt} {true} \definefontsetatsize{ssec} {text} {small} {15pt} {true} \definefontsetatsize{reduced}{small} {smaller}{10.5pt}{false} \definefontsetatsize{small} {smaller}{smaller}{10.5pt}{false} \definefontsetatsize{smaller}{smaller}{smaller}{9.5pt} {false} \def\titlefont#1{{\titlefonts\rm #1}} \let\subsecfonts = \ssecfonts \let\subsubsecfonts = \ssecfonts % Define these just so they can be easily changed for other fonts. \def\angleleft{$\langle$} \def\angleright{$\rangle$} % Set the fonts to use with the @small... environments. \let\smallexamplefonts = \smallfonts % About \smallexamplefonts. If we use \smallfonts (9pt), @smallexample % can fit this many characters: % 8.5x11=86 smallbook=72 a4=90 a5=69 % If we use \scriptfonts (8pt), then we can fit this many characters: % 8.5x11=90+ smallbook=80 a4=90+ a5=77 % For me, subjectively, the few extra characters that fit aren't worth % the additional smallness of 8pt. So I'm making the default 9pt. % % By the way, for comparison, here's what fits with @example (10pt): % 8.5x11=71 smallbook=60 a4=75 a5=58 % --karl, 24jan03. % Set up the default fonts, so we can use them for creating boxes. % \definetextfontsizexi % Check if we are currently using a typewriter font. Since all the % Computer Modern typewriter fonts have zero interword stretch (and % shrink), and it is reasonable to expect all typewriter fonts to have % this property, we can check that font parameter. % \def\ifmonospace{\ifdim\fontdimen3\font=0pt } { \catcode`\'=\active \catcode`\`=\active \gdef\setcodequotes{\let`\codequoteleft \let'\codequoteright} \gdef\setregularquotes{\let`\lq \let'\rq} } % Allow an option to not use regular directed right quote/apostrophe % (char 0x27), but instead the undirected quote from cmtt (char 0x0d). % The undirected quote is ugly, so don't make it the default, but it % works for pasting with more pdf viewers (at least evince), the % lilypond developers report. xpdf does work with the regular 0x27. % \def\codequoteright{% \ifmonospace \expandafter\ifx\csname SETtxicodequoteundirected\endcsname\relax \expandafter\ifx\csname SETcodequoteundirected\endcsname\relax '% \else \char'15 \fi \else \char'15 \fi \else '% \fi } % % and a similar option for the left quote char vs. a grave accent. % Modern fonts display ASCII 0x60 as a grave accent, so some people like % the code environments to do likewise. % \def\codequoteleft{% \ifmonospace \expandafter\ifx\csname SETtxicodequotebacktick\endcsname\relax \expandafter\ifx\csname SETcodequotebacktick\endcsname\relax % [Knuth] pp. 380,381,391 % \relax disables Spanish ligatures ?` and !` of \tt font. \relax`% \else \char'22 \fi \else \char'22 \fi \else \relax`% \fi } % Commands to set the quote options. % \parseargdef\codequoteundirected{% \def\temp{#1}% \ifx\temp\onword \expandafter\let\csname SETtxicodequoteundirected\endcsname = t% \else\ifx\temp\offword \expandafter\let\csname SETtxicodequoteundirected\endcsname = \relax \else \errhelp = \EMsimple \errmessage{Unknown @codequoteundirected value `\temp', must be on|off}% \fi\fi } % \parseargdef\codequotebacktick{% \def\temp{#1}% \ifx\temp\onword \expandafter\let\csname SETtxicodequotebacktick\endcsname = t% \else\ifx\temp\offword \expandafter\let\csname SETtxicodequotebacktick\endcsname = \relax \else \errhelp = \EMsimple \errmessage{Unknown @codequotebacktick value `\temp', must be on|off}% \fi\fi } % [Knuth] pp. 380,381,391, disable Spanish ligatures ?` and !` of \tt font. \def\noligaturesquoteleft{\relax\lq} % Count depth in font-changes, for error checks \newcount\fontdepth \fontdepth=0 % Font commands. % #1 is the font command (\sl or \it), #2 is the text to slant. % If we are in a monospaced environment, however, 1) always use \ttsl, % and 2) do not add an italic correction. \def\dosmartslant#1#2{% \ifusingtt {{\ttsl #2}\let\next=\relax}% {\def\next{{#1#2}\futurelet\next\smartitaliccorrection}}% \next } \def\smartslanted{\dosmartslant\sl} \def\smartitalic{\dosmartslant\it} % Output an italic correction unless \next (presumed to be the following % character) is such as not to need one. \def\smartitaliccorrection{% \ifx\next,% \else\ifx\next-% \else\ifx\next.% \else\ifx\next\.% \else\ifx\next\comma% \else\ptexslash \fi\fi\fi\fi\fi \aftersmartic } % Unconditional use \ttsl, and no ic. @var is set to this for defuns. \def\ttslanted#1{{\ttsl #1}} % @cite is like \smartslanted except unconditionally use \sl. We never want % ttsl for book titles, do we? \def\cite#1{{\sl #1}\futurelet\next\smartitaliccorrection} \def\aftersmartic{} \def\var#1{% \let\saveaftersmartic = \aftersmartic \def\aftersmartic{\null\let\aftersmartic=\saveaftersmartic}% \smartslanted{#1}% } \let\i=\smartitalic \let\slanted=\smartslanted \let\dfn=\smartslanted \let\emph=\smartitalic % Explicit font changes: @r, @sc, undocumented @ii. \def\r#1{{\rm #1}} % roman font \def\sc#1{{\smallcaps#1}} % smallcaps font \def\ii#1{{\it #1}} % italic font % @b, explicit bold. Also @strong. \def\b#1{{\bf #1}} \let\strong=\b % @sansserif, explicit sans. \def\sansserif#1{{\sf #1}} % We can't just use \exhyphenpenalty, because that only has effect at % the end of a paragraph. Restore normal hyphenation at the end of the % group within which \nohyphenation is presumably called. % \def\nohyphenation{\hyphenchar\font = -1 \aftergroup\restorehyphenation} \def\restorehyphenation{\hyphenchar\font = `- } % Set sfcode to normal for the chars that usually have another value. % Can't use plain's \frenchspacing because it uses the `\x notation, and % sometimes \x has an active definition that messes things up. % \catcode`@=11 \def\plainfrenchspacing{% \sfcode`\.=\@m \sfcode`\?=\@m \sfcode`\!=\@m \sfcode`\:=\@m \sfcode`\;=\@m \sfcode`\,=\@m \def\endofsentencespacefactor{1000}% for @. and friends } \def\plainnonfrenchspacing{% \sfcode`\.3000\sfcode`\?3000\sfcode`\!3000 \sfcode`\:2000\sfcode`\;1500\sfcode`\,1250 \def\endofsentencespacefactor{3000}% for @. and friends } \catcode`@=\other \def\endofsentencespacefactor{3000}% default % @t, explicit typewriter. \def\t#1{% {\tt \plainfrenchspacing #1}% \null } % @samp. \def\samp#1{{\setcodequotes\lq\tclose{#1}\rq\null}} % @indicateurl is \samp, that is, with quotes. \let\indicateurl=\samp % @code (and similar) prints in typewriter, but with spaces the same % size as normal in the surrounding text, without hyphenation, etc. % This is a subroutine for that. \def\tclose#1{% {% % Change normal interword space to be same as for the current font. \spaceskip = \fontdimen2\font % % Switch to typewriter. \tt % % But `\ ' produces the large typewriter interword space. \def\ {{\spaceskip = 0pt{} }}% % % Turn off hyphenation. \nohyphenation % \plainfrenchspacing #1% }% \null % reset spacefactor to 1000 } % We *must* turn on hyphenation at `-' and `_' in @code. % (But see \codedashfinish below.) % Otherwise, it is too hard to avoid overfull hboxes % in the Emacs manual, the Library manual, etc. % % Unfortunately, TeX uses one parameter (\hyphenchar) to control % both hyphenation at - and hyphenation within words. % We must therefore turn them both off (\tclose does that) % and arrange explicitly to hyphenate at a dash. -- rms. { \catcode`\-=\active \catcode`\_=\active \catcode`\'=\active \catcode`\`=\active \global\let'=\rq \global\let`=\lq % default definitions % \global\def\code{\begingroup \setcodequotes \catcode\dashChar=\active \catcode\underChar=\active \ifallowcodebreaks \let-\codedash \let_\codeunder \else \let-\normaldash \let_\realunder \fi % Given -foo (with a single dash), we do not want to allow a break % after the hyphen. \global\let\codedashprev=\codedash % \codex } % \gdef\codedash{\futurelet\next\codedashfinish} \gdef\codedashfinish{% \normaldash % always output the dash character itself. % % Now, output a discretionary to allow a line break, unless % (a) the next character is a -, or % (b) the preceding character is a -. % E.g., given --posix, we do not want to allow a break after either -. % Given --foo-bar, we do want to allow a break between the - and the b. \ifx\next\codedash \else \ifx\codedashprev\codedash \else \discretionary{}{}{}\fi \fi % we need the space after the = for the case when \next itself is a % space token; it would get swallowed otherwise. As in @code{- a}. \global\let\codedashprev= \next } } \def\normaldash{-} % \def\codex #1{\tclose{#1}\endgroup} \def\codeunder{% % this is all so @math{@code{var_name}+1} can work. In math mode, _ % is "active" (mathcode"8000) and \normalunderscore (or \char95, etc.) % will therefore expand the active definition of _, which is us % (inside @code that is), therefore an endless loop. \ifusingtt{\ifmmode \mathchar"075F % class 0=ordinary, family 7=ttfam, pos 0x5F=_. \else\normalunderscore \fi \discretionary{}{}{}}% {\_}% } % An additional complication: the above will allow breaks after, e.g., % each of the four underscores in __typeof__. This is bad. % @allowcodebreaks provides a document-level way to turn breaking at - % and _ on and off. % \newif\ifallowcodebreaks \allowcodebreakstrue \def\keywordtrue{true} \def\keywordfalse{false} \parseargdef\allowcodebreaks{% \def\txiarg{#1}% \ifx\txiarg\keywordtrue \allowcodebreakstrue \else\ifx\txiarg\keywordfalse \allowcodebreaksfalse \else \errhelp = \EMsimple \errmessage{Unknown @allowcodebreaks option `\txiarg', must be true|false}% \fi\fi } % For @command, @env, @file, @option quotes seem unnecessary, % so use \code rather than \samp. \let\command=\code \let\env=\code \let\file=\code \let\option=\code % @uref (abbreviation for `urlref') aka @url takes an optional % (comma-separated) second argument specifying the text to display and % an optional third arg as text to display instead of (rather than in % addition to) the url itself. First (mandatory) arg is the url. % TeX-only option to allow changing PDF output to show only the second % arg (if given), and not the url (which is then just the link target). \newif\ifurefurlonlylink % The default \pretolerance setting stops the penalty inserted in % \urefallowbreak being a discouragement to line breaking. Set it to % a negative value for this paragraph only. Hopefully this does not % conflict with redefinitions of \par done elsewhere. \def\nopretolerance{% \pretolerance=-1 \def\par{\endgraf\pretolerance=100 \let\par\endgraf}% } % The main macro is \urefbreak, which allows breaking at expected % places within the url. \def\urefbreak{\nopretolerance \begingroup \urefcatcodes \dourefbreak} \let\uref=\urefbreak % \def\dourefbreak#1{\urefbreakfinish #1,,,\finish} \def\urefbreakfinish#1,#2,#3,#4\finish{% doesn't work in @example \unsepspaces \pdfurl{#1}% \setbox0 = \hbox{\ignorespaces #3}% \ifdim\wd0 > 0pt \unhbox0 % third arg given, show only that \else \setbox0 = \hbox{\ignorespaces #2}% look for second arg \ifdim\wd0 > 0pt \ifpdf % For pdfTeX and LuaTeX \ifurefurlonlylink % PDF plus option to not display url, show just arg \unhbox0 \else % PDF, normally display both arg and url for consistency, % visibility, if the pdf is eventually used to print, etc. \unhbox0\ (\urefcode{#1})% \fi \else \ifx\XeTeXrevision\thisisundefined \unhbox0\ (\urefcode{#1})% DVI, always show arg and url \else % For XeTeX \ifurefurlonlylink % PDF plus option to not display url, show just arg \unhbox0 \else % PDF, normally display both arg and url for consistency, % visibility, if the pdf is eventually used to print, etc. \unhbox0\ (\urefcode{#1})% \fi \fi \fi \else \urefcode{#1}% only url given, so show it \fi \fi \endlink \endgroup} % Allow line breaks around only a few characters (only). \def\urefcatcodes{% \catcode`\&=\active \catcode`\.=\active \catcode`\#=\active \catcode`\?=\active \catcode`\/=\active } { \urefcatcodes % \global\def\urefcode{\begingroup \setcodequotes \urefcatcodes \let&\urefcodeamp \let.\urefcodedot \let#\urefcodehash \let?\urefcodequest \let/\urefcodeslash \codex } % % By default, they are just regular characters. \global\def&{\normalamp} \global\def.{\normaldot} \global\def#{\normalhash} \global\def?{\normalquest} \global\def/{\normalslash} } \def\urefcodeamp{\urefprebreak \&\urefpostbreak} \def\urefcodedot{\urefprebreak .\urefpostbreak} \def\urefcodehash{\urefprebreak \#\urefpostbreak} \def\urefcodequest{\urefprebreak ?\urefpostbreak} \def\urefcodeslash{\futurelet\next\urefcodeslashfinish} { \catcode`\/=\active \global\def\urefcodeslashfinish{% \urefprebreak \slashChar % Allow line break only after the final / in a sequence of % slashes, to avoid line break between the slashes in http://. \ifx\next/\else \urefpostbreak \fi } } % By default we'll break after the special characters, but some people like to % break before the special chars, so allow that. Also allow no breaking at % all, for manual control. % \parseargdef\urefbreakstyle{% \def\txiarg{#1}% \ifx\txiarg\wordnone \def\urefprebreak{\nobreak}\def\urefpostbreak{\nobreak} \else\ifx\txiarg\wordbefore \def\urefprebreak{\urefallowbreak}\def\urefpostbreak{\nobreak} \else\ifx\txiarg\wordafter \def\urefprebreak{\nobreak}\def\urefpostbreak{\urefallowbreak} \else \errhelp = \EMsimple \errmessage{Unknown @urefbreakstyle setting `\txiarg'}% \fi\fi\fi } \def\wordafter{after} \def\wordbefore{before} \def\wordnone{none} % Allow a ragged right output to aid breaking long URL's. There can % be a break at the \allowbreak with no extra glue (if the existing stretch in % the line is sufficient), a break at the \penalty with extra glue added % at the end of the line, or no break at all here. % Changing the value of the penalty and/or the amount of stretch affects how % preferable one choice is over the other. \def\urefallowbreak{% \penalty0\relax \hskip 0pt plus 2 em\relax \penalty1000\relax \hskip 0pt plus -2 em\relax } \urefbreakstyle after % @url synonym for @uref, since that's how everyone uses it. % \let\url=\uref % rms does not like angle brackets --karl, 17may97. % So now @email is just like @uref, unless we are pdf. % %\def\email#1{\angleleft{\tt #1}\angleright} \ifpdforxetex \def\email#1{\doemail#1,,\finish} \def\doemail#1,#2,#3\finish{\begingroup \unsepspaces \pdfurl{mailto:#1}% \setbox0 = \hbox{\ignorespaces #2}% \ifdim\wd0>0pt\unhbox0\else\code{#1}\fi \endlink \endgroup} \else \let\email=\uref \fi % @kbdinputstyle -- arg is `distinct' (@kbd uses slanted tty font always), % `example' (@kbd uses ttsl only inside of @example and friends), % or `code' (@kbd uses normal tty font always). \parseargdef\kbdinputstyle{% \def\txiarg{#1}% \ifx\txiarg\worddistinct \gdef\kbdexamplefont{\ttsl}\gdef\kbdfont{\ttsl}% \else\ifx\txiarg\wordexample \gdef\kbdexamplefont{\ttsl}\gdef\kbdfont{\tt}% \else\ifx\txiarg\wordcode \gdef\kbdexamplefont{\tt}\gdef\kbdfont{\tt}% \else \errhelp = \EMsimple \errmessage{Unknown @kbdinputstyle setting `\txiarg'}% \fi\fi\fi } \def\worddistinct{distinct} \def\wordexample{example} \def\wordcode{code} % Default is `distinct'. \kbdinputstyle distinct % @kbd is like @code, except that if the argument is just one @key command, % then @kbd has no effect. \def\kbd#1{{\def\look{#1}\expandafter\kbdsub\look??\par}} \def\xkey{\key} \def\kbdsub#1#2#3\par{% \def\one{#1}\def\three{#3}\def\threex{??}% \ifx\one\xkey\ifx\threex\three \key{#2}% \else{\tclose{\kbdfont\setcodequotes\look}}\fi \else{\tclose{\kbdfont\setcodequotes\look}}\fi } % definition of @key that produces a lozenge. Doesn't adjust to text size. %\setfont\keyrm\rmshape{8}{1000}{OT1} %\font\keysy=cmsy9 %\def\key#1{{\keyrm\textfont2=\keysy \leavevmode\hbox{% % \raise0.4pt\hbox{\angleleft}\kern-.08em\vtop{% % \vbox{\hrule\kern-0.4pt % \hbox{\raise0.4pt\hbox{\vphantom{\angleleft}}#1}}% % \kern-0.4pt\hrule}% % \kern-.06em\raise0.4pt\hbox{\angleright}}}} % definition of @key with no lozenge. If the current font is already % monospace, don't change it; that way, we respect @kbdinputstyle. But % if it isn't monospace, then use \tt. % \def\key#1{{\setregularquotes \nohyphenation \ifmonospace\else\tt\fi #1}\null} % @clicksequence{File @click{} Open ...} \def\clicksequence#1{\begingroup #1\endgroup} % @clickstyle @arrow (by default) \parseargdef\clickstyle{\def\click{#1}} \def\click{\arrow} % Typeset a dimension, e.g., `in' or `pt'. The only reason for the % argument is to make the input look right: @dmn{pt} instead of @dmn{}pt. % \def\dmn#1{\thinspace #1} % @acronym for "FBI", "NATO", and the like. % We print this one point size smaller, since it's intended for % all-uppercase. % \def\acronym#1{\doacronym #1,,\finish} \def\doacronym#1,#2,#3\finish{% {\switchtolsize #1}% \def\temp{#2}% \ifx\temp\empty \else \space ({\unsepspaces \ignorespaces \temp \unskip})% \fi \null % reset \spacefactor=1000 } % @abbr for "Comput. J." and the like. % No font change, but don't do end-of-sentence spacing. % \def\abbr#1{\doabbr #1,,\finish} \def\doabbr#1,#2,#3\finish{% {\plainfrenchspacing #1}% \def\temp{#2}% \ifx\temp\empty \else \space ({\unsepspaces \ignorespaces \temp \unskip})% \fi \null % reset \spacefactor=1000 } % @asis just yields its argument. Used with @table, for example. % \def\asis#1{#1} % @math outputs its argument in math mode. % % One complication: _ usually means subscripts, but it could also mean % an actual _ character, as in @math{@var{some_variable} + 1}. So make % _ active, and distinguish by seeing if the current family is \slfam, % which is what @var uses. { \catcode`\_ = \active \gdef\mathunderscore{% \catcode`\_=\active \def_{\ifnum\fam=\slfam \_\else\sb\fi}% } } % Another complication: we want \\ (and @\) to output a math (or tt) \. % FYI, plain.tex uses \\ as a temporary control sequence (for no % particular reason), but this is not advertised and we don't care. % % The \mathchar is class=0=ordinary, family=7=ttfam, position=5C=\. \def\mathbackslash{\ifnum\fam=\ttfam \mathchar"075C \else\backslash \fi} % \def\math{% \ifmmode\else % only go into math if not in math mode already \tex \mathunderscore \let\\ = \mathbackslash \mathactive % make the texinfo accent commands work in math mode \let\"=\ddot \let\'=\acute \let\==\bar \let\^=\hat \let\`=\grave \let\u=\breve \let\v=\check \let\~=\tilde \let\dotaccent=\dot % have to provide another name for sup operator \let\mathopsup=\sup $\expandafter\finishmath\fi } \def\finishmath#1{#1$\endgroup} % Close the group opened by \tex. % Some active characters (such as <) are spaced differently in math. % We have to reset their definitions in case the @math was an argument % to a command which sets the catcodes (such as @item or @section). % { \catcode`^ = \active \catcode`< = \active \catcode`> = \active \catcode`+ = \active \catcode`' = \active \gdef\mathactive{% \let^ = \ptexhat \let< = \ptexless \let> = \ptexgtr \let+ = \ptexplus \let' = \ptexquoteright } } % for @sub and @sup, if in math mode, just do a normal sub/superscript. % If in text, use math to place as sub/superscript, but switch % into text mode, with smaller fonts. This is a different font than the % one used for real math sub/superscripts (8pt vs. 7pt), but let's not % fix it (significant additions to font machinery) until someone notices. % \def\sub{\ifmmode \expandafter\sb \else \expandafter\finishsub\fi} \def\finishsub#1{$\sb{\hbox{\switchtolllsize #1}}$}% % \def\sup{\ifmmode \expandafter\ptexsp \else \expandafter\finishsup\fi} \def\finishsup#1{$\ptexsp{\hbox{\switchtolllsize #1}}$}% % provide this command from LaTeX as it is very common \def\frac#1#2{{{#1}\over{#2}}} % @displaymath. % \globaldefs is needed to recognize the end lines in \tex and % \end tex. Set \thisenv as @end displaymath is seen before @end tex. {\obeylines \globaldefs=1 \envdef\displaymath{% \tex% \def\thisenv{\displaymath}% \begingroup\let\end\displaymathend% $$% } \def\displaymathend{$$\endgroup\end}% \def\Edisplaymath{% \def\thisenv{\tex}% \end tex }} % @inlinefmt{FMTNAME,PROCESSED-TEXT} and @inlineraw{FMTNAME,RAW-TEXT}. % Ignore unless FMTNAME == tex; then it is like @iftex and @tex, % except specified as a normal braced arg, so no newlines to worry about. % \def\outfmtnametex{tex} % \long\def\inlinefmt#1{\doinlinefmt #1,\finish} \long\def\doinlinefmt#1,#2,\finish{% \def\inlinefmtname{#1}% \ifx\inlinefmtname\outfmtnametex \ignorespaces #2\fi } % % @inlinefmtifelse{FMTNAME,THEN-TEXT,ELSE-TEXT} expands THEN-TEXT if % FMTNAME is tex, else ELSE-TEXT. \long\def\inlinefmtifelse#1{\doinlinefmtifelse #1,,,\finish} \long\def\doinlinefmtifelse#1,#2,#3,#4,\finish{% \def\inlinefmtname{#1}% \ifx\inlinefmtname\outfmtnametex \ignorespaces #2\else \ignorespaces #3\fi } % % For raw, must switch into @tex before parsing the argument, to avoid % setting catcodes prematurely. Doing it this way means that, for % example, @inlineraw{html, foo{bar} gets a parse error instead of being % ignored. But this isn't important because if people want a literal % *right* brace they would have to use a command anyway, so they may as % well use a command to get a left brace too. We could re-use the % delimiter character idea from \verb, but it seems like overkill. % \long\def\inlineraw{\tex \doinlineraw} \long\def\doinlineraw#1{\doinlinerawtwo #1,\finish} \def\doinlinerawtwo#1,#2,\finish{% \def\inlinerawname{#1}% \ifx\inlinerawname\outfmtnametex \ignorespaces #2\fi \endgroup % close group opened by \tex. } % @inlineifset{VAR, TEXT} expands TEXT if VAR is @set. % \long\def\inlineifset#1{\doinlineifset #1,\finish} \long\def\doinlineifset#1,#2,\finish{% \def\inlinevarname{#1}% \expandafter\ifx\csname SET\inlinevarname\endcsname\relax \else\ignorespaces#2\fi } % @inlineifclear{VAR, TEXT} expands TEXT if VAR is not @set. % \long\def\inlineifclear#1{\doinlineifclear #1,\finish} \long\def\doinlineifclear#1,#2,\finish{% \def\inlinevarname{#1}% \expandafter\ifx\csname SET\inlinevarname\endcsname\relax \ignorespaces#2\fi } \message{glyphs,} % and logos. % @@ prints an @, as does @atchar{}. \def\@{\char64 } \let\atchar=\@ % @{ @} @lbracechar{} @rbracechar{} all generate brace characters. \def\lbracechar{{\ifmonospace\char123\else\ensuremath\lbrace\fi}} \def\rbracechar{{\ifmonospace\char125\else\ensuremath\rbrace\fi}} \let\{=\lbracechar \let\}=\rbracechar % @comma{} to avoid , parsing problems. \let\comma = , % Accents: @, @dotaccent @ringaccent @ubaraccent @udotaccent % Others are defined by plain TeX: @` @' @" @^ @~ @= @u @v @H. \let\, = \ptexc \let\dotaccent = \ptexdot \def\ringaccent#1{{\accent23 #1}} \let\tieaccent = \ptext \let\ubaraccent = \ptexb \let\udotaccent = \d % Other special characters: @questiondown @exclamdown @ordf @ordm % Plain TeX defines: @AA @AE @O @OE @L (plus lowercase versions) @ss. \def\questiondown{?`} \def\exclamdown{!`} \def\ordf{\leavevmode\raise1ex\hbox{\switchtolllsize \underbar{a}}} \def\ordm{\leavevmode\raise1ex\hbox{\switchtolllsize \underbar{o}}} % Dotless i and dotless j, used for accents. \def\imacro{i} \def\jmacro{j} \def\dotless#1{% \def\temp{#1}% \ifx\temp\imacro \ifmmode\imath \else\ptexi \fi \else\ifx\temp\jmacro \ifmmode\jmath \else\j \fi \else \errmessage{@dotless can be used only with i or j}% \fi\fi } % The \TeX{} logo, as in plain, but resetting the spacing so that a % period following counts as ending a sentence. (Idea found in latex.) % \edef\TeX{\TeX \spacefactor=1000 } % @LaTeX{} logo. Not quite the same results as the definition in % latex.ltx, since we use a different font for the raised A; it's most % convenient for us to use an explicitly smaller font, rather than using % the \scriptstyle font (since we don't reset \scriptstyle and % \scriptscriptstyle). % \def\LaTeX{% L\kern-.36em {\setbox0=\hbox{T}% \vbox to \ht0{\hbox{% \ifx\textnominalsize\xwordpt % for 10pt running text, lllsize (8pt) is too small for the A in LaTeX. % Revert to plain's \scriptsize, which is 7pt. \count255=\the\fam $\fam\count255 \scriptstyle A$% \else % For 11pt, we can use our lllsize. \switchtolllsize A% \fi }% \vss }}% \kern-.15em \TeX } % Some math mode symbols. Define \ensuremath to switch into math mode % unless we are already there. Expansion tricks may not be needed here, % but safer, and can't hurt. \def\ensuremath{\ifmmode \expandafter\asis \else\expandafter\ensuredmath \fi} \def\ensuredmath#1{$\relax#1$} % \def\bullet{\ensuremath\ptexbullet} \def\geq{\ensuremath\ge} \def\leq{\ensuremath\le} \def\minus{\ensuremath-} % @dots{} outputs an ellipsis using the current font. % We do .5em per period so that it has the same spacing in the cm % typewriter fonts as three actual period characters; on the other hand, % in other typewriter fonts three periods are wider than 1.5em. So do % whichever is larger. % \def\dots{% \leavevmode \setbox0=\hbox{...}% get width of three periods \ifdim\wd0 > 1.5em \dimen0 = \wd0 \else \dimen0 = 1.5em \fi \hbox to \dimen0{% \hskip 0pt plus.25fil .\hskip 0pt plus1fil .\hskip 0pt plus1fil .\hskip 0pt plus.5fil }% } % @enddots{} is an end-of-sentence ellipsis. % \def\enddots{% \dots \spacefactor=\endofsentencespacefactor } % @point{}, @result{}, @expansion{}, @print{}, @equiv{}. % % Since these characters are used in examples, they should be an even number of % \tt widths. Each \tt character is 1en, so two makes it 1em. % \def\point{$\star$} \def\arrow{\leavevmode\raise.05ex\hbox to 1em{\hfil$\rightarrow$\hfil}} \def\result{\leavevmode\raise.05ex\hbox to 1em{\hfil$\Rightarrow$\hfil}} \def\expansion{\leavevmode\hbox to 1em{\hfil$\mapsto$\hfil}} \def\print{\leavevmode\lower.1ex\hbox to 1em{\hfil$\dashv$\hfil}} \def\equiv{\leavevmode\hbox to 1em{\hfil$\ptexequiv$\hfil}} % The @error{} command. % Adapted from the TeXbook's \boxit. % \newbox\errorbox % {\ttfont \global\dimen0 = 3em}% Width of the box. \dimen2 = .55pt % Thickness of rules % The text. (`r' is open on the right, `e' somewhat less so on the left.) \setbox0 = \hbox{\kern-.75pt \reducedsf \putworderror\kern-1.5pt} % \setbox\errorbox=\hbox to \dimen0{\hfil \hsize = \dimen0 \advance\hsize by -5.8pt % Space to left+right. \advance\hsize by -2\dimen2 % Rules. \vbox{% \hrule height\dimen2 \hbox{\vrule width\dimen2 \kern3pt % Space to left of text. \vtop{\kern2.4pt \box0 \kern2.4pt}% Space above/below. \kern3pt\vrule width\dimen2}% Space to right. \hrule height\dimen2} \hfil} % \def\error{\leavevmode\lower.7ex\copy\errorbox} % @pounds{} is a sterling sign, which Knuth put in the CM italic font. % \def\pounds{\ifmonospace{\ecfont\char"BF}\else{\it\$}\fi} % @euro{} comes from a separate font, depending on the current style. % We use the free feym* fonts from the eurosym package by Henrik % Theiling, which support regular, slanted, bold and bold slanted (and % "outlined" (blackboard board, sort of) versions, which we don't need). % It is available from http://www.ctan.org/tex-archive/fonts/eurosym. % % Although only regular is the truly official Euro symbol, we ignore % that. The Euro is designed to be slightly taller than the regular % font height. % % feymr - regular % feymo - slanted % feybr - bold % feybo - bold slanted % % There is no good (free) typewriter version, to my knowledge. % A feymr10 euro is ~7.3pt wide, while a normal cmtt10 char is ~5.25pt wide. % Hmm. % % Also doesn't work in math. Do we need to do math with euro symbols? % Hope not. % % \def\euro{{\eurofont e}} \def\eurofont{% % We set the font at each command, rather than predefining it in % \textfonts and the other font-switching commands, so that % installations which never need the symbol don't have to have the % font installed. % % There is only one designed size (nominal 10pt), so we always scale % that to the current nominal size. % % By the way, simply using "at 1em" works for cmr10 and the like, but % does not work for cmbx10 and other extended/shrunken fonts. % \def\eurosize{\csname\curfontsize nominalsize\endcsname}% % \ifx\curfontstyle\bfstylename % bold: \font\thiseurofont = \ifusingit{feybo10}{feybr10} at \eurosize \else % regular: \font\thiseurofont = \ifusingit{feymo10}{feymr10} at \eurosize \fi \thiseurofont } % Glyphs from the EC fonts. We don't use \let for the aliases, because % sometimes we redefine the original macro, and the alias should reflect % the redefinition. % % Use LaTeX names for the Icelandic letters. \def\DH{{\ecfont \char"D0}} % Eth \def\dh{{\ecfont \char"F0}} % eth \def\TH{{\ecfont \char"DE}} % Thorn \def\th{{\ecfont \char"FE}} % thorn % \def\guillemetleft{{\ecfont \char"13}} \def\guillemotleft{\guillemetleft} \def\guillemetright{{\ecfont \char"14}} \def\guillemotright{\guillemetright} \def\guilsinglleft{{\ecfont \char"0E}} \def\guilsinglright{{\ecfont \char"0F}} \def\quotedblbase{{\ecfont \char"12}} \def\quotesinglbase{{\ecfont \char"0D}} % % This positioning is not perfect (see the ogonek LaTeX package), but % we have the precomposed glyphs for the most common cases. We put the % tests to use those glyphs in the single \ogonek macro so we have fewer % dummy definitions to worry about for index entries, etc. % % ogonek is also used with other letters in Lithuanian (IOU), but using % the precomposed glyphs for those is not so easy since they aren't in % the same EC font. \def\ogonek#1{{% \def\temp{#1}% \ifx\temp\macrocharA\Aogonek \else\ifx\temp\macrochara\aogonek \else\ifx\temp\macrocharE\Eogonek \else\ifx\temp\macrochare\eogonek \else \ecfont \setbox0=\hbox{#1}% \ifdim\ht0=1ex\accent"0C #1% \else\ooalign{\unhbox0\crcr\hidewidth\char"0C \hidewidth}% \fi \fi\fi\fi\fi }% } \def\Aogonek{{\ecfont \char"81}}\def\macrocharA{A} \def\aogonek{{\ecfont \char"A1}}\def\macrochara{a} \def\Eogonek{{\ecfont \char"86}}\def\macrocharE{E} \def\eogonek{{\ecfont \char"A6}}\def\macrochare{e} % % Use the European Computer Modern fonts (cm-super in outline format) % for non-CM glyphs. That is ec* for regular text and tc* for the text % companion symbols (LaTeX TS1 encoding). Both are part of the ec % package and follow the same conventions. % \def\ecfont{\etcfont{e}} \def\tcfont{\etcfont{t}} % \def\etcfont#1{% % We can't distinguish serif/sans and italic/slanted, but this % is used for crude hacks anyway (like adding French and German % quotes to documents typeset with CM, where we lose kerning), so % hopefully nobody will notice/care. \edef\ecsize{\csname\curfontsize ecsize\endcsname}% \edef\nominalsize{\csname\curfontsize nominalsize\endcsname}% \ifmonospace % typewriter: \font\thisecfont = #1ctt\ecsize \space at \nominalsize \else \ifx\curfontstyle\bfstylename % bold: \font\thisecfont = #1cb\ifusingit{i}{x}\ecsize \space at \nominalsize \else % regular: \font\thisecfont = #1c\ifusingit{ti}{rm}\ecsize \space at \nominalsize \fi \fi \thisecfont } % @registeredsymbol - R in a circle. The font for the R should really % be smaller yet, but lllsize is the best we can do for now. % Adapted from the plain.tex definition of \copyright. % \def\registeredsymbol{% $^{{\ooalign{\hfil\raise.07ex\hbox{\switchtolllsize R}% \hfil\crcr\Orb}}% }$% } % @textdegree - the normal degrees sign. % \def\textdegree{$^\circ$} % Laurent Siebenmann reports \Orb undefined with: % Textures 1.7.7 (preloaded format=plain 93.10.14) (68K) 16 APR 2004 02:38 % so we'll define it if necessary. % \ifx\Orb\thisisundefined \def\Orb{\mathhexbox20D} \fi % Quotes. \chardef\quoteleft=`\` \chardef\quoteright=`\' % only change font for tt for correct kerning and to avoid using % \ecfont unless necessary. \def\quotedblleft{% \ifmonospace{\ecfont\char"10}\else{\char"5C}\fi } \def\quotedblright{% \ifmonospace{\ecfont\char"11}\else{\char`\"}\fi } \message{page headings,} \newskip\titlepagetopglue \titlepagetopglue = 1.5in \newskip\titlepagebottomglue \titlepagebottomglue = 2pc % First the title page. Must do @settitle before @titlepage. \newif\ifseenauthor \newif\iffinishedtitlepage % @setcontentsaftertitlepage used to do an implicit @contents or % @shortcontents after @end titlepage, but it is now obsolete. \def\setcontentsaftertitlepage{% \errmessage{@setcontentsaftertitlepage has been removed as a Texinfo command; move your @contents command if you want the contents after the title page.}}% \def\setshortcontentsaftertitlepage{% \errmessage{@setshortcontentsaftertitlepage has been removed as a Texinfo command; move your @shortcontents and @contents commands if you want the contents after the title page.}}% \parseargdef\shorttitlepage{% \begingroup \hbox{}\vskip 1.5in \chaprm \centerline{#1}% \endgroup\page\hbox{}\page} \envdef\titlepage{% % Open one extra group, as we want to close it in the middle of \Etitlepage. \begingroup \parindent=0pt \textfonts % Leave some space at the very top of the page. \vglue\titlepagetopglue % No rule at page bottom unless we print one at the top with @title. \finishedtitlepagetrue % % Most title ``pages'' are actually two pages long, with space % at the top of the second. We don't want the ragged left on the second. \let\oldpage = \page \def\page{% \iffinishedtitlepage\else \finishtitlepage \fi \let\page = \oldpage \page \null }% } \def\Etitlepage{% \iffinishedtitlepage\else \finishtitlepage \fi % It is important to do the page break before ending the group, % because the headline and footline are only empty inside the group. % If we use the new definition of \page, we always get a blank page % after the title page, which we certainly don't want. \oldpage \endgroup % % Need this before the \...aftertitlepage checks so that if they are % in effect the toc pages will come out with page numbers. \HEADINGSon } \def\finishtitlepage{% \vskip4pt \hrule height 2pt width \hsize \vskip\titlepagebottomglue \finishedtitlepagetrue } % Settings used for typesetting titles: no hyphenation, no indentation, % don't worry much about spacing, ragged right. This should be used % inside a \vbox, and fonts need to be set appropriately first. \par should % be specified before the end of the \vbox, since a vbox is a group. % \def\raggedtitlesettings{% \rm \hyphenpenalty=10000 \parindent=0pt \tolerance=5000 \ptexraggedright } % Macros to be used within @titlepage: \let\subtitlerm=\rmfont \def\subtitlefont{\subtitlerm \normalbaselineskip = 13pt \normalbaselines} \parseargdef\title{% \checkenv\titlepage \vbox{\titlefonts \raggedtitlesettings #1\par}% % print a rule at the page bottom also. \finishedtitlepagefalse \vskip4pt \hrule height 4pt width \hsize \vskip4pt } \parseargdef\subtitle{% \checkenv\titlepage {\subtitlefont \rightline{#1}}% } % @author should come last, but may come many times. % It can also be used inside @quotation. % \parseargdef\author{% \def\temp{\quotation}% \ifx\thisenv\temp \def\quotationauthor{#1}% printed in \Equotation. \else \checkenv\titlepage \ifseenauthor\else \vskip 0pt plus 1filll \seenauthortrue \fi {\secfonts\rm \leftline{#1}}% \fi } % Set up page headings and footings. \let\thispage=\folio \newtoks\evenheadline % headline on even pages \newtoks\oddheadline % headline on odd pages \newtoks\evenchapheadline% headline on even pages with a new chapter \newtoks\oddchapheadline % headline on odd pages with a new chapter \newtoks\evenfootline % footline on even pages \newtoks\oddfootline % footline on odd pages % Now make \makeheadline and \makefootline in Plain TeX use those variables \headline={{\textfonts\rm \ifchapterpage \ifodd\pageno\the\oddchapheadline\else\the\evenchapheadline\fi \else \ifodd\pageno\the\oddheadline\else\the\evenheadline\fi \fi}} \footline={{\textfonts\rm \ifodd\pageno \the\oddfootline \else \the\evenfootline \fi}\HEADINGShook} \let\HEADINGShook=\relax % Commands to set those variables. % For example, this is what @headings on does % @evenheading @thistitle|@thispage|@thischapter % @oddheading @thischapter|@thispage|@thistitle % @evenfooting @thisfile|| % @oddfooting ||@thisfile \def\evenheading{\parsearg\evenheadingxxx} \def\evenheadingxxx #1{\evenheadingyyy #1\|\|\|\|\finish} \def\evenheadingyyy #1\|#2\|#3\|#4\finish{% \global\evenheadline={\rlap{\centerline{#2}}\line{#1\hfil#3}} \global\evenchapheadline=\evenheadline} \def\oddheading{\parsearg\oddheadingxxx} \def\oddheadingxxx #1{\oddheadingyyy #1\|\|\|\|\finish} \def\oddheadingyyy #1\|#2\|#3\|#4\finish{% \global\oddheadline={\rlap{\centerline{#2}}\line{#1\hfil#3}}% \global\oddchapheadline=\oddheadline} \parseargdef\everyheading{\oddheadingxxx{#1}\evenheadingxxx{#1}}% \def\evenfooting{\parsearg\evenfootingxxx} \def\evenfootingxxx #1{\evenfootingyyy #1\|\|\|\|\finish} \def\evenfootingyyy #1\|#2\|#3\|#4\finish{% \global\evenfootline={\rlap{\centerline{#2}}\line{#1\hfil#3}}} \def\oddfooting{\parsearg\oddfootingxxx} \def\oddfootingxxx #1{\oddfootingyyy #1\|\|\|\|\finish} \def\oddfootingyyy #1\|#2\|#3\|#4\finish{% \global\oddfootline = {\rlap{\centerline{#2}}\line{#1\hfil#3}}% % % Leave some space for the footline. Hopefully ok to assume % @evenfooting will not be used by itself. \global\advance\txipageheight by -12pt \global\advance\vsize by -12pt } \parseargdef\everyfooting{\oddfootingxxx{#1}\evenfootingxxx{#1}} % @evenheadingmarks top \thischapter <- chapter at the top of a page % @evenheadingmarks bottom \thischapter <- chapter at the bottom of a page % % The same set of arguments for: % % @oddheadingmarks % @evenfootingmarks % @oddfootingmarks % @everyheadingmarks % @everyfootingmarks % These define \getoddheadingmarks, \getevenheadingmarks, % \getoddfootingmarks, and \getevenfootingmarks, each to one of % \gettopheadingmarks, \getbottomheadingmarks. % \def\evenheadingmarks{\headingmarks{even}{heading}} \def\oddheadingmarks{\headingmarks{odd}{heading}} \def\evenfootingmarks{\headingmarks{even}{footing}} \def\oddfootingmarks{\headingmarks{odd}{footing}} \parseargdef\everyheadingmarks{\headingmarks{even}{heading}{#1} \headingmarks{odd}{heading}{#1} } \parseargdef\everyfootingmarks{\headingmarks{even}{footing}{#1} \headingmarks{odd}{footing}{#1} } % #1 = even/odd, #2 = heading/footing, #3 = top/bottom. \def\headingmarks#1#2#3 {% \expandafter\let\expandafter\temp \csname get#3headingmarks\endcsname \global\expandafter\let\csname get#1#2marks\endcsname \temp } \everyheadingmarks bottom \everyfootingmarks bottom % @headings double turns headings on for double-sided printing. % @headings single turns headings on for single-sided printing. % @headings off turns them off. % @headings on same as @headings double, retained for compatibility. % @headings after turns on double-sided headings after this page. % @headings doubleafter turns on double-sided headings after this page. % @headings singleafter turns on single-sided headings after this page. % By default, they are off at the start of a document, % and turned `on' after @end titlepage. \parseargdef\headings{\csname HEADINGS#1\endcsname} \def\headingsoff{% non-global headings elimination \evenheadline={\hfil}\evenfootline={\hfil}\evenchapheadline={\hfil}% \oddheadline={\hfil}\oddfootline={\hfil}\oddchapheadline={\hfil}% } \def\HEADINGSoff{{\globaldefs=1 \headingsoff}} % global setting \HEADINGSoff % it's the default % When we turn headings on, set the page number to 1. \def\pageone{ \global\pageno=1 \global\arabiccount = \pagecount } % For double-sided printing, put current file name in lower left corner, % chapter name on inside top of right hand pages, document % title on inside top of left hand pages, and page numbers on outside top % edge of all pages. \def\HEADINGSdouble{% \pageone \HEADINGSdoublex } \let\contentsalignmacro = \chappager % For single-sided printing, chapter title goes across top left of page, % page number on top right. \def\HEADINGSsingle{% \pageone \HEADINGSsinglex } \def\HEADINGSon{\HEADINGSdouble} \def\HEADINGSafter{\let\HEADINGShook=\HEADINGSdoublex} \let\HEADINGSdoubleafter=\HEADINGSafter \def\HEADINGSdoublex{% \global\evenfootline={\hfil} \global\oddfootline={\hfil} \global\evenheadline={\line{\folio\hfil\thistitle}} \global\oddheadline={\line{\thischapter\hfil\folio}} \global\evenchapheadline={\line{\folio\hfil}} \global\oddchapheadline={\line{\hfil\folio}} \global\let\contentsalignmacro = \chapoddpage } \def\HEADINGSsingleafter{\let\HEADINGShook=\HEADINGSsinglex} \def\HEADINGSsinglex{% \global\evenfootline={\hfil} \global\oddfootline={\hfil} \global\evenheadline={\line{\thischapter\hfil\folio}} \global\oddheadline={\line{\thischapter\hfil\folio}} \global\evenchapheadline={\line{\hfil\folio}} \global\oddchapheadline={\line{\hfil\folio}} \global\let\contentsalignmacro = \chappager } % for @setchapternewpage off \def\HEADINGSsinglechapoff{% \pageone \global\evenfootline={\hfil} \global\oddfootline={\hfil} \global\evenheadline={\line{\thischapter\hfil\folio}} \global\oddheadline={\line{\thischapter\hfil\folio}} \global\evenchapheadline=\evenheadline \global\oddchapheadline=\oddheadline \global\let\contentsalignmacro = \chappager } % Subroutines used in generating headings % This produces Day Month Year style of output. % Only define if not already defined, in case a txi-??.tex file has set % up a different format (e.g., txi-cs.tex does this). \ifx\today\thisisundefined \def\today{% \number\day\space \ifcase\month \or\putwordMJan\or\putwordMFeb\or\putwordMMar\or\putwordMApr \or\putwordMMay\or\putwordMJun\or\putwordMJul\or\putwordMAug \or\putwordMSep\or\putwordMOct\or\putwordMNov\or\putwordMDec \fi \space\number\year} \fi % @settitle line... specifies the title of the document, for headings. % It generates no output of its own. \def\thistitle{\putwordNoTitle} \def\settitle{\parsearg{\gdef\thistitle}} \message{tables,} % Tables -- @table, @ftable, @vtable, @item(x). % default indentation of table text \newdimen\tableindent \tableindent=.8in % default indentation of @itemize and @enumerate text \newdimen\itemindent \itemindent=.3in % margin between end of table item and start of table text. \newdimen\itemmargin \itemmargin=.1in % used internally for \itemindent minus \itemmargin \newdimen\itemmax % Note @table, @ftable, and @vtable define @item, @itemx, etc., with % these defs. % They also define \itemindex % to index the item name in whatever manner is desired (perhaps none). \newif\ifitemxneedsnegativevskip \def\itemxpar{\par\ifitemxneedsnegativevskip\nobreak\vskip-\parskip\nobreak\fi} \def\internalBitem{\smallbreak \parsearg\itemzzz} \def\internalBitemx{\itemxpar \parsearg\itemzzz} \def\itemzzz #1{\begingroup % \advance\hsize by -\rightskip \advance\hsize by -\tableindent \setbox0=\hbox{\itemindicate{#1}}% \itemindex{#1}% \nobreak % This prevents a break before @itemx. % % If the item text does not fit in the space we have, put it on a line % by itself, and do not allow a page break either before or after that % line. We do not start a paragraph here because then if the next % command is, e.g., @kindex, the whatsit would get put into the % horizontal list on a line by itself, resulting in extra blank space. \ifdim \wd0>\itemmax % % Make this a paragraph so we get the \parskip glue and wrapping, % but leave it ragged-right. \begingroup \advance\leftskip by-\tableindent \advance\hsize by\tableindent \advance\rightskip by0pt plus1fil\relax \leavevmode\unhbox0\par \endgroup % % We're going to be starting a paragraph, but we don't want the % \parskip glue -- logically it's part of the @item we just started. \nobreak \vskip-\parskip % % Stop a page break at the \parskip glue coming up. However, if % what follows is an environment such as @example, there will be no % \parskip glue; then the negative vskip we just inserted would % cause the example and the item to crash together. So we use this % bizarre value of 10001 as a signal to \aboveenvbreak to insert % \parskip glue after all. Section titles are handled this way also. % \penalty 10001 \endgroup \itemxneedsnegativevskipfalse \else % The item text fits into the space. Start a paragraph, so that the % following text (if any) will end up on the same line. \noindent % Do this with kerns and \unhbox so that if there is a footnote in % the item text, it can migrate to the main vertical list and % eventually be printed. \nobreak\kern-\tableindent \dimen0 = \itemmax \advance\dimen0 by \itemmargin \advance\dimen0 by -\wd0 \unhbox0 \nobreak\kern\dimen0 \endgroup \itemxneedsnegativevskiptrue \fi } \def\item{\errmessage{@item while not in a list environment}} \def\itemx{\errmessage{@itemx while not in a list environment}} % @table, @ftable, @vtable. \envdef\table{% \let\itemindex\gobble \tablecheck{table}% } \envdef\ftable{% \def\itemindex ##1{\doind {fn}{\code{##1}}}% \tablecheck{ftable}% } \envdef\vtable{% \def\itemindex ##1{\doind {vr}{\code{##1}}}% \tablecheck{vtable}% } \def\tablecheck#1{% \ifnum \the\catcode`\^^M=\active \endgroup \errmessage{This command won't work in this context; perhaps the problem is that we are \inenvironment\thisenv}% \def\next{\doignore{#1}}% \else \let\next\tablex \fi \next } \def\tablex#1{% \def\itemindicate{#1}% \parsearg\tabley } \def\tabley#1{% {% \makevalueexpandable \edef\temp{\noexpand\tablez #1\space\space\space}% \expandafter }\temp \endtablez } \def\tablez #1 #2 #3 #4\endtablez{% \aboveenvbreak \ifnum 0#1>0 \advance \leftskip by #1\mil \fi \ifnum 0#2>0 \tableindent=#2\mil \fi \ifnum 0#3>0 \advance \rightskip by #3\mil \fi \itemmax=\tableindent \advance \itemmax by -\itemmargin \advance \leftskip by \tableindent \exdentamount=\tableindent \parindent = 0pt \parskip = \smallskipamount \ifdim \parskip=0pt \parskip=2pt \fi \let\item = \internalBitem \let\itemx = \internalBitemx } \def\Etable{\endgraf\afterenvbreak} \let\Eftable\Etable \let\Evtable\Etable \let\Eitemize\Etable \let\Eenumerate\Etable % This is the counter used by @enumerate, which is really @itemize \newcount \itemno \envdef\itemize{\parsearg\doitemize} \def\doitemize#1{% \aboveenvbreak \itemmax=\itemindent \advance\itemmax by -\itemmargin \advance\leftskip by \itemindent \exdentamount=\itemindent \parindent=0pt \parskip=\smallskipamount \ifdim\parskip=0pt \parskip=2pt \fi % % Try typesetting the item mark so that if the document erroneously says % something like @itemize @samp (intending @table), there's an error % right away at the @itemize. It's not the best error message in the % world, but it's better than leaving it to the @item. This means if % the user wants an empty mark, they have to say @w{} not just @w. \def\itemcontents{#1}% \setbox0 = \hbox{\itemcontents}% % % @itemize with no arg is equivalent to @itemize @bullet. \ifx\itemcontents\empty\def\itemcontents{\bullet}\fi % \let\item=\itemizeitem } % Definition of @item while inside @itemize and @enumerate. % \def\itemizeitem{% \advance\itemno by 1 % for enumerations {\let\par=\endgraf \smallbreak}% reasonable place to break {% % If the document has an @itemize directly after a section title, a % \nobreak will be last on the list, and \sectionheading will have % done a \vskip-\parskip. In that case, we don't want to zero % parskip, or the item text will crash with the heading. On the % other hand, when there is normal text preceding the item (as there % usually is), we do want to zero parskip, or there would be too much % space. In that case, we won't have a \nobreak before. At least % that's the theory. \ifnum\lastpenalty<10000 \parskip=0in \fi \noindent \hbox to 0pt{\hss \itemcontents \kern\itemmargin}% % \ifinner\else \vadjust{\penalty 1200}% not good to break after first line of item. \fi % We can be in inner vertical mode in a footnote, although an % @itemize looks awful there. }% \flushcr } % \splitoff TOKENS\endmark defines \first to be the first token in % TOKENS, and \rest to be the remainder. % \def\splitoff#1#2\endmark{\def\first{#1}\def\rest{#2}}% % Allow an optional argument of an uppercase letter, lowercase letter, % or number, to specify the first label in the enumerated list. No % argument is the same as `1'. % \envparseargdef\enumerate{\enumeratey #1 \endenumeratey} \def\enumeratey #1 #2\endenumeratey{% % If we were given no argument, pretend we were given `1'. \def\thearg{#1}% \ifx\thearg\empty \def\thearg{1}\fi % % Detect if the argument is a single token. If so, it might be a % letter. Otherwise, the only valid thing it can be is a number. % (We will always have one token, because of the test we just made. % This is a good thing, since \splitoff doesn't work given nothing at % all -- the first parameter is undelimited.) \expandafter\splitoff\thearg\endmark \ifx\rest\empty % Only one token in the argument. It could still be anything. % A ``lowercase letter'' is one whose \lccode is nonzero. % An ``uppercase letter'' is one whose \lccode is both nonzero, and % not equal to itself. % Otherwise, we assume it's a number. % % We need the \relax at the end of the \ifnum lines to stop TeX from % continuing to look for a . % \ifnum\lccode\expandafter`\thearg=0\relax \numericenumerate % a number (we hope) \else % It's a letter. \ifnum\lccode\expandafter`\thearg=\expandafter`\thearg\relax \lowercaseenumerate % lowercase letter \else \uppercaseenumerate % uppercase letter \fi \fi \else % Multiple tokens in the argument. We hope it's a number. \numericenumerate \fi } % An @enumerate whose labels are integers. The starting integer is % given in \thearg. % \def\numericenumerate{% \itemno = \thearg \startenumeration{\the\itemno}% } % The starting (lowercase) letter is in \thearg. \def\lowercaseenumerate{% \itemno = \expandafter`\thearg \startenumeration{% % Be sure we're not beyond the end of the alphabet. \ifnum\itemno=0 \errmessage{No more lowercase letters in @enumerate; get a bigger alphabet}% \fi \char\lccode\itemno }% } % The starting (uppercase) letter is in \thearg. \def\uppercaseenumerate{% \itemno = \expandafter`\thearg \startenumeration{% % Be sure we're not beyond the end of the alphabet. \ifnum\itemno=0 \errmessage{No more uppercase letters in @enumerate; get a bigger alphabet} \fi \char\uccode\itemno }% } % Call \doitemize, adding a period to the first argument and supplying the % common last two arguments. Also subtract one from the initial value in % \itemno, since @item increments \itemno. % \def\startenumeration#1{% \advance\itemno by -1 \doitemize{#1.}\flushcr } % @multitable macros % Macros used to set up halign preamble: % \let\endsetuptable\relax \def\xendsetuptable{\endsetuptable} \let\columnfractions\relax \def\xcolumnfractions{\columnfractions} \newif\ifsetpercent % #1 is the @columnfraction, usually a decimal number like .5, but might % be just 1. We just use it, whatever it is. % \def\pickupwholefraction#1 {% \global\advance\colcount by 1 \expandafter\xdef\csname col\the\colcount\endcsname{#1\hsize}% \setuptable } \newcount\colcount \def\setuptable#1{% \def\firstarg{#1}% \ifx\firstarg\xendsetuptable \let\go = \relax \else \ifx\firstarg\xcolumnfractions \global\setpercenttrue \else \ifsetpercent \let\go\pickupwholefraction \else \global\advance\colcount by 1 \setbox0=\hbox{#1\unskip\space}% Add a normal word space as a % separator; typically that is always in the input, anyway. \expandafter\xdef\csname col\the\colcount\endcsname{\the\wd0}% \fi \fi \ifx\go\pickupwholefraction % Put the argument back for the \pickupwholefraction call, so % we'll always have a period there to be parsed. \def\go{\pickupwholefraction#1}% \else \let\go = \setuptable \fi% \fi \go } % @headitem starts a heading row, which we typeset in bold. Assignments % have to be global since we are inside the implicit group of an % alignment entry. \everycr below resets \everytab so we don't have to % undo it ourselves. \def\headitemfont{\b}% for people to use in the template row; not changeable \def\headitem{% \checkenv\multitable \crcr \gdef\headitemcrhook{\nobreak}% attempt to avoid page break after headings \global\everytab={\bf}% can't use \headitemfont since the parsing differs \the\everytab % for the first item }% % % default for tables with no headings. \let\headitemcrhook=\relax % \def\tab{\checkenv\multitable &\the\everytab}% \newtoks\everytab % insert after every tab. % \envdef\multitable{% \vskip\parskip \startsavinginserts % % @item within a multitable starts a normal row. % We use \def instead of \let so that if one of the multitable entries % contains an @itemize, we don't choke on the \item (seen as \crcr aka % \endtemplate) expanding \doitemize. \def\item{\crcr}% % \tolerance=9500 \hbadness=9500 \parskip=0pt \parindent=6pt \overfullrule=0pt \global\colcount=0 % \everycr = {% \noalign{% \global\everytab={}% Reset from possible headitem. \global\colcount=0 % Reset the column counter. % % Check for saved footnotes, etc.: \checkinserts % % Perhaps a \nobreak, then reset: \headitemcrhook \global\let\headitemcrhook=\relax }% }% % \parsearg\domultitable } \def\domultitable#1{% % To parse everything between @multitable and @item: \setuptable#1 \endsetuptable % % This preamble sets up a generic column definition, which will % be used as many times as user calls for columns. % \vtop will set a single line and will also let text wrap and % continue for many paragraphs if desired. \halign\bgroup &% \global\advance\colcount by 1 \strut \vtop{% \advance\hsize by -1\leftskip % Find the correct column width \hsize=\expandafter\csname col\the\colcount\endcsname % \rightskip=0pt \ifnum\colcount=1 \advance\hsize by\leftskip % Add indent of surrounding text \else % In order to keep entries from bumping into each other. \leftskip=12pt \ifsetpercent \else % If a template has been used \advance\hsize by \leftskip \fi \fi \noindent\ignorespaces##\unskip\strut }\cr } \def\Emultitable{% \crcr \egroup % end the \halign \global\setpercentfalse } \message{conditionals,} % @iftex, @ifnotdocbook, @ifnothtml, @ifnotinfo, @ifnotplaintext, % @ifnotxml always succeed. They currently do nothing; we don't % attempt to check whether the conditionals are properly nested. But we % have to remember that they are conditionals, so that @end doesn't % attempt to close an environment group. % \def\makecond#1{% \expandafter\let\csname #1\endcsname = \relax \expandafter\let\csname iscond.#1\endcsname = 1 } \makecond{iftex} \makecond{ifnotdocbook} \makecond{ifnothtml} \makecond{ifnotinfo} \makecond{ifnotplaintext} \makecond{ifnotxml} % Ignore @ignore, @ifhtml, @ifinfo, and the like. % \def\direntry{\doignore{direntry}} \def\documentdescription{\doignore{documentdescription}} \def\docbook{\doignore{docbook}} \def\html{\doignore{html}} \def\ifdocbook{\doignore{ifdocbook}} \def\ifhtml{\doignore{ifhtml}} \def\ifinfo{\doignore{ifinfo}} \def\ifnottex{\doignore{ifnottex}} \def\ifplaintext{\doignore{ifplaintext}} \def\ifxml{\doignore{ifxml}} \def\ignore{\doignore{ignore}} \def\menu{\doignore{menu}} \def\xml{\doignore{xml}} % Ignore text until a line `@end #1', keeping track of nested conditionals. % % A count to remember the depth of nesting. \newcount\doignorecount \def\doignore#1{\begingroup % Scan in ``verbatim'' mode: \obeylines \catcode`\@ = \other \catcode`\{ = \other \catcode`\} = \other % % Make sure that spaces turn into tokens that match what \doignoretext wants. \spaceisspace % % Count number of #1's that we've seen. \doignorecount = 0 % % Swallow text until we reach the matching `@end #1'. \dodoignore{#1}% } { \catcode`_=11 % We want to use \_STOP_ which cannot appear in texinfo source. \obeylines % % \gdef\dodoignore#1{% % #1 contains the command name as a string, e.g., `ifinfo'. % % Define a command to find the next `@end #1'. \long\def\doignoretext##1^^M@end #1{% \doignoretextyyy##1^^M@#1\_STOP_}% % % And this command to find another #1 command, at the beginning of a % line. (Otherwise, we would consider a line `@c @ifset', for % example, to count as an @ifset for nesting.) \long\def\doignoretextyyy##1^^M@#1##2\_STOP_{\doignoreyyy{##2}\_STOP_}% % % And now expand that command. \doignoretext ^^M% }% } \def\doignoreyyy#1{% \def\temp{#1}% \ifx\temp\empty % Nothing found. \let\next\doignoretextzzz \else % Found a nested condition, ... \advance\doignorecount by 1 \let\next\doignoretextyyy % ..., look for another. % If we're here, #1 ends with ^^M\ifinfo (for example). \fi \next #1% the token \_STOP_ is present just after this macro. } % We have to swallow the remaining "\_STOP_". % \def\doignoretextzzz#1{% \ifnum\doignorecount = 0 % We have just found the outermost @end. \let\next\enddoignore \else % Still inside a nested condition. \advance\doignorecount by -1 \let\next\doignoretext % Look for the next @end. \fi \next } % Finish off ignored text. { \obeylines% % Ignore anything after the last `@end #1'; this matters in verbatim % environments, where otherwise the newline after an ignored conditional % would result in a blank line in the output. \gdef\enddoignore#1^^M{\endgroup\ignorespaces}% } % @set VAR sets the variable VAR to an empty value. % @set VAR REST-OF-LINE sets VAR to the value REST-OF-LINE. % % Since we want to separate VAR from REST-OF-LINE (which might be % empty), we can't just use \parsearg; we have to insert a space of our % own to delimit the rest of the line, and then take it out again if we % didn't need it. % We rely on the fact that \parsearg sets \catcode`\ =10. % \parseargdef\set{\setyyy#1 \endsetyyy} \def\setyyy#1 #2\endsetyyy{% {% \makevalueexpandable \def\temp{#2}% \edef\next{\gdef\makecsname{SET#1}}% \ifx\temp\empty \next{}% \else \setzzz#2\endsetzzz \fi }% } % Remove the trailing space \setxxx inserted. \def\setzzz#1 \endsetzzz{\next{#1}} % @clear VAR clears (i.e., unsets) the variable VAR. % \parseargdef\clear{% {% \makevalueexpandable \global\expandafter\let\csname SET#1\endcsname=\relax }% } % @value{foo} gets the text saved in variable foo. \def\value{\begingroup\makevalueexpandable\valuexxx} \def\valuexxx#1{\expandablevalue{#1}\endgroup} { \catcode`\-=\active \catcode`\_=\active % \gdef\makevalueexpandable{% \let\value = \expandablevalue % We don't want these characters active, ... \catcode`\-=\other \catcode`\_=\other % ..., but we might end up with active ones in the argument if % we're called from @code, as @code{@value{foo-bar_}}, though. % So \let them to their normal equivalents. \let-\normaldash \let_\normalunderscore } } \def\expandablevalue#1{% \expandafter\ifx\csname SET#1\endcsname\relax {[No value for ``#1'']}% \message{Variable `#1', used in @value, is not set.}% \else \csname SET#1\endcsname \fi } % Like \expandablevalue, but completely expandable (the \message in the % definition above operates at the execution level of TeX). Used when % writing to auxiliary files, due to the expansion that \write does. % If flag is undefined, pass through an unexpanded @value command: maybe it % will be set by the time it is read back in. % % NB flag names containing - or _ may not work here. \def\dummyvalue#1{% \expandafter\ifx\csname SET#1\endcsname\relax \string\value{#1}% \else \csname SET#1\endcsname \fi } % Used for @value's in index entries to form the sort key: expand the @value % if possible, otherwise sort late. \def\indexnofontsvalue#1{% \expandafter\ifx\csname SET#1\endcsname\relax ZZZZZZZ% \else \csname SET#1\endcsname \fi } % @ifset VAR ... @end ifset reads the `...' iff VAR has been defined % with @set. % % To get the special treatment we need for `@end ifset,' we call % \makecond and then redefine. % \makecond{ifset} \def\ifset{\parsearg{\doifset{\let\next=\ifsetfail}}} \def\doifset#1#2{% {% \makevalueexpandable \let\next=\empty \expandafter\ifx\csname SET#2\endcsname\relax #1% If not set, redefine \next. \fi \expandafter }\next } \def\ifsetfail{\doignore{ifset}} % @ifclear VAR ... @end executes the `...' iff VAR has never been % defined with @set, or has been undefined with @clear. % % The `\else' inside the `\doifset' parameter is a trick to reuse the % above code: if the variable is not set, do nothing, if it is set, % then redefine \next to \ifclearfail. % \makecond{ifclear} \def\ifclear{\parsearg{\doifset{\else \let\next=\ifclearfail}}} \def\ifclearfail{\doignore{ifclear}} % @ifcommandisdefined CMD ... @end executes the `...' if CMD (written % without the @) is in fact defined. We can only feasibly check at the % TeX level, so something like `mathcode' is going to considered % defined even though it is not a Texinfo command. % \makecond{ifcommanddefined} \def\ifcommanddefined{\parsearg{\doifcmddefined{\let\next=\ifcmddefinedfail}}} % \def\doifcmddefined#1#2{{% \makevalueexpandable \let\next=\empty \expandafter\ifx\csname #2\endcsname\relax #1% If not defined, \let\next as above. \fi \expandafter }\next } \def\ifcmddefinedfail{\doignore{ifcommanddefined}} % @ifcommandnotdefined CMD ... handled similar to @ifclear above. \makecond{ifcommandnotdefined} \def\ifcommandnotdefined{% \parsearg{\doifcmddefined{\else \let\next=\ifcmdnotdefinedfail}}} \def\ifcmdnotdefinedfail{\doignore{ifcommandnotdefined}} % Set the `txicommandconditionals' variable, so documents have a way to % test if the @ifcommand...defined conditionals are available. \set txicommandconditionals % @dircategory CATEGORY -- specify a category of the dir file % which this file should belong to. Ignore this in TeX. \let\dircategory=\comment % @defininfoenclose. \let\definfoenclose=\comment \message{indexing,} % Index generation facilities % Define \newwrite to be identical to plain tex's \newwrite % except not \outer, so it can be used within macros and \if's. \edef\newwrite{\makecsname{ptexnewwrite}} % \newindex {foo} defines an index named IX. % It automatically defines \IXindex such that % \IXindex ...rest of line... puts an entry in the index IX. % It also defines \IXindfile to be the number of the output channel for % the file that accumulates this index. The file's extension is IX. % The name of an index should be no more than 2 characters long % for the sake of vms. % \def\newindex#1{% \expandafter\chardef\csname#1indfile\endcsname=0 \expandafter\xdef\csname#1index\endcsname{% % Define @#1index \noexpand\doindex{#1}} } % @defindex foo == \newindex{foo} % \def\defindex{\parsearg\newindex} % Define @defcodeindex, like @defindex except put all entries in @code. % \def\defcodeindex{\parsearg\newcodeindex} % \def\newcodeindex#1{% \expandafter\chardef\csname#1indfile\endcsname=0 \expandafter\xdef\csname#1index\endcsname{% \noexpand\docodeindex{#1}}% } % The default indices: \newindex{cp}% concepts, \newcodeindex{fn}% functions, \newcodeindex{vr}% variables, \newcodeindex{tp}% types, \newcodeindex{ky}% keys \newcodeindex{pg}% and programs. % @synindex foo bar makes index foo feed into index bar. % Do this instead of @defindex foo if you don't want it as a separate index. % % @syncodeindex foo bar similar, but put all entries made for index foo % inside @code. % \def\synindex#1 #2 {\dosynindex\doindex{#1}{#2}} \def\syncodeindex#1 #2 {\dosynindex\docodeindex{#1}{#2}} % #1 is \doindex or \docodeindex, #2 the index getting redefined (foo), % #3 the target index (bar). \def\dosynindex#1#2#3{% \requireopenindexfile{#3}% % redefine \fooindfile: \expandafter\let\expandafter\temp\expandafter=\csname#3indfile\endcsname \expandafter\let\csname#2indfile\endcsname=\temp % redefine \fooindex: \expandafter\xdef\csname#2index\endcsname{\noexpand#1{#3}}% } % Define \doindex, the driver for all index macros. % Argument #1 is generated by the calling \fooindex macro, % and it is the two-letter name of the index. \def\doindex#1{\edef\indexname{#1}\parsearg\doindexxxx} \def\doindexxxx #1{\doind{\indexname}{#1}} % like the previous two, but they put @code around the argument. \def\docodeindex#1{\edef\indexname{#1}\parsearg\docodeindexxxx} \def\docodeindexxxx #1{\docind{\indexname}{#1}} % Used for the aux, toc and index files to prevent expansion of Texinfo % commands. % \def\atdummies{% \definedummyletter\@% \definedummyletter\ % \definedummyletter\{% \definedummyletter\}% \definedummyletter\&% % % Do the redefinitions. \definedummies \otherbackslash } % \definedummyword defines \#1 as \string\#1\space, thus effectively % preventing its expansion. This is used only for control words, % not control letters, because the \space would be incorrect for % control characters, but is needed to separate the control word % from whatever follows. % % These can be used both for control words that take an argument and % those that do not. If it is followed by {arg} in the input, then % that will dutifully get written to the index (or wherever). % % For control letters, we have \definedummyletter, which omits the % space. % \def\definedummyword #1{\def#1{\string#1\space}}% \def\definedummyletter#1{\def#1{\string#1}}% \let\definedummyaccent\definedummyletter % Called from \atdummies to prevent the expansion of commands. % \def\definedummies{% % \let\commondummyword\definedummyword \let\commondummyletter\definedummyletter \let\commondummyaccent\definedummyaccent \commondummiesnofonts % \definedummyletter\_% \definedummyletter\-% % % Non-English letters. \definedummyword\AA \definedummyword\AE \definedummyword\DH \definedummyword\L \definedummyword\O \definedummyword\OE \definedummyword\TH \definedummyword\aa \definedummyword\ae \definedummyword\dh \definedummyword\exclamdown \definedummyword\l \definedummyword\o \definedummyword\oe \definedummyword\ordf \definedummyword\ordm \definedummyword\questiondown \definedummyword\ss \definedummyword\th % % Although these internal commands shouldn't show up, sometimes they do. \definedummyword\bf \definedummyword\gtr \definedummyword\hat \definedummyword\less \definedummyword\sf \definedummyword\sl \definedummyword\tclose \definedummyword\tt % \definedummyword\LaTeX \definedummyword\TeX % % Assorted special characters. \definedummyword\ampchar \definedummyword\atchar \definedummyword\arrow \definedummyword\backslashchar \definedummyword\bullet \definedummyword\comma \definedummyword\copyright \definedummyword\registeredsymbol \definedummyword\dots \definedummyword\enddots \definedummyword\entrybreak \definedummyword\equiv \definedummyword\error \definedummyword\euro \definedummyword\expansion \definedummyword\geq \definedummyword\guillemetleft \definedummyword\guillemetright \definedummyword\guilsinglleft \definedummyword\guilsinglright \definedummyword\lbracechar \definedummyword\leq \definedummyword\mathopsup \definedummyword\minus \definedummyword\ogonek \definedummyword\pounds \definedummyword\point \definedummyword\print \definedummyword\quotedblbase \definedummyword\quotedblleft \definedummyword\quotedblright \definedummyword\quoteleft \definedummyword\quoteright \definedummyword\quotesinglbase \definedummyword\rbracechar \definedummyword\result \definedummyword\sub \definedummyword\sup \definedummyword\textdegree % \definedummyword\subentry % % We want to disable all macros so that they are not expanded by \write. \macrolist \let\value\dummyvalue % \normalturnoffactive } % \commondummiesnofonts: common to \definedummies and \indexnofonts. % Define \commondummyletter, \commondummyaccent and \commondummyword before % using. Used for accents, font commands, and various control letters. % \def\commondummiesnofonts{% % Control letters and accents. \commondummyletter\!% \commondummyaccent\"% \commondummyaccent\'% \commondummyletter\*% \commondummyaccent\,% \commondummyletter\.% \commondummyletter\/% \commondummyletter\:% \commondummyaccent\=% \commondummyletter\?% \commondummyaccent\^% \commondummyaccent\`% \commondummyaccent\~% \commondummyword\u \commondummyword\v \commondummyword\H \commondummyword\dotaccent \commondummyword\ogonek \commondummyword\ringaccent \commondummyword\tieaccent \commondummyword\ubaraccent \commondummyword\udotaccent \commondummyword\dotless % % Texinfo font commands. \commondummyword\b \commondummyword\i \commondummyword\r \commondummyword\sansserif \commondummyword\sc \commondummyword\slanted \commondummyword\t % % Commands that take arguments. \commondummyword\abbr \commondummyword\acronym \commondummyword\anchor \commondummyword\cite \commondummyword\code \commondummyword\command \commondummyword\dfn \commondummyword\dmn \commondummyword\email \commondummyword\emph \commondummyword\env \commondummyword\file \commondummyword\image \commondummyword\indicateurl \commondummyword\inforef \commondummyword\kbd \commondummyword\key \commondummyword\math \commondummyword\option \commondummyword\pxref \commondummyword\ref \commondummyword\samp \commondummyword\strong \commondummyword\tie \commondummyword\U \commondummyword\uref \commondummyword\url \commondummyword\var \commondummyword\verb \commondummyword\w \commondummyword\xref } \let\indexlbrace\relax \let\indexrbrace\relax \let\indexatchar\relax \let\indexbackslash\relax {\catcode`\@=0 \catcode`\\=13 @gdef@backslashdisappear{@def\{}} } { \catcode`\<=13 \catcode`\-=13 \catcode`\`=13 \gdef\indexnonalnumdisappear{% \expandafter\ifx\csname SETtxiindexlquoteignore\endcsname\relax\else % @set txiindexlquoteignore makes us ignore left quotes in the sort term. % (Introduced for FSFS 2nd ed.) \let`=\empty \fi % \expandafter\ifx\csname SETtxiindexbackslashignore\endcsname\relax\else \backslashdisappear \fi % \expandafter\ifx\csname SETtxiindexhyphenignore\endcsname\relax\else \def-{}% \fi \expandafter\ifx\csname SETtxiindexlessthanignore\endcsname\relax\else \def<{}% \fi \expandafter\ifx\csname SETtxiindexatsignignore\endcsname\relax\else \def\@{}% \fi } \gdef\indexnonalnumreappear{% \let-\normaldash \let<\normalless } } % \indexnofonts is used when outputting the strings to sort the index % by, and when constructing control sequence names. It eliminates all % control sequences and just writes whatever the best ASCII sort string % would be for a given command (usually its argument). % \def\indexnofonts{% % Accent commands should become @asis. \def\commondummyaccent##1{\let##1\asis}% % We can just ignore other control letters. \def\commondummyletter##1{\let##1\empty}% % All control words become @asis by default; overrides below. \let\commondummyword\commondummyaccent \commondummiesnofonts % % Don't no-op \tt, since it isn't a user-level command % and is used in the definitions of the active chars like <, >, |, etc. % Likewise with the other plain tex font commands. %\let\tt=\asis % \def\ { }% \def\@{@}% \def\_{\normalunderscore}% \def\-{}% @- shouldn't affect sorting % \uccode`\1=`\{ \uppercase{\def\{{1}}% \uccode`\1=`\} \uppercase{\def\}{1}}% \let\lbracechar\{% \let\rbracechar\}% % % Non-English letters. \def\AA{AA}% \def\AE{AE}% \def\DH{DZZ}% \def\L{L}% \def\OE{OE}% \def\O{O}% \def\TH{TH}% \def\aa{aa}% \def\ae{ae}% \def\dh{dzz}% \def\exclamdown{!}% \def\l{l}% \def\oe{oe}% \def\ordf{a}% \def\ordm{o}% \def\o{o}% \def\questiondown{?}% \def\ss{ss}% \def\th{th}% % \let\do\indexnofontsdef % \do\LaTeX{LaTeX}% \do\TeX{TeX}% % % Assorted special characters. \do\atchar{@}% \do\arrow{->}% \do\bullet{bullet}% \do\comma{,}% \do\copyright{copyright}% \do\dots{...}% \do\enddots{...}% \do\equiv{==}% \do\error{error}% \do\euro{euro}% \do\expansion{==>}% \do\geq{>=}% \do\guillemetleft{<<}% \do\guillemetright{>>}% \do\guilsinglleft{<}% \do\guilsinglright{>}% \do\leq{<=}% \do\lbracechar{\{}% \do\minus{-}% \do\point{.}% \do\pounds{pounds}% \do\print{-|}% \do\quotedblbase{"}% \do\quotedblleft{"}% \do\quotedblright{"}% \do\quoteleft{`}% \do\quoteright{'}% \do\quotesinglbase{,}% \do\rbracechar{\}}% \do\registeredsymbol{R}% \do\result{=>}% \do\textdegree{o}% % % We need to get rid of all macros, leaving only the arguments (if present). % Of course this is not nearly correct, but it is the best we can do for now. % makeinfo does not expand macros in the argument to @deffn, which ends up % writing an index entry, and texindex isn't prepared for an index sort entry % that starts with \. % % Since macro invocations are followed by braces, we can just redefine them % to take a single TeX argument. The case of a macro invocation that % goes to end-of-line is not handled. % \macrolist \let\value\indexnofontsvalue } % Give the control sequence a definition that removes the {} that follows % its use, e.g. @AA{} -> AA \def\indexnofontsdef#1#2{\def#1##1{#2}}% % #1 is the index name, #2 is the entry text. \def\doind#1#2{% \iflinks {% % \requireopenindexfile{#1}% \edef\writeto{\csname#1indfile\endcsname}% % \def\indextext{#2}% \safewhatsit\doindwrite }% \fi } % Same as \doind, but for code indices \def\docind#1#2{% \iflinks {% % \requireopenindexfile{#1}% \edef\writeto{\csname#1indfile\endcsname}% % \def\indextext{#2}% \safewhatsit\docindwrite }% \fi } % Check if an index file has been opened, and if not, open it. \def\requireopenindexfile#1{% \ifnum\csname #1indfile\endcsname=0 \expandafter\newwrite \csname#1indfile\endcsname \edef\suffix{#1}% % A .fls suffix would conflict with the file extension for the output % of -recorder, so use .f1s instead. \ifx\suffix\indexisfl\def\suffix{f1}\fi % Open the file \immediate\openout\csname#1indfile\endcsname \jobname.\suffix % Using \immediate above here prevents an object entering into the current % box, which could confound checks such as those in \safewhatsit for % preceding skips. \typeout{Writing index file \jobname.\suffix}% \fi} \def\indexisfl{fl} % Definition for writing index entry sort key. { \catcode`\-=13 \gdef\indexwritesortas{% \begingroup \indexnonalnumreappear \indexwritesortasxxx} \gdef\indexwritesortasxxx#1{% \xdef\indexsortkey{#1}\endgroup} } \def\indexwriteseealso#1{ \gdef\pagenumbertext{\string\seealso{#1}}% } \def\indexwriteseeentry#1{ \gdef\pagenumbertext{\string\seeentry{#1}}% } % The default definitions \def\sortas#1{}% \def\seealso#1{\i{\putwordSeeAlso}\ #1}% for sorted index file only \def\putwordSeeAlso{See also} \def\seeentry#1{\i{\putwordSee}\ #1}% for sorted index file only % Given index entry text like "aaa @subentry bbb @sortas{ZZZ}": % * Set \bracedtext to "{aaa}{bbb}" % * Set \fullindexsortkey to "aaa @subentry ZZZ" % * If @seealso occurs, set \pagenumbertext % \def\splitindexentry#1{% \gdef\fullindexsortkey{}% \xdef\bracedtext{}% \def\sep{}% \def\seealso##1{}% \def\seeentry##1{}% \expandafter\doindexsegment#1\subentry\finish\subentry } % append the results from the next segment \def\doindexsegment#1\subentry{% \def\segment{#1}% \ifx\segment\isfinish \else % % Fully expand the segment, throwing away any @sortas directives, and % trim spaces. \edef\trimmed{\segment}% \edef\trimmed{\expandafter\eatspaces\expandafter{\trimmed}}% \ifincodeindex \edef\trimmed{\noexpand\code{\trimmed}}% \fi % \xdef\bracedtext{\bracedtext{\trimmed}}% % % Get the string to sort by. Process the segment with all % font commands turned off. \bgroup \let\sortas\indexwritesortas \let\seealso\indexwriteseealso \let\seeentry\indexwriteseeentry \indexnofonts % The braces around the commands are recognized by texindex. \def\lbracechar{{\string\indexlbrace}}% \def\rbracechar{{\string\indexrbrace}}% \let\{=\lbracechar \let\}=\rbracechar \def\@{{\string\indexatchar}}% \def\atchar##1{\@}% \def\backslashchar{{\string\indexbackslash}}% \uccode`\~=`\\ \uppercase{\let~\backslashchar}% % \let\indexsortkey\empty \global\let\pagenumbertext\empty % Execute the segment and throw away the typeset output. This executes % any @sortas or @seealso commands in this segment. \setbox\dummybox = \hbox{\segment}% \ifx\indexsortkey\empty{% \indexnonalnumdisappear \xdef\trimmed{\segment}% \xdef\trimmed{\expandafter\eatspaces\expandafter{\trimmed}}% \xdef\indexsortkey{\trimmed}% \ifx\indexsortkey\empty\xdef\indexsortkey{ }\fi }\fi % % Append to \fullindexsortkey. \edef\tmp{\gdef\noexpand\fullindexsortkey{% \fullindexsortkey\sep\indexsortkey}}% \tmp \egroup \def\sep{\subentry}% % \expandafter\doindexsegment \fi } \def\isfinish{\finish}% \newbox\dummybox % used above \let\subentry\relax % Use \ instead of @ in index files. To support old texi2dvi and texindex. % This works without changing the escape character used in the toc or aux % files because the index entries are fully expanded here, and \string uses % the current value of \escapechar. \def\escapeisbackslash{\escapechar=`\\} % Use \ in index files by default. texi2dvi didn't support @ as the escape % character (as it checked for "\entry" in the files, and not "@entry"). When % the new version of texi2dvi has had a chance to become more prevalent, then % the escape character can change back to @ again. This should be an easy % change to make now because both @ and \ are only used as escape characters in % index files, never standing for themselves. % \set txiindexescapeisbackslash % Write the entry in \indextext to the index file. % \newif\ifincodeindex \def\doindwrite{\incodeindexfalse\doindwritex} \def\docindwrite{\incodeindextrue\doindwritex} \def\doindwritex{% \maybemarginindex % \atdummies % \expandafter\ifx\csname SETtxiindexescapeisbackslash\endcsname\relax\else \escapeisbackslash \fi % % For texindex which always views { and } as separators. \def\{{\lbracechar{}}% \def\}{\rbracechar{}}% \uccode`\~=`\\ \uppercase{\def~{\backslashchar{}}}% % % Split the entry into primary entry and any subentries, and get the index % sort key. \splitindexentry\indextext % % Set up the complete index entry, with both the sort key and % the original text, including any font commands. We write % three arguments to \entry to the .?? file (four in the % subentry case), texindex reduces to two when writing the .??s % sorted result. % \edef\temp{% \write\writeto{% \string\entry{\fullindexsortkey}% {\ifx\pagenumbertext\empty\noexpand\folio\else\pagenumbertext\fi}% \bracedtext}% }% \temp } % Put the index entry in the margin if desired (undocumented). \def\maybemarginindex{% \ifx\SETmarginindex\relax\else \insert\margin{\hbox{\vrule height8pt depth3pt width0pt \relax\indextext}}% \fi } \let\SETmarginindex=\relax % Take care of unwanted page breaks/skips around a whatsit: % % If a skip is the last thing on the list now, preserve it % by backing up by \lastskip, doing the \write, then inserting % the skip again. Otherwise, the whatsit generated by the % \write or \pdfdest will make \lastskip zero. The result is that % sequences like this: % @end defun % @tindex whatever % @defun ... % will have extra space inserted, because the \medbreak in the % start of the @defun won't see the skip inserted by the @end of % the previous defun. % % But don't do any of this if we're not in vertical mode. We % don't want to do a \vskip and prematurely end a paragraph. % % Avoid page breaks due to these extra skips, too. % % But wait, there is a catch there: % We'll have to check whether \lastskip is zero skip. \ifdim is not % sufficient for this purpose, as it ignores stretch and shrink parts % of the skip. The only way seems to be to check the textual % representation of the skip. % % The following is almost like \def\zeroskipmacro{0.0pt} except that % the ``p'' and ``t'' characters have catcode \other, not 11 (letter). % \edef\zeroskipmacro{\expandafter\the\csname z@skip\endcsname} % \newskip\whatsitskip \newcount\whatsitpenalty % % ..., ready, GO: % \def\safewhatsit#1{\ifhmode #1% \else % \lastskip and \lastpenalty cannot both be nonzero simultaneously. \whatsitskip = \lastskip \edef\lastskipmacro{\the\lastskip}% \whatsitpenalty = \lastpenalty % % If \lastskip is nonzero, that means the last item was a % skip. And since a skip is discardable, that means this % -\whatsitskip glue we're inserting is preceded by a % non-discardable item, therefore it is not a potential % breakpoint, therefore no \nobreak needed. \ifx\lastskipmacro\zeroskipmacro \else \vskip-\whatsitskip \fi % #1% % \ifx\lastskipmacro\zeroskipmacro % If \lastskip was zero, perhaps the last item was a penalty, and % perhaps it was >=10000, e.g., a \nobreak. In that case, we want % to re-insert the same penalty (values >10000 are used for various % signals); since we just inserted a non-discardable item, any % following glue (such as a \parskip) would be a breakpoint. For example: % @deffn deffn-whatever % @vindex index-whatever % Description. % would allow a break between the index-whatever whatsit % and the "Description." paragraph. \ifnum\whatsitpenalty>9999 \penalty\whatsitpenalty \fi \else % On the other hand, if we had a nonzero \lastskip, % this make-up glue would be preceded by a non-discardable item % (the whatsit from the \write), so we must insert a \nobreak. \nobreak\vskip\whatsitskip \fi \fi} % The index entry written in the file actually looks like % \entry {sortstring}{page}{topic} % or % \entry {sortstring}{page}{topic}{subtopic} % The texindex program reads in these files and writes files % containing these kinds of lines: % \initial {c} % before the first topic whose initial is c % \entry {topic}{pagelist} % for a topic that is used without subtopics % \primary {topic} % \entry {topic}{} % for the beginning of a topic that is used with subtopics % \secondary {subtopic}{pagelist} % for each subtopic. % \secondary {subtopic}{} % for a subtopic with sub-subtopics % \tertiary {subtopic}{subsubtopic}{pagelist} % for each sub-subtopic. % Define the user-accessible indexing commands % @findex, @vindex, @kindex, @cindex. \def\findex {\fnindex} \def\kindex {\kyindex} \def\cindex {\cpindex} \def\vindex {\vrindex} \def\tindex {\tpindex} \def\pindex {\pgindex} % Define the macros used in formatting output of the sorted index material. % @printindex causes a particular index (the ??s file) to get printed. % It does not print any chapter heading (usually an @unnumbered). % \parseargdef\printindex{\begingroup \dobreak \chapheadingskip{10000}% % \smallfonts \rm \tolerance = 9500 \plainfrenchspacing \everypar = {}% don't want the \kern\-parindent from indentation suppression. % % See comment in \requireopenindexfile. \def\indexname{#1}\ifx\indexname\indexisfl\def\indexname{f1}\fi % % See if the index file exists and is nonempty. \openin 1 \jobname.\indexname s \ifeof 1 % \enddoublecolumns gets confused if there is no text in the index, % and it loses the chapter title and the aux file entries for the % index. The easiest way to prevent this problem is to make sure % there is some text. \putwordIndexNonexistent \typeout{No file \jobname.\indexname s.}% \else % If the index file exists but is empty, then \openin leaves \ifeof % false. We have to make TeX try to read something from the file, so % it can discover if there is anything in it. \read 1 to \thisline \ifeof 1 \putwordIndexIsEmpty \else \expandafter\printindexzz\thisline\relax\relax\finish% \fi \fi \closein 1 \endgroup} % If the index file starts with a backslash, forgo reading the index % file altogether. If somebody upgrades texinfo.tex they may still have % old index files using \ as the escape character. Reading this would % at best lead to typesetting garbage, at worst a TeX syntax error. \def\printindexzz#1#2\finish{% \expandafter\ifx\csname SETtxiindexescapeisbackslash\endcsname\relax \uccode`\~=`\\ \uppercase{\if\noexpand~}\noexpand#1 \expandafter\ifx\csname SETtxiskipindexfileswithbackslash\endcsname\relax \errmessage{% ERROR: A sorted index file in an obsolete format was skipped. To fix this problem, please upgrade your version of 'texi2dvi' or 'texi2pdf' to that at . If you are using an old version of 'texindex' (part of the Texinfo distribution), you may also need to upgrade to a newer version (at least 6.0). You may be able to typeset the index if you run 'texindex \jobname.\indexname' yourself. You could also try setting the 'txiindexescapeisbackslash' flag by running a command like 'texi2dvi -t "@set txiindexescapeisbackslash" \jobname.texi'. If you do this, Texinfo will try to use index files in the old format. If you continue to have problems, deleting the index files and starting again might help (with 'rm \jobname.?? \jobname.??s')% }% \else (Skipped sorted index file in obsolete format) \fi \else \begindoublecolumns \input \jobname.\indexname s \enddoublecolumns \fi \else \begindoublecolumns \catcode`\\=0\relax % % Make @ an escape character to give macros a chance to work. This % should work because we (hopefully) don't otherwise use @ in index files. %\catcode`\@=12\relax \catcode`\@=0\relax \input \jobname.\indexname s \enddoublecolumns \fi } % These macros are used by the sorted index file itself. % Change them to control the appearance of the index. {\catcode`\/=13 \catcode`\-=13 \catcode`\^=13 \catcode`\~=13 \catcode`\_=13 \catcode`\|=13 \catcode`\<=13 \catcode`\>=13 \catcode`\+=13 \catcode`\"=13 \catcode`\$=3 \gdef\initialglyphs{% % special control sequences used in the index sort key \let\indexlbrace\{% \let\indexrbrace\}% \let\indexatchar\@% \def\indexbackslash{\math{\backslash}}% % % Some changes for non-alphabetic characters. Using the glyphs from the % math fonts looks more consistent than the typewriter font used elsewhere % for these characters. \uccode`\~=`\\ \uppercase{\def~{\math{\backslash}}} % % In case @\ is used for backslash \uppercase{\let\\=~} % Can't get bold backslash so don't use bold forward slash \catcode`\/=13 \def/{{\secrmnotbold \normalslash}}% \def-{{\normaldash\normaldash}}% en dash `--' \def^{{\chapbf \normalcaret}}% \def~{{\chapbf \normaltilde}}% \def\_{% \leavevmode \kern.07em \vbox{\hrule width.3em height.1ex}\kern .07em }% \def|{$\vert$}% \def<{$\less$}% \def>{$\gtr$}% \def+{$\normalplus$}% }} \def\initial{% \bgroup \initialglyphs \initialx } \def\initialx#1{% % Remove any glue we may have, we'll be inserting our own. \removelastskip % % We like breaks before the index initials, so insert a bonus. % The glue before the bonus allows a little bit of space at the % bottom of a column to reduce an increase in inter-line spacing. \nobreak \vskip 0pt plus 5\baselineskip \penalty -300 \vskip 0pt plus -5\baselineskip % % Typeset the initial. Making this add up to a whole number of % baselineskips increases the chance of the dots lining up from column % to column. It still won't often be perfect, because of the stretch % we need before each entry, but it's better. % % No shrink because it confuses \balancecolumns. \vskip 1.67\baselineskip plus 1\baselineskip \leftline{\secfonts \kern-0.05em \secbf #1}% % \secfonts is inside the argument of \leftline so that the change of % \baselineskip will not affect any glue inserted before the vbox that % \leftline creates. % Do our best not to break after the initial. \nobreak \vskip .33\baselineskip plus .1\baselineskip \egroup % \initialglyphs } \newdimen\entryrightmargin \entryrightmargin=0pt % \entry typesets a paragraph consisting of the text (#1), dot leaders, and % then page number (#2) flushed to the right margin. It is used for index % and table of contents entries. The paragraph is indented by \leftskip. % \def\entry{% \begingroup % % Start a new paragraph if necessary, so our assignments below can't % affect previous text. \par % % No extra space above this paragraph. \parskip = 0in % % When reading the text of entry, convert explicit line breaks % from @* into spaces. The user might give these in long section % titles, for instance. \def\*{\unskip\space\ignorespaces}% \def\entrybreak{\hfil\break}% An undocumented command % % Swallow the left brace of the text (first parameter): \afterassignment\doentry \let\temp = } \def\entrybreak{\unskip\space\ignorespaces}% \def\doentry{% % Save the text of the entry \global\setbox\boxA=\hbox\bgroup \bgroup % Instead of the swallowed brace. \noindent \aftergroup\finishentry % And now comes the text of the entry. % Not absorbing as a macro argument reduces the chance of problems % with catcodes occurring. } {\catcode`\@=11 \gdef\finishentry#1{% \egroup % end box A \dimen@ = \wd\boxA % Length of text of entry \global\setbox\boxA=\hbox\bgroup \unhbox\boxA % #1 is the page number. % % Get the width of the page numbers, and only use % leaders if they are present. \global\setbox\boxB = \hbox{#1}% \ifdim\wd\boxB = 0pt \null\nobreak\hfill\ % \else % \null\nobreak\indexdotfill % Have leaders before the page number. % \ifpdforxetex \pdfgettoks#1.% \hskip\skip\thinshrinkable\the\toksA \else \hskip\skip\thinshrinkable #1% \fi \fi \egroup % end \boxA \ifdim\wd\boxB = 0pt \noindent\unhbox\boxA\par \nobreak \else\bgroup % We want the text of the entries to be aligned to the left, and the % page numbers to be aligned to the right. % \parindent = 0pt \advance\leftskip by 0pt plus 1fil \advance\leftskip by 0pt plus -1fill \rightskip = 0pt plus -1fil \advance\rightskip by 0pt plus 1fill % Cause last line, which could consist of page numbers on their own % if the list of page numbers is long, to be aligned to the right. \parfillskip=0pt plus -1fill % \advance\rightskip by \entryrightmargin % Determine how far we can stretch into the margin. % This allows, e.g., "Appendix H GNU Free Documentation License" to % fit on one line in @letterpaper format. \ifdim\entryrightmargin>2.1em \dimen@i=2.1em \else \dimen@i=0em \fi \advance \parfillskip by 0pt minus 1\dimen@i % \dimen@ii = \hsize \advance\dimen@ii by -1\leftskip \advance\dimen@ii by -1\entryrightmargin \advance\dimen@ii by 1\dimen@i \ifdim\wd\boxA > \dimen@ii % If the entry doesn't fit in one line \ifdim\dimen@ > 0.8\dimen@ii % due to long index text % Try to split the text roughly evenly. \dimen@ will be the length of % the first line. \dimen@ = 0.7\dimen@ \dimen@ii = \hsize \ifnum\dimen@>\dimen@ii % If the entry is too long (for example, if it needs more than % two lines), use all the space in the first line. \dimen@ = \dimen@ii \fi \advance\leftskip by 0pt plus 1fill % ragged right \advance \dimen@ by 1\rightskip \parshape = 2 0pt \dimen@ 0em \dimen@ii % Ideally we'd add a finite glue at the end of the first line only, % instead of using \parshape with explicit line lengths, but TeX % doesn't seem to provide a way to do such a thing. % % Indent all lines but the first one. \advance\leftskip by 1em \advance\parindent by -1em \fi\fi \indent % start paragraph \unhbox\boxA % % Do not prefer a separate line ending with a hyphen to fewer lines. \finalhyphendemerits = 0 % % Word spacing - no stretch \spaceskip=\fontdimen2\font minus \fontdimen4\font % \linepenalty=1000 % Discourage line breaks. \hyphenpenalty=5000 % Discourage hyphenation. % \par % format the paragraph \egroup % The \vbox \fi \endgroup }} \newskip\thinshrinkable \skip\thinshrinkable=.15em minus .15em % Like plain.tex's \dotfill, except uses up at least 1 em. % The filll stretch here overpowers both the fil and fill stretch to push % the page number to the right. \def\indexdotfill{\cleaders \hbox{$\mathsurround=0pt \mkern1.5mu.\mkern1.5mu$}\hskip 1em plus 1filll} \def\primary #1{\line{#1\hfil}} \def\secondary{\indententry{0.5cm}} \def\tertiary{\indententry{1cm}} \def\indententry#1#2#3{% \bgroup \leftskip=#1 \entry{#2}{#3}% \egroup } % Define two-column mode, which we use to typeset indexes. % Adapted from the TeXbook, page 416, which is to say, % the manmac.tex format used to print the TeXbook itself. \catcode`\@=11 % private names \newbox\partialpage \newdimen\doublecolumnhsize \def\begindoublecolumns{\begingroup % ended by \enddoublecolumns % If not much space left on page, start a new page. \ifdim\pagetotal>0.8\vsize\vfill\eject\fi % % Grab any single-column material above us. \output = {% \savetopmark % \global\setbox\partialpage = \vbox{% % Unvbox the main output page. \unvbox\PAGE \kern-\topskip \kern\baselineskip }% }% \eject % run that output routine to set \partialpage % % Use the double-column output routine for subsequent pages. \output = {\doublecolumnout}% % % Change the page size parameters. We could do this once outside this % routine, in each of @smallbook, @afourpaper, and the default 8.5x11 % format, but then we repeat the same computation. Repeating a couple % of assignments once per index is clearly meaningless for the % execution time, so we may as well do it in one place. % % First we halve the line length, less a little for the gutter between % the columns. We compute the gutter based on the line length, so it % changes automatically with the paper format. The magic constant % below is chosen so that the gutter has the same value (well, +-<1pt) % as it did when we hard-coded it. % % We put the result in a separate register, \doublecolumhsize, so we % can restore it in \pagesofar, after \hsize itself has (potentially) % been clobbered. % \doublecolumnhsize = \hsize \advance\doublecolumnhsize by -.04154\hsize \divide\doublecolumnhsize by 2 \hsize = \doublecolumnhsize % % Get the available space for the double columns -- the normal % (undoubled) page height minus any material left over from the % previous page. \advance\vsize by -\ht\partialpage \vsize = 2\vsize % % For the benefit of balancing columns \advance\baselineskip by 0pt plus 0.5pt } % The double-column output routine for all double-column pages except % the last, which is done by \balancecolumns. % \def\doublecolumnout{% % \savetopmark \splittopskip=\topskip \splitmaxdepth=\maxdepth \dimen@ = \vsize \divide\dimen@ by 2 % % box0 will be the left-hand column, box2 the right. \setbox0=\vsplit\PAGE to\dimen@ \setbox2=\vsplit\PAGE to\dimen@ \global\advance\vsize by 2\ht\partialpage \onepageout\pagesofar % empty except for the first time we are called \unvbox\PAGE \penalty\outputpenalty } % % Re-output the contents of the output page -- any previous material, % followed by the two boxes we just split, in box0 and box2. \def\pagesofar{% \unvbox\partialpage % \hsize = \doublecolumnhsize \wd0=\hsize \wd2=\hsize \hbox to\txipagewidth{\box0\hfil\box2}% } % Finished with double columns. \def\enddoublecolumns{% % The following penalty ensures that the page builder is exercised % _before_ we change the output routine. This is necessary in the % following situation: % % The last section of the index consists only of a single entry. % Before this section, \pagetotal is less than \pagegoal, so no % break occurs before the last section starts. However, the last % section, consisting of \initial and the single \entry, does not % fit on the page and has to be broken off. Without the following % penalty the page builder will not be exercised until \eject % below, and by that time we'll already have changed the output % routine to the \balancecolumns version, so the next-to-last % double-column page will be processed with \balancecolumns, which % is wrong: The two columns will go to the main vertical list, with % the broken-off section in the recent contributions. As soon as % the output routine finishes, TeX starts reconsidering the page % break. The two columns and the broken-off section both fit on the % page, because the two columns now take up only half of the page % goal. When TeX sees \eject from below which follows the final % section, it invokes the new output routine that we've set after % \balancecolumns below; \onepageout will try to fit the two columns % and the final section into the vbox of \txipageheight (see % \pagebody), causing an overfull box. % % Note that glue won't work here, because glue does not exercise the % page builder, unlike penalties (see The TeXbook, pp. 280-281). \penalty0 % \output = {% % Split the last of the double-column material. \savetopmark \balancecolumns }% \eject % call the \output just set \ifdim\pagetotal=0pt % Having called \balancecolumns once, we do not % want to call it again. Therefore, reset \output to its normal % definition right away. \global\output=\expandafter{\the\defaultoutput} % \endgroup % started in \begindoublecolumns % Leave the double-column material on the current page, no automatic % page break. \box\balancedcolumns % % \pagegoal was set to the doubled \vsize above, since we restarted % the current page. We're now back to normal single-column % typesetting, so reset \pagegoal to the normal \vsize. \global\vsize = \txipageheight % \pagegoal = \txipageheight % \else % We had some left-over material. This might happen when \doublecolumnout % is called in \balancecolumns. Try again. \expandafter\enddoublecolumns \fi } \newbox\balancedcolumns \setbox\balancedcolumns=\vbox{shouldnt see this}% % % Only called for the last of the double column material. \doublecolumnout % does the others. \def\balancecolumns{% \setbox0 = \vbox{\unvbox\PAGE}% like \box255 but more efficient, see p.120. \dimen@ = \ht0 \ifdim\dimen@<7\baselineskip % Don't split a short final column in two. \setbox2=\vbox{}% \global\setbox\balancedcolumns=\vbox{\pagesofar}% \else % double the leading vertical space \advance\dimen@ by \topskip \advance\dimen@ by-\baselineskip \divide\dimen@ by 2 % target to split to \dimen@ii = \dimen@ \splittopskip = \topskip % Loop until left column is at least as high as the right column. {% \vbadness = 10000 \loop \global\setbox3 = \copy0 \global\setbox1 = \vsplit3 to \dimen@ \ifdim\ht1<\ht3 \global\advance\dimen@ by 1pt \repeat }% % Now the left column is in box 1, and the right column in box 3. % % Check whether the left column has come out higher than the page itself. % (Note that we have doubled \vsize for the double columns, so % the actual height of the page is 0.5\vsize). \ifdim2\ht1>\vsize % It appears that we have been called upon to balance too much material. % Output some of it with \doublecolumnout, leaving the rest on the page. \setbox\PAGE=\box0 \doublecolumnout \else % Compare the heights of the two columns. \ifdim4\ht1>5\ht3 % Column heights are too different, so don't make their bottoms % flush with each other. \setbox2=\vbox to \ht1 {\unvbox3\vfill}% \setbox0=\vbox to \ht1 {\unvbox1\vfill}% \else % Make column bottoms flush with each other. \setbox2=\vbox to\ht1{\unvbox3\unskip}% \setbox0=\vbox to\ht1{\unvbox1\unskip}% \fi \global\setbox\balancedcolumns=\vbox{\pagesofar}% \fi \fi % } \catcode`\@ = \other \message{sectioning,} % Chapters, sections, etc. % Let's start with @part. \outer\parseargdef\part{\partzzz{#1}} \def\partzzz#1{% \chapoddpage \null \vskip.3\vsize % move it down on the page a bit \begingroup \noindent \titlefonts\rm #1\par % the text \let\lastnode=\empty % no node to associate with \writetocentry{part}{#1}{}% but put it in the toc \headingsoff % no headline or footline on the part page % This outputs a mark at the end of the page that clears \thischapter % and \thissection, as is done in \startcontents. \let\pchapsepmacro\relax \chapmacro{}{Yomitfromtoc}{}% \chapoddpage \endgroup } % \unnumberedno is an oxymoron. But we count the unnumbered % sections so that we can refer to them unambiguously in the pdf % outlines by their "section number". We avoid collisions with chapter % numbers by starting them at 10000. (If a document ever has 10000 % chapters, we're in trouble anyway, I'm sure.) \newcount\unnumberedno \unnumberedno = 10000 \newcount\chapno \newcount\secno \secno=0 \newcount\subsecno \subsecno=0 \newcount\subsubsecno \subsubsecno=0 % This counter is funny since it counts through charcodes of letters A, B, ... \newcount\appendixno \appendixno = `\@ % % \def\appendixletter{\char\the\appendixno} % We do the following ugly conditional instead of the above simple % construct for the sake of pdftex, which needs the actual % letter in the expansion, not just typeset. % \def\appendixletter{% \ifnum\appendixno=`A A% \else\ifnum\appendixno=`B B% \else\ifnum\appendixno=`C C% \else\ifnum\appendixno=`D D% \else\ifnum\appendixno=`E E% \else\ifnum\appendixno=`F F% \else\ifnum\appendixno=`G G% \else\ifnum\appendixno=`H H% \else\ifnum\appendixno=`I I% \else\ifnum\appendixno=`J J% \else\ifnum\appendixno=`K K% \else\ifnum\appendixno=`L L% \else\ifnum\appendixno=`M M% \else\ifnum\appendixno=`N N% \else\ifnum\appendixno=`O O% \else\ifnum\appendixno=`P P% \else\ifnum\appendixno=`Q Q% \else\ifnum\appendixno=`R R% \else\ifnum\appendixno=`S S% \else\ifnum\appendixno=`T T% \else\ifnum\appendixno=`U U% \else\ifnum\appendixno=`V V% \else\ifnum\appendixno=`W W% \else\ifnum\appendixno=`X X% \else\ifnum\appendixno=`Y Y% \else\ifnum\appendixno=`Z Z% % The \the is necessary, despite appearances, because \appendixletter is % expanded while writing the .toc file. \char\appendixno is not % expandable, thus it is written literally, thus all appendixes come out % with the same letter (or @) in the toc without it. \else\char\the\appendixno \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi} % Each @chapter defines these (using marks) as the number+name, number % and name of the chapter. Page headings and footings can use % these. @section does likewise. \def\thischapter{} \def\thischapternum{} \def\thischaptername{} \def\thissection{} \def\thissectionnum{} \def\thissectionname{} \newcount\absseclevel % used to calculate proper heading level \newcount\secbase\secbase=0 % @raisesections/@lowersections modify this count % @raisesections: treat @section as chapter, @subsection as section, etc. \def\raisesections{\global\advance\secbase by -1} % @lowersections: treat @chapter as section, @section as subsection, etc. \def\lowersections{\global\advance\secbase by 1} % we only have subsub. \chardef\maxseclevel = 3 % % A numbered section within an unnumbered changes to unnumbered too. % To achieve this, remember the "biggest" unnum. sec. we are currently in: \chardef\unnlevel = \maxseclevel % % Trace whether the current chapter is an appendix or not: % \chapheadtype is "N" or "A", unnumbered chapters are ignored. \def\chapheadtype{N} % Choose a heading macro % #1 is heading type % #2 is heading level % #3 is text for heading \def\genhead#1#2#3{% % Compute the abs. sec. level: \absseclevel=#2 \advance\absseclevel by \secbase % Make sure \absseclevel doesn't fall outside the range: \ifnum \absseclevel < 0 \absseclevel = 0 \else \ifnum \absseclevel > 3 \absseclevel = 3 \fi \fi % The heading type: \def\headtype{#1}% \if \headtype U% \ifnum \absseclevel < \unnlevel \chardef\unnlevel = \absseclevel \fi \else % Check for appendix sections: \ifnum \absseclevel = 0 \edef\chapheadtype{\headtype}% \else \if \headtype A\if \chapheadtype N% \errmessage{@appendix... within a non-appendix chapter}% \fi\fi \fi % Check for numbered within unnumbered: \ifnum \absseclevel > \unnlevel \def\headtype{U}% \else \chardef\unnlevel = 3 \fi \fi % Now print the heading: \if \headtype U% \ifcase\absseclevel \unnumberedzzz{#3}% \or \unnumberedseczzz{#3}% \or \unnumberedsubseczzz{#3}% \or \unnumberedsubsubseczzz{#3}% \fi \else \if \headtype A% \ifcase\absseclevel \appendixzzz{#3}% \or \appendixsectionzzz{#3}% \or \appendixsubseczzz{#3}% \or \appendixsubsubseczzz{#3}% \fi \else \ifcase\absseclevel \chapterzzz{#3}% \or \seczzz{#3}% \or \numberedsubseczzz{#3}% \or \numberedsubsubseczzz{#3}% \fi \fi \fi \suppressfirstparagraphindent } % an interface: \def\numhead{\genhead N} \def\apphead{\genhead A} \def\unnmhead{\genhead U} % @chapter, @appendix, @unnumbered. Increment top-level counter, reset % all lower-level sectioning counters to zero. % % Also set \chaplevelprefix, which we prepend to @float sequence numbers % (e.g., figures), q.v. By default (before any chapter), that is empty. \let\chaplevelprefix = \empty % \outer\parseargdef\chapter{\numhead0{#1}} % normally numhead0 calls chapterzzz \def\chapterzzz#1{% % section resetting is \global in case the chapter is in a group, such % as an @include file. \global\secno=0 \global\subsecno=0 \global\subsubsecno=0 \global\advance\chapno by 1 % % Used for \float. \gdef\chaplevelprefix{\the\chapno.}% \resetallfloatnos % % \putwordChapter can contain complex things in translations. \toks0=\expandafter{\putwordChapter}% \message{\the\toks0 \space \the\chapno}% % % Write the actual heading. \chapmacro{#1}{Ynumbered}{\the\chapno}% % % So @section and the like are numbered underneath this chapter. \global\let\section = \numberedsec \global\let\subsection = \numberedsubsec \global\let\subsubsection = \numberedsubsubsec } \outer\parseargdef\appendix{\apphead0{#1}} % normally calls appendixzzz % \def\appendixzzz#1{% \global\secno=0 \global\subsecno=0 \global\subsubsecno=0 \global\advance\appendixno by 1 \gdef\chaplevelprefix{\appendixletter.}% \resetallfloatnos % % \putwordAppendix can contain complex things in translations. \toks0=\expandafter{\putwordAppendix}% \message{\the\toks0 \space \appendixletter}% % \chapmacro{#1}{Yappendix}{\appendixletter}% % \global\let\section = \appendixsec \global\let\subsection = \appendixsubsec \global\let\subsubsection = \appendixsubsubsec } % normally unnmhead0 calls unnumberedzzz: \outer\parseargdef\unnumbered{\unnmhead0{#1}} \def\unnumberedzzz#1{% \global\secno=0 \global\subsecno=0 \global\subsubsecno=0 \global\advance\unnumberedno by 1 % % Since an unnumbered has no number, no prefix for figures. \global\let\chaplevelprefix = \empty \resetallfloatnos % % This used to be simply \message{#1}, but TeX fully expands the % argument to \message. Therefore, if #1 contained @-commands, TeX % expanded them. For example, in `@unnumbered The @cite{Book}', TeX % expanded @cite (which turns out to cause errors because \cite is meant % to be executed, not expanded). % % Anyway, we don't want the fully-expanded definition of @cite to appear % as a result of the \message, we just want `@cite' itself. We use % \the to achieve this: TeX expands \the only once, % simply yielding the contents of . (We also do this for % the toc entries.) \toks0 = {#1}% \message{(\the\toks0)}% % \chapmacro{#1}{Ynothing}{\the\unnumberedno}% % \global\let\section = \unnumberedsec \global\let\subsection = \unnumberedsubsec \global\let\subsubsection = \unnumberedsubsubsec } % @centerchap is like @unnumbered, but the heading is centered. \outer\parseargdef\centerchap{% \let\centerparametersmaybe = \centerparameters \unnmhead0{#1}% \let\centerparametersmaybe = \relax } % @top is like @unnumbered. \let\top\unnumbered % Sections. % \outer\parseargdef\numberedsec{\numhead1{#1}} % normally calls seczzz \def\seczzz#1{% \global\subsecno=0 \global\subsubsecno=0 \global\advance\secno by 1 \sectionheading{#1}{sec}{Ynumbered}{\the\chapno.\the\secno}% } % normally calls appendixsectionzzz: \outer\parseargdef\appendixsection{\apphead1{#1}} \def\appendixsectionzzz#1{% \global\subsecno=0 \global\subsubsecno=0 \global\advance\secno by 1 \sectionheading{#1}{sec}{Yappendix}{\appendixletter.\the\secno}% } \let\appendixsec\appendixsection % normally calls unnumberedseczzz: \outer\parseargdef\unnumberedsec{\unnmhead1{#1}} \def\unnumberedseczzz#1{% \global\subsecno=0 \global\subsubsecno=0 \global\advance\secno by 1 \sectionheading{#1}{sec}{Ynothing}{\the\unnumberedno.\the\secno}% } % Subsections. % % normally calls numberedsubseczzz: \outer\parseargdef\numberedsubsec{\numhead2{#1}} \def\numberedsubseczzz#1{% \global\subsubsecno=0 \global\advance\subsecno by 1 \sectionheading{#1}{subsec}{Ynumbered}{\the\chapno.\the\secno.\the\subsecno}% } % normally calls appendixsubseczzz: \outer\parseargdef\appendixsubsec{\apphead2{#1}} \def\appendixsubseczzz#1{% \global\subsubsecno=0 \global\advance\subsecno by 1 \sectionheading{#1}{subsec}{Yappendix}% {\appendixletter.\the\secno.\the\subsecno}% } % normally calls unnumberedsubseczzz: \outer\parseargdef\unnumberedsubsec{\unnmhead2{#1}} \def\unnumberedsubseczzz#1{% \global\subsubsecno=0 \global\advance\subsecno by 1 \sectionheading{#1}{subsec}{Ynothing}% {\the\unnumberedno.\the\secno.\the\subsecno}% } % Subsubsections. % % normally numberedsubsubseczzz: \outer\parseargdef\numberedsubsubsec{\numhead3{#1}} \def\numberedsubsubseczzz#1{% \global\advance\subsubsecno by 1 \sectionheading{#1}{subsubsec}{Ynumbered}% {\the\chapno.\the\secno.\the\subsecno.\the\subsubsecno}% } % normally appendixsubsubseczzz: \outer\parseargdef\appendixsubsubsec{\apphead3{#1}} \def\appendixsubsubseczzz#1{% \global\advance\subsubsecno by 1 \sectionheading{#1}{subsubsec}{Yappendix}% {\appendixletter.\the\secno.\the\subsecno.\the\subsubsecno}% } % normally unnumberedsubsubseczzz: \outer\parseargdef\unnumberedsubsubsec{\unnmhead3{#1}} \def\unnumberedsubsubseczzz#1{% \global\advance\subsubsecno by 1 \sectionheading{#1}{subsubsec}{Ynothing}% {\the\unnumberedno.\the\secno.\the\subsecno.\the\subsubsecno}% } % These macros control what the section commands do, according % to what kind of chapter we are in (ordinary, appendix, or unnumbered). % Define them by default for a numbered chapter. \let\section = \numberedsec \let\subsection = \numberedsubsec \let\subsubsection = \numberedsubsubsec % Define @majorheading, @heading and @subheading \def\majorheading{% {\advance\chapheadingskip by 10pt \chapbreak }% \parsearg\chapheadingzzz } \def\chapheading{\chapbreak \parsearg\chapheadingzzz} \def\chapheadingzzz#1{% \vbox{\chapfonts \raggedtitlesettings #1\par}% \nobreak\bigskip \nobreak \suppressfirstparagraphindent } % @heading, @subheading, @subsubheading. \parseargdef\heading{\sectionheading{#1}{sec}{Yomitfromtoc}{} \suppressfirstparagraphindent} \parseargdef\subheading{\sectionheading{#1}{subsec}{Yomitfromtoc}{} \suppressfirstparagraphindent} \parseargdef\subsubheading{\sectionheading{#1}{subsubsec}{Yomitfromtoc}{} \suppressfirstparagraphindent} % These macros generate a chapter, section, etc. heading only % (including whitespace, linebreaking, etc. around it), % given all the information in convenient, parsed form. % Args are the skip and penalty (usually negative) \def\dobreak#1#2{\par\ifdim\lastskip<#1\removelastskip\penalty#2\vskip#1\fi} % Parameter controlling skip before chapter headings (if needed) \newskip\chapheadingskip % Define plain chapter starts, and page on/off switching for it. \def\chapbreak{\dobreak \chapheadingskip {-4000}} % Start a new page \def\chappager{\par\vfill\supereject} % \chapoddpage - start on an odd page for a new chapter % Because \domark is called before \chapoddpage, the filler page will % get the headings for the next chapter, which is wrong. But we don't % care -- we just disable all headings on the filler page. \def\chapoddpage{% \chappager \ifodd\pageno \else \begingroup \headingsoff \null \chappager \endgroup \fi } \parseargdef\setchapternewpage{\csname CHAPPAG#1\endcsname} \def\CHAPPAGoff{% \global\let\contentsalignmacro = \chappager \global\let\pchapsepmacro=\chapbreak \global\def\HEADINGSon{\HEADINGSsinglechapoff}} \def\CHAPPAGon{% \global\let\contentsalignmacro = \chappager \global\let\pchapsepmacro=\chappager \global\def\HEADINGSon{\HEADINGSsingle}} \def\CHAPPAGodd{% \global\let\contentsalignmacro = \chapoddpage \global\let\pchapsepmacro=\chapoddpage \global\def\HEADINGSon{\HEADINGSdouble}} \CHAPPAGon % \chapmacro - Chapter opening. % % #1 is the text, #2 is the section type (Ynumbered, Ynothing, % Yappendix, Yomitfromtoc), #3 the chapter number. % Not used for @heading series. % % To test against our argument. \def\Ynothingkeyword{Ynothing} \def\Yappendixkeyword{Yappendix} \def\Yomitfromtockeyword{Yomitfromtoc} % \def\chapmacro#1#2#3{% \expandafter\ifx\thisenv\titlepage\else \checkenv{}% chapters, etc., should not start inside an environment. \fi % Insert the first mark before the heading break (see notes for \domark). \let\prevchapterdefs=\currentchapterdefs \let\prevsectiondefs=\currentsectiondefs \gdef\currentsectiondefs{\gdef\thissectionname{}\gdef\thissectionnum{}% \gdef\thissection{}}% % \def\temptype{#2}% \ifx\temptype\Ynothingkeyword \gdef\currentchapterdefs{\gdef\thischaptername{#1}\gdef\thischapternum{}% \gdef\thischapter{\thischaptername}}% \else\ifx\temptype\Yomitfromtockeyword \gdef\currentchapterdefs{\gdef\thischaptername{#1}\gdef\thischapternum{}% \gdef\thischapter{}}% \else\ifx\temptype\Yappendixkeyword \toks0={#1}% \xdef\currentchapterdefs{% \gdef\noexpand\thischaptername{\the\toks0}% \gdef\noexpand\thischapternum{\appendixletter}% % \noexpand\putwordAppendix avoids expanding indigestible % commands in some of the translations. \gdef\noexpand\thischapter{\noexpand\putwordAppendix{} \noexpand\thischapternum: \noexpand\thischaptername}% }% \else \toks0={#1}% \xdef\currentchapterdefs{% \gdef\noexpand\thischaptername{\the\toks0}% \gdef\noexpand\thischapternum{\the\chapno}% % \noexpand\putwordChapter avoids expanding indigestible % commands in some of the translations. \gdef\noexpand\thischapter{\noexpand\putwordChapter{} \noexpand\thischapternum: \noexpand\thischaptername}% }% \fi\fi\fi % % Output the mark. Pass it through \safewhatsit, to take care of % the preceding space. \safewhatsit\domark % % Insert the chapter heading break. \pchapsepmacro % % Now the second mark, after the heading break. No break points % between here and the heading. \let\prevchapterdefs=\currentchapterdefs \let\prevsectiondefs=\currentsectiondefs \domark % {% \chapfonts \rm \let\footnote=\errfootnoteheading % give better error message % % Have to define \currentsection before calling \donoderef, because the % xref code eventually uses it. On the other hand, it has to be called % after \pchapsepmacro, or the headline will change too soon. \gdef\currentsection{#1}% % % Only insert the separating space if we have a chapter/appendix % number, and don't print the unnumbered ``number''. \ifx\temptype\Ynothingkeyword \setbox0 = \hbox{}% \def\toctype{unnchap}% \else\ifx\temptype\Yomitfromtockeyword \setbox0 = \hbox{}% contents like unnumbered, but no toc entry \def\toctype{omit}% \else\ifx\temptype\Yappendixkeyword \setbox0 = \hbox{\putwordAppendix{} #3\enspace}% \def\toctype{app}% \else \setbox0 = \hbox{#3\enspace}% \def\toctype{numchap}% \fi\fi\fi % % Write the toc entry for this chapter. Must come before the % \donoderef, because we include the current node name in the toc % entry, and \donoderef resets it to empty. \writetocentry{\toctype}{#1}{#3}% % % For pdftex, we have to write out the node definition (aka, make % the pdfdest) after any page break, but before the actual text has % been typeset. If the destination for the pdf outline is after the % text, then jumping from the outline may wind up with the text not % being visible, for instance under high magnification. \donoderef{#2}% % % Typeset the actual heading. \nobreak % Avoid page breaks at the interline glue. \vbox{\raggedtitlesettings \hangindent=\wd0 \centerparametersmaybe \unhbox0 #1\par}% }% \nobreak\bigskip % no page break after a chapter title \nobreak } % @centerchap -- centered and unnumbered. \let\centerparametersmaybe = \relax \def\centerparameters{% \advance\rightskip by 3\rightskip \leftskip = \rightskip \parfillskip = 0pt } % Section titles. These macros combine the section number parts and % call the generic \sectionheading to do the printing. % \newskip\secheadingskip \def\secheadingbreak{\dobreak \secheadingskip{-1000}} % Subsection titles. \newskip\subsecheadingskip \def\subsecheadingbreak{\dobreak \subsecheadingskip{-500}} % Subsubsection titles. \def\subsubsecheadingskip{\subsecheadingskip} \def\subsubsecheadingbreak{\subsecheadingbreak} % Print any size, any type, section title. % % #1 is the text of the title, % #2 is the section level (sec/subsec/subsubsec), % #3 is the section type (Ynumbered, Ynothing, Yappendix, Yomitfromtoc), % #4 is the section number. % \def\seckeyword{sec} % \def\sectionheading#1#2#3#4{% {% \def\sectionlevel{#2}% \def\temptype{#3}% % % It is ok for the @heading series commands to appear inside an % environment (it's been historically allowed, though the logic is % dubious), but not the others. \ifx\temptype\Yomitfromtockeyword\else \checkenv{}% non-@*heading should not be in an environment. \fi \let\footnote=\errfootnoteheading % % Switch to the right set of fonts. \csname #2fonts\endcsname \rm % % Insert first mark before the heading break (see notes for \domark). \let\prevsectiondefs=\currentsectiondefs \ifx\temptype\Ynothingkeyword \ifx\sectionlevel\seckeyword \gdef\currentsectiondefs{\gdef\thissectionname{#1}\gdef\thissectionnum{}% \gdef\thissection{\thissectionname}}% \fi \else\ifx\temptype\Yomitfromtockeyword % Don't redefine \thissection. \else\ifx\temptype\Yappendixkeyword \ifx\sectionlevel\seckeyword \toks0={#1}% \xdef\currentsectiondefs{% \gdef\noexpand\thissectionname{\the\toks0}% \gdef\noexpand\thissectionnum{#4}% % \noexpand\putwordSection avoids expanding indigestible % commands in some of the translations. \gdef\noexpand\thissection{\noexpand\putwordSection{} \noexpand\thissectionnum: \noexpand\thissectionname}% }% \fi \else \ifx\sectionlevel\seckeyword \toks0={#1}% \xdef\currentsectiondefs{% \gdef\noexpand\thissectionname{\the\toks0}% \gdef\noexpand\thissectionnum{#4}% % \noexpand\putwordSection avoids expanding indigestible % commands in some of the translations. \gdef\noexpand\thissection{\noexpand\putwordSection{} \noexpand\thissectionnum: \noexpand\thissectionname}% }% \fi \fi\fi\fi % % Go into vertical mode. Usually we'll already be there, but we % don't want the following whatsit to end up in a preceding paragraph % if the document didn't happen to have a blank line. \par % % Output the mark. Pass it through \safewhatsit, to take care of % the preceding space. \safewhatsit\domark % % Insert space above the heading. \csname #2headingbreak\endcsname % % Now the second mark, after the heading break. No break points % between here and the heading. \global\let\prevsectiondefs=\currentsectiondefs \domark % % Only insert the space after the number if we have a section number. \ifx\temptype\Ynothingkeyword \setbox0 = \hbox{}% \def\toctype{unn}% \gdef\currentsection{#1}% \else\ifx\temptype\Yomitfromtockeyword % for @headings -- no section number, don't include in toc, % and don't redefine \currentsection. \setbox0 = \hbox{}% \def\toctype{omit}% \let\sectionlevel=\empty \else\ifx\temptype\Yappendixkeyword \setbox0 = \hbox{#4\enspace}% \def\toctype{app}% \gdef\currentsection{#1}% \else \setbox0 = \hbox{#4\enspace}% \def\toctype{num}% \gdef\currentsection{#1}% \fi\fi\fi % % Write the toc entry (before \donoderef). See comments in \chapmacro. \writetocentry{\toctype\sectionlevel}{#1}{#4}% % % Write the node reference (= pdf destination for pdftex). % Again, see comments in \chapmacro. \donoderef{#3}% % % Interline glue will be inserted when the vbox is completed. % That glue will be a valid breakpoint for the page, since it'll be % preceded by a whatsit (usually from the \donoderef, or from the % \writetocentry if there was no node). We don't want to allow that % break, since then the whatsits could end up on page n while the % section is on page n+1, thus toc/etc. are wrong. Debian bug 276000. \nobreak % % Output the actual section heading. \vbox{\hyphenpenalty=10000 \tolerance=5000 \parindent=0pt \ptexraggedright \hangindent=\wd0 % zero if no section number \unhbox0 #1}% }% % Add extra space after the heading -- half of whatever came above it. % Don't allow stretch, though. \kern .5 \csname #2headingskip\endcsname % % Do not let the kern be a potential breakpoint, as it would be if it % was followed by glue. \nobreak % % We'll almost certainly start a paragraph next, so don't let that % glue accumulate. (Not a breakpoint because it's preceded by a % discardable item.) However, when a paragraph is not started next % (\startdefun, \cartouche, \center, etc.), this needs to be wiped out % or the negative glue will cause weirdly wrong output, typically % obscuring the section heading with something else. \vskip-\parskip % % This is so the last item on the main vertical list is a known % \penalty > 10000, so \startdefun, etc., can recognize the situation % and do the needful. \penalty 10001 } \message{toc,} % Table of contents. \newwrite\tocfile % Write an entry to the toc file, opening it if necessary. % Called from @chapter, etc. % % Example usage: \writetocentry{sec}{Section Name}{\the\chapno.\the\secno} % We append the current node name (if any) and page number as additional % arguments for the \{chap,sec,...}entry macros which will eventually % read this. The node name is used in the pdf outlines as the % destination to jump to. % % We open the .toc file for writing here instead of at @setfilename (or % any other fixed time) so that @contents can be anywhere in the document. % But if #1 is `omit', then we don't do anything. This is used for the % table of contents chapter openings themselves. % \newif\iftocfileopened \def\omitkeyword{omit}% % \def\writetocentry#1#2#3{% \edef\writetoctype{#1}% \ifx\writetoctype\omitkeyword \else \iftocfileopened\else \immediate\openout\tocfile = \jobname.toc \global\tocfileopenedtrue \fi % \iflinks {\atdummies \edef\temp{% \write\tocfile{@#1entry{#2}{#3}{\lastnode}{\noexpand\folio}}}% \temp }% \fi \fi % % Tell \shipout to create a pdf destination on each page, if we're % writing pdf. These are used in the table of contents. We can't % just write one on every page because the title pages are numbered % 1 and 2 (the page numbers aren't printed), and so are the first % two pages of the document. Thus, we'd have two destinations named % `1', and two named `2'. \ifpdforxetex \global\pdfmakepagedesttrue \fi } % These characters do not print properly in the Computer Modern roman % fonts, so we must take special care. This is more or less redundant % with the Texinfo input format setup at the end of this file. % \def\activecatcodes{% \catcode`\"=\active \catcode`\$=\active \catcode`\<=\active \catcode`\>=\active \catcode`\\=\active \catcode`\^=\active \catcode`\_=\active \catcode`\|=\active \catcode`\~=\active } % Read the toc file, which is essentially Texinfo input. \def\readtocfile{% \setupdatafile \activecatcodes \input \tocreadfilename } \newskip\contentsrightmargin \contentsrightmargin=1in \newcount\savepageno \newcount\lastnegativepageno \lastnegativepageno = -1 % Prepare to read what we've written to \tocfile. % \def\startcontents#1{% % If @setchapternewpage on, and @headings double, the contents should % start on an odd page, unlike chapters. \contentsalignmacro \immediate\closeout\tocfile % % Don't need to put `Contents' or `Short Contents' in the headline. % It is abundantly clear what they are. \chapmacro{#1}{Yomitfromtoc}{}% % \savepageno = \pageno \begingroup % Set up to handle contents files properly. \raggedbottom % Worry more about breakpoints than the bottom. \entryrightmargin=\contentsrightmargin % Don't use the full line length. % % Roman numerals for page numbers. \ifnum \pageno>0 \global\pageno = \lastnegativepageno \fi \def\thistitle{}% no title in double-sided headings % Record where the Roman numerals started. \ifnum\romancount=0 \global\romancount=\pagecount \fi } % redefined for the two-volume lispref. We always output on % \jobname.toc even if this is redefined. % \def\tocreadfilename{\jobname.toc} % Normal (long) toc. % \def\contents{% \startcontents{\putwordTOC}% \openin 1 \tocreadfilename\space \ifeof 1 \else \readtocfile \fi \vfill \eject \contentsalignmacro % in case @setchapternewpage odd is in effect \ifeof 1 \else \pdfmakeoutlines \fi \closein 1 \endgroup \contentsendroman } % And just the chapters. \def\summarycontents{% \startcontents{\putwordShortTOC}% % \let\partentry = \shortpartentry \let\numchapentry = \shortchapentry \let\appentry = \shortchapentry \let\unnchapentry = \shortunnchapentry % We want a true roman here for the page numbers. \secfonts \let\rm=\shortcontrm \let\bf=\shortcontbf \let\sl=\shortcontsl \let\tt=\shortconttt \rm \hyphenpenalty = 10000 \advance\baselineskip by 1pt % Open it up a little. \def\numsecentry##1##2##3##4{} \let\appsecentry = \numsecentry \let\unnsecentry = \numsecentry \let\numsubsecentry = \numsecentry \let\appsubsecentry = \numsecentry \let\unnsubsecentry = \numsecentry \let\numsubsubsecentry = \numsecentry \let\appsubsubsecentry = \numsecentry \let\unnsubsubsecentry = \numsecentry \openin 1 \tocreadfilename\space \ifeof 1 \else \readtocfile \fi \closein 1 \vfill \eject \contentsalignmacro % in case @setchapternewpage odd is in effect \endgroup \contentsendroman } \let\shortcontents = \summarycontents % Get ready to use Arabic numerals again \def\contentsendroman{% \lastnegativepageno = \pageno \global\pageno = \savepageno % % If \romancount > \arabiccount, the contents are at the end of the % document. Otherwise, advance where the Arabic numerals start for % the page numbers. \ifnum\romancount>\arabiccount\else\global\arabiccount=\pagecount\fi } % Typeset the label for a chapter or appendix for the short contents. % The arg is, e.g., `A' for an appendix, or `3' for a chapter. % \def\shortchaplabel#1{% % This space should be enough, since a single number is .5em, and the % widest letter (M) is 1em, at least in the Computer Modern fonts. % But use \hss just in case. % (This space doesn't include the extra space that gets added after % the label; that gets put in by \shortchapentry above.) % % We'd like to right-justify chapter numbers, but that looks strange % with appendix letters. And right-justifying numbers and % left-justifying letters looks strange when there is less than 10 % chapters. Have to read the whole toc once to know how many chapters % there are before deciding ... \hbox to 1em{#1\hss}% } % These macros generate individual entries in the table of contents. % The first argument is the chapter or section name. % The last argument is the page number. % The arguments in between are the chapter number, section number, ... % Parts, in the main contents. Replace the part number, which doesn't % exist, with an empty box. Let's hope all the numbers have the same width. % Also ignore the page number, which is conventionally not printed. \def\numeralbox{\setbox0=\hbox{8}\hbox to \wd0{\hfil}} \def\partentry#1#2#3#4{% % Add stretch and a bonus for breaking the page before the part heading. % This reduces the chance of the page being broken immediately after the % part heading, before a following chapter heading. \vskip 0pt plus 5\baselineskip \penalty-300 \vskip 0pt plus -5\baselineskip \dochapentry{\numeralbox\labelspace#1}{}% } % % Parts, in the short toc. \def\shortpartentry#1#2#3#4{% \penalty-300 \vskip.5\baselineskip plus.15\baselineskip minus.1\baselineskip \shortchapentry{{\bf #1}}{\numeralbox}{}{}% } % Chapters, in the main contents. \def\numchapentry#1#2#3#4{\dochapentry{#2\labelspace#1}{#4}} % Chapters, in the short toc. % See comments in \dochapentry re vbox and related settings. \def\shortchapentry#1#2#3#4{% \tocentry{\shortchaplabel{#2}\labelspace #1}{\doshortpageno\bgroup#4\egroup}% } % Appendices, in the main contents. % Need the word Appendix, and a fixed-size box. % \def\appendixbox#1{% % We use M since it's probably the widest letter. \setbox0 = \hbox{\putwordAppendix{} M}% \hbox to \wd0{\putwordAppendix{} #1\hss}} % \def\appentry#1#2#3#4{\dochapentry{\appendixbox{#2}\hskip.7em#1}{#4}} % Unnumbered chapters. \def\unnchapentry#1#2#3#4{\dochapentry{#1}{#4}} \def\shortunnchapentry#1#2#3#4{\tocentry{#1}{\doshortpageno\bgroup#4\egroup}} % Sections. \def\numsecentry#1#2#3#4{\dosecentry{#2\labelspace#1}{#4}} \let\appsecentry=\numsecentry \def\unnsecentry#1#2#3#4{\dosecentry{#1}{#4}} % Subsections. \def\numsubsecentry#1#2#3#4{\dosubsecentry{#2\labelspace#1}{#4}} \let\appsubsecentry=\numsubsecentry \def\unnsubsecentry#1#2#3#4{\dosubsecentry{#1}{#4}} % And subsubsections. \def\numsubsubsecentry#1#2#3#4{\dosubsubsecentry{#2\labelspace#1}{#4}} \let\appsubsubsecentry=\numsubsubsecentry \def\unnsubsubsecentry#1#2#3#4{\dosubsubsecentry{#1}{#4}} % This parameter controls the indentation of the various levels. % Same as \defaultparindent. \newdimen\tocindent \tocindent = 15pt % Now for the actual typesetting. In all these, #1 is the text and #2 is the % page number. % % If the toc has to be broken over pages, we want it to be at chapters % if at all possible; hence the \penalty. \def\dochapentry#1#2{% \penalty-300 \vskip1\baselineskip plus.33\baselineskip minus.25\baselineskip \begingroup % Move the page numbers slightly to the right \advance\entryrightmargin by -0.05em \chapentryfonts \tocentry{#1}{\dopageno\bgroup#2\egroup}% \endgroup \nobreak\vskip .25\baselineskip plus.1\baselineskip } \def\dosecentry#1#2{\begingroup \secentryfonts \leftskip=\tocindent \tocentry{#1}{\dopageno\bgroup#2\egroup}% \endgroup} \def\dosubsecentry#1#2{\begingroup \subsecentryfonts \leftskip=2\tocindent \tocentry{#1}{\dopageno\bgroup#2\egroup}% \endgroup} \def\dosubsubsecentry#1#2{\begingroup \subsubsecentryfonts \leftskip=3\tocindent \tocentry{#1}{\dopageno\bgroup#2\egroup}% \endgroup} % We use the same \entry macro as for the index entries. \let\tocentry = \entry % Space between chapter (or whatever) number and the title. \def\labelspace{\hskip1em \relax} \def\dopageno#1{{\rm #1}} \def\doshortpageno#1{{\rm #1}} \def\chapentryfonts{\secfonts \rm} \def\secentryfonts{\textfonts} \def\subsecentryfonts{\textfonts} \def\subsubsecentryfonts{\textfonts} \message{environments,} % @foo ... @end foo. % @tex ... @end tex escapes into raw TeX temporarily. % One exception: @ is still an escape character, so that @end tex works. % But \@ or @@ will get a plain @ character. \envdef\tex{% \setregularquotes \catcode `\\=0 \catcode `\{=1 \catcode `\}=2 \catcode `\$=3 \catcode `\&=4 \catcode `\#=6 \catcode `\^=7 \catcode `\_=8 \catcode `\~=\active \let~=\tie \catcode `\%=14 \catcode `\+=\other \catcode `\"=\other \catcode `\|=\other \catcode `\<=\other \catcode `\>=\other \catcode `\`=\other \catcode `\'=\other % % ' is active in math mode (mathcode"8000). So reset it, and all our % other math active characters (just in case), to plain's definitions. \mathactive % % Inverse of the list at the beginning of the file. \let\b=\ptexb \let\bullet=\ptexbullet \let\c=\ptexc \let\,=\ptexcomma \let\.=\ptexdot \let\dots=\ptexdots \let\equiv=\ptexequiv \let\!=\ptexexclam \let\i=\ptexi \let\indent=\ptexindent \let\noindent=\ptexnoindent \let\{=\ptexlbrace \let\+=\tabalign \let\}=\ptexrbrace \let\/=\ptexslash \let\sp=\ptexsp \let\*=\ptexstar %\let\sup=\ptexsup % do not redefine, we want @sup to work in math mode \let\t=\ptext \expandafter \let\csname top\endcsname=\ptextop % we've made it outer \let\frenchspacing=\plainfrenchspacing % \def\endldots{\mathinner{\ldots\ldots\ldots\ldots}}% \def\enddots{\relax\ifmmode\endldots\else$\mathsurround=0pt \endldots\,$\fi}% \def\@{@}% } % There is no need to define \Etex. % Define @lisp ... @end lisp. % @lisp environment forms a group so it can rebind things, % including the definition of @end lisp (which normally is erroneous). % Amount to narrow the margins by for @lisp. \newskip\lispnarrowing \lispnarrowing=0.4in % This is the definition that ^^M gets inside @lisp, @example, and other % such environments. \null is better than a space, since it doesn't % have any width. \def\lisppar{\null\endgraf} % This space is always present above and below environments. \newskip\envskipamount \envskipamount = 0pt % Make spacing and below environment symmetrical. We use \parskip here % to help in doing that, since in @example-like environments \parskip % is reset to zero; thus the \afterenvbreak inserts no space -- but the % start of the next paragraph will insert \parskip. % \def\aboveenvbreak{{% % =10000 instead of <10000 because of a special case in \itemzzz and % \sectionheading, q.v. \ifnum \lastpenalty=10000 \else \advance\envskipamount by \parskip \endgraf \ifdim\lastskip<\envskipamount \removelastskip \ifnum\lastpenalty<10000 % Penalize breaking before the environment, because preceding text % often leads into it. \penalty100 \fi \vskip\envskipamount \fi \fi }} \def\afterenvbreak{{% % =10000 instead of <10000 because of a special case in \itemzzz and % \sectionheading, q.v. \ifnum \lastpenalty=10000 \else \advance\envskipamount by \parskip \endgraf \ifdim\lastskip<\envskipamount \removelastskip % it's not a good place to break if the last penalty was \nobreak % or better ... \ifnum\lastpenalty<10000 \penalty-50 \fi \vskip\envskipamount \fi \fi }} % \nonarrowing is a flag. If "set", @lisp etc don't narrow margins; it will % also clear it, so that its embedded environments do the narrowing again. \let\nonarrowing=\relax % @cartouche ... @end cartouche: draw rectangle w/rounded corners around % environment contents. % \def\ctl{{\circle\char'013\hskip -6pt}}% 6pt from pl file: 1/2charwidth \def\ctr{{\hskip 6pt\circle\char'010}} \def\cbl{{\circle\char'012\hskip -6pt}} \def\cbr{{\hskip 6pt\circle\char'011}} \def\carttop{\hbox to \cartouter{\hskip\lskip \ctl\leaders\hrule height\circthick\hfil\ctr \hskip\rskip}} \def\cartbot{\hbox to \cartouter{\hskip\lskip \cbl\leaders\hrule height\circthick\hfil\cbr \hskip\rskip}} % \newskip\lskip\newskip\rskip % only require the font if @cartouche is actually used \def\cartouchefontdefs{% \font\circle=lcircle10\relax \circthick=\fontdimen8\circle } \newdimen\circthick \newdimen\cartouter\newdimen\cartinner \newskip\normbskip\newskip\normpskip\newskip\normlskip \envdef\cartouche{% \cartouchefontdefs \ifhmode\par\fi % can't be in the midst of a paragraph. \startsavinginserts \lskip=\leftskip \rskip=\rightskip \leftskip=0pt\rightskip=0pt % we want these *outside*. \cartinner=\hsize \advance\cartinner by-\lskip \advance\cartinner by-\rskip \cartouter=\hsize \advance\cartouter by 18.4pt % allow for 3pt kerns on either % side, and for 6pt waste from % each corner char, and rule thickness \normbskip=\baselineskip \normpskip=\parskip \normlskip=\lineskip % % If this cartouche directly follows a sectioning command, we need the % \parskip glue (backspaced over by default) or the cartouche can % collide with the section heading. \ifnum\lastpenalty>10000 \vskip\parskip \penalty\lastpenalty \fi % \setbox\groupbox=\vbox\bgroup \baselineskip=0pt\parskip=0pt\lineskip=0pt \carttop \hbox\bgroup \hskip\lskip \vrule\kern3pt \vbox\bgroup \kern3pt \hsize=\cartinner \baselineskip=\normbskip \lineskip=\normlskip \parskip=\normpskip \vskip -\parskip \comment % For explanation, see the end of def\group. } \def\Ecartouche{% \ifhmode\par\fi \kern3pt \egroup \kern3pt\vrule \hskip\rskip \egroup \cartbot \egroup \addgroupbox \checkinserts } % This macro is called at the beginning of all the @example variants, % inside a group. \newdimen\nonfillparindent \def\nonfillstart{% \aboveenvbreak \ifdim\hfuzz < 12pt \hfuzz = 12pt \fi % Don't be fussy \sepspaces % Make spaces be word-separators rather than space tokens. \let\par = \lisppar % don't ignore blank lines \obeylines % each line of input is a line of output \parskip = 0pt % Turn off paragraph indentation but redefine \indent to emulate % the normal \indent. \nonfillparindent=\parindent \parindent = 0pt \let\indent\nonfillindent % \emergencystretch = 0pt % don't try to avoid overfull boxes \ifx\nonarrowing\relax \advance \leftskip by \lispnarrowing \exdentamount=\lispnarrowing \else \let\nonarrowing = \relax \fi \let\exdent=\nofillexdent } \begingroup \obeyspaces % We want to swallow spaces (but not other tokens) after the fake % @indent in our nonfill-environments, where spaces are normally % active and set to @tie, resulting in them not being ignored after % @indent. \gdef\nonfillindent{\futurelet\temp\nonfillindentcheck}% \gdef\nonfillindentcheck{% \ifx\temp % \expandafter\nonfillindentgobble% \else% \leavevmode\nonfillindentbox% \fi% }% \endgroup \def\nonfillindentgobble#1{\nonfillindent} \def\nonfillindentbox{\hbox to \nonfillparindent{\hss}} % If you want all examples etc. small: @set dispenvsize small. % If you want even small examples the full size: @set dispenvsize nosmall. % This affects the following displayed environments: % @example, @display, @format, @lisp, @verbatim % \def\smallword{small} \def\nosmallword{nosmall} \let\SETdispenvsize\relax \def\setnormaldispenv{% \ifx\SETdispenvsize\smallword % end paragraph for sake of leading, in case document has no blank % line. This is redundant with what happens in \aboveenvbreak, but % we need to do it before changing the fonts, and it's inconvenient % to change the fonts afterward. \ifnum \lastpenalty=10000 \else \endgraf \fi \smallexamplefonts \rm \fi } \def\setsmalldispenv{% \ifx\SETdispenvsize\nosmallword \else \ifnum \lastpenalty=10000 \else \endgraf \fi \smallexamplefonts \rm \fi } % We often define two environments, @foo and @smallfoo. % Let's do it in one command. #1 is the env name, #2 the definition. \def\makedispenvdef#1#2{% \expandafter\envdef\csname#1\endcsname {\setnormaldispenv #2}% \expandafter\envdef\csname small#1\endcsname {\setsmalldispenv #2}% \expandafter\let\csname E#1\endcsname \afterenvbreak \expandafter\let\csname Esmall#1\endcsname \afterenvbreak } % Define two environment synonyms (#1 and #2) for an environment. \def\maketwodispenvdef#1#2#3{% \makedispenvdef{#1}{#3}% \makedispenvdef{#2}{#3}% } % % @lisp: indented, narrowed, typewriter font; % @example: same as @lisp. % % @smallexample and @smalllisp: use smaller fonts. % Originally contributed by Pavel@xerox. % \maketwodispenvdef{lisp}{example}{% \nonfillstart \tt\setcodequotes \let\kbdfont = \kbdexamplefont % Allow @kbd to do something special. \parsearg\gobble } % @display/@smalldisplay: same as @lisp except keep current font. % \makedispenvdef{display}{% \nonfillstart \gobble } % @format/@smallformat: same as @display except don't narrow margins. % \makedispenvdef{format}{% \let\nonarrowing = t% \nonfillstart \gobble } % @flushleft: same as @format, but doesn't obey \SETdispenvsize. \envdef\flushleft{% \let\nonarrowing = t% \nonfillstart \gobble } \let\Eflushleft = \afterenvbreak % @flushright. % \envdef\flushright{% \let\nonarrowing = t% \nonfillstart \advance\leftskip by 0pt plus 1fill\relax \gobble } \let\Eflushright = \afterenvbreak % @raggedright does more-or-less normal line breaking but no right % justification. From plain.tex. \envdef\raggedright{% \rightskip0pt plus2.4em \spaceskip.3333em \xspaceskip.5em\relax } \let\Eraggedright\par \envdef\raggedleft{% \parindent=0pt \leftskip0pt plus2em \spaceskip.3333em \xspaceskip.5em \parfillskip=0pt \hbadness=10000 % Last line will usually be underfull, so turn off % badness reporting. } \let\Eraggedleft\par \envdef\raggedcenter{% \parindent=0pt \rightskip0pt plus1em \leftskip0pt plus1em \spaceskip.3333em \xspaceskip.5em \parfillskip=0pt \hbadness=10000 % Last line will usually be underfull, so turn off % badness reporting. } \let\Eraggedcenter\par % @quotation does normal linebreaking (hence we can't use \nonfillstart) % and narrows the margins. We keep \parskip nonzero in general, since % we're doing normal filling. So, when using \aboveenvbreak and % \afterenvbreak, temporarily make \parskip 0. % \makedispenvdef{quotation}{\quotationstart} % \def\quotationstart{% \indentedblockstart % same as \indentedblock, but increase right margin too. \ifx\nonarrowing\relax \advance\rightskip by \lispnarrowing \fi \parsearg\quotationlabel } % We have retained a nonzero parskip for the environment, since we're % doing normal filling. % \def\Equotation{% \par \ifx\quotationauthor\thisisundefined\else % indent a bit. \leftline{\kern 2\leftskip \sl ---\quotationauthor}% \fi {\parskip=0pt \afterenvbreak}% } \def\Esmallquotation{\Equotation} % If we're given an argument, typeset it in bold with a colon after. \def\quotationlabel#1{% \def\temp{#1}% \ifx\temp\empty \else {\bf #1: }% \fi } % @indentedblock is like @quotation, but indents only on the left and % has no optional argument. % \makedispenvdef{indentedblock}{\indentedblockstart} % \def\indentedblockstart{% {\parskip=0pt \aboveenvbreak}% because \aboveenvbreak inserts \parskip \parindent=0pt % % @cartouche defines \nonarrowing to inhibit narrowing at next level down. \ifx\nonarrowing\relax \advance\leftskip by \lispnarrowing \exdentamount = \lispnarrowing \else \let\nonarrowing = \relax \fi } % Keep a nonzero parskip for the environment, since we're doing normal filling. % \def\Eindentedblock{% \par {\parskip=0pt \afterenvbreak}% } \def\Esmallindentedblock{\Eindentedblock} % LaTeX-like @verbatim...@end verbatim and @verb{...} % If we want to allow any as delimiter, % we need the curly braces so that makeinfo sees the @verb command, eg: % `@verbx...x' would look like the '@verbx' command. --janneke@gnu.org % % [Knuth]: Donald Ervin Knuth, 1996. The TeXbook. % % [Knuth] p.344; only we need to do the other characters Texinfo sets % active too. Otherwise, they get lost as the first character on a % verbatim line. \def\dospecials{% \do\ \do\\\do\{\do\}\do\$\do\&% \do\#\do\^\do\^^K\do\_\do\^^A\do\%\do\~% \do\<\do\>\do\|\do\@\do+\do\"% % Don't do the quotes -- if we do, @set txicodequoteundirected and % @set txicodequotebacktick will not have effect on @verb and % @verbatim, and ?` and !` ligatures won't get disabled. %\do\`\do\'% } % % [Knuth] p. 380 \def\uncatcodespecials{% \def\do##1{\catcode`##1=\other}\dospecials} % % Setup for the @verb command. % % Eight spaces for a tab \begingroup \catcode`\^^I=\active \gdef\tabeightspaces{\catcode`\^^I=\active\def^^I{\ \ \ \ \ \ \ \ }} \endgroup % \def\setupverb{% \tt % easiest (and conventionally used) font for verbatim \def\par{\leavevmode\endgraf}% \setcodequotes \tabeightspaces % Respect line breaks, % print special symbols as themselves, and % make each space count % must do in this order: \obeylines \uncatcodespecials \sepspaces } % Setup for the @verbatim environment % % Real tab expansion. \newdimen\tabw \setbox0=\hbox{\tt\space} \tabw=8\wd0 % tab amount % % We typeset each line of the verbatim in an \hbox, so we can handle % tabs. \newbox\verbbox \def\starttabbox{\setbox\verbbox=\hbox\bgroup} % \begingroup \catcode`\^^I=\active \gdef\tabexpand{% \catcode`\^^I=\active \def^^I{\leavevmode\egroup \dimen\verbbox=\wd\verbbox % the width so far, or since the previous tab \divide\dimen\verbbox by\tabw \multiply\dimen\verbbox by\tabw % compute previous multiple of \tabw \advance\dimen\verbbox by\tabw % advance to next multiple of \tabw \wd\verbbox=\dimen\verbbox \leavevmode\box\verbbox \starttabbox }% } \endgroup % start the verbatim environment. \def\setupverbatim{% \let\nonarrowing = t% \nonfillstart \tt % easiest (and conventionally used) font for verbatim \def\par{\egroup\leavevmode\box\verbbox\endgraf\starttabbox}% \tabexpand \setcodequotes % Respect line breaks, % print special symbols as themselves, and % make each space count. % Must do in this order: \obeylines \uncatcodespecials \sepspaces } % Do the @verb magic: verbatim text is quoted by unique % delimiter characters. Before first delimiter expect a % right brace, after last delimiter expect closing brace: % % \def\doverb'{'#1'}'{#1} % % [Knuth] p. 382; only eat outer {} \begingroup \catcode`[=1\catcode`]=2\catcode`\{=\other\catcode`\}=\other \gdef\doverb{#1[\def\next##1#1}[##1\endgroup]\next] \endgroup % \def\verb{\begingroup\setupverb\doverb} % % % Do the @verbatim magic: define the macro \doverbatim so that % the (first) argument ends when '@end verbatim' is reached, ie: % % \def\doverbatim#1@end verbatim{#1} % % For Texinfo it's a lot easier than for LaTeX, % because texinfo's \verbatim doesn't stop at '\end{verbatim}': % we need not redefine '\', '{' and '}'. % % Inspired by LaTeX's verbatim command set [latex.ltx] % \begingroup \catcode`\ =\active \obeylines % % ignore everything up to the first ^^M, that's the newline at the end % of the @verbatim input line itself. Otherwise we get an extra blank % line in the output. \xdef\doverbatim#1^^M#2@end verbatim{% \starttabbox#2\egroup\noexpand\end\gobble verbatim}% % We really want {...\end verbatim} in the body of the macro, but % without the active space; thus we have to use \xdef and \gobble. % The \egroup ends the \verbbox started at the end of the last line in % the block. \endgroup % \envdef\verbatim{% \setnormaldispenv\setupverbatim\doverbatim } \let\Everbatim = \afterenvbreak % @verbatiminclude FILE - insert text of file in verbatim environment. % \def\verbatiminclude{\parseargusing\filenamecatcodes\doverbatiminclude} % \def\doverbatiminclude#1{% {% \makevalueexpandable \setupverbatim {% \indexnofonts % Allow `@@' and other weird things in file names. \wlog{texinfo.tex: doing @verbatiminclude of #1^^J}% \edef\tmp{\noexpand\input #1 } \expandafter }\expandafter\starttabbox\tmp\egroup \afterenvbreak }% } % @copying ... @end copying. % Save the text away for @insertcopying later. % % We save the uninterpreted tokens, rather than creating a box. % Saving the text in a box would be much easier, but then all the % typesetting commands (@smallbook, font changes, etc.) have to be done % beforehand -- and a) we want @copying to be done first in the source % file; b) letting users define the frontmatter in as flexible order as % possible is desirable. % \def\copying{\checkenv{}\begingroup\scanargctxt\docopying} \def\docopying#1@end copying{\endgroup\def\copyingtext{#1}} % \def\insertcopying{% \begingroup \parindent = 0pt % paragraph indentation looks wrong on title page \scanexp\copyingtext \endgroup } \message{defuns,} % @defun etc. \newskip\defbodyindent \defbodyindent=.4in \newskip\defargsindent \defargsindent=50pt \newskip\deflastargmargin \deflastargmargin=18pt \newcount\defunpenalty % Start the processing of @deffn: \def\startdefun{% \ifnum\lastpenalty<10000 \medbreak \defunpenalty=10003 % Will keep this @deffn together with the % following @def command, see below. \else % If there are two @def commands in a row, we'll have a \nobreak, % which is there to keep the function description together with its % header. But if there's nothing but headers, we need to allow a % break somewhere. Check specifically for penalty 10002, inserted % by \printdefunline, instead of 10000, since the sectioning % commands also insert a nobreak penalty, and we don't want to allow % a break between a section heading and a defun. % % As a further refinement, we avoid "club" headers by signalling % with penalty of 10003 after the very first @deffn in the % sequence (see above), and penalty of 10002 after any following % @def command. \ifnum\lastpenalty=10002 \penalty2000 \else \defunpenalty=10002 \fi % % Similarly, after a section heading, do not allow a break. % But do insert the glue. \medskip % preceded by discardable penalty, so not a breakpoint \fi % \parindent=0in \advance\leftskip by \defbodyindent \exdentamount=\defbodyindent } \def\dodefunx#1{% % First, check whether we are in the right environment: \checkenv#1% % % As above, allow line break if we have multiple x headers in a row. % It's not a great place, though. \ifnum\lastpenalty=10002 \penalty3000 \else \defunpenalty=10002 \fi % % And now, it's time to reuse the body of the original defun: \expandafter\gobbledefun#1% } \def\gobbledefun#1\startdefun{} % \printdefunline \deffnheader{text} % \def\printdefunline#1#2{% \begingroup % call \deffnheader: #1#2 \endheader % common ending: \interlinepenalty = 10000 \advance\rightskip by 0pt plus 1fil\relax \endgraf \nobreak\vskip -\parskip \penalty\defunpenalty % signal to \startdefun and \dodefunx % Some of the @defun-type tags do not enable magic parentheses, % rendering the following check redundant. But we don't optimize. \checkparencounts \endgroup } \def\Edefun{\endgraf\medbreak} % \makedefun{deffn} creates \deffn, \deffnx and \Edeffn; % the only thing remaining is to define \deffnheader. % \def\makedefun#1{% \expandafter\let\csname E#1\endcsname = \Edefun \edef\temp{\noexpand\domakedefun \makecsname{#1}\makecsname{#1x}\makecsname{#1header}}% \temp } % \domakedefun \deffn \deffnx \deffnheader { (defn. of \deffnheader) } % % Define \deffn and \deffnx, without parameters. % \deffnheader has to be defined explicitly. % \def\domakedefun#1#2#3{% \envdef#1{% \startdefun \doingtypefnfalse % distinguish typed functions from all else \parseargusing\activeparens{\printdefunline#3}% }% \def#2{\dodefunx#1}% \def#3% } \newif\ifdoingtypefn % doing typed function? \newif\ifrettypeownline % typeset return type on its own line? % @deftypefnnewline on|off says whether the return type of typed functions % are printed on their own line. This affects @deftypefn, @deftypefun, % @deftypeop, and @deftypemethod. % \parseargdef\deftypefnnewline{% \def\temp{#1}% \ifx\temp\onword \expandafter\let\csname SETtxideftypefnnl\endcsname = \empty \else\ifx\temp\offword \expandafter\let\csname SETtxideftypefnnl\endcsname = \relax \else \errhelp = \EMsimple \errmessage{Unknown @txideftypefnnl value `\temp', must be on|off}% \fi\fi } % \dosubind {index}{topic}{subtopic} % % If SUBTOPIC is present, precede it with a space, and call \doind. % (At some time during the 20th century, this made a two-level entry in an % index such as the operation index. Nobody seemed to notice the change in % behaviour though.) \def\dosubind#1#2#3{% \def\thirdarg{#3}% \ifx\thirdarg\empty \doind{#1}{#2}% \else \doind{#1}{#2\space#3}% \fi } % Untyped functions: % @deffn category name args \makedefun{deffn}{\deffngeneral{}} % @deffn category class name args \makedefun{defop}#1 {\defopon{#1\ \putwordon}} % \defopon {category on}class name args \def\defopon#1#2 {\deffngeneral{\putwordon\ \code{#2}}{#1\ \code{#2}} } % \deffngeneral {subind}category name args % \def\deffngeneral#1#2 #3 #4\endheader{% \dosubind{fn}{\code{#3}}{#1}% \defname{#2}{}{#3}\magicamp\defunargs{#4\unskip}% } % Typed functions: % @deftypefn category type name args \makedefun{deftypefn}{\deftypefngeneral{}} % @deftypeop category class type name args \makedefun{deftypeop}#1 {\deftypeopon{#1\ \putwordon}} % \deftypeopon {category on}class type name args \def\deftypeopon#1#2 {\deftypefngeneral{\putwordon\ \code{#2}}{#1\ \code{#2}} } % \deftypefngeneral {subind}category type name args % \def\deftypefngeneral#1#2 #3 #4 #5\endheader{% \dosubind{fn}{\code{#4}}{#1}% \doingtypefntrue \defname{#2}{#3}{#4}\defunargs{#5\unskip}% } % Typed variables: % @deftypevr category type var args \makedefun{deftypevr}{\deftypecvgeneral{}} % @deftypecv category class type var args \makedefun{deftypecv}#1 {\deftypecvof{#1\ \putwordof}} % \deftypecvof {category of}class type var args \def\deftypecvof#1#2 {\deftypecvgeneral{\putwordof\ \code{#2}}{#1\ \code{#2}} } % \deftypecvgeneral {subind}category type var args % \def\deftypecvgeneral#1#2 #3 #4 #5\endheader{% \dosubind{vr}{\code{#4}}{#1}% \defname{#2}{#3}{#4}\defunargs{#5\unskip}% } % Untyped variables: % @defvr category var args \makedefun{defvr}#1 {\deftypevrheader{#1} {} } % @defcv category class var args \makedefun{defcv}#1 {\defcvof{#1\ \putwordof}} % \defcvof {category of}class var args \def\defcvof#1#2 {\deftypecvof{#1}#2 {} } % Types: % @deftp category name args \makedefun{deftp}#1 #2 #3\endheader{% \doind{tp}{\code{#2}}% \defname{#1}{}{#2}\defunargs{#3\unskip}% } % Remaining @defun-like shortcuts: \makedefun{defun}{\deffnheader{\putwordDeffunc} } \makedefun{defmac}{\deffnheader{\putwordDefmac} } \makedefun{defspec}{\deffnheader{\putwordDefspec} } \makedefun{deftypefun}{\deftypefnheader{\putwordDeffunc} } \makedefun{defvar}{\defvrheader{\putwordDefvar} } \makedefun{defopt}{\defvrheader{\putwordDefopt} } \makedefun{deftypevar}{\deftypevrheader{\putwordDefvar} } \makedefun{defmethod}{\defopon\putwordMethodon} \makedefun{deftypemethod}{\deftypeopon\putwordMethodon} \makedefun{defivar}{\defcvof\putwordInstanceVariableof} \makedefun{deftypeivar}{\deftypecvof\putwordInstanceVariableof} % \defname, which formats the name of the @def (not the args). % #1 is the category, such as "Function". % #2 is the return type, if any. % #3 is the function name. % % We are followed by (but not passed) the arguments, if any. % \def\defname#1#2#3{% \par % Get the values of \leftskip and \rightskip as they were outside the @def... \advance\leftskip by -\defbodyindent % % Determine if we are typesetting the return type of a typed function % on a line by itself. \rettypeownlinefalse \ifdoingtypefn % doing a typed function specifically? % then check user option for putting return type on its own line: \expandafter\ifx\csname SETtxideftypefnnl\endcsname\relax \else \rettypeownlinetrue \fi \fi % % How we'll format the category name. Putting it in brackets helps % distinguish it from the body text that may end up on the next line % just below it. \def\temp{#1}% \setbox0=\hbox{\kern\deflastargmargin \ifx\temp\empty\else [\rm\temp]\fi} % % Figure out line sizes for the paragraph shape. We'll always have at % least two. \tempnum = 2 % % The first line needs space for \box0; but if \rightskip is nonzero, % we need only space for the part of \box0 which exceeds it: \dimen0=\hsize \advance\dimen0 by -\wd0 \advance\dimen0 by \rightskip % % If doing a return type on its own line, we'll have another line. \ifrettypeownline \advance\tempnum by 1 \def\maybeshapeline{0in \hsize}% \else \def\maybeshapeline{}% \fi % % The continuations: \dimen2=\hsize \advance\dimen2 by -\defargsindent % % The final paragraph shape: \parshape \tempnum 0in \dimen0 \maybeshapeline \defargsindent \dimen2 % % Put the category name at the right margin. \noindent \hbox to 0pt{% \hfil\box0 \kern-\hsize % \hsize has to be shortened this way: \kern\leftskip % Intentionally do not respect \rightskip, since we need the space. }% % % Allow all lines to be underfull without complaint: \tolerance=10000 \hbadness=10000 \exdentamount=\defbodyindent {% % defun fonts. We use typewriter by default (used to be bold) because: % . we're printing identifiers, they should be in tt in principle. % . in languages with many accents, such as Czech or French, it's % common to leave accents off identifiers. The result looks ok in % tt, but exceedingly strange in rm. % . we don't want -- and --- to be treated as ligatures. % . this still does not fix the ?` and !` ligatures, but so far no % one has made identifiers using them :). \df \tt \def\temp{#2}% text of the return type \ifx\temp\empty\else \tclose{\temp}% typeset the return type \ifrettypeownline % put return type on its own line; prohibit line break following: \hfil\vadjust{\nobreak}\break \else \space % type on same line, so just followed by a space \fi \fi % no return type #3% output function name }% {\rm\enskip}% hskip 0.5 em of \rmfont % \boldbrax % arguments will be output next, if any. } % Print arguments in slanted roman (not ttsl), inconsistently with using % tt for the name. This is because literal text is sometimes needed in % the argument list (groff manual), and ttsl and tt are not very % distinguishable. Prevent hyphenation at `-' chars. % \def\defunargs#1{% % use sl by default (not ttsl), % tt for the names. \df \sl \hyphenchar\font=0 % % On the other hand, if an argument has two dashes (for instance), we % want a way to get ttsl. We used to recommend @var for that, so % leave the code in, but it's strange for @var to lead to typewriter. % Nowadays we recommend @code, since the difference between a ttsl hyphen % and a tt hyphen is pretty tiny. @code also disables ?` !`. \def\var##1{{\setregularquotes\ttslanted{##1}}}% #1% \sl\hyphenchar\font=45 } % We want ()&[] to print specially on the defun line. % \def\activeparens{% \catcode`\(=\active \catcode`\)=\active \catcode`\[=\active \catcode`\]=\active \catcode`\&=\active } % Make control sequences which act like normal parenthesis chars. \let\lparen = ( \let\rparen = ) % Be sure that we always have a definition for `(', etc. For example, % if the fn name has parens in it, \boldbrax will not be in effect yet, % so TeX would otherwise complain about undefined control sequence. { \activeparens \global\let(=\lparen \global\let)=\rparen \global\let[=\lbrack \global\let]=\rbrack \global\let& = \& \gdef\boldbrax{\let(=\opnr\let)=\clnr\let[=\lbrb\let]=\rbrb} \gdef\magicamp{\let&=\amprm} } \let\ampchar\& \newcount\parencount % If we encounter &foo, then turn on ()-hacking afterwards \newif\ifampseen \def\amprm#1 {\ampseentrue{\bf\ }} \def\parenfont{% \ifampseen % At the first level, print parens in roman, % otherwise use the default font. \ifnum \parencount=1 \rm \fi \else % The \sf parens (in \boldbrax) actually are a little bolder than % the contained text. This is especially needed for [ and ] . \sf \fi } \def\infirstlevel#1{% \ifampseen \ifnum\parencount=1 #1% \fi \fi } \def\bfafterword#1 {#1 \bf} \def\opnr{% \global\advance\parencount by 1 {\parenfont(}% \infirstlevel \bfafterword } \def\clnr{% {\parenfont)}% \infirstlevel \sl \global\advance\parencount by -1 } \newcount\brackcount \def\lbrb{% \global\advance\brackcount by 1 {\bf[}% } \def\rbrb{% {\bf]}% \global\advance\brackcount by -1 } \def\checkparencounts{% \ifnum\parencount=0 \else \badparencount \fi \ifnum\brackcount=0 \else \badbrackcount \fi } % these should not use \errmessage; the glibc manual, at least, actually % has such constructs (when documenting function pointers). \def\badparencount{% \message{Warning: unbalanced parentheses in @def...}% \global\parencount=0 } \def\badbrackcount{% \message{Warning: unbalanced square brackets in @def...}% \global\brackcount=0 } \message{macros,} % @macro. % To do this right we need a feature of e-TeX, \scantokens, % which we arrange to emulate with a temporary file in ordinary TeX. \ifx\eTeXversion\thisisundefined \newwrite\macscribble \def\scantokens#1{% \toks0={#1}% \immediate\openout\macscribble=\jobname.tmp \immediate\write\macscribble{\the\toks0}% \immediate\closeout\macscribble \input \jobname.tmp } \fi \let\E=\expandafter % Used at the time of macro expansion. % Argument is macro body with arguments substituted \def\scanmacro#1{% \newlinechar`\^^M % expand the expansion of \eatleadingcr twice to maybe remove a leading % newline (and \else and \fi tokens), then call \eatspaces on the result. \def\xeatspaces##1{% \E\E\E\E\E\E\E\eatspaces\E\E\E\E\E\E\E{\eatleadingcr##1% }}% \def\xempty##1{}% % % Process the macro body under the current catcode regime. \scantokens{#1@comment}% % % The \comment is to remove the \newlinechar added by \scantokens, and % can be noticed by \parsearg. Note \c isn't used because this means cedilla % in math mode. } % Used for copying and captions \def\scanexp#1{% \expandafter\scanmacro\expandafter{#1}% } \newcount\paramno % Count of parameters \newtoks\macname % Macro name \newif\ifrecursive % Is it recursive? % List of all defined macros in the form % \commondummyword\macro1\commondummyword\macro2... % Currently is also contains all @aliases; the list can be split % if there is a need. \def\macrolist{} % Add the macro to \macrolist \def\addtomacrolist#1{\expandafter \addtomacrolistxxx \csname#1\endcsname} \def\addtomacrolistxxx#1{% \toks0 = \expandafter{\macrolist\commondummyword#1}% \xdef\macrolist{\the\toks0}% } % Utility routines. % This does \let #1 = #2, with \csnames; that is, % \let \csname#1\endcsname = \csname#2\endcsname % (except of course we have to play expansion games). % \def\cslet#1#2{% \expandafter\let \csname#1\expandafter\endcsname \csname#2\endcsname } % Trim leading and trailing spaces off a string. % Concepts from aro-bend problem 15 (see CTAN). {\catcode`\@=11 \gdef\eatspaces #1{\expandafter\trim@\expandafter{#1 }} \gdef\trim@ #1{\trim@@ @#1 @ #1 @ @@} \gdef\trim@@ #1@ #2@ #3@@{\trim@@@\empty #2 @} \def\unbrace#1{#1} \unbrace{\gdef\trim@@@ #1 } #2@{#1} } {\catcode`\^^M=\other% \gdef\eatleadingcr#1{\if\noexpand#1\noexpand^^M\else\E#1\fi}}% % Warning: this won't work for a delimited argument % or for an empty argument % Trim a single trailing ^^M off a string. {\catcode`\^^M=\other \catcode`\Q=3% \gdef\eatcr #1{\eatcra #1Q^^MQ}% \gdef\eatcra#1^^MQ{\eatcrb#1Q}% \gdef\eatcrb#1Q#2Q{#1}% } % Macro bodies are absorbed as an argument in a context where % all characters are catcode 10, 11 or 12, except \ which is active % (as in normal texinfo). It is necessary to change the definition of \ % to recognize macro arguments; this is the job of \mbodybackslash. % % Non-ASCII encodings make 8-bit characters active, so un-activate % them to avoid their expansion. Must do this non-globally, to % confine the change to the current group. % % It's necessary to have hard CRs when the macro is executed. This is % done by making ^^M (\endlinechar) catcode 12 when reading the macro % body, and then making it the \newlinechar in \scanmacro. % \def\scanctxt{% used as subroutine \catcode`\"=\other \catcode`\+=\other \catcode`\<=\other \catcode`\>=\other \catcode`\^=\other \catcode`\_=\other \catcode`\|=\other \catcode`\~=\other \passthroughcharstrue } \def\scanargctxt{% used for copying and captions, not macros. \scanctxt \catcode`\@=\other \catcode`\\=\other \catcode`\^^M=\other } \def\macrobodyctxt{% used for @macro definitions \scanctxt \catcode`\ =\other \catcode`\@=\other \catcode`\{=\other \catcode`\}=\other \catcode`\^^M=\other \usembodybackslash } % Used when scanning braced macro arguments. Note, however, that catcode % changes here are ineffectual if the macro invocation was nested inside % an argument to another Texinfo command. \def\macroargctxt{% \scanctxt \catcode`\ =\active \catcode`\@=\other \catcode`\^^M=\other \catcode`\\=\active } \def\macrolineargctxt{% used for whole-line arguments without braces \scanctxt \catcode`\@=\other \catcode`\{=\other \catcode`\}=\other } % \mbodybackslash is the definition of \ in @macro bodies. % It maps \foo\ => \csname macarg.foo\endcsname => #N % where N is the macro parameter number. % We define \csname macarg.\endcsname to be \realbackslash, so % \\ in macro replacement text gets you a backslash. % {\catcode`@=0 @catcode`@\=@active @gdef@usembodybackslash{@let\=@mbodybackslash} @gdef@mbodybackslash#1\{@csname macarg.#1@endcsname} } \expandafter\def\csname macarg.\endcsname{\realbackslash} \def\margbackslash#1{\char`\#1 } \def\macro{\recursivefalse\parsearg\macroxxx} \def\rmacro{\recursivetrue\parsearg\macroxxx} \def\macroxxx#1{% \getargs{#1}% now \macname is the macname and \argl the arglist \ifx\argl\empty % no arguments \paramno=0\relax \else \expandafter\parsemargdef \argl;% \if\paramno>256\relax \ifx\eTeXversion\thisisundefined \errhelp = \EMsimple \errmessage{You need eTeX to compile a file with macros with more than 256 arguments} \fi \fi \fi \if1\csname ismacro.\the\macname\endcsname \message{Warning: redefining \the\macname}% \else \expandafter\ifx\csname \the\macname\endcsname \relax \else \errmessage{Macro name \the\macname\space already defined}\fi \global\cslet{macsave.\the\macname}{\the\macname}% \global\expandafter\let\csname ismacro.\the\macname\endcsname=1% \addtomacrolist{\the\macname}% \fi \begingroup \macrobodyctxt \ifrecursive \expandafter\parsermacbody \else \expandafter\parsemacbody \fi} \parseargdef\unmacro{% \if1\csname ismacro.#1\endcsname \global\cslet{#1}{macsave.#1}% \global\expandafter\let \csname ismacro.#1\endcsname=0% % Remove the macro name from \macrolist: \begingroup \expandafter\let\csname#1\endcsname \relax \let\commondummyword\unmacrodo \xdef\macrolist{\macrolist}% \endgroup \else \errmessage{Macro #1 not defined}% \fi } % Called by \do from \dounmacro on each macro. The idea is to omit any % macro definitions that have been changed to \relax. % \def\unmacrodo#1{% \ifx #1\relax % remove this \else \noexpand\commondummyword \noexpand#1% \fi } % \getargs -- Parse the arguments to a @macro line. Set \macname to % the name of the macro, and \argl to the braced argument list. \def\getargs#1{\getargsxxx#1{}} \def\getargsxxx#1#{\getmacname #1 \relax\getmacargs} \def\getmacname#1 #2\relax{\macname={#1}} \def\getmacargs#1{\def\argl{#1}} % This made use of the feature that if the last token of a % is #, then the preceding argument is delimited by % an opening brace, and that opening brace is not consumed. % Parse the optional {params} list to @macro or @rmacro. % Set \paramno to the number of arguments, % and \paramlist to a parameter text for the macro (e.g. #1,#2,#3 for a % three-param macro.) Define \macarg.BLAH for each BLAH in the params % list to some hook where the argument is to be expanded. If there are % less than 10 arguments that hook is to be replaced by ##N where N % is the position in that list, that is to say the macro arguments are to be % defined `a la TeX in the macro body. % % That gets used by \mbodybackslash (above). % % If there are 10 or more arguments, a different technique is used: see % \parsemmanyargdef. % \def\parsemargdef#1;{% \paramno=0\def\paramlist{}% \let\hash\relax % \hash is redefined to `#' later to get it into definitions \let\xeatspaces\relax \let\xempty\relax \parsemargdefxxx#1,;,% \ifnum\paramno<10\relax\else \paramno0\relax \parsemmanyargdef@@#1,;,% 10 or more arguments \fi } \def\parsemargdefxxx#1,{% \if#1;\let\next=\relax \else \let\next=\parsemargdefxxx \advance\paramno by 1 \expandafter\edef\csname macarg.\eatspaces{#1}\endcsname {\xeatspaces{\hash\the\paramno\noexpand\xempty{}}}% \edef\paramlist{\paramlist\hash\the\paramno,}% \fi\next} % the \xempty{} is to give \eatleadingcr an argument in the case of an % empty macro argument. % \parsemacbody, \parsermacbody % % Read recursive and nonrecursive macro bodies. (They're different since % rec and nonrec macros end differently.) % % We are in \macrobodyctxt, and the \xdef causes backslashshes in the macro % body to be transformed. % Set \macrobody to the body of the macro, and call \defmacro. % {\catcode`\ =\other\long\gdef\parsemacbody#1@end macro{% \xdef\macrobody{\eatcr{#1}}\endgroup\defmacro}}% {\catcode`\ =\other\long\gdef\parsermacbody#1@end rmacro{% \xdef\macrobody{\eatcr{#1}}\endgroup\defmacro}}% % Make @ a letter, so that we can make private-to-Texinfo macro names. \edef\texiatcatcode{\the\catcode`\@} \catcode `@=11\relax %%%%%%%%%%%%%% Code for > 10 arguments only %%%%%%%%%%%%%%%%%% % If there are 10 or more arguments, a different technique is used, where the % hook remains in the body, and when macro is to be expanded the body is % processed again to replace the arguments. % % In that case, the hook is \the\toks N-1, and we simply set \toks N-1 to the % argument N value and then \edef the body (nothing else will expand because of % the catcode regime under which the body was input). % % If you compile with TeX (not eTeX), and you have macros with 10 or more % arguments, no macro can have more than 256 arguments (else error). % % In case that there are 10 or more arguments we parse again the arguments % list to set new definitions for the \macarg.BLAH macros corresponding to % each BLAH argument. It was anyhow needed to parse already once this list % in order to count the arguments, and as macros with at most 9 arguments % are by far more frequent than macro with 10 or more arguments, defining % twice the \macarg.BLAH macros does not cost too much processing power. \def\parsemmanyargdef@@#1,{% \if#1;\let\next=\relax \else \let\next=\parsemmanyargdef@@ \edef\tempb{\eatspaces{#1}}% \expandafter\def\expandafter\tempa \expandafter{\csname macarg.\tempb\endcsname}% % Note that we need some extra \noexpand\noexpand, this is because we % don't want \the to be expanded in the \parsermacbody as it uses an % \xdef . \expandafter\edef\tempa {\noexpand\noexpand\noexpand\the\toks\the\paramno}% \advance\paramno by 1\relax \fi\next} \let\endargs@\relax \let\nil@\relax \def\nilm@{\nil@}% \long\def\nillm@{\nil@}% % This macro is expanded during the Texinfo macro expansion, not during its % definition. It gets all the arguments' values and assigns them to macros % macarg.ARGNAME % % #1 is the macro name % #2 is the list of argument names % #3 is the list of argument values \def\getargvals@#1#2#3{% \def\macargdeflist@{}% \def\saveparamlist@{#2}% Need to keep a copy for parameter expansion. \def\paramlist{#2,\nil@}% \def\macroname{#1}% \begingroup \macroargctxt \def\argvaluelist{#3,\nil@}% \def\@tempa{#3}% \ifx\@tempa\empty \setemptyargvalues@ \else \getargvals@@ \fi } \def\getargvals@@{% \ifx\paramlist\nilm@ % Some sanity check needed here that \argvaluelist is also empty. \ifx\argvaluelist\nillm@ \else \errhelp = \EMsimple \errmessage{Too many arguments in macro `\macroname'!}% \fi \let\next\macargexpandinbody@ \else \ifx\argvaluelist\nillm@ % No more arguments values passed to macro. Set remaining named-arg % macros to empty. \let\next\setemptyargvalues@ \else % pop current arg name into \@tempb \def\@tempa##1{\pop@{\@tempb}{\paramlist}##1\endargs@}% \expandafter\@tempa\expandafter{\paramlist}% % pop current argument value into \@tempc \def\@tempa##1{\longpop@{\@tempc}{\argvaluelist}##1\endargs@}% \expandafter\@tempa\expandafter{\argvaluelist}% % Here \@tempb is the current arg name and \@tempc is the current arg value. % First place the new argument macro definition into \@tempd \expandafter\macname\expandafter{\@tempc}% \expandafter\let\csname macarg.\@tempb\endcsname\relax \expandafter\def\expandafter\@tempe\expandafter{% \csname macarg.\@tempb\endcsname}% \edef\@tempd{\long\def\@tempe{\the\macname}}% \push@\@tempd\macargdeflist@ \let\next\getargvals@@ \fi \fi \next } \def\push@#1#2{% \expandafter\expandafter\expandafter\def \expandafter\expandafter\expandafter#2% \expandafter\expandafter\expandafter{% \expandafter#1#2}% } % Replace arguments by their values in the macro body, and place the result % in macro \@tempa. % \def\macvalstoargs@{% % To do this we use the property that token registers that are \the'ed % within an \edef expand only once. So we are going to place all argument % values into respective token registers. % % First we save the token context, and initialize argument numbering. \begingroup \paramno0\relax % Then, for each argument number #N, we place the corresponding argument % value into a new token list register \toks#N \expandafter\putargsintokens@\saveparamlist@,;,% % Then, we expand the body so that argument are replaced by their % values. The trick for values not to be expanded themselves is that they % are within tokens and that tokens expand only once in an \edef . \edef\@tempc{\csname mac.\macroname .body\endcsname}% % Now we restore the token stack pointer to free the token list registers % which we have used, but we make sure that expanded body is saved after % group. \expandafter \endgroup \expandafter\def\expandafter\@tempa\expandafter{\@tempc}% } % Define the named-macro outside of this group and then close this group. % \def\macargexpandinbody@{% \expandafter \endgroup \macargdeflist@ % First the replace in body the macro arguments by their values, the result % is in \@tempa . \macvalstoargs@ % Then we point at the \norecurse or \gobble (for recursive) macro value % with \@tempb . \expandafter\let\expandafter\@tempb\csname mac.\macroname .recurse\endcsname % Depending on whether it is recursive or not, we need some tailing % \egroup . \ifx\@tempb\gobble \let\@tempc\relax \else \let\@tempc\egroup \fi % And now we do the real job: \edef\@tempd{\noexpand\@tempb{\macroname}\noexpand\scanmacro{\@tempa}\@tempc}% \@tempd } \def\putargsintokens@#1,{% \if#1;\let\next\relax \else \let\next\putargsintokens@ % First we allocate the new token list register, and give it a temporary % alias \@tempb . \toksdef\@tempb\the\paramno % Then we place the argument value into that token list register. \expandafter\let\expandafter\@tempa\csname macarg.#1\endcsname \expandafter\@tempb\expandafter{\@tempa}% \advance\paramno by 1\relax \fi \next } % Trailing missing arguments are set to empty. % \def\setemptyargvalues@{% \ifx\paramlist\nilm@ \let\next\macargexpandinbody@ \else \expandafter\setemptyargvaluesparser@\paramlist\endargs@ \let\next\setemptyargvalues@ \fi \next } \def\setemptyargvaluesparser@#1,#2\endargs@{% \expandafter\def\expandafter\@tempa\expandafter{% \expandafter\def\csname macarg.#1\endcsname{}}% \push@\@tempa\macargdeflist@ \def\paramlist{#2}% } % #1 is the element target macro % #2 is the list macro % #3,#4\endargs@ is the list value \def\pop@#1#2#3,#4\endargs@{% \def#1{#3}% \def#2{#4}% } \long\def\longpop@#1#2#3,#4\endargs@{% \long\def#1{#3}% \long\def#2{#4}% } %%%%%%%%%%%%%% End of code for > 10 arguments %%%%%%%%%%%%%%%%%% % This defines a Texinfo @macro or @rmacro, called by \parsemacbody. % \macrobody has the body of the macro in it, with placeholders for % its parameters, looking like "\xeatspaces{\hash 1}". % \paramno is the number of parameters % \paramlist is a TeX parameter text, e.g. "#1,#2,#3," % There are four cases: macros of zero, one, up to nine, and many arguments. % \xdef is used so that macro definitions will survive the file % they're defined in: @include reads the file inside a group. % \def\defmacro{% \let\hash=##% convert placeholders to macro parameter chars \ifnum\paramno=1 \def\xeatspaces##1{##1}% % This removes the pair of braces around the argument. We don't % use \eatspaces, because this can cause ends of lines to be lost % when the argument to \eatspaces is read, leading to line-based % commands like "@itemize" not being read correctly. \else \let\xeatspaces\relax % suppress expansion \fi \ifcase\paramno % 0 \expandafter\xdef\csname\the\macname\endcsname{% \bgroup \noexpand\spaceisspace \noexpand\endlineisspace \noexpand\expandafter % skip any whitespace after the macro name. \expandafter\noexpand\csname\the\macname @@@\endcsname}% \expandafter\xdef\csname\the\macname @@@\endcsname{% \egroup \noexpand\scanmacro{\macrobody}}% \or % 1 \expandafter\xdef\csname\the\macname\endcsname{% \bgroup \noexpand\braceorline \expandafter\noexpand\csname\the\macname @@@\endcsname}% \expandafter\xdef\csname\the\macname @@@\endcsname##1{% \egroup \noexpand\scanmacro{\macrobody}% }% \else % at most 9 \ifnum\paramno<10\relax % @MACNAME sets the context for reading the macro argument % @MACNAME@@ gets the argument, processes backslashes and appends a % comma. % @MACNAME@@@ removes braces surrounding the argument list. % @MACNAME@@@@ scans the macro body with arguments substituted. \expandafter\xdef\csname\the\macname\endcsname{% \bgroup \noexpand\expandafter % This \expandafter skip any spaces after the \noexpand\macroargctxt % macro before we change the catcode of space. \noexpand\expandafter \expandafter\noexpand\csname\the\macname @@\endcsname}% \expandafter\xdef\csname\the\macname @@\endcsname##1{% \noexpand\passargtomacro \expandafter\noexpand\csname\the\macname @@@\endcsname{##1,}}% \expandafter\xdef\csname\the\macname @@@\endcsname##1{% \expandafter\noexpand\csname\the\macname @@@@\endcsname ##1}% \expandafter\expandafter \expandafter\xdef \expandafter\expandafter \csname\the\macname @@@@\endcsname\paramlist{% \egroup\noexpand\scanmacro{\macrobody}}% \else % 10 or more: \expandafter\xdef\csname\the\macname\endcsname{% \noexpand\getargvals@{\the\macname}{\argl}% }% \global\expandafter\let\csname mac.\the\macname .body\endcsname\macrobody \global\expandafter\let\csname mac.\the\macname .recurse\endcsname\gobble \fi \fi} \catcode `\@\texiatcatcode\relax % end private-to-Texinfo catcodes \def\norecurse#1{\bgroup\cslet{#1}{macsave.#1}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % {\catcode`\@=0 \catcode`\\=13 % We need to manipulate \ so use @ as escape @catcode`@_=11 % private names @catcode`@!=11 % used as argument separator % \passargtomacro#1#2 - % Call #1 with a list of tokens #2, with any doubled backslashes in #2 % compressed to one. % % This implementation works by expansion, and not execution (so we cannot use % \def or similar). This reduces the risk of this failing in contexts where % complete expansion is done with no execution (for example, in writing out to % an auxiliary file for an index entry). % % State is kept in the input stream: the argument passed to % @look_ahead, @gobble_and_check_finish and @add_segment is % % THE_MACRO ARG_RESULT ! {PENDING_BS} NEXT_TOKEN (... rest of input) % % where: % THE_MACRO - name of the macro we want to call % ARG_RESULT - argument list we build to pass to that macro % PENDING_BS - either a backslash or nothing % NEXT_TOKEN - used to look ahead in the input stream to see what's coming next @gdef@passargtomacro#1#2{% @add_segment #1!{}@relax#2\@_finish\% } @gdef@_finish{@_finishx} @global@let@_finishx@relax % #1 - THE_MACRO ARG_RESULT % #2 - PENDING_BS % #3 - NEXT_TOKEN % #4 used to look ahead % % If the next token is not a backslash, process the rest of the argument; % otherwise, remove the next token. @gdef@look_ahead#1!#2#3#4{% @ifx#4\% @expandafter@gobble_and_check_finish @else @expandafter@add_segment @fi#1!{#2}#4#4% } % #1 - THE_MACRO ARG_RESULT % #2 - PENDING_BS % #3 - NEXT_TOKEN % #4 should be a backslash, which is gobbled. % #5 looks ahead % % Double backslash found. Add a single backslash, and look ahead. @gdef@gobble_and_check_finish#1!#2#3#4#5{% @add_segment#1\!{}#5#5% } @gdef@is_fi{@fi} % #1 - THE_MACRO ARG_RESULT % #2 - PENDING_BS % #3 - NEXT_TOKEN % #4 is input stream until next backslash % % Input stream is either at the start of the argument, or just after a % backslash sequence, either a lone backslash, or a doubled backslash. % NEXT_TOKEN contains the first token in the input stream: if it is \finish, % finish; otherwise, append to ARG_RESULT the segment of the argument up until % the next backslash. PENDING_BACKSLASH contains a backslash to represent % a backslash just before the start of the input stream that has not been % added to ARG_RESULT. @gdef@add_segment#1!#2#3#4\{% @ifx#3@_finish @call_the_macro#1!% @else % append the pending backslash to the result, followed by the next segment @expandafter@is_fi@look_ahead#1#2#4!{\}@fi % this @fi is discarded by @look_ahead. % we can't get rid of it with \expandafter because we don't know how % long #4 is. } % #1 - THE_MACRO % #2 - ARG_RESULT % #3 discards the res of the conditional in @add_segment, and @is_fi ends the % conditional. @gdef@call_the_macro#1#2!#3@fi{@is_fi #1{#2}} } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % \braceorline MAC is used for a one-argument macro MAC. It checks % whether the next non-whitespace character is a {. It sets the context % for reading the argument (slightly different in the two cases). Then, % to read the argument, in the whole-line case, it then calls the regular % \parsearg MAC; in the lbrace case, it calls \passargtomacro MAC. % \def\braceorline#1{\let\macnamexxx=#1\futurelet\nchar\braceorlinexxx} \def\braceorlinexxx{% \ifx\nchar\bgroup \macroargctxt \expandafter\passargtomacro \else \macrolineargctxt\expandafter\parsearg \fi \macnamexxx} % @alias. % We need some trickery to remove the optional spaces around the equal % sign. Make them active and then expand them all to nothing. % \def\alias{\parseargusing\obeyspaces\aliasxxx} \def\aliasxxx #1{\aliasyyy#1\relax} \def\aliasyyy #1=#2\relax{% {% \expandafter\let\obeyedspace=\empty \addtomacrolist{#1}% \xdef\next{\global\let\makecsname{#1}=\makecsname{#2}}% }% \next } \message{cross references,} \newwrite\auxfile \newif\ifhavexrefs % True if xref values are known. \newif\ifwarnedxrefs % True if we warned once that they aren't known. % @inforef is relatively simple. \def\inforef #1{\inforefzzz #1,,,,**} \def\inforefzzz #1,#2,#3,#4**{% \putwordSee{} \putwordInfo{} \putwordfile{} \file{\ignorespaces #3{}}, node \samp{\ignorespaces#1{}}} % @node's only job in TeX is to define \lastnode, which is used in % cross-references. The @node line might or might not have commas, and % might or might not have spaces before the first comma, like: % @node foo , bar , ... % We don't want such trailing spaces in the node name. % \parseargdef\node{\checkenv{}\donode #1 ,\finishnodeparse} % % also remove a trailing comma, in case of something like this: % @node Help-Cross, , , Cross-refs \def\donode#1 ,#2\finishnodeparse{\dodonode #1,\finishnodeparse} \def\dodonode#1,#2\finishnodeparse{\gdef\lastnode{#1}\omittopnode} % Used so that the @top node doesn't have to be wrapped in an @ifnottex % conditional. % \doignore goes to more effort to skip nested conditionals but we don't need % that here. \def\omittopnode{% \ifx\lastnode\wordTop \expandafter\ignorenode\fi } \def\wordTop{Top} % Until the next @node or @bye command, divert output to a box that is not % output. \def\ignorenode{\setbox\dummybox\vbox\bgroup\def\node{\egroup\node}% \ignorenodebye } {\let\bye\relax \gdef\ignorenodebye{\let\bye\ignorenodebyedef} \gdef\ignorenodebyedef{\egroup(`Top' node ignored)\bye}} % The redefinition of \bye here is because it is declared \outer \let\lastnode=\empty % Write a cross-reference definition for the current node. #1 is the % type (Ynumbered, Yappendix, Ynothing). % \def\donoderef#1{% \ifx\lastnode\empty\else \setref{\lastnode}{#1}% \global\let\lastnode=\empty \fi } % @anchor{NAME} -- define xref target at arbitrary point. % \newcount\savesfregister % \def\savesf{\relax \ifhmode \savesfregister=\spacefactor \fi} \def\restoresf{\relax \ifhmode \spacefactor=\savesfregister \fi} \def\anchor#1{\savesf \setref{#1}{Ynothing}\restoresf \ignorespaces} % \setref{NAME}{SNT} defines a cross-reference point NAME (a node or an % anchor), which consists of three parts: % 1) NAME-title - the current sectioning name taken from \currentsection, % or the anchor name. % 2) NAME-snt - section number and type, passed as the SNT arg, or % empty for anchors. % 3) NAME-pg - the page number. % % This is called from \donoderef, \anchor, and \dofloat. In the case of % floats, there is an additional part, which is not written here: % 4) NAME-lof - the text as it should appear in a @listoffloats. % \def\setref#1#2{% \pdfmkdest{#1}% \iflinks {% \requireauxfile \atdummies % preserve commands, but don't expand them % match definition in \xrdef, \refx, \xrefX. \def\value##1{##1}% \edef\writexrdef##1##2{% \write\auxfile{@xrdef{#1-% #1 of \setref, expanded by the \edef ##1}{##2}}% these are parameters of \writexrdef }% \toks0 = \expandafter{\currentsection}% \immediate \writexrdef{title}{\the\toks0 }% \immediate \writexrdef{snt}{\csname #2\endcsname}% \Ynumbered etc. \safewhatsit{\writexrdef{pg}{\folio}}% will be written later, at \shipout }% \fi } % @xrefautosectiontitle on|off says whether @section(ing) names are used % automatically in xrefs, if the third arg is not explicitly specified. % This was provided as a "secret" @set xref-automatic-section-title % variable, now it's official. % \parseargdef\xrefautomaticsectiontitle{% \def\temp{#1}% \ifx\temp\onword \expandafter\let\csname SETxref-automatic-section-title\endcsname = \empty \else\ifx\temp\offword \expandafter\let\csname SETxref-automatic-section-title\endcsname = \relax \else \errhelp = \EMsimple \errmessage{Unknown @xrefautomaticsectiontitle value `\temp', must be on|off}% \fi\fi } % % @xref, @pxref, and @ref generate cross-references. For \xrefX, #1 is % the node name, #2 the name of the Info cross-reference, #3 the printed % node name, #4 the name of the Info file, #5 the name of the printed % manual. All but the node name can be omitted. % \def\pxref{\putwordsee{} \xrefXX} \def\xref{\putwordSee{} \xrefXX} \def\ref{\xrefXX} \def\xrefXX#1{\def\xrefXXarg{#1}\futurelet\tokenafterxref\xrefXXX} \def\xrefXXX{\expandafter\xrefX\expandafter[\xrefXXarg,,,,,,,]} % \newbox\toprefbox \newbox\printedrefnamebox \newbox\infofilenamebox \newbox\printedmanualbox % \def\xrefX[#1,#2,#3,#4,#5,#6]{\begingroup \unsepspaces % % Get args without leading/trailing spaces. \def\printedrefname{\ignorespaces #3}% \setbox\printedrefnamebox = \hbox{\printedrefname\unskip}% % \def\infofilename{\ignorespaces #4}% \setbox\infofilenamebox = \hbox{\infofilename\unskip}% % \def\printedmanual{\ignorespaces #5}% \setbox\printedmanualbox = \hbox{\printedmanual\unskip}% % % If the printed reference name (arg #3) was not explicitly given in % the @xref, figure out what we want to use. \ifdim \wd\printedrefnamebox = 0pt % No printed node name was explicitly given. \expandafter\ifx\csname SETxref-automatic-section-title\endcsname \relax % Not auto section-title: use node name inside the square brackets. \def\printedrefname{\ignorespaces #1}% \else % Auto section-title: use chapter/section title inside % the square brackets if we have it. \ifdim \wd\printedmanualbox > 0pt % It is in another manual, so we don't have it; use node name. \def\printedrefname{\ignorespaces #1}% \else \ifhavexrefs % We (should) know the real title if we have the xref values. \def\printedrefname{\refx{#1-title}}% \else % Otherwise just copy the Info node name. \def\printedrefname{\ignorespaces #1}% \fi% \fi \fi \fi % % Make link in pdf output. \ifpdf % For pdfTeX and LuaTeX {\indexnofonts \makevalueexpandable \turnoffactive % This expands tokens, so do it after making catcode changes, so _ % etc. don't get their TeX definitions. This ignores all spaces in % #4, including (wrongly) those in the middle of the filename. \getfilename{#4}% % % This (wrongly) does not take account of leading or trailing % spaces in #1, which should be ignored. \setpdfdestname{#1}% % \ifx\pdfdestname\empty \def\pdfdestname{Top}% no empty targets \fi % \leavevmode \startlink attr{/Border [0 0 0]}% \ifnum\filenamelength>0 goto file{\the\filename.pdf} name{\pdfdestname}% \else goto name{\pdfmkpgn{\pdfdestname}}% \fi }% \setcolor{\linkcolor}% \else \ifx\XeTeXrevision\thisisundefined \else % For XeTeX {\indexnofonts \makevalueexpandable \turnoffactive % This expands tokens, so do it after making catcode changes, so _ % etc. don't get their TeX definitions. This ignores all spaces in % #4, including (wrongly) those in the middle of the filename. \getfilename{#4}% % % This (wrongly) does not take account of leading or trailing % spaces in #1, which should be ignored. \setpdfdestname{#1}% % \ifx\pdfdestname\empty \def\pdfdestname{Top}% no empty targets \fi % \leavevmode \ifnum\filenamelength>0 % With default settings, % XeTeX (xdvipdfmx) replaces link destination names with integers. % In this case, the replaced destination names of % remote PDFs are no longer known. In order to avoid a replacement, % you can use xdvipdfmx's command line option `-C 0x0010'. % If you use XeTeX 0.99996+ (TeX Live 2016+), % this command line option is no longer necessary % because we can use the `dvipdfmx:config' special. \special{pdf:bann << /Border [0 0 0] /Type /Annot /Subtype /Link /A << /S /GoToR /F (\the\filename.pdf) /D (\pdfdestname) >> >>}% \else \special{pdf:bann << /Border [0 0 0] /Type /Annot /Subtype /Link /A << /S /GoTo /D (\pdfdestname) >> >>}% \fi }% \setcolor{\linkcolor}% \fi \fi {% % Have to otherify everything special to allow the \csname to % include an _ in the xref name, etc. \indexnofonts \turnoffactive \def\value##1{##1}% \expandafter\global\expandafter\let\expandafter\Xthisreftitle \csname XR#1-title\endcsname }% % % Float references are printed completely differently: "Figure 1.2" % instead of "[somenode], p.3". \iffloat distinguishes them by % \Xthisreftitle being set to a magic string. \iffloat\Xthisreftitle % If the user specified the print name (third arg) to the ref, % print it instead of our usual "Figure 1.2". \ifdim\wd\printedrefnamebox = 0pt \refx{#1-snt}% \else \printedrefname \fi % % If the user also gave the printed manual name (fifth arg), append % "in MANUALNAME". \ifdim \wd\printedmanualbox > 0pt \space \putwordin{} \cite{\printedmanual}% \fi \else % node/anchor (non-float) references. % % If we use \unhbox to print the node names, TeX does not insert % empty discretionaries after hyphens, which means that it will not % find a line break at a hyphen in a node names. Since some manuals % are best written with fairly long node names, containing hyphens, % this is a loss. Therefore, we give the text of the node name % again, so it is as if TeX is seeing it for the first time. % \ifdim \wd\printedmanualbox > 0pt % Cross-manual reference with a printed manual name. % \crossmanualxref{\cite{\printedmanual\unskip}}% % \else\ifdim \wd\infofilenamebox > 0pt % Cross-manual reference with only an info filename (arg 4), no % printed manual name (arg 5). This is essentially the same as % the case above; we output the filename, since we have nothing else. % \crossmanualxref{\code{\infofilename\unskip}}% % \else % Reference within this manual. % % Only output a following space if the -snt ref is nonempty, as the ref % will be empty for @unnumbered and @anchor. \setbox2 = \hbox{\ignorespaces \refx{#1-snt}}% \ifdim \wd2 > 0pt \refx{#1-snt}\space\fi % % output the `[mynode]' via the macro below so it can be overridden. \xrefprintnodename\printedrefname % \expandafter\ifx\csname SETtxiomitxrefpg\endcsname\relax % But we always want a comma and a space: ,\space % % output the `page 3'. \turnoffactive \putwordpage\tie\refx{#1-pg}% % Add a , if xref followed by a space \if\space\noexpand\tokenafterxref ,% \else\ifx\ \tokenafterxref ,% @TAB \else\ifx\*\tokenafterxref ,% @* \else\ifx\ \tokenafterxref ,% @SPACE \else\ifx\ \tokenafterxref ,% @NL \else\ifx\tie\tokenafterxref ,% @tie \fi\fi\fi\fi\fi\fi \fi \fi\fi \fi \endlink \endgroup} % Output a cross-manual xref to #1. Used just above (twice). % % Only include the text "Section ``foo'' in" if the foo is neither % missing or Top. Thus, @xref{,,,foo,The Foo Manual} outputs simply % "see The Foo Manual", the idea being to refer to the whole manual. % % But, this being TeX, we can't easily compare our node name against the % string "Top" while ignoring the possible spaces before and after in % the input. By adding the arbitrary 7sp below, we make it much less % likely that a real node name would have the same width as "Top" (e.g., % in a monospaced font). Hopefully it will never happen in practice. % % For the same basic reason, we retypeset the "Top" at every % reference, since the current font is indeterminate. % \def\crossmanualxref#1{% \setbox\toprefbox = \hbox{Top\kern7sp}% \setbox2 = \hbox{\ignorespaces \printedrefname \unskip \kern7sp}% \ifdim \wd2 > 7sp % nonempty? \ifdim \wd2 = \wd\toprefbox \else % same as Top? \putwordSection{} ``\printedrefname'' \putwordin{}\space \fi \fi #1% } % This macro is called from \xrefX for the `[nodename]' part of xref % output. It's a separate macro only so it can be changed more easily, % since square brackets don't work well in some documents. Particularly % one that Bob is working on :). % \def\xrefprintnodename#1{[#1]} % Things referred to by \setref. % \def\Ynothing{} \def\Yomitfromtoc{} \def\Ynumbered{% \ifnum\secno=0 \putwordChapter@tie \the\chapno \else \ifnum\subsecno=0 \putwordSection@tie \the\chapno.\the\secno \else \ifnum\subsubsecno=0 \putwordSection@tie \the\chapno.\the\secno.\the\subsecno \else \putwordSection@tie \the\chapno.\the\secno.\the\subsecno.\the\subsubsecno \fi\fi\fi } \def\Yappendix{% \ifnum\secno=0 \putwordAppendix@tie @char\the\appendixno{}% \else \ifnum\subsecno=0 \putwordSection@tie @char\the\appendixno.\the\secno \else \ifnum\subsubsecno=0 \putwordSection@tie @char\the\appendixno.\the\secno.\the\subsecno \else \putwordSection@tie @char\the\appendixno.\the\secno.\the\subsecno.\the\subsubsecno \fi\fi\fi } % \refx{NAME} - reference a cross-reference string named NAME. \def\refx#1{% \requireauxfile {% \indexnofonts \turnoffactive \def\value##1{##1}% \expandafter\global\expandafter\let\expandafter\thisrefX \csname XR#1\endcsname }% \ifx\thisrefX\relax % If not defined, say something at least. \angleleft un\-de\-fined\angleright \iflinks \ifhavexrefs {\toks0 = {#1}% avoid expansion of possibly-complex value \message{\linenumber Undefined cross reference `\the\toks0'.}}% \else \ifwarnedxrefs\else \global\warnedxrefstrue \message{Cross reference values unknown; you must run TeX again.}% \fi \fi \fi \else % It's defined, so just use it. \thisrefX \fi } % This is the macro invoked by entries in the aux file. Define a control % sequence for a cross-reference target (we prepend XR to the control sequence % name to avoid collisions). The value is the page number. If this is a float % type, we have more work to do. % \def\xrdef#1#2{% {% Expand the node or anchor name to remove control sequences. % \turnoffactive stops 8-bit characters being changed to commands % like @'e. \refx does the same to retrieve the value in the definition. \indexnofonts \turnoffactive \def\value##1{##1}% \xdef\safexrefname{#1}% }% % \bgroup \expandafter\gdef\csname XR\safexrefname\endcsname{#2}% \egroup % We put the \gdef inside a group to avoid the definitions building up on % TeX's save stack, which can cause it to run out of space for aux files with % thousands of lines. \gdef doesn't use the save stack, but \csname does % when it defines an unknown control sequence as \relax. % % Was that xref control sequence that we just defined for a float? \expandafter\iffloat\csname XR\safexrefname\endcsname % it was a float, and we have the (safe) float type in \iffloattype. \expandafter\let\expandafter\floatlist \csname floatlist\iffloattype\endcsname % % Is this the first time we've seen this float type? \expandafter\ifx\floatlist\relax \toks0 = {\do}% yes, so just \do \else % had it before, so preserve previous elements in list. \toks0 = \expandafter{\floatlist\do}% \fi % % Remember this xref in the control sequence \floatlistFLOATTYPE, % for later use in \listoffloats. \expandafter\xdef\csname floatlist\iffloattype\endcsname{\the\toks0 {\safexrefname}}% \fi } % If working on a large document in chapters, it is convenient to % be able to disable indexing, cross-referencing, and contents, for test runs. % This is done with @novalidate at the beginning of the file. % \newif\iflinks \linkstrue % by default we want the aux files. \let\novalidate = \linksfalse % Used when writing to the aux file, or when using data from it. \def\requireauxfile{% \iflinks \tryauxfile % Open the new aux file. TeX will close it automatically at exit. \immediate\openout\auxfile=\jobname.aux \fi \global\let\requireauxfile=\relax % Only do this once. } % Read the last existing aux file, if any. No error if none exists. % \def\tryauxfile{% \openin 1 \jobname.aux \ifeof 1 \else \readdatafile{aux}% \global\havexrefstrue \fi \closein 1 } \def\setupdatafile{% \catcode`\^^@=\other \catcode`\^^A=\other \catcode`\^^B=\other \catcode`\^^C=\other \catcode`\^^D=\other \catcode`\^^E=\other \catcode`\^^F=\other \catcode`\^^G=\other \catcode`\^^H=\other \catcode`\^^K=\other \catcode`\^^L=\other \catcode`\^^N=\other \catcode`\^^P=\other \catcode`\^^Q=\other \catcode`\^^R=\other \catcode`\^^S=\other \catcode`\^^T=\other \catcode`\^^U=\other \catcode`\^^V=\other \catcode`\^^W=\other \catcode`\^^X=\other \catcode`\^^Z=\other \catcode`\^^[=\other \catcode`\^^\=\other \catcode`\^^]=\other \catcode`\^^^=\other \catcode`\^^_=\other \catcode`\^=\other % % Special characters. Should be turned off anyway, but... \catcode`\~=\other \catcode`\[=\other \catcode`\]=\other \catcode`\"=\other \catcode`\_=\active \catcode`\|=\active \catcode`\<=\active \catcode`\>=\active \catcode`\$=\other \catcode`\#=\other \catcode`\&=\other \catcode`\%=\other \catcode`+=\other % avoid \+ for paranoia even though we've turned it off % \catcode`\\=\active % % @ is our escape character in .aux files, and we need braces. \catcode`\{=1 \catcode`\}=2 \catcode`\@=0 } \def\readdatafile#1{% \begingroup \setupdatafile \input\jobname.#1 \endgroup} \message{insertions,} % including footnotes. \newcount \footnoteno % The trailing space in the following definition for supereject is % vital for proper filling; pages come out unaligned when you do a % pagealignmacro call if that space before the closing brace is % removed. (Generally, numeric constants should always be followed by a % space to prevent strange expansion errors.) \def\supereject{\par\penalty -20000\footnoteno =0 } % @footnotestyle is meaningful for Info output only. \let\footnotestyle=\comment {\catcode `\@=11 % % Auto-number footnotes. Otherwise like plain. \gdef\footnote{% \global\advance\footnoteno by \@ne \edef\thisfootno{$^{\the\footnoteno}$}% % % In case the footnote comes at the end of a sentence, preserve the % extra spacing after we do the footnote number. \let\@sf\empty \ifhmode\edef\@sf{\spacefactor\the\spacefactor}\ptexslash\fi % % Remove inadvertent blank space before typesetting the footnote number. \unskip \thisfootno\@sf \dofootnote }% % Don't bother with the trickery in plain.tex to not require the % footnote text as a parameter. Our footnotes don't need to be so general. % % Oh yes, they do; otherwise, @ifset (and anything else that uses % \parseargline) fails inside footnotes because the tokens are fixed when % the footnote is read. --karl, 16nov96. % \gdef\dofootnote{% \insert\footins\bgroup % % Nested footnotes are not supported in TeX, that would take a lot % more work. (\startsavinginserts does not suffice.) \let\footnote=\errfootnotenest % % We want to typeset this text as a normal paragraph, even if the % footnote reference occurs in (for example) a display environment. % So reset some parameters. \hsize=\txipagewidth \interlinepenalty\interfootnotelinepenalty \splittopskip\ht\strutbox % top baseline for broken footnotes \splitmaxdepth\dp\strutbox \floatingpenalty\@MM \leftskip\z@skip \rightskip\z@skip \spaceskip\z@skip \xspaceskip\z@skip \parindent\defaultparindent % \smallfonts \rm % % Because we use hanging indentation in footnotes, a @noindent appears % to exdent this text, so make it be a no-op. makeinfo does not use % hanging indentation so @noindent can still be needed within footnote % text after an @example or the like (not that this is good style). \let\noindent = \relax % % Hang the footnote text off the number. Use \everypar in case the % footnote extends for more than one paragraph. \everypar = {\hang}% \textindent{\thisfootno}% % % Don't crash into the line above the footnote text. Since this % expands into a box, it must come within the paragraph, lest it % provide a place where TeX can split the footnote. \footstrut % % Invoke rest of plain TeX footnote routine. \futurelet\next\fo@t } }%end \catcode `\@=11 \def\errfootnotenest{% \errhelp=\EMsimple \errmessage{Nested footnotes not supported in texinfo.tex, even though they work in makeinfo; sorry} } \def\errfootnoteheading{% \errhelp=\EMsimple \errmessage{Footnotes in chapters, sections, etc., are not supported} } % In case a @footnote appears in a vbox, save the footnote text and create % the real \insert just after the vbox finished. Otherwise, the insertion % would be lost. % Similarly, if a @footnote appears inside an alignment, save the footnote % text to a box and make the \insert when a row of the table is finished. % And the same can be done for other insert classes. --kasal, 16nov03. % % Replace the \insert primitive by a cheating macro. % Deeper inside, just make sure that the saved insertions are not spilled % out prematurely. % \def\startsavinginserts{% \ifx \insert\ptexinsert \let\insert\saveinsert \else \let\checkinserts\relax \fi } % This \insert replacement works for both \insert\footins{foo} and % \insert\footins\bgroup foo\egroup, but it doesn't work for \insert27{foo}. % \def\saveinsert#1{% \edef\next{\noexpand\savetobox \makeSAVEname#1}% \afterassignment\next % swallow the left brace \let\temp = } \def\makeSAVEname#1{\makecsname{SAVE\expandafter\gobble\string#1}} \def\savetobox#1{\global\setbox#1 = \vbox\bgroup \unvbox#1} \def\checksaveins#1{\ifvoid#1\else \placesaveins#1\fi} \def\placesaveins#1{% \ptexinsert \csname\expandafter\gobblesave\string#1\endcsname {\box#1}% } % eat @SAVE -- beware, all of them have catcode \other: { \def\dospecials{\do S\do A\do V\do E} \uncatcodespecials % ;-) \gdef\gobblesave @SAVE{} } % initialization: \def\newsaveins #1{% \edef\next{\noexpand\newsaveinsX \makeSAVEname#1}% \next } \def\newsaveinsX #1{% \csname newbox\endcsname #1% \expandafter\def\expandafter\checkinserts\expandafter{\checkinserts \checksaveins #1}% } % initialize: \let\checkinserts\empty \newsaveins\footins \newsaveins\margin % @image. We use the macros from epsf.tex to support this. % If epsf.tex is not installed and @image is used, we complain. % % Check for and read epsf.tex up front. If we read it only at @image % time, we might be inside a group, and then its definitions would get % undone and the next image would fail. \openin 1 = epsf.tex \ifeof 1 \else % Do not bother showing banner with epsf.tex v2.7k (available in % doc/epsf.tex and on ctan). \def\epsfannounce{\toks0 = }% \input epsf.tex \fi \closein 1 % % We will only complain once about lack of epsf.tex. \newif\ifwarnednoepsf \newhelp\noepsfhelp{epsf.tex must be installed for images to work. It is also included in the Texinfo distribution, or you can get it from https://ctan.org/texarchive/macros/texinfo/texinfo/doc/epsf.tex.} % \def\image#1{% \ifx\epsfbox\thisisundefined \ifwarnednoepsf \else \errhelp = \noepsfhelp \errmessage{epsf.tex not found, images will be ignored}% \global\warnednoepsftrue \fi \else \imagexxx #1,,,,,\finish \fi } % % Arguments to @image: % #1 is (mandatory) image filename; we tack on .eps extension. % #2 is (optional) width, #3 is (optional) height. % #4 is (ignored optional) html alt text. % #5 is (ignored optional) extension. % #6 is just the usual extra ignored arg for parsing stuff. \newif\ifimagevmode \def\imagexxx#1,#2,#3,#4,#5,#6\finish{\begingroup \catcode`\^^M = 5 % in case we're inside an example \normalturnoffactive % allow _ et al. in names \makevalueexpandable % If the image is by itself, center it. \ifvmode \imagevmodetrue \else \ifx\centersub\centerV % for @center @image, we need a vbox so we can have our vertical space \imagevmodetrue \vbox\bgroup % vbox has better behavior than vtop herev \fi\fi % \ifimagevmode \nobreak\medskip % Usually we'll have text after the image which will insert % \parskip glue, so insert it here too to equalize the space % above and below. \nobreak\vskip\parskip \nobreak \fi % % Leave vertical mode so that indentation from an enclosing % environment such as @quotation is respected. % However, if we're at the top level, we don't want the % normal paragraph indentation. % On the other hand, if we are in the case of @center @image, we don't % want to start a paragraph, which will create a hsize-width box and % eradicate the centering. \ifx\centersub\centerV \else \imageindent \fi % % Output the image. \ifpdf % For pdfTeX and LuaTeX <= 0.80 \dopdfimage{#1}{#2}{#3}% \else \ifx\XeTeXrevision\thisisundefined % For epsf.tex % \epsfbox itself resets \epsf?size at each figure. \setbox0 = \hbox{\ignorespaces #2}% \ifdim\wd0 > 0pt \epsfxsize=#2\relax \fi \setbox0 = \hbox{\ignorespaces #3}% \ifdim\wd0 > 0pt \epsfysize=#3\relax \fi \epsfbox{#1.eps}% \else % For XeTeX \doxeteximage{#1}{#2}{#3}% \fi \fi % \ifimagevmode \medskip % space after a standalone image \fi \ifx\centersub\centerV \egroup \fi \endgroup} % @float FLOATTYPE,LABEL,LOC ... @end float for displayed figures, tables, % etc. We don't actually implement floating yet, we always include the % float "here". But it seemed the best name for the future. % \envparseargdef\float{\eatcommaspace\eatcommaspace\dofloat#1, , ,\finish} % There may be a space before second and/or third parameter; delete it. \def\eatcommaspace#1, {#1,} % #1 is the optional FLOATTYPE, the text label for this float, typically % "Figure", "Table", "Example", etc. Can't contain commas. If omitted, % this float will not be numbered and cannot be referred to. % % #2 is the optional xref label. Also must be present for the float to % be referable. % % #3 is the optional positioning argument; for now, it is ignored. It % will somehow specify the positions allowed to float to (here, top, bottom). % % We keep a separate counter for each FLOATTYPE, which we reset at each % chapter-level command. \let\resetallfloatnos=\empty % \def\dofloat#1,#2,#3,#4\finish{% \let\thiscaption=\empty \let\thisshortcaption=\empty % % don't lose footnotes inside @float. % % BEWARE: when the floats start float, we have to issue warning whenever an % insert appears inside a float which could possibly float. --kasal, 26may04 % \startsavinginserts % % We can't be used inside a paragraph. \par % \vtop\bgroup \def\floattype{#1}% \def\floatlabel{#2}% \def\floatloc{#3}% we do nothing with this yet. % \ifx\floattype\empty \let\safefloattype=\empty \else {% % the floattype might have accents or other special characters, % but we need to use it in a control sequence name. \indexnofonts \turnoffactive \xdef\safefloattype{\floattype}% }% \fi % % If label is given but no type, we handle that as the empty type. \ifx\floatlabel\empty \else % We want each FLOATTYPE to be numbered separately (Figure 1, % Table 1, Figure 2, ...). (And if no label, no number.) % \expandafter\getfloatno\csname\safefloattype floatno\endcsname \global\advance\floatno by 1 % {% % This magic value for \currentsection is output by \setref as the % XREFLABEL-title value. \xrefX uses it to distinguish float % labels (which have a completely different output format) from % node and anchor labels. And \xrdef uses it to construct the % lists of floats. % \edef\currentsection{\floatmagic=\safefloattype}% \setref{\floatlabel}{Yfloat}% }% \fi % % start with \parskip glue, I guess. \vskip\parskip % % Don't suppress indentation if a float happens to start a section. \restorefirstparagraphindent } % we have these possibilities: % @float Foo,lbl & @caption{Cap}: Foo 1.1: Cap % @float Foo,lbl & no caption: Foo 1.1 % @float Foo & @caption{Cap}: Foo: Cap % @float Foo & no caption: Foo % @float ,lbl & Caption{Cap}: 1.1: Cap % @float ,lbl & no caption: 1.1 % @float & @caption{Cap}: Cap % @float & no caption: % \def\Efloat{% \let\floatident = \empty % % In all cases, if we have a float type, it comes first. \ifx\floattype\empty \else \def\floatident{\floattype}\fi % % If we have an xref label, the number comes next. \ifx\floatlabel\empty \else \ifx\floattype\empty \else % if also had float type, need tie first. \appendtomacro\floatident{\tie}% \fi % the number. \appendtomacro\floatident{\chaplevelprefix\the\floatno}% \fi % % Start the printed caption with what we've constructed in % \floatident, but keep it separate; we need \floatident again. \let\captionline = \floatident % \ifx\thiscaption\empty \else \ifx\floatident\empty \else \appendtomacro\captionline{: }% had ident, so need a colon between \fi % % caption text. \appendtomacro\captionline{\scanexp\thiscaption}% \fi % % If we have anything to print, print it, with space before. % Eventually this needs to become an \insert. \ifx\captionline\empty \else \vskip.5\parskip \captionline % % Space below caption. \vskip\parskip \fi % % If have an xref label, write the list of floats info. Do this % after the caption, to avoid chance of it being a breakpoint. \ifx\floatlabel\empty \else % Write the text that goes in the lof to the aux file as % \floatlabel-lof. Besides \floatident, we include the short % caption if specified, else the full caption if specified, else nothing. {% \requireauxfile \atdummies % \ifx\thisshortcaption\empty \def\gtemp{\thiscaption}% \else \def\gtemp{\thisshortcaption}% \fi \immediate\write\auxfile{@xrdef{\floatlabel-lof}{\floatident \ifx\gtemp\empty \else : \gtemp \fi}}% }% \fi \egroup % end of \vtop % \checkinserts } % Append the tokens #2 to the definition of macro #1, not expanding either. % \def\appendtomacro#1#2{% \expandafter\def\expandafter#1\expandafter{#1#2}% } % @caption, @shortcaption % \def\caption{\docaption\thiscaption} \def\shortcaption{\docaption\thisshortcaption} \def\docaption{\checkenv\float \bgroup\scanargctxt\defcaption} \def\defcaption#1#2{\egroup \def#1{#2}} % The parameter is the control sequence identifying the counter we are % going to use. Create it if it doesn't exist and assign it to \floatno. \def\getfloatno#1{% \ifx#1\relax % Haven't seen this figure type before. \csname newcount\endcsname #1% % % Remember to reset this floatno at the next chap. \expandafter\gdef\expandafter\resetallfloatnos \expandafter{\resetallfloatnos #1=0 }% \fi \let\floatno#1% } % \setref calls this to get the XREFLABEL-snt value. We want an @xref % to the FLOATLABEL to expand to "Figure 3.1". We call \setref when we % first read the @float command. % \def\Yfloat{\floattype@tie \chaplevelprefix\the\floatno}% % Magic string used for the XREFLABEL-title value, so \xrefX can % distinguish floats from other xref types. \def\floatmagic{!!float!!} % #1 is the control sequence we are passed; we expand into a conditional % which is true if #1 represents a float ref. That is, the magic % \currentsection value which we \setref above. % \def\iffloat#1{\expandafter\doiffloat#1==\finish} % % #1 is (maybe) the \floatmagic string. If so, #2 will be the % (safe) float type for this float. We set \iffloattype to #2. % \def\doiffloat#1=#2=#3\finish{% \def\temp{#1}% \def\iffloattype{#2}% \ifx\temp\floatmagic } % @listoffloats FLOATTYPE - print a list of floats like a table of contents. % \parseargdef\listoffloats{% \def\floattype{#1}% floattype {% % the floattype might have accents or other special characters, % but we need to use it in a control sequence name. \indexnofonts \turnoffactive \xdef\safefloattype{\floattype}% }% % % \xrdef saves the floats as a \do-list in \floatlistSAFEFLOATTYPE. \expandafter\ifx\csname floatlist\safefloattype\endcsname \relax \ifhavexrefs % if the user said @listoffloats foo but never @float foo. \message{\linenumber No `\safefloattype' floats to list.}% \fi \else \begingroup \leftskip=\tocindent % indent these entries like a toc \let\do=\listoffloatsdo \csname floatlist\safefloattype\endcsname \endgroup \fi } % This is called on each entry in a list of floats. We're passed the % xref label, in the form LABEL-title, which is how we save it in the % aux file. We strip off the -title and look up \XRLABEL-lof, which % has the text we're supposed to typeset here. % % Figures without xref labels will not be included in the list (since % they won't appear in the aux file). % \def\listoffloatsdo#1{\listoffloatsdoentry#1\finish} \def\listoffloatsdoentry#1-title\finish{{% % Can't fully expand XR#1-lof because it can contain anything. Just % pass the control sequence. On the other hand, XR#1-pg is just the % page number, and we want to fully expand that so we can get a link % in pdf output. \toksA = \expandafter{\csname XR#1-lof\endcsname}% % % use the same \entry macro we use to generate the TOC and index. \edef\writeentry{\noexpand\entry{\the\toksA}{\csname XR#1-pg\endcsname}}% \writeentry }} \message{localization,} % For single-language documents, @documentlanguage is usually given very % early, just after @documentencoding. Single argument is the language % (de) or locale (de_DE) abbreviation. % { \catcode`\_ = \active \globaldefs=1 \parseargdef\documentlanguage{% \tex % read txi-??.tex file in plain TeX. % Read the file by the name they passed if it exists. \let_ = \normalunderscore % normal _ character for filename test \openin 1 txi-#1.tex \ifeof 1 \documentlanguagetrywithoutunderscore #1_\finish \else \globaldefs = 1 % everything in the txi-LL files needs to persist \input txi-#1.tex \fi \closein 1 \endgroup % end raw TeX } % % If they passed de_DE, and txi-de_DE.tex doesn't exist, % try txi-de.tex. % \gdef\documentlanguagetrywithoutunderscore#1_#2\finish{% \openin 1 txi-#1.tex \ifeof 1 \errhelp = \nolanghelp \errmessage{Cannot read language file txi-#1.tex}% \else \globaldefs = 1 % everything in the txi-LL files needs to persist \input txi-#1.tex \fi \closein 1 } }% end of special _ catcode % \newhelp\nolanghelp{The given language definition file cannot be found or is empty. Maybe you need to install it? Putting it in the current directory should work if nowhere else does.} % This macro is called from txi-??.tex files; the first argument is the % \language name to set (without the "\lang@" prefix), the second and % third args are \{left,right}hyphenmin. % % The language names to pass are determined when the format is built. % See the etex.log file created at that time, e.g., % /usr/local/texlive/2008/texmf-var/web2c/pdftex/etex.log. % % With TeX Live 2008, etex now includes hyphenation patterns for all % available languages. This means we can support hyphenation in % Texinfo, at least to some extent. (This still doesn't solve the % accented characters problem.) % \catcode`@=11 \def\txisetlanguage#1#2#3{% % do not set the language if the name is undefined in the current TeX. \expandafter\ifx\csname lang@#1\endcsname \relax \message{no patterns for #1}% \else \global\language = \csname lang@#1\endcsname \fi % but there is no harm in adjusting the hyphenmin values regardless. \global\lefthyphenmin = #2\relax \global\righthyphenmin = #3\relax } % XeTeX and LuaTeX can handle Unicode natively. % Their default I/O uses UTF-8 sequences instead of a byte-wise operation. % Other TeX engines' I/O (pdfTeX, etc.) is byte-wise. % \newif\iftxinativeunicodecapable \newif\iftxiusebytewiseio \ifx\XeTeXrevision\thisisundefined \ifx\luatexversion\thisisundefined \txinativeunicodecapablefalse \txiusebytewiseiotrue \else \txinativeunicodecapabletrue \txiusebytewiseiofalse \fi \else \txinativeunicodecapabletrue \txiusebytewiseiofalse \fi % Set I/O by bytes instead of UTF-8 sequence for XeTeX and LuaTex % for non-UTF-8 (byte-wise) encodings. % \def\setbytewiseio{% \ifx\XeTeXrevision\thisisundefined \else \XeTeXdefaultencoding "bytes" % For subsequent files to be read \XeTeXinputencoding "bytes" % For document root file % Unfortunately, there seems to be no corresponding XeTeX command for % output encoding. This is a problem for auxiliary index and TOC files. % The only solution would be perhaps to write out @U{...} sequences in % place of non-ASCII characters. \fi \ifx\luatexversion\thisisundefined \else \directlua{ local utf8_char, byte, gsub = unicode.utf8.char, string.byte, string.gsub local function convert_char (char) return utf8_char(byte(char)) end local function convert_line (line) return gsub(line, ".", convert_char) end callback.register("process_input_buffer", convert_line) local function convert_line_out (line) local line_out = "" for c in string.utfvalues(line) do line_out = line_out .. string.char(c) end return line_out end callback.register("process_output_buffer", convert_line_out) } \fi \txiusebytewiseiotrue } % Helpers for encodings. % Set the catcode of characters 128 through 255 to the specified number. % \def\setnonasciicharscatcode#1{% \count255=128 \loop\ifnum\count255<256 \global\catcode\count255=#1\relax \advance\count255 by 1 \repeat } \def\setnonasciicharscatcodenonglobal#1{% \count255=128 \loop\ifnum\count255<256 \catcode\count255=#1\relax \advance\count255 by 1 \repeat } % @documentencoding sets the definition of non-ASCII characters % according to the specified encoding. % \def\documentencoding{\parseargusing\filenamecatcodes\documentencodingzzz} \def\documentencodingzzz#1{% % % Encoding being declared for the document. \def\declaredencoding{\csname #1.enc\endcsname}% % % Supported encodings: names converted to tokens in order to be able % to compare them with \ifx. \def\ascii{\csname US-ASCII.enc\endcsname}% \def\latnine{\csname ISO-8859-15.enc\endcsname}% \def\latone{\csname ISO-8859-1.enc\endcsname}% \def\lattwo{\csname ISO-8859-2.enc\endcsname}% \def\utfeight{\csname UTF-8.enc\endcsname}% % \ifx \declaredencoding \ascii \asciichardefs % \else \ifx \declaredencoding \lattwo \iftxinativeunicodecapable \setbytewiseio \fi \setnonasciicharscatcode\active \lattwochardefs % \else \ifx \declaredencoding \latone \iftxinativeunicodecapable \setbytewiseio \fi \setnonasciicharscatcode\active \latonechardefs % \else \ifx \declaredencoding \latnine \iftxinativeunicodecapable \setbytewiseio \fi \setnonasciicharscatcode\active \latninechardefs % \else \ifx \declaredencoding \utfeight \iftxinativeunicodecapable % For native Unicode handling (XeTeX and LuaTeX) \nativeunicodechardefs \else % For treating UTF-8 as byte sequences (TeX, eTeX and pdfTeX) \setnonasciicharscatcode\active % since we already invoked \utfeightchardefs at the top level % (below), do not re-invoke it, otherwise our check for duplicated % definitions gets triggered. Making non-ascii chars active is % sufficient. \fi % \else \message{Ignoring unknown document encoding: #1.}% % \fi % utfeight \fi % latnine \fi % latone \fi % lattwo \fi % ascii % \ifx\XeTeXrevision\thisisundefined \else \ifx \declaredencoding \utfeight \else \ifx \declaredencoding \ascii \else \message{Warning: XeTeX with non-UTF-8 encodings cannot handle % non-ASCII characters in auxiliary files.}% \fi \fi \fi } % emacs-page % A message to be logged when using a character that isn't available % the default font encoding (OT1). % \def\missingcharmsg#1{\message{Character missing, sorry: #1.}} % Take account of \c (plain) vs. \, (Texinfo) difference. \def\cedilla#1{\ifx\c\ptexc\c{#1}\else\,{#1}\fi} % First, make active non-ASCII characters in order for them to be % correctly categorized when TeX reads the replacement text of % macros containing the character definitions. \setnonasciicharscatcode\active % \def\gdefchar#1#2{% \gdef#1{% \ifpassthroughchars \string#1% \else #2% \fi }} % Latin1 (ISO-8859-1) character definitions. \def\latonechardefs{% \gdefchar^^a0{\tie} \gdefchar^^a1{\exclamdown} \gdefchar^^a2{{\tcfont \char162}} % cent \gdefchar^^a3{\pounds{}} \gdefchar^^a4{{\tcfont \char164}} % currency \gdefchar^^a5{{\tcfont \char165}} % yen \gdefchar^^a6{{\tcfont \char166}} % broken bar \gdefchar^^a7{\S} \gdefchar^^a8{\"{}} \gdefchar^^a9{\copyright{}} \gdefchar^^aa{\ordf} \gdefchar^^ab{\guillemetleft{}} \gdefchar^^ac{\ensuremath\lnot} \gdefchar^^ad{\-} \gdefchar^^ae{\registeredsymbol{}} \gdefchar^^af{\={}} % \gdefchar^^b0{\textdegree} \gdefchar^^b1{$\pm$} \gdefchar^^b2{$^2$} \gdefchar^^b3{$^3$} \gdefchar^^b4{\'{}} \gdefchar^^b5{$\mu$} \gdefchar^^b6{\P} \gdefchar^^b7{\ensuremath\cdot} \gdefchar^^b8{\cedilla\ } \gdefchar^^b9{$^1$} \gdefchar^^ba{\ordm} \gdefchar^^bb{\guillemetright{}} \gdefchar^^bc{$1\over4$} \gdefchar^^bd{$1\over2$} \gdefchar^^be{$3\over4$} \gdefchar^^bf{\questiondown} % \gdefchar^^c0{\`A} \gdefchar^^c1{\'A} \gdefchar^^c2{\^A} \gdefchar^^c3{\~A} \gdefchar^^c4{\"A} \gdefchar^^c5{\ringaccent A} \gdefchar^^c6{\AE} \gdefchar^^c7{\cedilla C} \gdefchar^^c8{\`E} \gdefchar^^c9{\'E} \gdefchar^^ca{\^E} \gdefchar^^cb{\"E} \gdefchar^^cc{\`I} \gdefchar^^cd{\'I} \gdefchar^^ce{\^I} \gdefchar^^cf{\"I} % \gdefchar^^d0{\DH} \gdefchar^^d1{\~N} \gdefchar^^d2{\`O} \gdefchar^^d3{\'O} \gdefchar^^d4{\^O} \gdefchar^^d5{\~O} \gdefchar^^d6{\"O} \gdefchar^^d7{$\times$} \gdefchar^^d8{\O} \gdefchar^^d9{\`U} \gdefchar^^da{\'U} \gdefchar^^db{\^U} \gdefchar^^dc{\"U} \gdefchar^^dd{\'Y} \gdefchar^^de{\TH} \gdefchar^^df{\ss} % \gdefchar^^e0{\`a} \gdefchar^^e1{\'a} \gdefchar^^e2{\^a} \gdefchar^^e3{\~a} \gdefchar^^e4{\"a} \gdefchar^^e5{\ringaccent a} \gdefchar^^e6{\ae} \gdefchar^^e7{\cedilla c} \gdefchar^^e8{\`e} \gdefchar^^e9{\'e} \gdefchar^^ea{\^e} \gdefchar^^eb{\"e} \gdefchar^^ec{\`{\dotless i}} \gdefchar^^ed{\'{\dotless i}} \gdefchar^^ee{\^{\dotless i}} \gdefchar^^ef{\"{\dotless i}} % \gdefchar^^f0{\dh} \gdefchar^^f1{\~n} \gdefchar^^f2{\`o} \gdefchar^^f3{\'o} \gdefchar^^f4{\^o} \gdefchar^^f5{\~o} \gdefchar^^f6{\"o} \gdefchar^^f7{$\div$} \gdefchar^^f8{\o} \gdefchar^^f9{\`u} \gdefchar^^fa{\'u} \gdefchar^^fb{\^u} \gdefchar^^fc{\"u} \gdefchar^^fd{\'y} \gdefchar^^fe{\th} \gdefchar^^ff{\"y} } % Latin9 (ISO-8859-15) encoding character definitions. \def\latninechardefs{% % Encoding is almost identical to Latin1. \latonechardefs % \gdefchar^^a4{\euro{}} \gdefchar^^a6{\v S} \gdefchar^^a8{\v s} \gdefchar^^b4{\v Z} \gdefchar^^b8{\v z} \gdefchar^^bc{\OE} \gdefchar^^bd{\oe} \gdefchar^^be{\"Y} } % Latin2 (ISO-8859-2) character definitions. \def\lattwochardefs{% \gdefchar^^a0{\tie} \gdefchar^^a1{\ogonek{A}} \gdefchar^^a2{\u{}} \gdefchar^^a3{\L} \gdefchar^^a4{\missingcharmsg{CURRENCY SIGN}} \gdefchar^^a5{\v L} \gdefchar^^a6{\'S} \gdefchar^^a7{\S} \gdefchar^^a8{\"{}} \gdefchar^^a9{\v S} \gdefchar^^aa{\cedilla S} \gdefchar^^ab{\v T} \gdefchar^^ac{\'Z} \gdefchar^^ad{\-} \gdefchar^^ae{\v Z} \gdefchar^^af{\dotaccent Z} % \gdefchar^^b0{\textdegree{}} \gdefchar^^b1{\ogonek{a}} \gdefchar^^b2{\ogonek{ }} \gdefchar^^b3{\l} \gdefchar^^b4{\'{}} \gdefchar^^b5{\v l} \gdefchar^^b6{\'s} \gdefchar^^b7{\v{}} \gdefchar^^b8{\cedilla\ } \gdefchar^^b9{\v s} \gdefchar^^ba{\cedilla s} \gdefchar^^bb{\v t} \gdefchar^^bc{\'z} \gdefchar^^bd{\H{}} \gdefchar^^be{\v z} \gdefchar^^bf{\dotaccent z} % \gdefchar^^c0{\'R} \gdefchar^^c1{\'A} \gdefchar^^c2{\^A} \gdefchar^^c3{\u A} \gdefchar^^c4{\"A} \gdefchar^^c5{\'L} \gdefchar^^c6{\'C} \gdefchar^^c7{\cedilla C} \gdefchar^^c8{\v C} \gdefchar^^c9{\'E} \gdefchar^^ca{\ogonek{E}} \gdefchar^^cb{\"E} \gdefchar^^cc{\v E} \gdefchar^^cd{\'I} \gdefchar^^ce{\^I} \gdefchar^^cf{\v D} % \gdefchar^^d0{\DH} \gdefchar^^d1{\'N} \gdefchar^^d2{\v N} \gdefchar^^d3{\'O} \gdefchar^^d4{\^O} \gdefchar^^d5{\H O} \gdefchar^^d6{\"O} \gdefchar^^d7{$\times$} \gdefchar^^d8{\v R} \gdefchar^^d9{\ringaccent U} \gdefchar^^da{\'U} \gdefchar^^db{\H U} \gdefchar^^dc{\"U} \gdefchar^^dd{\'Y} \gdefchar^^de{\cedilla T} \gdefchar^^df{\ss} % \gdefchar^^e0{\'r} \gdefchar^^e1{\'a} \gdefchar^^e2{\^a} \gdefchar^^e3{\u a} \gdefchar^^e4{\"a} \gdefchar^^e5{\'l} \gdefchar^^e6{\'c} \gdefchar^^e7{\cedilla c} \gdefchar^^e8{\v c} \gdefchar^^e9{\'e} \gdefchar^^ea{\ogonek{e}} \gdefchar^^eb{\"e} \gdefchar^^ec{\v e} \gdefchar^^ed{\'{\dotless{i}}} \gdefchar^^ee{\^{\dotless{i}}} \gdefchar^^ef{\v d} % \gdefchar^^f0{\dh} \gdefchar^^f1{\'n} \gdefchar^^f2{\v n} \gdefchar^^f3{\'o} \gdefchar^^f4{\^o} \gdefchar^^f5{\H o} \gdefchar^^f6{\"o} \gdefchar^^f7{$\div$} \gdefchar^^f8{\v r} \gdefchar^^f9{\ringaccent u} \gdefchar^^fa{\'u} \gdefchar^^fb{\H u} \gdefchar^^fc{\"u} \gdefchar^^fd{\'y} \gdefchar^^fe{\cedilla t} \gdefchar^^ff{\dotaccent{}} } % UTF-8 character definitions. % % This code to support UTF-8 is based on LaTeX's utf8.def, with some % changes for Texinfo conventions. It is included here under the GPL by % permission from Frank Mittelbach and the LaTeX team. % \newcount\countUTFx \newcount\countUTFy \newcount\countUTFz \gdef\UTFviiiTwoOctets#1#2{\expandafter \UTFviiiDefined\csname u8:#1\string #2\endcsname} % \gdef\UTFviiiThreeOctets#1#2#3{\expandafter \UTFviiiDefined\csname u8:#1\string #2\string #3\endcsname} % \gdef\UTFviiiFourOctets#1#2#3#4{\expandafter \UTFviiiDefined\csname u8:#1\string #2\string #3\string #4\endcsname} \gdef\UTFviiiDefined#1{% \ifx #1\relax \message{\linenumber Unicode char \string #1 not defined for Texinfo}% \else \expandafter #1% \fi } % Give non-ASCII bytes the active definitions for processing UTF-8 sequences \begingroup \catcode`\~13 \catcode`\$12 \catcode`\"12 % Loop from \countUTFx to \countUTFy, performing \UTFviiiTmp % substituting ~ and $ with a character token of that value. \def\UTFviiiLoop{% \global\catcode\countUTFx\active \uccode`\~\countUTFx \uccode`\$\countUTFx \uppercase\expandafter{\UTFviiiTmp}% \advance\countUTFx by 1 \ifnum\countUTFx < \countUTFy \expandafter\UTFviiiLoop \fi} % For bytes other than the first in a UTF-8 sequence. Not expected to % be expanded except when writing to auxiliary files. \countUTFx = "80 \countUTFy = "C2 \def\UTFviiiTmp{% \gdef~{% \ifpassthroughchars $\fi}}% \UTFviiiLoop \countUTFx = "C2 \countUTFy = "E0 \def\UTFviiiTmp{% \gdef~{% \ifpassthroughchars $% \else\expandafter\UTFviiiTwoOctets\expandafter$\fi}}% \UTFviiiLoop \countUTFx = "E0 \countUTFy = "F0 \def\UTFviiiTmp{% \gdef~{% \ifpassthroughchars $% \else\expandafter\UTFviiiThreeOctets\expandafter$\fi}}% \UTFviiiLoop \countUTFx = "F0 \countUTFy = "F4 \def\UTFviiiTmp{% \gdef~{% \ifpassthroughchars $% \else\expandafter\UTFviiiFourOctets\expandafter$\fi }}% \UTFviiiLoop \endgroup \def\globallet{\global\let} % save some \expandafter's below % @U{xxxx} to produce U+xxxx, if we support it. \def\U#1{% \expandafter\ifx\csname uni:#1\endcsname \relax \iftxinativeunicodecapable % All Unicode characters can be used if native Unicode handling is % active. However, if the font does not have the glyph, % letters are missing. \begingroup \uccode`\.="#1\relax \uppercase{.} \endgroup \else \errhelp = \EMsimple \errmessage{Unicode character U+#1 not supported, sorry}% \fi \else \csname uni:#1\endcsname \fi } % These macros are used here to construct the name of a control % sequence to be defined. \def\UTFviiiTwoOctetsName#1#2{% \csname u8:#1\string #2\endcsname}% \def\UTFviiiThreeOctetsName#1#2#3{% \csname u8:#1\string #2\string #3\endcsname}% \def\UTFviiiFourOctetsName#1#2#3#4{% \csname u8:#1\string #2\string #3\string #4\endcsname}% % For UTF-8 byte sequences (TeX, e-TeX and pdfTeX), % provide a definition macro to replace a Unicode character; % this gets used by the @U command % \begingroup \catcode`\"=12 \catcode`\<=12 \catcode`\.=12 \catcode`\,=12 \catcode`\;=12 \catcode`\!=12 \catcode`\~=13 \gdef\DeclareUnicodeCharacterUTFviii#1#2{% \countUTFz = "#1\relax \begingroup \parseXMLCharref % Give \u8:... its definition. The sequence of seven \expandafter's % expands after the \gdef three times, e.g. % % 1. \UTFviiTwoOctetsName B1 B2 % 2. \csname u8:B1 \string B2 \endcsname % 3. \u8: B1 B2 (a single control sequence token) % \expandafter\expandafter \expandafter\expandafter \expandafter\expandafter \expandafter\gdef \UTFviiiTmp{#2}% % \expandafter\ifx\csname uni:#1\endcsname \relax \else \message{Internal error, already defined: #1}% \fi % % define an additional control sequence for this code point. \expandafter\globallet\csname uni:#1\endcsname \UTFviiiTmp \endgroup} % % Given the value in \countUTFz as a Unicode code point, set \UTFviiiTmp % to the corresponding UTF-8 sequence. \gdef\parseXMLCharref{% \ifnum\countUTFz < "A0\relax \errhelp = \EMsimple \errmessage{Cannot define Unicode char value < 00A0}% \else\ifnum\countUTFz < "800\relax \parseUTFviiiA,% \parseUTFviiiB C\UTFviiiTwoOctetsName.,% \else\ifnum\countUTFz < "10000\relax \parseUTFviiiA;% \parseUTFviiiA,% \parseUTFviiiB E\UTFviiiThreeOctetsName.{,;}% \else \parseUTFviiiA;% \parseUTFviiiA,% \parseUTFviiiA!% \parseUTFviiiB F\UTFviiiFourOctetsName.{!,;}% \fi\fi\fi } % Extract a byte from the end of the UTF-8 representation of \countUTFx. % It must be a non-initial byte in the sequence. % Change \uccode of #1 for it to be used in \parseUTFviiiB as one % of the bytes. \gdef\parseUTFviiiA#1{% \countUTFx = \countUTFz \divide\countUTFz by 64 \countUTFy = \countUTFz % Save to be the future value of \countUTFz. \multiply\countUTFz by 64 % \countUTFz is now \countUTFx with the last 5 bits cleared. Subtract % in order to get the last five bits. \advance\countUTFx by -\countUTFz % Convert this to the byte in the UTF-8 sequence. \advance\countUTFx by 128 \uccode `#1\countUTFx \countUTFz = \countUTFy} % Used to put a UTF-8 byte sequence into \UTFviiiTmp % #1 is the increment for \countUTFz to yield a the first byte of the UTF-8 % sequence. % #2 is one of the \UTFviii*OctetsName macros. % #3 is always a full stop (.) % #4 is a template for the other bytes in the sequence. The values for these % bytes is substituted in here with \uppercase using the \uccode's. \gdef\parseUTFviiiB#1#2#3#4{% \advance\countUTFz by "#10\relax \uccode `#3\countUTFz \uppercase{\gdef\UTFviiiTmp{#2#3#4}}} \endgroup % For native Unicode handling (XeTeX and LuaTeX), % provide a definition macro that sets a catcode to `other' non-globally % \def\DeclareUnicodeCharacterNativeOther#1#2{% \catcode"#1=\other } % https://en.wikipedia.org/wiki/Plane_(Unicode)#Basic_M % U+0000..U+007F = https://en.wikipedia.org/wiki/Basic_Latin_(Unicode_block) % U+0080..U+00FF = https://en.wikipedia.org/wiki/Latin-1_Supplement_(Unicode_block) % U+0100..U+017F = https://en.wikipedia.org/wiki/Latin_Extended-A % U+0180..U+024F = https://en.wikipedia.org/wiki/Latin_Extended-B % % Many of our renditions are less than wonderful, and all the missing % characters are available somewhere. Loading the necessary fonts % awaits user request. We can't truly support Unicode without % reimplementing everything that's been done in LaTeX for many years, % plus probably using luatex or xetex, and who knows what else. % We won't be doing that here in this simple file. But we can try to at % least make most of the characters not bomb out. % \def\unicodechardefs{% \DeclareUnicodeCharacter{00A0}{\tie}% \DeclareUnicodeCharacter{00A1}{\exclamdown}% \DeclareUnicodeCharacter{00A2}{{\tcfont \char162}}% 0242=cent \DeclareUnicodeCharacter{00A3}{\pounds{}}% \DeclareUnicodeCharacter{00A4}{{\tcfont \char164}}% 0244=currency \DeclareUnicodeCharacter{00A5}{{\tcfont \char165}}% 0245=yen \DeclareUnicodeCharacter{00A6}{{\tcfont \char166}}% 0246=brokenbar \DeclareUnicodeCharacter{00A7}{\S}% \DeclareUnicodeCharacter{00A8}{\"{ }}% \DeclareUnicodeCharacter{00A9}{\copyright{}}% \DeclareUnicodeCharacter{00AA}{\ordf}% \DeclareUnicodeCharacter{00AB}{\guillemetleft{}}% \DeclareUnicodeCharacter{00AC}{\ensuremath\lnot}% \DeclareUnicodeCharacter{00AD}{\-}% \DeclareUnicodeCharacter{00AE}{\registeredsymbol{}}% \DeclareUnicodeCharacter{00AF}{\={ }}% % \DeclareUnicodeCharacter{00B0}{\ringaccent{ }}% \DeclareUnicodeCharacter{00B1}{\ensuremath\pm}% \DeclareUnicodeCharacter{00B2}{$^2$}% \DeclareUnicodeCharacter{00B3}{$^3$}% \DeclareUnicodeCharacter{00B4}{\'{ }}% \DeclareUnicodeCharacter{00B5}{$\mu$}% \DeclareUnicodeCharacter{00B6}{\P}% \DeclareUnicodeCharacter{00B7}{\ensuremath\cdot}% \DeclareUnicodeCharacter{00B8}{\cedilla{ }}% \DeclareUnicodeCharacter{00B9}{$^1$}% \DeclareUnicodeCharacter{00BA}{\ordm}% \DeclareUnicodeCharacter{00BB}{\guillemetright{}}% \DeclareUnicodeCharacter{00BC}{$1\over4$}% \DeclareUnicodeCharacter{00BD}{$1\over2$}% \DeclareUnicodeCharacter{00BE}{$3\over4$}% \DeclareUnicodeCharacter{00BF}{\questiondown}% % \DeclareUnicodeCharacter{00C0}{\`A}% \DeclareUnicodeCharacter{00C1}{\'A}% \DeclareUnicodeCharacter{00C2}{\^A}% \DeclareUnicodeCharacter{00C3}{\~A}% \DeclareUnicodeCharacter{00C4}{\"A}% \DeclareUnicodeCharacter{00C5}{\AA}% \DeclareUnicodeCharacter{00C6}{\AE}% \DeclareUnicodeCharacter{00C7}{\cedilla{C}}% \DeclareUnicodeCharacter{00C8}{\`E}% \DeclareUnicodeCharacter{00C9}{\'E}% \DeclareUnicodeCharacter{00CA}{\^E}% \DeclareUnicodeCharacter{00CB}{\"E}% \DeclareUnicodeCharacter{00CC}{\`I}% \DeclareUnicodeCharacter{00CD}{\'I}% \DeclareUnicodeCharacter{00CE}{\^I}% \DeclareUnicodeCharacter{00CF}{\"I}% % \DeclareUnicodeCharacter{00D0}{\DH}% \DeclareUnicodeCharacter{00D1}{\~N}% \DeclareUnicodeCharacter{00D2}{\`O}% \DeclareUnicodeCharacter{00D3}{\'O}% \DeclareUnicodeCharacter{00D4}{\^O}% \DeclareUnicodeCharacter{00D5}{\~O}% \DeclareUnicodeCharacter{00D6}{\"O}% \DeclareUnicodeCharacter{00D7}{\ensuremath\times}% \DeclareUnicodeCharacter{00D8}{\O}% \DeclareUnicodeCharacter{00D9}{\`U}% \DeclareUnicodeCharacter{00DA}{\'U}% \DeclareUnicodeCharacter{00DB}{\^U}% \DeclareUnicodeCharacter{00DC}{\"U}% \DeclareUnicodeCharacter{00DD}{\'Y}% \DeclareUnicodeCharacter{00DE}{\TH}% \DeclareUnicodeCharacter{00DF}{\ss}% % \DeclareUnicodeCharacter{00E0}{\`a}% \DeclareUnicodeCharacter{00E1}{\'a}% \DeclareUnicodeCharacter{00E2}{\^a}% \DeclareUnicodeCharacter{00E3}{\~a}% \DeclareUnicodeCharacter{00E4}{\"a}% \DeclareUnicodeCharacter{00E5}{\aa}% \DeclareUnicodeCharacter{00E6}{\ae}% \DeclareUnicodeCharacter{00E7}{\cedilla{c}}% \DeclareUnicodeCharacter{00E8}{\`e}% \DeclareUnicodeCharacter{00E9}{\'e}% \DeclareUnicodeCharacter{00EA}{\^e}% \DeclareUnicodeCharacter{00EB}{\"e}% \DeclareUnicodeCharacter{00EC}{\`{\dotless{i}}}% \DeclareUnicodeCharacter{00ED}{\'{\dotless{i}}}% \DeclareUnicodeCharacter{00EE}{\^{\dotless{i}}}% \DeclareUnicodeCharacter{00EF}{\"{\dotless{i}}}% % \DeclareUnicodeCharacter{00F0}{\dh}% \DeclareUnicodeCharacter{00F1}{\~n}% \DeclareUnicodeCharacter{00F2}{\`o}% \DeclareUnicodeCharacter{00F3}{\'o}% \DeclareUnicodeCharacter{00F4}{\^o}% \DeclareUnicodeCharacter{00F5}{\~o}% \DeclareUnicodeCharacter{00F6}{\"o}% \DeclareUnicodeCharacter{00F7}{\ensuremath\div}% \DeclareUnicodeCharacter{00F8}{\o}% \DeclareUnicodeCharacter{00F9}{\`u}% \DeclareUnicodeCharacter{00FA}{\'u}% \DeclareUnicodeCharacter{00FB}{\^u}% \DeclareUnicodeCharacter{00FC}{\"u}% \DeclareUnicodeCharacter{00FD}{\'y}% \DeclareUnicodeCharacter{00FE}{\th}% \DeclareUnicodeCharacter{00FF}{\"y}% % \DeclareUnicodeCharacter{0100}{\=A}% \DeclareUnicodeCharacter{0101}{\=a}% \DeclareUnicodeCharacter{0102}{\u{A}}% \DeclareUnicodeCharacter{0103}{\u{a}}% \DeclareUnicodeCharacter{0104}{\ogonek{A}}% \DeclareUnicodeCharacter{0105}{\ogonek{a}}% \DeclareUnicodeCharacter{0106}{\'C}% \DeclareUnicodeCharacter{0107}{\'c}% \DeclareUnicodeCharacter{0108}{\^C}% \DeclareUnicodeCharacter{0109}{\^c}% \DeclareUnicodeCharacter{010A}{\dotaccent{C}}% \DeclareUnicodeCharacter{010B}{\dotaccent{c}}% \DeclareUnicodeCharacter{010C}{\v{C}}% \DeclareUnicodeCharacter{010D}{\v{c}}% \DeclareUnicodeCharacter{010E}{\v{D}}% \DeclareUnicodeCharacter{010F}{d'}% % \DeclareUnicodeCharacter{0110}{\DH}% \DeclareUnicodeCharacter{0111}{\dh}% \DeclareUnicodeCharacter{0112}{\=E}% \DeclareUnicodeCharacter{0113}{\=e}% \DeclareUnicodeCharacter{0114}{\u{E}}% \DeclareUnicodeCharacter{0115}{\u{e}}% \DeclareUnicodeCharacter{0116}{\dotaccent{E}}% \DeclareUnicodeCharacter{0117}{\dotaccent{e}}% \DeclareUnicodeCharacter{0118}{\ogonek{E}}% \DeclareUnicodeCharacter{0119}{\ogonek{e}}% \DeclareUnicodeCharacter{011A}{\v{E}}% \DeclareUnicodeCharacter{011B}{\v{e}}% \DeclareUnicodeCharacter{011C}{\^G}% \DeclareUnicodeCharacter{011D}{\^g}% \DeclareUnicodeCharacter{011E}{\u{G}}% \DeclareUnicodeCharacter{011F}{\u{g}}% % \DeclareUnicodeCharacter{0120}{\dotaccent{G}}% \DeclareUnicodeCharacter{0121}{\dotaccent{g}}% \DeclareUnicodeCharacter{0122}{\cedilla{G}}% \DeclareUnicodeCharacter{0123}{\cedilla{g}}% \DeclareUnicodeCharacter{0124}{\^H}% \DeclareUnicodeCharacter{0125}{\^h}% \DeclareUnicodeCharacter{0126}{\missingcharmsg{H WITH STROKE}}% \DeclareUnicodeCharacter{0127}{\missingcharmsg{h WITH STROKE}}% \DeclareUnicodeCharacter{0128}{\~I}% \DeclareUnicodeCharacter{0129}{\~{\dotless{i}}}% \DeclareUnicodeCharacter{012A}{\=I}% \DeclareUnicodeCharacter{012B}{\={\dotless{i}}}% \DeclareUnicodeCharacter{012C}{\u{I}}% \DeclareUnicodeCharacter{012D}{\u{\dotless{i}}}% \DeclareUnicodeCharacter{012E}{\ogonek{I}}% \DeclareUnicodeCharacter{012F}{\ogonek{i}}% % \DeclareUnicodeCharacter{0130}{\dotaccent{I}}% \DeclareUnicodeCharacter{0131}{\dotless{i}}% \DeclareUnicodeCharacter{0132}{IJ}% \DeclareUnicodeCharacter{0133}{ij}% \DeclareUnicodeCharacter{0134}{\^J}% \DeclareUnicodeCharacter{0135}{\^{\dotless{j}}}% \DeclareUnicodeCharacter{0136}{\cedilla{K}}% \DeclareUnicodeCharacter{0137}{\cedilla{k}}% \DeclareUnicodeCharacter{0138}{\ensuremath\kappa}% \DeclareUnicodeCharacter{0139}{\'L}% \DeclareUnicodeCharacter{013A}{\'l}% \DeclareUnicodeCharacter{013B}{\cedilla{L}}% \DeclareUnicodeCharacter{013C}{\cedilla{l}}% \DeclareUnicodeCharacter{013D}{L'}% should kern \DeclareUnicodeCharacter{013E}{l'}% should kern \DeclareUnicodeCharacter{013F}{L\U{00B7}}% % \DeclareUnicodeCharacter{0140}{l\U{00B7}}% \DeclareUnicodeCharacter{0141}{\L}% \DeclareUnicodeCharacter{0142}{\l}% \DeclareUnicodeCharacter{0143}{\'N}% \DeclareUnicodeCharacter{0144}{\'n}% \DeclareUnicodeCharacter{0145}{\cedilla{N}}% \DeclareUnicodeCharacter{0146}{\cedilla{n}}% \DeclareUnicodeCharacter{0147}{\v{N}}% \DeclareUnicodeCharacter{0148}{\v{n}}% \DeclareUnicodeCharacter{0149}{'n}% \DeclareUnicodeCharacter{014A}{\missingcharmsg{ENG}}% \DeclareUnicodeCharacter{014B}{\missingcharmsg{eng}}% \DeclareUnicodeCharacter{014C}{\=O}% \DeclareUnicodeCharacter{014D}{\=o}% \DeclareUnicodeCharacter{014E}{\u{O}}% \DeclareUnicodeCharacter{014F}{\u{o}}% % \DeclareUnicodeCharacter{0150}{\H{O}}% \DeclareUnicodeCharacter{0151}{\H{o}}% \DeclareUnicodeCharacter{0152}{\OE}% \DeclareUnicodeCharacter{0153}{\oe}% \DeclareUnicodeCharacter{0154}{\'R}% \DeclareUnicodeCharacter{0155}{\'r}% \DeclareUnicodeCharacter{0156}{\cedilla{R}}% \DeclareUnicodeCharacter{0157}{\cedilla{r}}% \DeclareUnicodeCharacter{0158}{\v{R}}% \DeclareUnicodeCharacter{0159}{\v{r}}% \DeclareUnicodeCharacter{015A}{\'S}% \DeclareUnicodeCharacter{015B}{\'s}% \DeclareUnicodeCharacter{015C}{\^S}% \DeclareUnicodeCharacter{015D}{\^s}% \DeclareUnicodeCharacter{015E}{\cedilla{S}}% \DeclareUnicodeCharacter{015F}{\cedilla{s}}% % \DeclareUnicodeCharacter{0160}{\v{S}}% \DeclareUnicodeCharacter{0161}{\v{s}}% \DeclareUnicodeCharacter{0162}{\cedilla{T}}% \DeclareUnicodeCharacter{0163}{\cedilla{t}}% \DeclareUnicodeCharacter{0164}{\v{T}}% \DeclareUnicodeCharacter{0165}{\v{t}}% \DeclareUnicodeCharacter{0166}{\missingcharmsg{H WITH STROKE}}% \DeclareUnicodeCharacter{0167}{\missingcharmsg{h WITH STROKE}}% \DeclareUnicodeCharacter{0168}{\~U}% \DeclareUnicodeCharacter{0169}{\~u}% \DeclareUnicodeCharacter{016A}{\=U}% \DeclareUnicodeCharacter{016B}{\=u}% \DeclareUnicodeCharacter{016C}{\u{U}}% \DeclareUnicodeCharacter{016D}{\u{u}}% \DeclareUnicodeCharacter{016E}{\ringaccent{U}}% \DeclareUnicodeCharacter{016F}{\ringaccent{u}}% % \DeclareUnicodeCharacter{0170}{\H{U}}% \DeclareUnicodeCharacter{0171}{\H{u}}% \DeclareUnicodeCharacter{0172}{\ogonek{U}}% \DeclareUnicodeCharacter{0173}{\ogonek{u}}% \DeclareUnicodeCharacter{0174}{\^W}% \DeclareUnicodeCharacter{0175}{\^w}% \DeclareUnicodeCharacter{0176}{\^Y}% \DeclareUnicodeCharacter{0177}{\^y}% \DeclareUnicodeCharacter{0178}{\"Y}% \DeclareUnicodeCharacter{0179}{\'Z}% \DeclareUnicodeCharacter{017A}{\'z}% \DeclareUnicodeCharacter{017B}{\dotaccent{Z}}% \DeclareUnicodeCharacter{017C}{\dotaccent{z}}% \DeclareUnicodeCharacter{017D}{\v{Z}}% \DeclareUnicodeCharacter{017E}{\v{z}}% \DeclareUnicodeCharacter{017F}{\missingcharmsg{LONG S}}% % \DeclareUnicodeCharacter{01C4}{D\v{Z}}% \DeclareUnicodeCharacter{01C5}{D\v{z}}% \DeclareUnicodeCharacter{01C6}{d\v{z}}% \DeclareUnicodeCharacter{01C7}{LJ}% \DeclareUnicodeCharacter{01C8}{Lj}% \DeclareUnicodeCharacter{01C9}{lj}% \DeclareUnicodeCharacter{01CA}{NJ}% \DeclareUnicodeCharacter{01CB}{Nj}% \DeclareUnicodeCharacter{01CC}{nj}% \DeclareUnicodeCharacter{01CD}{\v{A}}% \DeclareUnicodeCharacter{01CE}{\v{a}}% \DeclareUnicodeCharacter{01CF}{\v{I}}% % \DeclareUnicodeCharacter{01D0}{\v{\dotless{i}}}% \DeclareUnicodeCharacter{01D1}{\v{O}}% \DeclareUnicodeCharacter{01D2}{\v{o}}% \DeclareUnicodeCharacter{01D3}{\v{U}}% \DeclareUnicodeCharacter{01D4}{\v{u}}% % \DeclareUnicodeCharacter{01E2}{\={\AE}}% \DeclareUnicodeCharacter{01E3}{\={\ae}}% \DeclareUnicodeCharacter{01E6}{\v{G}}% \DeclareUnicodeCharacter{01E7}{\v{g}}% \DeclareUnicodeCharacter{01E8}{\v{K}}% \DeclareUnicodeCharacter{01E9}{\v{k}}% % \DeclareUnicodeCharacter{01F0}{\v{\dotless{j}}}% \DeclareUnicodeCharacter{01F1}{DZ}% \DeclareUnicodeCharacter{01F2}{Dz}% \DeclareUnicodeCharacter{01F3}{dz}% \DeclareUnicodeCharacter{01F4}{\'G}% \DeclareUnicodeCharacter{01F5}{\'g}% \DeclareUnicodeCharacter{01F8}{\`N}% \DeclareUnicodeCharacter{01F9}{\`n}% \DeclareUnicodeCharacter{01FC}{\'{\AE}}% \DeclareUnicodeCharacter{01FD}{\'{\ae}}% \DeclareUnicodeCharacter{01FE}{\'{\O}}% \DeclareUnicodeCharacter{01FF}{\'{\o}}% % \DeclareUnicodeCharacter{021E}{\v{H}}% \DeclareUnicodeCharacter{021F}{\v{h}}% % \DeclareUnicodeCharacter{0226}{\dotaccent{A}}% \DeclareUnicodeCharacter{0227}{\dotaccent{a}}% \DeclareUnicodeCharacter{0228}{\cedilla{E}}% \DeclareUnicodeCharacter{0229}{\cedilla{e}}% \DeclareUnicodeCharacter{022E}{\dotaccent{O}}% \DeclareUnicodeCharacter{022F}{\dotaccent{o}}% % \DeclareUnicodeCharacter{0232}{\=Y}% \DeclareUnicodeCharacter{0233}{\=y}% \DeclareUnicodeCharacter{0237}{\dotless{j}}% % \DeclareUnicodeCharacter{02BC}{'}% % \DeclareUnicodeCharacter{02DB}{\ogonek{ }}% % % Greek letters upper case \DeclareUnicodeCharacter{0391}{{\it A}}% \DeclareUnicodeCharacter{0392}{{\it B}}% \DeclareUnicodeCharacter{0393}{\ensuremath{\mit\Gamma}}% \DeclareUnicodeCharacter{0394}{\ensuremath{\mit\Delta}}% \DeclareUnicodeCharacter{0395}{{\it E}}% \DeclareUnicodeCharacter{0396}{{\it Z}}% \DeclareUnicodeCharacter{0397}{{\it H}}% \DeclareUnicodeCharacter{0398}{\ensuremath{\mit\Theta}}% \DeclareUnicodeCharacter{0399}{{\it I}}% \DeclareUnicodeCharacter{039A}{{\it K}}% \DeclareUnicodeCharacter{039B}{\ensuremath{\mit\Lambda}}% \DeclareUnicodeCharacter{039C}{{\it M}}% \DeclareUnicodeCharacter{039D}{{\it N}}% \DeclareUnicodeCharacter{039E}{\ensuremath{\mit\Xi}}% \DeclareUnicodeCharacter{039F}{{\it O}}% \DeclareUnicodeCharacter{03A0}{\ensuremath{\mit\Pi}}% \DeclareUnicodeCharacter{03A1}{{\it P}}% %\DeclareUnicodeCharacter{03A2}{} % none - corresponds to final sigma \DeclareUnicodeCharacter{03A3}{\ensuremath{\mit\Sigma}}% \DeclareUnicodeCharacter{03A4}{{\it T}}% \DeclareUnicodeCharacter{03A5}{\ensuremath{\mit\Upsilon}}% \DeclareUnicodeCharacter{03A6}{\ensuremath{\mit\Phi}}% \DeclareUnicodeCharacter{03A7}{{\it X}}% \DeclareUnicodeCharacter{03A8}{\ensuremath{\mit\Psi}}% \DeclareUnicodeCharacter{03A9}{\ensuremath{\mit\Omega}}% % % Vowels with accents \DeclareUnicodeCharacter{0390}{\ensuremath{\ddot{\acute\iota}}}% \DeclareUnicodeCharacter{03AC}{\ensuremath{\acute\alpha}}% \DeclareUnicodeCharacter{03AD}{\ensuremath{\acute\epsilon}}% \DeclareUnicodeCharacter{03AE}{\ensuremath{\acute\eta}}% \DeclareUnicodeCharacter{03AF}{\ensuremath{\acute\iota}}% \DeclareUnicodeCharacter{03B0}{\ensuremath{\acute{\ddot\upsilon}}}% % % Standalone accent \DeclareUnicodeCharacter{0384}{\ensuremath{\acute{\ }}}% % % Greek letters lower case \DeclareUnicodeCharacter{03B1}{\ensuremath\alpha}% \DeclareUnicodeCharacter{03B2}{\ensuremath\beta}% \DeclareUnicodeCharacter{03B3}{\ensuremath\gamma}% \DeclareUnicodeCharacter{03B4}{\ensuremath\delta}% \DeclareUnicodeCharacter{03B5}{\ensuremath\epsilon}% \DeclareUnicodeCharacter{03B6}{\ensuremath\zeta}% \DeclareUnicodeCharacter{03B7}{\ensuremath\eta}% \DeclareUnicodeCharacter{03B8}{\ensuremath\theta}% \DeclareUnicodeCharacter{03B9}{\ensuremath\iota}% \DeclareUnicodeCharacter{03BA}{\ensuremath\kappa}% \DeclareUnicodeCharacter{03BB}{\ensuremath\lambda}% \DeclareUnicodeCharacter{03BC}{\ensuremath\mu}% \DeclareUnicodeCharacter{03BD}{\ensuremath\nu}% \DeclareUnicodeCharacter{03BE}{\ensuremath\xi}% \DeclareUnicodeCharacter{03BF}{{\it o}}% omicron \DeclareUnicodeCharacter{03C0}{\ensuremath\pi}% \DeclareUnicodeCharacter{03C1}{\ensuremath\rho}% \DeclareUnicodeCharacter{03C2}{\ensuremath\varsigma}% \DeclareUnicodeCharacter{03C3}{\ensuremath\sigma}% \DeclareUnicodeCharacter{03C4}{\ensuremath\tau}% \DeclareUnicodeCharacter{03C5}{\ensuremath\upsilon}% \DeclareUnicodeCharacter{03C6}{\ensuremath\phi}% \DeclareUnicodeCharacter{03C7}{\ensuremath\chi}% \DeclareUnicodeCharacter{03C8}{\ensuremath\psi}% \DeclareUnicodeCharacter{03C9}{\ensuremath\omega}% % % More Greek vowels with accents \DeclareUnicodeCharacter{03CA}{\ensuremath{\ddot\iota}}% \DeclareUnicodeCharacter{03CB}{\ensuremath{\ddot\upsilon}}% \DeclareUnicodeCharacter{03CC}{\ensuremath{\acute o}}% \DeclareUnicodeCharacter{03CD}{\ensuremath{\acute\upsilon}}% \DeclareUnicodeCharacter{03CE}{\ensuremath{\acute\omega}}% % % Variant Greek letters \DeclareUnicodeCharacter{03D1}{\ensuremath\vartheta}% \DeclareUnicodeCharacter{03D6}{\ensuremath\varpi}% \DeclareUnicodeCharacter{03F1}{\ensuremath\varrho}% % \DeclareUnicodeCharacter{1E02}{\dotaccent{B}}% \DeclareUnicodeCharacter{1E03}{\dotaccent{b}}% \DeclareUnicodeCharacter{1E04}{\udotaccent{B}}% \DeclareUnicodeCharacter{1E05}{\udotaccent{b}}% \DeclareUnicodeCharacter{1E06}{\ubaraccent{B}}% \DeclareUnicodeCharacter{1E07}{\ubaraccent{b}}% \DeclareUnicodeCharacter{1E0A}{\dotaccent{D}}% \DeclareUnicodeCharacter{1E0B}{\dotaccent{d}}% \DeclareUnicodeCharacter{1E0C}{\udotaccent{D}}% \DeclareUnicodeCharacter{1E0D}{\udotaccent{d}}% \DeclareUnicodeCharacter{1E0E}{\ubaraccent{D}}% \DeclareUnicodeCharacter{1E0F}{\ubaraccent{d}}% % \DeclareUnicodeCharacter{1E1E}{\dotaccent{F}}% \DeclareUnicodeCharacter{1E1F}{\dotaccent{f}}% % \DeclareUnicodeCharacter{1E20}{\=G}% \DeclareUnicodeCharacter{1E21}{\=g}% \DeclareUnicodeCharacter{1E22}{\dotaccent{H}}% \DeclareUnicodeCharacter{1E23}{\dotaccent{h}}% \DeclareUnicodeCharacter{1E24}{\udotaccent{H}}% \DeclareUnicodeCharacter{1E25}{\udotaccent{h}}% \DeclareUnicodeCharacter{1E26}{\"H}% \DeclareUnicodeCharacter{1E27}{\"h}% % \DeclareUnicodeCharacter{1E30}{\'K}% \DeclareUnicodeCharacter{1E31}{\'k}% \DeclareUnicodeCharacter{1E32}{\udotaccent{K}}% \DeclareUnicodeCharacter{1E33}{\udotaccent{k}}% \DeclareUnicodeCharacter{1E34}{\ubaraccent{K}}% \DeclareUnicodeCharacter{1E35}{\ubaraccent{k}}% \DeclareUnicodeCharacter{1E36}{\udotaccent{L}}% \DeclareUnicodeCharacter{1E37}{\udotaccent{l}}% \DeclareUnicodeCharacter{1E3A}{\ubaraccent{L}}% \DeclareUnicodeCharacter{1E3B}{\ubaraccent{l}}% \DeclareUnicodeCharacter{1E3E}{\'M}% \DeclareUnicodeCharacter{1E3F}{\'m}% % \DeclareUnicodeCharacter{1E40}{\dotaccent{M}}% \DeclareUnicodeCharacter{1E41}{\dotaccent{m}}% \DeclareUnicodeCharacter{1E42}{\udotaccent{M}}% \DeclareUnicodeCharacter{1E43}{\udotaccent{m}}% \DeclareUnicodeCharacter{1E44}{\dotaccent{N}}% \DeclareUnicodeCharacter{1E45}{\dotaccent{n}}% \DeclareUnicodeCharacter{1E46}{\udotaccent{N}}% \DeclareUnicodeCharacter{1E47}{\udotaccent{n}}% \DeclareUnicodeCharacter{1E48}{\ubaraccent{N}}% \DeclareUnicodeCharacter{1E49}{\ubaraccent{n}}% % \DeclareUnicodeCharacter{1E54}{\'P}% \DeclareUnicodeCharacter{1E55}{\'p}% \DeclareUnicodeCharacter{1E56}{\dotaccent{P}}% \DeclareUnicodeCharacter{1E57}{\dotaccent{p}}% \DeclareUnicodeCharacter{1E58}{\dotaccent{R}}% \DeclareUnicodeCharacter{1E59}{\dotaccent{r}}% \DeclareUnicodeCharacter{1E5A}{\udotaccent{R}}% \DeclareUnicodeCharacter{1E5B}{\udotaccent{r}}% \DeclareUnicodeCharacter{1E5E}{\ubaraccent{R}}% \DeclareUnicodeCharacter{1E5F}{\ubaraccent{r}}% % \DeclareUnicodeCharacter{1E60}{\dotaccent{S}}% \DeclareUnicodeCharacter{1E61}{\dotaccent{s}}% \DeclareUnicodeCharacter{1E62}{\udotaccent{S}}% \DeclareUnicodeCharacter{1E63}{\udotaccent{s}}% \DeclareUnicodeCharacter{1E6A}{\dotaccent{T}}% \DeclareUnicodeCharacter{1E6B}{\dotaccent{t}}% \DeclareUnicodeCharacter{1E6C}{\udotaccent{T}}% \DeclareUnicodeCharacter{1E6D}{\udotaccent{t}}% \DeclareUnicodeCharacter{1E6E}{\ubaraccent{T}}% \DeclareUnicodeCharacter{1E6F}{\ubaraccent{t}}% % \DeclareUnicodeCharacter{1E7C}{\~V}% \DeclareUnicodeCharacter{1E7D}{\~v}% \DeclareUnicodeCharacter{1E7E}{\udotaccent{V}}% \DeclareUnicodeCharacter{1E7F}{\udotaccent{v}}% % \DeclareUnicodeCharacter{1E80}{\`W}% \DeclareUnicodeCharacter{1E81}{\`w}% \DeclareUnicodeCharacter{1E82}{\'W}% \DeclareUnicodeCharacter{1E83}{\'w}% \DeclareUnicodeCharacter{1E84}{\"W}% \DeclareUnicodeCharacter{1E85}{\"w}% \DeclareUnicodeCharacter{1E86}{\dotaccent{W}}% \DeclareUnicodeCharacter{1E87}{\dotaccent{w}}% \DeclareUnicodeCharacter{1E88}{\udotaccent{W}}% \DeclareUnicodeCharacter{1E89}{\udotaccent{w}}% \DeclareUnicodeCharacter{1E8A}{\dotaccent{X}}% \DeclareUnicodeCharacter{1E8B}{\dotaccent{x}}% \DeclareUnicodeCharacter{1E8C}{\"X}% \DeclareUnicodeCharacter{1E8D}{\"x}% \DeclareUnicodeCharacter{1E8E}{\dotaccent{Y}}% \DeclareUnicodeCharacter{1E8F}{\dotaccent{y}}% % \DeclareUnicodeCharacter{1E90}{\^Z}% \DeclareUnicodeCharacter{1E91}{\^z}% \DeclareUnicodeCharacter{1E92}{\udotaccent{Z}}% \DeclareUnicodeCharacter{1E93}{\udotaccent{z}}% \DeclareUnicodeCharacter{1E94}{\ubaraccent{Z}}% \DeclareUnicodeCharacter{1E95}{\ubaraccent{z}}% \DeclareUnicodeCharacter{1E96}{\ubaraccent{h}}% \DeclareUnicodeCharacter{1E97}{\"t}% \DeclareUnicodeCharacter{1E98}{\ringaccent{w}}% \DeclareUnicodeCharacter{1E99}{\ringaccent{y}}% % \DeclareUnicodeCharacter{1EA0}{\udotaccent{A}}% \DeclareUnicodeCharacter{1EA1}{\udotaccent{a}}% % \DeclareUnicodeCharacter{1EB8}{\udotaccent{E}}% \DeclareUnicodeCharacter{1EB9}{\udotaccent{e}}% \DeclareUnicodeCharacter{1EBC}{\~E}% \DeclareUnicodeCharacter{1EBD}{\~e}% % \DeclareUnicodeCharacter{1ECA}{\udotaccent{I}}% \DeclareUnicodeCharacter{1ECB}{\udotaccent{i}}% \DeclareUnicodeCharacter{1ECC}{\udotaccent{O}}% \DeclareUnicodeCharacter{1ECD}{\udotaccent{o}}% % \DeclareUnicodeCharacter{1EE4}{\udotaccent{U}}% \DeclareUnicodeCharacter{1EE5}{\udotaccent{u}}% % \DeclareUnicodeCharacter{1EF2}{\`Y}% \DeclareUnicodeCharacter{1EF3}{\`y}% \DeclareUnicodeCharacter{1EF4}{\udotaccent{Y}}% % \DeclareUnicodeCharacter{1EF8}{\~Y}% \DeclareUnicodeCharacter{1EF9}{\~y}% % % Punctuation \DeclareUnicodeCharacter{2013}{--}% \DeclareUnicodeCharacter{2014}{---}% \DeclareUnicodeCharacter{2018}{\quoteleft{}}% \DeclareUnicodeCharacter{2019}{\quoteright{}}% \DeclareUnicodeCharacter{201A}{\quotesinglbase{}}% \DeclareUnicodeCharacter{201C}{\quotedblleft{}}% \DeclareUnicodeCharacter{201D}{\quotedblright{}}% \DeclareUnicodeCharacter{201E}{\quotedblbase{}}% \DeclareUnicodeCharacter{2020}{\ensuremath\dagger}% \DeclareUnicodeCharacter{2021}{\ensuremath\ddagger}% \DeclareUnicodeCharacter{2022}{\bullet{}}% \DeclareUnicodeCharacter{202F}{\thinspace}% \DeclareUnicodeCharacter{2026}{\dots{}}% \DeclareUnicodeCharacter{2039}{\guilsinglleft{}}% \DeclareUnicodeCharacter{203A}{\guilsinglright{}}% % \DeclareUnicodeCharacter{20AC}{\euro{}}% % \DeclareUnicodeCharacter{2192}{\expansion{}}% \DeclareUnicodeCharacter{21D2}{\result{}}% % % Mathematical symbols \DeclareUnicodeCharacter{2200}{\ensuremath\forall}% \DeclareUnicodeCharacter{2203}{\ensuremath\exists}% \DeclareUnicodeCharacter{2208}{\ensuremath\in}% \DeclareUnicodeCharacter{2212}{\minus{}}% \DeclareUnicodeCharacter{2217}{\ast}% \DeclareUnicodeCharacter{221E}{\ensuremath\infty}% \DeclareUnicodeCharacter{2225}{\ensuremath\parallel}% \DeclareUnicodeCharacter{2227}{\ensuremath\wedge}% \DeclareUnicodeCharacter{2229}{\ensuremath\cap}% \DeclareUnicodeCharacter{2261}{\equiv{}}% \DeclareUnicodeCharacter{2264}{\ensuremath\leq}% \DeclareUnicodeCharacter{2265}{\ensuremath\geq}% \DeclareUnicodeCharacter{2282}{\ensuremath\subset}% \DeclareUnicodeCharacter{2287}{\ensuremath\supseteq}% % \DeclareUnicodeCharacter{2016}{\ensuremath\Vert}% \DeclareUnicodeCharacter{2032}{\ensuremath\prime}% \DeclareUnicodeCharacter{210F}{\ensuremath\hbar}% \DeclareUnicodeCharacter{2111}{\ensuremath\Im}% \DeclareUnicodeCharacter{2113}{\ensuremath\ell}% \DeclareUnicodeCharacter{2118}{\ensuremath\wp}% \DeclareUnicodeCharacter{211C}{\ensuremath\Re}% \DeclareUnicodeCharacter{2135}{\ensuremath\aleph}% \DeclareUnicodeCharacter{2190}{\ensuremath\leftarrow}% \DeclareUnicodeCharacter{2191}{\ensuremath\uparrow}% \DeclareUnicodeCharacter{2193}{\ensuremath\downarrow}% \DeclareUnicodeCharacter{2194}{\ensuremath\leftrightarrow}% \DeclareUnicodeCharacter{2195}{\ensuremath\updownarrow}% \DeclareUnicodeCharacter{2196}{\ensuremath\nwarrow}% \DeclareUnicodeCharacter{2197}{\ensuremath\nearrow}% \DeclareUnicodeCharacter{2198}{\ensuremath\searrow}% \DeclareUnicodeCharacter{2199}{\ensuremath\swarrow}% \DeclareUnicodeCharacter{21A6}{\ensuremath\mapsto}% \DeclareUnicodeCharacter{21A9}{\ensuremath\hookleftarrow}% \DeclareUnicodeCharacter{21AA}{\ensuremath\hookrightarrow}% \DeclareUnicodeCharacter{21BC}{\ensuremath\leftharpoonup}% \DeclareUnicodeCharacter{21BD}{\ensuremath\leftharpoondown}% \DeclareUnicodeCharacter{21C0}{\ensuremath\rightharpoonup}% \DeclareUnicodeCharacter{21C1}{\ensuremath\rightharpoondown}% \DeclareUnicodeCharacter{21CC}{\ensuremath\rightleftharpoons}% \DeclareUnicodeCharacter{21D0}{\ensuremath\Leftarrow}% \DeclareUnicodeCharacter{21D1}{\ensuremath\Uparrow}% \DeclareUnicodeCharacter{21D3}{\ensuremath\Downarrow}% \DeclareUnicodeCharacter{21D4}{\ensuremath\Leftrightarrow}% \DeclareUnicodeCharacter{21D5}{\ensuremath\Updownarrow}% \DeclareUnicodeCharacter{2202}{\ensuremath\partial}% \DeclareUnicodeCharacter{2205}{\ensuremath\emptyset}% \DeclareUnicodeCharacter{2207}{\ensuremath\nabla}% \DeclareUnicodeCharacter{2209}{\ensuremath\notin}% \DeclareUnicodeCharacter{220B}{\ensuremath\owns}% \DeclareUnicodeCharacter{220F}{\ensuremath\prod}% \DeclareUnicodeCharacter{2210}{\ensuremath\coprod}% \DeclareUnicodeCharacter{2211}{\ensuremath\sum}% \DeclareUnicodeCharacter{2213}{\ensuremath\mp}% \DeclareUnicodeCharacter{2218}{\ensuremath\circ}% \DeclareUnicodeCharacter{221A}{\ensuremath\surd}% \DeclareUnicodeCharacter{221D}{\ensuremath\propto}% \DeclareUnicodeCharacter{2220}{\ensuremath\angle}% \DeclareUnicodeCharacter{2223}{\ensuremath\mid}% \DeclareUnicodeCharacter{2228}{\ensuremath\vee}% \DeclareUnicodeCharacter{222A}{\ensuremath\cup}% \DeclareUnicodeCharacter{222B}{\ensuremath\smallint}% \DeclareUnicodeCharacter{222E}{\ensuremath\oint}% \DeclareUnicodeCharacter{223C}{\ensuremath\sim}% \DeclareUnicodeCharacter{2240}{\ensuremath\wr}% \DeclareUnicodeCharacter{2243}{\ensuremath\simeq}% \DeclareUnicodeCharacter{2245}{\ensuremath\cong}% \DeclareUnicodeCharacter{2248}{\ensuremath\approx}% \DeclareUnicodeCharacter{224D}{\ensuremath\asymp}% \DeclareUnicodeCharacter{2250}{\ensuremath\doteq}% \DeclareUnicodeCharacter{2260}{\ensuremath\neq}% \DeclareUnicodeCharacter{226A}{\ensuremath\ll}% \DeclareUnicodeCharacter{226B}{\ensuremath\gg}% \DeclareUnicodeCharacter{227A}{\ensuremath\prec}% \DeclareUnicodeCharacter{227B}{\ensuremath\succ}% \DeclareUnicodeCharacter{2283}{\ensuremath\supset}% \DeclareUnicodeCharacter{2286}{\ensuremath\subseteq}% \DeclareUnicodeCharacter{228E}{\ensuremath\uplus}% \DeclareUnicodeCharacter{2291}{\ensuremath\sqsubseteq}% \DeclareUnicodeCharacter{2292}{\ensuremath\sqsupseteq}% \DeclareUnicodeCharacter{2293}{\ensuremath\sqcap}% \DeclareUnicodeCharacter{2294}{\ensuremath\sqcup}% \DeclareUnicodeCharacter{2295}{\ensuremath\oplus}% \DeclareUnicodeCharacter{2296}{\ensuremath\ominus}% \DeclareUnicodeCharacter{2297}{\ensuremath\otimes}% \DeclareUnicodeCharacter{2298}{\ensuremath\oslash}% \DeclareUnicodeCharacter{2299}{\ensuremath\odot}% \DeclareUnicodeCharacter{22A2}{\ensuremath\vdash}% \DeclareUnicodeCharacter{22A3}{\ensuremath\dashv}% \DeclareUnicodeCharacter{22A4}{\ensuremath\ptextop}% \DeclareUnicodeCharacter{22A5}{\ensuremath\bot}% \DeclareUnicodeCharacter{22A8}{\ensuremath\models}% \DeclareUnicodeCharacter{22C0}{\ensuremath\bigwedge}% \DeclareUnicodeCharacter{22C1}{\ensuremath\bigvee}% \DeclareUnicodeCharacter{22C2}{\ensuremath\bigcap}% \DeclareUnicodeCharacter{22C3}{\ensuremath\bigcup}% \DeclareUnicodeCharacter{22C4}{\ensuremath\diamond}% \DeclareUnicodeCharacter{22C5}{\ensuremath\cdot}% \DeclareUnicodeCharacter{22C6}{\ensuremath\star}% \DeclareUnicodeCharacter{22C8}{\ensuremath\bowtie}% \DeclareUnicodeCharacter{2308}{\ensuremath\lceil}% \DeclareUnicodeCharacter{2309}{\ensuremath\rceil}% \DeclareUnicodeCharacter{230A}{\ensuremath\lfloor}% \DeclareUnicodeCharacter{230B}{\ensuremath\rfloor}% \DeclareUnicodeCharacter{2322}{\ensuremath\frown}% \DeclareUnicodeCharacter{2323}{\ensuremath\smile}% % \DeclareUnicodeCharacter{25B3}{\ensuremath\triangle}% \DeclareUnicodeCharacter{25B7}{\ensuremath\triangleright}% \DeclareUnicodeCharacter{25BD}{\ensuremath\bigtriangledown}% \DeclareUnicodeCharacter{25C1}{\ensuremath\triangleleft}% \DeclareUnicodeCharacter{25C7}{\ensuremath\diamond}% \DeclareUnicodeCharacter{2660}{\ensuremath\spadesuit}% \DeclareUnicodeCharacter{2661}{\ensuremath\heartsuit}% \DeclareUnicodeCharacter{2662}{\ensuremath\diamondsuit}% \DeclareUnicodeCharacter{2663}{\ensuremath\clubsuit}% \DeclareUnicodeCharacter{266D}{\ensuremath\flat}% \DeclareUnicodeCharacter{266E}{\ensuremath\natural}% \DeclareUnicodeCharacter{266F}{\ensuremath\sharp}% \DeclareUnicodeCharacter{26AA}{\ensuremath\bigcirc}% \DeclareUnicodeCharacter{27B9}{\ensuremath\rangle}% \DeclareUnicodeCharacter{27C2}{\ensuremath\perp}% \DeclareUnicodeCharacter{27E8}{\ensuremath\langle}% \DeclareUnicodeCharacter{27F5}{\ensuremath\longleftarrow}% \DeclareUnicodeCharacter{27F6}{\ensuremath\longrightarrow}% \DeclareUnicodeCharacter{27F7}{\ensuremath\longleftrightarrow}% \DeclareUnicodeCharacter{27FC}{\ensuremath\longmapsto}% \DeclareUnicodeCharacter{29F5}{\ensuremath\setminus}% \DeclareUnicodeCharacter{2A00}{\ensuremath\bigodot}% \DeclareUnicodeCharacter{2A01}{\ensuremath\bigoplus}% \DeclareUnicodeCharacter{2A02}{\ensuremath\bigotimes}% \DeclareUnicodeCharacter{2A04}{\ensuremath\biguplus}% \DeclareUnicodeCharacter{2A06}{\ensuremath\bigsqcup}% \DeclareUnicodeCharacter{2A3F}{\ensuremath\amalg}% \DeclareUnicodeCharacter{2AAF}{\ensuremath\preceq}% \DeclareUnicodeCharacter{2AB0}{\ensuremath\succeq}% % \global\mathchardef\checkmark="1370% actually the square root sign \DeclareUnicodeCharacter{2713}{\ensuremath\checkmark}% }% end of \unicodechardefs % UTF-8 byte sequence (pdfTeX) definitions (replacing and @U command) % It makes the setting that replace UTF-8 byte sequence. \def\utfeightchardefs{% \let\DeclareUnicodeCharacter\DeclareUnicodeCharacterUTFviii \unicodechardefs } % Whether the active definitions of non-ASCII characters expand to % non-active tokens with the same character code. This is used to % write characters literally, instead of using active definitions for % printing the correct glyphs. \newif\ifpassthroughchars \passthroughcharsfalse % For native Unicode handling (XeTeX and LuaTeX), % provide a definition macro to replace/pass-through a Unicode character % \def\DeclareUnicodeCharacterNative#1#2{% \catcode"#1=\active \def\dodeclareunicodecharacternative##1##2##3{% \begingroup \uccode`\~="##2\relax \uppercase{\gdef~}{% \ifpassthroughchars ##1% \else ##3% \fi } \endgroup } \begingroup \uccode`\.="#1\relax \uppercase{\def\UTFNativeTmp{.}}% \expandafter\dodeclareunicodecharacternative\UTFNativeTmp{#1}{#2}% \endgroup } % Native Unicode handling (XeTeX and LuaTeX) character replacing definition. % It activates the setting that replaces Unicode characters. \def\nativeunicodechardefs{% \let\DeclareUnicodeCharacter\DeclareUnicodeCharacterNative \unicodechardefs } % For native Unicode handling (XeTeX and LuaTeX), % make the character token expand % to the sequences given in \unicodechardefs for printing. \def\DeclareUnicodeCharacterNativeAtU#1#2{% \def\UTFAtUTmp{#2} \expandafter\globallet\csname uni:#1\endcsname \UTFAtUTmp } % @U command definitions for native Unicode handling (XeTeX and LuaTeX). \def\nativeunicodechardefsatu{% \let\DeclareUnicodeCharacter\DeclareUnicodeCharacterNativeAtU \unicodechardefs } % US-ASCII character definitions. \def\asciichardefs{% nothing need be done \relax } % Define all Unicode characters we know about. This makes UTF-8 the default % input encoding and allows @U to work. \iftxinativeunicodecapable \nativeunicodechardefsatu \else \utfeightchardefs \fi \message{formatting,} \newdimen\defaultparindent \defaultparindent = 15pt \chapheadingskip = 15pt plus 4pt minus 2pt \secheadingskip = 12pt plus 3pt minus 2pt \subsecheadingskip = 9pt plus 2pt minus 2pt % Prevent underfull vbox error messages. \vbadness = 10000 % Don't be very finicky about underfull hboxes, either. \hbadness = 6666 % Following George Bush, get rid of widows and orphans. \widowpenalty=10000 \clubpenalty=10000 % Use TeX 3.0's \emergencystretch to help line breaking, but if we're % using an old version of TeX, don't do anything. We want the amount of % stretch added to depend on the line length, hence the dependence on % \hsize. We call this whenever the paper size is set. % \def\setemergencystretch{% \ifx\emergencystretch\thisisundefined % Allow us to assign to \emergencystretch anyway. \def\emergencystretch{\dimen0}% \else \emergencystretch = .15\hsize \fi } % Parameters in order: 1) textheight; 2) textwidth; % 3) voffset; 4) hoffset; 5) binding offset; 6) topskip; % 7) physical page height; 8) physical page width. % % We also call \setleading{\textleading}, so the caller should define % \textleading. The caller should also set \parskip. % \def\internalpagesizes#1#2#3#4#5#6#7#8{% \voffset = #3\relax \topskip = #6\relax \splittopskip = \topskip % \vsize = #1\relax \advance\vsize by \topskip \outervsize = \vsize \advance\outervsize by 2\topandbottommargin \txipageheight = \vsize % \hsize = #2\relax \outerhsize = \hsize \advance\outerhsize by 0.5in \txipagewidth = \hsize % \normaloffset = #4\relax \bindingoffset = #5\relax % \ifpdf \pdfpageheight #7\relax \pdfpagewidth #8\relax % if we don't reset these, they will remain at "1 true in" of % whatever layout pdftex was dumped with. \pdfhorigin = 1 true in \pdfvorigin = 1 true in \else \ifx\XeTeXrevision\thisisundefined \special{papersize=#8,#7}% \else \pdfpageheight #7\relax \pdfpagewidth #8\relax % XeTeX does not have \pdfhorigin and \pdfvorigin. \fi \fi % \setleading{\textleading} % \parindent = \defaultparindent \setemergencystretch } % @letterpaper (the default). \def\letterpaper{{\globaldefs = 1 \parskip = 3pt plus 2pt minus 1pt \textleading = 13.2pt % % If page is nothing but text, make it come out even. \internalpagesizes{607.2pt}{6in}% that's 46 lines {\voffset}{.25in}% {\bindingoffset}{36pt}% {11in}{8.5in}% }} % Use @smallbook to reset parameters for 7x9.25 trim size. \def\smallbook{{\globaldefs = 1 \parskip = 2pt plus 1pt \textleading = 12pt % \internalpagesizes{7.5in}{5in}% {-.2in}{0in}% {\bindingoffset}{16pt}% {9.25in}{7in}% % \lispnarrowing = 0.3in \tolerance = 700 \contentsrightmargin = 0pt \defbodyindent = .5cm }} % Use @smallerbook to reset parameters for 6x9 trim size. % (Just testing, parameters still in flux.) \def\smallerbook{{\globaldefs = 1 \parskip = 1.5pt plus 1pt \textleading = 12pt % \internalpagesizes{7.4in}{4.8in}% {-.2in}{-.4in}% {0pt}{14pt}% {9in}{6in}% % \lispnarrowing = 0.25in \tolerance = 700 \contentsrightmargin = 0pt \defbodyindent = .4cm }} % Use @afourpaper to print on European A4 paper. \def\afourpaper{{\globaldefs = 1 \parskip = 3pt plus 2pt minus 1pt \textleading = 13.2pt % % Double-side printing via postscript on Laserjet 4050 % prints double-sided nicely when \bindingoffset=10mm and \hoffset=-6mm. % To change the settings for a different printer or situation, adjust % \normaloffset until the front-side and back-side texts align. Then % do the same for \bindingoffset. You can set these for testing in % your texinfo source file like this: % @tex % \global\normaloffset = -6mm % \global\bindingoffset = 10mm % @end tex \internalpagesizes{673.2pt}{160mm}% that's 51 lines {\voffset}{\hoffset}% {\bindingoffset}{44pt}% {297mm}{210mm}% % \tolerance = 700 \contentsrightmargin = 0pt \defbodyindent = 5mm }} % Use @afivepaper to print on European A5 paper. % From romildo@urano.iceb.ufop.br, 2 July 2000. % He also recommends making @example and @lisp be small. \def\afivepaper{{\globaldefs = 1 \parskip = 2pt plus 1pt minus 0.1pt \textleading = 12.5pt % \internalpagesizes{160mm}{120mm}% {\voffset}{\hoffset}% {\bindingoffset}{8pt}% {210mm}{148mm}% % \lispnarrowing = 0.2in \tolerance = 800 \contentsrightmargin = 0pt \defbodyindent = 2mm \tableindent = 12mm }} % A specific text layout, 24x15cm overall, intended for A4 paper. \def\afourlatex{{\globaldefs = 1 \afourpaper \internalpagesizes{237mm}{150mm}% {\voffset}{4.6mm}% {\bindingoffset}{7mm}% {297mm}{210mm}% % % Must explicitly reset to 0 because we call \afourpaper. \globaldefs = 0 }} % Use @afourwide to print on A4 paper in landscape format. \def\afourwide{{\globaldefs = 1 \afourpaper \internalpagesizes{241mm}{165mm}% {\voffset}{-2.95mm}% {\bindingoffset}{7mm}% {297mm}{210mm}% \globaldefs = 0 }} \def\bsixpaper{{\globaldefs = 1 \afourpaper \internalpagesizes{140mm}{100mm}% {-6.35mm}{-12.7mm}% {\bindingoffset}{14pt}% {176mm}{125mm}% \let\SETdispenvsize=\smallword \lispnarrowing = 0.2in \globaldefs = 0 }} % @pagesizes TEXTHEIGHT[,TEXTWIDTH] % Perhaps we should allow setting the margins, \topskip, \parskip, % and/or leading, also. Or perhaps we should compute them somehow. % \parseargdef\pagesizes{\pagesizesyyy #1,,\finish} \def\pagesizesyyy#1,#2,#3\finish{{% \setbox0 = \hbox{\ignorespaces #2}\ifdim\wd0 > 0pt \hsize=#2\relax \fi \globaldefs = 1 % \parskip = 3pt plus 2pt minus 1pt \setleading{\textleading}% % \dimen0 = #1\relax \advance\dimen0 by 2.5in % default 1in margin above heading line % and 1.5in to include heading, footing and % bottom margin % \dimen2 = \hsize \advance\dimen2 by 2in % default to 1 inch margin on each side % \internalpagesizes{#1}{\hsize}% {\voffset}{\normaloffset}% {\bindingoffset}{44pt}% {\dimen0}{\dimen2}% }} % Set default to letter. % \letterpaper % Default value of \hfuzz, for suppressing warnings about overfull hboxes. \hfuzz = 1pt \message{and turning on texinfo input format.} \def^^L{\par} % remove \outer, so ^L can appear in an @comment % DEL is a comment character, in case @c does not suffice. \catcode`\^^? = 14 % Define macros to output various characters with catcode for normal text. \catcode`\"=\other \def\normaldoublequote{"} \catcode`\$=\other \def\normaldollar{$}%$ font-lock fix \catcode`\+=\other \def\normalplus{+} \catcode`\<=\other \def\normalless{<} \catcode`\>=\other \def\normalgreater{>} \catcode`\^=\other \def\normalcaret{^} \catcode`\_=\other \def\normalunderscore{_} \catcode`\|=\other \def\normalverticalbar{|} \catcode`\~=\other \def\normaltilde{~} % This macro is used to make a character print one way in \tt % (where it can probably be output as-is), and another way in other fonts, % where something hairier probably needs to be done. % % #1 is what to print if we are indeed using \tt; #2 is what to print % otherwise. Since all the Computer Modern typewriter fonts have zero % interword stretch (and shrink), and it is reasonable to expect all % typewriter fonts to have this, we can check that font parameter. % \def\ifusingtt#1#2{\ifdim \fontdimen3\font=0pt #1\else #2\fi} % Same as above, but check for italic font. Actually this also catches % non-italic slanted fonts since it is impossible to distinguish them from % italic fonts. But since this is only used by $ and it uses \sl anyway % this is not a problem. \def\ifusingit#1#2{\ifdim \fontdimen1\font>0pt #1\else #2\fi} % Set catcodes for Texinfo file % Active characters for printing the wanted glyph. % Most of these we simply print from the \tt font, but for some, we can % use math or other variants that look better in normal text. % \catcode`\"=\active \def\activedoublequote{{\tt\char34}} \let"=\activedoublequote \catcode`\~=\active \def\activetilde{{\tt\char126}} \let~ = \activetilde \chardef\hatchar=`\^ \catcode`\^=\active \def\activehat{{\tt \hatchar}} \let^ = \activehat \catcode`\_=\active \def_{\ifusingtt\normalunderscore\_} \def\_{\leavevmode \kern.07em \vbox{\hrule width.3em height.1ex}\kern .07em } \let\realunder=_ \catcode`\|=\active \def|{{\tt\char124}} \chardef \less=`\< \catcode`\<=\active \def\activeless{{\tt \less}}\let< = \activeless \chardef \gtr=`\> \catcode`\>=\active \def\activegtr{{\tt \gtr}}\let> = \activegtr \catcode`\+=\active \def+{{\tt \char 43}} \catcode`\$=\active \def${\ifusingit{{\sl\$}}\normaldollar}%$ font-lock fix \catcode`\-=\active \let-=\normaldash % used for headline/footline in the output routine, in case the page % breaks in the middle of an @tex block. \def\texinfochars{% \let< = \activeless \let> = \activegtr \let~ = \activetilde \let^ = \activehat \setregularquotes \let\b = \strong \let\i = \smartitalic % in principle, all other definitions in \tex have to be undone too. } % Used sometimes to turn off (effectively) the active characters even after % parsing them. \def\turnoffactive{% \normalturnoffactive \otherbackslash } \catcode`\@=0 % \backslashcurfont outputs one backslash character in current font, % as in \char`\\. \global\chardef\backslashcurfont=`\\ % \realbackslash is an actual character `\' with catcode other. {\catcode`\\=\other @gdef@realbackslash{\}} % In Texinfo, backslash is an active character; it prints the backslash % in fixed width font. \catcode`\\=\active % @ for escape char from now on. % Print a typewriter backslash. For math mode, we can't simply use % \backslashcurfont: the story here is that in math mode, the \char % of \backslashcurfont ends up printing the roman \ from the math symbol % font (because \char in math mode uses the \mathcode, and plain.tex % sets \mathcode`\\="026E). Hence we use an explicit \mathchar, % which is the decimal equivalent of "715c (class 7, e.g., use \fam; % ignored family value; char position "5C). We can't use " for the % usual hex value because it has already been made active. @def@ttbackslash{{@tt @ifmmode @mathchar29020 @else @backslashcurfont @fi}} @let@backslashchar = @ttbackslash % @backslashchar{} is for user documents. % \otherbackslash defines an active \ to be a literal `\' character with % catcode other. @gdef@otherbackslash{@let\=@realbackslash} % Same as @turnoffactive except outputs \ as {\tt\char`\\} instead of % the literal character `\'. % {@catcode`- = @active @gdef@normalturnoffactive{% @passthroughcharstrue @let-=@normaldash @let"=@normaldoublequote @let$=@normaldollar %$ font-lock fix @let+=@normalplus @let<=@normalless @let>=@normalgreater @let^=@normalcaret @let_=@normalunderscore @let|=@normalverticalbar @let~=@normaltilde @let\=@ttbackslash @setregularquotes @unsepspaces } } % If a .fmt file is being used, characters that might appear in a file % name cannot be active until we have parsed the command line. % So turn them off again, and have @fixbackslash turn them back on. @catcode`+=@other @catcode`@_=@other % \enablebackslashhack - allow file to begin `\input texinfo' % % If a .fmt file is being used, we don't want the `\input texinfo' to show up. % That is what \eatinput is for; after that, the `\' should revert to printing % a backslash. % If the file did not have a `\input texinfo', then it is turned off after % the first line; otherwise the first `\' in the file would cause an error. % This is used on the very last line of this file, texinfo.tex. % We also use @c to call @fixbackslash, in case ends of lines are hidden. { @catcode`@^=7 @catcode`@^^M=13@gdef@enablebackslashhack{% @global@let\ = @eatinput% @catcode`@^^M=13% @def@c{@fixbackslash@c}% % Definition for the newline at the end of this file. @def ^^M{@let^^M@secondlinenl}% % Definition for a newline in the main Texinfo file. @gdef @secondlinenl{@fixbackslash}% % In case the first line has a whole-line command on it @let@originalparsearg@parsearg @def@parsearg{@fixbackslash@originalparsearg} }} {@catcode`@^=7 @catcode`@^^M=13% @gdef@eatinput input texinfo#1^^M{@fixbackslash}} % Emergency active definition of newline, in case an active newline token % appears by mistake. {@catcode`@^=7 @catcode13=13% @gdef@enableemergencynewline{% @gdef^^M{% @par% %@par% }}} @gdef@fixbackslash{% @ifx\@eatinput @let\ = @ttbackslash @fi @catcode13=5 % regular end of line @enableemergencynewline @let@c=@comment @let@parsearg@originalparsearg % Also turn back on active characters that might appear in the input % file name, in case not using a pre-dumped format. @catcode`+=@active @catcode`@_=@active % % If texinfo.cnf is present on the system, read it. % Useful for site-wide @afourpaper, etc. This macro, @fixbackslash, gets % called at the beginning of every Texinfo file. Not opening texinfo.cnf % directly in this file, texinfo.tex, makes it possible to make a format % file for Texinfo. % @openin 1 texinfo.cnf @ifeof 1 @else @input texinfo.cnf @fi @closein 1 } % Say @foo, not \foo, in error messages. @escapechar = `@@ % These (along with & and #) are made active for url-breaking, so need % active definitions as the normal characters. @def@normaldot{.} @def@normalquest{?} @def@normalslash{/} % These look ok in all fonts, so just make them not special. % @hashchar{} gets its own user-level command, because of #line. @catcode`@& = @other @def@normalamp{&} @catcode`@# = @other @def@normalhash{#} @catcode`@% = @other @def@normalpercent{%} @let @hashchar = @normalhash @c Finally, make ` and ' active, so that txicodequoteundirected and @c txicodequotebacktick work right in, e.g., @w{@code{`foo'}}. If we @c don't make ` and ' active, @code will not get them as active chars. @c Do this last of all since we use ` in the previous @catcode assignments. @catcode`@'=@active @catcode`@`=@active @setregularquotes @c Local variables: @c eval: (add-hook 'before-save-hook 'time-stamp) @c page-delimiter: "^\\\\message\\|emacs-page" @c time-stamp-start: "def\\\\texinfoversion{" @c time-stamp-format: "%:y-%02m-%02d.%02H" @c time-stamp-end: "}" @c End: @c vim:sw=2: @enablebackslashhack mpc-1.3.1/build-aux/ar-lib0000777000175100017460000001336214344353471012231 00000000000000#!/bin/sh # Wrapper for Microsoft lib.exe me=ar-lib scriptversion=2019-07-04.01; # UTC # Copyright (C) 2010-2021 Free Software Foundation, Inc. # Written by Peter Rosin . # # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2, or (at your option) # any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. 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android-linux) basic_machine=$field1-unknown basic_os=linux-android ;; *) basic_machine=$field1-$field2 basic_os=$field3 ;; esac ;; *-*) # A lone config we happen to match not fitting any pattern case $field1-$field2 in decstation-3100) basic_machine=mips-dec basic_os= ;; *-*) # Second component is usually, but not always the OS case $field2 in # Prevent following clause from handling this valid os sun*os*) basic_machine=$field1 basic_os=$field2 ;; zephyr*) basic_machine=$field1-unknown basic_os=$field2 ;; # Manufacturers dec* | mips* | sequent* | encore* | pc533* | sgi* | sony* \ | att* | 7300* | 3300* | delta* | motorola* | sun[234]* \ | unicom* | ibm* | next | hp | isi* | apollo | altos* \ | convergent* | ncr* | news | 32* | 3600* | 3100* \ | hitachi* | c[123]* | convex* | sun | crds | omron* | dg \ | ultra | tti* | harris | dolphin | highlevel | gould \ | cbm | ns | masscomp | apple | axis | knuth | cray \ | microblaze* | sim | cisco \ | oki | wec | wrs | winbond) basic_machine=$field1-$field2 basic_os= ;; *) basic_machine=$field1 basic_os=$field2 ;; esac ;; esac ;; *) # Convert single-component short-hands not valid as part of # multi-component configurations. case $field1 in 386bsd) basic_machine=i386-pc basic_os=bsd ;; a29khif) basic_machine=a29k-amd basic_os=udi ;; adobe68k) basic_machine=m68010-adobe basic_os=scout ;; alliant) basic_machine=fx80-alliant basic_os= ;; altos | altos3068) basic_machine=m68k-altos basic_os= ;; am29k) basic_machine=a29k-none basic_os=bsd ;; amdahl) basic_machine=580-amdahl basic_os=sysv ;; amiga) basic_machine=m68k-unknown basic_os= ;; amigaos | amigados) basic_machine=m68k-unknown basic_os=amigaos ;; amigaunix | amix) basic_machine=m68k-unknown basic_os=sysv4 ;; apollo68) basic_machine=m68k-apollo basic_os=sysv ;; apollo68bsd) basic_machine=m68k-apollo basic_os=bsd ;; aros) basic_machine=i386-pc basic_os=aros ;; aux) basic_machine=m68k-apple basic_os=aux ;; balance) basic_machine=ns32k-sequent basic_os=dynix ;; blackfin) basic_machine=bfin-unknown basic_os=linux ;; cegcc) basic_machine=arm-unknown basic_os=cegcc ;; convex-c1) basic_machine=c1-convex basic_os=bsd ;; convex-c2) basic_machine=c2-convex basic_os=bsd ;; convex-c32) basic_machine=c32-convex basic_os=bsd ;; convex-c34) basic_machine=c34-convex basic_os=bsd ;; convex-c38) basic_machine=c38-convex basic_os=bsd ;; cray) basic_machine=j90-cray basic_os=unicos ;; crds | unos) basic_machine=m68k-crds basic_os= ;; da30) basic_machine=m68k-da30 basic_os= ;; decstation | pmax | pmin | dec3100 | decstatn) basic_machine=mips-dec basic_os= ;; delta88) basic_machine=m88k-motorola basic_os=sysv3 ;; dicos) basic_machine=i686-pc basic_os=dicos ;; djgpp) basic_machine=i586-pc basic_os=msdosdjgpp ;; ebmon29k) basic_machine=a29k-amd basic_os=ebmon ;; es1800 | OSE68k | ose68k | ose | OSE) basic_machine=m68k-ericsson basic_os=ose ;; gmicro) basic_machine=tron-gmicro basic_os=sysv ;; go32) basic_machine=i386-pc basic_os=go32 ;; h8300hms) basic_machine=h8300-hitachi basic_os=hms ;; h8300xray) basic_machine=h8300-hitachi basic_os=xray ;; h8500hms) basic_machine=h8500-hitachi basic_os=hms ;; harris) basic_machine=m88k-harris basic_os=sysv3 ;; hp300 | hp300hpux) basic_machine=m68k-hp basic_os=hpux ;; hp300bsd) basic_machine=m68k-hp basic_os=bsd ;; hppaosf) basic_machine=hppa1.1-hp basic_os=osf ;; hppro) basic_machine=hppa1.1-hp basic_os=proelf ;; i386mach) basic_machine=i386-mach basic_os=mach ;; isi68 | isi) basic_machine=m68k-isi basic_os=sysv ;; m68knommu) basic_machine=m68k-unknown basic_os=linux ;; magnum | m3230) basic_machine=mips-mips basic_os=sysv ;; merlin) basic_machine=ns32k-utek basic_os=sysv ;; mingw64) basic_machine=x86_64-pc basic_os=mingw64 ;; mingw32) basic_machine=i686-pc basic_os=mingw32 ;; mingw32ce) basic_machine=arm-unknown basic_os=mingw32ce ;; monitor) basic_machine=m68k-rom68k basic_os=coff ;; morphos) basic_machine=powerpc-unknown basic_os=morphos ;; moxiebox) basic_machine=moxie-unknown basic_os=moxiebox ;; msdos) basic_machine=i386-pc basic_os=msdos ;; msys) basic_machine=i686-pc basic_os=msys ;; mvs) basic_machine=i370-ibm basic_os=mvs ;; nacl) basic_machine=le32-unknown basic_os=nacl ;; ncr3000) basic_machine=i486-ncr basic_os=sysv4 ;; netbsd386) basic_machine=i386-pc basic_os=netbsd ;; netwinder) basic_machine=armv4l-rebel basic_os=linux ;; news | news700 | news800 | news900) basic_machine=m68k-sony basic_os=newsos ;; news1000) basic_machine=m68030-sony basic_os=newsos ;; necv70) basic_machine=v70-nec basic_os=sysv ;; nh3000) basic_machine=m68k-harris basic_os=cxux ;; nh[45]000) basic_machine=m88k-harris basic_os=cxux ;; nindy960) basic_machine=i960-intel basic_os=nindy ;; mon960) basic_machine=i960-intel basic_os=mon960 ;; nonstopux) basic_machine=mips-compaq basic_os=nonstopux ;; os400) basic_machine=powerpc-ibm basic_os=os400 ;; OSE68000 | ose68000) basic_machine=m68000-ericsson basic_os=ose ;; os68k) basic_machine=m68k-none basic_os=os68k ;; paragon) basic_machine=i860-intel basic_os=osf ;; parisc) basic_machine=hppa-unknown basic_os=linux ;; psp) basic_machine=mipsallegrexel-sony basic_os=psp ;; pw32) basic_machine=i586-unknown basic_os=pw32 ;; rdos | rdos64) basic_machine=x86_64-pc basic_os=rdos ;; rdos32) basic_machine=i386-pc basic_os=rdos ;; rom68k) basic_machine=m68k-rom68k basic_os=coff ;; sa29200) basic_machine=a29k-amd basic_os=udi ;; sei) basic_machine=mips-sei basic_os=seiux ;; sequent) basic_machine=i386-sequent basic_os= ;; sps7) basic_machine=m68k-bull basic_os=sysv2 ;; st2000) basic_machine=m68k-tandem basic_os= ;; stratus) basic_machine=i860-stratus basic_os=sysv4 ;; sun2) basic_machine=m68000-sun basic_os= ;; sun2os3) basic_machine=m68000-sun basic_os=sunos3 ;; sun2os4) basic_machine=m68000-sun basic_os=sunos4 ;; sun3) basic_machine=m68k-sun basic_os= ;; sun3os3) basic_machine=m68k-sun basic_os=sunos3 ;; sun3os4) basic_machine=m68k-sun basic_os=sunos4 ;; sun4) basic_machine=sparc-sun basic_os= ;; sun4os3) basic_machine=sparc-sun basic_os=sunos3 ;; sun4os4) basic_machine=sparc-sun basic_os=sunos4 ;; sun4sol2) basic_machine=sparc-sun basic_os=solaris2 ;; sun386 | sun386i | roadrunner) basic_machine=i386-sun basic_os= ;; sv1) basic_machine=sv1-cray basic_os=unicos ;; symmetry) basic_machine=i386-sequent basic_os=dynix ;; t3e) basic_machine=alphaev5-cray basic_os=unicos ;; t90) basic_machine=t90-cray basic_os=unicos ;; toad1) basic_machine=pdp10-xkl basic_os=tops20 ;; tpf) basic_machine=s390x-ibm basic_os=tpf ;; udi29k) basic_machine=a29k-amd basic_os=udi ;; ultra3) basic_machine=a29k-nyu basic_os=sym1 ;; v810 | necv810) basic_machine=v810-nec basic_os=none ;; vaxv) basic_machine=vax-dec basic_os=sysv ;; vms) basic_machine=vax-dec basic_os=vms ;; vsta) basic_machine=i386-pc basic_os=vsta ;; vxworks960) basic_machine=i960-wrs basic_os=vxworks ;; vxworks68) basic_machine=m68k-wrs basic_os=vxworks ;; vxworks29k) basic_machine=a29k-wrs basic_os=vxworks ;; xbox) basic_machine=i686-pc basic_os=mingw32 ;; ymp) basic_machine=ymp-cray basic_os=unicos ;; *) basic_machine=$1 basic_os= ;; esac ;; esac # Decode 1-component or ad-hoc basic machines case $basic_machine in # Here we handle the default manufacturer of certain CPU types. It is in # some cases the only manufacturer, in others, it is the most popular. w89k) cpu=hppa1.1 vendor=winbond ;; op50n) cpu=hppa1.1 vendor=oki ;; op60c) cpu=hppa1.1 vendor=oki ;; ibm*) cpu=i370 vendor=ibm ;; orion105) cpu=clipper vendor=highlevel ;; mac | mpw | mac-mpw) cpu=m68k vendor=apple ;; pmac | pmac-mpw) cpu=powerpc vendor=apple ;; # Recognize the various machine names and aliases which stand # for a CPU type and a company and sometimes even an OS. 3b1 | 7300 | 7300-att | att-7300 | pc7300 | safari | unixpc) cpu=m68000 vendor=att ;; 3b*) cpu=we32k vendor=att ;; bluegene*) cpu=powerpc vendor=ibm basic_os=cnk ;; decsystem10* | dec10*) cpu=pdp10 vendor=dec basic_os=tops10 ;; decsystem20* | dec20*) cpu=pdp10 vendor=dec basic_os=tops20 ;; delta | 3300 | motorola-3300 | motorola-delta \ | 3300-motorola | delta-motorola) cpu=m68k vendor=motorola ;; dpx2*) cpu=m68k vendor=bull basic_os=sysv3 ;; encore | umax | mmax) cpu=ns32k vendor=encore ;; elxsi) cpu=elxsi vendor=elxsi basic_os=${basic_os:-bsd} ;; fx2800) cpu=i860 vendor=alliant ;; genix) cpu=ns32k vendor=ns ;; h3050r* | hiux*) cpu=hppa1.1 vendor=hitachi basic_os=hiuxwe2 ;; hp3k9[0-9][0-9] | hp9[0-9][0-9]) cpu=hppa1.0 vendor=hp ;; hp9k2[0-9][0-9] | hp9k31[0-9]) cpu=m68000 vendor=hp ;; hp9k3[2-9][0-9]) cpu=m68k vendor=hp ;; hp9k6[0-9][0-9] | hp6[0-9][0-9]) cpu=hppa1.0 vendor=hp ;; hp9k7[0-79][0-9] | hp7[0-79][0-9]) cpu=hppa1.1 vendor=hp ;; hp9k78[0-9] | hp78[0-9]) # FIXME: really hppa2.0-hp cpu=hppa1.1 vendor=hp ;; hp9k8[67]1 | hp8[67]1 | hp9k80[24] | hp80[24] | hp9k8[78]9 | hp8[78]9 | hp9k893 | hp893) # FIXME: really hppa2.0-hp cpu=hppa1.1 vendor=hp ;; hp9k8[0-9][13679] | hp8[0-9][13679]) cpu=hppa1.1 vendor=hp ;; hp9k8[0-9][0-9] | hp8[0-9][0-9]) cpu=hppa1.0 vendor=hp ;; i*86v32) cpu=`echo "$1" | sed -e 's/86.*/86/'` vendor=pc basic_os=sysv32 ;; i*86v4*) cpu=`echo "$1" | sed -e 's/86.*/86/'` vendor=pc basic_os=sysv4 ;; i*86v) cpu=`echo "$1" | sed -e 's/86.*/86/'` vendor=pc basic_os=sysv ;; i*86sol2) cpu=`echo "$1" | sed -e 's/86.*/86/'` vendor=pc basic_os=solaris2 ;; j90 | j90-cray) cpu=j90 vendor=cray basic_os=${basic_os:-unicos} ;; iris | iris4d) cpu=mips vendor=sgi case $basic_os in irix*) ;; *) basic_os=irix4 ;; esac ;; miniframe) cpu=m68000 vendor=convergent ;; *mint | mint[0-9]* | *MiNT | *MiNT[0-9]*) cpu=m68k vendor=atari basic_os=mint ;; news-3600 | risc-news) cpu=mips vendor=sony basic_os=newsos ;; next | m*-next) cpu=m68k vendor=next case $basic_os in openstep*) ;; nextstep*) ;; ns2*) basic_os=nextstep2 ;; *) basic_os=nextstep3 ;; esac ;; np1) cpu=np1 vendor=gould ;; op50n-* | op60c-*) cpu=hppa1.1 vendor=oki basic_os=proelf ;; pa-hitachi) cpu=hppa1.1 vendor=hitachi basic_os=hiuxwe2 ;; pbd) cpu=sparc vendor=tti ;; pbb) cpu=m68k vendor=tti ;; pc532) cpu=ns32k vendor=pc532 ;; pn) cpu=pn vendor=gould ;; power) cpu=power vendor=ibm ;; ps2) cpu=i386 vendor=ibm ;; rm[46]00) cpu=mips vendor=siemens ;; rtpc | rtpc-*) cpu=romp vendor=ibm ;; sde) cpu=mipsisa32 vendor=sde basic_os=${basic_os:-elf} ;; simso-wrs) cpu=sparclite vendor=wrs basic_os=vxworks ;; tower | tower-32) cpu=m68k vendor=ncr ;; vpp*|vx|vx-*) cpu=f301 vendor=fujitsu ;; w65) cpu=w65 vendor=wdc ;; w89k-*) cpu=hppa1.1 vendor=winbond basic_os=proelf ;; none) cpu=none vendor=none ;; leon|leon[3-9]) cpu=sparc vendor=$basic_machine ;; leon-*|leon[3-9]-*) cpu=sparc vendor=`echo "$basic_machine" | sed 's/-.*//'` ;; *-*) # shellcheck disable=SC2162 saved_IFS=$IFS IFS="-" read cpu vendor <&2 exit 1 ;; esac ;; esac # Here we canonicalize certain aliases for manufacturers. case $vendor in digital*) vendor=dec ;; commodore*) vendor=cbm ;; *) ;; esac # Decode manufacturer-specific aliases for certain operating systems. if test x$basic_os != x then # First recognize some ad-hoc caes, or perhaps split kernel-os, or else just # set os. case $basic_os in gnu/linux*) kernel=linux os=`echo "$basic_os" | sed -e 's|gnu/linux|gnu|'` ;; os2-emx) kernel=os2 os=`echo "$basic_os" | sed -e 's|os2-emx|emx|'` ;; nto-qnx*) kernel=nto os=`echo "$basic_os" | sed -e 's|nto-qnx|qnx|'` ;; *-*) # shellcheck disable=SC2162 saved_IFS=$IFS IFS="-" read kernel os <&2 exit 1 ;; esac # As a final step for OS-related things, validate the OS-kernel combination # (given a valid OS), if there is a kernel. case $kernel-$os in linux-gnu* | linux-dietlibc* | linux-android* | linux-newlib* \ | linux-musl* | linux-relibc* | linux-uclibc* ) ;; uclinux-uclibc* ) ;; -dietlibc* | -newlib* | -musl* | -relibc* | -uclibc* ) # These are just libc implementations, not actual OSes, and thus # require a kernel. echo "Invalid configuration \`$1': libc \`$os' needs explicit kernel." 1>&2 exit 1 ;; kfreebsd*-gnu* | kopensolaris*-gnu*) ;; vxworks-simlinux | vxworks-simwindows | vxworks-spe) ;; nto-qnx*) ;; os2-emx) ;; *-eabi* | *-gnueabi*) ;; -*) # Blank kernel with real OS is always fine. ;; *-*) echo "Invalid configuration \`$1': Kernel \`$kernel' not known to work with OS \`$os'." 1>&2 exit 1 ;; esac # Here we handle the case where we know the os, and the CPU type, but not the # manufacturer. We pick the logical manufacturer. case $vendor in unknown) case $cpu-$os in *-riscix*) vendor=acorn ;; *-sunos*) vendor=sun ;; *-cnk* | *-aix*) vendor=ibm ;; *-beos*) vendor=be ;; *-hpux*) vendor=hp ;; *-mpeix*) vendor=hp ;; *-hiux*) vendor=hitachi ;; *-unos*) vendor=crds ;; *-dgux*) vendor=dg ;; *-luna*) vendor=omron ;; *-genix*) vendor=ns ;; *-clix*) vendor=intergraph ;; *-mvs* | *-opened*) vendor=ibm ;; *-os400*) vendor=ibm ;; s390-* | s390x-*) vendor=ibm ;; *-ptx*) vendor=sequent ;; *-tpf*) vendor=ibm ;; *-vxsim* | *-vxworks* | *-windiss*) vendor=wrs ;; *-aux*) vendor=apple ;; *-hms*) vendor=hitachi ;; *-mpw* | *-macos*) vendor=apple ;; *-*mint | *-mint[0-9]* | *-*MiNT | *-MiNT[0-9]*) vendor=atari ;; *-vos*) vendor=stratus ;; esac ;; esac echo "$cpu-$vendor-${kernel:+$kernel-}$os" exit # Local variables: # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-start: "timestamp='" # time-stamp-format: "%:y-%02m-%02d" # time-stamp-end: "'" # End: mpc-1.3.1/tests/0000755000175100017460000000000014346567725010467 500000000000000mpc-1.3.1/tests/tpow_fr.c0000644000175100017460000000415713227377425012233 00000000000000/* tpow_fr -- test file for mpc_pow_fr. Copyright (C) 2009, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void test_reuse (void) { mpc_t z; mpfr_t y; int inex; mpfr_init2 (y, 2); mpc_init2 (z, 2); mpc_set_si_si (z, 0, -1, MPC_RNDNN); mpfr_neg (mpc_realref (z), mpc_realref (z), MPFR_RNDN); mpc_div_2ui (z, z, 4, MPC_RNDNN); mpfr_set_ui (y, 512, MPFR_RNDN); inex = mpc_pow_fr (z, z, y, MPC_RNDNN); if (MPC_INEX_RE(inex) != 0 || MPC_INEX_IM(inex) != 0 || mpfr_cmp_ui_2exp (mpc_realref(z), 1, -2048) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0 || mpfr_signbit (mpc_imagref(z)) == 0) { printf ("Error in test_reuse, wrong ternary value or output\n"); printf ("inex=(%d %d)\n", MPC_INEX_RE(inex), MPC_INEX_IM(inex)); printf ("z="); mpc_out_str (stdout, 2, 0, z, MPC_RNDNN); printf ("\n"); exit (1); } mpfr_clear (y); mpc_clear (z); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_pow_fr (P[1].mpc, P[2].mpc, P[3].mpfr, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_pow_fr (P[1].mpc, P[1].mpc, P[3].mpfr, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); test_reuse (); /* FIXME: remove it, already checked by tgeneric */ data_check_template ("pow_fr.dsc", "pow_fr.dat"); tgeneric_template ("pow_fr.dsc", 2, 1024, 7, 10); test_end (); return 0; } mpc-1.3.1/tests/tanh.dat0000644000175100017460000000607312426164730012023 00000000000000# Data file for mpc_tanh. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see sin.dat. # special values (following ISO C99 standard) 0 0 7 -1 7 0 7 -inf 7 -inf N N 0 0 7 -1 7 -0 7 -inf 7 -1 N N 0 0 7 -1 7 -0 7 -inf 7 -0 N N 0 0 7 -1 7 +0 7 -inf 7 +0 N N 0 0 7 -1 7 +0 7 -inf 7 1 N N 0 0 7 -1 7 0 7 -inf 7 +inf N N 0 0 7 -1 7 0 7 -inf 7 NaN N N 0 0 7 NaN 7 NaN 7 -1 7 -inf N N 0 0 7 NaN 7 NaN 7 -1 7 +inf N N 0 0 7 NaN 7 NaN 7 -1 7 NaN N N 0 0 7 NaN 7 NaN 7 -0 7 -inf N N 0 0 7 -0 7 -0 7 -0 7 -0 N N 0 0 7 -0 7 +0 7 -0 7 +0 N N 0 0 7 NaN 7 NaN 7 -0 7 +inf N N 0 0 7 NaN 7 NaN 7 -0 7 NaN N N 0 0 7 NaN 7 NaN 7 +0 7 -inf N N 0 0 7 +0 7 -0 7 +0 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 +0 N N 0 0 7 NaN 7 NaN 7 +0 7 +inf N N 0 0 7 NaN 7 NaN 7 +0 7 NaN N N 0 0 7 NaN 7 NaN 7 1 7 -inf N N 0 0 7 NaN 7 NaN 7 1 7 +inf N N 0 0 7 NaN 7 NaN 7 1 7 NaN N N 0 0 7 1 7 0 7 +inf 7 -inf N N 0 0 7 1 7 -0 7 +inf 7 -1 N N 0 0 7 1 7 -0 7 +inf 7 -0 N N 0 0 7 1 7 +0 7 +inf 7 +0 N N 0 0 7 1 7 +0 7 +inf 7 1 N N 0 0 7 1 7 0 7 +inf 7 +inf N N 0 0 7 1 7 0 7 +inf 7 NaN N N 0 0 7 NaN 7 NaN 7 NaN 7 -inf N N 0 0 7 NaN 7 NaN 7 NaN 7 -1 N N 0 0 7 NaN 7 -0 7 NaN 7 -0 N N 0 0 7 NaN 7 +0 7 NaN 7 +0 N N 0 0 7 NaN 7 NaN 7 NaN 7 1 N N 0 0 7 NaN 7 NaN 7 NaN 7 +inf N N 0 0 7 NaN 7 NaN 7 NaN 7 NaN N N # purely real argument - 0 50 -0xc2f7d5a8a79ccp-52 50 -0 7 -1 7 -0 N N - 0 50 -0xc2f7d5a8a79ccp-52 50 +0 7 -1 7 +0 N N + 0 50 0xc2f7d5a8a79ccp-52 50 -0 7 1 7 -0 N N + 0 50 0xc2f7d5a8a79ccp-52 50 +0 7 1 7 +0 N N # purely imaginary argument 0 - 50 -0 50 -0x18eb245cbee3a8p-52 7 -0 7 -1 N N 0 + 50 -0 50 0x18eb245cbee3a8p-52 7 -0 7 1 N N 0 - 50 +0 50 -0x18eb245cbee3a8p-52 7 +0 7 -1 N N 0 + 50 +0 50 0x18eb245cbee3a8p-52 7 +0 7 1 N N # values with +1 and -1 - - 50 -0x1157bffca4a8cp-48 50 -0x459193d28cfe2p-52 7 -1 7 -1 N N - + 50 -0x1157bffca4a8cp-48 50 0x459193d28cfe2p-52 7 -1 7 1 N N + - 50 0x1157bffca4a8cp-48 50 -0x459193d28cfe2p-52 7 1 7 -1 N N + + 50 0x1157bffca4a8cp-48 50 0x459193d28cfe2p-52 7 1 7 1 N N # IEEE-754 double precision + - 53 0x10000000000001p-53 53 0x1FFFFFFFFFFFFFp-53 53 0x1E938CBCEB16DFp-55 53 0x1B1F56FDEEF00Fp-53 N N mpc-1.3.1/tests/div_fr.dsc0000644000175100017460000000153113227377425012344 00000000000000# Description file for mpc_div_fr # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_div_fr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpfr_srcptr mpc_rnd_t mpc-1.3.1/tests/atan.dat0000644000175100017460000002204414345571363012016 00000000000000# Data file for mpc_atan. # # Copyright (C) 2009, 2012, 2013, 2017 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(atan op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(atan op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) + 0 53 -0x1921FB54442D18p-52 53 -0 53 -inf 53 -inf N N + 0 53 -0x1921FB54442D18p-52 53 -0 53 -inf 53 -1 N N + 0 53 -0x1921FB54442D18p-52 53 -0 53 -inf 53 -0 N N + 0 53 -0x1921FB54442D18p-52 53 +0 53 -inf 53 +0 N N + 0 53 -0x1921FB54442D18p-52 53 +0 53 -inf 53 +1 N N + 0 53 -0x1921FB54442D18p-52 53 +0 53 -inf 53 +inf N N + 0 53 -0x1921FB54442D18p-52 53 0 53 -inf 53 nan N N + 0 53 -0x1921FB54442D18p-52 53 -0 53 -6 53 -inf N N + 0 53 -0x1921FB54442D18p-52 53 +0 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N + 0 53 -0x1921FB54442D18p-52 53 -0 53 -0 53 -inf N N 0 0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 -0 53 +0 53 -0 53 +0 N N + 0 53 -0x1921FB54442D18p-52 53 +0 53 -0 53 +inf N N 0 0 53 nan 53 nan 53 -0 53 nan N N - 0 53 +0x1921FB54442D18p-52 53 -0 53 +0 53 -inf N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N - 0 53 +0x1921FB54442D18p-52 53 +0 53 +0 53 +inf N N 0 0 53 nan 53 nan 53 +0 53 nan N N - 0 53 +0x1921FB54442D18p-52 53 -0 53 +6 53 -inf N N - 0 53 +0x1921FB54442D18p-52 53 +0 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N - 0 53 +0x1921FB54442D18p-52 53 -0 53 +inf 53 -inf N N - 0 53 +0x1921FB54442D18p-52 53 -0 53 +inf 53 -1 N N - 0 53 +0x1921FB54442D18p-52 53 -0 53 +inf 53 -0 N N - 0 53 +0x1921FB54442D18p-52 53 +0 53 +inf 53 +0 N N - 0 53 +0x1921FB54442D18p-52 53 +0 53 +inf 53 +1 N N - 0 53 +0x1921FB54442D18p-52 53 +0 53 +inf 53 +inf N N - 0 53 +0x1921FB54442D18p-52 53 0 53 +inf 53 nan N N 0 0 53 nan 53 -0 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 -0 53 nan 53 -0 N N 0 0 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 nan 53 +0 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument - 0 53 -0x16DCC57BB565FDp-52 53 -0 53 -7 53 -0 N N - 0 53 -0x16DCC57BB565FDp-52 53 +0 53 -7 53 +0 N N + 0 53 -0x1F730BD281F69Bp-53 53 -0 53 -1.5 53 -0 N N + 0 53 -0x1F730BD281F69Bp-53 53 +0 53 -1.5 53 +0 N N + 0 53 -0x1921FB54442D18p-53 53 -0 53 -1 53 -0 N N + 0 53 -0x1921FB54442D18p-53 53 +0 53 -1 53 +0 N N - 0 53 -0x1700A7C5784634p-53 53 -0 53 -0.875 53 -0 N N - 0 53 -0x1700A7C5784634p-53 53 +0 53 -0.875 53 +0 N N - 0 53 -0x1FD5BA9AAC2F6Ep-56 53 -0 53 -0.125 53 -0 N N - 0 53 -0x1FD5BA9AAC2F6Ep-56 53 +0 53 -0.125 53 +0 N N + 0 53 +0x1FD5BA9AAC2F6Ep-56 53 +0 53 +0.125 53 +0 N N + 0 53 +0x1FD5BA9AAC2F6Ep-56 53 -0 53 +0.125 53 -0 N N + 0 53 +0x1700A7C5784634p-53 53 +0 53 +0.875 53 +0 N N + 0 53 +0x1700A7C5784634p-53 53 -0 53 +0.875 53 -0 N N - 0 53 +0x1921FB54442D18p-53 53 +0 53 +1 53 +0 N N - 0 53 +0x1921FB54442D18p-53 53 -0 53 +1 53 -0 N N - 0 53 +0x1F730BD281F69Bp-53 53 +0 53 +1.5 53 +0 N N - 0 53 +0x1F730BD281F69Bp-53 53 -0 53 +1.5 53 -0 N N + 0 53 +0x16DCC57BB565FDp-52 53 +0 53 +7 53 +0 N N + 0 53 +0x16DCC57BB565FDp-52 53 -0 53 +7 53 -0 N N # pure imaginary argument + + 53 -0x1921FB54442D18p-52 53 -0x1269621134DB92p-55 53 -0 53 -7 N N - + 53 +0x1921FB54442D18p-52 53 -0x1269621134DB92p-55 53 +0 53 -7 N N + + 53 -0x1921FB54442D18p-52 53 -0x19C041F7ED8D33p-53 53 -0 53 -1.5 N N - + 53 +0x1921FB54442D18p-52 53 -0x19C041F7ED8D33p-53 53 +0 53 -1.5 N N 0 0 53 -0 53 -inf 53 -0 53 -1 N N 0 0 53 +0 53 -inf 53 +0 53 -1 N N 0 + 53 -0 53 -0x15AA16394D481Fp-52 53 -0 53 -0.875 N N 0 + 53 +0 53 -0x15AA16394D481Fp-52 53 +0 53 -0.875 N N 0 + 53 -0 53 -0x1015891C9EAEF7p-55 53 -0 53 -0.125 N N 0 + 53 +0 53 -0x1015891C9EAEF7p-55 53 +0 53 -0.125 N N 0 - 53 +0 53 +0x1015891C9EAEF7p-55 53 +0 53 +0.125 N N 0 - 53 -0 53 +0x1015891C9EAEF7p-55 53 -0 53 +0.125 N N 0 - 53 +0 53 +0x15AA16394D481Fp-52 53 +0 53 +0.875 N N 0 - 53 -0 53 +0x15AA16394D481Fp-52 53 -0 53 +0.875 N N 0 0 53 +0 53 +inf 53 +0 53 +1 N N 0 0 53 -0 53 +inf 53 -0 53 +1 N N - - 53 +0x1921FB54442D18p-52 53 +0x19C041F7ED8D33p-53 53 +0 53 +1.5 N N + - 53 -0x1921FB54442D18p-52 53 +0x19C041F7ED8D33p-53 53 -0 53 +1.5 N N - - 53 +0x1921FB54442D18p-52 53 +0x1269621134DB92p-55 53 +0 53 +7 N N + - 53 -0x1921FB54442D18p-52 53 +0x1269621134DB92p-55 53 -0 53 +7 N N 0 + 53 +0 53 0x1FFFFFFFFFFF82p-52 53 +0 53 0x1ED9505E1BC3C2p-53 N N + - 512 0x6487ED5110B4611A62633145C06E0E68948127044533E63A0105DF531D89CD9128A5043CC71A026EF7CA8CD9E69D218D98158536F92F8A1BA7F09AB6B6A8E123p-510 512 0x5D137113B914461DA3202D77346EE4980DA5FD0BAD68F5A7928DCA9F632750D9BFFA00654C523929F15DED554EC6BC476DB2C46FA433E569227085E0BDEA86FFp-509 512 0 512 0x1018734E311AB77B710F9212969B3C86E8F388BB7DA5BAF74ADE078F43D96456D088C8A0B2A370159DFB8D4A4BC51BCDA91F2DCD01B2EC610C62AA33FAD1688p-504 N Z + - 12 0xC91p-11 12 0x6F1p-50 12 +0 12 0x9380000000 N N # general inputs + - 72 0x91EA521228BFC46ACAp-118 72 -0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 -0x99B43C52A95A21C220p-73 U N - - 72 0x91EA521228BFC46AC9p-118 72 -0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 -0x99B43C52A95A21C220p-73 D D - + 72 0x91EA521228BFC46AC9p-118 72 -0x9E96A01DBAD6470973p-73 72 0x84C3E02A5C6DEE8410p-118 72 -0x99B43C52A95A21C220p-73 D U + + 72 0x91EA521228BFC46ACAp-118 72 0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 0x99B43C52A95A21C220p-73 U N - + 72 0x91EA521228BFC46AC9p-118 72 0x9E96A01DBAD6470974p-73 72 0x84C3E02A5C6DEE8410p-118 72 0x99B43C52A95A21C220p-73 D U - - 72 0x91EA521228BFC46AC9p-118 72 0x9E96A01DBAD6470973p-73 72 0x84C3E02A5C6DEE8410p-118 72 0x99B43C52A95A21C220p-73 D D + - 156 -0xC90FDAA22167B20DB08A0C3B1FF415CABE49624p-155 156 0xEA84E971BD52E49CCEE036E303D5ECB2D9D9B9Ap-222 156 -0xF0CE58073F866A53F25DB85DE8D503FBDD81051p-109 156 0xCF81D7C76BB9754A52056CB0F144B0C6700CC8Cp-128 N N - - 2 0.75 2 -3 2 0x1p-7 2 -1 N N - + 2 0.75 2 3 2 0x1p-7 2 1 N N # improve test coverage + - 57 -0x1.921fb54442d184 57 -0x8.a7e33db93ecf18@-34 57 -0xa.529626a89a1960@23 57 -0x3.9a5472b5709e74@14 N N # bug reported by Joseph Myers, Tue, 7 Mar 2017 # https://sympa.inria.fr/sympa/arc/mpc-discuss/2017-03/msg00000.html - - 115 0x3243f6a8885a308d313198a2e037p-109 115 0x8.5159201dd5b9740d76d715caba0ep+0 115 0 115 0x1.000002p+0 Z Z mpc-1.3.1/tests/copy_parameter.c0000644000175100017460000000716513227377425013567 00000000000000/* copy_parameter.c -- Copy of an input parameter into a parameter reused for output. Copyright (C) 2012, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" int copy_parameter (mpc_fun_param_t *params, int index_dest, int index_src) { mpfr_prec_t pre1, pim1; mpfr_prec_t pre2, pim2; int index_ref; if (params->T[index_src] != params->T[index_dest]) { fprintf (stderr, "copy_parameter: types of parameters don't match.\n"); exit (1); } switch (params->T[index_src]) { case NATIVE_INT: tpl_copy_int (¶ms->P[index_dest].i, ¶ms->P[index_src].i); return 0; case NATIVE_UL: tpl_copy_ui (¶ms->P[index_dest].ui, ¶ms->P[index_src].ui); return 0; case NATIVE_L: tpl_copy_si (¶ms->P[index_dest].si, ¶ms->P[index_src].si); return 0; case NATIVE_D: tpl_copy_d (¶ms->P[index_dest].d, ¶ms->P[index_src].d); return 0; case NATIVE_LD: /* TODO */ fprintf (stderr, "copy_parameter: type not implemented.\n"); exit (1); break; case NATIVE_DC: case NATIVE_LDC: #ifdef _Complex_I /* TODO */ fprintf (stderr, "copy_parameter: type not implemented.\n"); exit (1); #endif break; case NATIVE_IM: case NATIVE_UIM: #ifdef _MPC_H_HAVE_INTMAX_T /* TODO */ fprintf (stderr, "copy_parameter: type not implemented.\n"); exit (1); #endif break; case GMP_Z: mpz_set (params->P[index_dest].mpz, params->P[index_src].mpz); return 0; case GMP_Q: mpq_set (params->P[index_dest].mpq, params->P[index_src].mpq); return 0; case GMP_F: mpf_set (params->P[index_dest].mpf, params->P[index_src].mpf); return 0; case MPFR: /* need same precision between source, destination, and reference */ pre1 = mpfr_get_prec (params->P[index_dest].mpfr); pre2 = mpfr_get_prec (params->P[index_src].mpfr); index_ref = index_dest + params->nbout + params->nbin; if (pre1 != pre2 || pre1 != mpfr_get_prec (params->P[index_ref].mpfr)) return -1; tpl_copy_mpfr (params->P[index_dest].mpfr, params->P[index_src].mpfr); return 0; case MPC: mpc_get_prec2 (&pre1, &pim1, params->P[index_dest].mpc); /* check same precision between source and destination */ mpc_get_prec2 (&pre2, &pim2, params->P[index_src].mpc); if (pre1 != pre2 || pim1 != pim2) return -1; /* check same precision between source and reference */ index_ref = index_dest + params->nbout + params->nbin; mpc_get_prec2 (&pre2, &pim2, params->P[index_ref].mpc); if (pre1 != pre2 || pim1 != pim2) return -1; tpl_copy_mpc (params->P[index_dest].mpc, params->P[index_src].mpc); return 0; case NATIVE_STRING: case MPFR_INEX: case MPFR_RND: case MPC_INEX: case MPC_RND: case MPCC_INEX: /* no supported copy */ break; } fprintf (stderr, "copy_parameter: unsupported type.\n"); exit (1); } mpc-1.3.1/tests/tui_div.c0000644000175100017460000000560313227377425012213 00000000000000/* tui_div -- test file for mpc_ui_div. Copyright (C) 2008, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void test_special (void) { mpc_t a, b; mpc_init2 (a, 10); mpc_init2 (b, 10); mpc_set_ui_ui (a, 2, 4, MPC_RNDNN); mpc_ui_div (b, 10, a, MPC_RNDNN); if (mpc_cmp_si_si (b, 1, -2) != 0) { printf ("10/(2,4) failed\n"); printf ("expected (1,-2)\n"); printf ("got "); mpc_out_str (stdout, 10, 0, b, MPC_RNDNN); printf ("\n"); exit (1); } /* 0/(-1-0*I) should give (-0, +0) */ mpfr_set_str (mpc_realref(a), "-1", 10, MPFR_RNDN); mpfr_set_str (mpc_imagref(a), "-0", 10, MPFR_RNDN); mpc_ui_div (b, 0, a, MPC_RNDNN); if ((mpc_cmp_si_si (b, 0, 0) != 0) || (MPFR_SIGN (mpc_realref(b)) > 0) || (MPFR_SIGN (mpc_imagref(b)) < 0)) { printf ("0/(-1,-0) failed\n"); printf ("expected (-0,+0)\n"); printf ("got "); mpc_out_str (stdout, 10, 0, b, MPC_RNDNN); printf ("\n"); exit (1); } mpc_set_ui_ui (a, 1, 0, MPC_RNDNN); mpc_ui_div (b, 1, a, MPC_RNDNN); if (mpc_cmp_si_si (b, 1, 0) != 0) { printf ("1/(1,0) failed\n"); printf ("expected (1,0)\n"); printf ("got "); mpc_out_str (stdout, 10, 0, b, MPC_RNDNN); printf ("\n"); exit (1); } /* problem reported by Timo Hartmann with mpc-0.7, 21 Oct 2009 */ mpc_set_ui_ui (a, 4, 0, MPC_RNDNN); mpc_ui_div (b, 1, a, MPC_RNDNN); if (mpfr_cmp_ui_2exp (mpc_realref(b), 1, -2) != 0 || mpfr_cmp_ui (mpc_imagref(b), 0) != 0 || mpfr_signbit (mpc_imagref(b)) != 0) { printf ("1/(4,0) failed\n"); printf ("expected (1/4,0)\n"); printf ("got "); mpc_out_str (stdout, 10, 0, b, MPC_RNDNN); printf ("\n"); exit (1); } mpc_clear (a); mpc_clear (b); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_ui_div (P[1].mpc, P[2].ui, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_ui_div (P[1].mpc, P[2].ui, P[1].mpc, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); test_special (); tgeneric_template ("ui_div.dsc", 2, 1024, 7, 4096); test_end (); return 0; } mpc-1.3.1/tests/tsqr.c0000644000175100017460000001450113227377425011536 00000000000000/* tsqr -- test file for mpc_sqr. Copyright (C) 2002, 2005, 2008, 2010, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void cmpsqr (mpc_srcptr x, mpc_rnd_t rnd) /* computes the square of x with the specific function or by simple */ /* multiplication using the rounding mode rnd and compares the results */ /* and return values. */ /* In our current test suite, the real and imaginary parts of x have */ /* the same precision, and we use this precision also for the result. */ /* Furthermore, we check whether computing the square in the same */ /* place yields the same result. */ /* We also compute the result with four times the precision and check */ /* whether the rounding is correct. Error reports in this part of the */ /* algorithm might still be wrong, though, since there are two */ /* consecutive roundings. */ { mpc_t z, t, u; int inexact_z, inexact_t; mpc_init2 (z, MPC_MAX_PREC (x)); mpc_init2 (t, MPC_MAX_PREC (x)); mpc_init2 (u, 4 * MPC_MAX_PREC (x)); inexact_z = mpc_sqr (z, x, rnd); inexact_t = mpc_mul (t, x, x, rnd); if (mpc_cmp (z, t)) { fprintf (stderr, "sqr and mul differ for rnd=(%s,%s) \nx=", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr gives "); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nmpc_mul gives "); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); exit (1); } if (inexact_z != inexact_t) { fprintf (stderr, "The return values of sqr and mul differ for rnd=(%s,%s) \nx= ", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); fprintf (stderr, "\nx^2="); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr gives %i", inexact_z); fprintf (stderr, "\nmpc_mul gives %i", inexact_t); fprintf (stderr, "\n"); exit (1); } mpc_set (t, x, MPC_RNDNN); inexact_t = mpc_sqr (t, t, rnd); if (mpc_cmp (z, t)) { fprintf (stderr, "sqr and sqr in place differ for rnd=(%s,%s) \nx=", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr gives "); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr in place gives "); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); exit (1); } if (inexact_z != inexact_t) { fprintf (stderr, "The return values of sqr and sqr in place differ for rnd=(%s,%s) \nx= ", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); fprintf (stderr, "\nx^2="); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr gives %i", inexact_z); fprintf (stderr, "\nmpc_sqr in place gives %i", inexact_t); fprintf (stderr, "\n"); exit (1); } mpc_sqr (u, x, rnd); mpc_set (t, u, rnd); if (mpc_cmp (z, t)) { fprintf (stderr, "rounding in sqr might be incorrect for rnd=(%s,%s) \nx=", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr gives "); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nmpc_sqr quadruple precision gives "); mpc_out_str (stderr, 2, 0, u, MPC_RNDNN); fprintf (stderr, "\nand is rounded to "); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); exit (1); } mpc_clear (z); mpc_clear (t); mpc_clear (u); } static void testsqr (long a, long b, mpfr_prec_t prec, mpc_rnd_t rnd) { mpc_t x; mpc_init2 (x, prec); mpc_set_si_si (x, a, b, rnd); cmpsqr (x, rnd); mpc_clear (x); } static void reuse_bug (void) { mpc_t z1; /* reuse bug found by Paul Zimmermann 20081021 */ mpc_init2 (z1, 2); /* RE (z1^2) overflows, IM(z^2) = -0 */ mpfr_set_str (mpc_realref (z1), "0.11", 2, MPFR_RNDN); mpfr_mul_2si (mpc_realref (z1), mpc_realref (z1), mpfr_get_emax (), MPFR_RNDN); mpfr_set_ui (mpc_imagref (z1), 0, MPFR_RNDN); mpc_conj (z1, z1, MPC_RNDNN); mpc_sqr (z1, z1, MPC_RNDNN); if (!mpfr_inf_p (mpc_realref (z1)) || mpfr_signbit (mpc_realref (z1)) ||!mpfr_zero_p (mpc_imagref (z1)) || !mpfr_signbit (mpc_imagref (z1))) { printf ("Error: Regression, bug 20081021 reproduced\n"); MPC_OUT (z1); exit (1); } mpc_clear (z1); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sqr (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sqr (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); testsqr (247, -65, 8, 24); testsqr (5, -896, 3, 2); testsqr (-3, -512, 2, 16); testsqr (266013312, 121990769, 27, 0); testsqr (170, 9, 8, 0); testsqr (768, 85, 8, 16); testsqr (145, 1816, 8, 24); testsqr (0, 1816, 8, 24); testsqr (145, 0, 8, 24); data_check_template ("sqr.dsc", "sqr.dat"); tgeneric_template ("sqr.dsc", 2, 1024, 1, 1024); reuse_bug (); test_end (); return 0; } mpc-1.3.1/tests/asinh.dsc0000644000175100017460000000150713227377425012200 00000000000000# Description file for mpc_asinh # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_asinh RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/norm.dsc0000644000175100017460000000155313227377425012052 00000000000000# Description file for mpc_norm # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_norm RETURN: mpfr_inex OUTPUT: mpfr_ptr INPUT: mpc_srcptr mpfr_rnd_t mpc-1.3.1/tests/pow_z.dat0000644000175100017460000000436613227377425012241 00000000000000# Data file for mpc_pow_z. # # Copyright (C) 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your # option) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM OP2 RND_RE RND_IM # # where op1 = op1_re + i * op1_im, rop = rop_re + i * rop_im, # The data are read from the file and stored in variables op1, op2, rop using # rounding to nearest when needed, for instance: rop_re is ROP_RE rounded to # nearest to the precision of PREC_ROP_RE. # ROP_RE is checked against Re(op1^op2) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(op1^op2) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". 0 0 5 17 5 42 5 17 5 42 1 N N 0 0 5 0.5 5 -0.5 5 1 5 1 -1 N N 0 0 5 1 5 0 5 0 5 1 0x8000000000000000 N N mpc-1.3.1/tests/tsum.c0000644000175100017460000000350113266331162011522 00000000000000/* tsum -- test file for mpc_sum. Copyright (C) 2018 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void check_special (void) { mpc_t z[3], res; mpc_ptr t[3]; int i, inex; for (i = 0; i < 3; i++) { mpc_init2 (z[i], 17); mpc_set_ui_ui (z[i], i+1, i+2, MPC_RNDNN); t[i] = z[i]; } mpc_init2 (res, 17); inex = mpc_sum (res, t, 0, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_realref (res), 0) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 0) == 0); inex = mpc_sum (res, t, 1, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_realref (res), 1) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 2) == 0); inex = mpc_sum (res, t, 2, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_realref (res), 3) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 5) == 0); inex = mpc_sum (res, t, 3, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_realref (res), 6) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 9) == 0); for (i = 0; i < 3; i++) mpc_clear (z[i]); mpc_clear (res); } int main (void) { test_start (); check_special (); test_end (); return 0; } mpc-1.3.1/tests/pow_ui.dat0000644000175100017460000001072113717736770012403 00000000000000# Data file for mpc_pow_ui. # # Copyright (C) 2010, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM OP2 RND_RE RND_IM # # For further details, see add_fr.dat. # special cases, copied from pow.dat 0 0 53 +1 53 0 53 nan 53 +0 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 +1 N N 0 0 53 inf 53 nan 53 +inf 53 +0 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 +1 N N 0 0 53 +1 53 +0 53 +0 53 +0 +0 N N 0 0 53 +0 53 +0 53 +0 53 +0 +1 N N 0 0 53 +1 53 +0 53 +0 53 +1 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 +0 N D 0 0 53 +1 53 +0 53 -0 53 +1 +0 N N 0 0 53 +1 53 +0 53 -1 53 +0 +0 N N 0 0 53 +1 53 -0 53 -1 53 -0 +0 N N 0 0 53 +1 53 -0 53 -0 53 -1 +0 N N 0 0 53 +1 53 -0 53 +0 53 -1 +0 N N 0 0 53 +1 53 +0 53 +inf 53 +2 +0 N N 0 0 53 +1 53 +0 53 +inf 53 -0 +0 N N 0 0 53 +1 53 +0 53 +2 53 +inf +0 N N 0 0 53 +1 53 +0 53 +2 53 +0 +0 N N 0 0 53 +1 53 +0 53 +0 53 +2 +0 N N 0 0 53 +1 53 +0 53 +0 53 +inf +0 N N 0 0 53 +1 53 +0 53 -0 53 +2 +0 N N 0 0 53 +1 53 +0 53 -0 53 +inf +0 N N 0 0 53 +1 53 +0 53 -5 53 +inf +0 N N 0 0 53 +1 53 +0 53 -2 53 +0 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +0 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +3 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0.5 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 +0 N N 0 0 53 +1 53 -0 53 +0 53 -0.5 +0 N N 0 0 53 +1 53 -0 53 -0 53 -0.5 +0 N N 0 0 53 +9 53 +0 53 +3 53 +0 +2 N N 0 0 53 +1 53 +0 53 +1 53 +0 +4 N N 0 0 53 +1 53 -0 53 +1 53 -0 +4 N N 0 0 53 0.25 53 -0 53 +0.5 53 -0 +2 N N 0 0 53 1 53 0 53 +2 53 -1 +0 N N 0 0 53 1 53 0 53 -2 53 -1 +0 N N 0 0 53 1 53 0 53 -2 53 -0 +0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0 +0 N N 0 0 53 1 53 0 53 +0 53 +0.5 +0 N N 0 0 53 1 53 0 53 -0 53 +0.5 +0 N N 0 0 53 1 53 0 53 -0 53 -4 +0 N N 0 0 53 1 53 0 53 +0 53 -4 +0 N N 0 0 53 1 53 0 53 -1 53 -0 +0 N N 0 0 53 1 53 0 53 -1 53 +0 +0 N N 0 0 53 4 53 0 53 +2 53 -0 +2 N N 0 0 53 1 53 0 53 +1 53 +0 +2 N N 0 0 53 1 53 0 53 +1 53 -0 +2 N N # overflow: (a+a*I)^n is real for n divisible by 4 ? 0 53 +inf 53 0 53 1e100000000 53 1e100000000 1000000000 N N # underflow ? ? 53 0 53 0 53 1e-100000000 53 1e-100000000 1000000000 N N # cannot round after one loop ? ? 420 -0x1.c3fb41a71665f9a144927e70cbc2dc899e9e30880c0b5aa924ad8a538b4cd06e503f38bdbb7cfcfded29f7504fe0c91ecd4230984@-187 420 -0xc.82a09ac98133eb05b2643c98eb1c8e1a1609e75f682b14098176abd6c8b4b3c6c72dadaf8929f9bd87f8c78d03361bacb9fb13140@-292 420 0x1.cf13ce58adc4e639fd1c3063ffc9291433647999951bc04ba6797ec4de0335336ad0a28df18573d3b6322ebab662c08eadaed4a8e@-8 420 0x3.cf71d602ca6f754ebd6af522154f3ee1c46da0a52deb1f60016fca4b1e0b4b447b752169e837bb1866aa3734850cd158a7e3ca33c@-9 24 N N # exact result 0 0 5 -9 5 46 5 3 5 2 3 D U # special cases with exponents 1 and 2 0 0 53 3 53 4 53 3 53 4 1 N N 0 0 53 -7 53 24 53 3 53 4 2 N N # coverage test + - 2 1 2 1 100 0x8ac78f4e6aec091921cbdc891p-99 100 0x4a5f2972ea662e1cc0caebb81p-100 3 N N mpc-1.3.1/tests/Makefile.am0000644000175100017460000001055714345574110012434 00000000000000## tests/Makefile.am -- Process this file with automake to produce Makefile.in ## ## Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013, 2016, 2018, 2020, 2021, 2022 INRIA ## ## This file is part of GNU MPC. ## ## GNU MPC is free software; you can redistribute it and/or modify it under ## the terms of the GNU Lesser General Public License as published by the ## Free Software Foundation; either version 3 of the License, or (at your ## option) any later version. ## ## GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY ## WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS ## FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for ## more details. ## ## You should have received a copy of the GNU Lesser General Public License ## along with this program. If not, see http://www.gnu.org/licenses/ . AM_CPPFLAGS = -I$(top_srcdir)/src -I$(top_srcdir) LDADD = libmpc-tests.la $(top_builddir)/src/libmpc.la # let libtool create an executable instead of a shell script # useful for tests with valgrind # The -L$(top_builddir)/src/.libs option is necessary for some platforms, # such as HP-UX, when --with-gmp or --with-mpfr is used and an old MPC # library is already installed in the corresponding lib directories: its # purpose is to make sure that the local .libs comes first in the library # search path (otherwise the tests are linked against the old MPC library # by the LINK command -- see the generated Makefile). AM_LDFLAGS = -no-install -L$(top_builddir)/src/.libs # LOADLIBES (documented in the "GNU make" manual and equivalent to LDLIBS) # enables to compile a program foo.c in the test directory by simply doing # "make foo". LOADLIBES=$(DEFS) $(AM_CPPFLAGS) $(CPPFLAGS) $(CFLAGS) \ $(top_builddir)/tests/.libs/libmpc-tests.a \ $(top_builddir)/src/.libs/libmpc.a $(LIBS) check_PROGRAMS = tradius tballs teta \ tabs tacos tacosh tadd tadd_fr tadd_si tadd_ui tagm targ \ tasin tasinh tatan tatanh tcmp_abs tconj tcos tcosh \ tdiv tdiv_2si tdiv_2ui tdiv_fr tdiv_ui tdot texp tfma tfr_div tfr_sub \ timag tio_str tlog tlog10 \ tmul tmul_2si tmul_2ui tmul_fr tmul_i tmul_si tmul_ui tneg tnorm tpow \ tpow_d tpow_fr tpow_ld tpow_si tpow_ui tpow_z tprec tproj treal \ treimref trootofunity \ tset tsin tsin_cos tsinh tsqr tsqrt tstrtoc tsub tsub_fr \ tsub_ui tsum tswap ttan ttanh tui_div tui_ui_sub \ tget_version texceptions tdummy check_LTLIBRARIES=libmpc-tests.la libmpc_tests_la_SOURCES = mpc-tests.h check_data.c clear_parameters.c \ close_datafile.c comparisons.c copy_parameter.c double_rounding.c \ init_parameters.c mpfr_flags.c open_datafile.c print_parameter.c \ random.c read_data.c read_description.c read_line.c rounding.c \ setprec_parameters.c tpl_gmp.c tpl_mpc.c tpl_mpfr.c tpl_native.c DESCRIPTIONS = abs.dsc acos.dsc acosh.dsc add.dsc add_fr.dsc add_si.dsc \ add_ui.dsc agm.dsc arg.dsc asin.dsc asinh.dsc atan.dsc atanh.dsc \ cmp_abs.dsc conj.dsc \ cos.dsc cosh.dsc div.dsc div_2si.dsc div_2ui.dsc div_fr.dsc \ div_ui.dsc exp.dsc fma.dsc fr_div.dsc fr_sub.dsc imag.dsc log.dsc \ log10.dsc mul.dsc mul_2si.dsc mul_2ui.dsc mul_fr.dsc mul_i.dsc \ mul_si.dsc mul_ui.dsc neg.dsc norm.dsc pow.dsc pow_d.dsc pow_fr.dsc \ pow_si.dsc pow_ui.dsc pow_z.dsc proj.dsc real.dsc rootofunity.dsc \ sin.dsc sin_cos.dsc \ sinh.dsc sqr.dsc sqrt.dsc sub.dsc sub_fr.dsc sub_ui.dsc tan.dsc \ tanh.dsc ui_div.dsc ui_ui_sub.dsc DATA_SETS = abs.dat acos.dat acosh.dat add.dat add_fr.dat agm.dat \ arg.dat asin.dat asinh.dat atan.dat atanh.dat \ cmp_abs.dat conj.dat cos.dat cosh.dat \ div.dat div_fr.dat exp.dat fma.dat fr_div.dat fr_sub.dat inp_str.dat \ log.dat log10.dat mul.dat mul_fr.dat neg.dat norm.dat pow.dat \ pow_fr.dat pow_si.dat pow_ui.dat pow_z.dat proj.dat rootofunity.dat \ sin.dat sinh.dat \ sqr.dat sqrt.dat strtoc.dat sub.dat sub_fr.dat tan.dat tanh.dat EXTRA_DIST = data_check.tpl tgeneric.tpl $(DATA_SETS) $(DESCRIPTIONS) LOG_COMPILER = $(VALGRIND) AM_LOG_FLAGS = $(VALGRIND_OPTS) TESTS = $(check_PROGRAMS) CLEANFILES = mpc_test mpc-1.3.1/tests/ttan.c0000644000175100017460000002011013717736770011512 00000000000000/* ttan -- test file for mpc_tan. Copyright (C) 2008, 2011, 2012, 2013, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void pure_real_argument (void) { /* tan(x -i*0) = tan(x) -i*0 */ /* tan(x +i*0) = tan(x) +i*0 */ mpfr_t x; mpfr_t tan_x; mpc_t z; mpc_t tan_z; mpfr_init2 (x, 79); mpfr_init2 (tan_x, 113); mpc_init2 (z, 79); mpc_init2 (tan_z, 113); /* tan(1 +i*0) = tan(1) +i*0 */ mpc_set_ui_ui (z, 1, 0, MPC_RNDNN); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_tan (tan_x, x, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0 || !mpfr_zero_p (mpc_imagref (tan_z)) || mpfr_signbit (mpc_imagref (tan_z))) { printf ("mpc_tan(1 + i * 0) failed\n"); exit (1); } /* tan(1 -i*0) = tan(1) -i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0 || !mpfr_zero_p (mpc_imagref (tan_z)) || !mpfr_signbit (mpc_imagref (tan_z))) { printf ("mpc_tan(1 - i * 0) failed\n"); exit (1); } /* tan(Pi/2 +i*0) = +Inf +i*0 */ mpfr_const_pi (x, MPFR_RNDN); mpfr_div_2ui (x, x, 1, MPFR_RNDN); mpfr_set (mpc_realref (z), x, MPFR_RNDN); mpfr_set_ui (mpc_imagref (z), 0, MPFR_RNDN); mpfr_tan (tan_x, x, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0 || !mpfr_zero_p (mpc_imagref (tan_z)) || mpfr_signbit (mpc_imagref (tan_z))) { printf ("mpc_tan(Pi/2 + i * 0) failed\n"); exit (1); } /* tan(Pi/2 -i*0) = +Inf -i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0 || !mpfr_zero_p (mpc_imagref (tan_z)) || !mpfr_signbit (mpc_imagref (tan_z))) { printf ("mpc_tan(Pi/2 - i * 0) failed\n"); exit (1); } /* tan(-Pi/2 +i*0) = -Inf +i*0 */ mpfr_neg (x, x, MPFR_RNDN); mpc_neg (z, z, MPC_RNDNN); mpfr_tan (tan_x, x, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0 || !mpfr_zero_p (mpc_imagref (tan_z)) || mpfr_signbit (mpc_imagref (tan_z))) { printf ("mpc_tan(-Pi/2 + i * 0) failed\n"); exit (1); } /* tan(-Pi/2 -i*0) = -Inf -i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0 || !mpfr_zero_p (mpc_imagref (tan_z)) || !mpfr_signbit (mpc_imagref (tan_z))) { printf ("mpc_tan(-Pi/2 - i * 0) failed\n"); exit (1); } mpc_clear (tan_z); mpc_clear (z); mpfr_clear (tan_x); mpfr_clear (x); } static void pure_imaginary_argument (void) { /* tan(-0 +i*y) = -0 +i*tanh(y) */ /* tan(+0 +i*y) = +0 +i*tanh(y) */ mpfr_t y; mpfr_t tanh_y; mpc_t z; mpc_t tan_z; mpfr_prec_t prec = (mpfr_prec_t) 111; mpfr_init2 (y, 2); mpfr_init2 (tanh_y, prec); mpc_init2 (z, 2); mpc_init2 (tan_z, prec); /* tan(0 +i) = +0 +i*tanh(1) */ mpc_set_ui_ui (z, 0, 1, MPC_RNDNN); mpfr_set_ui (y, 1, MPFR_RNDN); mpfr_tanh (tanh_y, y, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0 || !mpfr_zero_p (mpc_realref (tan_z)) || mpfr_signbit (mpc_realref (tan_z))) { mpc_t c99; mpc_init2 (c99, prec); mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN); mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN); TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN); } /* tan(0 -i) = +0 +i*tanh(-1) */ mpc_conj (z, z, MPC_RNDNN); mpfr_neg (tanh_y, tanh_y, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0 || !mpfr_zero_p (mpc_realref (tan_z)) || mpfr_signbit (mpc_realref (tan_z))) { mpc_t c99; mpc_init2 (c99, prec); mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN); mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN); TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN); } /* tan(-0 +i) = -0 +i*tanh(1) */ mpc_neg (z, z, MPC_RNDNN); mpfr_neg (tanh_y, tanh_y, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0 || !mpfr_zero_p (mpc_realref (tan_z)) || !mpfr_signbit (mpc_realref (tan_z))) { mpc_t c99; mpc_init2 (c99, prec); mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN); mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN); TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN); } /* tan(-0 -i) = -0 +i*tanh(-1) */ mpc_conj (z, z, MPC_RNDNN); mpfr_neg (tanh_y, tanh_y, MPFR_RNDN); mpc_tan (tan_z, z, MPC_RNDNN); if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0 || !mpfr_zero_p (mpc_realref (tan_z)) || !mpfr_signbit (mpc_realref (tan_z))) { mpc_t c99; mpc_init2 (c99, prec); mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN); mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN); TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN); } mpc_clear (tan_z); mpc_clear (z); mpfr_clear (tanh_y); mpfr_clear (y); } /* test with reduced exponent range */ static void bug20200211 (void) { mpfr_exp_t emin = mpfr_get_emin (); mpc_t x, z, zr; mpfr_set_emin (-148); mpc_init2 (x, 24); mpc_init2 (z, 24); mpc_init2 (zr, 24); mpfr_set_flt (mpc_realref (x), 0x3.b32d48p24, MPFR_RNDN); mpfr_set_flt (mpc_imagref (x), -0x48.08bd0p0, MPFR_RNDN); mpc_tan (z, x, MPC_RNDNN); /* the real part should be 1.8638349976774607754968796608e-63, but since that underflows, we should get +0 */ mpfr_set_flt (mpc_realref (zr), +0.0f, MPFR_RNDN); mpfr_set_flt (mpc_imagref (zr), -1.0f, MPFR_RNDN); if (mpc_cmp (z, zr)) { printf ("Incorrect tangent with reduced exponent range:\n"); mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr)); mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z)); exit (1); } mpc_clear (x); mpc_clear (z); mpc_clear (zr); mpfr_set_emin (emin); } /* test failing with gcc 5.4.0, line 127 of tan.dat */ static void bug20200301 (void) { mpc_t x, z, zr; int inex; mpc_init2 (x, 53); mpc_init2 (z, 53); mpc_init2 (zr, 53); mpfr_set_d (mpc_realref (x), 0x4580CBF242683p-3, MPFR_RNDN); mpfr_set_d (mpc_imagref (x), -0x1B3E8A3660D279p-3, MPFR_RNDN); inex = mpc_tan (z, x, MPC_RNDNN); mpfr_set_d (mpc_realref (zr), -0.0, MPFR_RNDN); mpfr_set_d (mpc_imagref (zr), -1.0, MPFR_RNDN); if (mpc_cmp (z, zr) != 0 || mpfr_signbit (mpc_realref (z)) == 0 || MPC_INEX_RE(inex) <= 0 || MPC_INEX_IM(inex) >= 0) { printf ("Incorrect tangent (bug20200301):\n"); mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr)); mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z)); mpfr_printf ("expected ternary value (+1, -1)\n"); mpfr_printf ("got ternary value (%d, %d)\n", MPC_INEX_RE(inex), MPC_INEX_IM(inex)); exit (1); } mpc_clear (x); mpc_clear (z); mpc_clear (zr); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_tan (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_tan (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); bug20200301 (); bug20200211 (); data_check_template ("tan.dsc", "tan.dat"); tgeneric_template ("tan.dsc", 2, 512, 7, 4); /* FIXME: remove them? */ pure_real_argument (); pure_imaginary_argument (); test_end (); return 0; } mpc-1.3.1/tests/add_fr.dsc0000644000175100017460000000161713227377425012317 00000000000000# Description file for mpc_add_fr # # Copyright (C) 2008, 2010, 2011, 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_add_fr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpfr_srcptr mpc_rnd_t mpc-1.3.1/tests/tmul_fr.c0000644000175100017460000000237213227377425012220 00000000000000/* tmul_fr -- test file for mpc_mul_fr. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul_fr (P[1].mpc, P[2].mpc, P[3].mpfr, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul_fr (P[1].mpc, P[1].mpc, P[3].mpfr, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("mul_fr.dsc", "mul_fr.dat"); tgeneric_template ("mul_fr.dsc", 2, 1024, 7, -1); test_end (); return 0; } mpc-1.3.1/tests/cosh.dsc0000644000175100017460000000150513227377425012030 00000000000000# Description file for mpc_cosh # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_cosh RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tagm.c0000644000175100017460000000276614345571363011506 00000000000000/* tagm -- test file for mpc_agm. Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_agm (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_SYMMETRIC \ P[0].mpc_inex = mpc_agm (P[1].mpc, P[3].mpc, P[2].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_agm (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_agm (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("agm.dsc", "agm.dat"); tgeneric_template ("agm.dsc", 2, 4096, 41, 1024); return 0; } mpc-1.3.1/tests/tio_str.c0000644000175100017460000001455313227377425012237 00000000000000/* tio_str-- Test file for mpc_inp_str and mpc_out_str. Copyright (C) 2009, 2011, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #ifdef HAVE_UNISTD_H #ifndef _POSIX_C_SOURCE #define _POSIX_C_SOURCE 1 /* apparently needed on Darwin */ #endif #include /* for dup, dup2, STDIN_FILENO and STDOUT_FILENO */ #else #define STDIN_FILENO 0 #define STDOUT_FILENO 1 #endif extern unsigned long line_number; /* character appearing next in the file, may be EOF */ extern int nextchar; extern const char *mpc_rnd_mode[]; static void check_file (const char* file_name) { FILE *fp; int tmp; int base; int inex_re; int inex_im; mpc_t expected, got; mpc_rnd_t rnd = MPC_RNDNN; int inex = 0, expected_inex; size_t expected_size, size; known_signs_t ks = {1, 1}; fp = open_data_file (file_name); mpc_init2 (expected, 53); mpc_init2 (got, 53); /* read data file */ line_number = 1; nextchar = getc (fp); skip_whitespace_comments (fp); while (nextchar != EOF) { /* 1. read a line of data: expected result, base, rounding mode */ read_ternary (fp, &inex_re); read_ternary (fp, &inex_im); read_mpc (fp, expected, &ks); if (inex_re == TERNARY_ERROR || inex_im == TERNARY_ERROR) expected_inex = -1; else expected_inex = MPC_INEX (inex_re, inex_im); read_int (fp, &tmp, "size"); expected_size = (size_t)tmp; read_int (fp, &base, "base"); read_mpc_rounding_mode (fp, &rnd); /* 2. read string at the same precision as the expected result */ while (nextchar != '"') nextchar = getc (fp); mpfr_set_prec (mpc_realref (got), MPC_PREC_RE (expected)); mpfr_set_prec (mpc_imagref (got), MPC_PREC_IM (expected)); inex = mpc_inp_str (got, fp, &size, base, rnd); /* 3. compare this result with the expected one */ if (inex != expected_inex || !same_mpc_value (got, expected, ks) || size != expected_size) { printf ("mpc_inp_str failed (line %lu) with rounding mode %s\n", line_number, mpc_rnd_mode[rnd]); if (inex != expected_inex) printf(" got inexact value: %d\nexpected inexact value: %d\n", inex, expected_inex); if (size != expected_size) printf (" got size: %lu\nexpected size: %lu\n ", (unsigned long int) size, (unsigned long int) expected_size); printf (" "); MPC_OUT (got); MPC_OUT (expected); exit (1); } while ((nextchar = getc (fp)) != '"'); nextchar = getc (fp); skip_whitespace_comments (fp); } mpc_clear (expected); mpc_clear (got); close_data_file (fp); } static void check_io_str (mpc_ptr read_number, mpc_ptr expected) { char tmp_file[] = "mpc_test"; FILE *fp; size_t sz; if (!(fp = fopen (tmp_file, "w"))) { printf ("Error: Could not open file %s in write mode\n", tmp_file); exit (1); } mpc_out_str (fp, 10, 0, expected, MPC_RNDNN); fclose (fp); if (!(fp = fopen (tmp_file, "r"))) { printf ("Error: Could not open file %s in read mode\n", tmp_file); exit (1); }; if (mpc_inp_str (read_number, fp, &sz, 10, MPC_RNDNN) == -1) { printf ("Error: mpc_inp_str cannot correctly re-read number " "in file %s\n", tmp_file); exit (1); } fclose (fp); /* mpc_cmp set erange flag when an operand is a NaN */ mpfr_clear_flags (); if (mpc_cmp (read_number, expected) != 0 || mpfr_erangeflag_p()) { printf ("Error: inp_str o out_str <> Id\n"); MPC_OUT (read_number); MPC_OUT (expected); exit (1); } } #ifndef MPC_NO_STREAM_REDIRECTION /* test out_str with stream=NULL */ static void check_stdout (mpc_ptr read_number, mpc_ptr expected) { char tmp_file[] = "mpc_test"; int fd; size_t sz; fflush (stdout); fd = dup (STDOUT_FILENO); if (freopen (tmp_file, "w", stdout) == NULL) { printf ("mpc_inp_str cannot redirect stdout\n"); exit (1); } mpc_out_str (NULL, 2, 0, expected, MPC_RNDNN); fflush (stdout); dup2 (fd, STDOUT_FILENO); close (fd); clearerr (stdout); fflush (stdin); fd = dup (STDIN_FILENO); if (freopen (tmp_file, "r", stdin) == NULL) { printf ("mpc_inp_str cannot redirect stdout\n"); exit (1); } if (mpc_inp_str (read_number, NULL, &sz, 2, MPC_RNDNN) == -1) { printf ("mpc_inp_str cannot correctly re-read number " "in file %s\n", tmp_file); exit (1); } mpfr_clear_flags (); /* mpc_cmp set erange flag when an operand is a NaN */ if (mpc_cmp (read_number, expected) != 0 || mpfr_erangeflag_p()) { printf ("mpc_inp_str did not read the number which was written by " "mpc_out_str\n"); MPC_OUT (read_number); MPC_OUT (expected); exit (1); } fflush (stdin); dup2 (fd, STDIN_FILENO); close (fd); clearerr (stdin); } #endif /* MPC_NO_STREAM_REDIRECTION */ int main (void) { mpc_t z, x; mpfr_prec_t prec; test_start (); mpc_init2 (z, 1000); mpc_init2 (x, 1000); check_file ("inp_str.dat"); for (prec = 2; prec <= 1000; prec+=7) { mpc_set_prec (z, prec); mpc_set_prec (x, prec); mpc_set_si_si (x, 1, 1, MPC_RNDNN); check_io_str (z, x); mpc_set_si_si (x, -1, 1, MPC_RNDNN); check_io_str (z, x); mpfr_set_inf (mpc_realref(x), -1); mpfr_set_inf (mpc_imagref(x), +1); check_io_str (z, x); test_default_random (x, -1024, 1024, 128, 25); check_io_str (z, x); } #ifndef MPC_NO_STREAM_REDIRECTION mpc_set_si_si (x, 1, -4, MPC_RNDNN); mpc_div_ui (x, x, 3, MPC_RNDDU); check_stdout(z, x); #endif mpc_clear (z); mpc_clear (x); test_end (); return 0; } mpc-1.3.1/tests/tswap.c0000644000175100017460000000302512426164730011673 00000000000000/* tswap -- Test file for mpc_swap. Copyright (C) 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" int main (void) { mpc_t x, y, x2, y2; mpc_init2 (x, 50); mpc_init2 (x2, 50); mpc_init2 (y, 100); mpc_init2 (y2, 100); mpc_set_ui_ui (x, 1ul, 2ul, MPC_RNDNN); mpc_set_ui_ui (x2, 1ul, 2ul, MPC_RNDNN); mpc_set_ui_ui (y, 3ul, 4ul, MPC_RNDNN); mpc_set_ui_ui (y2, 3ul, 4ul, MPC_RNDNN); mpc_swap (x, y); if ( mpfr_get_prec (mpc_realref (x)) != mpfr_get_prec (mpc_realref (y2)) || mpfr_get_prec (mpc_imagref (x)) != mpfr_get_prec (mpc_imagref (y2)) || mpfr_get_prec (mpc_realref (y)) != mpfr_get_prec (mpc_realref (x2)) || mpfr_get_prec (mpc_imagref (y)) != mpfr_get_prec (mpc_imagref (x2)) || mpc_cmp (x, y2) != 0 || mpc_cmp (y, x2) != 0) exit (1); mpc_clear (x); mpc_clear (x2); mpc_clear (y); mpc_clear (y2); return 0; } mpc-1.3.1/tests/tmul_si.c0000644000175100017460000000226513227377425012225 00000000000000/* tmul_si -- test file for mpc_mul_si. Copyright (C) 2002, 2005, 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul_si (P[1].mpc, P[2].mpc, P[3].si, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul_si (P[1].mpc, P[1].mpc, P[3].si, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("mul_si.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/tpl_native.c0000644000175100017460000000673513227377425012724 00000000000000/* tpl_mpfr.c -- Helper functions for data with native types. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" /* int */ void tpl_read_int (mpc_datafile_context_t* datafile_context, int *nread, const char *name) { int n = 0; if (datafile_context->nextchar == EOF) { printf ("Error: Unexpected EOF when reading int " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } ungetc (datafile_context->nextchar, datafile_context->fd); n = fscanf (datafile_context->fd, "%i", nread); if (ferror (datafile_context->fd) || n == 0 || n == EOF) { printf ("Error: Cannot read %s in file '%s' line %lu\n", name, datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } void tpl_copy_int (int *dest, const int * const src) { *dest = *src; } /* unsigned long int */ void tpl_read_ui (mpc_datafile_context_t* datafile_context, unsigned long int *ui) { int n = 0; if (datafile_context->nextchar == EOF) { printf ("Error: Unexpected EOF when reading uint " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } ungetc (datafile_context->nextchar, datafile_context->fd); n = fscanf (datafile_context->fd, "%lu", ui); if (ferror (datafile_context->fd) || n == 0 || n == EOF) { printf ("Error: Cannot read uint in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } void tpl_copy_ui (unsigned long int *dest, const unsigned long int * const src) { *dest = *src; } /* long int */ void tpl_read_si (mpc_datafile_context_t* datafile_context, long int *si) { int n = 0; if (datafile_context->nextchar == EOF) { printf ("Error: Unexpected EOF when reading sint " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } ungetc (datafile_context->nextchar, datafile_context->fd); n = fscanf (datafile_context->fd, "%li", si); if (ferror (datafile_context->fd) || n == 0 || n == EOF) { printf ("Error: Cannot read sint in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } void tpl_copy_si (long int *dest, const long int * const src) { *dest = *src; } /* double */ void tpl_copy_d (double *dest, const double * const src) { *dest = *src; } mpc-1.3.1/tests/setprec_parameters.c0000644000175100017460000000360013227377425014433 00000000000000/* setprec_parameters.c -- Functions changing the precision of i/o parameters. Copyright (C) 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" void set_output_precision (mpc_fun_param_t *params, mpfr_prec_t prec) { int out; const int start = 0; const int end = params->nbout; for (out = start; out < end; out++) { if (params->T[out] == MPFR) mpfr_set_prec (params->P[out].mpfr, prec); else if (params->T[out] == MPC) mpc_set_prec (params->P[out].mpc, prec); } } void set_input_precision (mpc_fun_param_t *params, mpfr_prec_t prec) { int i; const int start = params->nbout; const int end = start + params->nbin; for (i = start; i < end; i++) { if (params->T[i] == MPFR) mpfr_set_prec (params->P[i].mpfr, prec); else if (params->T[i] == MPC) mpc_set_prec (params->P[i].mpc, prec); } } void set_reference_precision (mpc_fun_param_t *params, mpfr_prec_t prec) { int i; const int start = params->nbout + params->nbin; const int end = start + params->nbout; for (i = start; i < end; i++) { if (params->T[i] == MPFR) mpfr_set_prec (params->P[i].mpfr_data.mpfr, prec); else if 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./$(DEPDIR)/tadd_fr.Po -rm -f ./$(DEPDIR)/tadd_si.Po -rm -f ./$(DEPDIR)/tadd_ui.Po -rm -f ./$(DEPDIR)/tagm.Po -rm -f ./$(DEPDIR)/targ.Po -rm -f ./$(DEPDIR)/tasin.Po -rm -f ./$(DEPDIR)/tasinh.Po -rm -f ./$(DEPDIR)/tatan.Po -rm -f ./$(DEPDIR)/tatanh.Po -rm -f ./$(DEPDIR)/tballs.Po -rm -f ./$(DEPDIR)/tcmp_abs.Po -rm -f ./$(DEPDIR)/tconj.Po -rm -f ./$(DEPDIR)/tcos.Po -rm -f ./$(DEPDIR)/tcosh.Po -rm -f ./$(DEPDIR)/tdiv.Po -rm -f ./$(DEPDIR)/tdiv_2si.Po -rm -f ./$(DEPDIR)/tdiv_2ui.Po -rm -f ./$(DEPDIR)/tdiv_fr.Po -rm -f ./$(DEPDIR)/tdiv_ui.Po -rm -f ./$(DEPDIR)/tdot.Po -rm -f ./$(DEPDIR)/tdummy.Po -rm -f ./$(DEPDIR)/teta.Po -rm -f ./$(DEPDIR)/texceptions.Po -rm -f ./$(DEPDIR)/texp.Po -rm -f ./$(DEPDIR)/tfma.Po -rm -f ./$(DEPDIR)/tfr_div.Po -rm -f ./$(DEPDIR)/tfr_sub.Po -rm -f ./$(DEPDIR)/tget_version.Po -rm -f ./$(DEPDIR)/timag.Po -rm -f ./$(DEPDIR)/tio_str.Po -rm -f ./$(DEPDIR)/tlog.Po -rm -f ./$(DEPDIR)/tlog10.Po -rm -f ./$(DEPDIR)/tmul.Po -rm -f ./$(DEPDIR)/tmul_2si.Po -rm -f ./$(DEPDIR)/tmul_2ui.Po -rm -f ./$(DEPDIR)/tmul_fr.Po -rm -f ./$(DEPDIR)/tmul_i.Po -rm -f ./$(DEPDIR)/tmul_si.Po -rm -f ./$(DEPDIR)/tmul_ui.Po -rm -f ./$(DEPDIR)/tneg.Po -rm -f ./$(DEPDIR)/tnorm.Po -rm -f ./$(DEPDIR)/tpl_gmp.Plo -rm -f ./$(DEPDIR)/tpl_mpc.Plo -rm -f ./$(DEPDIR)/tpl_mpfr.Plo -rm -f ./$(DEPDIR)/tpl_native.Plo -rm -f ./$(DEPDIR)/tpow.Po -rm -f ./$(DEPDIR)/tpow_d.Po -rm -f ./$(DEPDIR)/tpow_fr.Po -rm -f ./$(DEPDIR)/tpow_ld.Po -rm -f ./$(DEPDIR)/tpow_si.Po -rm -f ./$(DEPDIR)/tpow_ui.Po -rm -f ./$(DEPDIR)/tpow_z.Po -rm -f ./$(DEPDIR)/tprec.Po -rm -f ./$(DEPDIR)/tproj.Po -rm -f ./$(DEPDIR)/tradius.Po -rm -f ./$(DEPDIR)/treal.Po -rm -f ./$(DEPDIR)/treimref.Po -rm -f ./$(DEPDIR)/trootofunity.Po -rm -f ./$(DEPDIR)/tset.Po -rm -f ./$(DEPDIR)/tsin.Po -rm -f ./$(DEPDIR)/tsin_cos.Po -rm -f ./$(DEPDIR)/tsinh.Po -rm -f ./$(DEPDIR)/tsqr.Po -rm -f ./$(DEPDIR)/tsqrt.Po -rm -f ./$(DEPDIR)/tstrtoc.Po -rm -f ./$(DEPDIR)/tsub.Po -rm -f ./$(DEPDIR)/tsub_fr.Po -rm -f ./$(DEPDIR)/tsub_ui.Po -rm -f ./$(DEPDIR)/tsum.Po -rm -f ./$(DEPDIR)/tswap.Po -rm -f ./$(DEPDIR)/ttan.Po -rm -f ./$(DEPDIR)/ttanh.Po -rm -f ./$(DEPDIR)/tui_div.Po -rm -f ./$(DEPDIR)/tui_ui_sub.Po -rm -f Makefile maintainer-clean-am: distclean-am maintainer-clean-generic mostlyclean: mostlyclean-am mostlyclean-am: mostlyclean-compile mostlyclean-generic \ mostlyclean-libtool pdf: pdf-am pdf-am: ps: ps-am ps-am: uninstall-am: .MAKE: check-am install-am install-strip .PHONY: CTAGS GTAGS TAGS all all-am am--depfiles check check-TESTS \ check-am clean clean-checkLTLIBRARIES clean-checkPROGRAMS \ clean-generic clean-libtool cscopelist-am ctags ctags-am \ distclean distclean-compile distclean-generic \ distclean-libtool distclean-tags distdir dvi dvi-am html \ html-am info info-am install install-am install-data \ install-data-am install-dvi install-dvi-am install-exec \ install-exec-am install-html install-html-am install-info \ install-info-am install-man install-pdf install-pdf-am \ install-ps install-ps-am install-strip installcheck \ installcheck-am installdirs maintainer-clean \ maintainer-clean-generic mostlyclean mostlyclean-compile \ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \ recheck tags tags-am uninstall uninstall-am .PRECIOUS: Makefile # Tell versions [3.59,3.63) of GNU make to not export all variables. # Otherwise a system limit (for SysV at least) may be exceeded. .NOEXPORT: mpc-1.3.1/tests/pow_si.dat0000644000175100017460000000212012426164730012356 00000000000000# Data file for mpc_pow_si. # # Copyright (C) 2011 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM OP2 RND_RE RND_IM # # For further details, see add_fr.dat. # special cases with exponents -1 and -2 0 0 53 0.5 53 -0.5 53 1 53 1 -1 N N 0 0 53 0 53 -0.5 53 1 53 1 -2 N N mpc-1.3.1/tests/sinh.dsc0000644000175100017460000000150513227377425012035 00000000000000# Description file for mpc_sinh # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_sinh RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/data_check.tpl0000644000175100017460000000524013227377425013170 00000000000000/* data_check.tpl -- template file for checking result against data file. Usage: Before including this template file in your source file, #define the prototype of the function under test in the CALL_MPC_FUNCTION symbol, see tadd_tmpl.c for an example. To test the reuse of the first parameter, #define the MPC_FUNCTION_CALL_REUSE_OP1 and MPC_FUNCTION_CALL_REUSE_OP2 symbols with the first and second input parameter reused as the output, see tadd_tmpl.c for an example. It is not possible to test parameter reuse in functions with two output (like mpc_sin_cos) with this system. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #ifndef MPC_FUNCTION_CALL #error Define MPC_FUNCTION_CALL before including 'data_check.tpl'. #endif int data_check_template (const char* descr_file, const char * data_file) { static int rand_counter = 0; mpc_datafile_context_t datafile_context; mpc_datafile_context_t *dc = &datafile_context; mpc_fun_param_t params; mpc_operand_t *P = params.P; /* developer-friendly alias */ read_description (¶ms, descr_file); init_parameters (¶ms); open_datafile (dc, data_file); while (datafile_context.nextchar != EOF) { read_line (dc, ¶ms); set_mpfr_flags (rand_counter); MPC_FUNCTION_CALL; check_mpfr_flags (rand_counter++); check_data (dc, ¶ms, 0); #ifdef MPC_FUNCTION_CALL_SYMMETRIC MPC_FUNCTION_CALL_SYMMETRIC; check_data (dc, ¶ms, 0); #endif #ifdef MPC_FUNCTION_CALL_REUSE_OP1 if (copy_parameter (¶ms, 1, 2) == 0) { MPC_FUNCTION_CALL_REUSE_OP1; check_data (dc, ¶ms, 2); } #endif #ifdef MPC_FUNCTION_CALL_REUSE_OP2 if (copy_parameter (¶ms, 1, 3) == 0) { MPC_FUNCTION_CALL_REUSE_OP2; check_data (dc, ¶ms, 3); } #endif #ifdef MPC_FUNCTION_CALL_REUSE_OP3 if (copy_parameter (¶ms, 1, 4) == 0) { MPC_FUNCTION_CALL_REUSE_OP3; check_data (dc, ¶ms, 4); } #endif } close_datafile (dc); clear_parameters (¶ms); return 0; } mpc-1.3.1/tests/agm.dat0000644000175100017460000001167114345571363011643 00000000000000# Data file for mpc_agm # # Copyright (C) 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in the function prototype as # follows: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM RND_RE RND_IM # # See add.dat for more details. # special cases of 0 0 0 53 0 53 0 53 -1 53 0 53 1 53 0 U D 0 0 53 0 53 0 53 0 53 0 53 1 53 1 U D 0 0 53 0 53 0 53 1 53 0 53 0 53 0 U D # a=2^100 is real and b=-2^100+1 is close to -a, so that there is # cancellation in the first step + + 1000 6.13343501065248469040220876057575735521422156659277284015370489065354785004941290892259011656852869912332814488649060620003153660129464591260581455777223198535415374247749106843365161158273510545819077989996849040655334209063638548567093807595920704639335161071221606819684075137748005838679614506936700e26 1000 2.78770347601954771576648332450140186390805588069947753721317890662882377009087432360024540561493332099222362713441719824215798470248682830506492225727606531299471177716509129100229573037698818619139314654444682343585665232750491711201076271867938956241318886378833024121607108490397434698394730099523728e28 200 1267650600228229401496703205376 53 0 200 -1267650600228229401496703205375 53 0 N N # a=2^100 is real and b=2^100+I is close to a, which causes a loss in the # error analysis when switching from a relative error to an absolute error # (in ulp) for the imaginary part. - + 1000 1.26765060022822940149670320537600000000000000000000000000000004930380657631323783823303533017413935457540219431393779814242309902707311989671728406142043830190405473381225698819654858454795973826194101850808953117443181105327393024632455534713154899279762797670267110875302148050274073504013709877973442e30 1000 4.99999999999999999999999999999999999999999999999999999999999980553077256683932165174799831937111748155461972746352709059016440615656003447359234530134921721757968337357997118603089092837261590319325008176491178329196315059130298011554852301129700508936432021390368960886831534563942526561512902959629403e-1 200 1267650600228229401496703205376 53 0 200 1267650600228229401496703205376 53 1 N N # similar case for the real part when b is close to -a + + 1000 1.08467876592530886754246811029279356966981636533356136322144733028435886515931858750854237361072769893252665854960527081478235500456780213233344279303704706567669269542103227306403258182872546435486314875088697205523310058229087222631501223687780345556279062417814851470906262487893004445615660926562691e-2 1000 2.78905293895036173379978221446297250405753957415552085947732729471277330502161158283898862494994763003064685588768219963518185298464700472486122950691817734185737320652838329171863564571063685685782635224759876773001459257327047419614690899573835904762076822885023105374294261695197351950136206550502212e28 200 1267650600228229401496703205376 53 0 200 -1267650600228229401496703205376 53 1 N N # Non-trivial example with an angle pi - + 1000 1.73445281498669753232856248343970177809463913976908704246943226531366943181635177029314525135639219796336367868027485122390166753512240063464119645217760215308428521377134601470801777085207181315839747680069598739038938895527870204815473213761883712470377131465129627672808480329626971055399178573237530e0 1000 -7.02268113524478075006321405810247223230827765511578159358705685084648706076496079901548878047371750259623565862936612153628319914882054169762337559071422073790380764162955947410387987517205983880807663678020872942112760649464128028437895895107347428874323595807150644530530843707101528138966376736841785e0 20 1 20 2 20 -10 20 -20 N N # Non-trivial example with an angle 0 - - 1000 4.25040709493227486172816431837313486679846786419019285967014766222375531274090378452528546078761717904588171358976686523664106901878258668543430057143043997188667013456002687950950378230536772481087956970495220412257232297324589475076978359364065270281502572385189827930845694706585008531069979410829173e0 1000 8.50081418986454972345632863674626973359693572838038571934029532444751062548180756905057092157523435809176342717953373047328213803756517337086860114286087994377334026912005375901900756461073544962175913940990440824514464594649178950153956718728130540563005144770379655861691389413170017062139958821658346e0 20 1 20 2 20 10 20 20 N N mpc-1.3.1/tests/tasinh.c0000644000175100017460000000313313227377425012032 00000000000000/* tasinh -- test file for mpc_asinh. Copyright (C) 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void bug20091120 (void) { mpc_t x, y; mpc_init2 (x, 53); mpc_init3 (y, 17, 42); mpc_set_ui_ui (x, 1, 1, MPC_RNDNN); mpc_asinh (y, x, MPC_RNDNN); if (mpfr_get_prec (mpc_realref(y)) != 17 || mpfr_get_prec (mpc_imagref(y)) != 42) { printf ("Error, mpc_asinh changed the precisions!!!\n"); exit (1); } mpc_clear (x); mpc_clear (y); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_asinh (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_asinh (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); bug20091120 (); data_check_template ("asinh.dsc", "asinh.dat"); tgeneric_template ("asinh.dsc", 2, 512, 7, 7); test_end (); return 0; } mpc-1.3.1/tests/div_fr.dat0000644000175100017460000004110612426164730012336 00000000000000# Data file for mpc_div_fr. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add_fr.dat. # special values 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -1 N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 +0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 nan N N 0 0 7 nan 7 +0 7 -inf 7 -1 7 -inf N N 0 0 7 +inf 7 1 7 -inf 7 -1 7 -1 N N 0 0 7 +inf 7 +inf 7 -inf 7 -1 7 -0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -1 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 1 N N 0 0 7 nan 7 -0 7 -inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -1 7 nan N N 0 0 7 nan 7 +0 7 -inf 7 -0 7 -inf N N 0 0 7 +inf 7 +0 7 -inf 7 -0 7 -1 N N 0 0 7 +inf 7 nan 7 -inf 7 -0 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 -0 7 +0 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 1 N N 0 0 7 nan 7 -0 7 -inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -0 7 nan N N 0 0 7 nan 7 -0 7 -inf 7 +0 7 -inf N N 0 0 7 +inf 7 -0 7 -inf 7 +0 7 -1 N N 0 0 7 +inf 7 nan 7 -inf 7 +0 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 +0 7 +0 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 1 N N 0 0 7 nan 7 +0 7 -inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 +0 7 nan N N 0 0 7 nan 7 -0 7 -inf 7 1 7 -inf N N 0 0 7 +inf 7 -1 7 -inf 7 1 7 -1 N N 0 0 7 +inf 7 -inf 7 -inf 7 1 7 -0 N N 0 0 7 -inf 7 +inf 7 -inf 7 1 7 +0 N N 0 0 7 -inf 7 1 7 -inf 7 1 7 1 N N 0 0 7 nan 7 +0 7 -inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -inf N N 0 0 7 +inf 7 -inf 7 -inf 7 +inf 7 -1 N N 0 0 7 +inf 7 -inf 7 -inf 7 +inf 7 -0 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 -inf N N 0 0 7 +inf 7 nan 7 -inf 7 nan 7 -1 N N 0 0 7 +inf 7 nan 7 -inf 7 nan 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 +0 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 nan N N 0 0 7 +0 7 nan 7 -1 7 -inf 7 -inf N N 0 0 7 1 7 +inf 7 -1 7 -inf 7 -1 N N 0 0 7 +inf 7 +inf 7 -1 7 -inf 7 -0 N N 0 0 7 -inf 7 -inf 7 -1 7 -inf 7 +0 N N 0 0 7 -1 7 -inf 7 -1 7 -inf 7 1 N N 0 0 7 -0 7 nan 7 -1 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -inf 7 nan N N 0 0 7 +0 7 +0 7 -1 7 -1 7 -inf N N 0 0 7 -0 7 -0 7 -1 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -1 7 nan N N 0 0 7 +0 7 +0 7 -1 7 -0 7 -inf N N 0 0 7 -0 7 -0 7 -1 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -0 7 nan N N 0 0 7 +0 7 -0 7 -1 7 +0 7 -inf N N 0 0 7 -0 7 +0 7 -1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 +0 7 nan N N 0 0 7 +0 7 -0 7 -1 7 1 7 -inf N N 0 0 7 -0 7 +0 7 -1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 1 7 nan N N 0 0 7 +0 7 nan 7 -1 7 +inf 7 -inf N N 0 0 7 1 7 -inf 7 -1 7 +inf 7 -1 N N 0 0 7 +inf 7 -inf 7 -1 7 +inf 7 -0 N N 0 0 7 -inf 7 +inf 7 -1 7 +inf 7 +0 N N 0 0 7 -1 7 +inf 7 -1 7 +inf 7 1 N N 0 0 7 -0 7 nan 7 -1 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 +inf 7 nan N N 0 0 7 +0 7 nan 7 -1 7 nan 7 -inf N N 0 0 7 1 7 nan 7 -1 7 nan 7 -1 N N 0 0 7 +inf 7 nan 7 -1 7 nan 7 -0 N N 0 0 7 -inf 7 nan 7 -1 7 nan 7 +0 N N 0 0 7 -1 7 nan 7 -1 7 nan 7 1 N N 0 0 7 -0 7 nan 7 -1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 nan 7 nan N N 0 0 7 +0 7 nan 7 -0 7 -inf 7 -inf N N 0 0 7 +0 7 +inf 7 -0 7 -inf 7 -1 N N 0 0 7 nan 7 +inf 7 -0 7 -inf 7 -0 N N 0 0 7 nan 7 -inf 7 -0 7 -inf 7 +0 N N 0 0 7 -0 7 -inf 7 -0 7 -inf 7 1 N N 0 0 7 -0 7 nan 7 -0 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -inf 7 nan N N 0 0 7 +0 7 +0 7 -0 7 -1 7 -inf N N 0 0 7 -0 7 -0 7 -0 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -1 7 nan N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -inf N N 0 0 7 -0 7 -0 7 -0 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -0 7 nan N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -inf N N 0 0 7 -0 7 +0 7 -0 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 +0 7 nan N N 0 0 7 +0 7 -0 7 -0 7 1 7 -inf N N 0 0 7 -0 7 +0 7 -0 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 1 7 nan N N 0 0 7 +0 7 nan 7 -0 7 +inf 7 -inf N N 0 0 7 +0 7 -inf 7 -0 7 +inf 7 -1 N N 0 0 7 nan 7 -inf 7 -0 7 +inf 7 -0 N N 0 0 7 nan 7 +inf 7 -0 7 +inf 7 +0 N N 0 0 7 -0 7 +inf 7 -0 7 +inf 7 1 N N 0 0 7 -0 7 nan 7 -0 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 +inf 7 nan N N 0 0 7 +0 7 nan 7 -0 7 nan 7 -inf N N 0 0 7 +0 7 nan 7 -0 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 nan 7 +0 N N 0 0 7 -0 7 nan 7 -0 7 nan 7 1 N N 0 0 7 -0 7 nan 7 -0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 nan 7 nan N N 0 0 7 -0 7 nan 7 +0 7 -inf 7 -inf N N 0 0 7 -0 7 +inf 7 +0 7 -inf 7 -1 N N 0 0 7 nan 7 +inf 7 +0 7 -inf 7 -0 N N 0 0 7 nan 7 -inf 7 +0 7 -inf 7 +0 N N 0 0 7 +0 7 -inf 7 +0 7 -inf 7 1 N N 0 0 7 +0 7 nan 7 +0 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -inf 7 nan N N 0 0 7 -0 7 +0 7 +0 7 -1 7 -inf N N 0 0 7 +0 7 -0 7 +0 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -1 7 nan N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -inf N N 0 0 7 +0 7 -0 7 +0 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -0 7 nan N N 0 0 7 -0 7 -0 7 +0 7 +0 7 -inf N N 0 0 7 +0 7 +0 7 +0 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 +0 7 nan N N 0 0 7 -0 7 -0 7 +0 7 1 7 -inf N N 0 0 7 +0 7 +0 7 +0 7 1 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 1 7 nan N N 0 0 7 -0 7 nan 7 +0 7 +inf 7 -inf N N 0 0 7 -0 7 -inf 7 +0 7 +inf 7 -1 N N 0 0 7 nan 7 -inf 7 +0 7 +inf 7 -0 N N 0 0 7 nan 7 +inf 7 +0 7 +inf 7 +0 N N 0 0 7 +0 7 +inf 7 +0 7 +inf 7 1 N N 0 0 7 +0 7 nan 7 +0 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 +inf 7 nan N N 0 0 7 -0 7 nan 7 +0 7 nan 7 -inf N N 0 0 7 -0 7 nan 7 +0 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 nan 7 +0 N N 0 0 7 +0 7 nan 7 +0 7 nan 7 1 N N 0 0 7 +0 7 nan 7 +0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 nan 7 nan N N 0 0 7 -0 7 nan 7 1 7 -inf 7 -inf N N 0 0 7 -1 7 +inf 7 1 7 -inf 7 -1 N N 0 0 7 -inf 7 +inf 7 1 7 -inf 7 -0 N N 0 0 7 +inf 7 -inf 7 1 7 -inf 7 +0 N N 0 0 7 1 7 -inf 7 1 7 -inf 7 1 N N 0 0 7 +0 7 nan 7 1 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -inf 7 nan N N 0 0 7 -0 7 +0 7 1 7 -1 7 -inf N N 0 0 7 +0 7 -0 7 1 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -1 7 nan N N 0 0 7 -0 7 +0 7 1 7 -0 7 -inf N N 0 0 7 +0 7 -0 7 1 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -0 7 nan N N 0 0 7 -0 7 -0 7 1 7 +0 7 -inf N N 0 0 7 +0 7 +0 7 1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 1 7 +0 7 nan N N 0 0 7 -0 7 -0 7 1 7 1 7 -inf N N 0 0 7 +0 7 +0 7 1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 1 7 1 7 nan N N 0 0 7 -0 7 nan 7 1 7 +inf 7 -inf N N 0 0 7 -1 7 -inf 7 1 7 +inf 7 -1 N N 0 0 7 -inf 7 -inf 7 1 7 +inf 7 -0 N N 0 0 7 +inf 7 +inf 7 1 7 +inf 7 +0 N N 0 0 7 1 7 +inf 7 1 7 +inf 7 1 N N 0 0 7 +0 7 nan 7 1 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 1 7 +inf 7 nan N N 0 0 7 -0 7 nan 7 1 7 nan 7 -inf N N 0 0 7 -1 7 nan 7 1 7 nan 7 -1 N N 0 0 7 -inf 7 nan 7 1 7 nan 7 -0 N N 0 0 7 +inf 7 nan 7 1 7 nan 7 +0 N N 0 0 7 1 7 nan 7 1 7 nan 7 1 N N 0 0 7 +0 7 nan 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 1 7 nan 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 -inf N N 0 0 7 -inf 7 +inf 7 +inf 7 -inf 7 -1 N N 0 0 7 -inf 7 +inf 7 +inf 7 -inf 7 -0 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 +0 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 nan N N 0 0 7 nan 7 +0 7 +inf 7 -1 7 -inf N N 0 0 7 -inf 7 1 7 +inf 7 -1 7 -1 N N 0 0 7 -inf 7 +inf 7 +inf 7 -1 7 -0 N N 0 0 7 +inf 7 -inf 7 +inf 7 -1 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 1 N N 0 0 7 nan 7 -0 7 +inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -1 7 nan N N 0 0 7 nan 7 +0 7 +inf 7 -0 7 -inf N N 0 0 7 -inf 7 +0 7 +inf 7 -0 7 -1 N N 0 0 7 -inf 7 nan 7 +inf 7 -0 7 -0 N N 0 0 7 +inf 7 nan 7 +inf 7 -0 7 +0 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 1 N N 0 0 7 nan 7 -0 7 +inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -0 7 nan N N 0 0 7 nan 7 -0 7 +inf 7 +0 7 -inf N N 0 0 7 -inf 7 -0 7 +inf 7 +0 7 -1 N N 0 0 7 -inf 7 nan 7 +inf 7 +0 7 -0 N N 0 0 7 +inf 7 nan 7 +inf 7 +0 7 +0 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 1 N N 0 0 7 nan 7 +0 7 +inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +0 7 nan N N 0 0 7 nan 7 -0 7 +inf 7 1 7 -inf N N 0 0 7 -inf 7 -1 7 +inf 7 1 7 -1 N N 0 0 7 -inf 7 -inf 7 +inf 7 1 7 -0 N N 0 0 7 +inf 7 +inf 7 +inf 7 1 7 +0 N N 0 0 7 +inf 7 1 7 +inf 7 1 7 1 N N 0 0 7 nan 7 +0 7 +inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 1 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 -inf N N 0 0 7 -inf 7 -inf 7 +inf 7 +inf 7 -1 N N 0 0 7 -inf 7 -inf 7 +inf 7 +inf 7 -0 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 +0 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 -inf N N 0 0 7 -inf 7 nan 7 +inf 7 nan 7 -1 N N 0 0 7 -inf 7 nan 7 +inf 7 nan 7 -0 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 +0 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 nan N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 -inf N N 0 0 7 nan 7 +inf 7 nan 7 -inf 7 -1 N N 0 0 7 nan 7 +inf 7 nan 7 -inf 7 -0 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 +0 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 nan N N 0 0 7 nan 7 +0 7 nan 7 -1 7 -inf N N 0 0 7 nan 7 1 7 nan 7 -1 7 -1 N N 0 0 7 nan 7 +inf 7 nan 7 -1 7 -0 N N 0 0 7 nan 7 -inf 7 nan 7 -1 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 1 N N 0 0 7 nan 7 -0 7 nan 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -1 7 nan N N 0 0 7 nan 7 +0 7 nan 7 -0 7 -inf N N 0 0 7 nan 7 +0 7 nan 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 +0 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 1 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -0 7 nan N N 0 0 7 nan 7 -0 7 nan 7 +0 7 -inf N N 0 0 7 nan 7 -0 7 nan 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 +0 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 1 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +0 7 nan N N 0 0 7 nan 7 -0 7 nan 7 1 7 -inf N N 0 0 7 nan 7 -1 7 nan 7 1 7 -1 N N 0 0 7 nan 7 -inf 7 nan 7 1 7 -0 N N 0 0 7 nan 7 +inf 7 nan 7 1 7 +0 N N 0 0 7 nan 7 1 7 nan 7 1 7 1 N N 0 0 7 nan 7 +0 7 nan 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -1 N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 +0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan N N # values with only 1, -1, +0, -0 0 0 7 1 7 1 7 -1 7 -1 7 -1 N N 0 0 7 +inf 7 +inf 7 -1 7 -1 7 -0 N N 0 0 7 -inf 7 -inf 7 -1 7 -1 7 +0 N N 0 0 7 -1 7 -1 7 -1 7 -1 7 1 N N 0 0 7 1 7 +0 7 -1 7 -0 7 -1 N N 0 0 7 +inf 7 nan 7 -1 7 -0 7 -0 N N 0 0 7 -inf 7 nan 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 -0 7 -1 7 -0 7 1 N N 0 0 7 1 7 -0 7 -1 7 +0 7 -1 N N 0 0 7 +inf 7 nan 7 -1 7 +0 7 -0 N N 0 0 7 -inf 7 nan 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 1 N N 0 0 7 1 7 -1 7 -1 7 1 7 -1 N N 0 0 7 +inf 7 -inf 7 -1 7 1 7 -0 N N 0 0 7 -inf 7 +inf 7 -1 7 1 7 +0 N N 0 0 7 -1 7 1 7 -1 7 1 7 1 N N 0 0 7 +0 7 1 7 -0 7 -1 7 -1 N N 0 0 7 nan 7 +inf 7 -0 7 -1 7 -0 N N 0 0 7 nan 7 -inf 7 -0 7 -1 7 +0 N N 0 0 7 -0 7 -1 7 -0 7 -1 7 1 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 +0 N N 0 0 7 -0 7 -0 7 -0 7 -0 7 1 N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 +0 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 1 N N 0 0 7 +0 7 -1 7 -0 7 1 7 -1 N N 0 0 7 nan 7 -inf 7 -0 7 1 7 -0 N N 0 0 7 nan 7 +inf 7 -0 7 1 7 +0 N N 0 0 7 -0 7 1 7 -0 7 1 7 1 N N 0 0 7 -0 7 1 7 +0 7 -1 7 -1 N N 0 0 7 nan 7 +inf 7 +0 7 -1 7 -0 N N 0 0 7 nan 7 -inf 7 +0 7 -1 7 +0 N N 0 0 7 +0 7 -1 7 +0 7 -1 7 1 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 1 N N 0 0 7 -0 7 -0 7 +0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 +0 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 1 N N 0 0 7 -0 7 -1 7 +0 7 1 7 -1 N N 0 0 7 nan 7 -inf 7 +0 7 1 7 -0 N N 0 0 7 nan 7 +inf 7 +0 7 1 7 +0 N N 0 0 7 +0 7 1 7 +0 7 1 7 1 N N 0 0 7 -1 7 1 7 1 7 -1 7 -1 N N 0 0 7 -inf 7 +inf 7 1 7 -1 7 -0 N N 0 0 7 +inf 7 -inf 7 1 7 -1 7 +0 N N 0 0 7 1 7 -1 7 1 7 -1 7 1 N N 0 0 7 -1 7 +0 7 1 7 -0 7 -1 N N 0 0 7 -inf 7 nan 7 1 7 -0 7 -0 N N 0 0 7 +inf 7 nan 7 1 7 -0 7 +0 N N 0 0 7 1 7 -0 7 1 7 -0 7 1 N N 0 0 7 -1 7 -0 7 1 7 +0 7 -1 N N 0 0 7 -inf 7 nan 7 1 7 +0 7 -0 N N 0 0 7 +inf 7 nan 7 1 7 +0 7 +0 N N 0 0 7 1 7 +0 7 1 7 +0 7 1 N N 0 0 7 -1 7 -1 7 1 7 1 7 -1 N N 0 0 7 -inf 7 -inf 7 1 7 1 7 -0 N N 0 0 7 +inf 7 +inf 7 1 7 1 7 +0 N N 0 0 7 1 7 1 7 1 7 1 7 1 N N mpc-1.3.1/tests/timag.c0000644000175100017460000000201013227377425011636 00000000000000/* timag -- test file for mpc_imag. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpfr_inex = mpc_imag (P[1].mpfr, P[2].mpc, P[3].mpfr_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("imag.dsc", 2, 1024, 1, 4096); test_end (); return 0; } mpc-1.3.1/tests/tpow_ld.c0000644000175100017460000000223313227377425012214 00000000000000/* tpow_ld -- test file for mpc_pow_ld. Copyright (C) 2009, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" int main (void) { mpc_t z; test_start (); mpc_init2 (z, 5); mpc_set_ui_ui (z, 3, 2, MPC_RNDNN); mpc_pow_ld (z, z, (long double) 3.0, MPC_RNDNN); if (mpc_cmp_si_si (z, -9, 46) != 0) { printf ("Error for mpc_pow_ld (1)\n"); printf ("expected (-9 46)\ngot "); mpc_out_str (stdout, 10, 0, z, MPC_RNDNN); printf ("\n"); exit (1); } mpc_clear (z); test_end (); return 0; } mpc-1.3.1/tests/check_data.c0000644000175100017460000000740114345571363012613 00000000000000/* check_data.c -- Check computed data against reference result. Copyright (C) 2012, 2013, 2014, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_INEX_CMP(c, r, i) \ (((r) == TERNARY_NOT_CHECKED || (r) == MPC_INEX_RE(c)) \ && ((i) == TERNARY_NOT_CHECKED || (i) == MPC_INEX_IM (c))) static int check_param (mpc_operand_t* got, mpc_operand_t* expected, mpc_param_t t) { switch (t) { case NATIVE_INT: return got->i == expected->i; case NATIVE_UL: return got->ui == expected->ui; case NATIVE_L: return got->si == expected->si; case NATIVE_D: return got->d == expected->d; case GMP_Z: return mpz_cmp (got->mpz, expected->mpz); case GMP_Q: return mpq_cmp (got->mpq, expected->mpq); case GMP_F: return mpf_cmp (got->mpf, expected->mpf); case MPFR_INEX: return expected->mpfr_inex == TERNARY_NOT_CHECKED || got->mpfr_inex == expected->mpfr_inex; case MPFR: return tpl_check_mpfr_data (got->mpfr, expected->mpfr_data); case MPC_INEX: return MPC_INEX_CMP (got->mpc_inex, expected->mpc_inex_data.real, expected->mpc_inex_data.imag); case MPC: return tpl_check_mpc_data (got->mpc, expected->mpc_data); case MPCC_INEX: return got->mpcc_inex == expected->mpcc_inex; default: fprintf (stderr, "check_data: unsupported type.\n"); exit (1); } } void check_data (mpc_datafile_context_t* dc, mpc_fun_param_t* params, int reused_op) { int out, i; int total = params->nbout + params->nbin; for (out = 0; out < params->nbout; out++) { if (!check_param (&(params->P[out]), &(params->P[total + out]), params->T[out])) { printf ("%s() failed", params->name); if (dc != NULL) printf (" (line %lu, file %s)", dc->test_line_number, dc->pathname); else printf (" with random parameter%c", params->nbin > 2 ? 's' : '\0'); if (reused_op != 0) printf (" when reusing input parameter op%d as output parameter", reused_op - params->nbout); printf ("\n"); for (i = 0; i < params->nbin; i++) { printf ("op%d", i + 1); print_parameter (params, params->nbout + i); } for (i = 0; i < params->nbout; i++) { if ((params->T[i] == MPFR_INEX && params->T[out] != MPFR_INEX) || (params->T[i] == MPC_INEX && params->T[out] != MPC_INEX)) continue; /* don't print inexact flag if it is correct */ printf (" got%c", (total + i > params->nbout ? ' ' : i + '0')); print_parameter (params, i); printf ("expected%c", (total + i > params->nbout ? ' ' : i + '0')); print_parameter (params, total + i); } printf ("\n"); exit (1); } } } mpc-1.3.1/tests/tdiv.c0000644000175100017460000000521313717736770011521 00000000000000/* tdiv -- test file for mpc_div. Copyright (C) 2002, 2008, 2009, 2011, 2013, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_div (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_div (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_div (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" static void bug20200206 (void) { mpfr_exp_t emin = mpfr_get_emin (); mpfr_exp_t emax = mpfr_get_emax (); mpc_t x, y, z, zr; mpfr_set_emin (-1073); mpfr_set_emax (0); mpc_init2 (x, 53); mpc_init2 (y, 53); mpc_init2 (z, 53); mpc_init2 (zr, 53); mpfr_set_d (mpc_realref (x), -5.3310997889069899e-216, MPFR_RNDN); mpfr_set_d (mpc_imagref (x), -4.9188093228194944e-89, MPFR_RNDN); mpfr_set_d (mpc_realref (y), -3.6801500191882962e-14, MPFR_RNDN); mpfr_set_d (mpc_imagref (y), 4.5420247980297260e-145, MPFR_RNDN); mpc_div (z, x, y, MPC_RNDNN); /* quotient is 1.44844440684571e-202 + 1.33657848108714e-75*I, where both the real and imaginary parts fit in the exponent range */ mpfr_set_d (mpc_realref (zr), 0x2.d69b18295a8cep-672, MPFR_RNDN); mpfr_set_d (mpc_imagref (zr), 0x9.ac3e51d39eea8p-252, MPFR_RNDN); if (mpc_cmp (z, zr)) { printf ("Incorrect division with reduced exponent range:\n"); mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr)); mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z)); exit (1); } mpc_clear (x); mpc_clear (y); mpc_clear (z); mpc_clear (zr); mpfr_set_emin (emin); mpfr_set_emax (emax); } int main (void) { test_start (); bug20200206 (); data_check_template ("div.dsc", "div.dat"); tgeneric_template ("div.dsc", 2, 1024, 7, 4096); test_end (); return 0; } mpc-1.3.1/tests/clear_parameters.c0000644000175100017460000000354413227377425014063 00000000000000/* clear_parameters -- Deallocate memory for function parameters. Copyright (C) 2012, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void clear_param (mpc_operand_t* p, mpc_param_t t) { switch (t) { case NATIVE_INT: case NATIVE_UL: case NATIVE_L: case NATIVE_D: break; case GMP_Z: mpz_clear (p->mpz); break; case GMP_Q: mpq_clear (p->mpq); break; case GMP_F: mpf_clear (p->mpf); break; case MPFR_INEX: break; case MPFR: mpfr_clear (p->mpfr); break; case MPC_INEX: case MPCC_INEX: break; case MPC: mpc_clear (p->mpc); break; case MPFR_RND: case MPC_RND: break; default: fprintf (stderr, "clear_parameters: unsupported type.\n"); exit (1); } } void clear_parameters (mpc_fun_param_t *params) { int in, out; int total = params->nbout + params->nbin; free (params->name); for (out = 0; out < params->nbout; out++) { clear_param (&(params->P[out]), params->T[out]); clear_param (&(params->P[total + out]), params->T[out]); } for (in = params->nbout; in < total; in++) { clear_param (&(params->P[in]), params->T[in]); } } mpc-1.3.1/tests/tpow_ui.c0000644000175100017460000000746214345571363012242 00000000000000/* tpow_ui -- test file for mpc_pow_ui. Copyright (C) 2009, 2010, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for CHAR_BIT */ #include "mpc-tests.h" static void compare_mpc_pow (mpfr_prec_t pmax, int iter, unsigned long nbits) { mpfr_prec_t p; mpc_t x, y, z, t; unsigned long n; int i, inex_pow, inex_pow_ui; mpc_rnd_t rnd1, rnd2, rnd; mpc_init3 (y, sizeof (unsigned long) * CHAR_BIT, MPFR_PREC_MIN); for (p = MPFR_PREC_MIN; p <= pmax; p++) for (i = 0; i < iter; i++) { mpc_init2 (x, p); mpc_init2 (z, p); mpc_init2 (t, p); mpc_urandom (x, rands); n = gmp_urandomb_ui (rands, nbits); /* 0 <= n < 2^nbits */ mpc_set_ui (y, n, MPC_RNDNN); for (rnd1 = 0; rnd1 < 4; rnd1 ++) for (rnd2 = 0; rnd2 < 4; rnd2 ++) { rnd = MPC_RND (rnd1, rnd2); inex_pow = mpc_pow (z, x, y, rnd); inex_pow_ui = mpc_pow_ui (t, x, n, rnd); if (mpc_cmp (z, t) != 0) { printf ("mpc_pow and mpc_pow_ui differ for x="); mpc_out_str (stdout, 16, 0, x, MPC_RNDNN); printf (" n=%li p=%lu rnd=%d\n", n, p, rnd); printf ("mpc_pow gives "); mpc_out_str (stdout, 16, 0, z, MPC_RNDNN); printf ("\nmpc_pow_ui gives "); mpc_out_str (stdout, 16, 0, t, MPC_RNDNN); printf ("\n"); exit (1); } if (inex_pow != inex_pow_ui) { printf ("mpc_pow and mpc_pow_ui give different flags for x="); mpc_out_str (stdout, 16, 0, x, MPC_RNDNN); printf (" n=%li p=%lu rnd=%d\n", n, p, rnd); printf ("mpc_pow gives %d\n", inex_pow); printf ("mpc_pow_ui gives %d\n", inex_pow_ui); exit (1); } } mpc_clear (x); mpc_clear (z); mpc_clear (t); } mpc_clear (y); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_pow_ui (P[1].mpc, P[2].mpc, P[3].ui, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_pow_ui (P[1].mpc, P[1].mpc, P[3].ui, P[4].mpc_rnd) #include "data_check.tpl" int main (int argc, char *argv[]) { mpc_t z; if (argc != 1) { mpfr_prec_t p; long int n, k; mpc_t res; if (argc != 3 && argc != 4) { printf ("Usage: tpow_ui precision exponent [k]\n"); exit (1); } p = atoi (argv[1]); n = atoi (argv[2]); MPC_ASSERT (n >= 0); k = (argc > 3) ? atoi (argv[3]) : 1; MPC_ASSERT (k >= 0); mpc_init2 (z, p); mpc_init2 (res, p); mpfr_const_pi (mpc_realref (z), MPFR_RNDN); mpfr_div_2exp (mpc_realref (z), mpc_realref (z), 2, MPFR_RNDN); mpfr_const_log2 (mpc_imagref (z), MPFR_RNDN); while (k--) mpc_pow_ui (res, z, (unsigned long int) n, MPC_RNDNN); mpc_clear (z); mpc_clear (res); return 0; } test_start (); data_check_template ("pow_ui.dsc", "pow_ui.dat"); compare_mpc_pow (100, 5, 19); test_end (); return 0; } mpc-1.3.1/tests/tset.c0000644000175100017460000003252614345571363011532 00000000000000/* tset -- Test file for mpc_set_x and mpc_set_x_x functions. Copyright (C) 2009, 2010, 2011, 2012, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "config.h" #include #include /* for LONG_MAX */ #ifdef HAVE_INTTYPES_H # include /* for intmax_t */ #else # ifdef HAVE_STDINT_H # include # endif #endif #ifdef HAVE_COMPLEX_H # include #endif #include "mpc-tests.h" #define PRINT_ERROR(function_name, precision, a) \ do { \ printf ("Error in " function_name " for prec = %lu\n", \ (unsigned long int) precision); \ MPC_OUT(a); \ exit (1); \ } while (0) /* test MPC_SET_X_Y through some functions */ static int mpc_set_ui_fr (mpc_ptr z, unsigned long int a, mpfr_srcptr b, mpc_rnd_t rnd) MPC_SET_X_Y (ui, fr, z, a, b, rnd) static int mpc_set_fr_ui (mpc_ptr z, mpfr_srcptr a, unsigned long int b, mpc_rnd_t rnd) MPC_SET_X_Y (fr, ui, z, a, b, rnd) static int mpc_set_f_si (mpc_ptr z, mpf_t a, long int b, mpc_rnd_t rnd) MPC_SET_X_Y (f, si, z, a, b, rnd) static void check_set (void) { long int lo; mpz_t mpz; mpq_t mpq; mpf_t mpf; mpfr_t fr; mpc_t x, z; mpfr_prec_t prec; mpz_init (mpz); mpq_init (mpq); mpf_init2 (mpf, 1000); mpfr_init2 (fr, 1000); mpc_init2 (x, 1000); mpc_init2 (z, 1000); mpz_set_ui (mpz, 0x4217); mpq_set_si (mpq, -1, 0x4321); mpf_set_q (mpf, mpq); for (prec = 2; prec <= 1000; prec++) { unsigned long int u = (unsigned long int) prec; mpc_set_prec (z, prec); mpfr_set_prec (fr, prec); lo = -prec; mpfr_set_d (fr, 1.23456789, MPFR_RNDN); mpc_set_d (z, 1.23456789, MPC_RNDNN); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp_si (mpc_imagref(z), 0) != 0) PRINT_ERROR ("mpc_set_d", prec, z); #if defined HAVE_COMPLEX_H mpc_set_dc (z, I*1.23456789+1.23456789, MPC_RNDNN); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0) PRINT_ERROR ("mpc_set_c", prec, z); #endif mpc_set_ui (z, u, MPC_RNDNN); if (mpfr_cmp_ui (mpc_realref(z), u) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0) PRINT_ERROR ("mpc_set_ui", prec, z); mpc_set_d_d (z, 1.23456789, 1.23456789, MPC_RNDNN); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0) PRINT_ERROR ("mpc_set_d_d", prec, z); mpc_set_si (z, lo, MPC_RNDNN); if (mpfr_cmp_si (mpc_realref(z), lo) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0) PRINT_ERROR ("mpc_set_si", prec, z); mpfr_set_ld (fr, 1.23456789L, MPFR_RNDN); mpc_set_ld_ld (z, 1.23456789L, 1.23456789L, MPC_RNDNN); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0) PRINT_ERROR ("mpc_set_ld_ld", prec, z); #if defined HAVE_COMPLEX_H mpc_set_ldc (z, I*1.23456789L+1.23456789L, MPC_RNDNN); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0) PRINT_ERROR ("mpc_set_lc", prec, z); #endif mpc_set_ui_ui (z, u, u, MPC_RNDNN); if (mpfr_cmp_ui (mpc_realref(z), u) != 0 || mpfr_cmp_ui (mpc_imagref(z), u) != 0) PRINT_ERROR ("mpc_set_ui_ui", prec, z); mpc_set_ld (z, 1.23456789L, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_ld", prec, z); mpc_set_prec (x, prec); mpfr_set_ui(fr, 1, MPFR_RNDN); mpfr_div_ui(fr, fr, 3, MPFR_RNDN); mpfr_set(mpc_realref(x), fr, MPFR_RNDN); mpfr_set(mpc_imagref(x), fr, MPFR_RNDN); mpc_set (z, x, MPC_RNDNN); mpfr_clear_flags (); /* mpc_cmp set erange flag when an operand is a NaN */ if (mpc_cmp (z, x) != 0 || mpfr_erangeflag_p()) { printf ("Error in mpc_set for prec = %lu\n", (unsigned long int) prec); MPC_OUT(z); MPC_OUT(x); exit (1); } mpc_set_si_si (z, lo, lo, MPC_RNDNN); if (mpfr_cmp_si (mpc_realref(z), lo) != 0 || mpfr_cmp_si (mpc_imagref(z), lo) != 0) PRINT_ERROR ("mpc_set_si_si", prec, z); mpc_set_fr (z, fr, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_fr", prec, z); mpfr_set_z (fr, mpz, MPFR_RNDN); mpc_set_z_z (z, mpz, mpz, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_z_z", prec, z); mpc_set_fr_fr (z, fr, fr, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_fr_fr", prec, z); mpc_set_z (z, mpz, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_z", prec, z); mpfr_set_q (fr, mpq, MPFR_RNDN); mpc_set_q_q (z, mpq, mpq, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_q_q", prec, z); mpc_set_ui_fr (z, u, fr, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp_ui (mpc_realref (z), u) != 0 || mpfr_cmp (mpc_imagref (z), fr) != 0 || mpfr_erangeflag_p ()) PRINT_ERROR ("mpc_set_ui_fr", prec, z); mpc_set_fr_ui (z, fr, u, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref (z), fr) != 0 || mpfr_cmp_ui (mpc_imagref (z), u) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_fr_ui", prec, z); mpc_set_q (z, mpq, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_q", prec, z); mpfr_set_f (fr, mpf, MPFR_RNDN); mpc_set_f_f (z, mpf, mpf, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp (mpc_imagref(z), fr) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_f_f", prec, z); mpc_set_f (z, mpf, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref(z), fr) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0 || mpfr_erangeflag_p()) PRINT_ERROR ("mpc_set_f", prec, z); mpc_set_f_si (z, mpf, lo, MPC_RNDNN); mpfr_clear_flags (); if (mpfr_cmp (mpc_realref (z), fr) != 0 || mpfr_cmp_si (mpc_imagref (z), lo) != 0 || mpfr_erangeflag_p ()) PRINT_ERROR ("mpc_set_f", prec, z); mpc_set_nan (z); if (!mpfr_nan_p (mpc_realref(z)) || !mpfr_nan_p (mpc_imagref(z))) PRINT_ERROR ("mpc_set_nan", prec, z); #ifdef _MPC_H_HAVE_INTMAX_T { uintmax_t uim = (uintmax_t) prec; intmax_t im = (intmax_t) prec; mpc_set_uj (z, uim, MPC_RNDNN); if (mpfr_cmp_ui (mpc_realref(z), u) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0) PRINT_ERROR ("mpc_set_uj", prec, z); mpc_set_sj (z, im, MPC_RNDNN); if (mpfr_cmp_ui (mpc_realref(z), u) != 0 || mpfr_cmp_ui (mpc_imagref(z), 0) != 0) PRINT_ERROR ("mpc_set_sj (1)", prec, z); mpc_set_uj_uj (z, uim, uim, MPC_RNDNN); if (mpfr_cmp_ui (mpc_realref(z), u) != 0 || mpfr_cmp_ui (mpc_imagref(z), u) != 0) PRINT_ERROR ("mpc_set_uj_uj", prec, z); mpc_set_sj_sj (z, im, im, MPC_RNDNN); if (mpfr_cmp_ui (mpc_realref(z), u) != 0 || mpfr_cmp_ui (mpc_imagref(z), u) != 0) PRINT_ERROR ("mpc_set_sj_sj (1)", prec, z); im = LONG_MAX; if (sizeof (intmax_t) == 2 * sizeof (unsigned long)) im = 2 * im * im + 4 * im + 1; /* gives 2^(2n-1)-1 from 2^(n-1)-1 */ mpc_set_sj (z, im, MPC_RNDNN); if (mpfr_get_sj (mpc_realref(z), MPFR_RNDN) != im || mpfr_cmp_ui (mpc_imagref(z), 0) != 0) PRINT_ERROR ("mpc_set_sj (2)", im, z); mpc_set_sj_sj (z, im, im, MPC_RNDNN); if (mpfr_get_sj (mpc_realref(z), MPFR_RNDN) != im || mpfr_get_sj (mpc_imagref(z), MPFR_RNDN) != im) PRINT_ERROR ("mpc_set_sj_sj (2)", im, z); } #endif /* _MPC_H_HAVE_INTMAX_T */ #if defined HAVE_COMPLEX_H { double _Complex c = 1.0 - 2.0*I, d; long double _Complex lc = c, ld; mpc_set_dc (z, c, MPC_RNDNN); if ((d = mpc_get_dc (z, MPC_RNDNN)) != c) { printf ("expected (%f,%f)\n", creal (c), cimag (c)); printf ("got (%f,%f)\n", creal (d), cimag (d)); PRINT_ERROR ("mpc_get_dc", prec, z); } mpc_set_ldc (z, lc, MPC_RNDNN); if ((ld = mpc_get_ldc (z, MPC_RNDNN)) != lc) { printf ("expected (%Lf,%Lf)\n", creall (lc), cimagl (lc)); printf ("got (%Lf,%Lf)\n", creall (ld), cimagl (ld)); PRINT_ERROR ("mpc_get_ldc", prec, z); } } #endif } mpz_clear (mpz); mpq_clear (mpq); mpf_clear (mpf); mpfr_clear (fr); mpc_clear (x); mpc_clear (z); } static void check_set_str (mpfr_exp_t exp_max) { mpc_t expected; mpc_t got; char *str; mpfr_prec_t prec; mpfr_exp_t exp_min; int base; mpc_init2 (expected, 1024); mpc_init2 (got, 1024); exp_min = mpfr_get_emin (); if (exp_max <= 0) exp_max = mpfr_get_emax (); else if (exp_max > mpfr_get_emax ()) exp_max = mpfr_get_emax(); if (-exp_max > exp_min) exp_min = - exp_max; for (prec = 2; prec < 1024; prec += 7) { mpc_set_prec (got, prec); mpc_set_prec (expected, prec); base = 2 + (int) gmp_urandomm_ui (rands, 35); /* uses external variable rands from random.c */ mpfr_set_nan (mpc_realref (expected)); mpfr_set_inf (mpc_imagref (expected), prec % 2 - 1); str = mpc_get_str (base, 0, expected, MPC_RNDNN); if (mpfr_nan_p (mpc_realref (got)) == 0 || mpfr_cmp (mpc_imagref (got), mpc_imagref (expected)) != 0) { printf ("Error: mpc_set_str o mpc_get_str != Id\n" "in base %u with str=\"%s\"\n", base, str); MPC_OUT (expected); printf (" "); MPC_OUT (got); exit (1); } mpc_free_str (str); test_default_random (expected, exp_min, exp_max, 128, 25); str = mpc_get_str (base, 0, expected, MPC_RNDNN); if (mpc_set_str (got, str, base, MPC_RNDNN) == -1 || mpc_cmp (got, expected) != 0) { printf ("Error: mpc_set_str o mpc_get_str != Id\n" "in base %u with str=\"%s\"\n", base, str); MPC_OUT (expected); printf (" "); MPC_OUT (got); exit (1); } mpc_free_str (str); } #ifdef HAVE_SETLOCALE { /* Check with ',' as a decimal point */ char *old_locale; old_locale = setlocale (LC_ALL, "de_DE"); if (old_locale != NULL) { str = mpc_get_str (10, 0, expected, MPC_RNDNN); if (mpc_set_str (got, str, 10, MPC_RNDNN) == -1 || mpc_cmp (got, expected) != 0) { printf ("Error: mpc_set_str o mpc_get_str != Id\n" "with str=\"%s\"\n", str); MPC_OUT (expected); printf (" "); MPC_OUT (got); exit (1); } mpc_free_str (str); setlocale (LC_ALL, old_locale); } } #endif /* HAVE_SETLOCALE */ /* the real part has a zero exponent in base ten (fixed in r439) */ mpc_set_prec (expected, 37); mpc_set_prec (got, 37); mpc_set_str (expected, "921FC04EDp-35 ", 16, MPFR_RNDN); str = mpc_get_str (10, 0, expected, MPC_RNDNN); if (mpc_set_str (got, str, 10, MPC_RNDNN) == -1 || mpc_cmp (got, expected) != 0) { printf ("Error: mpc_set_str o mpc_get_str != Id\n" "with str=\"%s\"\n", str); MPC_OUT (expected); printf (" "); MPC_OUT (got); exit (1); } mpc_free_str (str); str = mpc_get_str (1, 0, expected, MPC_RNDNN); if (str != NULL) { printf ("Error: mpc_get_str with base==1 should fail\n"); exit (1); } mpc_clear (expected); mpc_clear (got); } int main (void) { test_start (); check_set (); check_set_str (1024); test_end (); return 0; } mpc-1.3.1/tests/sin_cos.dsc0000644000175100017460000000155413227377425012535 00000000000000# Description file for mpc_sin_cos # # Copyright (C) 2013, 2014 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_sin_cos RETURN: mpcc_inex OUTPUT: mpc_ptr mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc_rnd_t mpc-1.3.1/tests/fr_sub.dat0000644000175100017460000004134012426164730012345 00000000000000# Data file for mpc_fr_sub. # # Copyright (C) 2008, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add_fr.dat. # special values 0 0 7 nan 7 +inf 7 -inf 7 -inf 7 -inf N N 0 0 7 nan 7 1 7 -inf 7 -inf 7 -1 N N 0 0 7 nan 7 +0 7 -inf 7 -inf 7 -0 N N 0 0 7 nan 7 -0 7 -inf 7 -inf 7 +0 N N 0 0 7 nan 7 -1 7 -inf 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 -inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 nan N N 0 0 7 -inf 7 +inf 7 -inf 7 -1 7 -inf N N 0 0 7 -inf 7 1 7 -inf 7 -1 7 -1 N N 0 0 7 -inf 7 +0 7 -inf 7 -1 7 -0 N N 0 0 7 -inf 7 -0 7 -inf 7 -1 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -1 7 +inf N N 0 0 7 -inf 7 nan 7 -inf 7 -1 7 nan N N 0 0 7 -inf 7 +inf 7 -inf 7 -0 7 -inf N N 0 0 7 -inf 7 1 7 -inf 7 -0 7 -1 N N 0 0 7 -inf 7 +0 7 -inf 7 -0 7 -0 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 -0 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -0 7 +inf N N 0 0 7 -inf 7 nan 7 -inf 7 -0 7 nan N N 0 0 7 -inf 7 +inf 7 -inf 7 +0 7 -inf N N 0 0 7 -inf 7 1 7 -inf 7 +0 7 -1 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 -0 N N 0 0 7 -inf 7 -0 7 -inf 7 +0 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 +0 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 +0 7 +inf N N 0 0 7 -inf 7 nan 7 -inf 7 +0 7 nan N N 0 0 7 -inf 7 +inf 7 -inf 7 1 7 -inf N N 0 0 7 -inf 7 1 7 -inf 7 1 7 -1 N N 0 0 7 -inf 7 +0 7 -inf 7 1 7 -0 N N 0 0 7 -inf 7 -0 7 -inf 7 1 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 1 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 1 7 +inf N N 0 0 7 -inf 7 nan 7 -inf 7 1 7 nan N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 -inf N N 0 0 7 -inf 7 1 7 -inf 7 +inf 7 -1 N N 0 0 7 -inf 7 +0 7 -inf 7 +inf 7 -0 N N 0 0 7 -inf 7 -0 7 -inf 7 +inf 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 +inf 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 +inf 7 +inf N N 0 0 7 -inf 7 nan 7 -inf 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 -inf 7 nan 7 -inf N N 0 0 7 nan 7 1 7 -inf 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 -inf 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 -inf 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 -inf 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 -inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 nan N N 0 0 7 +inf 7 +inf 7 -1 7 -inf 7 -inf N N 0 0 7 +inf 7 1 7 -1 7 -inf 7 -1 N N 0 0 7 +inf 7 +0 7 -1 7 -inf 7 -0 N N 0 0 7 +inf 7 -0 7 -1 7 -inf 7 +0 N N 0 0 7 +inf 7 -1 7 -1 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 -1 7 -inf 7 +inf N N 0 0 7 +inf 7 nan 7 -1 7 -inf 7 nan N N 0 0 7 0 7 +inf 7 -1 7 -1 7 -inf N N 0 0 7 0 7 -inf 7 -1 7 -1 7 +inf N N 0 0 7 0 7 nan 7 -1 7 -1 7 nan N N 0 0 7 -1 7 +inf 7 -1 7 -0 7 -inf N N 0 0 7 -1 7 -inf 7 -1 7 -0 7 +inf N N 0 0 7 -1 7 nan 7 -1 7 -0 7 nan N N 0 0 7 -1 7 +inf 7 -1 7 +0 7 -inf N N 0 0 7 -1 7 -inf 7 -1 7 +0 7 +inf N N 0 0 7 -1 7 nan 7 -1 7 +0 7 nan N N 0 0 7 -2 7 +inf 7 -1 7 1 7 -inf N N 0 0 7 -2 7 -inf 7 -1 7 1 7 +inf N N 0 0 7 -2 7 nan 7 -1 7 1 7 nan N N 0 0 7 -inf 7 +inf 7 -1 7 +inf 7 -inf N N 0 0 7 -inf 7 1 7 -1 7 +inf 7 -1 N N 0 0 7 -inf 7 +0 7 -1 7 +inf 7 -0 N N 0 0 7 -inf 7 -0 7 -1 7 +inf 7 +0 N N 0 0 7 -inf 7 -1 7 -1 7 +inf 7 1 N N 0 0 7 -inf 7 -inf 7 -1 7 +inf 7 +inf N N 0 0 7 -inf 7 nan 7 -1 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 -1 7 nan 7 -inf N N 0 0 7 nan 7 1 7 -1 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 -1 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 -1 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 -1 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 -1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 nan 7 nan N N 0 0 7 +inf 7 +inf 7 -0 7 -inf 7 -inf N N 0 0 7 +inf 7 1 7 -0 7 -inf 7 -1 N N 0 0 7 +inf 7 +0 7 -0 7 -inf 7 -0 N N 0 0 7 +inf 7 -0 7 -0 7 -inf 7 +0 N N 0 0 7 +inf 7 -1 7 -0 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 -0 7 -inf 7 +inf N N 0 0 7 +inf 7 nan 7 -0 7 -inf 7 nan N N 0 0 7 1 7 +inf 7 -0 7 -1 7 -inf N N 0 0 7 1 7 -inf 7 -0 7 -1 7 +inf N N 0 0 7 1 7 nan 7 -0 7 -1 7 nan N N 0 0 7 0 7 +inf 7 -0 7 -0 7 -inf N N 0 0 7 0 7 -inf 7 -0 7 -0 7 +inf N N 0 0 7 0 7 nan 7 -0 7 -0 7 nan N N 0 0 7 -0 7 +inf 7 -0 7 +0 7 -inf N N 0 0 7 -0 7 -inf 7 -0 7 +0 7 +inf N N 0 0 7 -0 7 nan 7 -0 7 +0 7 nan N N 0 0 7 -1 7 +inf 7 -0 7 1 7 -inf N N 0 0 7 -1 7 -inf 7 -0 7 1 7 +inf N N 0 0 7 -1 7 nan 7 -0 7 1 7 nan N N 0 0 7 -inf 7 +inf 7 -0 7 +inf 7 -inf N N 0 0 7 -inf 7 1 7 -0 7 +inf 7 -1 N N 0 0 7 -inf 7 +0 7 -0 7 +inf 7 -0 N N 0 0 7 -inf 7 -0 7 -0 7 +inf 7 +0 N N 0 0 7 -inf 7 -1 7 -0 7 +inf 7 1 N N 0 0 7 -inf 7 -inf 7 -0 7 +inf 7 +inf N N 0 0 7 -inf 7 nan 7 -0 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 -0 7 nan 7 -inf N N 0 0 7 nan 7 1 7 -0 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 -0 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 -0 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 -0 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 -0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 nan 7 nan N N 0 0 7 +inf 7 +inf 7 +0 7 -inf 7 -inf N N 0 0 7 +inf 7 1 7 +0 7 -inf 7 -1 N N 0 0 7 +inf 7 +0 7 +0 7 -inf 7 -0 N N 0 0 7 +inf 7 -0 7 +0 7 -inf 7 +0 N N 0 0 7 +inf 7 -1 7 +0 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 +0 7 -inf 7 +inf N N 0 0 7 +inf 7 nan 7 +0 7 -inf 7 nan N N 0 0 7 1 7 +inf 7 +0 7 -1 7 -inf N N 0 0 7 1 7 -inf 7 +0 7 -1 7 +inf N N 0 0 7 1 7 nan 7 +0 7 -1 7 nan N N 0 0 7 +0 7 +inf 7 +0 7 -0 7 -inf N N 0 0 7 +0 7 -inf 7 +0 7 -0 7 +inf N N 0 0 7 +0 7 nan 7 +0 7 -0 7 nan N N 0 0 7 0 7 +inf 7 +0 7 +0 7 -inf N N 0 0 7 0 7 -inf 7 +0 7 +0 7 +inf N N 0 0 7 0 7 nan 7 +0 7 +0 7 nan N N 0 0 7 -1 7 +inf 7 +0 7 1 7 -inf N N 0 0 7 -1 7 -inf 7 +0 7 1 7 +inf N N 0 0 7 -1 7 nan 7 +0 7 1 7 nan N N 0 0 7 -inf 7 +inf 7 +0 7 +inf 7 -inf N N 0 0 7 -inf 7 1 7 +0 7 +inf 7 -1 N N 0 0 7 -inf 7 +0 7 +0 7 +inf 7 -0 N N 0 0 7 -inf 7 -0 7 +0 7 +inf 7 +0 N N 0 0 7 -inf 7 -1 7 +0 7 +inf 7 1 N N 0 0 7 -inf 7 -inf 7 +0 7 +inf 7 +inf N N 0 0 7 -inf 7 nan 7 +0 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 +0 7 nan 7 -inf N N 0 0 7 nan 7 1 7 +0 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 +0 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 +0 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 +0 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 +0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 nan 7 nan N N 0 0 7 +inf 7 +inf 7 1 7 -inf 7 -inf N N 0 0 7 +inf 7 1 7 1 7 -inf 7 -1 N N 0 0 7 +inf 7 +0 7 1 7 -inf 7 -0 N N 0 0 7 +inf 7 -0 7 1 7 -inf 7 +0 N N 0 0 7 +inf 7 -1 7 1 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 1 7 -inf 7 +inf N N 0 0 7 +inf 7 nan 7 1 7 -inf 7 nan N N 0 0 7 2 7 +inf 7 1 7 -1 7 -inf N N 0 0 7 2 7 -inf 7 1 7 -1 7 +inf N N 0 0 7 2 7 nan 7 1 7 -1 7 nan N N 0 0 7 1 7 +inf 7 1 7 -0 7 -inf N N 0 0 7 1 7 -inf 7 1 7 -0 7 +inf N N 0 0 7 1 7 nan 7 1 7 -0 7 nan N N 0 0 7 1 7 +inf 7 1 7 +0 7 -inf N N 0 0 7 1 7 -inf 7 1 7 +0 7 +inf N N 0 0 7 1 7 nan 7 1 7 +0 7 nan N N 0 0 7 0 7 +inf 7 1 7 1 7 -inf N N 0 0 7 0 7 -inf 7 1 7 1 7 +inf N N 0 0 7 0 7 nan 7 1 7 1 7 nan N N 0 0 7 -inf 7 +inf 7 1 7 +inf 7 -inf N N 0 0 7 -inf 7 1 7 1 7 +inf 7 -1 N N 0 0 7 -inf 7 +0 7 1 7 +inf 7 -0 N N 0 0 7 -inf 7 -0 7 1 7 +inf 7 +0 N N 0 0 7 -inf 7 -1 7 1 7 +inf 7 1 N N 0 0 7 -inf 7 -inf 7 1 7 +inf 7 +inf N N 0 0 7 -inf 7 nan 7 1 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 1 7 nan 7 -inf N N 0 0 7 nan 7 1 7 1 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 1 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 1 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 1 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 1 7 nan 7 nan N N 0 0 7 +inf 7 +inf 7 +inf 7 -inf 7 -inf N N 0 0 7 +inf 7 1 7 +inf 7 -inf 7 -1 N N 0 0 7 +inf 7 +0 7 +inf 7 -inf 7 -0 N N 0 0 7 +inf 7 -0 7 +inf 7 -inf 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 +inf N N 0 0 7 +inf 7 nan 7 +inf 7 -inf 7 nan N N 0 0 7 +inf 7 +inf 7 +inf 7 -1 7 -inf N N 0 0 7 +inf 7 1 7 +inf 7 -1 7 -1 N N 0 0 7 +inf 7 +0 7 +inf 7 -1 7 -0 N N 0 0 7 +inf 7 -0 7 +inf 7 -1 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 -1 7 +inf N N 0 0 7 +inf 7 nan 7 +inf 7 -1 7 nan N N 0 0 7 +inf 7 +inf 7 +inf 7 -0 7 -inf N N 0 0 7 +inf 7 1 7 +inf 7 -0 7 -1 N N 0 0 7 +inf 7 +0 7 +inf 7 -0 7 -0 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 -0 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 -0 7 +inf N N 0 0 7 +inf 7 nan 7 +inf 7 -0 7 nan N N 0 0 7 +inf 7 +inf 7 +inf 7 +0 7 -inf N N 0 0 7 +inf 7 1 7 +inf 7 +0 7 -1 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 -0 N N 0 0 7 +inf 7 -0 7 +inf 7 +0 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 +0 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 +0 7 +inf N N 0 0 7 +inf 7 nan 7 +inf 7 +0 7 nan N N 0 0 7 +inf 7 +inf 7 +inf 7 1 7 -inf N N 0 0 7 +inf 7 1 7 +inf 7 1 7 -1 N N 0 0 7 +inf 7 +0 7 +inf 7 1 7 -0 N N 0 0 7 +inf 7 -0 7 +inf 7 1 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 1 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 1 7 +inf N N 0 0 7 +inf 7 nan 7 +inf 7 1 7 nan N N 0 0 7 nan 7 +inf 7 +inf 7 +inf 7 -inf N N 0 0 7 nan 7 1 7 +inf 7 +inf 7 -1 N N 0 0 7 nan 7 +0 7 +inf 7 +inf 7 -0 N N 0 0 7 nan 7 -0 7 +inf 7 +inf 7 +0 N N 0 0 7 nan 7 -1 7 +inf 7 +inf 7 1 N N 0 0 7 nan 7 -inf 7 +inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 +inf 7 nan 7 -inf N N 0 0 7 nan 7 1 7 +inf 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 +inf 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 +inf 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 +inf 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 +inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 -inf 7 -inf N N 0 0 7 nan 7 1 7 nan 7 -inf 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 -inf 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 -inf 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 -1 7 -inf N N 0 0 7 nan 7 1 7 nan 7 -1 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 -1 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 -1 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -1 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 -0 7 -inf N N 0 0 7 nan 7 1 7 nan 7 -0 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 -0 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 -0 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -0 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 +0 7 -inf N N 0 0 7 nan 7 1 7 nan 7 +0 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 +0 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 +0 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +0 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 1 7 -inf N N 0 0 7 nan 7 1 7 nan 7 1 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 1 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 1 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 1 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 -inf N N 0 0 7 nan 7 1 7 nan 7 +inf 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 +inf 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 +inf 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 +inf 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 nan 7 -inf N N 0 0 7 nan 7 1 7 nan 7 nan 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 nan 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 nan 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 nan 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan N N # values with only 1, -1, +0, -0 0 0 7 0 7 1 7 -1 7 -1 7 -1 N N 0 0 7 0 7 +0 7 -1 7 -1 7 -0 N N 0 0 7 0 7 -0 7 -1 7 -1 7 +0 N N 0 0 7 0 7 -1 7 -1 7 -1 7 1 N N 0 0 7 -1 7 1 7 -1 7 -0 7 -1 N N 0 0 7 -1 7 +0 7 -1 7 -0 7 -0 N N 0 0 7 -1 7 -0 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 -1 7 -1 7 -0 7 1 N N 0 0 7 -1 7 1 7 -1 7 +0 7 -1 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 -0 N N 0 0 7 -1 7 -0 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 -1 7 -1 7 +0 7 1 N N 0 0 7 -2 7 1 7 -1 7 1 7 -1 N N 0 0 7 -2 7 +0 7 -1 7 1 7 -0 N N 0 0 7 -2 7 -0 7 -1 7 1 7 +0 N N 0 0 7 -2 7 -1 7 -1 7 1 7 1 N N 0 0 7 1 7 1 7 -0 7 -1 7 -1 N N 0 0 7 1 7 +0 7 -0 7 -1 7 -0 N N 0 0 7 1 7 -0 7 -0 7 -1 7 +0 N N 0 0 7 1 7 -1 7 -0 7 -1 7 1 N N 0 0 7 0 7 1 7 -0 7 -0 7 -1 N N 0 0 7 0 7 +0 7 -0 7 -0 7 -0 N N 0 0 7 0 7 -0 7 -0 7 -0 7 +0 N N 0 0 7 0 7 -1 7 -0 7 -0 7 1 N N 0 0 7 -0 7 1 7 -0 7 +0 7 -1 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 -0 N N 0 0 7 -0 7 -0 7 -0 7 +0 7 +0 N N 0 0 7 -0 7 -1 7 -0 7 +0 7 1 N N 0 0 7 -1 7 1 7 -0 7 1 7 -1 N N 0 0 7 -1 7 +0 7 -0 7 1 7 -0 N N 0 0 7 -1 7 -0 7 -0 7 1 7 +0 N N 0 0 7 -1 7 -1 7 -0 7 1 7 1 N N 0 0 7 1 7 1 7 +0 7 -1 7 -1 N N 0 0 7 1 7 +0 7 +0 7 -1 7 -0 N N 0 0 7 1 7 -0 7 +0 7 -1 7 +0 N N 0 0 7 1 7 -1 7 +0 7 -1 7 1 N N 0 0 7 +0 7 1 7 +0 7 -0 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 -0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 -1 7 +0 7 -0 7 1 N N 0 0 7 0 7 1 7 +0 7 +0 7 -1 N N 0 0 7 0 7 +0 7 +0 7 +0 7 -0 N N 0 0 7 0 7 -0 7 +0 7 +0 7 +0 N N 0 0 7 0 7 -1 7 +0 7 +0 7 1 N N 0 0 7 -1 7 1 7 +0 7 1 7 -1 N N 0 0 7 -1 7 +0 7 +0 7 1 7 -0 N N 0 0 7 -1 7 -0 7 +0 7 1 7 +0 N N 0 0 7 -1 7 -1 7 +0 7 1 7 1 N N 0 0 7 2 7 1 7 1 7 -1 7 -1 N N 0 0 7 2 7 +0 7 1 7 -1 7 -0 N N 0 0 7 2 7 -0 7 1 7 -1 7 +0 N N 0 0 7 2 7 -1 7 1 7 -1 7 1 N N 0 0 7 1 7 1 7 1 7 -0 7 -1 N N 0 0 7 1 7 +0 7 1 7 -0 7 -0 N N 0 0 7 1 7 -0 7 1 7 -0 7 +0 N N 0 0 7 1 7 -1 7 1 7 -0 7 1 N N 0 0 7 1 7 1 7 1 7 +0 7 -1 N N 0 0 7 1 7 +0 7 1 7 +0 7 -0 N N 0 0 7 1 7 -0 7 1 7 +0 7 +0 N N 0 0 7 1 7 -1 7 1 7 +0 7 1 N N 0 0 7 0 7 1 7 1 7 1 7 -1 N N 0 0 7 0 7 +0 7 1 7 1 7 -0 N N 0 0 7 0 7 -0 7 1 7 1 7 +0 N N 0 0 7 0 7 -1 7 1 7 1 7 1 N N # inexact return values - - 2 -8 2 -8 3 1 3 8 3 7 D D - - 2 -8 2 -8 3 1 3 8 3 7 N N + + 2 -6 2 -6 3 1 3 8 3 7 U U + + 2 -6 2 -6 3 1 3 8 3 7 Z Z mpc-1.3.1/tests/tabs.c0000644000175100017460000000211513227377425011474 00000000000000/* tabs -- test file for mpc_abs. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpfr_inex = mpc_abs (P[1].mpfr, P[2].mpc, P[3].mpfr_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("abs.dsc", "abs.dat"); tgeneric_template ("abs.dsc", 2, 1024, 1, 1024); test_end (); return 0; } mpc-1.3.1/tests/mul.dat0000644000175100017460000003247114345571363011675 00000000000000# Data file for mpc_mul # # Copyright (C) 2008, 2010, 2011, 2012, 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM RND_RE RND_IM # # See add.dat for more details. # special values (following ISO C99 standard, G.5.1) 0 0 53 nan 53 +inf 53 -inf 53 -inf 53 -inf 53 -inf N Z 0 0 53 nan 53 +inf 53 -inf 53 +inf 53 +1 53 -inf Z U 0 0 53 +inf 53 -inf 53 +inf 53 -inf 53 +inf 53 +0 U D 0 0 53 +inf 53 -inf 53 +inf 53 +inf 53 -0 53 -1 D N 0 0 53 -inf 53 +inf 53 -inf 53 -inf 53 -0 53 -1 N U 0 0 53 -inf 53 +inf 53 -inf 53 +inf 53 +inf 53 nan Z D 0 0 53 -inf 53 -inf 53 +inf 53 -inf 53 nan 53 -1 U N 0 0 53 nan 53 nan 53 +inf 53 +inf 53 -0 53 nan D Z 0 0 53 nan 53 nan 53 -inf 53 -inf 53 nan 53 nan N D 0 0 53 -inf 53 -inf 53 -1 53 -inf 53 +inf 53 -1 N D 0 0 53 -inf 53 nan 53 -inf 53 +1 53 +inf 53 -0 Z N 0 0 53 +inf 53 nan 53 +1 53 -inf 53 -0 53 +1 U Z 0 0 53 nan 53 nan 53 +inf 53 +1 53 -0 53 -0 D U 0 0 53 nan 53 -inf 53 -1 53 -inf 53 +inf 53 nan N N 0 0 53 nan 53 -inf 53 -inf 53 +1 53 nan 53 +1 Z Z 0 0 53 nan 53 nan 53 +1 53 -inf 53 -0 53 nan U U 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 nan D D 0 0 53 +inf 53 nan 53 -0 53 -inf 53 +0 53 +inf D D 0 0 53 -inf 53 nan 53 -inf 53 +0 53 +1 53 -0 N Z 0 0 53 nan 53 nan 53 +0 53 -inf 53 -0 53 -0 Z U 0 0 53 -inf 53 nan 53 +inf 53 +0 53 -inf 53 nan U D 0 0 53 -inf 53 nan 53 -0 53 -inf 53 nan 53 -1 D N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 nan N U 0 0 53 nan 53 nan 53 +0 53 -inf 53 nan 53 nan Z D 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 -1 Z D 0 0 53 -0 53 +0 53 -1 53 -0 53 +0 53 -0 U N 0 0 53 -inf 53 nan 53 -0 53 +1 53 nan 53 +inf D Z 0 0 53 nan 53 nan 53 +1 53 -0 53 -1 53 nan N D 0 0 53 nan 53 nan 53 +0 53 +1 53 nan 53 -0 Z N 0 0 53 nan 53 nan 53 -1 53 -0 53 nan 53 nan U Z 0 0 53 +0 53 +0 53 -0 53 +0 53 +0 53 -0 U Z 0 0 53 nan 53 nan 53 +0 53 -0 53 nan 53 -inf D U 0 0 53 nan 53 nan 53 +0 53 +0 53 -1 53 nan N N 0 0 53 nan 53 nan 53 -0 53 -0 53 nan 53 -0 Z Z 0 0 53 nan 53 nan 53 -0 53 +0 53 nan 53 nan U U 0 0 53 +inf 53 nan 53 nan 53 -inf 53 nan 53 +inf U U 0 0 53 -inf 53 nan 53 +inf 53 nan 53 -1 53 nan D D 0 0 53 nan 53 nan 53 nan 53 -inf 53 nan 53 -0 N Z 0 0 53 nan 53 nan 53 -inf 53 nan 53 nan 53 nan Z U 0 0 53 nan 53 nan 53 +1 53 nan 53 nan 53 -1 Z U 0 0 53 nan 53 nan 53 nan 53 +1 53 -0 53 nan U D 0 0 53 nan 53 nan 53 -1 53 nan 53 nan 53 nan D N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 nan D N 0 0 53 nan 53 nan 53 +0 53 nan 53 nan 53 nan N U 0 0 53 nan 53 nan 53 nan 53 nan 53 nan 53 nan N U # pure real arguments 0 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-52 53 -0 N N 0 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-52 53 -0 Z Z 0 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-52 53 -0 U U 0 0 53 -0x10000000000001p-52 53 -0 53 -1 53 -0 53 0x10000000000001p-52 53 -0 D D # one pure real argument 0 0 53 0x10000000000001p-52 53 0x10000000000001p-52 53 +1 53 +1 53 0x10000000000001p-52 53 -0 N N 0 0 53 0x10000000000001p-52 53 -0x10000000000001p-51 53 +1 53 -2 53 0x10000000000001p-52 53 -0 Z Z - + 53 -0x30000000000004p-52 53 0x30000000000004p-52 53 -3 53 +3 53 0x10000000000001p-52 53 +0 N N + - 53 -0x30000000000002p-52 53 0x30000000000002p-52 53 -3 53 +3 53 0x10000000000001p-52 53 +0 Z Z + + 53 -0x30000000000002p-52 53 0x30000000000004p-52 53 -3 53 +3 53 0x10000000000001p-52 53 +0 U U - - 53 -0x30000000000004p-52 53 0x30000000000002p-52 53 -3 53 +3 53 0x10000000000001p-52 53 +0 D D 0 0 53 -0x10000000000001p-52 53 -0x10000000000001p-50 53 -1 53 -4 53 0x10000000000001p-52 53 +0 D D 0 0 53 +0 53 +0 53 +0 53 +0 53 0x10000000000001p-52 53 -1 N N 0 0 53 +0 53 -0 53 +0 53 -0 53 0x10000000000001p-52 53 -2 Z Z 0 0 53 +0 53 +0 53 +0 53 +0 53 0x10000000000001p-52 53 +3 U U 0 0 53 -0 53 -0 53 -0 53 -0 53 0x10000000000001p-52 53 +4 D D # pure imaginary arguments 0 0 53 -0x10000000000001p-52 53 -0 53 -0 53 0x10000000000001p-52 53 -0 53 +1 N N 0 0 53 -0x10000000000001p-52 53 +0 53 +0 53 0x10000000000001p-52 53 -0 53 +1 Z Z 0 0 53 -0x10000000000001p-52 53 +0 53 +0 53 0x10000000000001p-52 53 -0 53 +1 U U 0 0 53 -0x10000000000001p-52 53 -0 53 -0 53 0x10000000000001p-52 53 -0 53 +1 D D # one pure imaginary argument 0 0 53 -0x10000000000001p-52 53 -0x10000000000001p-52 53 -0 53 0x10000000000001p-52 53 -1 53 +1 N N 0 0 53 +0x10000000000001p-52 53 -0x10000000000001p-51 53 +0 53 0x10000000000001p-52 53 -2 53 -1 Z Z + - 53 0x30000000000004p-52 53 -0x30000000000004p-52 53 +0 53 0x10000000000001p-52 53 -3 53 -3 N N - + 53 0x30000000000002p-52 53 -0x30000000000002p-52 53 +0 53 0x10000000000001p-52 53 -3 53 -3 Z Z + + 53 0x30000000000004p-52 53 -0x30000000000002p-52 53 +0 53 0x10000000000001p-52 53 -3 53 -3 U U - - 53 0x30000000000002p-52 53 -0x30000000000004p-52 53 +0 53 0x10000000000001p-52 53 -3 53 -3 D D 0 0 53 +0x10000000000001p-52 53 -0x10000000000001p-50 53 -0 53 0x10000000000001p-52 53 -4 53 -1 D D # big precision uses Karatsuba method 0 0 4096 0x1420176785BD601FC018AD36471p-96 4096 -0x1ECCDBDA38B2611A32848E7ADF43p-100 53 0x6B2E363676587p-44 53 0x1AC20AAC49ED37p-47 53 0x12264C57B44C6Bp-53 53 -0x138639A4B8D8B3p-50 N N # Karatsuba case where x=0 since ad=bc: (1+i)^2 at artificially high # precision so that Karatsuba is actually used. 0 0 4096 0 4096 2 4096 1 4096 1 4096 1 4096 1 N N # trigger the line reducing prec_x to prec_u 0 0 4096 0 4096 2 40960 1 40960 1 40960 1 40960 1 N N # another particular cases + + 6 -0x9p-497 6 0x33p-315 6 -0x1dp-73 6 0x3p148 6 0x11p-463 6 0x3p-645 N N + - 6 0x33p-315 6 0x9p-497 6 0x3p148 6 0x1dp-73 6 0x11p-463 6 0x3p-645 N N 0 0 4 0x1p-1902 4 0x3p-1085 4 -0x1p-892 4 -0x3p-75 4 -0x1p-1010 4 0 N N # a few particular values 0 0 8 10 8 -5 8 4 8 3 8 1 8 -2 N N + + 27 0b1.10110000001100010010000000e-3 27 0b1.00111100000010100001011001e-1 27 0b1.11111011011000010101000000e-2 27 0b1.11010001010110111001110001e-3 27 0b1.10100101110110011011100100e-1 27 0b1.10111100011000001100110011e-1 N N 0 0 15 2 15 0 15 -1 15 -1 15 -1 15 1 N N # check squares, copied from sqr.dat + - 53 0xfdbac097c8dc58p+2096 53 -0x7f6e5d4c3b2a2p+1036 53 -0xfedcba9876543p+1024 53 0x10000000000001p-42 53 -0xfedcba9876543p+1024 53 0x10000000000001p-42 U D + 0 30 309485009533114692573069312 30 18889465966662952943616 30 17592186044416 30 536870913 30 17592186044416 30 536870913 N N 0 0 4 0 4 2 4 1 4 1 4 1 4 1 N N + + 8 0b1.1000111e-3 8 0b1.1100111e-3 27 0b1.11111011011000010101000000e-2 27 0b1.11010001010110111001110001e-3 27 0b1.11111011011000010101000000e-2 27 0b1.11010001010110111001110001e-3 N N # the following is the square (x+i*y)^2 where |x| >= 2.34*2^768635652 and # |y| <= 13.09*2^768635572, thus x^2 >= 5.47*2^1537271304 and # y^2 <= 171.34*2^1537271144 < x*2^(-155) thus x^2-y^2 should overflow # with the default emax = 1073741821 ? + 3464 inf 3464 inf 866 -0x2.5763c6519ef1510f8afa101a210b8030b1909cc17004db561a25d9b53e2c08c41c01e8bbac5af6299b9d8786030aa14943d841798c8c369287942e4d4cec42a60ab0922af931159805e631128e97f973754ad53972d5d320a651a3b4a667f0ef2b92dbd698d159c3642675140@192158913 866 -0xd.15f2d530934dd930d66e89d70762d2337a8f973dd6915eb6b532fd372fcc955df1d852632d4e46fe64154ceda991a1302caf1b0ec622497e3e5724dd05b1c89a06e28d7e18e8af58f5ff4c9998cb31714688867524f41e0b31e847c1bf40de5127f858069998efd7c3e599080@192158893 866 -0x2.5763c6519ef1510f8afa101a210b8030b1909cc17004db561a25d9b53e2c08c41c01e8bbac5af6299b9d8786030aa14943d841798c8c369287942e4d4cec42a60ab0922af931159805e631128e97f973754ad53972d5d320a651a3b4a667f0ef2b92dbd698d159c3642675140@192158913 866 -0xd.15f2d530934dd930d66e89d70762d2337a8f973dd6915eb6b532fd372fcc955df1d852632d4e46fe64154ceda991a1302caf1b0ec622497e3e5724dd05b1c89a06e28d7e18e8af58f5ff4c9998cb31714688867524f41e0b31e847c1bf40de5127f858069998efd7c3e599080@192158893 N N ? + 2256 0 2256 -0 564 0xc.87999bfd1cb1a64288881e214b7cf1af979863b23c030b79c4a8bebb39177967608388a2e4df527977e7755a25df8af8f72fdd6dd2f42bd00de83088b4e9b59ce85caf2e6b0c0@-184298749 564 -0x2.5109af459d4daf357e09475ec991cdc9b02c8f7dfacdc060d2a24710d09c997f8aea6dbd46f10828c30b583fdcc90d7dcbb895689d594d3813db40784d2309e450d1fb6e38da8@-184298726 564 0xc.87999bfd1cb1a64288881e214b7cf1af979863b23c030b79c4a8bebb39177967608388a2e4df527977e7755a25df8af8f72fdd6dd2f42bd00de83088b4e9b59ce85caf2e6b0c0@-184298749 564 -0x2.5109af459d4daf357e09475ec991cdc9b02c8f7dfacdc060d2a24710d09c997f8aea6dbd46f10828c30b583fdcc90d7dcbb895689d594d3813db40784d2309e450d1fb6e38da8@-184298726 N N # intermediate over- and underflows - + 100 -inf 100 +inf 100 0x1@125000750 100 0x3@125000750 100 0x1@225000750 100 0x2@225000750 N N - + 100 -inf 100 +inf 100 0x1@225000750 100 0x2@225000750 100 0x1@125000750 100 0x3@125000750 N N - - 100 -inf 100 -inf 100 0x1@225000750 100 -0x2@225000750 100 0x1@125000750 100 -0x3@125000750 N N + - 100 -0 100 +0 100 0x1@-125000750 100 0x3@-125000750 100 0x1@-225000750 100 0x2@-225000750 N N + - 100 -0 100 +0 100 0x1@-225000750 100 0x2@-225000750 100 0x1@-125000750 100 0x3@-125000750 N N - - 100 +0 100 +0 100 0x3@-125000750 100 0x1@-125000750 100 0x1@-225000750 100 0x2@-225000750 N N - - 100 +0 100 +0 100 0x4@-125000750 100 0x1@-125000750 100 0x1@-225000750 100 0x2@-225000750 N N + - 100 -0 100 +0 100 0x2@-225000750 100 0x1@-225000750 100 0x1@-125000750 100 0x3@-125000750 N N 0 - 100 +0 100 +0 100 0x1@-225000750 100 0x1@-225000750 100 0x1@-125000750 100 0x1@-125000750 N N 0 + 100 +0 100 +inf 100 0x1@125000750 100 0x1@125000750 100 0x1@225000750 100 0x1@225000750 N N + 0 100 +inf 100 +0 100 0x1@125000750 100 0x1@125000750 100 0x1@225000750 100 -0x1@225000750 N N # the same with directed rounding - + 10 -inf 10 +inf 10 0x1@125000750 10 0x3@125000750 10 0x1@225000750 10 0x2@225000750 D U - + 10 -inf 10 +inf 10 0x1@125000750 10 0x3@125000750 10 0x1@225000750 10 0x2@225000750 A A # the following test assumes the maximum MPFR exponent is 1073741821 # and the minimum exponent is -1073741821 + - 10 -0b1.111111111e1073741820 10 0b1.111111111e1073741820 10 0x1@125000750 10 0x3@125000750 10 0x1@225000750 10 0x2@225000750 U D + - 10 -0 10 +0 10 0x1@-125000750 10 0x3@-125000750 10 0x1@-225000750 10 0x2@-225000750 U D - + 10 -0b1e-1073741822 10 0b1e-1073741822 10 0x1@-125000750 10 0x3@-125000750 10 0x1@-225000750 10 0x2@-225000750 D U - + 10 -0b1e-1073741822 10 0b1e-1073741822 10 0x1@-125000750 10 0x3@-125000750 10 0x1@-225000750 10 0x2@-225000750 A A # starting with Karatsuba - + 10000 -inf 100 +inf 100 0x1@125000750 100 0x3@125000750 100 0x1@225000750 100 0x2@225000750 N N - + 10000 -inf 100 +inf 100 0x1@225000750 100 0x2@225000750 100 0x1@125000750 100 0x3@125000750 N N - - 10000 -inf 100 -inf 100 0x1@225000750 100 -0x2@225000750 100 0x1@125000750 100 -0x3@125000750 N N + - 10000 -0 100 +0 100 0x1@-125000750 100 0x3@-125000750 100 0x1@-225000750 100 0x2@-225000750 N N + - 10000 -0 100 +0 100 0x1@-225000750 100 0x2@-225000750 100 0x1@-125000750 100 0x3@-125000750 N N - - 10000 +0 100 +0 100 0x3@-125000750 100 0x1@-125000750 100 0x1@-225000750 100 0x2@-225000750 N N - - 10000 +0 100 +0 100 0x4@-125000750 100 0x1@-125000750 100 0x1@-225000750 100 0x2@-225000750 N N + - 10000 -0 100 +0 100 0x2@-225000750 100 0x1@-225000750 100 0x1@-125000750 100 0x3@-125000750 N N 0 - 10000 +0 100 +0 100 0x1@-225000750 100 0x1@-225000750 100 0x1@-125000750 100 0x1@-125000750 N N 0 + 10000 +0 100 +inf 100 0x1@125000750 100 0x1@125000750 100 0x1@225000750 100 0x1@225000750 N N + 0 10000 +inf 100 +0 100 0x1@125000750 100 0x1@125000750 100 0x1@225000750 100 -0x1@225000750 N N + + 10000 +inf 100 +inf 100 0x1@125000750 100 0x3@125000750 100 0x1@143434706 100 0x2@143434705 N N # improve code coverage: case where sign_x==0 in mpc_mul_karatsuba 0 0 2000 6 2000 8 2000 4 2000 2 2000 2 2000 1 N N 0 0 2000 0 2000 4 2000 2 2000 2 2000 1 2000 1 N N + 0 2 1 2 0x2p-536870913 2 1 2 0x1p-536870913 2 1 2 0x1p-536870913 N N 0 - 2 0 2 1 2 0x1p-536870913 2 1 2 1 2 0x1p-536870913 N N # error in sign of 0 with exact Karatsuba found on 2022-11-30 0 0 1473 -50 1473 +0 20 1 20 2 20 -10 20 20 N N mpc-1.3.1/tests/tget_version.c0000644000175100017460000000351212523111044013232 00000000000000/* tget_version -- Test file for mpc_get_version Copyright (C) 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include #include "mpc-tests.h" int main (void) { #ifdef __MPIR_VERSION printf ("MPIR: include %d.%d.%d, lib %s\n", __MPIR_VERSION, __MPIR_VERSION_MINOR, __MPIR_VERSION_PATCHLEVEL, mpir_version); #else printf ("GMP: include %d.%d.%d, lib %s\n", __GNU_MP_VERSION, __GNU_MP_VERSION_MINOR, __GNU_MP_VERSION_PATCHLEVEL, gmp_version); #endif printf ("MPFR: include %s, lib %s\n", MPFR_VERSION_STRING, mpfr_get_version ()); printf ("MPC: include %s, lib %s\n", MPC_VERSION_STRING, mpc_get_version ()); if (strcmp (mpc_get_version (), MPC_VERSION_STRING) != 0) { printf ("Error: header and library do not match\n" "mpc_get_version: \"%s\"\nMPC_VERSION_STRING: \"%s\"\n", mpc_get_version(), MPC_VERSION_STRING); exit (1); } #ifdef MPC_CC printf ("C compiler: %s\n", MPC_CC); #endif #ifdef MPC_GCC printf ("GCC: %s\n", MPC_GCC); #endif #ifdef MPC_GCC_VERSION printf ("GCC version: %s\n", MPC_GCC_VERSION); #endif return 0; } mpc-1.3.1/tests/ttanh.c0000644000175100017460000000230413227377425011661 00000000000000/* ttanh -- test file for mpc_tanh. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_tanh (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_tanh (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("tanh.dsc", "tanh.dat"); tgeneric_template ("tanh.dsc", 2, 512, 7, 4); test_end (); return 0; } mpc-1.3.1/tests/cmp_abs.dsc0000644000175100017460000000153613227377425012504 00000000000000# Description file for mpc_cmp_abs # # Copyright (C) 2016 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_cmp_abs RETURN: int OUTPUT: INPUT: mpc_srcptr mpc_srcptr mpc-1.3.1/tests/tsub.c0000644000175100017460000000257313227377425011530 00000000000000/* tsub -- test file for mpc_sub. Copyright (C) 2008, 2011, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sub (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sub (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_sub (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("sub.dsc", "sub.dat"); tgeneric_template ("sub.dsc", 2, 1024, 7, 128); test_end (); return 0; } mpc-1.3.1/tests/acosh.dat0000644000175100017460000001505112426164730012162 00000000000000# Data file for mpc_acosh. # # Copyright (C) 2009 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(acos op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(acos op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 + 53 +inf 53 -0x12D97C7F3321D2p-51 53 -inf 53 -inf N N 0 + 53 +inf 53 -0x1921FB54442D18p-51 53 -inf 53 -1 N N 0 + 53 +inf 53 -0x1921FB54442D18p-51 53 -inf 53 -0 N N 0 - 53 +inf 53 0x1921FB54442D18p-51 53 -inf 53 +0 N N 0 - 53 +inf 53 0x1921FB54442D18p-51 53 -inf 53 +1 N N 0 - 53 +inf 53 0x12D97C7F3321D2p-51 53 -inf 53 +inf N N 0 0 53 +inf 53 nan 53 -inf 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 -6 53 -inf N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 -0.5 53 -inf N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 -0.5 53 +inf N N 0 0 53 nan 53 nan 53 -0.5 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 -0 53 -inf N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 -0 53 -0 N N 0 - 53 +0 53 0x1921FB54442D18p-52 53 -0 53 +0 N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 -0 53 +inf N N 0 0 53 nan 53 nan 53 -0 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 +0 53 -inf N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +0 53 -0 N N 0 - 53 +0 53 0x1921FB54442D18p-52 53 +0 53 +0 N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 +0 53 +inf N N 0 0 53 nan 53 nan 53 +0 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 +6 53 -inf N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-53 53 +inf 53 -inf N N 0 0 53 +inf 53 -0 53 +inf 53 -1 N N 0 0 53 +inf 53 -0 53 +inf 53 -0 N N 0 0 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 +0 53 +inf 53 +1 N N 0 - 53 +inf 53 0x1921FB54442D18p-53 53 +inf 53 +inf N N 0 0 53 +inf 53 nan 53 +inf 53 nan N N 0 0 53 +inf 53 nan 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 -0 N N 0 0 53 nan 53 nan 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 +inf 53 nan 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument + + 53 0x1C34366179D427p-51 53 -0x1921FB54442D18p-51 53 -17 53 -0 N N + - 53 0x1C34366179D427p-51 53 0x1921FB54442D18p-51 53 -17 53 +0 N N 0 + 53 +0 53 -0x1921FB54442D18p-51 53 -1 53 -0 N N 0 - 53 +0 53 0x1921FB54442D18p-51 53 -1 53 +0 N N 0 - 53 +0 53 -0x10C152382D7366p-51 53 -0.5 53 -0 N N 0 + 53 +0 53 0x10C152382D7366p-51 53 -0.5 53 +0 N N 0 - 53 +0 53 -0x10C152382D7366p-52 53 +0.5 53 -0 N N 0 + 53 +0 53 0x10C152382D7366p-52 53 +0.5 53 +0 N N 0 0 53 +0 53 -0 53 +1 53 -0 N N 0 0 53 +0 53 +0 53 +1 53 +0 N N + 0 53 0x1C34366179D427p-51 53 -0 53 +17 53 -0 N N + 0 53 0x1C34366179D427p-51 53 +0 53 +17 53 +0 N N # pure imaginary argument - + 53 0x1C37C174A83DEDp-51 53 -0x1921FB54442D18p-52 53 -0 53 -17 N N - + 53 0x1C37C174A83DEDp-51 53 -0x1921FB54442D18p-52 53 +0 53 -17 N N + + 53 0x1C34366179D427p-53 53 -0x1921FB54442D18p-52 53 -0 53 -1 N N + + 53 0x1C34366179D427p-53 53 -0x1921FB54442D18p-52 53 +0 53 -1 N N + + 53 0x1ECC2CAEC5160Ap-54 53 -0x1921FB54442D18p-52 53 -0 53 -0.5 N N + + 53 0x1ECC2CAEC5160Ap-54 53 -0x1921FB54442D18p-52 53 +0 53 -0.5 N N + - 53 0x1ECC2CAEC5160Ap-54 53 0x1921FB54442D18p-52 53 -0 53 +0.5 N N + - 53 0x1ECC2CAEC5160Ap-54 53 0x1921FB54442D18p-52 53 +0 53 +0.5 N N + - 53 0x1C34366179D427p-53 53 0x1921FB54442D18p-52 53 -0 53 +1 N N + - 53 0x1C34366179D427p-53 53 0x1921FB54442D18p-52 53 +0 53 +1 N N - - 53 0x1C37C174A83DEDp-51 53 0x1921FB54442D18p-52 53 -0 53 +17 N N - - 53 0x1C37C174A83DEDp-51 53 0x1921FB54442D18p-52 53 +0 53 +17 N N # IEEE-754 double precision + + 53 0x1D6D2CFA9F3F11p-52 53 0x74C141310E695p-53 53 0x3243F6A8885A3p-48 53 0x162E42FEFA39EFp-53 N N mpc-1.3.1/tests/print_parameter.c0000644000175100017460000001066514345571363013747 00000000000000/* print_parameter.c -- Helper function for parameter printing. Copyright (C) 2012, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static const char *mpfr_rnd_mode [] = { "MPFR_RNDN", "MPFR_RNDZ", "MPFR_RNDU", "MPFR_RNDD", "MPFR_RNDA" }; const char *mpc_rnd_mode[] = { "MPC_RNDNN", "MPC_RNDZN", "MPC_RNDUN", "MPC_RNDDN", "MPC_RNDAN", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "MPC_RNDNZ", "MPC_RNDZZ", "MPC_RNDUZ", "MPC_RNDDZ", "MPC_RNDAZ", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "MPC_RNDNU", "MPC_RNDZU", "MPC_RNDUU", "MPC_RNDDU", "MPC_RNDAU", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "MPC_RNDND", "MPC_RNDZD", "MPC_RNDUD", "MPC_RNDDD", "MPC_RNDAD", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "MPC_RNDNA", "MPC_RNDZA", "MPC_RNDUA", "MPC_RNDDA", "MPC_RNDAA", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined", "undefined" }; /* needed in tio_str.c and tstrtoc.c, so not static */ #define MPFR_INEX_STR(inex) \ (inex) == TERNARY_NOT_CHECKED ? "?" \ : (inex) == +1 ? "+1" \ : (inex) == -1 ? "-1" : "0" void print_parameter (mpc_fun_param_t* params, int index) { switch (params->T[index]) { case NATIVE_INT: printf ("= %d\n", params->P[index].i); break; case NATIVE_UL: printf ("= %lu\n", params->P[index].ui); break; case NATIVE_L: printf ("= %ld\n", params->P[index].si); break; case NATIVE_D: printf ("= %e\n", params->P[index].d); break; case GMP_Z: gmp_printf ("= %Zd\n", params->P[index].mpz); break; case GMP_Q: gmp_printf ("= %Qd\n", params->P[index].mpq); break; case GMP_F: gmp_printf ("= %Fe\n", params->P[index].mpf); break; case MPFR_INEX: printf (" ternary value = %s\n", MPFR_INEX_STR (params->P[index].mpfr_inex)); break; case MPFR: printf ("[%lu]=", (unsigned long int) mpfr_get_prec (params->P[index].mpfr)); mpfr_out_str (stdout, 2, 0, params->P[index].mpfr, GMP_RNDN); printf ("\n"); break; case MPC_INEX: if (index >= params->nbout + params->nbin) printf (" ternary value = (%s, %s)\n", MPFR_INEX_STR (params->P[index].mpc_inex_data.real), MPFR_INEX_STR (params->P[index].mpc_inex_data.imag)); else printf (" ternary value = %s\n", MPC_INEX_STR (params->P[index].mpc_inex)); break; case MPC: printf ("[%lu,%lu]=", (unsigned long int) MPC_PREC_RE (params->P[index].mpc), (unsigned long int) MPC_PREC_IM (params->P[index].mpc)); mpc_out_str (stdout, 2, 0, params->P[index].mpc, MPC_RNDNN); printf ("\n"); break; case MPFR_RND: printf ("(rounding mode): %s\n", mpfr_rnd_mode[params->P[index].mpfr_rnd]); break; case MPC_RND: printf ("(rounding mode): %s\n", mpc_rnd_mode[params->P[index].mpc_rnd]); break; case MPCC_INEX: printf (" double ternary value = %s, %s\n", MPC_INEX_STR (MPC_INEX1 (params->P[index].mpcc_inex)), MPC_INEX_STR (MPC_INEX2 (params->P[index].mpcc_inex)) ); break; default: fprintf (stderr, "print_parameter: unsupported type.\n"); exit (1); } } mpc-1.3.1/tests/tdiv_ui.c0000644000175100017460000000225113227377425012207 00000000000000/* tdiv_ui.c -- test file for mpc_div_ui. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_div_ui (P[1].mpc, P[2].mpc, P[3].ui, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_div_ui (P[1].mpc, P[1].mpc, P[3].ui, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("div_ui.dsc", 2, 1024, 7, -1); test_end (); return 0; } mpc-1.3.1/tests/add_fr.dat0000644000175100017460000001254712426164730012313 00000000000000# Data file for mpc_add_fr. # # Copyright (C) 2008, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2 OP2 RND_RE RND_IM # # where op1 = op1_re + i * op1_im, rop = rop_re + i * rop_im, # The data are read from the file and stored in variables op1, op2, rop using # rounding to nearest when needed, for instance: rop_re is ROP_RE rounded to # nearest to the precision of PREC_ROP_RE. # ROP_RE is checked against Re(op1 + op2) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(op1) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 0 53 -inf 53 -inf 53 -inf 53 -inf 53 -inf N Z 0 0 53 -inf 53 +inf 53 -inf 53 +inf 53 -1 Z U 0 0 53 -inf 53 -0 53 -inf 53 -0 53 -0 U D 0 0 53 -inf 53 +0 53 -inf 53 +0 53 +0 D N 0 0 53 -inf 53 -1 53 -inf 53 -1 53 +1 N U 0 0 53 nan 53 +1 53 -inf 53 +1 53 +inf Z D 0 0 53 nan 53 nan 53 -inf 53 nan 53 nan U N 0 0 53 -inf 53 +inf 53 -1 53 +inf 53 -inf N Z 0 0 53 -2 53 -0 53 -1 53 -0 53 -1 Z U 0 0 53 -1 53 +0 53 -1 53 +0 53 -0 U D 0 0 53 -1 53 -1 53 -1 53 -1 53 +0 D N 0 0 53 +0 53 +1 53 -1 53 +1 53 +1 N U 0 0 53 +inf 53 nan 53 -1 53 nan 53 +inf Z D 0 0 53 nan 53 -inf 53 -1 53 -inf 53 nan U N 0 0 53 -inf 53 -0 53 -0 53 -0 53 -inf N Z 0 0 53 -1 53 +0 53 -0 53 +0 53 -1 Z U 0 0 53 -0 53 -1 53 -0 53 -1 53 -0 U D 0 0 53 -0 53 +1 53 -0 53 +1 53 +0 D N 0 0 53 +1 53 nan 53 -0 53 nan 53 +1 N U 0 0 53 +inf 53 -inf 53 -0 53 -inf 53 +inf Z D 0 0 53 nan 53 +inf 53 -0 53 +inf 53 nan U N 0 0 53 -inf 53 +0 53 +0 53 +0 53 -inf N Z 0 0 53 -1 53 -1 53 +0 53 -1 53 -1 Z U 0 0 53 +0 53 +1 53 +0 53 +1 53 -0 U D 0 0 53 +0 53 nan 53 +0 53 nan 53 +0 D N 0 0 53 +1 53 -inf 53 +0 53 -inf 53 +1 N U 0 0 53 +inf 53 +inf 53 +0 53 +inf 53 +inf Z D 0 0 53 nan 53 -0 53 +0 53 -0 53 nan U N 0 0 53 -inf 53 -1 53 +1 53 -1 53 -inf N Z 0 0 53 +0 53 +1 53 +1 53 +1 53 -1 Z U 0 0 53 +1 53 nan 53 +1 53 nan 53 -0 U D 0 0 53 +1 53 -inf 53 +1 53 -inf 53 +0 D N 0 0 53 +2 53 +inf 53 +1 53 +inf 53 +1 N U 0 0 53 +inf 53 -0 53 +1 53 -0 53 +inf Z D 0 0 53 nan 53 +0 53 +1 53 +0 53 nan U N 0 0 53 nan 53 +1 53 +inf 53 +1 53 -inf N Z 0 0 53 +inf 53 nan 53 +inf 53 nan 53 -1 Z U 0 0 53 +inf 53 -inf 53 +inf 53 -inf 53 -0 U D 0 0 53 +inf 53 +inf 53 +inf 53 +inf 53 +0 D N 0 0 53 +inf 53 -0 53 +inf 53 -0 53 +1 N U 0 0 53 +inf 53 +0 53 +inf 53 +0 53 +inf Z D 0 0 53 nan 53 -1 53 +inf 53 -1 53 nan U N 0 0 53 nan 53 nan 53 nan 53 nan 53 -inf N Z 0 0 53 nan 53 -inf 53 nan 53 -inf 53 -1 Z U 0 0 53 nan 53 +inf 53 nan 53 +inf 53 -0 U D 0 0 53 nan 53 -0 53 nan 53 -0 53 +0 D N 0 0 53 nan 53 +0 53 nan 53 +0 53 +1 N U 0 0 53 nan 53 -1 53 nan 53 -1 53 +inf Z D 0 0 53 nan 53 +1 53 nan 53 +1 53 nan U N # pure real argument - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-106 N N + 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 N N - 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-104 N N - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 Z Z + 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 U U - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 D D # pure imaginary argument 0 0 53 +1 53 +1 53 -0 53 1 53 +1 N N 0 0 53 +1 53 +1 53 +0 53 1 53 +1 Z Z 0 0 53 +1 53 +1 53 +0 53 1 53 +1 U U 0 0 53 +1 53 +1 53 -0 53 1 53 +1 D D # non-zero return values for imaginary part 0 + 2 0 2 8 3 0 3 7 3 0 N N 0 - 2 0 2 4 3 0 3 5 3 0 N N mpc-1.3.1/tests/div_2ui.dsc0000644000175100017460000000154513227377425012441 00000000000000# Description file for mpc_div_2ui # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_div_2ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/add_si.dsc0000644000175100017460000000161513227377425012321 00000000000000# Description file for mpc_add_si # # Copyright (C) 2008, 2010, 2011, 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_add_si RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr long int mpc_rnd_t mpc-1.3.1/tests/treimref.c0000644000175100017460000000243513227377425012365 00000000000000/* treimref -- test file for mpc_realref and mpc_imagref. Copyright (C) 2009, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" int main (void) { mpc_t z; test_start (); test_end (); mpc_init2 (z, 6); mpc_set_ui_ui (z, 17, 42, MPC_RNDNN); mpfr_set_ui (mpc_realref (z), 18, MPFR_RNDN); if (mpfr_get_ui (mpc_realref (z), MPFR_RNDN) != 18) { fprintf (stderr, "Error in mpfr_set_ui/mpc_realref\n"); exit (1); } mpfr_set_ui (mpc_imagref (z), 43, MPFR_RNDN); if (mpfr_get_ui (mpc_imagref (z), MPFR_RNDN) != 43) { fprintf (stderr, "Error in mpfr_set_ui/mpc_imagref\n"); exit (1); } mpc_clear (z); return 0; } mpc-1.3.1/tests/pow_z.dsc0000644000175100017460000000157213227377425012236 00000000000000# Description file for mpc_pow_z # # Copyright (C) 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_pow_fr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpz_srcptr mpc_rnd_t mpc-1.3.1/tests/add_ui.dsc0000644000175100017460000000162613227377425012325 00000000000000# Description file for mpc_add_ui # # Copyright (C) 2008, 2010, 2011, 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_add_ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/close_datafile.c0000644000175100017460000000154513227377425013507 00000000000000/* close_datafile.c -- Deallocate buffers and close datafile. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" void close_datafile (mpc_datafile_context_t *dc) { free (dc->pathname); fclose (dc->fd); } mpc-1.3.1/tests/texp.c0000644000175100017460000000232513227377425011526 00000000000000/* texp -- test file for mpc_exp. Copyright (C) 2002, 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_exp (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_exp (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("exp.dsc", "exp.dat"); tgeneric_template ("exp.dsc", 2, 512, 7, 256); test_end (); return 0; } mpc-1.3.1/tests/tacos.c0000644000175100017460000000613113717736770011664 00000000000000/* tacos -- test file for mpc_acos. Copyright (C) 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_acos (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_acos (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" /* test with reduced exponent range */ static void test_reduced (void) { mpfr_exp_t emin = mpfr_get_emin (); mpfr_exp_t emax = mpfr_get_emax (); mpc_t x, z, zr; mpfr_set_emin (-148); mpfr_set_emax (128); mpc_init2 (x, 24); mpc_init2 (z, 24); mpc_init2 (zr, 24); mpfr_set_flt (mpc_realref (x), -0x0.01f28c10p0f, MPFR_RNDN); mpfr_set_flt (mpc_imagref (x), -0x6.79cdd0p-68f, MPFR_RNDN); mpc_acos (z, x, MPC_RNDNN); mpfr_set_flt (mpc_realref (zr), 0x1.941242p0f, MPFR_RNDN); mpfr_set_flt (mpc_imagref (zr), 0x6.79da18p-68f, MPFR_RNDN); if (mpc_cmp (z, zr)) { printf ("Incorrect acos with reduced exponent range:\n"); mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr)); mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z)); exit (1); } mpc_clear (x); mpc_clear (z); mpc_clear (zr); mpfr_set_emin (emin); mpfr_set_emax (emax); } /* another test with reduced exponent range */ static void test_reduced2 (void) { mpfr_exp_t emin = mpfr_get_emin (); mpfr_exp_t emax = mpfr_get_emax (); mpc_t x, z, zr; mpfr_set_emin (-1073); mpfr_set_emax (1024); mpc_init2 (x, 53); mpc_init2 (z, 53); mpc_init2 (zr, 53); mpfr_set_d (mpc_realref (x), -2.2694475687286223e-15, MPFR_RNDN); mpfr_set_d (mpc_imagref (x), 2.7236935900137536e-309, MPFR_RNDN); mpc_acos (z, x, MPC_RNDNN); mpfr_set_d (mpc_realref (zr), 1.5707963267948988, MPFR_RNDN); mpfr_set_d (mpc_imagref (zr), -2.7236935900137536e-309, MPFR_RNDN); if (mpc_cmp (z, zr)) { printf ("Incorrect acos with reduced exponent range:\n"); mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr)); mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z)); exit (1); } mpc_clear (x); mpc_clear (z); mpc_clear (zr); mpfr_set_emin (emin); mpfr_set_emax (emax); } int main (void) { test_start (); test_reduced (); test_reduced2 (); data_check_template ("acos.dsc", "acos.dat"); tgeneric_template ("acos.dsc", 2, 512, 7, 7); test_end (); return 0; } mpc-1.3.1/tests/cos.dsc0000644000175100017460000000150313227377425011656 00000000000000# Description file for mpc_cos # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_cos RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/acosh.dsc0000644000175100017460000000150713227377425012173 00000000000000# Description file for mpc_acosh # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_acosh RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/acos.dat0000644000175100017460000001536712426164730012024 00000000000000# Data file for mpc_acos. # # Copyright (C) INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(acos op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(acos op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) - 0 53 0x12D97C7F3321D2p-51 53 +inf 53 -inf 53 -inf N N - 0 53 0x1921FB54442D18p-51 53 +inf 53 -inf 53 -1 N N - 0 53 0x1921FB54442D18p-51 53 +inf 53 -inf 53 -0 N N - 0 53 0x1921FB54442D18p-51 53 -inf 53 -inf 53 +0 N N - 0 53 0x1921FB54442D18p-51 53 -inf 53 -inf 53 +1 N N - 0 53 0x12D97C7F3321D2p-51 53 -inf 53 -inf 53 +inf N N 0 0 53 nan 53 inf 53 -inf 53 nan N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 -6 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 -0.5 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 -0.5 53 +inf N N 0 0 53 nan 53 nan 53 -0.5 53 nan N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 -0 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 +0 53 -0 53 -0 N N - 0 53 0x1921FB54442D18p-52 53 -0 53 -0 53 +0 N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 -0 53 +inf N N - 0 53 0x1921FB54442D18p-52 53 nan 53 -0 53 nan N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 +0 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 +0 53 +0 53 -0 N N - 0 53 0x1921FB54442D18p-52 53 -0 53 +0 53 +0 N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 +0 53 +inf N N - 0 53 0x1921FB54442D18p-52 53 nan 53 +0 53 nan N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 +0.5 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 +0.5 53 +inf N N 0 0 53 nan 53 nan 53 +0.5 53 nan N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 +6 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N - 0 53 0x1921FB54442D18p-53 53 +inf 53 +inf 53 -inf N N 0 0 53 +0 53 +inf 53 +inf 53 -1 N N 0 0 53 +0 53 +inf 53 +inf 53 -0 N N 0 0 53 +0 53 -inf 53 +inf 53 +0 N N 0 0 53 +0 53 -inf 53 +inf 53 +1 N N - 0 53 0x1921FB54442D18p-53 53 -inf 53 +inf 53 +inf N N 0 0 53 nan 53 inf 53 +inf 53 nan N N 0 0 53 nan 53 +inf 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 -0 N N 0 0 53 nan 53 nan 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 nan 53 -inf 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument - + 53 0x1921FB54442D18p-51 53 0x13D2B7539DBA4Cp-51 53 -6 53 -0 N N - - 53 0x1921FB54442D18p-51 53 -0x13D2B7539DBA4Cp-51 53 -6 53 +0 N N - + 53 0x1921FB54442D18p-51 53 0x15124271980435p-52 53 -2 53 -0 N N - - 53 0x1921FB54442D18p-51 53 -0x15124271980435p-52 53 -2 53 +0 N N - 0 53 0x1921FB54442D18p-51 53 +0 53 -1 53 -0 N N - 0 53 0x1921FB54442D18p-51 53 -0 53 -1 53 +0 N N + 0 53 0x10C152382D7366p-51 53 +0 53 -0.5 53 -0 N N + 0 53 0x10C152382D7366p-51 53 -0 53 -0.5 53 +0 N N + 0 53 0x10C152382D7366p-52 53 -0 53 +0.5 53 +0 N N + 0 53 0x10C152382D7366p-52 53 +0 53 +0.5 53 -0 N N 0 0 53 +0 53 -0 53 +1 53 +0 N N 0 0 53 +0 53 +0 53 +1 53 -0 N N 0 - 53 +0 53 -0x15124271980435p-52 53 +2 53 +0 N N 0 + 53 +0 53 0x15124271980435p-52 53 +2 53 -0 N N 0 - 53 +0 53 -0x13D2B7539DBA4Cp-51 53 +6 53 +0 N N 0 + 53 +0 53 0x13D2B7539DBA4Cp-51 53 +6 53 -0 N N # pure imaginary argument - + 53 0x1921FB54442D18p-52 53 0x1D185B507EDC0Ep-52 53 -0 53 -3 N N - + 53 0x1921FB54442D18p-52 53 0x1D185B507EDC0Ep-52 53 +0 53 -3 N N - + 53 0x1921FB54442D18p-52 53 0x1FACFB2399E637p-55 53 -0 53 -.25 N N - + 53 0x1921FB54442D18p-52 53 0x1FACFB2399E637p-55 53 +0 53 -.25 N N - - 53 0x1921FB54442D18p-52 53 -0x1FACFB2399E637p-55 53 -0 53 +.25 N N - - 53 0x1921FB54442D18p-52 53 -0x1FACFB2399E637p-55 53 +0 53 +.25 N N - - 53 0x1921FB54442D18p-52 53 -0x1D185B507EDC0Ep-52 53 -0 53 +3 N N - - 53 0x1921FB54442D18p-52 53 -0x1D185B507EDC0Ep-52 53 +0 53 +3 N N # regular argument for various precisions - + 2 0.5 2 -1 2 2 2 1 N Z + + 9 0x5Dp-6 9 0x9Fp-5 9 8.5 9 -71 N U + + 2 0x3p-9 2 1.5 2 2 2 -0x1p-7 U N + - 53 0x74C141310E695p-53 53 -0x1D6D2CFA9F3F11p-52 53 0x3243F6A8885A3p-48 53 0x162E42FEFA39EFp-53 N N mpc-1.3.1/tests/fr_div.dat0000644000175100017460000004143012426164730012336 00000000000000# Data file for mpc_fr_div. # # Copyright (C) 2008, 2009 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add.dat, and take into # account the necessary modifications for one real argument. # special values 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -1 7 -inf N N 0 0 7 +inf 7 -inf 7 -inf 7 -1 7 -1 N N 0 0 7 +inf 7 nan 7 -inf 7 -1 7 -0 N N 0 0 7 +inf 7 nan 7 -inf 7 -1 7 +0 N N 0 0 7 +inf 7 +inf 7 -inf 7 -1 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -1 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -0 7 -inf N N 0 0 7 nan 7 -inf 7 -inf 7 -0 7 -1 N N 0 0 7 +inf 7 nan 7 -inf 7 -0 7 -0 N N 0 0 7 +inf 7 nan 7 -inf 7 -0 7 +0 N N 0 0 7 nan 7 +inf 7 -inf 7 -0 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -0 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 +0 7 -inf N N 0 0 7 nan 7 -inf 7 -inf 7 +0 7 -1 N N 0 0 7 -inf 7 nan 7 -inf 7 +0 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 +0 7 +0 N N 0 0 7 nan 7 +inf 7 -inf 7 +0 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 +0 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 1 7 -inf N N 0 0 7 -inf 7 -inf 7 -inf 7 1 7 -1 N N 0 0 7 -inf 7 nan 7 -inf 7 1 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 1 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 1 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 nan N N 0 0 7 +0 7 -0 7 -1 7 -inf 7 -inf N N 0 0 7 +0 7 -0 7 -1 7 -inf 7 -1 N N 0 0 7 +0 7 -0 7 -1 7 -inf 7 -0 N N 0 0 7 +0 7 +0 7 -1 7 -inf 7 +0 N N 0 0 7 +0 7 +0 7 -1 7 -inf 7 1 N N 0 0 7 +0 7 +0 7 -1 7 -inf 7 +inf N N 0 0 7 +0 7 +0 7 -1 7 -inf 7 nan N N 0 0 7 +0 7 -0 7 -1 7 -1 7 -inf N N 0 0 7 +0 7 +0 7 -1 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -1 7 nan N N 0 0 7 +0 7 -0 7 -1 7 -0 7 -inf N N 0 0 7 +0 7 +0 7 -1 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -0 7 nan N N 0 0 7 -0 7 -0 7 -1 7 +0 7 -inf N N 0 0 7 +0 7 +0 7 -1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 +0 7 nan N N 0 0 7 -0 7 -0 7 -1 7 1 7 -inf N N 0 0 7 +0 7 +0 7 -1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 1 7 nan N N 0 0 7 -0 7 -0 7 -1 7 +inf 7 -inf N N 0 0 7 -0 7 +0 7 -1 7 +inf 7 -1 N N 0 0 7 -0 7 +0 7 -1 7 +inf 7 -0 N N 0 0 7 -0 7 +0 7 -1 7 +inf 7 +0 N N 0 0 7 -0 7 +0 7 -1 7 +inf 7 1 N N 0 0 7 -0 7 +0 7 -1 7 +inf 7 +inf N N 0 0 7 -0 7 +0 7 -1 7 +inf 7 nan N N 0 0 7 -0 7 -0 7 -1 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 -1 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 -1 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 -1 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 -1 7 nan 7 1 N N 0 0 7 +0 7 +0 7 -1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 nan 7 nan N N 0 0 7 +0 7 -0 7 -0 7 -inf 7 -inf N N 0 0 7 +0 7 -0 7 -0 7 -inf 7 -1 N N 0 0 7 +0 7 -0 7 -0 7 -inf 7 -0 N N 0 0 7 +0 7 +0 7 -0 7 -inf 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 -inf 7 1 N N 0 0 7 +0 7 +0 7 -0 7 -inf 7 +inf N N 0 0 7 +0 7 +0 7 -0 7 -inf 7 nan N N 0 0 7 +0 7 -0 7 -0 7 -1 7 -inf N N 0 0 7 +0 7 +0 7 -0 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -1 7 nan N N 0 0 7 +0 7 -0 7 -0 7 -0 7 -inf N N 0 0 7 +0 7 +0 7 -0 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -0 7 nan N N 0 0 7 -0 7 +0 7 -0 7 +0 7 -inf N N 0 0 7 +0 7 +0 7 -0 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 +0 7 nan N N 0 0 7 -0 7 +0 7 -0 7 1 7 -inf N N 0 0 7 +0 7 +0 7 -0 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 1 7 nan N N 0 0 7 -0 7 +0 7 -0 7 +inf 7 -inf N N 0 0 7 -0 7 +0 7 -0 7 +inf 7 -1 N N 0 0 7 -0 7 +0 7 -0 7 +inf 7 -0 N N 0 0 7 +0 7 +0 7 -0 7 +inf 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 +inf 7 1 N N 0 0 7 +0 7 +0 7 -0 7 +inf 7 +inf N N 0 0 7 +0 7 +0 7 -0 7 +inf 7 nan N N 0 0 7 -0 7 +0 7 -0 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 -0 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 -0 7 nan 7 1 N N 0 0 7 +0 7 +0 7 -0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 nan 7 nan N N 0 0 7 -0 7 +0 7 +0 7 -inf 7 -inf N N 0 0 7 -0 7 +0 7 +0 7 -inf 7 -1 N N 0 0 7 -0 7 +0 7 +0 7 -inf 7 -0 N N 0 0 7 +0 7 -0 7 +0 7 -inf 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 -inf 7 1 N N 0 0 7 +0 7 -0 7 +0 7 -inf 7 +inf N N 0 0 7 +0 7 -0 7 +0 7 -inf 7 nan N N 0 0 7 -0 7 +0 7 +0 7 -1 7 -inf N N 0 0 7 +0 7 -0 7 +0 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -1 7 nan N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -inf N N 0 0 7 +0 7 -0 7 +0 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -0 7 nan N N 0 0 7 +0 7 +0 7 +0 7 +0 7 -inf N N 0 0 7 +0 7 +0 7 +0 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 +0 7 nan N N 0 0 7 +0 7 +0 7 +0 7 1 7 -inf N N 0 0 7 +0 7 +0 7 +0 7 1 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 1 7 nan N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 -inf N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 +0 N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 1 N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 +inf N N 0 0 7 +0 7 +0 7 +0 7 +inf 7 nan N N 0 0 7 +0 7 +0 7 +0 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 +0 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 +0 7 nan 7 1 N N 0 0 7 +0 7 +0 7 +0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 nan 7 nan N N 0 0 7 -0 7 +0 7 1 7 -inf 7 -inf N N 0 0 7 -0 7 +0 7 1 7 -inf 7 -1 N N 0 0 7 -0 7 +0 7 1 7 -inf 7 -0 N N 0 0 7 -0 7 -0 7 1 7 -inf 7 +0 N N 0 0 7 -0 7 -0 7 1 7 -inf 7 1 N N 0 0 7 -0 7 -0 7 1 7 -inf 7 +inf N N 0 0 7 -0 7 -0 7 1 7 -inf 7 nan N N 0 0 7 -0 7 +0 7 1 7 -1 7 -inf N N 0 0 7 +0 7 -0 7 1 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -1 7 nan N N 0 0 7 -0 7 +0 7 1 7 -0 7 -inf N N 0 0 7 +0 7 -0 7 1 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -0 7 nan N N 0 0 7 +0 7 +0 7 1 7 +0 7 -inf N N 0 0 7 +0 7 -0 7 1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 1 7 +0 7 nan N N 0 0 7 +0 7 +0 7 1 7 1 7 -inf N N 0 0 7 +0 7 -0 7 1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 1 7 1 7 nan N N 0 0 7 +0 7 +0 7 1 7 +inf 7 -inf N N 0 0 7 +0 7 +0 7 1 7 +inf 7 -1 N N 0 0 7 +0 7 +0 7 1 7 +inf 7 -0 N N 0 0 7 +0 7 +0 7 1 7 +inf 7 +0 N N 0 0 7 +0 7 +0 7 1 7 +inf 7 1 N N 0 0 7 +0 7 -0 7 1 7 +inf 7 +inf N N 0 0 7 +0 7 +0 7 1 7 +inf 7 nan N N 0 0 7 +0 7 +0 7 1 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 1 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 1 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 1 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 1 7 nan 7 1 N N 0 0 7 +0 7 -0 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 1 7 nan 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 +0 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 -1 7 -inf N N 0 0 7 -inf 7 +inf 7 +inf 7 -1 7 -1 N N 0 0 7 -inf 7 nan 7 +inf 7 -1 7 -0 N N 0 0 7 -inf 7 nan 7 +inf 7 -1 7 +0 N N 0 0 7 -inf 7 -inf 7 +inf 7 -1 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -1 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 -0 7 -inf N N 0 0 7 nan 7 +inf 7 +inf 7 -0 7 -1 N N 0 0 7 -inf 7 nan 7 +inf 7 -0 7 -0 N N 0 0 7 -inf 7 nan 7 +inf 7 -0 7 +0 N N 0 0 7 nan 7 -inf 7 +inf 7 -0 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -0 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 +0 7 -inf N N 0 0 7 nan 7 +inf 7 +inf 7 +0 7 -1 N N 0 0 7 +inf 7 nan 7 +inf 7 +0 7 -0 N N 0 0 7 +inf 7 nan 7 +inf 7 +0 7 +0 N N 0 0 7 nan 7 -inf 7 +inf 7 +0 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +0 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 1 7 -inf N N 0 0 7 +inf 7 +inf 7 +inf 7 1 7 -1 N N 0 0 7 +inf 7 nan 7 +inf 7 1 7 -0 N N 0 0 7 +inf 7 nan 7 +inf 7 1 7 +0 N N 0 0 7 +inf 7 -inf 7 +inf 7 1 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 1 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 nan N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 -1 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 -1 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 -1 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 -1 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 -1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 -0 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +0 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 1 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan N N # finite values 0 0 7 0.5 7 -0.5 7 -1 7 -1 7 -1 N N 0 0 7 1 7 -0 7 -1 7 -1 7 -0 N N # cf line 2206 of div.dat, revision 658: 0 0 7 1 7 +0 7 -1 7 -1 7 +0 N N 0 0 7 0.5 7 0.5 7 -1 7 -1 7 1 N N # cf line 2208 of div.dat, revision 658: 0 0 7 +0 7 -1 7 -1 7 -0 7 -1 N N 0 0 7 +inf 7 nan 7 -1 7 -0 7 -0 N N 0 0 7 +inf 7 nan 7 -1 7 -0 7 +0 N N 0 0 7 +0 7 1 7 -1 7 -0 7 1 N N 0 0 7 -0 7 -1 7 -1 7 +0 7 -1 N N 0 0 7 -inf 7 nan 7 -1 7 +0 7 -0 N N 0 0 7 -inf 7 nan 7 -1 7 +0 7 +0 N N 0 0 7 +0 7 1 7 -1 7 +0 7 1 N N 0 0 7 -0.5 7 -0.5 7 -1 7 1 7 -1 N N 0 0 7 -1 7 +0 7 -1 7 1 7 -0 N N 0 0 7 -1 7 +0 7 -1 7 1 7 +0 N N 0 0 7 -0.5 7 0.5 7 -1 7 1 7 1 N N 0 0 7 0 7 -0 7 -0 7 -1 7 -1 N N 0 0 7 +0 7 -0 7 -0 7 -1 7 -0 N N # cf line 2270 of div.dat, revision 658: 0 0 7 +0 7 +0 7 -0 7 -1 7 +0 N N 0 0 7 +0 7 0 7 -0 7 -1 7 1 N N # cf line 2272 of div.dat, revision 658: 0 0 7 +0 7 -0 7 -0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 1 N N # cf line 2276 of div.dat, revision 658: 0 0 7 -0 7 +0 7 -0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 1 N N 0 0 7 -0 7 0 7 -0 7 1 7 -1 N N 0 0 7 -0 7 +0 7 -0 7 1 7 -0 N N # cf line 2282 of div.dat, revision 658: 0 0 7 +0 7 +0 7 -0 7 1 7 +0 N N 0 0 7 0 7 +0 7 -0 7 1 7 1 N N 0 0 7 -0 7 0 7 +0 7 -1 7 -1 N N # cf line 2333 of div.dat, revision 658: 0 0 7 -0 7 +0 7 +0 7 -1 7 -0 N N # cf line 2334 of div.dat, revision 658: 0 0 7 +0 7 -0 7 +0 7 -1 7 +0 N N 0 0 7 0 7 -0 7 +0 7 -1 7 1 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 1 N N # cf line 2340 of div.dat, revision 658: 0 0 7 +0 7 +0 7 +0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 +0 N N # cf line 2343 of div.dat, revision 658: 0 0 7 +0 7 +0 7 +0 7 +0 7 1 N N 0 0 7 0 7 +0 7 +0 7 1 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 1 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 1 7 +0 N N 0 0 7 +0 7 0 7 +0 7 1 7 1 N N 0 0 7 -0.5 7 0.5 7 1 7 -1 7 -1 N N # cf line 2397 of div.dat, revision 658: 0 0 7 -1 7 +0 7 1 7 -1 7 -0 N N 0 0 7 -1 7 -0 7 1 7 -1 7 +0 N N 0 0 7 -0.5 7 -0.5 7 1 7 -1 7 1 N N 0 0 7 -0 7 1 7 1 7 -0 7 -1 N N 0 0 7 -inf 7 nan 7 1 7 -0 7 -0 N N 0 0 7 -inf 7 nan 7 1 7 -0 7 +0 N N 0 0 7 +0 7 -1 7 1 7 -0 7 1 N N # cf line 2404 of div.dat, revision 658: 0 0 7 +0 7 1 7 1 7 +0 7 -1 N N 0 0 7 +inf 7 nan 7 1 7 +0 7 -0 N N 0 0 7 +inf 7 nan 7 1 7 +0 7 +0 N N 0 0 7 +0 7 -1 7 1 7 +0 7 1 N N 0 0 7 0.5 7 0.5 7 1 7 1 7 -1 N N 0 0 7 1 7 +0 7 1 7 1 7 -0 N N 0 0 7 1 7 +0 7 1 7 1 7 +0 N N 0 0 7 0.5 7 -0.5 7 1 7 1 7 1 N N mpc-1.3.1/tests/read_description.c0000644000175100017460000001735013227377425014070 00000000000000/* read_description.c -- read parameters from description file Copyright (C) 2012, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static size_t read_keyworddesc (mpc_datafile_context_t* datafile_context, char **buffer_ptr, size_t buffer_length); /* tuple to link name with the enum value */ typedef struct { const char * name; /* type name */ mpc_param_t val; /* type enum */ } param_typeval_t; /* available types for function description */ static const param_typeval_t sparam_typeval[]= { { "int" , NATIVE_INT }, { "unsigned long int" , NATIVE_UL }, { "unsigned long" , NATIVE_UL }, { "long int" , NATIVE_L }, { "long" , NATIVE_L }, { "double" , NATIVE_D }, { "long double" , NATIVE_LD }, { "double _Complex" , NATIVE_DC }, { "long double _Complex", NATIVE_LDC }, { "intmax_t" , NATIVE_IM }, { "uintmax_t" , NATIVE_UIM }, { "mpz_ptr" , GMP_Z }, { "mpz_srcptr" , GMP_Z }, { "mpq_ptr" , GMP_Q }, { "mpq_srcptr" , GMP_Q }, { "mpf_ptr" , GMP_F }, { "mpf_srcptr" , GMP_F }, { "mpfr_inex" , MPFR_INEX }, { "mpfr_ptr" , MPFR }, { "mpfr_srcptr" , MPFR }, { "mpfr_rnd_t" , MPFR_RND }, { "mpc_inex" , MPC_INEX }, { "mpc_ptr" , MPC }, { "mpc_srcptr" , MPC }, { "mpc_rnd_t" , MPC_RND }, { "mpcc_inex" , MPCC_INEX } }; /* read primitives */ static size_t read_keyworddesc (mpc_datafile_context_t* datafile_context, char **buffer_ptr, size_t buffer_length) { size_t pos; char *buffer; pos = 0; buffer = *buffer_ptr; while (datafile_context->nextchar != EOF && datafile_context->nextchar != '#' && datafile_context->nextchar != '\n') { if (pos + 1 > buffer_length) { if (buffer_length == 0) buffer_length = pos + 1; buffer = (char *) realloc (buffer, 2 * buffer_length); buffer_length *= 2; if (buffer == NULL) { printf ("Cannot allocate memory\n"); exit (1); } } buffer[pos++] = (char) datafile_context->nextchar; datafile_context->nextchar = getc (datafile_context->fd); } while (pos>0 && isspace(buffer[pos-1])) pos--; if (pos + 1 > buffer_length) { buffer = (char *) realloc (buffer, buffer_length + 1); buffer_length++; if (buffer == NULL) { printf ("Cannot allocate memory\n"); exit (1); } } buffer[pos] = '\0'; *buffer_ptr = buffer; return buffer_length; } /* return the enum associated to name */ static mpc_param_t description_findtype (const char *name) { mpc_param_t r = sparam_typeval[0].val; size_t s = 0; const size_t send = sizeof (sparam_typeval) / sizeof (param_typeval_t); while (s < send && strcmp (sparam_typeval[s].name, name) != 0) s++; if (s < send) r = sparam_typeval[s].val; else { printf ("Error: Unable to find the type '%s'\n",name); exit (1); } return r; } /* return the name associated to the enum */ const char* read_description_findname (mpc_param_t e) { const char * name = NULL; size_t s = 0; const size_t send = sizeof (sparam_typeval) / sizeof (param_typeval_t); while (s < send && sparam_typeval[s].val != e) s++; if (sname = namestr; namestr = NULL; /* read RETURN fields */ tpl_skip_whitespace_comments (&datafile_context); len = 0; len = read_keyworddesc (&datafile_context, &buffer, len); if (buffer == NULL || strcmp (buffer,"RETURN:") != 0) { printf ("Error: Unable to read 'RETURN:' in file '%s'\n", pathname); exit (1); } tpl_skip_whitespace_comments (&datafile_context); len = read_keyworddesc (&datafile_context, &buffer, len); if (buffer == NULL) { printf ("Error: Unable to read the return type of the function" " in file '%s'\n", pathname); exit (1); } param->T[nbout++] = description_findtype (buffer); /* read OUPUT fields */ tpl_skip_whitespace_comments (&datafile_context); len = read_keyworddesc (&datafile_context, &buffer, len); if (buffer == NULL || strcmp (buffer,"OUTPUT:")!=0) { printf ("Error: Unable to read 'OUTPUT:' in file '%s'\n", pathname); exit (1); } while (!feof (datafile_context.fd)) { tpl_skip_whitespace_comments (&datafile_context); len = read_keyworddesc (&datafile_context, &buffer, len); if (buffer == NULL) { printf ("Error: Unable to read the output type of the function" " in file '%s'\n", pathname); exit (1); } if (strcmp (buffer, "INPUT:") == 0) break; /* exit the output loop */ param->T[nbout++] = description_findtype (buffer); } /* read INPUT fields */ while (!feof (datafile_context.fd)) { tpl_skip_whitespace_comments (&datafile_context); len = read_keyworddesc (&datafile_context, &buffer, len); if (buffer == NULL) { printf ("Error: Unable to read the input type of the function" " in file '%s'\n", pathname); exit (1); } if (strlen (buffer) == 0 && feof (datafile_context.fd)) break; param->T[nbout+nbin] = description_findtype (buffer); if (param->T[nbout+nbin] == MPC_RND || param->T[nbout+nbin] == MPFR_RND) rnd_mode++; nbin++; } free (buffer); param->nbout = nbout; param->nbin = nbin; param->nbrnd = rnd_mode; /* duplicate output parameters at the end for the expected values */ for (j = 0; j < param->nbout; j++) { MPC_ASSERT (nbout + nbin + j < PARAMETER_ARRAY_SIZE); param->T[nbout + nbin + j] = param->T[j]; } close_datafile(&datafile_context); } mpc-1.3.1/tests/sqrt.dsc0000644000175100017460000000155013227377425012065 00000000000000# Description file for mpc_sqrt # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_sqrt RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/norm.dat0000644000175100017460000001600413227377425012046 00000000000000# Data file for mpc_norm. # # Copyright (C) 2008, 2010, 2011 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see abs.dat. # special values 0 7 +inf 7 -inf 7 -inf N 0 7 +inf 7 -inf 7 -1 N 0 7 +inf 7 -inf 7 -0 N 0 7 +inf 7 -inf 7 +0 N 0 7 +inf 7 -inf 7 1 N 0 7 +inf 7 -inf 7 +inf N 0 7 +inf 7 -inf 7 nan N 0 7 +inf 7 -1 7 -inf N 0 7 +inf 7 -1 7 +inf N 0 7 nan 7 -1 7 nan N 0 7 +inf 7 -0 7 -inf N 0 7 +inf 7 -0 7 +inf N 0 7 nan 7 -0 7 nan N 0 7 +inf 7 +0 7 -inf N 0 7 +inf 7 +0 7 +inf N 0 7 nan 7 +0 7 nan N 0 7 +inf 7 1 7 -inf N 0 7 +inf 7 1 7 +inf N 0 7 nan 7 1 7 nan N 0 7 +inf 7 +inf 7 -inf N 0 7 +inf 7 +inf 7 -1 N 0 7 +inf 7 +inf 7 -0 N 0 7 +inf 7 +inf 7 +0 N 0 7 +inf 7 +inf 7 1 N 0 7 +inf 7 +inf 7 +inf N 0 7 +inf 7 +inf 7 nan N 0 7 +inf 7 nan 7 -inf N 0 7 nan 7 nan 7 -1 N 0 7 nan 7 nan 7 -0 N 0 7 nan 7 nan 7 +0 N 0 7 nan 7 nan 7 1 N 0 7 +inf 7 nan 7 +inf N 0 7 nan 7 nan 7 nan N # values with only 1, -1, +0, -0 0 7 2 7 -1 7 -1 N 0 7 1 7 -1 7 -0 N 0 7 1 7 -1 7 +0 N 0 7 2 7 -1 7 1 N 0 7 1 7 -0 7 -1 N 0 7 +0 7 -0 7 -0 N 0 7 +0 7 -0 7 +0 N 0 7 1 7 -0 7 1 N 0 7 1 7 +0 7 -1 N 0 7 +0 7 +0 7 -0 N 0 7 +0 7 +0 7 +0 N 0 7 1 7 +0 7 1 N 0 7 2 7 1 7 -1 N 0 7 1 7 1 7 -0 N 0 7 1 7 1 7 +0 N 0 7 2 7 1 7 1 N # overflow + 53 +inf 2 0x1p536870912 2 0x1p536870912 U # infinite loop reported by E. Thome - 250 +0 250 -0xf.fdda3457c3e69e5841461d505b42987feb42867a4a2d2872179c4efa20054c0@-136943039 250 -0xc.670d1beda685fdd771b6246e32ff49ec4fd70aec25367444e00933e6965d3c0@-136943040 N # inexact values: norm (2+i)=5, in the middle between two values at precision 2 - 2 4 2 2 2 1 D - 2 4 2 2 2 1 Z + 2 6 2 2 2 1 U - 2 4 2 2 2 1 N # over- and underflows + 10 inf 10 0 10 0b1@536870912 N + 10 inf 10 0 10 0b1@536870912 U - 10 0b1.111111111@1073741820 10 0 10 0b1@536870912 D - 10 0b1.111111111@1073741820 10 0 10 0b1@536870912 Z - 10 0 10 0 10 0b1@-536870913 N - 10 0 10 0 10 0b1@-536870913 D - 10 0 10 0 10 0b1@-536870913 Z + 10 0b1.000000000e-1073741822 10 0 10 0b1@-536870913 U + 10 inf 10 0b1@536870912 10 0 N + 10 inf 10 0b1@536870912 10 0 U - 10 0b1.111111111@1073741820 10 0b1@536870912 10 0 D - 10 0b1.111111111@1073741820 10 0b1@536870912 10 0 Z - 10 0 10 0b1@-536870913 10 0 N - 10 0 10 0b1@-536870913 10 0 D - 10 0 10 0b1@-536870913 10 0 Z + 10 0b1.000000000e-1073741822 10 0b1@-536870913 10 0 U + 10 inf 10 1 10 0b1@536870912 N + 10 inf 10 1 10 0b1@536870912 U - 10 0b1.111111111@1073741820 10 1 10 0b1@536870912 D - 10 0b1.111111111@1073741820 10 1 10 0b1@536870912 Z - 10 1 10 1 10 0b1@-536870913 N - 10 1 10 1 10 0b1@-536870913 D - 10 1 10 1 10 0b1@-536870913 Z + 10 0b1.000000001 10 1 10 0b1@-536870913 U + 10 inf 10 0b1@536870912 10 1 N + 10 inf 10 0b1@536870912 10 1 U - 10 0b1.111111111@1073741820 10 0b1@536870912 10 1 D - 10 0b1.111111111@1073741820 10 0b1@536870912 10 1 Z - 10 1 10 0b1@-536870913 10 1 N - 10 1 10 0b1@-536870913 10 1 D - 10 1 10 0b1@-536870913 10 1 Z + 10 0b1.000000001 10 0b1@-536870913 10 1 U + 3 inf 10 0b1.1 10 0b1@536870912 N + 3 inf 10 0b1.1 10 0b1@536870912 U - 3 0b1.11@1073741820 10 0b1.1 10 0b1@536870912 D - 3 0b1.11@1073741820 10 0b1.1 10 0b1@536870912 Z + 3 2.5 10 0b1.1 10 0b1@-536870913 N - 3 2 10 0b1.1 10 0b1@-536870913 D - 3 2 10 0b1.1 10 0b1@-536870913 Z + 3 0b1.01@1 10 0b1.1 10 0b1@-536870913 U + 3 inf 10 0b1@536870912 10 0b1.1 N + 3 inf 10 0b1@536870912 10 0b1.1 U - 3 0b1.11@1073741820 10 0b1@536870912 10 0b1.1 D - 3 0b1.11@1073741820 10 0b1@536870912 10 0b1.1 Z + 3 2.5 10 0b1@-536870913 10 0b1.1 N - 3 2 10 0b1@-536870913 10 0b1.1 D - 3 2 10 0b1@-536870913 10 0b1.1 Z + 3 0b1.01@1 10 0b1@-536870913 10 0b1.1 U + 10 inf 10 0b1@-536870913 10 0b1@536870912 N + 10 inf 10 0b1@-536870913 10 0b1@536870912 U - 10 0b1.111111111@1073741820 10 0b1@-536870913 10 0b1@536870912 D - 10 0b1.111111111@1073741820 10 0b1@-536870912 10 0b1@536870912 Z + 10 inf 10 0b1@536870912 10 0b1@-536870913 N + 10 inf 10 0b1@536870912 10 0b1@-536870913 U - 10 0b1.111111111@1073741820 10 0b1@536870912 10 0b1@-536870913 D - 10 0b1.111111111@1073741820 10 0b1@536870912 10 0b1@-536870913 Z + 10 inf 10 0b1@536870912 10 0b1@536870912 N + 10 inf 10 0b1@536870912 10 0b1@536870912 U - 10 0b1.111111111@1073741820 10 0b1@536870912 10 0b1@536870912 D - 10 0b1.111111111@1073741820 10 0b1@536870912 10 0b1@536870912 Z - 10 0 10 0b1@-536870913 10 0b1@-536870913 N - 10 0 10 0b1@-536870913 10 0b1@-536870913 D - 10 0 10 0b1@-536870913 10 0b1@-536870913 Z + 10 0b1@-1073741822 10 0b1@-536870913 10 0b1@-536870913 U 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870906 2 0b1.1@-536870913 N 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870913 2 0b1.1@-536870906 N 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870906 2 0b1.1@-536870913 Z 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870913 2 0b1.1@-536870906 Z 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870906 2 0b1.1@-536870913 D 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870913 2 0b1.1@-536870906 D 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870906 2 0b1.1@-536870913 U 0 18 0b1.00100000000001001@-1073741811 2 0b1.1@-536870913 2 0b1.1@-536870906 U mpc-1.3.1/tests/tpow_z.c0000644000175100017460000000316613227377425012074 00000000000000/* tpow_z -- test file for mpc_pow_z. Copyright (C) 2009, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for CHAR_BIT */ #include "mpc-tests.h" static void test_large (void) { mpc_t z; mpz_t t; mpc_init2 (z, 5); mpz_init_set_ui (t, 1ul); mpz_set_ui (t, 1ul); mpz_mul_2exp (t, t, sizeof (long) * CHAR_BIT); mpc_set_ui_ui (z, 0ul, 1ul, MPC_RNDNN); mpc_pow_z (z, z, t, MPC_RNDNN); if (mpc_cmp_si_si (z, 1l, 0l) != 0) { printf ("Error for mpc_pow_z (4*large)\n"); exit (1); } mpc_clear (z); mpz_clear (t); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_pow_z (P[1].mpc, P[2].mpc, P[3].mpz, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_pow_z (P[1].mpc, P[1].mpc, P[3].mpz, P[4].mpc_rnd) #include "data_check.tpl" int main (void) { test_start (); data_check_template ("pow_z.dsc", "pow_z.dat"); test_large (); test_end (); return 0; } mpc-1.3.1/tests/trootofunity.c0000644000175100017460000000425713227377425013341 00000000000000/* trootofunity -- test file for mpc_rootofunity. Copyright (C) 2012, 2016 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_rootofunity (P[1].mpc, P[2].ui, P[3].ui, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" static void check (unsigned long int n) /* checks whether zeta_n^n = 1, which is somewhat dangerous in floating point */ { mpc_t z, zero; mpfr_prec_t prec; mpc_init2 (z, 2); mpc_init2 (zero, 2); for (prec = 2*n; prec < 1000; prec = (mpfr_prec_t) (prec * 1.1 + 1)) { mpc_set_prec (z, prec); mpc_set_prec (zero, prec); mpc_rootofunity (z, n, 1, MPC_RNDNN); mpc_pow_ui (zero, z, n, MPC_RNDNN); mpc_sub_ui (zero, zero, 1u, MPC_RNDNN); if (MPC_MAX (mpfr_get_exp (mpc_realref (zero)), mpfr_get_exp (mpc_imagref (zero))) > - ((long int) prec - (long int) n)) { fprintf (stderr, "rootofunity too imprecise for n=%lu\n", n); MPC_OUT (z); MPC_OUT (zero); exit (1); } } mpc_clear (z); mpc_clear (zero); } int main (void) { unsigned long int n; for (n = 1; n < 10000; n += 10) check (n); test_start (); data_check_template ("rootofunity.dsc", "rootofunity.dat"); /* Avoid checking roots of unity of high order at very low precision, so start only at 20. */ tgeneric_template ("rootofunity.dsc", 20, 512, 7, 256); test_end (); return 0; } mpc-1.3.1/tests/add.dat0000644000175100017460000001310314200505250011575 00000000000000# Data file for mpc_add. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM RND_RE RND_IM # # where op1 = op1_re + i * op1_im, op2 = op2_re + i * op2_im, rop = rop_re + i * rop_im, # The data are read from the file and stored in variables op1, op2, rop using # rounding to nearest when needed, for instance: rop_re is ROP_RE rounded to # nearest to the precision of PREC_ROP_RE. # ROP_RE is checked against Re(op1 + op2) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(op1 + op2) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 0 53 -inf 53 -inf 53 -inf 53 -inf 53 -inf 53 -inf N Z 0 0 53 -inf 53 nan 53 -inf 53 +inf 53 +1 53 -inf Z U 0 0 53 +inf 53 -inf 53 +inf 53 -inf 53 +inf 53 +0 U D 0 0 53 +inf 53 +inf 53 +inf 53 +inf 53 -0 53 -1 D N 0 0 53 -inf 53 -inf 53 -inf 53 -inf 53 -0 53 -1 N U 0 0 53 nan 53 nan 53 -inf 53 +inf 53 +inf 53 nan Z D # check this is true in ISO C99 0 0 53 nan 53 -inf 53 +inf 53 -inf 53 nan 53 -1 U N 0 0 53 +inf 53 nan 53 +inf 53 +inf 53 -0 53 nan D Z 0 0 53 nan 53 nan 53 -inf 53 -inf 53 nan 53 nan N D 0 0 53 +inf 53 -inf 53 -1 53 -inf 53 +inf 53 -1 N D 0 0 53 nan 53 +1 53 -inf 53 +1 53 +inf 53 -0 Z N 0 0 53 +1 53 -inf 53 +1 53 -inf 53 -0 53 +1 U Z 0 0 53 +inf 53 +1 53 +inf 53 +1 53 -0 53 -0 D U 0 0 53 +inf 53 nan 53 -1 53 -inf 53 +inf 53 nan N N 0 0 53 nan 53 +2 53 -inf 53 +1 53 nan 53 +1 Z Z 0 0 53 +1 53 nan 53 +1 53 -inf 53 -0 53 nan U U # check this 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 nan D D 0 0 53 -0 53 nan 53 -0 53 -inf 53 +0 53 +inf D D 0 0 53 -inf 53 +0 53 -inf 53 +0 53 +1 53 -0 N Z 0 0 53 +0 53 -inf 53 +0 53 -inf 53 -0 53 -0 Z U 0 0 53 nan 53 nan 53 +inf 53 +0 53 -inf 53 nan U D # check 0 0 53 nan 53 -inf 53 -0 53 -inf 53 nan 53 -1 D N 0 0 53 -inf 53 nan 53 -inf 53 +0 53 +0 53 nan N U 0 0 53 nan 53 nan 53 +0 53 -inf 53 nan 53 nan Z D 0 0 53 +0 53 -0 53 +0 53 +1 53 -0 53 -1 Z D 0 0 53 -1 53 -0 53 -1 53 -0 53 +0 53 -0 U N 0 0 53 nan 53 +inf 53 -0 53 +1 53 nan 53 +inf D Z 0 0 53 +0 53 nan 53 +1 53 -0 53 -1 53 nan N D 0 0 53 nan 53 +1 53 +0 53 +1 53 nan 53 -0 Z N 0 0 53 nan 53 nan 53 -1 53 -0 53 nan 53 nan U Z 0 0 53 +0 53 +0 53 -0 53 +0 53 +0 53 -0 U Z 0 0 53 nan 53 -inf 53 +0 53 -0 53 nan 53 -inf D U 0 0 53 -1 53 nan 53 +0 53 +0 53 -1 53 nan N N 0 0 53 nan 53 -0 53 -0 53 -0 53 nan 53 -0 Z Z 0 0 53 nan 53 nan 53 -0 53 +0 53 nan 53 nan U U 0 0 53 nan 53 nan 53 nan 53 -inf 53 nan 53 +inf U U # check 0 0 53 +inf 53 nan 53 +inf 53 nan 53 -1 53 nan D D 0 0 53 nan 53 -inf 53 nan 53 -inf 53 nan 53 -0 N Z 0 0 53 nan 53 nan 53 -inf 53 nan 53 nan 53 nan Z U # check 0 0 53 nan 53 nan 53 +1 53 nan 53 nan 53 -1 Z U 0 0 53 nan 53 nan 53 nan 53 +1 53 -0 53 nan U D 0 0 53 nan 53 nan 53 -1 53 nan 53 nan 53 nan D N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 nan D N 0 0 53 nan 53 nan 53 +0 53 nan 53 nan 53 nan N U 0 0 53 nan 53 nan 53 nan 53 nan 53 nan 53 nan N U # pure real argument + 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 N N - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 Z Z + 0 53 0x10000000000001p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 U U - 0 53 0x10000000000000p-52 53 -0 53 +1 53 -0 53 0x10000000000001p-105 53 -0 D D # pure imaginary argument 0 + 53 -0 53 0x10000000000001p-52 53 -0 53 0x10000000000001p-105 53 -0 53 +1 N N 0 - 53 +0 53 0x10000000000000p-52 53 +0 53 0x10000000000001p-105 53 -0 53 +1 Z Z 0 + 53 +0 53 0x10000000000001p-52 53 +0 53 0x10000000000001p-105 53 -0 53 +1 U U 0 - 53 -0 53 0x10000000000000p-52 53 -0 53 0x10000000000001p-105 53 -0 53 +1 D D mpc-1.3.1/tests/arg.dsc0000644000175100017460000000150613227377425011646 00000000000000# Description file for mpc_arg # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_arg RETURN: mpfr_inex OUTPUT: mpfr_ptr INPUT: mpc_srcptr mpfr_rnd_t mpc-1.3.1/tests/fma.dat0000644000175100017460000000456614345571363011647 00000000000000# Data file for mpc_fma. # # Copyright (C) 2008, 2010, 2012, 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM PREC_OP3_RE OP3_RE PREC_OP3_IM OP3_IM RND_RE RND_IM # # see sin.dat for precisions + - 53 -0x189281b52abc03p-55 53 0x178a1d3cd134e5p-49 53 0x16A09E667F3BCDp-52 53 0x9CC470A049097p-50 53 0x23C6EF372FE95p-48 53 0x9CC470A049097p-50 53 0xA953FD4E97C75p-50 53 0x16A09E667F3BCDp-51 N N + + 53 -0x178a1d3cd134e5p-49 53 -0x189281b52abc03p-55 53 -0x9CC470A049097p-50 53 0x16A09E667F3BCDp-52 53 0x23C6EF372FE95p-48 53 0x9CC470A049097p-50 53 -0x16A09E667F3BCDp-51 53 0xA953FD4E97C75p-50 N N + + 53 -0x178a1d3cd134e5p-49 53 -0x189281b52abc03p-55 53 -0x9CC470A049097p-50 53 0x16A09E667F3BCDp-52 53 0x23C6EF372FE95p-48 53 0x9CC470A049097p-50 53 -0x16A09E667F3BCDp-51 53 0xA953FD4E97C75p-50 U U 0 0 10 0 10 0 10 7 10 5 10 3 10 -12 10 -81 10 69 N N 0 0 10 0 10 0 10 7 10 5 10 3 10 -12 10 -81 10 69 Z D 0 0 2 1 2 1 7 99 7 98 7 97 7 96 7 -194 15 -19009 N N # Test that gave ternary value + - before release 1.3.0. + + 53 -0b1.1010101001101001100101110101100111110010001001111101e-15 53 -0b1.0010111010001110111110101010110111011111101110111101e198 53 0b1.1100111101000100011100110011110011001110111001110111e-187 53 0b1.0111010010101000100010011101011011010100110011101011e-150 53 -0b1.1101011101000100101010000100010000111100100111000000e171 53 0b1.1010000001011011001110000011110101101001001100001000e-49 53 -0b1.0101100110110000101001001011001111100001010010010100e-192 53 -0b1.0010111010001110111110101010110111011111101110111101e198 N N mpc-1.3.1/tests/sqrt.dat0000644000175100017460000002565414345571363012076 00000000000000# Data file for mpc_sqrt. # # Copyright (C) 2008, 2010, 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # see sin.dat for precisions # special values (following ISO C99 standard) 0 0 53 +inf 53 -inf 53 -inf 53 -inf N N 0 0 53 +0 53 -inf 53 -inf 53 -1 N N 0 0 53 +0 53 -inf 53 -inf 53 -0 N N 0 0 53 +0 53 +inf 53 -inf 53 +0 N N 0 0 53 +0 53 +inf 53 -inf 53 +1 N N 0 0 53 +inf 53 +inf 53 -inf 53 +inf N N 0 0 53 nan 53 inf 53 -inf 53 nan N N 0 0 53 +inf 53 -inf 53 -1 53 -inf N N 0 0 53 +0 53 -1 53 -1 53 -0 N N 0 0 53 +0 53 +1 53 -1 53 +0 N N 0 0 53 +inf 53 +inf 53 -1 53 +inf N N 0 0 53 nan 53 nan 53 -1 53 nan N N 0 0 53 +inf 53 -inf 53 -0 53 -inf N N 0 0 53 +1 53 -1 53 -0 53 -2 N N 0 0 53 +0 53 -0 53 -0 53 -0 N N 0 0 53 +0 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +1 53 -0 53 +2 N N 0 0 53 +inf 53 +inf 53 -0 53 +inf N N 0 0 53 nan 53 nan 53 -0 53 nan N N 0 0 53 +inf 53 -inf 53 +0 53 -inf N N 0 0 53 +1 53 -1 53 +0 53 -2 N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +1 53 +0 53 +2 N N 0 0 53 +inf 53 +inf 53 +0 53 +inf N N 0 0 53 nan 53 nan 53 +0 53 nan N N 0 0 53 +inf 53 -inf 53 +1 53 -inf N N 0 0 53 +1 53 -0 53 +1 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 +inf 53 +1 53 +inf N N 0 0 53 nan 53 nan 53 +1 53 nan N N 0 0 53 +inf 53 -inf 53 +inf 53 -inf N N 0 0 53 +inf 53 -0 53 +inf 53 -1 N N 0 0 53 +inf 53 -0 53 +inf 53 -0 N N 0 0 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 +inf 53 +inf 53 +inf N N 0 0 53 +inf 53 nan 53 +inf 53 nan N N 0 0 53 +inf 53 -inf 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 -0 N N 0 0 53 nan 53 nan 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 +inf 53 +inf 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # purely real argument # sqrt(x +i*0) = sqrt(x) +i*0, when x>0 # sqrt(x -i*0) = sqrt(x) -i*0, when x>0 # sqrt(x +i*0) = +0 +i*sqrt(-x) +i*0, when x<0 # sqrt(x -i*0) = +0 -i*sqrt(-x) +i*0, when x<0 + 0 53 0x16a09e667f3bcdp-52 53 +0 53 2 17 +0 N N 0 + 53 +0 53 0x16a09e667f3bcdp-52 54 -2 16 +0 Z N + 0 53 0x16a09e667f3bcdp-52 53 -0 55 2 15 -0 U N + 0 53 0x16a09e667f3bcdp-52 53 -0 55 2 15 -0 A N 0 - 53 +0 53 -0x16a09e667f3bcdp-52 56 -2 14 -0 D N - 0 53 0x5a827999fcef30p-54 53 +0 57 2 13 +0 Z Z 0 - 53 +0 53 0x5a827999fcef30p-54 58 -2 12 +0 U Z - 0 53 0x5a827999fcef30p-54 53 -0 59 2 11 -0 D Z 0 + 53 +0 53 -0x5a827999fcef30p-54 60 -2 10 -0 N Z + 0 53 0x16a09e667f3bcdp-52 53 +0 61 2 9 +0 U U + 0 53 0x16a09e667f3bcdp-52 53 +0 61 2 9 +0 A A 0 + 53 +0 53 0x16a09e667f3bcdp-52 62 -2 8 +0 D U 0 + 53 +0 53 0x16a09e667f3bcdp-52 62 -2 8 +0 A A + 0 53 0x16a09e667f3bcdp-52 53 -0 63 2 7 -0 N U + 0 53 0x16a09e667f3bcdp-52 53 -0 63 2 7 -0 N A 0 + 53 +0 53 -0x5a827999fcef30p-54 64 -2 6 -0 Z U - 0 53 0x5a827999fcef30p-54 53 +0 65 2 5 +0 D D 0 - 53 +0 53 0x5a827999fcef30p-54 66 -2 4 +0 N D - 0 53 0x5a827999fcef30p-54 53 -0 67 2 3 -0 Z D 0 - 53 +0 53 -0x16a09e667f3bcdp-52 68 -2 2 -0 U D 0 - 53 +0 53 -0x16a09e667f3bcdp-52 68 -2 2 -0 A A # purely imaginary argument # sqrt(+/-0 +i*y) = sqrt(y/2) * (1 +i), when y >0 # sqrt(+/-0 +i*y) = sqrt(-y/2) * (1 -i), when y < 0 + + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 53 +0 53 4 N N - + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 51 -0 54 4 Z N + - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 49 +0 55 -4 U N + - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 49 +0 55 -4 A N - - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 47 -0 56 -4 D N - - 53 0x5a827999fcef30p-54 53 0x5a827999fcef30p-54 45 +0 57 4 Z Z + - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 43 -0 58 4 U Z + - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 43 -0 58 4 A Z - + 53 0x5a827999fcef30p-54 53 -0x5a827999fcef30p-54 41 +0 59 -4 D Z + + 53 0x16a09e667f3bcdp-52 53 -0x5a827999fcef30p-54 39 -0 60 -4 N Z + + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 37 +0 61 4 U U + + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 37 +0 61 4 A A - + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 35 -0 62 4 D U - + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 35 -0 62 4 D A + + 53 0x16a09e667f3bcdp-52 53 -0x5a827999fcef30p-54 33 +0 63 -4 N U - + 53 0x5a827999fcef30p-54 53 -0x5a827999fcef30p-54 31 -0 64 -4 Z U - - 53 0x5a827999fcef30p-54 53 0x5a827999fcef30p-54 29 +0 65 4 D D + - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 27 -0 66 4 N D - - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 25 +0 67 -4 Z D - - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 25 +0 67 -4 Z A + - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 23 -0 68 -4 U D + - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 23 -0 68 -4 A A # z=(-1.95050937e+25,-2.65087379e-39) + - 24 0x7.2fb038p-164 24 -0x1.011258p32 24 -0x1.0225d4p64 24 -0xe.6ec760p-132 N N # z=(-1.89432151e+24,-1.06397210e+09) ? ? 24 0x0.001954c04p0 24 -0x1.407478p40 24 -0x1.912360p80 24 -0x3.f6aed0p28 N N # bugs fixed in r160 2008-07-15 - + 19 0b11101001001001001100p+39 19 -0b1010110101100111011p-236 19 0b1.101010001010100000p+117 19 -0b1.001110111101100001p-158 N Z - + 2 0b11p+100 2 -0b11p+100 2 -0 2 -0b11p+203 N Z 0 + 2 0 2 -0b10p+117 2 -0b11p+235 2 -0 N Z # close to infinite loop reported by Emmanuel Thome, 22 Oct 2010, # and all its variants of signs and directed roundings - + 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N + + 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U - - 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D - + 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D U - - 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z - - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N + + 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U - - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D - - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D A - + 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z + - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N + + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U + + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 A A - - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D - - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z + + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N + + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U + + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 A Z - - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 -0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z A - + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z mpc-1.3.1/tests/sqr.dat0000644000175100017460000002360413227377425011704 00000000000000# Data file for mpc_sqr. # # Copyright (C) 2008, 2010, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # see sin.dat for precisions # special values (following ISO C99 standard) 0 0 53 nan 53 +inf 53 -inf 53 -inf N N 0 0 53 +inf 53 +inf 53 -inf 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 N N 0 0 53 +inf 53 -inf 53 -inf 53 +1 N N 0 0 53 nan 53 -inf 53 -inf 53 +inf N N 0 0 53 nan 53 nan 53 -inf 53 nan N N 0 0 53 -inf 53 +inf 53 -1 53 -inf N N 0 0 53 +1 53 +0 53 -1 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 +0 N N 0 0 53 -inf 53 -inf 53 -1 53 +inf N N 0 0 53 nan 53 nan 53 -1 53 nan N N 0 0 53 -inf 53 nan 53 -0 53 -inf N N 0 0 53 -1 53 +0 53 -0 53 -1 N N 0 0 53 0 53 +0 53 -0 53 -0 N N 0 0 53 0 53 -0 53 -0 53 +0 N N 0 0 53 -1 53 -0 53 -0 53 +1 N N 0 0 53 -inf 53 nan 53 -0 53 +inf N N 0 0 53 nan 53 nan 53 -0 53 nan N N 0 0 53 -inf 53 nan 53 +0 53 -inf N N 0 0 53 -1 53 -0 53 +0 53 -1 N N 0 0 53 0 53 -0 53 +0 53 -0 N N 0 0 53 0 53 +0 53 +0 53 +0 N N 0 0 53 -1 53 +0 53 +0 53 +1 N N 0 0 53 -inf 53 nan 53 +0 53 +inf N N 0 0 53 nan 53 nan 53 +0 53 nan N N 0 0 53 -inf 53 -inf 53 +1 53 -inf N N 0 0 53 +1 53 -0 53 +1 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 N N 0 0 53 -inf 53 +inf 53 +1 53 +inf N N 0 0 53 nan 53 nan 53 +1 53 nan N N 0 0 53 nan 53 -inf 53 +inf 53 -inf N N 0 0 53 +inf 53 -inf 53 +inf 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 N N 0 0 53 +inf 53 +inf 53 +inf 53 +1 N N 0 0 53 nan 53 +inf 53 +inf 53 +inf N N 0 0 53 nan 53 nan 53 +inf 53 nan N N 0 0 53 nan 53 nan 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 -0 N N 0 0 53 nan 53 nan 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument + 0 53 0x12345676543230p+52 2 +0 53 0x1111111000000f 17 +0 N N - 0 53 0x1234567654322fp+52 3 -0 54 -0x1111111000000f 16 +0 Z N + 0 53 0x12345676543230p+52 4 -0 55 0x1111111000000f 15 -0 U N - 0 53 0x1234567654322fp+52 5 +0 56 -0x1111111000000f 14 -0 D N - 0 53 0x1234567654322fp+52 6 +0 57 0x1111111000000f 13 +0 Z Z + 0 53 0x12345676543230p+52 7 -0 58 -0x1111111000000f 12 +0 U Z - 0 53 0x1234567654322fp+52 8 -0 59 0x1111111000000f 11 -0 D Z + 0 53 0x12345676543230p+52 9 +0 60 -0x1111111000000f 10 -0 N Z + 0 53 0x12345676543230p+52 10 +0 61 0x1111111000000f 9 +0 U U - 0 53 0x1234567654322fp+52 11 -0 62 -0x1111111000000f 8 +0 D U + 0 53 0x12345676543230p+52 12 -0 63 0x1111111000000f 7 -0 N U - 0 53 0x1234567654322fp+52 13 +0 64 -0x1111111000000f 6 -0 Z U - 0 53 0x1234567654322fp+52 14 +0 65 0x1111111000000f 5 +0 D D + 0 53 0x12345676543230p+52 15 -0 66 -0x1111111000000f 4 +0 N D - 0 53 0x1234567654322fp+52 16 -0 67 0x1111111000000f 3 -0 Z D + 0 53 0x12345676543230p+52 17 +0 68 -0x1111111000000f 2 -0 U D # pure imaginary argument - 0 53 -0xE1000002000000p+56 53 +0 53 +0 53 0xf0000001111111 N N + 0 53 -0xe1000001fffff8p+56 52 -0 51 -0 54 0xf0000001111111 Z N + 0 53 -0xe1000001fffff8p+56 51 -0 49 +0 55 -0xf0000001111111 U N - 0 53 -0xe1000002000000p+56 50 +0 47 -0 56 -0xf0000001111111 D N + 0 53 -0xe1000001fffff8p+56 49 +0 45 +0 57 0xf0000001111111 Z Z + 0 53 -0xe1000001fffff8p+56 48 -0 43 -0 58 0xf0000001111111 U Z - 0 53 -0xe1000002000000p+56 47 -0 41 +0 59 -0xf0000001111111 D Z - 0 53 -0xe1000002000000p+56 46 +0 39 -0 60 -0xf0000001111111 N Z + 0 53 -0xe1000001fffff8p+56 45 +0 37 +0 61 0xf0000001111111 U U - 0 53 -0xe1000002000000p+56 44 -0 35 -0 62 0xf0000001111111 D U - 0 53 -0xe1000002000000p+56 43 -0 33 +0 63 -0xf0000001111111 N U + 0 53 -0xe1000001fffff8p+56 42 +0 31 -0 64 -0xf0000001111111 Z U - 0 53 -0xe1000002000000p+56 41 +0 29 +0 65 0xf0000001111111 D D - 0 53 -0xe1000002000000p+56 40 -0 27 -0 66 0xf0000001111111 N D + 0 53 -0xe1000001fffff8p+56 39 -0 25 +0 67 -0xf0000001111111 Z D + 0 53 -0xe1000001fffff8p+56 38 +0 23 -0 68 -0xf0000001111111 U D # IEEE-754 double precision - + 53 0x10000000020000p+04 53 0x10000000effff 53 0x400008000180fp-22 53 0x7ffff0077efcbp-32 N N - - 53 0x3ffffffffffffd 53 0x7ffffffffffff4p+52 53 0x1fffffffffffff 53 0x1ffffffffffffe Z N + + 53 0x1c16e5d4c4d5e7p-45 53 -0x7ffffff800007p-47 53 0xf 53 -0x1111111000000fp-53 U N - + 53 0xfdbac097c8dc50p+2096 53 0x7f6e5d4c3b2a2p+1036 53 0xfedcba9876543p+1024 53 0x10000000000001p-42 D N + - 53 -0x10000000020000p+04 53 0x10000000efffefp-04 53 0x7ffff0077efcbp-32 53 0x400008000180fp-22 Z Z + + 53 0x3ffffffffffffe 53 -0x7ffffffffffff4p+52 53 0x1fffffffffffff 53 -0x1ffffffffffffe U Z - - 53 0xe0b72ea626af3p-44 53 0x7ffffff800007p-47 53 0xf 53 0x1111111000000fp-53 D Z - - 53 -0xfdbac097c8dc58p+2096 53 0x7f6e5d4c3b2a1cp+1032 53 -0x10000000000001p-42 53 -0xfedcba9876543p+1024 N Z + + 53 0x10000000020001p+04 53 -0x10000000efffefp-04 53 0x400008000180fp-22 53 -0x7ffff0077efcbp-32 U U - + 53 -0x3ffffffffffffe 53 -0x7ffffffffffff4p+52 53 -0x1ffffffffffffe 53 0x1fffffffffffff D U - + 53 -0x1C16E5D4C4D5E7p-45 53 0x1ffffffe00001dp-49 53 -0x1111111000000fp-53 53 -0xf N U + + 53 -0xfdbac097c8dc50p+2096 53 -0x7f6e5d4c3b2a1cp+1032 53 0x10000000000001p-42 53 -0xfedcba9876543p+1024 Z U - - 53 -0x10000000020001p+04 53 -0x10000000effff 53 -0x7ffff0077efcbp-32 53 0x400008000180fp-22 D D - - 53 0x3ffffffffffffd 53 -0x7ffffffffffff8p+52 53 -0x1fffffffffffff 53 0x1ffffffffffffe N D + - 53 -0xE0B72EA626AF3p-44 53 -0x1FFFFFFE00001Dp-49 53 0x1111111000000fp-53 53 -0xf Z D + - 53 0xfdbac097c8dc58p+2096 53 -0x7f6e5d4c3b2a2p+1036 53 -0xfedcba9876543p+1024 53 0x10000000000001p-42 U D # improve test coverage: # For op=x+i*y, we need a case where x+y and x-y are inexact at the # higher computing precision, and where x and y do not have too # distinct exponents so that Karatsuba gets triggered... # (2^44 + i*(2^29 + 1))^2 \approx (2^88-2^58) + i*2^45*(2^29+1) + 0 30 309485009533114692573069312 30 18889465966662952943616 30 17592186044416 30 536870913 N N # ...and a case where x+y or x-y are 0. 0 0 4 0 4 2 4 1 4 1 N N # a few values, previously hard-coded in tsqr.c 0 0 8 7 8 24 8 4 8 3 N N + + 8 0b1.1000111e-3 8 0b1.1100111e-3 27 0b1.11111011011000010101000000e-2 27 0b1.11010001010110111001110001e-3 N N # bug 20090930, infinite loop + + 3464 inf 3464 inf 866 -0x2.5763c6519ef1510f8afa101a210b8030b1909cc17004db561a25d9b53e2c08c41c01e8bbac5af6299b9d8786030aa14943d841798c8c369287942e4d4cec42a60ab0922af931159805e631128e97f973754ad53972d5d320a651a3b4a667f0ef2b92dbd698d159c3642675140@192158913 866 -0xd.15f2d530934dd930d66e89d70762d2337a8f973dd6915eb6b532fd372fcc955df1d852632d4e46fe64154ceda991a1302caf1b0ec622497e3e5724dd05b1c89a06e28d7e18e8af58f5ff4c9998cb31714688867524f41e0b31e847c1bf40de5127f858069998efd7c3e599080@192158893 N N # bug 20091001, infinite loop ? + 2256 0 2256 -0 564 0xc.87999bfd1cb1a64288881e214b7cf1af979863b23c030b79c4a8bebb39177967608388a2e4df527977e7755a25df8af8f72fdd6dd2f42bd00de83088b4e9b59ce85caf2e6b0c0@-184298749 564 -0x2.5109af459d4daf357e09475ec991cdc9b02c8f7dfacdc060d2a24710d09c997f8aea6dbd46f10828c30b583fdcc90d7dcbb895689d594d3813db40784d2309e450d1fb6e38da8@-184298726 N N # (x+x*i)^2 = 0+2*x^2*i with exact real part 0 0 100 0 100 304831530559368 100 12345678 100 12345678 N N 0 0 1000 0 100 304831530559368 100 12345678 100 12345678 N N # intermediate overflow- and underflows 0 + 100 0 100 +inf 100 0x1@225000750 100 0x1@225000750 N N 0 + 10000 0 10000 +inf 100 0x1@225000750 100 0x1@225000750 N N 0 - 100 0 100 +0 100 0x1@-225000750 100 0x1@-225000750 N N 0 + 100 0 100 -0 100 0x1@-225000750 100 -0x1@-225000750 N N 0 - 10000 0 10000 +0 100 0x1@-225000750 100 0x1@-225000750 N N 0 + 10000 0 10000 -0 100 0x1@-225000750 100 -0x1@-225000750 N N # intermediate overflow in Karatsuba found by hydra, simplified test case - - 100 -inf 100 -inf 593 -0xf@192058806 593 0x1@192058873 N N # another interesting one with not exactly the same behaviour - - 100 -inf 100 -inf 100 -0xf@192058806 100 0x1@192058873 N N 0 + 100 0 100 inf 100 0x1@192058806 100 0x1@192058806 N N # Re(op)*Im(op) can be computed, but multiplication by 2 triggers overflow 0 + 100 0 100 inf 100 0b1@536870911 100 0b1@536870911 N N 0 - 10 0 10 0b1.111111111e1073741820 100 0b1@536870911 100 0b1@536870911 N D 0 - 10 0 10 0b1.111111111e1073741820 100 0b1@536870912 100 0b1@536870912 N D 0 0 10 0 10 0b1e-1073741821 100 0b1@-536870911 100 0b1@-536870911 N N 0 - 10 0 10 0 100 0b1@-536870913 100 0b1@-536870913 N N 0 + 10 0 10 0b1@-1073741822 100 0b1@-536870912 100 0b1@-536870912 N U + - 10 0b1e-1073741822 10 0 100 0b1@-536870911 100 0b1@-536870912 N N mpc-1.3.1/tests/tpow_d.c0000644000175100017460000000355713227377425012052 00000000000000/* tpow_d -- test file for mpc_pow_d. Copyright (C) 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void test_integer_values (void) { mpc_t z; mpc_init2 (z, 11); mpc_set_ui_ui (z, 2, 3, MPC_RNDNN); mpc_pow_d (z, z, 3.0, MPC_RNDNN); if (mpc_cmp_si_si (z, -46, 9) != 0) { printf ("Error for mpc_pow_d (1)\n"); exit (1); } mpc_set_si_si (z, -3, 4, MPC_RNDNN); mpc_pow_d (z, z, 0.5, MPC_RNDNN); if (mpc_cmp_si_si (z, 1, 2) != 0) { printf ("Error for mpc_pow_d (2)\n"); exit (1); } mpc_set_ui_ui (z, 2, 3, MPC_RNDNN); mpc_pow_d (z, z, 6.0, MPC_RNDNN); if (mpc_cmp_si_si (z, 2035, -828) != 0) { printf ("Error for mpc_pow_d (3)\n"); exit (1); } mpc_clear (z); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_pow_d (P[1].mpc, P[2].mpc, P[3].d, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_pow_d (P[1].mpc, P[1].mpc, P[3].d, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("pow_d.dsc", 2, 1024, 15, 20); test_integer_values (); /* FIXME: should be in a data file */ test_end (); return 0; } mpc-1.3.1/tests/rootofunity.dat0000644000175100017460000001003213227377425013467 00000000000000# Data file for mpc_rootofunity. # # Copyright (C) 2008, 2010, 2016 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM OP1 OP2 RND_RE RND_IM # special values 0 0 53 nan 53 nan 0 0 N N 0 0 53 nan 53 nan 0 1 N N # roots of unity of small order, some of them with exact results 0 0 53 1 53 0 1 1 Z U 0 0 53 -1 53 0 2 1 N N 0 0 53 0 53 1 4 1 U Z 0 0 53 -1 53 0 4 2 U Z 0 0 53 0 53 -1 4 3 U Z 0 0 53 1 53 0 4 4 U Z 0 - 53 -0.5 53 0b1.1011101101100111101011101000010110000100110010101010e-1 3 1 N D 0 + 53 -0.5 53 0b1.1011101101100111101011101000010110000100110010101011e-1 3 1 N U 0 - 53 -0.5 53 -0b1.1011101101100111101011101000010110000100110010101011e-1 3 2 N D 0 + 53 -0.5 53 -0b1.1011101101100111101011101000010110000100110010101010e-1 3 2 N U 0 - 53 0.5 53 0b1.1011101101100111101011101000010110000100110010101010e-1 6 1 D Z 0 - 53 0.5 53 -0b1.1011101101100111101011101000010110000100110010101011e-1 6 5 D D 0 + 53 0.5 53 -0b1.1011101101100111101011101000010110000100110010101010e-1 6 5 D U - 0 53 0b1.1011101101100111101011101000010110000100110010101010e-1 53 0.5 12 1 N Z - 0 53 0b1.1011101101100111101011101000010110000100110010101010e-1 53 0.5 12 1 D Z + 0 53 0b1.1011101101100111101011101000010110000100110010101011e-1 53 0.5 12 1 U Z - 0 53 -0b1.1011101101100111101011101000010110000100110010101011e-1 53 0.5 12 5 D Z + 0 53 -0b1.1011101101100111101011101000010110000100110010101010e-1 53 0.5 12 5 U Z - 0 53 -0b1.1011101101100111101011101000010110000100110010101011e-1 53 -0.5 12 7 D Z + 0 53 -0b1.1011101101100111101011101000010110000100110010101010e-1 53 -0.5 12 7 U Z - 0 53 0b1.1011101101100111101011101000010110000100110010101010e-1 53 -0.5 12 11 D Z + 0 53 0b1.1011101101100111101011101000010110000100110010101011e-1 53 -0.5 12 11 U Z + + 53 0b1.0110101000001001111001100110011111110011101111001101e-1 53 0b1.0110101000001001111001100110011111110011101111001101e-1 8 1 N N + - 53 0b1.0110101000001001111001100110011111110011101111001101e-1 53 0b1.0110101000001001111001100110011111110011101111001100e-1 8 1 U D - + 53 0b1.0110101000001001111001100110011111110011101111001100e-1 53 0b1.0110101000001001111001100110011111110011101111001101e-1 8 1 D U + - 53 -0b1.0110101000001001111001100110011111110011101111001100e-1 53 0b1.0110101000001001111001100110011111110011101111001100e-1 8 3 U D - + 53 -0b1.0110101000001001111001100110011111110011101111001101e-1 53 0b1.0110101000001001111001100110011111110011101111001101e-1 8 3 D U + - 53 -0b1.0110101000001001111001100110011111110011101111001100e-1 53 -0b1.0110101000001001111001100110011111110011101111001101e-1 8 5 U D - + 53 -0b1.0110101000001001111001100110011111110011101111001101e-1 53 -0b1.0110101000001001111001100110011111110011101111001100e-1 8 5 D U + - 53 0b1.0110101000001001111001100110011111110011101111001101e-1 53 -0b1.0110101000001001111001100110011111110011101111001101e-1 8 7 U D - + 53 0b1.0110101000001001111001100110011111110011101111001100e-1 53 -0b1.0110101000001001111001100110011111110011101111001100e-1 8 7 D U # example with large n=2^32-1 and small real or imaginary part + + 53 1 53 0b1.1001001000011111101101010100010111010100111100010100e-30 4294967295 1 N N - + 53 -0b1.1001001000011111101101010100010111010100111100010100e-32 53 1 4294967295 1073741824 N N mpc-1.3.1/tests/tadd.c0000644000175100017460000000424513227377425011465 00000000000000/* tadd -- test file for mpc_add. Copyright (C) 2008, 2010, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void check_ternary_value (void) { mpc_t x, y, z; mpfr_prec_t prec; mpc_init2 (x, 2); mpc_init2 (y, 2); mpc_init2 (z, 2); for (prec = 2; prec <= 1000; prec++) { mpc_set_prec (x, prec); mpc_set_prec (y, prec); mpc_set_ui (x, 1, MPC_RNDNN); mpc_mul_2ui (x, x, (unsigned long int) prec, MPC_RNDNN); mpc_set_ui (y, 1, MPC_RNDNN); if (mpc_add (z, x, y, MPC_RNDNN) == 0) { fprintf (stderr, "Error in mpc_add: 2^(-prec)+1 cannot be exact\n"); exit (1); } } mpc_clear (x); mpc_clear (y); mpc_clear (z); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_add (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_SYMMETRIC \ P[0].mpc_inex = mpc_add (P[1].mpc, P[3].mpc, P[2].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_add (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_add (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); check_ternary_value(); data_check_template ("add.dsc", "add.dat"); tgeneric_template ("add.dsc", 2, 1024, 7, 128); test_end (); return 0; } mpc-1.3.1/tests/double_rounding.c0000644000175100017460000001540713227377425013732 00000000000000/* double_rounding.c -- Functions for checking double rounding. Copyright (C) 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" /* return 1 if double rounding occurs; return 0 otherwise */ static int double_rounding_mpfr (mpfr_ptr lowprec, mpfr_ptr hiprec, int hiprec_inex, mpfr_rnd_t hiprec_rnd) { mpfr_exp_t hiprec_err; mpfr_rnd_t lowprec_rnd = hiprec_rnd; mpfr_prec_t lowprec_prec = mpfr_get_prec (lowprec); /* hiprec error is bounded by one ulp */ hiprec_err = mpfr_get_prec (hiprec) - 1; if (hiprec_rnd == MPFR_RNDN) /* when rounding to nearest, use the trick for determining the correct ternary value which is described in the MPFR documentation */ { hiprec_err++; /* error is bounded by one half-ulp */ lowprec_rnd = MPFR_RNDZ; lowprec_prec++; } return (hiprec_inex == 0 || mpfr_can_round (hiprec, hiprec_err, hiprec_rnd, lowprec_rnd, lowprec_prec)); } /* return 1 if double rounding occurs; return 0 otherwise */ static int double_rounding_mpc (mpc_ptr lowprec, mpc_ptr hiprec, int hiprec_inex, mpc_rnd_t hiprec_rnd) { mpfr_ptr lowprec_re = mpc_realref (lowprec); mpfr_ptr lowprec_im = mpc_imagref (lowprec); mpfr_ptr hiprec_re = mpc_realref (hiprec); mpfr_ptr hiprec_im = mpc_imagref (hiprec); int inex_re = MPC_INEX_RE (hiprec_inex); int inex_im = MPC_INEX_IM (hiprec_inex); mpfr_rnd_t rnd_re = MPC_RND_RE (hiprec_rnd); mpfr_rnd_t rnd_im = MPC_RND_IM (hiprec_rnd); return (double_rounding_mpfr (lowprec_re, hiprec_re, inex_re, rnd_re) && double_rounding_mpfr (lowprec_im, hiprec_im, inex_im, rnd_im)); } /* check whether double rounding occurs; if not, round extra precise output value and set reference parameter */ int double_rounding (mpc_fun_param_t *params) { int out; const int offset = params->nbout + params->nbin; int rnd_index = offset - params->nbrnd; for (out = 0; out < params->nbout; out++) { if (params->T[out] == MPC) { int inex; MPC_ASSERT ((params->T[0] == MPC_INEX) || (params->T[0] == MPCC_INEX)); MPC_ASSERT ((params->T[offset] == MPC_INEX) || (params->T[offset] == MPCC_INEX)); MPC_ASSERT (params->T[out + offset] == MPC); MPC_ASSERT (params->T[rnd_index] == MPC_RND); /* For the time being, there may be either one or two rounding modes; in the latter case, we assume that there are three outputs: the inexact value and two complex numbers. */ inex = (params->nbrnd == 1 ? params->P[0].mpc_inex : (out == 1 ? MPC_INEX1 (params->P[0].mpcc_inex) : MPC_INEX2 (params->P[0].mpcc_inex))); if (double_rounding_mpc (params->P[out + offset].mpc_data.mpc, params->P[out].mpc, inex, params->P[rnd_index].mpc_rnd)) /* the high-precision value and the exact value round to the same low-precision value */ { int inex_hp, inex_re, inex_im; inex = mpc_set (params->P[out + offset].mpc_data.mpc, params->P[out].mpc, params->P[rnd_index].mpc_rnd); params->P[out + offset].mpc_data.known_sign_real = -1; params->P[out + offset].mpc_data.known_sign_imag = -1; /* no double rounding means that the ternary value may come from the high-precision calculation or from the rounding */ if (params->nbrnd == 1) inex_hp = params->P[0].mpc_inex; else /* nbrnd == 2 */ if (out == 1) inex_hp = MPC_INEX1 (params->P[0].mpcc_inex); else /* out == 2 */ inex_hp = MPC_INEX2 (params->P[0].mpcc_inex); if (MPC_INEX_RE (inex) == 0) inex_re = MPC_INEX_RE (inex_hp); else inex_re = MPC_INEX_RE (inex); if (MPC_INEX_IM (inex) == 0) inex_im = MPC_INEX_IM (inex_hp); else inex_im = MPC_INEX_IM (inex); if (params->nbrnd == 1) { params->P[offset].mpc_inex_data.real = inex_re; params->P[offset].mpc_inex_data.imag = inex_im; } else /* nbrnd == 2 */ if (out == 1) params->P[offset].mpcc_inex = MPC_INEX (inex_re, inex_im); else /* out == 2 */ params->P[offset].mpcc_inex = MPC_INEX12 (params->P[offset].mpcc_inex, MPC_INEX (inex_re, inex_im)); rnd_index++; } else /* double rounding occurs */ return 1; } else if (params->T[out] == MPFR) { MPC_ASSERT (params->T[0] == MPFR_INEX); MPC_ASSERT (params->T[offset] == MPFR_INEX); MPC_ASSERT (params->T[out + offset] == MPFR); MPC_ASSERT (params->T[rnd_index] == MPFR_RND); if (double_rounding_mpfr (params->P[out + offset].mpfr_data.mpfr, params->P[out].mpfr, params->P[0].mpfr_inex, params->P[rnd_index].mpfr_rnd)) /* the hight-precision value and the exact value round to the same low-precision value */ { int inex; inex = mpfr_set (params->P[out + offset].mpfr_data.mpfr, params->P[out].mpfr, params->P[rnd_index].mpfr_rnd); params->P[out + offset].mpfr_data.known_sign = -1; /* no double rounding means that the ternary value may comes from the high-precision calculation or from the rounding */ if (inex == 0) params->P[offset].mpfr_inex = params->P[0].mpfr_inex; else params->P[offset].mpfr_inex = inex; rnd_index++; } else /* double rounding occurs */ return 1; } } return 0; } mpc-1.3.1/tests/texceptions.c0000644000175100017460000001136414345571363013115 00000000000000/* exceptions -- test file for exceptions Copyright (C) 2015, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" /* Return non-zero if 'rnd' rounds towards zero, for a number of sign 'sgn' */ #define MPC_IS_LIKE_RNDZ(rnd, sgn) \ ((rnd==MPFR_RNDZ) || (sgn<0 && rnd==MPFR_RNDU) || (sgn>0 && rnd==MPFR_RNDD)) #define MPFR_SGN(x) (mpfr_signbit (x) ? -1 : 1) static void foo (int f(mpc_ptr, mpc_srcptr, mpc_rnd_t), const char *s) { mpc_t z, t; mpfr_rnd_t rnd_re, rnd_im; mpc_rnd_t rnd; #define N 5 mpfr_exp_t exy[N][2] = {{200, 800}, {800, 200}, {-50, 50}, {-10, 1000}, {0, 1000}}; int n, inex, inex_re, inex_im, sgn; mpc_init2 (z, MPFR_PREC_MIN); mpc_init2 (t, MPFR_PREC_MIN); for (n = 0; n < N; n++) for (sgn = 0; sgn < 4; sgn++) { if (exy[n][0]) mpfr_set_ui_2exp (mpc_realref (z), 1, exy[n][0], MPFR_RNDN); else mpfr_set_ui (mpc_realref (z), 0, MPFR_RNDN); if (sgn & 1) mpfr_neg (mpc_realref (z), mpc_realref (z), MPFR_RNDN); if (exy[n][1]) mpfr_set_ui_2exp (mpc_imagref (z), 1, exy[n][1], MPFR_RNDN); else mpfr_set_ui (mpc_imagref (z), 0, MPFR_RNDN); if (sgn & 2) mpfr_neg (mpc_imagref (z), mpc_imagref (z), MPFR_RNDN); inex = f (t, z, MPC_RNDZZ); inex_re = MPC_INEX_RE(inex); inex_im = MPC_INEX_IM(inex); if (inex_re != 0 && mpfr_inf_p (mpc_realref (t))) { fprintf (stderr, "Error, wrong real part with rounding towards zero\n"); fprintf (stderr, "f = %s\n", s); fprintf (stderr, "z="); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nt="); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); exit (1); } if (inex_im != 0 && mpfr_inf_p (mpc_imagref (t))) { fprintf (stderr, "Error, wrong imag part with rounding towards zero\n"); fprintf (stderr, "f = %s\n", s); fprintf (stderr, "z="); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nt="); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); exit (1); } rnd_re = mpfr_signbit (mpc_realref (t)) == 0 ? MPFR_RNDU : MPFR_RNDD; rnd_im = mpfr_signbit (mpc_imagref (t)) == 0 ? MPFR_RNDU : MPFR_RNDD; rnd = MPC_RND(rnd_re,rnd_im); /* round away */ inex = f (t, z, rnd); inex_re = MPC_INEX_RE(inex); inex_im = MPC_INEX_IM(inex); if (inex_re != 0 && mpfr_zero_p (mpc_realref (t))) { fprintf (stderr, "Error, wrong real part with rounding away from zero\n"); fprintf (stderr, "f = %s\n", s); fprintf (stderr, "z="); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nt="); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); fprintf (stderr, "rnd=%s\n", mpfr_print_rnd_mode (rnd_re)); exit (1); } if (inex_im != 0 && mpfr_zero_p (mpc_imagref (t))) { fprintf (stderr, "Error, wrong imag part with rounding away from zero\n"); fprintf (stderr, "f = %s\n", s); fprintf (stderr, "z="); mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); fprintf (stderr, "\nt="); mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); fprintf (stderr, "\n"); fprintf (stderr, "rnd=%s\n", mpfr_print_rnd_mode (rnd_im)); exit (1); } } mpc_clear (z); mpc_clear (t); } int main (void) { test_start (); foo (mpc_sqr, "sqr"); foo (mpc_conj, "conj"); foo (mpc_neg, "neg"); foo (mpc_sqrt, "sqrt"); foo (mpc_set, "set"); foo (mpc_proj, "proj"); foo (mpc_exp, "exp"); foo (mpc_exp, "exp"); foo (mpc_log, "log"); foo (mpc_log10, "log10"); foo (mpc_sin, "sin"); foo (mpc_cos, "cos"); foo (mpc_tan, "tan"); foo (mpc_sinh, "sinh"); foo (mpc_cosh, "cosh"); foo (mpc_tanh, "tanh"); foo (mpc_asin, "asin"); foo (mpc_acos, "acos"); foo (mpc_atan, "atan"); foo (mpc_asinh, "asinh"); foo (mpc_acosh, "acosh"); foo (mpc_atanh, "atanh"); test_end (); return 0; } mpc-1.3.1/tests/read_data.c0000644000175100017460000002056514345571363012457 00000000000000/* read_data.c -- Read data file and check function. Copyright (C) 2008, 2009, 2010, 2011, 2012, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include #include "mpc-tests.h" char *pathname; unsigned long line_number; /* file name with complete path and currently read line; kept globally to simplify parameter passing */ unsigned long test_line_number; /* start line of data test (which may extend over several lines) */ int nextchar; /* character appearing next in the file, may be EOF */ #define MPC_INEX_CMP(r, i, c) \ (((r) == TERNARY_NOT_CHECKED || (r) == MPC_INEX_RE(c)) \ && ((i) == TERNARY_NOT_CHECKED || (i) == MPC_INEX_IM (c))) #define MPFR_INEX_STR(inex) \ (inex) == TERNARY_NOT_CHECKED ? "?" \ : (inex) == +1 ? "+1" \ : (inex) == -1 ? "-1" : "0" /* file functions */ FILE * open_data_file (const char *file_name) { FILE *fp; char *src_dir; char default_srcdir[] = "."; src_dir = getenv ("srcdir"); if (src_dir == NULL) src_dir = default_srcdir; pathname = (char *) malloc ((strlen (src_dir)) + strlen (file_name) + 2); if (pathname == NULL) { printf ("Cannot allocate memory\n"); exit (1); } sprintf (pathname, "%s/%s", src_dir, file_name); fp = fopen (pathname, "r"); if (fp == NULL) { fprintf (stderr, "Unable to open %s\n", pathname); exit (1); } return fp; } void close_data_file (FILE *fp) { free (pathname); fclose (fp); } /* read primitives */ static void skip_line (FILE *fp) /* skips characters until reaching '\n' or EOF; */ /* '\n' is skipped as well */ { while (nextchar != EOF && nextchar != '\n') nextchar = getc (fp); if (nextchar != EOF) { line_number ++; nextchar = getc (fp); } } static void skip_whitespace (FILE *fp) /* skips over whitespace if any until reaching EOF */ /* or non-whitespace */ { while (isspace (nextchar)) { if (nextchar == '\n') line_number ++; nextchar = getc (fp); } } void skip_whitespace_comments (FILE *fp) /* skips over all whitespace and comments, if any */ { skip_whitespace (fp); while (nextchar == '#') { skip_line (fp); if (nextchar != EOF) skip_whitespace (fp); } } size_t read_string (FILE *fp, char **buffer_ptr, size_t buffer_length, const char *name) { size_t pos; char *buffer; pos = 0; buffer = *buffer_ptr; if (nextchar == '"') nextchar = getc (fp); else goto error; while (nextchar != EOF && nextchar != '"') { if (nextchar == '\n') line_number ++; if (pos + 1 > buffer_length) { buffer = (char *) realloc (buffer, 2 * buffer_length); if (buffer == NULL) { printf ("Cannot allocate memory\n"); exit (1); } buffer_length *= 2; } buffer[pos++] = (char) nextchar; nextchar = getc (fp); } if (nextchar != '"') goto error; if (pos + 1 > buffer_length) { buffer = (char *) realloc (buffer, buffer_length + 1); if (buffer == NULL) { printf ("Cannot allocate memory\n"); exit (1); } buffer_length *= 2; } buffer[pos] = '\0'; nextchar = getc (fp); skip_whitespace_comments (fp); *buffer_ptr = buffer; return buffer_length; error: printf ("Error: Unable to read %s in file '%s' line '%lu'\n", name, pathname, line_number); exit (1); } /* All following read routines skip over whitespace and comments; */ /* so after calling them, nextchar is either EOF or the beginning */ /* of a non-comment token. */ void read_ternary (FILE *fp, int* ternary) { switch (nextchar) { case '!': *ternary = TERNARY_ERROR; break; case '?': *ternary = TERNARY_NOT_CHECKED; break; case '+': *ternary = +1; break; case '0': *ternary = 0; break; case '-': *ternary = -1; break; default: printf ("Error: Unexpected ternary value '%c' in file '%s' line %lu\n", nextchar, pathname, line_number); exit (1); } nextchar = getc (fp); skip_whitespace_comments (fp); } void read_mpfr_rounding_mode (FILE *fp, mpfr_rnd_t* rnd) { switch (nextchar) { case 'n': case 'N': *rnd = MPFR_RNDN; break; case 'z': case 'Z': *rnd = MPFR_RNDZ; break; case 'u': case 'U': *rnd = MPFR_RNDU; break; case 'd': case 'D': *rnd = MPFR_RNDD; break; case 'a': case 'A': *rnd = MPFR_RNDA; break; default: printf ("Error: Unexpected rounding mode '%c' in file '%s' line %lu\n", nextchar, pathname, line_number); exit (1); } nextchar = getc (fp); if (nextchar != EOF && !isspace (nextchar)) { printf ("Error: Rounding mode not followed by white space in file " "'%s' line %lu\n", pathname, line_number); exit (1); } skip_whitespace_comments (fp); } void read_mpc_rounding_mode (FILE *fp, mpc_rnd_t* rnd) { mpfr_rnd_t re, im; read_mpfr_rounding_mode (fp, &re); read_mpfr_rounding_mode (fp, &im); *rnd = MPC_RND (re, im); } void read_int (FILE *fp, int *nread, const char *name) { int n = 0; if (nextchar == EOF) { printf ("Error: Unexpected EOF when reading int " "in file '%s' line %lu\n", pathname, line_number); exit (1); } ungetc (nextchar, fp); n = fscanf (fp, "%i", nread); if (ferror (fp) || n == 0 || n == EOF) { printf ("Error: Cannot read %s in file '%s' line %lu\n", name, pathname, line_number); exit (1); } nextchar = getc (fp); skip_whitespace_comments (fp); } mpfr_prec_t read_mpfr_prec (FILE *fp) { unsigned long prec; int n; if (nextchar == EOF) { printf ("Error: Unexpected EOF when reading mpfr precision " "in file '%s' line %lu\n", pathname, line_number); exit (1); } ungetc (nextchar, fp); n = fscanf (fp, "%lu", &prec); if (ferror (fp)) /* then also n == EOF */ perror ("Error when reading mpfr precision"); if (n == 0 || n == EOF || prec < MPFR_PREC_MIN || prec > MPFR_PREC_MAX) { printf ("Error: Impossible mpfr precision in file '%s' line %lu\n", pathname, line_number); exit (1); } nextchar = getc (fp); skip_whitespace_comments (fp); return (mpfr_prec_t) prec; } static void read_mpfr_mantissa (FILE *fp, mpfr_ptr x) { if (nextchar == EOF) { printf ("Error: Unexpected EOF when reading mpfr mantissa " "in file '%s' line %lu\n", pathname, line_number); exit (1); } ungetc (nextchar, fp); if (mpfr_inp_str (x, fp, 0, MPFR_RNDN) == 0) { printf ("Error: Impossible to read mpfr mantissa " "in file '%s' line %lu\n", pathname, line_number); exit (1); } nextchar = getc (fp); skip_whitespace_comments (fp); } void read_mpfr (FILE *fp, mpfr_ptr x, int *known_sign) { int sign; mpfr_set_prec (x, read_mpfr_prec (fp)); sign = nextchar; read_mpfr_mantissa (fp, x); /* the sign always matters for regular values ('+' is implicit), but when no sign appears before 0 or Inf in the data file, it means that only absolute value must be checked. */ if (known_sign != NULL) *known_sign = (!mpfr_zero_p (x) && !mpfr_inf_p (x)) || sign == '+' || sign == '-'; } void read_mpc (FILE *fp, mpc_ptr z, known_signs_t *ks) { read_mpfr (fp, mpc_realref (z), ks == NULL ? NULL : &ks->re); read_mpfr (fp, mpc_imagref (z), ks == NULL ? NULL : &ks->im); } mpc-1.3.1/tests/neg.dsc0000644000175100017460000000150313227377425011643 00000000000000# Description file for mpc_neg # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_neg RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/proj.dat0000644000175100017460000000566112426164730012045 00000000000000# Data file for mpc_proj. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_RE PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # see sin.dat for precisions # special values (following ISO C99 standard) 0 0 53 +inf 53 -0 53 -inf 53 -inf N N 0 0 53 +inf 53 -0 53 -inf 53 -1 N N 0 0 53 +inf 53 -0 53 -inf 53 -0 N N 0 0 53 +inf 53 +0 53 -inf 53 +0 N N 0 0 53 +inf 53 +0 53 -inf 53 +1 N N 0 0 53 +inf 53 +0 53 -inf 53 +inf N N 0 0 53 +inf 53 0 53 -inf 53 nan N N 0 0 53 +inf 53 -0 53 -1 53 -inf N N 0 0 53 -1 53 -0 53 -1 53 -0 N N 0 0 53 -1 53 +0 53 -1 53 +0 N N 0 0 53 +inf 53 +0 53 -1 53 +inf N N 0 0 53 -1 53 nan 53 -1 53 nan N N 0 0 53 +inf 53 -0 53 -0 53 -inf N N 0 0 53 -0 53 -1 53 -0 53 -1 N N 0 0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 -0 53 +1 53 -0 53 +1 N N 0 0 53 +inf 53 +0 53 -0 53 +inf N N 0 0 53 -0 53 nan 53 -0 53 nan N N 0 0 53 +inf 53 -0 53 +0 53 -inf N N 0 0 53 +0 53 -1 53 +0 53 -1 N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 +0 53 +1 53 +0 53 +1 N N 0 0 53 +inf 53 +0 53 +0 53 +inf N N 0 0 53 +0 53 nan 53 +0 53 nan N N 0 0 53 +inf 53 -0 53 +1 53 -inf N N 0 0 53 +1 53 -0 53 +1 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 +0 53 +1 53 +inf N N 0 0 53 +1 53 nan 53 +1 53 nan N N 0 0 53 +inf 53 -0 53 +inf 53 -inf N N 0 0 53 +inf 53 -0 53 +inf 53 -1 N N 0 0 53 +inf 53 -0 53 +inf 53 -0 N N 0 0 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 +0 53 +inf 53 +inf N N 0 0 53 +inf 53 0 53 +inf 53 nan N N 0 0 53 +inf 53 -0 53 nan 53 -inf N N 0 0 53 nan 53 -1 53 nan 53 -1 N N 0 0 53 nan 53 -0 53 nan 53 -0 N N 0 0 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 +1 53 nan 53 +1 N N 0 0 53 +inf 53 +0 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N mpc-1.3.1/tests/neg.dat0000644000175100017460000001240112426164730011632 00000000000000# Data file for mpc_neg. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # see sin.dat for precisions # special values (following ISO C99 standard) 0 0 53 +inf 53 +inf 53 -inf 53 -inf N N 0 0 53 +inf 53 +1 53 -inf 53 -1 N N 0 0 53 +inf 53 +0 53 -inf 53 -0 N N 0 0 53 +inf 53 -0 53 -inf 53 +0 N N 0 0 53 +inf 53 -1 53 -inf 53 +1 N N 0 0 53 +inf 53 -inf 53 -inf 53 +inf N N 0 0 53 +inf 53 nan 53 -inf 53 nan N N 0 0 53 +1 53 +inf 53 -1 53 -inf N N 0 0 53 +1 53 +0 53 -1 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 +0 N N 0 0 53 +1 53 -inf 53 -1 53 +inf N N 0 0 53 +1 53 nan 53 -1 53 nan N N 0 0 53 +0 53 +inf 53 -0 53 -inf N N 0 0 53 +0 53 +1 53 -0 53 -1 N N 0 0 53 +0 53 +0 53 -0 53 -0 N N 0 0 53 +0 53 -0 53 -0 53 +0 N N 0 0 53 +0 53 -1 53 -0 53 +1 N N 0 0 53 +0 53 -inf 53 -0 53 +inf N N 0 0 53 +0 53 nan 53 -0 53 nan N N 0 0 53 -0 53 +inf 53 +0 53 -inf N N 0 0 53 -0 53 +1 53 +0 53 -1 N N 0 0 53 -0 53 +0 53 +0 53 -0 N N 0 0 53 -0 53 -0 53 +0 53 +0 N N 0 0 53 -0 53 -1 53 +0 53 +1 N N 0 0 53 -0 53 -inf 53 +0 53 +inf N N 0 0 53 -0 53 nan 53 +0 53 nan N N 0 0 53 -1 53 +inf 53 +1 53 -inf N N 0 0 53 -1 53 +0 53 +1 53 -0 N N 0 0 53 -1 53 -0 53 +1 53 +0 N N 0 0 53 -1 53 -inf 53 +1 53 +inf N N 0 0 53 -1 53 nan 53 +1 53 nan N N 0 0 53 -inf 53 +inf 53 +inf 53 -inf N N 0 0 53 -inf 53 +1 53 +inf 53 -1 N N 0 0 53 -inf 53 +0 53 +inf 53 -0 N N 0 0 53 -inf 53 -0 53 +inf 53 +0 N N 0 0 53 -inf 53 -1 53 +inf 53 +1 N N 0 0 53 -inf 53 -inf 53 +inf 53 +inf N N 0 0 53 -inf 53 nan 53 +inf 53 nan N N 0 0 53 nan 53 +inf 53 nan 53 -inf N N 0 0 53 nan 53 +1 53 nan 53 -1 N N 0 0 53 nan 53 +0 53 nan 53 -0 N N 0 0 53 nan 53 -0 53 nan 53 +0 N N 0 0 53 nan 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 -inf 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument 0 0 53 -0x123456789abcdep+52 2 -0 53 0x123456789abcdep+52 17 +0 N N 0 0 53 0x123456789abcdep+52 3 -0 54 -0x123456789abcdep+52 16 +0 Z N 0 0 53 -0x123456789abcdep+52 4 +0 55 0x123456789abcdep+52 15 -0 U N 0 0 53 0x123456789abcdep+52 5 +0 56 -0x123456789abcdep+52 14 -0 D N 0 0 53 -0x123456789abcdep+52 6 -0 57 0x123456789abcdep+52 13 +0 Z Z 0 0 53 0x123456789abcdep+52 7 -0 58 -0x123456789abcdep+52 12 +0 U Z 0 0 53 -0x123456789abcdep+52 8 +0 59 0x123456789abcdep+52 11 -0 D Z 0 0 53 0x123456789abcdep+52 9 +0 60 -0x123456789abcdep+52 10 -0 N Z 0 0 53 -0x123456789abcdep+52 10 -0 61 0x123456789abcdep+52 9 +0 U U 0 0 53 0x123456789abcdep+52 11 -0 62 -0x123456789abcdep+52 8 +0 D U 0 0 53 -0x123456789abcdep+52 12 +0 63 0x123456789abcdep+52 7 -0 N U 0 0 53 0x123456789abcdep+52 13 +0 64 -0x123456789abcdep+52 6 -0 Z U 0 0 53 -0x123456789abcdep+52 14 -0 65 0x123456789abcdep+52 5 +0 D D 0 0 53 0x123456789abcdep+52 15 -0 66 -0x123456789abcdep+52 4 +0 N D 0 0 53 -0x123456789abcdep+52 16 +0 67 0x123456789abcdep+52 3 -0 Z D 0 0 53 0x123456789abcdep+52 17 +0 68 -0x123456789abcdep+52 2 -0 U D # pure imaginary argument 0 0 53 -0 53 -0x123456789abcdep+52 53 +0 53 0x123456789abcdep+52 N N 0 0 53 +0 53 -0x123456789abcdep+52 51 -0 54 0x123456789abcdep+52 Z N 0 0 53 -0 53 0x123456789abcdep+52 49 +0 55 -0x123456789abcdep+52 U N 0 0 53 +0 53 0x123456789abcdep+52 47 -0 56 -0x123456789abcdep+52 D N 0 0 53 -0 53 -0x123456789abcdep+52 45 +0 57 0x123456789abcdep+52 Z Z 0 0 53 +0 53 -0x123456789abcdep+52 43 -0 58 0x123456789abcdep+52 U Z 0 0 53 -0 53 0x123456789abcdep+52 41 +0 59 -0x123456789abcdep+52 D Z 0 0 53 +0 53 0x123456789abcdep+52 39 -0 60 -0x123456789abcdep+52 N Z 0 0 53 -0 53 -0x123456789abcdep+52 37 +0 61 0x123456789abcdep+52 U U 0 0 53 +0 53 -0x123456789abcdep+52 35 -0 62 0x123456789abcdep+52 D U 0 0 53 -0 53 0x123456789abcdep+52 33 +0 63 -0x123456789abcdep+52 N U 0 0 53 +0 53 0x123456789abcdep+52 31 -0 64 -0x123456789abcdep+52 Z U 0 0 53 -0 53 -0x123456789abcdep+52 29 +0 65 0x123456789abcdep+52 D D 0 0 53 +0 53 -0x123456789abcdep+52 27 -0 66 0x123456789abcdep+52 N D 0 0 53 -0 53 0x123456789abcdep+52 25 +0 67 -0x123456789abcdep+52 Z D 0 0 53 +0 53 0x123456789abcdep+52 23 -0 68 -0x123456789abcdep+52 U D mpc-1.3.1/tests/mpc-tests.h0000644000175100017460000003435114345603441012466 00000000000000/* mpc-tests.h -- Tests helper functions. Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #ifndef __MPC_TESTS_H #define __MPC_TESTS_H #include "config.h" #include #include #include #include /* for the PRIi64 format modifier */ #include "mpc-impl.h" /* pieces copied from mpc-impl.h */ #define MPC_PREC_RE(x) (mpfr_get_prec(mpc_realref(x))) #define MPC_PREC_IM(x) (mpfr_get_prec(mpc_imagref(x))) #define MPC_MAX_PREC(x) MPC_MAX(MPC_PREC_RE(x), MPC_PREC_IM(x)) #define MPC_MAX(h,i) ((h) > (i) ? (h) : (i)) #define MPC_ASSERT(expr) \ do { \ if (!(expr)) \ { \ fprintf (stderr, "%s:%d: MPC assertion failed: %s\n", \ __FILE__, __LINE__, #expr); \ abort(); \ } \ } while (0) #if defined (__cplusplus) extern "C" { #endif __MPC_DECLSPEC int64_t sqrt_int64 (int64_t n); __MPC_DECLSPEC int mpc_mul_naive (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_karatsuba (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_fma_naive (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); #if defined (__cplusplus) } #endif /* end pieces copied from mpc-impl.h */ #define MPC_OUT(x) \ do { \ printf (#x "[%lu,%lu]=", (unsigned long int) MPC_PREC_RE (x), \ (unsigned long int) MPC_PREC_IM (x)); \ mpc_out_str (stdout, 2, 0, x, MPC_RNDNN); \ printf ("\n"); \ } while (0) #define MPFR_OUT(x) \ do { \ printf (#x "[%lu]=", (unsigned long int) mpfr_get_prec (x)); \ mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); \ printf ("\n"); \ } while (0) #define MPC_INEX_STR(inex) \ (inex) == 0 ? "(0, 0)" \ : (inex) == 1 ? "(+1, 0)" \ : (inex) == 2 ? "(-1, 0)" \ : (inex) == 4 ? "(0, +1)" \ : (inex) == 5 ? "(+1, +1)" \ : (inex) == 6 ? "(-1, +1)" \ : (inex) == 8 ? "(0, -1)" \ : (inex) == 9 ? "(+1, -1)" \ : (inex) == 10 ? "(-1, -1)" : "unknown" #define TEST_FAILED(func,op,got,expected,rnd) \ do { \ printf ("%s(op) failed [rnd=%d]\n with", func, rnd); \ MPC_OUT (op); \ printf (" "); \ MPC_OUT (got); \ MPC_OUT (expected); \ exit (1); \ } while (0) #define QUOTE(X) NAME(X) #define NAME(X) #X /** RANDOM FUNCTIONS **/ /* the 3 following functions handle seed for random numbers. Usage: - add test_start at the beginning of your test function - use test_default_random (or use your random functions with gmp_randstate_t rands) in your tests - add test_end at the end the test function */ extern gmp_randstate_t rands; extern void test_start (void); extern void test_end (void); extern void test_default_random (mpc_ptr, mpfr_exp_t, mpfr_exp_t, unsigned int, unsigned int); void test_random_si (long int *n, unsigned long emax, unsigned int negative_probability); void test_random_d (double *x, unsigned int negative_probability); void test_random_mpfr (mpfr_ptr x, mpfr_exp_t emin, mpfr_exp_t emax, unsigned int negative_probability); void test_random_mpc (mpc_ptr z, mpfr_exp_t emin, mpfr_exp_t emax, unsigned int negative_probability); /** COMPARISON FUNCTIONS **/ /* some sign are unspecified in ISO C99, thus we record in struct known_signs_t whether the sign has to be checked */ typedef struct { int re; /* boolean value */ int im; /* boolean value */ } known_signs_t; /* same_mpfr_value returns 1: - if got and ref have the same value and known_sign is true, or - if they have the same absolute value, got = 0 or got = inf, and known_sign is false. returns 0 in other cases. Unlike mpfr_cmp, same_mpfr_value(got, ref, x) return 1 when got and ref are both NaNs. */ extern int same_mpfr_value (mpfr_ptr got, mpfr_ptr ref, int known_sign); extern int same_mpc_value (mpc_ptr got, mpc_ptr ref, known_signs_t known_signs); /** READ FILE WITH TEST DATA SET **/ extern FILE * open_data_file (const char *file_name); extern void close_data_file (FILE *fp); /* helper file reading functions */ extern void skip_whitespace_comments (FILE *fp); extern void read_ternary (FILE *fp, int* ternary); extern void read_mpfr_rounding_mode (FILE *fp, mpfr_rnd_t* rnd); extern void read_mpc_rounding_mode (FILE *fp, mpc_rnd_t* rnd); extern mpfr_prec_t read_mpfr_prec (FILE *fp); extern void read_int (FILE *fp, int *n, const char *name); extern size_t read_string (FILE *fp, char **buffer_ptr, size_t buffer_length, const char *name); extern void read_mpfr (FILE *fp, mpfr_ptr x, int *known_sign); extern void read_mpc (FILE *fp, mpc_ptr z, known_signs_t *ks); void set_mpfr_flags (int counter); void check_mpfr_flags (int counter); /* function descriptions */ /* type for return, output and input parameters */ typedef enum { NATIVE_INT, /* int */ NATIVE_UL, /* unsigned long */ NATIVE_L, /* signed long */ NATIVE_D, /* double */ NATIVE_LD, /* long double */ NATIVE_DC, /* double _Complex */ NATIVE_LDC, /* long double _Complex */ NATIVE_IM, /* intmax_t */ NATIVE_UIM, /* uintmax_t */ NATIVE_STRING, /* char* */ GMP_Z, /* mpz_t */ GMP_Q, /* mpq_t */ GMP_F, /* mpf_t */ MPFR_INEX, /* mpfr_inex */ MPFR, /* mpfr_t */ MPFR_RND, /* mpfr_rnd_t */ MPC_INEX, /* mpc_inex */ MPC, /* mpc_t */ MPC_RND, /* mpc_rnd_t */ MPCC_INEX /* mpcc_inex */ } mpc_param_t; /* additional information for checking mpfr_t result */ typedef struct { mpfr_t mpfr; /* skip space for the variable */ int known_sign; } mpfr_data_t; #define TERNARY_NOT_CHECKED 255 /* special value to indicate that the ternary value is not checked */ #define TERNARY_ERROR 254 /* special value to indicate that an error occurred in an mpc function */ /* mpc nonary value as a pair of ternary value for data from a file */ typedef struct { int real; int imag; } mpc_inex_data_t; /* additional information for checking mpc_t result */ typedef struct { mpc_t mpc; /* skip space */ int known_sign_real; int known_sign_imag; } mpc_data_t; /* string buffer information */ typedef struct { char* string; /* skip space */ int length; } string_info_t; /* abstract parameter type Let consider an abstract parameter p, which is declared as follows: mpc_operand_t p; we use the fact that a mpfr_t (respectively mpc_t) value can be accessed as 'p.mpfr' (resp. 'p.mpc') as well as 'p.mpfr_info.mpfr' (resp. 'p.mpc_info.mpc'), the latter form permitting access to the 'known_sign' field(s). Similarly, if the abstract parameter represent a string variable, we can access its value with 'p.string' or 'p.string_info.string' and its size with 'p.string_info.length'. The user uses the simple form when adding a test, the second form is used by the test suite itself when reading reference data and checking result against them. */ typedef union { int i; unsigned long ui; signed long si; double d; long double ld; #ifdef _MPC_H_HAVE_INTMAX_T intmax_t im; uintmax_t uim; #endif #ifdef _Complex_I double _Complex dc; long double _Complex ldc; #endif char * string; string_info_t string_info; mpz_t mpz; mpq_t mpq; mpf_t mpf; mpfr_t mpfr; mpfr_data_t mpfr_data; mpfr_rnd_t mpfr_rnd; int mpfr_inex; mpc_t mpc; mpc_data_t mpc_data; mpc_rnd_t mpc_rnd; int mpc_inex; mpc_inex_data_t mpc_inex_data; int mpcc_inex; } mpc_operand_t; #define PARAMETER_ARRAY_SIZE 10 /* function name plus parameters in the following order: output parameters, input parameters (ending with rounding modes). The input parameters include one rounding mode per mpfr/mpc output starting from rnd_index. For the time being, there may be either one or two rounding modes; in the latter case, we assume that there are three outputs: the inexact value and two complex numbers. */ typedef struct { char *name; /* name of the function */ int nbout; /* number of output parameters */ int nbin; /* number of input parameters, including rounding modes */ int nbrnd; /* number of rounding mode parameters */ mpc_operand_t P[PARAMETER_ARRAY_SIZE]; /* value of parameters */ mpc_param_t T[PARAMETER_ARRAY_SIZE]; /* type of parameters */ } mpc_fun_param_t; void read_description (mpc_fun_param_t* param, const char *file); const char* read_description_findname (mpc_param_t e); /* file functions */ typedef struct { char *pathname; FILE *fd; unsigned long line_number; unsigned long test_line_number; int nextchar; } mpc_datafile_context_t; void open_datafile (mpc_datafile_context_t* datafile_context, const char * data_filename); void close_datafile (mpc_datafile_context_t *dc); /* data file functions */ void read_line (mpc_datafile_context_t* datafile_context, mpc_fun_param_t* params); void check_data (mpc_datafile_context_t* datafile_context, mpc_fun_param_t* params, int index_reused_operand); /* parameters templated functions */ int data_check_template (const char* descr_file, const char * data_file); void init_parameters (mpc_fun_param_t *params); void clear_parameters (mpc_fun_param_t *params); void print_parameter (mpc_fun_param_t *params, int index); int copy_parameter (mpc_fun_param_t *params, int index_dest, int index_src); void tpl_read_int (mpc_datafile_context_t* datafile_context, int *nread, const char *name); void tpl_read_ui (mpc_datafile_context_t* datafile_context, unsigned long int *ui); void tpl_read_si (mpc_datafile_context_t* datafile_context, long int *si); void tpl_read_mpz (mpc_datafile_context_t* datafile_context, mpz_t z); void tpl_skip_whitespace_comments (mpc_datafile_context_t* datafile_context); void tpl_read_ternary (mpc_datafile_context_t* datafile_context, int* ternary); void tpl_read_mpfr (mpc_datafile_context_t* datafile_context, mpfr_ptr x, int* known_sign); void tpl_read_mpfr_rnd (mpc_datafile_context_t* datafile_context, mpfr_rnd_t* rnd); void tpl_read_mpfr_inex (mpc_datafile_context_t* datafile_context, int *ternary); void tpl_read_mpc_inex (mpc_datafile_context_t* datafile_context, mpc_inex_data_t* ternarypair); void tpl_read_mpc (mpc_datafile_context_t* datafile_context, mpc_data_t* z); void tpl_read_mpc_rnd (mpc_datafile_context_t* datafile_context, mpc_rnd_t* rnd); int tpl_same_mpz_value (mpz_ptr n1, mpz_ptr n2); int tpl_same_mpfr_value (mpfr_ptr x1, mpfr_ptr x2, int known_sign); int tpl_check_mpfr_data (mpfr_t got, mpfr_data_t expected); int tpl_check_mpc_data (mpc_ptr got, mpc_data_t expected); void tpl_copy_int (int *dest, const int * const src); void tpl_copy_ui (unsigned long int *dest, const unsigned long int * const src); void tpl_copy_si (long int *dest, const long int * const src); void tpl_copy_d (double *dest, const double * const src); void tpl_copy_mpz (mpz_ptr dest, mpz_srcptr src); void tpl_copy_mpfr (mpfr_ptr dest, mpfr_srcptr src); void tpl_copy_mpc (mpc_ptr dest, mpc_srcptr src); int double_rounding (mpc_fun_param_t *params); /* iterating over rounding modes */ void first_rnd_mode (mpc_fun_param_t *params); int is_valid_rnd_mode (mpc_fun_param_t *params); void next_rnd_mode (mpc_fun_param_t *params); /* parameter precision */ void set_output_precision (mpc_fun_param_t *params, mpfr_prec_t prec); void set_input_precision (mpc_fun_param_t *params, mpfr_prec_t prec); void set_reference_precision (mpc_fun_param_t *params, mpfr_prec_t prec); #endif /* __MPC_TESTS_H */ mpc-1.3.1/tests/tcmp_abs.c0000644000175100017460000000176713227377425012347 00000000000000/* tcmp_abs -- test file for mpc_cmp_abs. Copyright (C) 2016 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].i = mpc_cmp_abs (P[1].mpc, P[2].mpc) #include "data_check.tpl" int main (void) { test_start (); data_check_template ("cmp_abs.dsc", "cmp_abs.dat"); test_end (); return 0; } mpc-1.3.1/tests/cmp_abs.dat0000644000175100017460000001116113227377425012476 00000000000000# Data file for mpc_cmp_abs # # Copyright (C) 2016 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INT PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM # special values 0 53 -inf 53 -inf 53 -inf 53 -inf 0 53 -inf 53 +inf 53 +1 53 -inf 0 53 +inf 53 -inf 53 +inf 53 +0 1 53 +inf 53 +inf 53 -0 53 -1 1 53 -inf 53 -inf 53 -0 53 -1 0 53 -inf 53 +inf 53 +inf 53 nan 0 53 +inf 53 -inf 53 nan 53 -1 0 53 +inf 53 +inf 53 -0 53 nan 0 53 -inf 53 -inf 53 nan 53 nan 0 53 -1 53 -inf 53 +inf 53 -1 0 53 -inf 53 +1 53 +inf 53 -0 1 53 +1 53 -inf 53 -0 53 +1 1 53 +inf 53 +1 53 -0 53 -0 0 53 -1 53 -inf 53 +inf 53 nan 0 53 -inf 53 +1 53 nan 53 +1 0 53 +1 53 -inf 53 -0 53 nan 0 53 +inf 53 +1 53 nan 53 nan 0 53 -0 53 -inf 53 +0 53 +inf 1 53 -inf 53 +0 53 +1 53 -0 1 53 +0 53 -inf 53 -0 53 -0 0 53 +inf 53 +0 53 -inf 53 nan 0 53 -0 53 -inf 53 nan 53 -1 0 53 -inf 53 +0 53 +0 53 nan 0 53 +0 53 -inf 53 nan 53 nan 0 53 +0 53 +1 53 -0 53 -1 1 53 -1 53 -0 53 +0 53 -0 0 53 -0 53 +1 53 nan 53 +inf 0 53 +1 53 -0 53 -1 53 nan 0 53 +0 53 +1 53 nan 53 -0 0 53 -1 53 -0 53 nan 53 nan 0 53 -0 53 +0 53 +0 53 -0 0 53 +0 53 -0 53 nan 53 -inf 0 53 +0 53 +0 53 -1 53 nan 0 53 -0 53 -0 53 nan 53 -0 0 53 -0 53 +0 53 nan 53 nan 0 53 nan 53 -inf 53 nan 53 +inf 0 53 +inf 53 nan 53 -1 53 nan 0 53 nan 53 -inf 53 nan 53 -0 0 53 -inf 53 nan 53 nan 53 nan 0 53 +1 53 nan 53 nan 53 -1 0 53 nan 53 +1 53 -0 53 nan 0 53 -1 53 nan 53 nan 53 nan 0 53 nan 53 +0 53 +0 53 nan 0 53 +0 53 nan 53 nan 53 nan 0 53 nan 53 nan 53 nan 53 nan # real arguments -1 53 +1 53 -0 53 0x10000000000001p-52 53 -0 -1 53 +1 53 -0 53 0x10000000000001p-52 53 -0 -1 53 +1 53 -0 53 0x10000000000001p-52 53 -0 -1 53 -1 53 -0 53 0x10000000000001p-52 53 -0 # one real argument 1 53 +1 53 +1 53 0x10000000000001p-52 53 -0 1 53 +1 53 -2 53 0x10000000000001p-52 53 -0 1 53 -3 53 +3 53 0x10000000000001p-52 53 +0 1 53 -3 53 +3 53 0x10000000000001p-52 53 +0 1 53 -3 53 +3 53 0x10000000000001p-52 53 +0 1 53 -3 53 +3 53 0x10000000000001p-52 53 +0 1 53 -1 53 -4 53 0x10000000000001p-52 53 +0 -1 53 +0 53 +0 53 0x10000000000001p-52 53 -1 -1 53 +0 53 -0 53 0x10000000000001p-52 53 -2 -1 53 +0 53 +0 53 0x10000000000001p-52 53 +3 -1 53 -0 53 -0 53 0x10000000000001p-52 53 +4 # purely imaginary arguments 1 53 -0 53 0x10000000000001p-52 53 -0 53 +1 1 53 +0 53 0x10000000000001p-52 53 -0 53 +1 1 53 +0 53 0x10000000000001p-52 53 -0 53 +1 1 53 -0 53 0x10000000000001p-52 53 -0 53 +1 # one purely imaginary argument -1 53 -0 53 0x10000000000001p-52 53 -1 53 +1 -1 53 +0 53 0x10000000000001p-52 53 -2 53 -1 -1 53 +0 53 0x10000000000001p-52 53 -3 53 -3 -1 53 +0 53 0x10000000000001p-52 53 -3 53 -3 -1 53 +0 53 0x10000000000001p-52 53 -3 53 -3 -1 53 +0 53 0x10000000000001p-52 53 -3 53 -3 -1 53 -0 53 0x10000000000001p-52 53 -4 53 -1 # some finite numbers with different signs, also at higher precision 0 53 1 53 8 53 4 53 7 0 53 1 53 8 53 4 53 -7 0 53 1 53 8 53 -4 53 7 0 53 1 53 8 53 -4 53 -7 0 53 1 53 -8 53 4 53 7 0 53 1 53 -8 53 4 53 -7 0 53 1 53 -8 53 -4 53 7 0 53 1 53 -8 53 -4 53 -7 0 53 -1 53 8 53 4 53 7 0 53 -1 53 8 53 4 53 -7 0 53 -1 53 8 53 -4 53 7 0 53 -1 53 8 53 -4 53 -7 0 53 -1 53 -8 53 4 53 7 0 53 -1 53 -8 53 4 53 -7 0 53 -1 53 -8 53 -4 53 7 0 53 -1 53 -8 53 -4 53 -7 0 53 1 53 8 53 4 53 7 0 53 1 53 8 53 7 53 4 0 53 8 53 1 53 4 53 7 0 53 8 53 1 53 7 53 4 0 100000 1 53 8 53 4 53 7 0 100000 1 53 8 53 7 53 4 0 100000 8 53 1 53 4 53 7 0 100000 8 53 1 53 7 53 4 1 53 1 53 4 53 2 53 3 -1 53 2 53 3 53 1 53 4 1 100000 1 53 4 53 2 53 3 -1 100000 2 53 3 53 1 53 4 mpc-1.3.1/tests/mul_2ui.dsc0000644000175100017460000000154513227377425012454 00000000000000# Description file for mpc_mul_2ui # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_mul_2ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/tasin.c0000644000175100017460000000230413227377425011661 00000000000000/* tasin -- test file for mpc_asin. Copyright (C) 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_asin (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_asin (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("asin.dsc", "asin.dat"); tgeneric_template ("asin.dsc", 2, 512, 7, 7); test_end (); return 0; } mpc-1.3.1/tests/sub_fr.dat0000644000175100017460000004175312426164730012355 00000000000000# Data file for mpc_sub_fr. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # For explanations on the file format, see add_fr.dat. # special values 0 0 7 nan 7 -inf 7 -inf 7 -inf 7 -inf N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 -1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 -0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 +0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 -inf 7 -inf 7 nan N N 0 0 7 nan 7 -1 7 -inf 7 -1 7 -inf N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 -1 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 -0 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 1 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 -inf 7 -1 7 nan N N 0 0 7 nan 7 -0 7 -inf 7 -0 7 -inf N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 -1 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 -0 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 +0 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 1 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 -inf 7 -0 7 nan N N 0 0 7 nan 7 +0 7 -inf 7 +0 7 -inf N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 -1 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 -0 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 +0 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 1 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 -inf 7 +0 7 nan N N 0 0 7 nan 7 1 7 -inf 7 1 7 -inf N N 0 0 7 -inf 7 1 7 -inf 7 1 7 -1 N N 0 0 7 -inf 7 1 7 -inf 7 1 7 -0 N N 0 0 7 -inf 7 1 7 -inf 7 1 7 +0 N N 0 0 7 -inf 7 1 7 -inf 7 1 7 1 N N 0 0 7 -inf 7 1 7 -inf 7 1 7 +inf N N 0 0 7 nan 7 1 7 -inf 7 1 7 nan N N 0 0 7 nan 7 +inf 7 -inf 7 +inf 7 -inf N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 -1 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 -0 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 -inf 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 -inf N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 -1 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 +0 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 nan N N 0 0 7 +inf 7 -inf 7 -1 7 -inf 7 -inf N N 0 0 7 0 7 -inf 7 -1 7 -inf 7 -1 N N 0 0 7 -1 7 -inf 7 -1 7 -inf 7 -0 N N 0 0 7 -1 7 -inf 7 -1 7 -inf 7 +0 N N 0 0 7 -2 7 -inf 7 -1 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 -1 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 -1 7 -inf 7 nan N N 0 0 7 +inf 7 -1 7 -1 7 -1 7 -inf N N 0 0 7 -inf 7 -1 7 -1 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 -1 7 -1 7 nan N N 0 0 7 +inf 7 -0 7 -1 7 -0 7 -inf N N 0 0 7 -inf 7 -0 7 -1 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 -1 7 -0 7 nan N N 0 0 7 +inf 7 +0 7 -1 7 +0 7 -inf N N 0 0 7 -inf 7 +0 7 -1 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 -1 7 +0 7 nan N N 0 0 7 +inf 7 1 7 -1 7 1 7 -inf N N 0 0 7 -inf 7 1 7 -1 7 1 7 +inf N N 0 0 7 nan 7 1 7 -1 7 1 7 nan N N 0 0 7 +inf 7 +inf 7 -1 7 +inf 7 -inf N N 0 0 7 0 7 +inf 7 -1 7 +inf 7 -1 N N 0 0 7 -1 7 +inf 7 -1 7 +inf 7 -0 N N 0 0 7 -1 7 +inf 7 -1 7 +inf 7 +0 N N 0 0 7 -2 7 +inf 7 -1 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 -1 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 -1 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 -1 7 nan 7 -inf N N 0 0 7 0 7 nan 7 -1 7 nan 7 -1 N N 0 0 7 -1 7 nan 7 -1 7 nan 7 -0 N N 0 0 7 -1 7 nan 7 -1 7 nan 7 +0 N N 0 0 7 -2 7 nan 7 -1 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 -1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 nan 7 nan N N 0 0 7 +inf 7 -inf 7 -0 7 -inf 7 -inf N N 0 0 7 1 7 -inf 7 -0 7 -inf 7 -1 N N 0 0 7 0 7 -inf 7 -0 7 -inf 7 -0 N N 0 0 7 -0 7 -inf 7 -0 7 -inf 7 +0 N N 0 0 7 -1 7 -inf 7 -0 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 -0 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 -0 7 -inf 7 nan N N 0 0 7 +inf 7 -1 7 -0 7 -1 7 -inf N N 0 0 7 -inf 7 -1 7 -0 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 -0 7 -1 7 nan N N 0 0 7 +inf 7 -0 7 -0 7 -0 7 -inf N N 0 0 7 -inf 7 -0 7 -0 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 -0 7 -0 7 nan N N 0 0 7 +inf 7 +0 7 -0 7 +0 7 -inf N N 0 0 7 -inf 7 +0 7 -0 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 -0 7 +0 7 nan N N 0 0 7 +inf 7 1 7 -0 7 1 7 -inf N N 0 0 7 -inf 7 1 7 -0 7 1 7 +inf N N 0 0 7 nan 7 1 7 -0 7 1 7 nan N N 0 0 7 +inf 7 +inf 7 -0 7 +inf 7 -inf N N 0 0 7 1 7 +inf 7 -0 7 +inf 7 -1 N N 0 0 7 0 7 +inf 7 -0 7 +inf 7 -0 N N 0 0 7 -0 7 +inf 7 -0 7 +inf 7 +0 N N 0 0 7 -1 7 +inf 7 -0 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 -0 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 -0 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 -0 7 nan 7 -inf N N 0 0 7 1 7 nan 7 -0 7 nan 7 -1 N N 0 0 7 0 7 nan 7 -0 7 nan 7 -0 N N 0 0 7 -0 7 nan 7 -0 7 nan 7 +0 N N 0 0 7 -1 7 nan 7 -0 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 -0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 nan 7 nan N N 0 0 7 +inf 7 -inf 7 +0 7 -inf 7 -inf N N 0 0 7 1 7 -inf 7 +0 7 -inf 7 -1 N N 0 0 7 +0 7 -inf 7 +0 7 -inf 7 -0 N N 0 0 7 0 7 -inf 7 +0 7 -inf 7 +0 N N 0 0 7 -1 7 -inf 7 +0 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 +0 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 +0 7 -inf 7 nan N N 0 0 7 +inf 7 -1 7 +0 7 -1 7 -inf N N 0 0 7 -inf 7 -1 7 +0 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 +0 7 -1 7 nan N N 0 0 7 +inf 7 -0 7 +0 7 -0 7 -inf N N 0 0 7 -inf 7 -0 7 +0 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 +0 7 -0 7 nan N N 0 0 7 +inf 7 +0 7 +0 7 +0 7 -inf N N 0 0 7 -inf 7 +0 7 +0 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 +0 7 +0 7 nan N N 0 0 7 +inf 7 1 7 +0 7 1 7 -inf N N 0 0 7 -inf 7 1 7 +0 7 1 7 +inf N N 0 0 7 nan 7 1 7 +0 7 1 7 nan N N 0 0 7 +inf 7 +inf 7 +0 7 +inf 7 -inf N N 0 0 7 1 7 +inf 7 +0 7 +inf 7 -1 N N 0 0 7 +0 7 +inf 7 +0 7 +inf 7 -0 N N 0 0 7 0 7 +inf 7 +0 7 +inf 7 +0 N N 0 0 7 -1 7 +inf 7 +0 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 +0 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 +0 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 +0 7 nan 7 -inf N N 0 0 7 1 7 nan 7 +0 7 nan 7 -1 N N 0 0 7 +0 7 nan 7 +0 7 nan 7 -0 N N 0 0 7 0 7 nan 7 +0 7 nan 7 +0 N N 0 0 7 -1 7 nan 7 +0 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 +0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 nan 7 nan N N 0 0 7 +inf 7 -inf 7 1 7 -inf 7 -inf N N 0 0 7 2 7 -inf 7 1 7 -inf 7 -1 N N 0 0 7 1 7 -inf 7 1 7 -inf 7 -0 N N 0 0 7 1 7 -inf 7 1 7 -inf 7 +0 N N 0 0 7 0 7 -inf 7 1 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 1 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 1 7 -inf 7 nan N N 0 0 7 +inf 7 -1 7 1 7 -1 7 -inf N N 0 0 7 -inf 7 -1 7 1 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 1 7 -1 7 nan N N 0 0 7 +inf 7 -0 7 1 7 -0 7 -inf N N 0 0 7 -inf 7 -0 7 1 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 1 7 -0 7 nan N N 0 0 7 +inf 7 +0 7 1 7 +0 7 -inf N N 0 0 7 -inf 7 +0 7 1 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 1 7 +0 7 nan N N 0 0 7 +inf 7 1 7 1 7 1 7 -inf N N 0 0 7 -inf 7 1 7 1 7 1 7 +inf N N 0 0 7 nan 7 1 7 1 7 1 7 nan N N 0 0 7 +inf 7 +inf 7 1 7 +inf 7 -inf N N 0 0 7 2 7 +inf 7 1 7 +inf 7 -1 N N 0 0 7 1 7 +inf 7 1 7 +inf 7 -0 N N 0 0 7 1 7 +inf 7 1 7 +inf 7 +0 N N 0 0 7 0 7 +inf 7 1 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 1 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 1 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 1 7 nan 7 -inf N N 0 0 7 2 7 nan 7 1 7 nan 7 -1 N N 0 0 7 1 7 nan 7 1 7 nan 7 -0 N N 0 0 7 1 7 nan 7 1 7 nan 7 +0 N N 0 0 7 0 7 nan 7 1 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 1 7 nan 7 nan N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 -inf N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 -1 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 -0 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 +0 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 +inf 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 +inf 7 -inf 7 nan N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 -inf N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 -1 N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 -0 N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 1 N N 0 0 7 nan 7 -1 7 +inf 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 +inf 7 -1 7 nan N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 -inf N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 -1 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 -0 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 +0 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 1 N N 0 0 7 nan 7 -0 7 +inf 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 +inf 7 -0 7 nan N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 -inf N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 -1 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 -0 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 +0 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 1 N N 0 0 7 nan 7 +0 7 +inf 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 +inf 7 +0 7 nan N N 0 0 7 +inf 7 1 7 +inf 7 1 7 -inf N N 0 0 7 +inf 7 1 7 +inf 7 1 7 -1 N N 0 0 7 +inf 7 1 7 +inf 7 1 7 -0 N N 0 0 7 +inf 7 1 7 +inf 7 1 7 +0 N N 0 0 7 +inf 7 1 7 +inf 7 1 7 1 N N 0 0 7 nan 7 1 7 +inf 7 1 7 +inf N N 0 0 7 nan 7 1 7 +inf 7 1 7 nan N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 -inf N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 -1 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 -0 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 +0 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 1 N N 0 0 7 nan 7 +inf 7 +inf 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 +inf 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 -inf N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 -1 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 -0 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 +0 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 1 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 nan N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 -inf N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 -1 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 -0 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 +0 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 +inf N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 nan N N 0 0 7 nan 7 -1 7 nan 7 -1 7 -inf N N 0 0 7 nan 7 -1 7 nan 7 -1 7 -1 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 -0 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 1 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 +inf N N 0 0 7 nan 7 -1 7 nan 7 -1 7 nan N N 0 0 7 nan 7 -0 7 nan 7 -0 7 -inf N N 0 0 7 nan 7 -0 7 nan 7 -0 7 -1 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 +0 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 1 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 +inf N N 0 0 7 nan 7 -0 7 nan 7 -0 7 nan N N 0 0 7 nan 7 +0 7 nan 7 +0 7 -inf N N 0 0 7 nan 7 +0 7 nan 7 +0 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 -0 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 +0 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 1 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 +inf N N 0 0 7 nan 7 +0 7 nan 7 +0 7 nan N N 0 0 7 nan 7 1 7 nan 7 1 7 -inf N N 0 0 7 nan 7 1 7 nan 7 1 7 -1 N N 0 0 7 nan 7 1 7 nan 7 1 7 -0 N N 0 0 7 nan 7 1 7 nan 7 1 7 +0 N N 0 0 7 nan 7 1 7 nan 7 1 7 1 N N 0 0 7 nan 7 1 7 nan 7 1 7 +inf N N 0 0 7 nan 7 1 7 nan 7 1 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 -inf N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 -1 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 -0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 +0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 1 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 +inf N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan N N # values with only 1, -1, +0, -0 0 0 7 0 7 -1 7 -1 7 -1 7 -1 N N 0 0 7 -1 7 -1 7 -1 7 -1 7 -0 N N 0 0 7 -1 7 -1 7 -1 7 -1 7 +0 N N 0 0 7 -2 7 -1 7 -1 7 -1 7 1 N N 0 0 7 0 7 -0 7 -1 7 -0 7 -1 N N 0 0 7 -1 7 -0 7 -1 7 -0 7 -0 N N 0 0 7 -1 7 -0 7 -1 7 -0 7 +0 N N 0 0 7 -2 7 -0 7 -1 7 -0 7 1 N N 0 0 7 0 7 +0 7 -1 7 +0 7 -1 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 -0 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 +0 N N 0 0 7 -2 7 +0 7 -1 7 +0 7 1 N N 0 0 7 0 7 1 7 -1 7 1 7 -1 N N 0 0 7 -1 7 1 7 -1 7 1 7 -0 N N 0 0 7 -1 7 1 7 -1 7 1 7 +0 N N 0 0 7 -2 7 1 7 -1 7 1 7 1 N N 0 0 7 1 7 -1 7 -0 7 -1 7 -1 N N 0 0 7 0 7 -1 7 -0 7 -1 7 -0 N N 0 0 7 -0 7 -1 7 -0 7 -1 7 +0 N N 0 0 7 -1 7 -1 7 -0 7 -1 7 1 N N 0 0 7 1 7 -0 7 -0 7 -0 7 -1 N N 0 0 7 0 7 -0 7 -0 7 -0 7 -0 N N 0 0 7 -0 7 -0 7 -0 7 -0 7 +0 N N 0 0 7 -1 7 -0 7 -0 7 -0 7 1 N N 0 0 7 1 7 +0 7 -0 7 +0 7 -1 N N 0 0 7 0 7 +0 7 -0 7 +0 7 -0 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 +0 N N 0 0 7 -1 7 +0 7 -0 7 +0 7 1 N N 0 0 7 1 7 1 7 -0 7 1 7 -1 N N 0 0 7 0 7 1 7 -0 7 1 7 -0 N N 0 0 7 -0 7 1 7 -0 7 1 7 +0 N N 0 0 7 -1 7 1 7 -0 7 1 7 1 N N 0 0 7 1 7 -1 7 +0 7 -1 7 -1 N N 0 0 7 +0 7 -1 7 +0 7 -1 7 -0 N N 0 0 7 0 7 -1 7 +0 7 -1 7 +0 N N 0 0 7 -1 7 -1 7 +0 7 -1 7 1 N N 0 0 7 1 7 -0 7 +0 7 -0 7 -1 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 -0 N N 0 0 7 0 7 -0 7 +0 7 -0 7 +0 N N 0 0 7 -1 7 -0 7 +0 7 -0 7 1 N N 0 0 7 1 7 +0 7 +0 7 +0 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 -0 N N 0 0 7 0 7 +0 7 +0 7 +0 7 +0 N N 0 0 7 -1 7 +0 7 +0 7 +0 7 1 N N 0 0 7 1 7 1 7 +0 7 1 7 -1 N N 0 0 7 +0 7 1 7 +0 7 1 7 -0 N N 0 0 7 0 7 1 7 +0 7 1 7 +0 N N 0 0 7 -1 7 1 7 +0 7 1 7 1 N N 0 0 7 2 7 -1 7 1 7 -1 7 -1 N N 0 0 7 1 7 -1 7 1 7 -1 7 -0 N N 0 0 7 1 7 -1 7 1 7 -1 7 +0 N N 0 0 7 0 7 -1 7 1 7 -1 7 1 N N 0 0 7 2 7 -0 7 1 7 -0 7 -1 N N 0 0 7 1 7 -0 7 1 7 -0 7 -0 N N 0 0 7 1 7 -0 7 1 7 -0 7 +0 N N 0 0 7 0 7 -0 7 1 7 -0 7 1 N N 0 0 7 2 7 +0 7 1 7 +0 7 -1 N N 0 0 7 1 7 +0 7 1 7 +0 7 -0 N N 0 0 7 1 7 +0 7 1 7 +0 7 +0 N N 0 0 7 0 7 +0 7 1 7 +0 7 1 N N 0 0 7 2 7 1 7 1 7 1 7 -1 N N 0 0 7 1 7 1 7 1 7 1 7 -0 N N 0 0 7 1 7 1 7 1 7 1 7 +0 N N 0 0 7 0 7 1 7 1 7 1 7 1 N N # also check the imaginary part is correctly rounded 0 - 2 nan 2 16 2 nan 5 17 2 nan N N 0 + 2 nan 2 24 2 nan 5 17 2 nan N U 0 - 2 nan 2 16 2 nan 5 17 2 nan N D 0 - 2 nan 2 16 2 nan 5 17 2 nan N Z 0 + 2 nan 2 -16 2 nan 5 -17 2 nan N N 0 + 2 nan 2 -16 2 nan 5 -17 2 nan N U 0 - 2 nan 2 -24 2 nan 5 -17 2 nan N D 0 + 2 nan 2 -16 2 nan 5 -17 2 nan N Z mpc-1.3.1/tests/pow_d.dsc0000644000175100017460000000156513227377425012212 00000000000000# Description file for mpc_pow_d # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_pow_d RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr double mpc_rnd_t mpc-1.3.1/tests/pow_fr.dsc0000644000175100017460000000157413227377425012376 00000000000000# Description file for mpc_pow_fr # # Copyright (C) 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_pow_fr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpfr_srcptr mpc_rnd_t mpc-1.3.1/tests/tcos.c0000644000175100017460000000436513227377425011524 00000000000000/* tcos -- test file for mpc_cos. Copyright (C) 2008, 2009, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void bug20090105 (void) { /* this bug appeared on 32-bits machines */ mpc_t op, expected, got; mpc_init2 (op, 324); mpc_init2 (expected, 324); mpc_init2 (got, 324); mpfr_set_str (mpc_realref(op), "-3.f1813b1487372434fea4414a520f65a343a16d0ec1ffb" "b2b880154db8d63377ce788fc4215c450300@1", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref(op), "-2.b7a0c80bcacf1ccbbac614bf53a58b672b1b503161bee" "59a82e46a23570b652f7ba5f01ef766d1c50", 16,MPFR_RNDN); mpfr_set_str (mpc_realref(expected), "7.57c5b08a2b11b660d906a354289b0724b9c4b237" "95abe33424e8d9858e534bd5d776ddd18e34b0240", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref(expected), "-1.f41a389646d068e0263561cb3c5d1df763945ad" "ed9339f2a98387a3c4f97dbfd8a08b7d0af2f11b46", 16,MPFR_RNDN); mpc_cos (got, op, MPC_RNDNN); if (mpc_cmp (got, expected) != 0) TEST_FAILED ("mpc_cos", op, got, expected, MPC_RNDNN); mpc_clear (got); mpc_clear(expected); mpc_clear (op); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_cos (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_cos (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("cos.dsc", "cos.dat"); tgeneric_template ("cos.dsc", 2, 512, 7, 7); bug20090105 (); /* TODO: move data in cos.dat */ test_end (); return 0; } mpc-1.3.1/tests/tdiv_2ui.c0000644000175100017460000000226413227377425012275 00000000000000/* tdiv_2ui -- test file for mpc_div_2ui. Copyright (C) 2008, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_div_2ui (P[1].mpc, P[2].mpc, P[3].ui, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_div_2ui (P[1].mpc, P[1].mpc, P[3].ui, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("div_2ui.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/add.dsc0000644000175100017460000000161013227377425011621 00000000000000# Description file for mpc_add # # Copyright (C) 2008, 2010, 2011, 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_add RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/sin.dat0000644000175100017460000002027313227377425011667 00000000000000# Data file for mpc_sin. # # Copyright (C) 2008, 2010 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(sin op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(sin op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 0 53 nan 53 inf 53 -inf 53 -inf N N 0 0 53 nan 53 nan 53 -inf 53 -1 N N 0 0 53 nan 53 0 53 -inf 53 -0 N N 0 0 53 nan 53 0 53 -inf 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +1 N N 0 0 53 nan 53 inf 53 -inf 53 +inf N N 0 0 53 nan 53 nan 53 -inf 53 nan N N 0 0 53 +inf 53 -inf 53 -6 53 -inf N N 0 0 53 +inf 53 +inf 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N 0 0 53 +inf 53 +inf 53 -4 53 -inf N N 0 0 53 +inf 53 -inf 53 -4 53 +inf N N 0 0 53 nan 53 nan 53 -4 53 nan N N 0 0 53 -inf 53 +inf 53 -2 53 -inf N N 0 0 53 -inf 53 -inf 53 -2 53 +inf N N 0 0 53 nan 53 nan 53 -2 53 nan N N 0 0 53 -inf 53 -inf 53 -1 53 -inf N N 0 0 53 -inf 53 +inf 53 -1 53 +inf N N 0 0 53 nan 53 nan 53 -1 53 nan N N 0 0 53 -0 53 -inf 53 -0 53 -inf N N 0 0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 -0 53 +inf 53 -0 53 +inf N N 0 0 53 -0 53 nan 53 -0 53 nan N N 0 0 53 +0 53 -inf 53 +0 53 -inf N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 +0 53 +inf 53 +0 53 +inf N N 0 0 53 +0 53 nan 53 +0 53 nan N N 0 0 53 +inf 53 -inf 53 +1 53 -inf N N 0 0 53 +inf 53 +inf 53 +1 53 +inf N N 0 0 53 nan 53 nan 53 +1 53 nan N N 0 0 53 +inf 53 +inf 53 +2 53 -inf N N 0 0 53 +inf 53 -inf 53 +2 53 +inf N N 0 0 53 nan 53 nan 53 +2 53 nan N N 0 0 53 -inf 53 +inf 53 +4 53 -inf N N 0 0 53 -inf 53 -inf 53 +4 53 +inf N N 0 0 53 nan 53 nan 53 +4 53 nan N N 0 0 53 -inf 53 -inf 53 +6 53 -inf N N 0 0 53 -inf 53 +inf 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N 0 0 53 nan 53 inf 53 +inf 53 -inf N N 0 0 53 nan 53 nan 53 +inf 53 -1 N N 0 0 53 nan 53 0 53 +inf 53 -0 N N 0 0 53 nan 53 0 53 +inf 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +1 N N 0 0 53 nan 53 inf 53 +inf 53 +inf N N 0 0 53 nan 53 nan 53 +inf 53 nan N N 0 0 53 nan 53 inf 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 0 53 nan 53 -0 N N 0 0 53 nan 53 0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 nan 53 inf 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument - 0 53 0x4787C62AC28Bp-48 53 -0 53 -6 53 -0 N N - 0 53 0x4787C62AC28Bp-48 53 +0 53 -6 53 +0 N N - 0 53 0xC1BDCEEEE0F57p-52 53 +0 53 -4 53 -0 N N - 0 53 0xC1BDCEEEE0F57p-52 53 -0 53 -4 53 +0 N N - 0 53 -0xE8C7B7568DA23p-52 53 +0 53 -2 53 -0 N N - 0 53 -0xE8C7B7568DA23p-52 53 -0 53 -2 53 +0 N N + 0 53 -0xD76AA47848677p-52 53 -0 53 -1 53 -0 N N + 0 53 -0xD76AA47848677p-52 53 +0 53 -1 53 +0 N N - 0 53 0xD76AA47848677p-52 53 -0 53 +1 53 -0 N N - 0 53 0xD76AA47848677p-52 53 +0 53 +1 53 +0 N N + 0 53 0xE8C7B7568DA23p-52 53 +0 53 +2 53 -0 N N + 0 53 0xE8C7B7568DA23p-52 53 -0 53 +2 53 +0 N N + 0 53 -0xC1BDCEEEE0F57p-52 53 +0 53 +4 53 -0 N N + 0 53 -0xC1BDCEEEE0F57p-52 53 -0 53 +4 53 +0 N N + 0 53 -0x4787C62AC28Bp-48 53 -0 53 +6 53 -0 N N + 0 53 -0x4787C62AC28Bp-48 53 +0 53 +6 53 +0 N N # pure imaginary argument 0 + 53 -0 53 -0x1936D22F67C805p-45 53 -0 53 -6 N N 0 + 53 +0 53 -0x1936D22F67C805p-45 53 +0 53 -6 N N 0 - 53 -0 53 -0x1B4A3803703631p-48 53 -0 53 -4 N N 0 - 53 +0 53 -0x1B4A3803703631p-48 53 +0 53 -4 N N 0 + 53 -0 53 -0x1D03CF63B6E19Fp-51 53 -0 53 -2 N N 0 + 53 +0 53 -0x1D03CF63B6E19Fp-51 53 +0 53 -2 N N 0 + 53 -0 53 -0x966CFE2275CC1p-51 53 -0 53 -1 N N 0 + 53 +0 53 -0x966CFE2275CC1p-51 53 +0 53 -1 N N 0 - 53 -0 53 0x966CFE2275CC1p-51 53 -0 53 +1 N N 0 - 53 +0 53 0x966CFE2275CC1p-51 53 +0 53 +1 N N 0 - 53 -0 53 0x1D03CF63B6E19Fp-51 53 -0 53 +2 N N 0 - 53 +0 53 0x1D03CF63B6E19Fp-51 53 +0 53 +2 N N 0 + 53 -0 53 0x1B4A3803703631p-48 53 -0 53 +4 N N 0 + 53 +0 53 0x1B4A3803703631p-48 53 +0 53 +4 N N 0 - 53 -0 53 0x1936D22F67C805p-45 53 -0 53 +6 N N 0 - 53 +0 53 0x1936D22F67C805p-45 53 +0 53 +6 N N # IEEE-754 double precision + + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N N + + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N Z + + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N U + - 53 514 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 N D - + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z N - + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z Z - + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z U - - 53 0x100FFFFFFFFFFFp-43 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 Z D + + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U N + + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U Z + + 53 514 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U U + - 53 514 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 U D - + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D N - + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D Z - + 53 0x100FFFFFFFFFFFp-43 53 -0x11B7CA26B51951p-97 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D U - - 53 0x100FFFFFFFFFFFp-43 53 -0x8DBE5135A8CA9p-96 53 0x3243F6A8885A3p-49 53 -0x1BBDD1808C59A3p-50 D D # huge values + + 53 +inf 53 +inf 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N - + 53 -inf 53 +inf 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N # bug reported by Joseph Myers (25 Mar 2015) - - 2 0x3p1073741819 2 0x3p1073741819 2 -0x1p200 2 -0x1p800 Z Z mpc-1.3.1/tests/sub.dsc0000644000175100017460000000160113227377425011662 00000000000000# Description file for mpc_sub # # Copyright (C) 2008, 2011, 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_sub RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/log10.dat0000644000175100017460000002176213227377425012024 00000000000000# Data test file for mpc_log10. # # Copyright (C) 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # See file sin.dat for the format description. # Special values, following ISO C99 standard, Annex G, # more precisely Section 7.26 "Future library directions" # Rule [conj]: log10(conj(z)) = conj(log10(z)) # log10(nan + i*inf) = +inf + i*nan 0 0 2 +inf 2 nan 2 nan 2 +inf N N 0 0 2 +inf 2 nan 2 nan 2 -inf N N # log10(nan + i*nan) = nan + i*nan 0 0 2 nan 2 nan 2 nan 2 nan N N # log10(nan + i*y) = nan + i*nan for finite y 0 0 2 nan 2 nan 2 nan 2 1 N N 0 0 2 nan 2 nan 2 nan 2 +0 N N 0 0 2 nan 2 nan 2 nan 2 -0 N N 0 0 2 nan 2 nan 2 nan 2 -1 N N # log10(+/-inf + i*nan) = +inf + i*nan 0 0 2 +inf 2 nan 2 +inf 2 nan N N 0 0 2 +inf 2 nan 2 -inf 2 nan N N # log10(x + i*nan) = nan+i*nan for finite x 0 0 2 nan 2 nan 2 1 2 nan N N 0 0 2 nan 2 nan 2 +0 2 nan N N 0 0 2 nan 2 nan 2 -0 2 nan N N 0 0 2 nan 2 nan 2 -1 2 nan N N # log10(x + i*inf) = +inf + i*pi/2/log(10) for finite x 0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 1 2 +inf N N 0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 +0 2 +inf N N 0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 -0 2 +inf N N 0 + 2 +inf 53 +0x15d47c4cb2fba1p-53 2 -1 2 +inf N N # by [conj]: log10(x - i*inf) = +inf - i*pi/2/log(10) for finite x 0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 1 2 -inf N N 0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 +0 2 -inf N N 0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 -0 2 -inf N N 0 - 2 +inf 53 -0x15d47c4cb2fba1p-53 2 -1 2 -inf N N # log10(-inf + i*y) = +inf + i*pi/log(10) for finite positive-signed y 0 + 2 +inf 53 0x15d47c4cb2fba1p-52 2 -inf 2 1 N N 0 + 2 +inf 53 0x15d47c4cb2fba1p-52 2 -inf 2 +0 N N # by [conj]: log10(-inf+i*y) = +inf - i*pi/log(10) for finite negative-signed y 0 - 2 +inf 53 -0x15d47c4cb2fba1p-52 2 -inf 2 -1 N N 0 - 2 +inf 53 -0x15d47c4cb2fba1p-52 2 -inf 2 -0 N N # log10(+inf + i*y) = +inf + i*0 for finite positive-signed y 0 0 2 +inf 2 +0 2 +inf 2 1 N N 0 0 2 +inf 2 +0 2 +inf 2 +0 N N # by [conj]: log10(+inf + i*y) = +inf - i*0 for finite negative-signed y 0 0 2 +inf 2 -0 2 +inf 2 -1 N N 0 0 2 +inf 2 -0 2 +inf 2 -0 N N # log10(-inf + i*inf) = +inf + i*(3*pi/4)/log(10) 0 + 2 +inf 53 0x105f5d39863cb9p-52 2 -inf 2 +inf N N # by [conj]: log10(-inf - i*inf) = +inf - i*(3*pi/4)/log(10) 0 - 2 +inf 53 -0x105f5d39863cb9p-52 2 -inf 2 -inf N N # log10(+inf + i*inf) = +inf + i*(pi/4)/log(10) 0 + 2 +inf 53 0x15d47c4cb2fba1p-54 2 +inf 2 +inf N N # by [conj]: log10(+inf - i*inf) = +inf - i*(pi/4)/log(10) 0 - 2 +inf 53 -0x15d47c4cb2fba1p-54 2 +inf 2 -inf N N # log10(-0 + i*0) = -inf + i*pi/log(10) 0 + 2 -inf 53 +0x15d47c4cb2fba1p-52 2 -0 2 +0 N N 0 - 2 -inf 53 -0x15d47c4cb2fba1p-52 2 -0 2 -0 N N 0 + 2 -inf 53 +0x15d47c4cb2fba1p-52 2 -0 2 +0 N U 0 + 2 -inf 53 -0xaea3e26597ddp-47 2 -0 2 -0 N U 0 - 2 -inf 53 +0xaea3e26597ddp-47 2 -0 2 +0 N D 0 - 2 -inf 53 -0x15d47c4cb2fba1p-52 2 -0 2 -0 N D # log10(+0 + i*0) = -inf + i*0 0 0 2 -inf 2 +0 2 +0 2 +0 N N 0 0 2 -inf 2 -0 2 +0 2 -0 N N # log10(+1 +- i*0) = +0 +- i*0 0 0 2 +0 2 +0 2 1 2 +0 N N 0 0 2 +0 2 -0 2 1 2 -0 N N # log10(10 +- i*0) = 1 +- i*0 0 0 2 1 2 +0 4 10 2 +0 N N 0 0 2 1 2 -0 4 10 2 -0 N N # log10(100 +- i*0) = 1 +- i*0 0 0 2 2 2 +0 5 100 2 +0 N N 0 0 2 2 2 -0 5 100 2 -0 N N # log10(-1 +- i*0) = +0 +- i*pi/log(10) 0 + 2 +0 53 +0x15d47c4cb2fba1p-52 2 -1 2 +0 N N 0 - 2 +0 53 -0x15d47c4cb2fba1p-52 2 -1 2 -0 N N # log10(x + i*y) with either x or y zero and the other non-zero - 0 53 0x13afeb354b7d97p-52 2 0 5 0x11 2 0 N N - + 53 0x13afeb354b7d97p-52 53 0x15d47c4cb2fba1p-53 2 0 5 0x11 N N - + 53 0x1475c655fbc11p-48 53 0x15d47c4cb2fba1p-52 5 -0x13 2 +0 N N - - 53 0x1475c655fbc11p-48 53 -0x15d47c4cb2fba1p-52 5 -0x13 2 -0 N N - - 53 0x1475c655fbc11p-48 53 -0x15d47c4cb2fba1p-53 2 0 5 -0x13 N N - + 53 0x15c9a3209bf97fp-52 53 0x15d47c4cb2fba1p-52 5 -0x17 2 +0 Z U - - 53 0x15c9a3209bf97fp-52 53 -0x15d47c4cb2fba1p-52 5 -0x17 2 -0 N D + - 53 0x2b93464137f3p-45 53 0xaea3e26597ddp-47 5 -0x17 2 +0 U Z - - 53 0x15c9a3209bf97fp-52 53 -0x15d47c4cb2fba1p-52 5 -0x17 2 -0 D N - - 53 0x1d1cda1a0c996dp-52 53 0xaea3e26597ddp-47 7 -0x42 2 +0 Z D + + 53 0xe8e6d0d064cb7p-51 53 -0xaea3e26597ddp-47 7 -0x42 2 -0 N Z + + 53 0xe8e6d0d064cb7p-51 53 0x15d47c4cb2fba1p-52 7 -0x42 2 +0 U N - + 53 0x1d1cda1a0c996dp-52 53 -0xaea3e26597ddp-47 7 -0x42 2 -0 D U # huge values + 0 53 0x134413509f79ffp-44 2 0 2 0x1p1024 2 +0 U U + 0 53 0x134413509f79ffp-43 2 0 2 0x1p2048 2 +0 U U + 0 53 0x134413509f79ffp-42 2 0 2 0x1p4096 2 +0 U U + 0 53 0x134413509f79ffp-41 2 0 2 0x1p8192 2 +0 U U + 0 53 0x134413509f79ffp-40 2 0 2 0x1p16384 2 +0 U U + 0 53 0x134413509f79ffp-39 2 0 2 0x1p32768 2 +0 U U + 0 53 0x134413509f79ffp-38 2 0 2 0x1p65536 2 +0 U U + 0 53 0x134413509f79ffp-37 2 0 2 0x1p131072 2 +0 U U + 0 53 0x134413509f79ffp-36 2 0 2 0x1p262144 2 +0 U U + 0 53 0x134413509f79ffp-35 2 0 2 0x1p524288 2 +0 U U + 0 53 0x134413509f79ffp-34 2 0 2 0x1p1048576 2 +0 U U + 0 53 0x134413509f79ffp-33 2 0 2 0x1p2097152 2 +0 U U + 0 53 0x134413509f79ffp-32 2 0 2 0x1p4194304 2 +0 U U + 0 53 0x134413509f79ffp-31 2 0 2 0x1p8388608 2 +0 U U + 0 53 0x134413509f79ffp-30 2 0 2 0x1p16777216 2 +0 U U + 0 53 0x134413509f79ffp-29 2 0 2 0x1p33554432 2 +0 U U + 0 53 0x134413509f79ffp-28 2 0 2 0x1p67108864 2 +0 U U + 0 53 0x134413509f79ffp-27 2 0 2 0x1p134217728 2 +0 U U + 0 53 0x134413509f79ffp-26 2 0 2 0x1p268435456 2 +0 U U + 0 53 0x134413509f79ffp-25 2 0 2 0x1p536870912 2 +0 U U + + 53 0x13467bd3098defp-44 53 0x15d47c4cb2fba1p-54 2 0x1p1024 2 0x1p1024 U U + + 53 0x13454791d483f7p-43 53 0x15d47c4cb2fba1p-54 2 0x1p2048 2 0x1p2048 U U + + 53 0x1344ad7139fefbp-42 53 0x15d47c4cb2fba1p-54 2 0x1p4096 2 0x1p4096 U U + + 53 0x13446060ecbc7dp-41 53 0x15d47c4cb2fba1p-54 2 0x1p8192 2 0x1p8192 U U + + 53 0x9a21cec630d9fp-39 53 0x15d47c4cb2fba1p-54 2 0x1p16384 2 0x1p16384 U U + + 53 0x13442694b2ca9fp-39 53 0x15d47c4cb2fba1p-54 2 0x1p32768 2 0x1p32768 U U + + 53 0x13441cf2a9224fp-38 53 0x15d47c4cb2fba1p-54 2 0x1p65536 2 0x1p65536 U U + + 53 0x13441821a44e27p-37 2 0x3p-3 2 0x1p131072 2 0x1p131072 U U + + 53 0x134415b921e413p-36 2 0x3p-3 2 0x1p262144 2 0x1p262144 U U + + 53 0x13441484e0af09p-35 2 0x3p-3 2 0x1p524288 2 0x1p524288 U U + + 53 0x4d104fab00521p-32 2 0x3p-3 2 0x1p1048576 2 0x1p1048576 U U + + 53 0x9a209ced7e3a1p-32 2 0x3p-3 2 0x1p2097152 2 0x1p2097152 U U + + 53 0x1344137727a0a1p-32 2 0x3p-3 2 0x1p4194304 2 0x1p4194304 U U + + 53 0x13441363e38d5p-27 2 0x3p-3 2 0x1p8388608 2 0x1p8388608 U U + + 53 0x268826b483075p-27 2 0x3p-3 2 0x1p16777216 2 0x1p16777216 U U + + 53 0x4d104d55c1fb5p-27 2 0x3p-3 2 0x1p33554432 2 0x1p33554432 U U + + 53 0x9a209a983fe35p-27 2 0x3p-3 2 0x1p67108864 2 0x1p67108864 U U + + 53 0x4d104d474eecdp-25 2 0x3p-3 2 0x1p134217728 2 0x1p134217728 U U + + 53 0x9a209a89ccd4dp-25 2 0x3p-3 2 0x1p268435456 2 0x1p268435456 U U # Due to intermediate overflow, the following result has wrong real part # instead of the correct result. Since this may happen in other parts of the # library as well, we do not consider it a bug for the moment. # + + 53 0x13441350ec8a4dp-25 2 0x3p-3 2 0x1p536870912 2 0x1p536870912 U U # log10(3+I) has an exact real part (from Joseph S. Myers) 0 + 53 0.5 53 0x8f168ee8415e7p-54 2 3 2 1 N N # bug found by Mickael Gastineau on 29 Sep 2012 0 + 2 +0 2 0.75 2 +0 2 1 N N 0 - 2 +0 2 -0.75 2 +0 2 -1 N N mpc-1.3.1/tests/tconj.c0000644000175100017460000000232513227377425011663 00000000000000/* tconj -- test file for mpc_conj. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_conj (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_conj (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("conj.dsc", "conj.dat"); tgeneric_template ("conj.dsc", 2, 1024, 1, 0); test_end (); return 0; } mpc-1.3.1/tests/sub_ui.dsc0000644000175100017460000000160313227377425012361 00000000000000# Description file for mpc_sub_ui # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_sub_ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/pow_si.dsc0000644000175100017460000000161413227377425012375 00000000000000# Description file for mpc_pow_si # # Copyright (C) 2008, 2010, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_pow_si RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr long int mpc_rnd_t mpc-1.3.1/tests/tfr_sub.c0000644000175100017460000000237313227377425012215 00000000000000/* tfr_div -- test file for mpc_fr_sub. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_fr_sub (P[1].mpc, P[2].mpfr, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_fr_sub (P[1].mpc, P[2].mpfr, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start(); data_check_template ("fr_sub.dsc", "fr_sub.dat"); tgeneric_template ("fr_sub.dsc", 2, 4096, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/tui_ui_sub.c0000644000175100017460000000231213227377425012711 00000000000000/* tui_ui_sub -- test file for mpc_ui_ui_sub. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_ui_ui_sub (P[1].mpc, P[2].ui, P[3].ui, P[4].mpc, P[5].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP3 \ P[0].mpc_inex = mpc_ui_ui_sub (P[1].mpc, P[2].ui, P[3].ui, P[4].mpc, P[5].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("ui_ui_sub.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/tdot.c0000644000175100017460000000544413717736770011533 00000000000000/* tdot -- test file for mpc_dot. Copyright (C) 2018, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void check_special (void) { mpc_t z[3], res; mpc_ptr t[3]; int i, inex; /* z[0] = (1,2), z[1] = (2,3), z[2] = (3,4) */ for (i = 0; i < 3; i++) { mpc_init2 (z[i], 17); mpc_set_ui_ui (z[i], i+1, i+2, MPC_RNDNN); t[i] = z[i]; } mpc_init2 (res, 17); /* dot product of empty vectors is 0 */ inex = mpc_dot (res, t, t, 0, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_zero_p (mpc_realref (res))); MPC_ASSERT (mpfr_zero_p (mpc_imagref (res))); MPC_ASSERT (mpfr_signbit (mpc_realref (res)) == 0); MPC_ASSERT (mpfr_signbit (mpc_imagref (res)) == 0); /* (1,2)*(1,2) = (-3,4) */ inex = mpc_dot (res, t, t, 1, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_regular_p (mpc_realref (res))); MPC_ASSERT (mpfr_regular_p (mpc_imagref (res))); MPC_ASSERT (mpfr_cmp_si (mpc_realref (res), -3) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 4) == 0); /* (1,2)*(1,2) + (2,3)*(2,3) = (-8,16) */ inex = mpc_dot (res, t, t, 2, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_regular_p (mpc_realref (res))); MPC_ASSERT (mpfr_regular_p (mpc_imagref (res))); MPC_ASSERT (mpfr_cmp_si (mpc_realref (res), -8) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 16) == 0); /* (1,2)*(1,2) + (2,3)*(2,3) + (3,4)*(3,4) = (-15,40) */ inex = mpc_dot (res, t, t, 3, MPC_RNDNN); MPC_ASSERT (inex == 0); MPC_ASSERT (mpfr_regular_p (mpc_realref (res))); MPC_ASSERT (mpfr_regular_p (mpc_imagref (res))); MPC_ASSERT (mpfr_cmp_si (mpc_realref (res), -15) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (res), 40) == 0); for (i = 0; i < 3; i++) mpc_clear (z[i]); mpc_clear (res); } /* bug reported by Trevor Spiteri */ static void bug20200717 (void) { mpc_t a; mpc_ptr p[1]; mpc_init2 (a, 53); mpc_set_ui_ui (a, 1, 2, MPC_RNDNN); p[0] = a; mpc_dot (a, p, p, 1, MPC_RNDNN); MPC_ASSERT (mpfr_cmp_si (mpc_realref (a), -3) == 0); MPC_ASSERT (mpfr_cmp_ui (mpc_imagref (a), 4) == 0); mpc_clear (a); } int main (void) { test_start (); bug20200717 (); check_special (); test_end (); return 0; } mpc-1.3.1/tests/acos.dsc0000644000175100017460000000150513227377425012021 00000000000000# Description file for mpc_acos # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_acos RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/pow.dsc0000644000175100017460000000156513227377425011707 00000000000000# Description file for mpc_pow # # Copyright (C) 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_pow RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tadd_ui.c0000644000175100017460000000354113227377425012160 00000000000000/* tadd_ui -- test file for mpc_add_ui. Copyright (C) 2008, 2010, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void check_ternary_value (void) { mpfr_prec_t prec; mpc_t z; mpc_init2 (z, 2); for (prec=2; prec <= 1024; prec++) { mpc_set_prec (z, prec); mpc_set_ui (z, 1, MPC_RNDNN); if (mpc_add_ui (z, z, 1, MPC_RNDNZ)) { printf ("Error in mpc_add_ui: 1+1 should be exact\n"); exit (1); } mpc_set_ui (z, 1, MPC_RNDNN); mpc_mul_2ui (z, z, (unsigned long int) prec, MPC_RNDNN); if (mpc_add_ui (z, z, 1, MPC_RNDNN) == 0) { printf ("Error in mpc_add_ui: 2^prec+1 cannot be exact\n"); exit (1); } } mpc_clear (z); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_add_ui (P[1].mpc, P[2].mpc, P[3].ui, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_add_ui (P[1].mpc, P[1].mpc, P[3].ui, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); check_ternary_value (); tgeneric_template ("add_ui.dsc", 2, 1024, 1, 1024); test_end (); return 0; } mpc-1.3.1/tests/tanh.dsc0000644000175100017460000000150513227377425012026 00000000000000# Description file for mpc_tanh # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_tanh RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/log10.dsc0000644000175100017460000000150713227377425012020 00000000000000# Description file for mpc_log10 # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_log10 RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tproj.c0000644000175100017460000000233013227377425011700 00000000000000/* tproj -- test file for mpc_proj. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_proj (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_proj (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("proj.dsc", "proj.dat"); tgeneric_template ("proj.dsc", 2, 1024, 1, 4096); test_end (); return 0; } mpc-1.3.1/tests/tdiv_fr.c0000644000175100017460000000237613227377425012211 00000000000000/* tdiv_fr.c -- test file for mpc_div_fr. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_div_fr (P[1].mpc, P[2].mpc, P[3].mpfr, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_div_fr (P[1].mpc, P[1].mpc, P[3].mpfr, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("div_fr.dsc", "div_fr.dat"); tgeneric_template ("div_fr.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/teta.c0000644000175100017460000001040314345603441011467 00000000000000/* teta -- test file for the Dedekind eta function. Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void mpcb_j_err (mpcb_ptr j, mpc_srcptr z, unsigned long int err_re, unsigned long int err_im) /* Compute the j-function in z; err_re and err_im have the same meaning as in mpcb_eta_err. */ { const mpfr_prec_t p = mpc_get_prec (z); mpc_t z2; mpcb_t eta, eta2, sixteen; mpc_init2 (z2, p); mpcb_init (eta); mpcb_init (eta2); mpcb_init (sixteen); /* Compute f1 (z) = eta (z/2) / eta (z). */ mpcb_eta_err (eta, z, err_re, err_im); mpc_div_2ui (z2, z, 1, MPC_RNDNN); mpcb_eta_err (eta2, z2, err_re, err_im); mpcb_div (eta, eta2, eta); /* Compute gamma2 = (f1^24 + 16) / f1^8. */ mpcb_set_ui_ui (sixteen, 16, 0, p); mpcb_pow_ui (eta, eta, 8); mpcb_pow_ui (eta2, eta, 3); mpcb_add (eta2, eta2, sixteen); mpcb_div (eta2, eta2, eta); /* Compute j = gamma2^3. */ mpcb_pow_ui (j, eta2, 3); mpc_clear (z2); mpcb_clear (eta); mpcb_clear (eta2); mpcb_clear (sixteen); } static int test_eta (void) { const mpfr_prec_t p = 300; mpc_t z, eta; mpcb_t j; mpfr_t fuzz; mpz_t re_z, tmp; long int re, im; int ok; mpc_init2 (z, p); mpc_init2 (eta, p); mpcb_init (j); mpfr_init2 (fuzz, 2*p); mpfr_set_si (mpc_realref (z), -1, MPFR_RNDN); mpfr_set_ui (mpc_imagref (z), 163, MPFR_RNDD); mpfr_sqrt (mpc_imagref (z), mpc_imagref (z), MPFR_RNDD); mpc_div_2ui (z, z, 1, MPC_RNDNN); /* Check whether mpc_eta_fund avoids an infinite loop. */ mpc_eta_fund (eta, z, MPC_RNDNN); /* The error is bounded by 1/2 ulp in the real and 3 ulp in the imaginary part, see algorithms.tex. */ mpcb_j_err (j, z, 1, 6); /* Check whether j ((-1+sqrt(-163))/2) equals -262537412640768000. Rounding is impossible since the result is exact, and the imaginary part is 0; for a quick and dirty check, add the non-representable number 0.1 + 1.1 I and use the precisions that just work. */ mpfr_set_ui (fuzz, 1, MPFR_RNDN); mpfr_div_ui (fuzz, fuzz, 10, MPFR_RNDN); mpfr_add (mpc_realref (j->c), mpc_realref (j->c), fuzz, MPFR_RNDN); mpfr_add (mpc_imagref (j->c), mpc_imagref (j->c), fuzz, MPFR_RNDN); mpfr_add_ui (mpc_imagref (j->c), mpc_imagref (j->c), 1, MPFR_RNDN); ok = mpcb_can_round (j, 291, 234, MPC_RNDNN); mpcb_round (z, j, MPC_RNDNN); mpz_init (re_z); mpz_init_set_str (tmp, "-262537412640768000", 10); mpfr_get_z (re_z, mpc_realref (z), MPFR_RNDN); im = mpfr_get_si (mpc_imagref (z), MPFR_RNDN); ok &= (!mpz_cmp (re_z, tmp) && im == 1); if (!ok) { printf ("Error for -163:\n"); MPC_OUT (z); mpz_out_str (stdout, 10, re_z); printf ("\n"); } mpz_clear (tmp); mpz_clear (re_z); /* Check whether mpc_eta_fund (I) avoids an infinite loop. */ mpc_set_ui_ui (z, 0, 1, MPC_RNDNN); mpc_eta_fund (eta, z, MPC_RNDNN); /* Check whether j (I) equals 1728. */ mpcb_j_err (j, z, 0, 0); mpfr_add (mpc_realref (j->c), mpc_realref (j->c), fuzz, MPFR_RNDN); mpfr_add (mpc_imagref (j->c), mpc_imagref (j->c), fuzz, MPFR_RNDN); mpfr_add_ui (mpc_imagref (j->c), mpc_imagref (j->c), 1, MPFR_RNDN); ok &= mpcb_can_round (j, 292, 282, MPC_RNDNN); mpcb_round (z, j, MPC_RNDNN); re = mpfr_get_si (mpc_realref (z), MPFR_RNDN); im = mpfr_get_si (mpc_imagref (z), MPFR_RNDN); ok &= (re == 1728 && im == 1); if (!ok) { printf ("Error for -4:\n"); MPC_OUT (z); printf ("%li\n", re); } mpc_clear (eta); mpc_clear (z); mpcb_clear (j); mpfr_clear (fuzz); return !ok; } int main (void) { return test_eta (); } mpc-1.3.1/tests/tpl_mpc.c0000644000175100017460000000377713227377425012220 00000000000000/* tpl_mpc.c -- Helper functions for mpc data. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" void tpl_read_mpc_rnd (mpc_datafile_context_t* datafile_context, mpc_rnd_t* rnd) { mpfr_rnd_t re, im; tpl_read_mpfr_rnd (datafile_context, &re); tpl_read_mpfr_rnd (datafile_context, &im); *rnd = MPC_RND (re, im); } void tpl_read_mpc (mpc_datafile_context_t* datafile_context, mpc_data_t* z) { tpl_read_mpfr (datafile_context, mpc_realref (z->mpc), &z->known_sign_real); tpl_read_mpfr (datafile_context, mpc_imagref (z->mpc), &z->known_sign_imag); } void tpl_read_mpc_inex (mpc_datafile_context_t* datafile_context, mpc_inex_data_t *ternarypair) { tpl_read_ternary(datafile_context, &ternarypair->real); tpl_read_ternary(datafile_context, &ternarypair->imag); } void tpl_copy_mpc (mpc_ptr dest, mpc_srcptr src) { /* source and destination are assumed to be of the same precision , so the copy is exact (no rounding) */ mpc_set (dest, src, MPC_RNDNN); } int tpl_check_mpc_data (mpc_ptr got, mpc_data_t expected) { return tpl_same_mpfr_value (mpc_realref (got), mpc_realref (expected.mpc), expected.known_sign_real) && tpl_same_mpfr_value (mpc_imagref (got), mpc_imagref (expected.mpc), expected.known_sign_imag); } mpc-1.3.1/tests/fr_sub.dsc0000644000175100017460000000153113227377425012353 00000000000000# Description file for mpc_fr_sub # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_fr_sub RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpfr_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/ui_div.dsc0000644000175100017460000000154313227377425012355 00000000000000# Description file for mpc_ui_div # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_ui_div RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: unsigned long int mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/mul_2si.dsc0000644000175100017460000000154513227377425012452 00000000000000# Description file for mpc_mul_2si # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_mul_2si RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/sinh.dat0000644000175100017460000000631212426164730012026 00000000000000# Data file for mpc_sinh. # # Copyright (C) 2008, 2010 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see sin.dat. # special values (following ISO C99 standard) 0 0 7 inf 7 NaN 7 -inf 7 -inf N N 0 0 7 -inf 7 -inf 7 -inf 7 -1 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 1 N N 0 0 7 inf 7 NaN 7 -inf 7 +inf N N 0 0 7 inf 7 NaN 7 -inf 7 NaN N N 0 0 7 NaN 7 NaN 7 -1 7 -inf N N 0 0 7 NaN 7 NaN 7 -1 7 +inf N N 0 0 7 NaN 7 NaN 7 -1 7 NaN N N 0 0 7 0 7 NaN 7 -0 7 -inf N N 0 0 7 -0 7 -0 7 -0 7 -0 N N 0 0 7 -0 7 +0 7 -0 7 +0 N N 0 0 7 0 7 NaN 7 -0 7 +inf N N 0 0 7 0 7 NaN 7 -0 7 NaN N N 0 0 7 0 7 NaN 7 +0 7 -inf N N 0 0 7 +0 7 -0 7 +0 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 +0 N N 0 0 7 0 7 NaN 7 +0 7 +inf N N 0 0 7 0 7 NaN 7 +0 7 NaN N N 0 0 7 NaN 7 NaN 7 1 7 -inf N N 0 0 7 NaN 7 NaN 7 1 7 +inf N N 0 0 7 NaN 7 NaN 7 1 7 NaN N N 0 0 7 inf 7 NaN 7 +inf 7 -inf N N 0 0 7 +inf 7 -inf 7 +inf 7 -1 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 N N 0 0 7 +inf 7 +inf 7 +inf 7 1 N N 0 0 7 inf 7 NaN 7 +inf 7 +inf N N 0 0 7 inf 7 NaN 7 +inf 7 NaN N N 0 0 7 NaN 7 NaN 7 NaN 7 -inf N N 0 0 7 NaN 7 NaN 7 NaN 7 -1 N N 0 0 7 NaN 7 -0 7 NaN 7 -0 N N 0 0 7 NaN 7 +0 7 NaN 7 +0 N N 0 0 7 NaN 7 NaN 7 NaN 7 1 N N 0 0 7 NaN 7 NaN 7 NaN 7 +inf N N 0 0 7 NaN 7 NaN 7 NaN 7 NaN N N # purely real argument + 0 50 -0x12cd9fc44eb98p-48 50 -0 7 -1 7 -0 N N + 0 50 -0x12cd9fc44eb98p-48 50 +0 7 -1 7 +0 N N - 0 50 0x12cd9fc44eb98p-48 50 -0 7 1 7 -0 N N - 0 50 0x12cd9fc44eb98p-48 50 +0 7 1 7 +0 N N # purely imaginary argument 0 - 50 -0 50 -0xd76aa47848678p-52 7 -0 7 -1 N N 0 + 50 -0 50 0xd76aa47848678p-52 7 -0 7 1 N N 0 - 50 +0 50 -0xd76aa47848678p-52 7 +0 7 -1 N N 0 + 50 +0 50 0xd76aa47848678p-52 7 +0 7 1 N N # values with +1 and -1 + - 50 -0xa28cfec023fc8p-52 50 -0x14c67b74f6cc5p-48 7 -1 7 -1 N N + + 50 -0xa28cfec023fc8p-52 50 0x14c67b74f6cc5p-48 7 -1 7 1 N N - - 50 0xa28cfec023fc8p-52 50 -0x14c67b74f6cc5p-48 7 1 7 -1 N N - + 50 0xa28cfec023fc8p-52 50 0x14c67b74f6cc5p-48 7 1 7 1 N N # IEEE-754 double precision - - 53 0xF48D4FDF29C53p-105 53 2 53 0x15124271980435p-52 53 0x3243F6A8885A3p-49 N N # huge values + - 53 +inf 53 -inf 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N + + 53 +inf 53 +inf 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N mpc-1.3.1/tests/mul_fr.dat0000644000175100017460000004110612426164730012351 00000000000000# Data file for mpc_mul_fr. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add_fr.dat. # special values 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -inf N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 nan N N 0 0 7 +inf 7 +inf 7 -inf 7 -1 7 -inf N N 0 0 7 +inf 7 1 7 -inf 7 -1 7 -1 N N 0 0 7 nan 7 +0 7 -inf 7 -1 7 -0 N N 0 0 7 nan 7 -0 7 -inf 7 -1 7 +0 N N 0 0 7 -inf 7 -1 7 -inf 7 -1 7 1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -1 7 nan N N 0 0 7 +inf 7 nan 7 -inf 7 -0 7 -inf N N 0 0 7 +inf 7 +0 7 -inf 7 -0 7 -1 N N 0 0 7 nan 7 +0 7 -inf 7 -0 7 -0 N N 0 0 7 nan 7 -0 7 -inf 7 -0 7 +0 N N 0 0 7 -inf 7 -0 7 -inf 7 -0 7 1 N N 0 0 7 -inf 7 nan 7 -inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -0 7 nan N N 0 0 7 +inf 7 nan 7 -inf 7 +0 7 -inf N N 0 0 7 +inf 7 -0 7 -inf 7 +0 7 -1 N N 0 0 7 nan 7 -0 7 -inf 7 +0 7 -0 N N 0 0 7 nan 7 +0 7 -inf 7 +0 7 +0 N N 0 0 7 -inf 7 +0 7 -inf 7 +0 7 1 N N 0 0 7 -inf 7 nan 7 -inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 +0 7 nan N N 0 0 7 +inf 7 -inf 7 -inf 7 1 7 -inf N N 0 0 7 +inf 7 -1 7 -inf 7 1 7 -1 N N 0 0 7 nan 7 -0 7 -inf 7 1 7 -0 N N 0 0 7 nan 7 +0 7 -inf 7 1 7 +0 N N 0 0 7 -inf 7 1 7 -inf 7 1 7 1 N N 0 0 7 -inf 7 +inf 7 -inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan N N 0 0 7 +inf 7 -inf 7 -inf 7 +inf 7 -inf N N 0 0 7 +inf 7 -inf 7 -inf 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 -inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 -inf 7 nan 7 -inf N N 0 0 7 +inf 7 nan 7 -inf 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 +0 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 -inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 nan 7 nan N N 0 0 7 +inf 7 +inf 7 -1 7 -inf 7 -inf N N 0 0 7 1 7 +inf 7 -1 7 -inf 7 -1 N N 0 0 7 +0 7 nan 7 -1 7 -inf 7 -0 N N 0 0 7 -0 7 nan 7 -1 7 -inf 7 +0 N N 0 0 7 -1 7 -inf 7 -1 7 -inf 7 1 N N 0 0 7 -inf 7 -inf 7 -1 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -inf 7 nan N N 0 0 7 +inf 7 +inf 7 -1 7 -1 7 -inf N N 0 0 7 -inf 7 -inf 7 -1 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -1 7 nan N N 0 0 7 +inf 7 nan 7 -1 7 -0 7 -inf N N 0 0 7 -inf 7 nan 7 -1 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 -0 7 nan N N 0 0 7 +inf 7 nan 7 -1 7 +0 7 -inf N N 0 0 7 -inf 7 nan 7 -1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 +0 7 nan N N 0 0 7 +inf 7 -inf 7 -1 7 1 7 -inf N N 0 0 7 -inf 7 +inf 7 -1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 1 7 nan N N 0 0 7 +inf 7 -inf 7 -1 7 +inf 7 -inf N N 0 0 7 1 7 -inf 7 -1 7 +inf 7 -1 N N 0 0 7 +0 7 nan 7 -1 7 +inf 7 -0 N N 0 0 7 -0 7 nan 7 -1 7 +inf 7 +0 N N 0 0 7 -1 7 +inf 7 -1 7 +inf 7 1 N N 0 0 7 -inf 7 +inf 7 -1 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 +inf 7 nan N N 0 0 7 +inf 7 nan 7 -1 7 nan 7 -inf N N 0 0 7 1 7 nan 7 -1 7 nan 7 -1 N N 0 0 7 +0 7 nan 7 -1 7 nan 7 -0 N N 0 0 7 -0 7 nan 7 -1 7 nan 7 +0 N N 0 0 7 -1 7 nan 7 -1 7 nan 7 1 N N 0 0 7 -inf 7 nan 7 -1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -1 7 nan 7 nan N N 0 0 7 nan 7 +inf 7 -0 7 -inf 7 -inf N N 0 0 7 +0 7 +inf 7 -0 7 -inf 7 -1 N N 0 0 7 +0 7 nan 7 -0 7 -inf 7 -0 N N 0 0 7 -0 7 nan 7 -0 7 -inf 7 +0 N N 0 0 7 -0 7 -inf 7 -0 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 -0 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -inf 7 nan N N 0 0 7 nan 7 +inf 7 -0 7 -1 7 -inf N N 0 0 7 nan 7 -inf 7 -0 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -1 7 nan N N 0 0 7 nan 7 nan 7 -0 7 -0 7 -inf N N 0 0 7 nan 7 nan 7 -0 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 -0 7 nan N N 0 0 7 nan 7 nan 7 -0 7 +0 7 -inf N N 0 0 7 nan 7 nan 7 -0 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 +0 7 nan N N 0 0 7 nan 7 -inf 7 -0 7 1 7 -inf N N 0 0 7 nan 7 +inf 7 -0 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 1 7 nan N N 0 0 7 nan 7 -inf 7 -0 7 +inf 7 -inf N N 0 0 7 +0 7 -inf 7 -0 7 +inf 7 -1 N N 0 0 7 +0 7 nan 7 -0 7 +inf 7 -0 N N 0 0 7 -0 7 nan 7 -0 7 +inf 7 +0 N N 0 0 7 -0 7 +inf 7 -0 7 +inf 7 1 N N 0 0 7 nan 7 +inf 7 -0 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 -0 7 nan 7 -inf N N 0 0 7 +0 7 nan 7 -0 7 nan 7 -1 N N 0 0 7 +0 7 nan 7 -0 7 nan 7 -0 N N 0 0 7 -0 7 nan 7 -0 7 nan 7 +0 N N 0 0 7 -0 7 nan 7 -0 7 nan 7 1 N N 0 0 7 nan 7 nan 7 -0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -0 7 nan 7 nan N N 0 0 7 nan 7 +inf 7 +0 7 -inf 7 -inf N N 0 0 7 -0 7 +inf 7 +0 7 -inf 7 -1 N N 0 0 7 -0 7 nan 7 +0 7 -inf 7 -0 N N 0 0 7 +0 7 nan 7 +0 7 -inf 7 +0 N N 0 0 7 +0 7 -inf 7 +0 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 +0 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -inf 7 nan N N 0 0 7 nan 7 +inf 7 +0 7 -1 7 -inf N N 0 0 7 nan 7 -inf 7 +0 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -1 7 nan N N 0 0 7 nan 7 nan 7 +0 7 -0 7 -inf N N 0 0 7 nan 7 nan 7 +0 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 -0 7 nan N N 0 0 7 nan 7 nan 7 +0 7 +0 7 -inf N N 0 0 7 nan 7 nan 7 +0 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 +0 7 nan N N 0 0 7 nan 7 -inf 7 +0 7 1 7 -inf N N 0 0 7 nan 7 +inf 7 +0 7 1 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 1 7 nan N N 0 0 7 nan 7 -inf 7 +0 7 +inf 7 -inf N N 0 0 7 -0 7 -inf 7 +0 7 +inf 7 -1 N N 0 0 7 -0 7 nan 7 +0 7 +inf 7 -0 N N 0 0 7 +0 7 nan 7 +0 7 +inf 7 +0 N N 0 0 7 +0 7 +inf 7 +0 7 +inf 7 1 N N 0 0 7 nan 7 +inf 7 +0 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 +0 7 nan 7 -inf N N 0 0 7 -0 7 nan 7 +0 7 nan 7 -1 N N 0 0 7 -0 7 nan 7 +0 7 nan 7 -0 N N 0 0 7 +0 7 nan 7 +0 7 nan 7 +0 N N 0 0 7 +0 7 nan 7 +0 7 nan 7 1 N N 0 0 7 nan 7 nan 7 +0 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +0 7 nan 7 nan N N 0 0 7 -inf 7 +inf 7 1 7 -inf 7 -inf N N 0 0 7 -1 7 +inf 7 1 7 -inf 7 -1 N N 0 0 7 -0 7 nan 7 1 7 -inf 7 -0 N N 0 0 7 +0 7 nan 7 1 7 -inf 7 +0 N N 0 0 7 1 7 -inf 7 1 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 1 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -inf 7 nan N N 0 0 7 -inf 7 +inf 7 1 7 -1 7 -inf N N 0 0 7 +inf 7 -inf 7 1 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -1 7 nan N N 0 0 7 -inf 7 nan 7 1 7 -0 7 -inf N N 0 0 7 +inf 7 nan 7 1 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 1 7 -0 7 nan N N 0 0 7 -inf 7 nan 7 1 7 +0 7 -inf N N 0 0 7 +inf 7 nan 7 1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 1 7 +0 7 nan N N 0 0 7 -inf 7 -inf 7 1 7 1 7 -inf N N 0 0 7 +inf 7 +inf 7 1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 1 7 1 7 nan N N 0 0 7 -inf 7 -inf 7 1 7 +inf 7 -inf N N 0 0 7 -1 7 -inf 7 1 7 +inf 7 -1 N N 0 0 7 -0 7 nan 7 1 7 +inf 7 -0 N N 0 0 7 +0 7 nan 7 1 7 +inf 7 +0 N N 0 0 7 1 7 +inf 7 1 7 +inf 7 1 N N 0 0 7 +inf 7 +inf 7 1 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 1 7 +inf 7 nan N N 0 0 7 -inf 7 nan 7 1 7 nan 7 -inf N N 0 0 7 -1 7 nan 7 1 7 nan 7 -1 N N 0 0 7 -0 7 nan 7 1 7 nan 7 -0 N N 0 0 7 +0 7 nan 7 1 7 nan 7 +0 N N 0 0 7 1 7 nan 7 1 7 nan 7 1 N N 0 0 7 +inf 7 nan 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 1 7 nan 7 nan N N 0 0 7 -inf 7 +inf 7 +inf 7 -inf 7 -inf N N 0 0 7 -inf 7 +inf 7 +inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 +0 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -inf 7 nan N N 0 0 7 -inf 7 +inf 7 +inf 7 -1 7 -inf N N 0 0 7 -inf 7 1 7 +inf 7 -1 7 -1 N N 0 0 7 nan 7 +0 7 +inf 7 -1 7 -0 N N 0 0 7 nan 7 -0 7 +inf 7 -1 7 +0 N N 0 0 7 +inf 7 -1 7 +inf 7 -1 7 1 N N 0 0 7 +inf 7 -inf 7 +inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -1 7 nan N N 0 0 7 -inf 7 nan 7 +inf 7 -0 7 -inf N N 0 0 7 -inf 7 +0 7 +inf 7 -0 7 -1 N N 0 0 7 nan 7 +0 7 +inf 7 -0 7 -0 N N 0 0 7 nan 7 -0 7 +inf 7 -0 7 +0 N N 0 0 7 +inf 7 -0 7 +inf 7 -0 7 1 N N 0 0 7 +inf 7 nan 7 +inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 -0 7 nan N N 0 0 7 -inf 7 nan 7 +inf 7 +0 7 -inf N N 0 0 7 -inf 7 -0 7 +inf 7 +0 7 -1 N N 0 0 7 nan 7 -0 7 +inf 7 +0 7 -0 N N 0 0 7 nan 7 +0 7 +inf 7 +0 7 +0 N N 0 0 7 +inf 7 +0 7 +inf 7 +0 7 1 N N 0 0 7 +inf 7 nan 7 +inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +0 7 nan N N 0 0 7 -inf 7 -inf 7 +inf 7 1 7 -inf N N 0 0 7 -inf 7 -1 7 +inf 7 1 7 -1 N N 0 0 7 nan 7 -0 7 +inf 7 1 7 -0 N N 0 0 7 nan 7 +0 7 +inf 7 1 7 +0 N N 0 0 7 +inf 7 1 7 +inf 7 1 7 1 N N 0 0 7 +inf 7 +inf 7 +inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 1 7 nan N N 0 0 7 -inf 7 -inf 7 +inf 7 +inf 7 -inf N N 0 0 7 -inf 7 -inf 7 +inf 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 +0 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 1 N N 0 0 7 +inf 7 +inf 7 +inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 +inf 7 nan N N 0 0 7 -inf 7 nan 7 +inf 7 nan 7 -inf N N 0 0 7 -inf 7 nan 7 +inf 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 +0 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 1 N N 0 0 7 +inf 7 nan 7 +inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 +inf 7 nan 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 -inf 7 -inf N N 0 0 7 nan 7 +inf 7 nan 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 +0 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -inf 7 nan N N 0 0 7 nan 7 +inf 7 nan 7 -1 7 -inf N N 0 0 7 nan 7 1 7 nan 7 -1 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 -1 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 -1 7 +0 N N 0 0 7 nan 7 -1 7 nan 7 -1 7 1 N N 0 0 7 nan 7 -inf 7 nan 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 -0 7 -inf N N 0 0 7 nan 7 +0 7 nan 7 -0 7 -1 N N 0 0 7 nan 7 +0 7 nan 7 -0 7 -0 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 +0 N N 0 0 7 nan 7 -0 7 nan 7 -0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 -0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +0 7 -inf N N 0 0 7 nan 7 -0 7 nan 7 +0 7 -1 N N 0 0 7 nan 7 -0 7 nan 7 +0 7 -0 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 +0 N N 0 0 7 nan 7 +0 7 nan 7 +0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +0 7 nan N N 0 0 7 nan 7 -inf 7 nan 7 1 7 -inf N N 0 0 7 nan 7 -1 7 nan 7 1 7 -1 N N 0 0 7 nan 7 -0 7 nan 7 1 7 -0 N N 0 0 7 nan 7 +0 7 nan 7 1 7 +0 N N 0 0 7 nan 7 1 7 nan 7 1 7 1 N N 0 0 7 nan 7 +inf 7 nan 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -inf N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 1 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan N N # values with only 1, -1, +0, -0 0 0 7 1 7 1 7 -1 7 -1 7 -1 N N 0 0 7 +0 7 +0 7 -1 7 -1 7 -0 N N 0 0 7 -0 7 -0 7 -1 7 -1 7 +0 N N 0 0 7 -1 7 -1 7 -1 7 -1 7 1 N N 0 0 7 1 7 +0 7 -1 7 -0 7 -1 N N 0 0 7 +0 7 +0 7 -1 7 -0 7 -0 N N 0 0 7 -0 7 -0 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 -0 7 -1 7 -0 7 1 N N 0 0 7 1 7 -0 7 -1 7 +0 7 -1 N N 0 0 7 +0 7 -0 7 -1 7 +0 7 -0 N N 0 0 7 -0 7 +0 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 1 N N 0 0 7 1 7 -1 7 -1 7 1 7 -1 N N 0 0 7 +0 7 -0 7 -1 7 1 7 -0 N N 0 0 7 -0 7 +0 7 -1 7 1 7 +0 N N 0 0 7 -1 7 1 7 -1 7 1 7 1 N N 0 0 7 +0 7 1 7 -0 7 -1 7 -1 N N 0 0 7 +0 7 +0 7 -0 7 -1 7 -0 N N 0 0 7 -0 7 -0 7 -0 7 -1 7 +0 N N 0 0 7 -0 7 -1 7 -0 7 -1 7 1 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -1 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -0 N N 0 0 7 -0 7 -0 7 -0 7 -0 7 +0 N N 0 0 7 -0 7 -0 7 -0 7 -0 7 1 N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -1 N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -0 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 +0 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 1 N N 0 0 7 +0 7 -1 7 -0 7 1 7 -1 N N 0 0 7 +0 7 -0 7 -0 7 1 7 -0 N N 0 0 7 -0 7 +0 7 -0 7 1 7 +0 N N 0 0 7 -0 7 1 7 -0 7 1 7 1 N N 0 0 7 -0 7 1 7 +0 7 -1 7 -1 N N 0 0 7 -0 7 +0 7 +0 7 -1 7 -0 N N 0 0 7 +0 7 -0 7 +0 7 -1 7 +0 N N 0 0 7 +0 7 -1 7 +0 7 -1 7 1 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -1 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 1 N N 0 0 7 -0 7 -0 7 +0 7 +0 7 -1 N N 0 0 7 -0 7 -0 7 +0 7 +0 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 +0 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 1 N N 0 0 7 -0 7 -1 7 +0 7 1 7 -1 N N 0 0 7 -0 7 -0 7 +0 7 1 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 1 7 +0 N N 0 0 7 +0 7 1 7 +0 7 1 7 1 N N 0 0 7 -1 7 1 7 1 7 -1 7 -1 N N 0 0 7 -0 7 +0 7 1 7 -1 7 -0 N N 0 0 7 +0 7 -0 7 1 7 -1 7 +0 N N 0 0 7 1 7 -1 7 1 7 -1 7 1 N N 0 0 7 -1 7 +0 7 1 7 -0 7 -1 N N 0 0 7 -0 7 +0 7 1 7 -0 7 -0 N N 0 0 7 +0 7 -0 7 1 7 -0 7 +0 N N 0 0 7 1 7 -0 7 1 7 -0 7 1 N N 0 0 7 -1 7 -0 7 1 7 +0 7 -1 N N 0 0 7 -0 7 -0 7 1 7 +0 7 -0 N N 0 0 7 +0 7 +0 7 1 7 +0 7 +0 N N 0 0 7 1 7 +0 7 1 7 +0 7 1 N N 0 0 7 -1 7 -1 7 1 7 1 7 -1 N N 0 0 7 -0 7 -0 7 1 7 1 7 -0 N N 0 0 7 +0 7 +0 7 1 7 1 7 +0 N N 0 0 7 1 7 1 7 1 7 1 7 1 N N mpc-1.3.1/tests/tneg.c0000644000175100017460000000231613227377425011503 00000000000000/* tneg -- test file for mpc_neg. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_neg (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_neg (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("neg.dsc", "neg.dat"); tgeneric_template ("neg.dsc", 2, 1024, 1, 0); test_end (); return 0; } mpc-1.3.1/tests/tgeneric.tpl0000644000175100017460000002302413227377425012722 00000000000000/* tgeneric.tpl -- template file for generic tests. Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #ifndef MPC_FUNCTION_CALL #error Define MPC_FUNCTION_CALL before including 'data_check.tpl'. #endif /* helper functions, defined after tgeneric */ static int count_special_cases (mpc_fun_param_t *params); static void random_params (mpc_fun_param_t *params, mpfr_exp_t exp_min, mpfr_exp_t exp_max, int special); static void check_against_quadruple_precision (mpc_fun_param_t *params, mpfr_prec_t prec, mpfr_exp_t exp_min, mpfr_exp_t exp_max, int special); /* tgeneric(desc, prec_min, prec_max, step, exp_max) checks rounding with random numbers: - with precision ranging from prec_min to prec_max with an increment of step, - with exponent between -exp_max and exp_max. - for pure real, pure imaginary and infinite random parameters. It also checks parameter reuse. */ static void tgeneric_template (const char *description_file, mpfr_prec_t prec_min, mpfr_prec_t prec_max, mpfr_prec_t step, mpfr_exp_t exp_max) { int special = 0; int last_special; mpfr_prec_t prec; mpfr_exp_t exp_min; mpc_fun_param_t params; read_description (¶ms, description_file); init_parameters (¶ms); /* ask for enough memory */ set_output_precision (¶ms, 4 * prec_max); set_input_precision (¶ms, prec_max); set_reference_precision (¶ms, prec_max); /* sanity checks */ exp_min = mpfr_get_emin (); if (exp_max <= 0 || exp_max > mpfr_get_emax ()) exp_max = mpfr_get_emax(); if (-exp_max > exp_min) exp_min = - exp_max; if (step < 1) step = 1; /* check consistency with quadruple precision for random parameters */ for (prec = prec_min; prec <= prec_max; prec += step) check_against_quadruple_precision (¶ms, prec, exp_min, exp_max, -1); /* check consistency with quadruple precision for special values: pure real, pure imaginary, or infinite arguments */ last_special = count_special_cases (¶ms); for (special = 0; special < last_special ; special++) check_against_quadruple_precision (¶ms, prec_max, exp_min, exp_max, special); clear_parameters (¶ms); } static void check_against_quadruple_precision (mpc_fun_param_t *params, mpfr_prec_t prec, mpfr_exp_t exp_min, mpfr_exp_t exp_max, int special) { static int rand_counter = 0; mpc_operand_t *P = params->P; /* developer-friendly alias, used in macros */ set_input_precision (params, prec); set_reference_precision (params, prec); set_output_precision (params, 4 * prec); random_params (params, exp_min, exp_max, special); for (first_rnd_mode (params); is_valid_rnd_mode (params); next_rnd_mode (params)) { MPC_FUNCTION_CALL; while (double_rounding (params)) /* try another input parameters until no double rounding occurs when the extra-precise result is rounded to working precision */ { random_params (params, exp_min, exp_max, special); MPC_FUNCTION_CALL; } set_output_precision (params, prec); set_mpfr_flags (rand_counter); MPC_FUNCTION_CALL; check_mpfr_flags (rand_counter++); check_data (NULL, params, 0); #ifdef MPC_FUNCTION_CALL_SYMMETRIC MPC_FUNCTION_CALL_SYMMETRIC; check_data (NULL, params, 0); #endif #ifdef MPC_FUNCTION_CALL_REUSE_OP1 if (copy_parameter (params, 1, 2) == 0) { MPC_FUNCTION_CALL_REUSE_OP1; check_data (NULL, params, 2); } #endif #ifdef MPC_FUNCTION_CALL_REUSE_OP2 if (copy_parameter (params, 1, 3) == 0) { MPC_FUNCTION_CALL_REUSE_OP2; check_data (NULL, params, 3); } #endif #ifdef MPC_FUNCTION_CALL_REUSE_OP3 if (copy_parameter (params, 1, 4) == 0) { MPC_FUNCTION_CALL_REUSE_OP3; check_data (NULL, params, 4); } #endif set_output_precision (params, 4 * prec); } } /* special cases */ enum { SPECIAL_MINF, SPECIAL_MZERO, SPECIAL_PZERO, SPECIAL_PINF, SPECIAL_COUNT }; static int count_special_cases (mpc_fun_param_t *params) /* counts the number of possibilities of exactly one real or imaginary part of any input parameter being special, all others being finite real numbers */ { int i; const int start = params->nbout; const int end = start + params->nbin - 1; /* the last input parameter is the rounding mode */ int count = 0; for (i = start; i < end; i++) { if (params->T[i] == MPFR) count += SPECIAL_COUNT; else if (params->T[i] == MPC) /* special + i x random and random + i x special */ count += 2 * SPECIAL_COUNT; } return count; } static void special_mpfr (mpfr_ptr x, int special) { switch (special) { case SPECIAL_MINF: mpfr_set_inf (x, -1); break; case SPECIAL_MZERO: mpfr_set_zero (x, -1); break; case SPECIAL_PZERO: mpfr_set_zero (x, +1); break; case SPECIAL_PINF: mpfr_set_inf (x, +1); break; case SPECIAL_COUNT: /* does not occur */ break; } } static void special_random_mpc (mpc_ptr z, mpfr_exp_t exp_min, mpfr_exp_t exp_max, int special) { mpfr_ptr special_part; mpfr_ptr random_part; int mpfr_special; if (special < SPECIAL_COUNT) { mpfr_special = special; special_part = mpc_realref (z); random_part = mpc_imagref (z); } else { mpfr_special = special - SPECIAL_COUNT; special_part = mpc_imagref (z); random_part = mpc_realref (z); } special_mpfr (special_part, mpfr_special); test_random_mpfr (random_part, exp_min, exp_max, 128); } static void random_params (mpc_fun_param_t *params, mpfr_exp_t exp_min, mpfr_exp_t exp_max, int special) { int i; int base_index = 0; const int start = params->nbout; const int end = start + params->nbin; const unsigned int int_emax = 42; /* maximum binary exponent for random integer */ for (i = start; i < end; i++) { long int si; switch (params->T[i]) { case NATIVE_INT: test_random_si (&si, int_emax, 128); params->P[i].i = (int) si; break; case NATIVE_L: test_random_si (¶ms->P[i].si, int_emax, 128); break; case NATIVE_UL: test_random_si (&si, int_emax, 128); params->P[i].ui = (unsigned long)si; break; case NATIVE_D: test_random_d (¶ms->P[i].d, 128); break; case NATIVE_LD: case NATIVE_DC: case NATIVE_LDC: /* TODO: draw random value */ fprintf (stderr, "random_params: type not implemented.\n"); exit (1); break; case NATIVE_IM: case NATIVE_UIM: /* TODO: draw random value */ fprintf (stderr, "random_params: type not implemented.\n"); exit (1); break; case GMP_Z: /* TODO: draw random value */ fprintf (stderr, "random_params: type not implemented.\n"); exit (1); break; case GMP_Q: /* TODO: draw random value */ fprintf (stderr, "random_params: type not implemented.\n"); exit (1); break; case GMP_F: /* TODO: draw random value */ fprintf (stderr, "random_params: type not implemented.\n"); exit (1); break; case MPFR: if (base_index <= special && special - base_index < SPECIAL_COUNT) special_mpfr (params->P[i].mpfr, special - base_index); else test_random_mpfr (params->P[i].mpfr, exp_min, exp_max, 128); base_index += SPECIAL_COUNT; break; case MPC: if (base_index <= special && special - base_index < 2 * SPECIAL_COUNT) special_random_mpc (params->P[i].mpc, exp_min, exp_max, special - base_index); else test_random_mpc (params->P[i].mpc, exp_min, exp_max, 128); base_index += 2 * SPECIAL_COUNT; break; case NATIVE_STRING: case MPFR_INEX: case MPC_INEX: case MPCC_INEX: /* unsupported types */ fprintf (stderr, "random_params: unsupported type.\n"); exit (1); break; case MPFR_RND: case MPC_RND: /* just skip rounding mode(s) */ break; } } } mpc-1.3.1/tests/proj.dsc0000644000175100017460000000150513227377425012046 00000000000000# Description file for mpc_proj # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_proj RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/open_datafile.c0000644000175100017460000000347013227377425013342 00000000000000/* open_datafile.c -- Set up datafile context. Usage: Before including this template file in your source file, #define the prototype of the function under test in the CALL symbol, see tadd_tmpl.c for an example. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" void open_datafile (mpc_datafile_context_t* datafile_context, const char * data_filename) { char *src_dir; char default_srcdir[] = "."; src_dir = getenv ("srcdir"); if (src_dir == NULL) src_dir = default_srcdir; datafile_context->pathname = (char *) malloc ((strlen (src_dir)) + strlen (data_filename) + 2); if (datafile_context->pathname == NULL) { fprintf (stderr, "Cannot allocate memory\n"); exit (1); } sprintf (datafile_context->pathname, "%s/%s", src_dir, data_filename); datafile_context->fd = fopen (datafile_context->pathname, "r"); if (datafile_context->fd == NULL) { fprintf (stderr, "Unable to open %s\n", datafile_context->pathname); exit (1); } datafile_context->line_number = 1; datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } mpc-1.3.1/tests/conj.dsc0000644000175100017460000000160013227377425012021 00000000000000# Description file for mpc_conj # # Copyright (C) 2008, 2010, 2011, 2012, 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_conj RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tadd_si.c0000644000175100017460000000363213227377425012157 00000000000000/* tadd_si -- test file for mpc_add_si. Copyright (C) 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void check_ternary_value (void) { mpfr_prec_t prec; mpc_t z; const long int s = -1; mpc_init2 (z, 2); for (prec=2; prec <= 1024; prec++) { mpc_set_prec (z, prec); mpc_set_ui (z, 3ul, MPC_RNDNN); if (mpc_add_si (z, z, s, MPC_RNDDU)) { printf ("Error in mpc_add_si: 3+(-1) should be exact\n"); exit (1); } else if (mpc_cmp_si (z, 2l) != 0) { printf ("Error in mpc_add_si: 3+(-1) should be 2\n"); exit (1); } mpc_mul_2ui (z, z, (unsigned long int) prec, MPC_RNDNN); if (mpc_add_si (z, z, s, MPC_RNDNN) == 0) { printf ("Error in mpc_add_si: 2^(prec+1)-1 cannot be exact\n"); exit (1); } } mpc_clear (z); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_add_si (P[1].mpc, P[2].mpc, P[3].si, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_add_si (P[1].mpc, P[1].mpc, P[3].si, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); check_ternary_value (); tgeneric_template ("add_si.dsc", 2, 1024, 1, 1024); test_end (); return 0; } mpc-1.3.1/tests/tlog.c0000644000175100017460000000232513227377425011513 00000000000000/* tlog -- test file for mpc_log. Copyright (C) 2008, 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_log (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_log (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("log.dsc", "log.dat"); tgeneric_template ("log.dsc", 2, 512, 7, 128); test_end (); return 0; } mpc-1.3.1/tests/arg.dat0000644000175100017460000000607612426164730011645 00000000000000# Data file for mpc_arg. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX PREC_ROP ROP PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND # # where op = op_re + i * op_im. # See abs.dat for other details. # special values (following ISO C99 standard) + 53 -0x96CBE3F9990E9p-50 53 -inf 53 -inf N + 53 -0x3243F6A8885A3p-48 53 -inf 53 -1 N + 53 -0x3243F6A8885A3p-48 53 -inf 53 -0 N - 53 +0x3243F6A8885A3p-48 53 -inf 53 +0 N - 53 +0x3243F6A8885A3p-48 53 -inf 53 +1 N - 53 +0x96CBE3F9990E9p-50 53 -inf 53 +inf N 0 53 nan 53 -inf 53 nan N + 53 -0x3243F6A8885A3p-49 53 -1 53 -inf N + 53 -0x3243F6A8885A3p-48 53 -1 53 -0 N - 53 +0x3243F6A8885A3p-48 53 -1 53 +0 N - 53 +0x3243F6A8885A3p-49 53 -1 53 +inf N 0 53 nan 53 -1 53 nan N + 53 -0x3243F6A8885A3p-49 53 -0 53 -inf N + 53 -0x3243F6A8885A3p-49 53 -0 53 -1 N + 53 -0x3243F6A8885A3p-48 53 -0 53 -0 N - 53 +0x3243F6A8885A3p-48 53 -0 53 +0 N - 53 +0x3243F6A8885A3p-49 53 -0 53 +1 N - 53 +0x3243F6A8885A3p-49 53 -0 53 +inf N 0 53 nan 53 -0 53 nan N + 53 -0x3243F6A8885A3p-49 53 +0 53 -inf N + 53 -0x3243F6A8885A3p-49 53 +0 53 -1 N 0 53 -0 53 +0 53 -0 N 0 53 +0 53 +0 53 +0 N - 53 +0x3243F6A8885A3p-49 53 +0 53 +1 N - 53 +0x3243F6A8885A3p-49 53 +0 53 +inf N 0 53 nan 53 +0 53 nan N + 53 -0x3243F6A8885A3p-49 53 +1 53 -inf N 0 53 -0 53 +1 53 -0 N 0 53 +0 53 +1 53 +0 N - 53 +0x3243F6A8885A3p-49 53 +1 53 +inf N 0 53 nan 53 +1 53 nan N + 53 -0x3243F6A8885A3p-50 53 +inf 53 -inf N 0 53 -0 53 +inf 53 -1 N 0 53 -0 53 +inf 53 -0 N 0 53 +0 53 +inf 53 +0 N 0 53 +0 53 +inf 53 +1 N - 53 +0x3243F6A8885A3p-50 53 +inf 53 +inf N 0 53 nan 53 +inf 53 nan N 0 53 nan 53 nan 53 -inf N 0 53 nan 53 nan 53 -1 N 0 53 nan 53 nan 53 -0 N 0 53 nan 53 nan 53 +0 N 0 53 nan 53 nan 53 +1 N 0 53 nan 53 nan 53 +inf N 0 53 nan 53 nan 53 nan N mpc-1.3.1/tests/rounding.c0000644000175100017460000001110414345571363012365 00000000000000/* rounding.c -- file for functions iterating over rounding modes. Copyright (C) 2013, 2014, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" /* helper functions for iterating over mpfr rounding modes */ #define FIRST_MPFR_RND_MODE MPFR_RNDN static mpfr_rnd_t next_mpfr_rnd_mode (mpfr_rnd_t curr) { switch (curr) { case MPFR_RNDN: return MPFR_RNDZ; case MPFR_RNDZ: return MPFR_RNDU; case MPFR_RNDU: return MPFR_RNDD; case MPFR_RNDD: return MPFR_RNDA; default: /* return invalid guard value in mpfr_rnd_t */ return MPFR_RNDNA; } } static int is_valid_mpfr_rnd_mode (mpfr_rnd_t curr) /* returns 1 if curr is a valid rounding mode, and 0 otherwise */ { if ( curr == MPFR_RNDN || curr == MPFR_RNDZ || curr == MPFR_RNDU || curr == MPFR_RNDD || curr == MPFR_RNDA) return 1; else return 0; } static mpc_rnd_t next_mpc_rnd_mode (mpc_rnd_t rnd) { mpfr_rnd_t rnd_re = MPC_RND_RE (rnd); mpfr_rnd_t rnd_im = MPC_RND_IM (rnd); rnd_im = next_mpfr_rnd_mode (rnd_im); if (!is_valid_mpfr_rnd_mode (rnd_im)) { rnd_re = next_mpfr_rnd_mode (rnd_re); rnd_im = FIRST_MPFR_RND_MODE; } return MPC_RND(rnd_re, rnd_im); } static int is_valid_mpc_rnd_mode (mpc_rnd_t rnd) /* returns 1 if curr is a valid rounding mode, and 0 otherwise */ { mpfr_rnd_t rnd_re = MPC_RND_RE (rnd); mpfr_rnd_t rnd_im = MPC_RND_IM (rnd); return is_valid_mpfr_rnd_mode (rnd_re) && is_valid_mpfr_rnd_mode (rnd_im); } /* functions using abstract parameters */ static void first_mode (mpc_fun_param_t *params, int index) { switch (params->T[index]) { case MPC_RND: params->P[index].mpc_rnd = MPC_RND(FIRST_MPFR_RND_MODE, FIRST_MPFR_RND_MODE); break; case MPFR_RND: params->P[index].mpfr_rnd = FIRST_MPFR_RND_MODE; break; default: printf ("The rounding mode is expected to be" " the last input parameter.\n"); exit (-1); } } static void next_mode (mpc_fun_param_t *params, int index) { switch (params->T[index]) { case MPC_RND: params->P[index].mpc_rnd = next_mpc_rnd_mode (params->P[index].mpc_rnd); break; case MPFR_RND: params->P[index].mpfr_rnd = next_mpfr_rnd_mode (params->P[index].mpfr_rnd); break; default: printf ("The rounding mode is expected to be" " the last input parameter.\n"); exit (-1); } } static int is_valid_mode (mpc_fun_param_t *params, int index) /* returns 1 if params->P[index] is a valid rounding mode, and 0 otherwise */ { switch (params->T[index]) { case MPC_RND: return is_valid_mpc_rnd_mode (params->P[index].mpc_rnd); case MPFR_RND: return is_valid_mpfr_rnd_mode (params->P[index].mpfr_rnd); default: printf ("The rounding mode is expected to be" " the last input parameter.\n"); exit (-1); } } void first_rnd_mode (mpc_fun_param_t *params) { int rnd_mode_index; for (rnd_mode_index = params->nbout + params->nbin - params->nbrnd; rnd_mode_index < params->nbout + params->nbin; rnd_mode_index++) { first_mode (params, rnd_mode_index); } } void next_rnd_mode (mpc_fun_param_t *params) /* cycle through all valid rounding modes and finish with an invalid one */ { int last = params->nbout + params->nbin - 1; int index = params->nbout + params->nbin - params->nbrnd; int carry = 1; while (carry && index <= last) { next_mode (params, index); if (!is_valid_mode (params, index) && index < last) first_mode (params, index); else carry = 0; index++; } } int is_valid_rnd_mode (mpc_fun_param_t *params) /* returns 1 if all rounding parameters are set to a valid rounding mode, and 0 otherwise */ { int index; for (index = params->nbout + params->nbin - params->nbrnd; index < params->nbout + params->nbin; index++) if (! is_valid_mode (params, index)) return 0; return 1; } mpc-1.3.1/tests/atan.dsc0000644000175100017460000000150513227377425012017 00000000000000# Description file for mpc_atan # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_atan RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/mpfr_flags.c0000644000175100017460000000572313227377425012673 00000000000000/* random.c -- Handle seed for random numbers. Copyright (C) 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" /* set MPFR flags to random values */ void set_mpfr_flags (int counter) { if (counter & 1) mpfr_set_underflow (); else mpfr_clear_underflow (); if (counter & 2) mpfr_set_overflow (); else mpfr_clear_overflow (); /* the divide-by-0 flag was added in MPFR 3.1.0 */ #ifdef mpfr_set_divby0 if (counter & 4) mpfr_set_divby0 (); else mpfr_clear_divby0 (); #endif if (counter & 8) mpfr_set_nanflag (); else mpfr_clear_nanflag (); if (counter & 16) mpfr_set_inexflag (); else mpfr_clear_inexflag (); if (counter & 32) mpfr_set_erangeflag (); else mpfr_clear_erangeflag (); } /* Check MPFR flags: we allow that some flags are set internally by MPC, for example if MPC does internal computations (using MPFR) which yield an overflow, even if the final MPC result fits in the exponent range. However we don't allow MPC to *clear* the MPFR flags */ void check_mpfr_flags (int counter) { int old, neu; old = (counter & 1) != 0; neu = mpfr_underflow_p () != 0; if (old && (neu == 0)) { printf ("Error, underflow flag has been modified from %d to %d\n", old, neu); exit (1); } old = (counter & 2) != 0; neu = mpfr_overflow_p () != 0; if (old && (neu == 0)) { printf ("Error, overflow flag has been modified from %d to %d\n", old, neu); exit (1); } #ifdef mpfr_divby0_p old = (counter & 4) != 0; neu = mpfr_divby0_p () != 0; if (old && (neu == 0)) { printf ("Error, divby0 flag has been modified from %d to %d\n", old, neu); exit (1); } #endif old = (counter & 8) != 0; neu = mpfr_nanflag_p () != 0; if (old && (neu == 0)) { printf ("Error, nanflag flag has been modified from %d to %d\n", old, neu); exit (1); } old = (counter & 16) != 0; neu = mpfr_inexflag_p () != 0; if (old && (neu == 0)) { printf ("Error, inexflag flag has been modified from %d to %d\n", old, neu); exit (1); } old = (counter & 32) != 0; neu = mpfr_erangeflag_p () != 0; if (old && (neu == 0)) { printf ("Error, erangeflag flag has been modified from %d to %d\n", old, neu); exit (1); } } mpc-1.3.1/tests/abs.dat0000644000175100017460000000604512426164730011635 00000000000000# Data file for mpc_abs. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX PREC_ROP ROP PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND # # where op = op_re + i * op_im, # rop is ROP rounded to nearest to the precision of PREC_ROP # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP is checked against abs(op) rounded to the precision PREC_ROP # in the direction RND # INEX is the ternary value with the following notation: # "?" ternary value not checked # "+" if ROP is greater than the exact mathematical result # "0" if ROP is exactly the mathematical result # "-" if ROP is less than the exact mathematical result # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 53 +inf 53 -inf 53 -inf N 0 53 +inf 53 -inf 53 -1 N 0 53 +inf 53 -inf 53 -0 N 0 53 +inf 53 -inf 53 +0 N 0 53 +inf 53 -inf 53 +1 N 0 53 +inf 53 -inf 53 +inf N 0 53 +inf 53 -inf 53 nan N 0 53 +inf 53 -1 53 -inf N 0 53 +inf 53 -1 53 +inf N 0 53 nan 53 -1 53 nan N 0 53 +inf 53 -0 53 -inf N 0 53 +0 53 -0 53 -0 N 0 53 +0 53 -0 53 +0 N 0 53 +inf 53 -0 53 +inf N 0 53 nan 53 -0 53 nan N 0 53 +inf 53 +0 53 -inf N 0 53 +0 53 +0 53 -0 N 0 53 +0 53 +0 53 +0 N 0 53 +inf 53 +0 53 +inf N 0 53 nan 53 +0 53 nan N 0 53 +inf 53 +1 53 -inf N 0 53 +inf 53 +1 53 +inf N 0 53 nan 53 +1 53 nan N 0 53 +inf 53 +inf 53 -inf N 0 53 +inf 53 +inf 53 -1 N 0 53 +inf 53 +inf 53 -0 N 0 53 +inf 53 +inf 53 +0 N 0 53 +inf 53 +inf 53 +1 N 0 53 +inf 53 +inf 53 +inf N 0 53 +inf 53 +inf 53 nan N 0 53 +inf 53 nan 53 -inf N 0 53 nan 53 nan 53 -1 N 0 53 nan 53 nan 53 -0 N 0 53 nan 53 nan 53 +0 N 0 53 nan 53 nan 53 +1 N 0 53 +inf 53 nan 53 +inf N 0 53 nan 53 nan 53 nan N mpc-1.3.1/tests/log.dsc0000644000175100017460000000150313227377425011653 00000000000000# Description file for mpc_log # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_log RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tdummy.c0000644000175100017460000000142114345603441012051 00000000000000/* tdummy -- test file when stdio.h is not included Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc.h" int main (void) { return 0; } mpc-1.3.1/tests/div.dsc0000644000175100017460000000152213227377425011655 00000000000000# Description file for mpc_div # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_div RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/rootofunity.dsc0000644000175100017460000000156013227377425013476 00000000000000# Description file for mpc_rootofunity # # Copyright (C) 2016 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_rootofunity RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: unsigned long int unsigned long int mpc_rnd_t mpc-1.3.1/tests/cos.dat0000644000175100017460000000654213227377425011665 00000000000000# Data file for mpc_cos. # # Copyright (C) 2008, 2010 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see sin.dat. # special values (following ISO C99 standard) 0 0 7 inf 7 NaN 7 -inf 7 -inf N N 0 0 7 NaN 7 NaN 7 -inf 7 -1 N N 0 0 7 NaN 7 0 7 -inf 7 -0 N N 0 0 7 NaN 7 0 7 -inf 7 +0 N N 0 0 7 NaN 7 NaN 7 -inf 7 1 N N 0 0 7 inf 7 NaN 7 -inf 7 +inf N N 0 0 7 NaN 7 NaN 7 -inf 7 NaN N N 0 0 7 +inf 7 -inf 7 -1 7 -inf N N 0 0 7 +inf 7 +inf 7 -1 7 +inf N N 0 0 7 NaN 7 NaN 7 -1 7 NaN N N 0 0 7 +inf 7 -0 7 -0 7 -inf N N 0 0 7 1 7 -0 7 -0 7 -0 N N 0 0 7 1 7 +0 7 -0 7 +0 N N 0 0 7 +inf 7 +0 7 -0 7 +inf N N 0 0 7 NaN 7 0 7 -0 7 NaN N N 0 0 7 +inf 7 +0 7 +0 7 -inf N N 0 0 7 1 7 +0 7 +0 7 -0 N N 0 0 7 1 7 -0 7 +0 7 +0 N N 0 0 7 +inf 7 -0 7 +0 7 +inf N N 0 0 7 NaN 7 0 7 +0 7 NaN N N 0 0 7 +inf 7 +inf 7 1 7 -inf N N 0 0 7 +inf 7 -inf 7 1 7 +inf N N 0 0 7 NaN 7 NaN 7 1 7 NaN N N 0 0 7 inf 7 NaN 7 +inf 7 -inf N N 0 0 7 NaN 7 NaN 7 +inf 7 -1 N N 0 0 7 NaN 7 0 7 +inf 7 -0 N N 0 0 7 NaN 7 0 7 +inf 7 +0 N N 0 0 7 NaN 7 NaN 7 +inf 7 1 N N 0 0 7 inf 7 NaN 7 +inf 7 +inf N N 0 0 7 NaN 7 NaN 7 +inf 7 NaN N N 0 0 7 +inf 7 NaN 7 NaN 7 -inf N N 0 0 7 NaN 7 NaN 7 NaN 7 -1 N N 0 0 7 NaN 7 0 7 NaN 7 -0 N N 0 0 7 NaN 7 0 7 NaN 7 +0 N N 0 0 7 NaN 7 NaN 7 NaN 7 1 N N 0 0 7 +inf 7 NaN 7 NaN 7 +inf N N 0 0 7 NaN 7 NaN 7 NaN 7 NaN N N # purely real argument - 0 50 0x8a51407da8344p-52 50 -0 7 -1 7 -0 N N - 0 50 0x8a51407da8344p-52 50 +0 7 -1 7 +0 N N - 0 50 0x8a51407da8344p-52 50 +0 7 1 7 -0 N N - 0 50 0x8a51407da8344p-52 50 -0 7 1 7 +0 N N # purely imaginary argument - 0 50 0x18b07551d9f55p-48 50 -0 7 -0 7 -1 N N - 0 50 0x18b07551d9f55p-48 50 +0 7 -0 7 1 N N - 0 50 0x18b07551d9f55p-48 50 +0 7 +0 7 -1 N N - 0 50 0x18b07551d9f55p-48 50 -0 7 +0 7 1 N N # values with +1 and -1 - + 50 0xd56f54b7a1accp-52 50 -0xfd28666957478p-52 7 -1 7 -1 N N - - 50 0xd56f54b7a1accp-52 50 0xfd28666957478p-52 7 -1 7 1 N N - - 50 0xd56f54b7a1accp-52 50 0xfd28666957478p-52 7 1 7 -1 N N - + 50 0xd56f54b7a1accp-52 50 -0xfd28666957478p-52 7 1 7 1 N N # IEEE-754 double precision + 0 53 514 53 -0 53 +0 53 0x1BBDD1808C59A3p-50 N N - 0 53 0x100FFFFFFFFFFFp-43 53 -0 53 +0 53 0x1BBDD1808C59A3p-50 D D # huge values - + 53 -inf 53 +inf 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N + + 53 +inf 53 +inf 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N # bug reported by Joseph Myers (25 Mar 2015) + - 2 -0x3p1073741819 2 0x3p1073741819 2 -0x1p200 2 -0x1p800 Z Z mpc-1.3.1/tests/tacosh.c0000644000175100017460000000313613227377425012030 00000000000000/* tacosh.c -- test file for mpc_acosh. Copyright (C) 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void bug20091120 (void) { mpc_t x, y; mpc_init2 (x, 53); mpc_init3 (y, 17, 42); mpc_set_ui_ui (x, 1, 1, MPC_RNDNN); mpc_acosh (y, x, MPC_RNDNN); if (mpfr_get_prec (mpc_realref(y)) != 17 || mpfr_get_prec (mpc_imagref(y)) != 42) { printf ("Error, mpc_acosh changed the precisions!!!\n"); exit (1); } mpc_clear (x); mpc_clear (y); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_acosh (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_acosh (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); bug20091120 (); data_check_template ("acosh.dsc", "acosh.dat"); tgeneric_template ("acosh.dsc", 2, 512, 7, 7); test_end (); return 0; } mpc-1.3.1/tests/tsub_ui.c0000644000175100017460000000225113227377425012216 00000000000000/* tsub_ui -- test file for mpc_sub_ui. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sub_ui (P[1].mpc, P[2].mpc, P[3].ui, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sub_ui (P[1].mpc, P[1].mpc, P[3].ui, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("sub_ui.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/tsin_cos.c0000644000175100017460000000204513227377425012366 00000000000000/* tsin_cos -- test file for mpc_sin_cos. Copyright (C) 2011, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpcc_inex = mpc_sin_cos (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd, P[5].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("sin_cos.dsc", 2, 512, 13, 7); test_end (); return 0; } mpc-1.3.1/tests/mul_ui.dsc0000644000175100017460000000154313227377425012370 00000000000000# Description file for mpc_mul_ui # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_mul_ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/tadd_fr.c0000644000175100017460000000414213227377425012150 00000000000000/* tadd_fr -- test file for mpc_add_fr. Copyright (C) 2008, 2010, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void check_ternary_value (mpfr_prec_t prec_max, mpfr_prec_t step) { mpfr_prec_t prec; mpc_t z; mpfr_t f; mpc_init2 (z, 2); mpfr_init (f); for (prec = 2; prec < prec_max; prec += step) { mpc_set_prec (z, prec); mpfr_set_prec (f, prec); mpc_set_ui (z, 1, MPC_RNDNN); mpfr_set_ui (f, 1, MPFR_RNDN); if (mpc_add_fr (z, z, f, MPC_RNDNZ)) { printf ("Error in mpc_add_fr: 1+1 should be exact\n"); exit (1); } mpc_set_ui (z, 1, MPC_RNDNN); mpc_mul_2ui (z, z, (unsigned long int) prec, MPC_RNDNN); if (mpc_add_fr (z, z, f, MPC_RNDNN) == 0) { fprintf (stderr, "Error in mpc_add_fr: 2^prec+1 cannot be exact\n"); exit (1); } } mpc_clear (z); mpfr_clear (f); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_add_fr (P[1].mpc, P[2].mpc, P[3].mpfr, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_add_fr (P[1].mpc, P[1].mpc, P[3].mpfr, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); check_ternary_value (1024, 1); data_check_template ("add_fr.dsc", "add_fr.dat"); tgeneric_template ("add_fr.dsc", 2, 1024, 7, 128); test_end (); return 0; } mpc-1.3.1/tests/tatanh.c0000644000175100017460000000313513227377425012025 00000000000000/* tatanh -- test file for mpc_atanh. Copyright (C) 2009, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void bug20091120 (void) { mpc_t x, y; mpc_init2 (x, 53); mpc_init3 (y, 17, 42); mpc_set_ui_ui (x, 1, 1, MPC_RNDNN); mpc_atanh (y, x, MPC_RNDNN); if (mpfr_get_prec (mpc_realref(y)) != 17 || mpfr_get_prec (mpc_imagref(y)) != 42) { printf ("Error, mpc_atanh changed the precisions!!!\n"); exit (1); } mpc_clear (x); mpc_clear (y); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_atanh (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_atanh (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); bug20091120 (); data_check_template ("atanh.dsc", "atanh.dat"); tgeneric_template ("atanh.dsc", 2, 512, 5, 128); test_end (); return 0; } mpc-1.3.1/tests/tan.dsc0000644000175100017460000000150313227377425011654 00000000000000# Description file for mpc_tan # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_tan RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/comparisons.c0000644000175100017460000000310312426164730013067 00000000000000/* comparisons.c -- Comparison functions. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" /* comparisons, see description in mpc-tests.h */ int same_mpfr_value (mpfr_ptr got, mpfr_ptr ref, int known_sign) { /* The sign of zeroes and infinities is checked only when known_sign is true. */ if (mpfr_nan_p (got)) return mpfr_nan_p (ref); if (mpfr_inf_p (got)) return mpfr_inf_p (ref) && (!known_sign || mpfr_signbit (got) == mpfr_signbit (ref)); if (mpfr_zero_p (got)) return mpfr_zero_p (ref) && (!known_sign || mpfr_signbit (got) == mpfr_signbit (ref)); return mpfr_cmp (got, ref) == 0; } int same_mpc_value (mpc_ptr got, mpc_ptr ref, known_signs_t known_signs) { return same_mpfr_value (mpc_realref (got), mpc_realref (ref), known_signs.re) && same_mpfr_value (mpc_imagref (got), mpc_imagref (ref), known_signs.im); } mpc-1.3.1/tests/tprec.c0000644000175100017460000000351112426164730011652 00000000000000/* tprec -- Test file for mpc_set_prec, mpc_get_prec and mpc_get_prec2. Copyright (C) 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" int main (void) { mpc_t z; mpfr_prec_t prec, pr, pi; mpc_init2 (z, 1000); for (prec = 2; prec <= 1000; prec++) { /* check set_prec/get_prec */ mpfr_set_prec (mpc_realref (z), prec); mpfr_set_prec (mpc_imagref (z), prec + 1); if (mpc_get_prec (z) != 0) { printf ("Error in mpc_get_prec for prec (re) = %lu, " "prec (im) = %lu\n", (unsigned long int) prec, (unsigned long int) prec + 1ul); exit (1); } mpc_get_prec2 (&pr, &pi, z); if (pr != prec || pi != prec + 1) { printf ("Error in mpc_get_prec2 for prec (re) = %lu, " "prec (im) = %lu\n", (unsigned long int) prec, (unsigned long int) prec + 1ul); exit (1); } mpc_set_prec (z, prec); if (mpc_get_prec (z) != prec) { printf ("Error in mpc_get_prec for prec = %lu\n", (unsigned long int) prec); exit (1); } } mpc_clear (z); return 0; } mpc-1.3.1/tests/fma.dsc0000644000175100017460000000160513227377425011640 00000000000000# Description file for mpc_fma # # Copyright (C) 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your # option) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_fma RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tnorm.c0000644000175100017460000000570013227377425011705 00000000000000/* tnorm -- test file for mpc_norm. Copyright (C) 2008, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void test_underflow (void) { mpfr_exp_t emin = mpfr_get_emin (); mpc_t z; mpfr_t f; int inex; mpfr_set_emin (-1); /* smallest positive number is 0.5*2^emin = 0.25 */ mpc_init2 (z, 10); mpfr_set_ui_2exp (mpc_realref (z), 1023, -11, MPFR_RNDN); /* exact */ mpfr_set_ui_2exp (mpc_imagref (z), 1023, -11, MPFR_RNDN); /* exact */ mpfr_init2 (f, 10); inex = mpc_norm (f, z, MPFR_RNDZ); /* should give 511/1024 */ if (inex >= 0) { printf ("Error in underflow case (1)\n"); printf ("expected inex < 0, got %d\n", inex); exit (1); } if (mpfr_cmp_ui_2exp (f, 511, -10) != 0) { printf ("Error in underflow case (1)\n"); printf ("got "); mpfr_dump (f); printf ("expected "); mpfr_set_ui_2exp (f, 511, -10, MPFR_RNDZ); mpfr_dump (f); exit (1); } inex = mpc_norm (f, z, MPFR_RNDN); /* should give 511/1024 */ if (inex >= 0) { printf ("Error in underflow case (2)\n"); printf ("expected inex < 0, got %d\n", inex); exit (1); } if (mpfr_cmp_ui_2exp (f, 511, -10) != 0) { printf ("Error in underflow case (2)\n"); printf ("got "); mpfr_dump (f); printf ("expected "); mpfr_set_ui_2exp (f, 511, -10, MPFR_RNDZ); mpfr_dump (f); exit (1); } inex = mpc_norm (f, z, MPFR_RNDU); /* should give 1023/2048 */ if (inex <= 0) { printf ("Error in underflow case (3)\n"); printf ("expected inex > 0, got %d\n", inex); exit (1); } if (mpfr_cmp_ui_2exp (f, 1023, -11) != 0) { printf ("Error in underflow case (3)\n"); printf ("got "); mpfr_dump (f); printf ("expected "); mpfr_set_ui_2exp (f, 1023, -11, MPFR_RNDZ); mpfr_dump (f); exit (1); } mpc_clear (z); mpfr_clear (f); mpfr_set_emin (emin); } #define MPC_FUNCTION_CALL \ P[0].mpfr_inex = mpc_norm (P[1].mpfr, P[2].mpc, P[3].mpfr_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("norm.dsc", "norm.dat"); tgeneric_template ("norm.dsc", 2, 1024, 1, 4096); test_underflow (); test_end (); return 0; } mpc-1.3.1/tests/agm.dsc0000644000175100017460000000156514345571363011645 00000000000000# Description file for mpc_agm # # Copyright (C) 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_agm RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/read_line.c0000644000175100017460000001514613227377425012475 00000000000000/* read_line.c -- Read line of test data in file. Copyright (C) 2012, 2013, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void read_param (mpc_datafile_context_t* datafile_context, mpc_operand_t* p, mpc_param_t t) { switch (t) { case NATIVE_INT: tpl_read_int (datafile_context, &(p->i),""); return; case NATIVE_UL: tpl_read_ui (datafile_context, &(p->ui)); return; case NATIVE_L: tpl_read_si (datafile_context, &(p->si)); return; case NATIVE_D: case NATIVE_LD: /* TODO */ fprintf (stderr, "read_param: type not implemented.\n"); exit (1); break; case NATIVE_DC: case NATIVE_LDC: #ifdef _Complex_I /* TODO */ fprintf (stderr, "read_param: type not implemented.\n"); exit (1); #endif break; case NATIVE_IM: case NATIVE_UIM: #ifdef _MPC_H_HAVE_INTMAX_T /* TODO */ fprintf (stderr, "read_param: type not implemented.\n"); exit (1); #endif break; case NATIVE_STRING: /* TODO */ fprintf (stderr, "read_param: type not implemented.\n"); exit (1); break; case GMP_Z: tpl_read_mpz (datafile_context, p->mpz); return; case GMP_Q: case GMP_F: /* TODO */ fprintf (stderr, "read_param: type not implemented.\n"); exit (1); break; case MPFR_INEX: tpl_read_mpfr_inex (datafile_context, &p->mpfr_inex); return; case MPFR: tpl_read_mpfr (datafile_context, p->mpfr_data.mpfr, &p->mpfr_data.known_sign); return; case MPFR_RND: tpl_read_mpfr_rnd (datafile_context, &p->mpfr_rnd); return; case MPC_INEX: tpl_read_mpc_inex (datafile_context, &p->mpc_inex_data); return; case MPC: tpl_read_mpc (datafile_context, &p->mpc_data); return; case MPC_RND: tpl_read_mpc_rnd (datafile_context, &p->mpc_rnd); return; case MPCC_INEX: /* TODO */ fprintf (stderr, "read_param: type not implemented.\n"); exit (1); break; } fprintf (stderr, "read_param: unsupported type.\n"); exit (1); } static void set_precision (mpc_fun_param_t* params, int index) { /* set output precision to reference precision */ int index_ref = index + params->nbout + params->nbin; switch (params->T[index]) { case MPFR: mpfr_set_prec (params->P[index].mpfr, mpfr_get_prec (params->P[index_ref].mpfr)); return; case MPC: mpfr_set_prec (mpc_realref (params->P[index].mpc), MPC_PREC_RE (params->P[index_ref].mpc)); mpfr_set_prec (mpc_imagref (params->P[index].mpc), MPC_PREC_IM (params->P[index_ref].mpc)); return; case NATIVE_INT: case NATIVE_UL: case NATIVE_L: case NATIVE_D: case NATIVE_LD: case NATIVE_DC: case NATIVE_LDC: case NATIVE_IM: case NATIVE_UIM: case NATIVE_STRING: case GMP_Z: case GMP_Q: case GMP_F: case MPFR_INEX: case MPFR_RND: case MPC_INEX: case MPC_RND: case MPCC_INEX: /* unsupported types */ break; } fprintf (stderr, "set_precision: unsupported type.\n"); exit (1); } void read_line (mpc_datafile_context_t* datafile_context, mpc_fun_param_t* params) { int in, out; int total = params->nbout + params->nbin; datafile_context->test_line_number = datafile_context->line_number; for (out = 0; out < params->nbout; out++) { read_param (datafile_context, &(params->P[total + out]), params->T[total + out]); if (params->T[out] == MPFR || params->T[out] == MPC) set_precision (params, out); } for (in = params->nbout; in < total; in++) { read_param (datafile_context, &(params->P[in]), params->T[in]); } } /* read primitives */ static void tpl_skip_line (mpc_datafile_context_t* datafile_context) /* skips characters until reaching '\n' or EOF; */ /* '\n' is skipped as well */ { while (datafile_context->nextchar != EOF && datafile_context->nextchar != '\n') datafile_context->nextchar = getc (datafile_context->fd); if (datafile_context->nextchar != EOF) { datafile_context->line_number ++; datafile_context->nextchar = getc (datafile_context->fd); } } static void tpl_skip_whitespace (mpc_datafile_context_t* datafile_context) /* skips over whitespace if any until reaching EOF */ /* or non-whitespace */ { while (isspace (datafile_context->nextchar)) { if (datafile_context->nextchar == '\n') datafile_context->line_number ++; datafile_context->nextchar = getc (datafile_context->fd); } } void tpl_skip_whitespace_comments (mpc_datafile_context_t* datafile_context) /* skips over all whitespace and comments, if any */ { tpl_skip_whitespace (datafile_context); while (datafile_context->nextchar == '#') { tpl_skip_line (datafile_context); if (datafile_context->nextchar != EOF) tpl_skip_whitespace (datafile_context); } } /* All following read routines skip over whitespace and comments; */ /* so after calling them, nextchar is either EOF or the beginning */ /* of a non-comment token. */ void tpl_read_ternary (mpc_datafile_context_t* datafile_context, int* ternary) { switch (datafile_context->nextchar) { case '!': *ternary = TERNARY_ERROR; break; case '?': *ternary = TERNARY_NOT_CHECKED; break; case '+': *ternary = +1; break; case '0': *ternary = 0; break; case '-': *ternary = -1; break; default: printf ("Error: Unexpected ternary value '%c' in file '%s' line %lu\n", datafile_context->nextchar, datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } mpc-1.3.1/tests/ui_ui_sub.dsc0000644000175100017460000000160313227377425013056 00000000000000# Description file for mpc_ui_ui_sub # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_ui_ui_sub RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: unsigned long int unsigned long int mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tballs.c0000644000175100017460000001531514345571363012031 00000000000000/* tballs -- test file for complex ball arithmetic. Copyright (C) 2018, 2020, 2021, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #include "mpc-impl.h" /* For the alternative AGM implementation, we need all the power of this include file. */ static int mpc_mpcb_agm (mpc_ptr rop, mpc_srcptr opa, mpc_srcptr opb, mpc_rnd_t rnd) /* Alternative implementation of mpc_agm that uses complex balls. */ { mpfr_prec_t prec; mpc_t b0, diff; mpcb_t a, b, an, bn, anp1, bnp1, res; mpfr_exp_t exp_an, exp_diff; mpcr_t rab; int cmp, equal, re_zero, im_zero, ok, inex; if (!mpc_fin_p (opa) || !mpc_fin_p (opb) || mpc_zero_p (opa) || mpc_zero_p (opb) || mpc_cmp (opa, opb) == 0 || ( mpfr_sgn (mpc_realref (opa)) == -mpfr_sgn (mpc_realref (opb)) && mpfr_sgn (mpc_imagref (opa)) == -mpfr_sgn (mpc_imagref (opb)) && mpfr_cmpabs (mpc_realref (opa), mpc_realref (opb)) == 0 && mpfr_cmpabs (mpc_imagref (opa), mpc_imagref (opb)) == 0) || ( mpfr_zero_p (mpc_imagref (opa)) && mpfr_zero_p (mpc_imagref (opb)) && mpfr_sgn (mpc_realref (opa)) == mpfr_sgn (mpc_realref (opb))) || ( mpfr_zero_p (mpc_realref (opa)) && mpfr_zero_p (mpc_realref (opb)) && mpfr_sgn (mpc_imagref (opa)) == mpfr_sgn (mpc_imagref (opb)))) /* Special cases that are handled separately by mpc_agm; there is no need to rewrite them. */ return mpc_agm (rop, opa, opb, rnd); /* Exclude the case of angle 0, also handled separately by mpc_agm. */ mpc_init2 (b0, 2); mpc_div (b0, opb, opa, MPC_RNDZZ); if (mpfr_zero_p (mpc_imagref (b0)) && mpfr_sgn (mpc_realref (b0)) > 0) { mpc_clear (b0); return mpc_agm (rop, opa, opb, rnd); } mpc_clear (b0); cmp = mpc_cmp_abs (opa, opb); mpcb_init (a); mpcb_init (b); mpcb_init (an); mpcb_init (bn); mpcb_init (anp1); mpcb_init (bnp1); mpcb_init (res); prec = MPC_MAX (MPC_MAX (MPC_MAX_PREC (opa), MPC_MAX_PREC (opb)), MPC_MAX_PREC (rop) + 20); /* So copying opa and opb will be exact, and there is a small safety margin for the result. */ do { mpcb_set_prec (a, prec); mpcb_set_prec (b, prec); mpcb_set_prec (an, prec); mpcb_set_prec (bn, prec); mpcb_set_prec (anp1, prec); mpcb_set_prec (bnp1, prec); mpcb_set_prec (res, prec); /* TODO: Think about the mpcb_set variants; mpcb_set_c, for instance, modifies the precision. It is probably better to add a precision parameter to mpcb_init and potentially round with mpcb_set_xxx. */ mpc_set (a->c, opa, MPC_RNDNN); /* exact */ mpcr_set_zero (a->r); mpc_set (b->c, opb, MPC_RNDNN); mpcr_set_zero (b->r); mpc_set_ui_ui (an->c, 1, 0, MPC_RNDNN); mpcr_set_zero (an->r); if (cmp >= 0) mpcb_div (bn, b, a); else mpcb_div (bn, a, b); /* Iterate until there is a fixed point or (often one iteration earlier) the arithmetic and the geometric mean coincide. */ do { mpcb_add (anp1, an, bn); mpcb_div_2ui (anp1, anp1, 1); mpcb_mul (bnp1, an, bn); mpcb_sqrt (bnp1, bnp1); /* Be aware of the branch cut! The current function does what is needed here. */ equal = mpc_cmp (an->c, bn->c) == 0 || ( mpc_cmp (an->c, anp1->c) == 0 && mpc_cmp (bn->c, bnp1->c) == 0); mpcb_set (an, anp1); mpcb_set (bn, bnp1); } while (!equal); /* Check whether we can conclude, see the error analysis in algorithms.tex. */ if (mpcr_inf_p (anp1->r)) ok = 0; else { mpc_init2 (diff, prec); mpc_sub (diff, an->c, bn->c, MPC_RNDZZ); /* FIXME: We would need to round away, but this is not yet implemented. */ re_zero = mpfr_zero_p (mpc_realref (diff)); if (!re_zero) MPFR_ADD_ONE_ULP (mpc_realref (diff)); im_zero = mpfr_zero_p (mpc_imagref (diff)); if (!im_zero) MPFR_ADD_ONE_ULP (mpc_imagref (diff)); mpcb_set (res, anp1); if (re_zero && im_zero) mpcr_set_zero (rab); else { exp_an = MPC_MIN (mpfr_get_exp (mpc_realref (an->c)), mpfr_get_exp (mpc_imagref (an->c))) - 1; if (re_zero) exp_diff = mpfr_get_exp (mpc_imagref (diff)) + 1; else if (im_zero) exp_diff = mpfr_get_exp (mpc_realref (diff)) + 1; else exp_diff = MPC_MAX (mpfr_get_exp (mpc_realref (diff)), mpfr_get_exp (mpc_imagref (diff)) + 1); mpcr_set_one (rab); (rab->exp) += (exp_diff - exp_an); /* TODO: Should be done by an mpcr function. */ } mpcr_add (rab, rab, an->r); (rab->exp)++; mpcr_add (res->r, rab, bn->r); /* r = 2 * (rab + an->r) + bn->r */ if (cmp >= 0) mpcb_mul (res, res, a); else mpcb_mul (res, res, b); ok = mpcb_can_round (res, MPC_PREC_RE (rop), MPC_PREC_IM (rop), rnd); mpc_clear (diff); } if (!ok) prec += prec + mpcr_get_exp (res->r); } while (!ok); inex = mpcb_round (rop, res, rnd); mpcb_clear (a); mpcb_clear (b); mpcb_clear (an); mpcb_clear (bn); mpcb_clear (anp1); mpcb_clear (bnp1); mpcb_clear (res); return inex; } static int test_agm (void) { mpfr_prec_t prec; mpc_t a, b, agm1, agm2; mpc_rnd_t rnd = MPC_RNDDU; int inex, inexb, ok; prec = 1000; mpc_init2 (a, prec); mpc_init2 (b, prec); mpc_set_si_si (a, 100, 0, MPC_RNDNN); mpc_set_si_si (b, 0, 100, MPC_RNDNN); mpc_init2 (agm1, prec); mpc_init2 (agm2, prec); inex = mpc_agm (agm1, a, b, rnd); inexb = mpc_mpcb_agm (agm2, a, b, rnd); ok = (inex == inexb) && (mpc_cmp (agm1, agm2) == 0); mpc_clear (a); mpc_clear (b); mpc_clear (agm1); mpc_clear (agm2); return !ok; } int main (void) { return test_agm (); } mpc-1.3.1/tests/tsub_fr.c0000644000175100017460000000237313227377425012215 00000000000000/* tsub_fr -- test file for mpc_sub_fr. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sub_fr (P[1].mpc, P[2].mpc, P[3].mpfr, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sub_fr (P[1].mpc, P[1].mpc, P[3].mpfr, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("sub_fr.dsc", "sub_fr.dat"); tgeneric_template ("sub_fr.dsc", 2, 1024, 7, 128); test_end (); return 0; } mpc-1.3.1/tests/log.dat0000644000175100017460000002302513227377425011655 00000000000000# Data test file for mpc_log. # # Copyright (C) 2008, 2009, 2010, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your # option) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # See file sin.dat for the format description. # Special values, following ISO C99 standard, Annex G, # more precisely Section G.6.3.2 "The clog functions". # Rule [conj]: log(conj(z)) = conj(log(z)) # log(-0 + i*0) = -inf + i*pi 0 - 2 -inf 53 +0x3243F6A8885A3p-48 2 -0 2 +0 N N 0 + 2 -inf 53 -0x3243F6A8885A3p-48 2 -0 2 -0 N N 0 - 2 -inf 53 +0x3243F6A8885A3p-48 2 -0 2 +0 N D 0 - 2 -inf 53 -0x3243F6A8885A32p-52 2 -0 2 -0 N D # log(+0 + i*0) = -inf + i*0 0 0 2 -inf 2 +0 2 +0 2 +0 N N 0 0 2 -inf 2 -0 2 +0 2 -0 N N # log(+1 +- i*0) = +0 +- i*0 0 0 2 +0 2 +0 2 1 2 +0 N N 0 0 2 +0 2 -0 2 1 2 -0 N N # log(-1 +- i*0) = +0 +- i*pi 0 - 2 +0 53 +0x3243F6A8885A3p-48 2 -1 2 +0 N N 0 + 2 +0 53 -0x3243F6A8885A3p-48 2 -1 2 -0 N N # log(x + i*inf) = +inf + i*pi/2 for finite x 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 1 2 +inf N N 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 +0 2 +inf N N 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 -0 2 +inf N N 0 - 2 +inf 53 +0x3243F6A8885A3p-49 2 -1 2 +inf N N # by [conj]: log(x - i*inf) = +inf - i*pi/2 for finite x 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 1 2 -inf N N 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 +0 2 -inf N N 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 -0 2 -inf N N 0 + 2 +inf 53 -0x3243F6A8885A3p-49 2 -1 2 -inf N N # log(x + i*nan) = nan+i*nan for finite x 0 0 2 nan 2 nan 2 1 2 nan N N 0 0 2 nan 2 nan 2 +0 2 nan N N 0 0 2 nan 2 nan 2 -0 2 nan N N 0 0 2 nan 2 nan 2 -1 2 nan N N # log(-inf + i*y) = +inf + i*pi for finite positive-signed y 0 - 2 +inf 53 0x3243F6A8885A3p-48 2 -inf 2 1 N N 0 - 2 +inf 53 0x3243F6A8885A3p-48 2 -inf 2 +0 N N # by [conj]: log(-inf + i*y) = +inf - i*pi for finite negative-signed y 0 + 2 +inf 53 -0x3243F6A8885A3p-48 2 -inf 2 -1 N N 0 + 2 +inf 53 -0x3243F6A8885A3p-48 2 -inf 2 -0 N N # log(+inf + i*y) = +inf + i*0 for finite positive-signed y 0 0 2 +inf 2 +0 2 +inf 2 1 N N 0 0 2 +inf 2 +0 2 +inf 2 +0 N N # by [conj]: log(+inf + i*y) = +inf - i*0 for finite negative-signed y 0 0 2 +inf 2 -0 2 +inf 2 -1 N N 0 0 2 +inf 2 -0 2 +inf 2 -0 N N # log(-inf + i*inf) = +inf + i*(3*pi/4) 0 - 2 +inf 53 0x96CBE3F9990E9p-50 2 -inf 2 +inf N N # by [conj]: log(-inf - i*inf) = +inf - i*(3*pi/4) 0 + 2 +inf 53 -0x96CBE3F9990E9p-50 2 -inf 2 -inf N N # log(+inf + i*inf) = +inf + i*(pi/4) 0 - 2 +inf 53 0x3243F6A8885A3p-50 2 +inf 2 +inf N N # by [conj]: log(+inf - i*inf) = +inf - i*(pi/4) 0 + 2 +inf 53 -0x3243F6A8885A3p-50 2 +inf 2 -inf N N # log(+/-inf + i*nan) = +inf + i*nan 0 0 2 +inf 2 nan 2 +inf 2 nan N N 0 0 2 +inf 2 nan 2 -inf 2 nan N N # log(nan + i*y) = nan + i*nan for finite y 0 0 2 nan 2 nan 2 nan 2 1 N N 0 0 2 nan 2 nan 2 nan 2 +0 N N 0 0 2 nan 2 nan 2 nan 2 -0 N N 0 0 2 nan 2 nan 2 nan 2 -1 N N # log(nan + i*inf) = +inf + i*nan 0 0 2 +inf 2 nan 2 nan 2 +inf N N 0 0 2 +inf 2 nan 2 nan 2 -inf N N # log(nan + i*nan) = nan + i*nan 0 0 2 nan 2 nan 2 nan 2 nan N N # log(x + i*y) with either x or y zero and the other non-zero + 0 53 0xB5535E0FD3FBDp-50 2 0 5 0x11 2 0 N N + - 53 0xB5535E0FD3FBDp-50 53 0x3243F6A8885A3p-49 2 0 5 0x11 N N - - 53 0x5E38D81812CCBp-49 53 0x3243F6A8885A3p-48 5 -0x13 2 +0 N N - + 53 0x5E38D81812CCBp-49 53 -0x3243F6A8885A3p-48 5 -0x13 2 -0 N N - + 53 0x5E38D81812CCBp-49 53 -0x3243F6A8885A3p-49 2 0 5 -0x13 N N - + 53 0x19157DFDD1B3Fp-47 53 0x1921FB54442D19p-51 5 -0x17 2 +0 Z U - - 53 0x19157DFDD1B3Fp-47 53 -0x1921FB54442D19p-51 5 -0x17 2 -0 N D + - 53 0x19157DFDD1B3F1p-51 53 0x3243F6A8885A3p-48 5 -0x17 2 +0 U Z - + 53 0x19157DFDD1B3Fp-47 53 -0x3243F6A8885A3p-48 5 -0x17 2 -0 D N - - 53 0x8611A6D2511D3p-49 53 0x3243F6A8885A3p-48 7 -0x42 2 +0 Z D - + 53 0x8611A6D2511D3p-49 53 -0x3243F6A8885A3p-48 7 -0x42 2 -0 N Z + - 53 0x10C234DA4A23A7p-50 53 0x3243F6A8885A3p-48 7 -0x42 2 +0 U N - + 53 0x8611A6D2511D3p-49 53 -0x3243F6A8885A3p-48 7 -0x42 2 -0 D U # normal non-zero numbers - - 17 0x6701p-15 42 0x3b58ce0ac37p-43 2 2 2 1 N N - + 17 0x6701p-15 42 -0x3b58ce0ac37p-43 2 2 2 -1 N N - + 17 0x6701p-15 42 0x2ad8dce72ffp-40 2 -2 2 1 N N - - 17 0x6701p-15 42 -0x2ad8dce72ffp-40 2 -2 2 -1 N N - + 17 0x6701p-15 42 0x46db864bafp-38 2 1 2 2 N N - - 17 0x6701p-15 42 -0x46db864bafp-38 2 1 2 -2 N N - + 17 0x6701p-15 42 0x10468a8ace5p-39 2 -1 2 2 N N - - 17 0x6701p-15 42 -0x10468a8ace5p-39 2 -1 2 -2 N N # huge values + 0 53 0x162E42FEFA39Fp-39 2 0 2 0x1p1024 2 +0 U U + 0 53 0x162E42FEFA39Fp-38 2 0 2 0x1p2048 2 +0 U U + 0 53 0x162E42FEFA39Fp-37 2 0 2 0x1p4096 2 +0 U U + 0 53 0x162E42FEFA39Fp-36 2 0 2 0x1p8192 2 +0 U U + 0 53 0x162E42FEFA39Fp-35 2 0 2 0x1p16384 2 +0 U U + 0 53 0x162E42FEFA39Fp-34 2 0 2 0x1p32768 2 +0 U U + 0 53 0x162E42FEFA39Fp-33 2 0 2 0x1p65536 2 +0 U U + 0 53 0x162E42FEFA39Fp-32 2 0 2 0x1p131072 2 +0 U U + 0 53 0x162E42FEFA39Fp-31 2 0 2 0x1p262144 2 +0 U U + 0 53 0x162E42FEFA39Fp-30 2 0 2 0x1p524288 2 +0 U U + 0 53 0x162E42FEFA39Fp-29 2 0 2 0x1p1048576 2 +0 U U + 0 53 0x162E42FEFA39Fp-28 2 0 2 0x1p2097152 2 +0 U U + 0 53 0x162E42FEFA39Fp-27 2 0 2 0x1p4194304 2 +0 U U + 0 53 0x162E42FEFA39Fp-26 2 0 2 0x1p8388608 2 +0 U U + 0 53 0x162E42FEFA39Fp-25 2 0 2 0x1p16777216 2 +0 U U + 0 53 0x162E42FEFA39Fp-24 2 0 2 0x1p33554432 2 +0 U U + 0 53 0x162E42FEFA39Fp-23 2 0 2 0x1p67108864 2 +0 U U + 0 53 0x162E42FEFA39Fp-22 2 0 2 0x1p134217728 2 +0 U U + 0 53 0x162E42FEFA39Fp-21 2 0 2 0x1p268435456 2 +0 U U + 0 53 0x162E42FEFA39Fp-20 2 0 2 0x1p536870912 2 +0 U U + + 53 0x163108C75A1937p-43 53 0x1921FB54442D19p-53 2 0x1p1024 2 0x1p1024 U U + + 53 0x162FA5E32A2993p-42 53 0x1921FB54442D19p-53 2 0x1p2048 2 0x1p2048 U U + + 53 0xB177A388918E1p-40 53 0x1921FB54442D19p-53 2 0x1p4096 2 0x1p4096 U U + + 53 0x162E9BB80635D9p-40 53 0x1921FB54442D19p-53 2 0x1p8192 2 0x1p8192 U U + + 53 0x58B9BD6E00DF9p-37 53 0x1921FB54442D19p-53 2 0x1p16384 2 0x1p16384 U U + + 53 0xB172C969E9C75p-37 53 0x1921FB54442D19p-53 2 0x1p32768 2 0x1p32768 U U + + 53 0x162E4E161BB96Dp-37 53 0x1921FB54442D19p-53 2 0x1p65536 2 0x1p65536 U U + + 53 0xB172445457CD7p-35 2 0x1p0 2 0x1p131072 2 0x1p131072 U U + + 53 0x162E45C4C299CFp-35 2 0x1p0 2 0x1p262144 2 0x1p262144 U U + + 53 0x162E4461DE69DFp-34 2 0x1p0 2 0x1p524288 2 0x1p524288 U U + + 53 0x2C5C8760D8A3Dp-30 2 0x1p0 2 0x1p1048576 2 0x1p1048576 U U + + 53 0x58B90D5ECD17Bp-30 2 0x1p0 2 0x1p2097152 2 0x1p2097152 U U + + 53 0xB172195AB5FF7p-30 2 0x1p0 2 0x1p4194304 2 0x1p4194304 U U + + 53 0x162E4315287CEFp-30 2 0x1p0 2 0x1p8388608 2 0x1p8388608 U U + + 53 0x162E430A115B6Fp-29 2 0x1p0 2 0x1p16777216 2 0x1p16777216 U U + + 53 0x162E430485CAAFp-28 2 0x1p0 2 0x1p33554432 2 0x1p33554432 U U + + 53 0x162E4301C0025p-23 2 0x1p0 2 0x1p67108864 2 0x1p67108864 U U + + 53 0xB1721802E8F1p-21 2 0x1p0 2 0x1p134217728 2 0x1p134217728 U U + + 53 0x2C5C85FF57581p-22 2 0x1p0 2 0x1p268435456 2 0x1p268435456 U U # Example leading to intermediate overflow in x^2+y^2 + + 53 0x58B90BFD4BCBFp-22 2 0x1p0 2 0x1p536870912 2 0x1p536870912 U U + + 53 0xb17217efbcc47p-22 2 0x1p0 2 0x3p1073741819 2 0x3p1073741819 U U # Example leading to intermediate underflow in x^2+y^2 - - 53 -0xb17217f0e35a9p-22 2 0x3p-2 2 0x1p-1073741822 2 0x1p-1073741822 D D # log (-1 + i*eps), looped in previous version - - 2 0 2 3 2 -1 2 0x1p-1073741813 N N - - 2 0 2 3 2 -1 2 0x1p-1073741813 D D + + 2 0x1p-1073741822 2 4 2 -1 2 0x1p-1073741813 U U # log(1 + i*eps), could cause similar problems - + 2 0 2 0x1p-1073741822 2 1 2 0x1p-1073741822 N N - - 2 0 2 0 2 1 2 0x1p-1073741822 D D + + 2 0x1p-1073741822 2 0x1p-1073741822 2 1 2 0x1p-1073741822 U U # log (eps + i) - - 2 0 2 0x3p-1 2 0x1p-1073741822 2 1 N N - - 2 0 2 0x3p-1 2 0x1p-1073741822 2 1 D D + + 2 0x1p-1073741822 2 2 2 0x1p-1073741822 2 1 U U # log (close to 1 + i*eps), improves test coverage + - 2 -0x1p-36 2 0x1p-1073741822 36 0x0.FFFFFFFFF 2 0x1p-1073741822 N N mpc-1.3.1/tests/treal.c0000644000175100017460000000201013227377425011644 00000000000000/* treal -- test file for mpc_real. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpfr_inex = mpc_imag (P[1].mpfr, P[2].mpc, P[3].mpfr_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("real.dsc", 2, 1024, 1, 4096); test_end (); return 0; } mpc-1.3.1/tests/conj.dat0000644000175100017460000001261212426164730012016 00000000000000# Data file for mpc_conj. # # Copyright (C) 2008, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # see sin.dat for precisions # special values (following ISO C99 standard) 0 0 53 -inf 53 +inf 53 -inf 53 -inf N N 0 0 53 -inf 53 +1 53 -inf 53 -1 N N 0 0 53 -inf 53 +0 53 -inf 53 -0 N N 0 0 53 -inf 53 -0 53 -inf 53 +0 N N 0 0 53 -inf 53 -1 53 -inf 53 +1 N N 0 0 53 -inf 53 -inf 53 -inf 53 +inf N N 0 0 53 -inf 53 nan 53 -inf 53 nan N N 0 0 53 -1 53 +inf 53 -1 53 -inf N N 0 0 53 -1 53 +0 53 -1 53 -0 N N 0 0 53 -1 53 -0 53 -1 53 +0 N N 0 0 53 -1 53 -inf 53 -1 53 +inf N N 0 0 53 -1 53 nan 53 -1 53 nan N N 0 0 53 -0 53 +inf 53 -0 53 -inf N N 0 0 53 -0 53 +1 53 -0 53 -1 N N 0 0 53 -0 53 +0 53 -0 53 -0 N N 0 0 53 -0 53 -0 53 -0 53 +0 N N 0 0 53 -0 53 -1 53 -0 53 +1 N N 0 0 53 -0 53 -inf 53 -0 53 +inf N N 0 0 53 -0 53 nan 53 -0 53 nan N N 0 0 53 +0 53 +inf 53 +0 53 -inf N N 0 0 53 +0 53 +1 53 +0 53 -1 N N 0 0 53 +0 53 +0 53 +0 53 -0 N N 0 0 53 +0 53 -0 53 +0 53 +0 N N 0 0 53 +0 53 -1 53 +0 53 +1 N N 0 0 53 +0 53 -inf 53 +0 53 +inf N N 0 0 53 +0 53 nan 53 +0 53 nan N N 0 0 53 +1 53 +inf 53 +1 53 -inf N N 0 0 53 +1 53 +0 53 +1 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 +0 N N 0 0 53 +1 53 -inf 53 +1 53 +inf N N 0 0 53 +1 53 nan 53 +1 53 nan N N 0 0 53 +inf 53 +inf 53 +inf 53 -inf N N 0 0 53 +inf 53 +1 53 +inf 53 -1 N N 0 0 53 +inf 53 +0 53 +inf 53 -0 N N 0 0 53 +inf 53 -0 53 +inf 53 +0 N N 0 0 53 +inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 -inf 53 +inf 53 +inf N N 0 0 53 +inf 53 nan 53 +inf 53 nan N N 0 0 53 nan 53 +inf 53 nan 53 -inf N N 0 0 53 nan 53 +1 53 nan 53 -1 N N 0 0 53 nan 53 +0 53 nan 53 -0 N N 0 0 53 nan 53 -0 53 nan 53 +0 N N 0 0 53 nan 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 -inf 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument 0 0 53 0x123456789abcdep+52 2 -0 53 0x123456789abcdep+52 17 +0 N N 0 0 53 -0x123456789abcdep+52 3 -0 54 -0x123456789abcdep+52 16 +0 Z N 0 0 53 0x123456789abcdep+52 4 +0 55 0x123456789abcdep+52 15 -0 U N 0 0 53 -0x123456789abcdep+52 5 +0 56 -0x123456789abcdep+52 14 -0 D N 0 0 53 0x123456789abcdep+52 6 -0 57 0x123456789abcdep+52 13 +0 Z Z 0 0 53 -0x123456789abcdep+52 7 -0 58 -0x123456789abcdep+52 12 +0 U Z 0 0 53 0x123456789abcdep+52 8 +0 59 0x123456789abcdep+52 11 -0 D Z 0 0 53 -0x123456789abcdep+52 9 +0 60 -0x123456789abcdep+52 10 -0 N Z 0 0 53 0x123456789abcdep+52 10 -0 61 0x123456789abcdep+52 9 +0 U U 0 0 53 -0x123456789abcdep+52 11 -0 62 -0x123456789abcdep+52 8 +0 D U 0 0 53 0x123456789abcdep+52 12 +0 63 0x123456789abcdep+52 7 -0 N U 0 0 53 -0x123456789abcdep+52 13 +0 64 -0x123456789abcdep+52 6 -0 Z U 0 0 53 0x123456789abcdep+52 14 -0 65 0x123456789abcdep+52 5 +0 D D 0 0 53 -0x123456789abcdep+52 15 -0 66 -0x123456789abcdep+52 4 +0 N D 0 0 53 0x123456789abcdep+52 16 +0 67 0x123456789abcdep+52 3 -0 Z D 0 0 53 -0x123456789abcdep+52 17 +0 68 -0x123456789abcdep+52 2 -0 U D # pure imaginary argument 0 0 53 +0 53 -0x123456789abcdep+52 53 +0 53 0x123456789abcdep+52 N N 0 0 53 -0 53 -0x123456789abcdep+52 51 -0 54 0x123456789abcdep+52 Z N 0 0 53 +0 53 0x123456789abcdep+52 49 +0 55 -0x123456789abcdep+52 U N 0 0 53 -0 53 0x123456789abcdep+52 47 -0 56 -0x123456789abcdep+52 D N 0 0 53 +0 53 -0x123456789abcdep+52 45 +0 57 0x123456789abcdep+52 Z Z 0 0 53 -0 53 -0x123456789abcdep+52 43 -0 58 0x123456789abcdep+52 U Z 0 0 53 +0 53 0x123456789abcdep+52 41 +0 59 -0x123456789abcdep+52 D Z 0 0 53 -0 53 0x123456789abcdep+52 39 -0 60 -0x123456789abcdep+52 N Z 0 0 53 +0 53 -0x123456789abcdep+52 37 +0 61 0x123456789abcdep+52 U U 0 0 53 -0 53 -0x123456789abcdep+52 35 -0 62 0x123456789abcdep+52 D U 0 0 53 +0 53 0x123456789abcdep+52 33 +0 63 -0x123456789abcdep+52 N U 0 0 53 -0 53 0x123456789abcdep+52 31 -0 64 -0x123456789abcdep+52 Z U 0 0 53 +0 53 -0x123456789abcdep+52 29 +0 65 0x123456789abcdep+52 D D 0 0 53 -0 53 -0x123456789abcdep+52 27 -0 66 0x123456789abcdep+52 N D 0 0 53 +0 53 0x123456789abcdep+52 25 +0 67 -0x123456789abcdep+52 Z D 0 0 53 -0 53 0x123456789abcdep+52 23 -0 68 -0x123456789abcdep+52 U D # non-exact return values - - 2 4 2 -8 3 5 3 7 N N - + 2 4 2 -6 3 5 3 7 D U + - 2 6 2 -8 3 5 3 7 U D - + 2 4 2 -6 3 5 3 7 Z Z mpc-1.3.1/tests/asin.dat0000644000175100017460000001665114345571363012034 00000000000000# Data file for mpc_asin. # # Copyright (C) 2009, 2011, 2013, 2014, 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(asin op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(asin op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) + 0 53 -0x1921FB54442D18p-53 53 -inf 53 -inf 53 -inf N N + 0 53 -0x1921FB54442D18p-52 53 -inf 53 -inf 53 -1 N N + 0 53 -0x1921FB54442D18p-52 53 -inf 53 -inf 53 -0 N N + 0 53 -0x1921FB54442D18p-52 53 +inf 53 -inf 53 +0 N N + 0 53 -0x1921FB54442D18p-52 53 +inf 53 -inf 53 +1 N N + 0 53 -0x1921FB54442D18p-53 53 +inf 53 -inf 53 +inf N N 0 0 53 nan 53 inf 53 -inf 53 nan N N 0 0 53 -0 53 -inf 53 -6 53 -inf N N 0 0 53 -0 53 +inf 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N 0 0 53 -0 53 -inf 53 -0.5 53 -inf N N 0 0 53 -0 53 +inf 53 -0.5 53 +inf N N 0 0 53 nan 53 nan 53 -0.5 53 nan N N 0 0 53 -0 53 -inf 53 -0 53 -inf N N 0 0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 -0 53 +inf 53 -0 53 +inf N N 0 0 53 -0 53 nan 53 -0 53 nan N N 0 0 53 +0 53 -inf 53 +0 53 -inf N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 +0 53 +inf 53 +0 53 +inf N N 0 0 53 +0 53 nan 53 +0 53 nan N N 0 0 53 +0 53 -inf 53 +0.5 53 -inf N N 0 0 53 +0 53 +inf 53 +0.5 53 +inf N N 0 0 53 nan 53 nan 53 +0.5 53 nan N N 0 0 53 +0 53 -inf 53 +6 53 -inf N N 0 0 53 +0 53 +inf 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N - 0 53 0x1921FB54442D18p-53 53 -inf 53 +inf 53 -inf N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 +inf 53 -1 N N - 0 53 0x1921FB54442D18p-52 53 -inf 53 +inf 53 -0 N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 +inf 53 +0 N N - 0 53 0x1921FB54442D18p-52 53 +inf 53 +inf 53 +1 N N - 0 53 0x1921FB54442D18p-53 53 +inf 53 +inf 53 +inf N N 0 0 53 nan 53 inf 53 +inf 53 nan N N 0 0 53 nan 53 -inf 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 -0 N N 0 0 53 nan 53 nan 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 nan 53 +inf 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument + - 53 -0x1921FB54442D18p-52 53 -0x1ECC2CAEC5160Ap-53 53 -1.5 53 -0 N N + + 53 -0x1921FB54442D18p-52 53 0x1ECC2CAEC5160Ap-53 53 -1.5 53 +0 N N + 0 53 -0x1921FB54442D18p-52 53 -0 53 -1 53 -0 N N + 0 53 -0x1921FB54442D18p-52 53 +0 53 -1 53 +0 N N - 0 53 -0x10C152382D7366p-53 53 -0 53 -0.5 53 -0 N N - 0 53 -0x10C152382D7366p-53 53 +0 53 -0.5 53 +0 N N + 0 53 0x10C152382D7366p-53 53 -0 53 +0.5 53 -0 N N + 0 53 0x10C152382D7366p-53 53 +0 53 +0.5 53 +0 N N - 0 53 0x1921FB54442D18p-52 53 -0 53 +1 53 -0 N N - 0 53 0x1921FB54442D18p-52 53 +0 53 +1 53 +0 N N - - 53 0x1921FB54442D18p-52 53 -0x1ECC2CAEC5160Ap-53 53 +1.5 53 -0 N N - + 53 0x1921FB54442D18p-52 53 0x1ECC2CAEC5160Ap-53 53 +1.5 53 +0 N N # pure imaginary argument 0 + 53 -0 53 -0x131DC0090B63D8p-52 53 -0 53 -1.5 N N 0 + 53 +0 53 -0x131DC0090B63D8p-52 53 +0 53 -1.5 N N 0 - 53 -0 53 -0x1C34366179D427p-53 53 -0 53 -1 N N 0 - 53 +0 53 -0x1C34366179D427p-53 53 +0 53 -1 N N 0 - 53 -0 53 -0x1ECC2CAEC5160Ap-54 53 -0 53 -0.5 N N 0 - 53 +0 53 -0x1ECC2CAEC5160Ap-54 53 +0 53 -0.5 N N 0 + 53 -0 53 0x1ECC2CAEC5160Ap-54 53 -0 53 +0.5 N N 0 + 53 +0 53 0x1ECC2CAEC5160Ap-54 53 +0 53 +0.5 N N 0 + 53 -0 53 0x1C34366179D427p-53 53 -0 53 +1 N N 0 + 53 +0 53 0x1C34366179D427p-53 53 +0 53 +1 N N 0 - 53 -0 53 0x131DC0090B63D8p-52 53 -0 53 +1.5 N N 0 - 53 +0 53 0x131DC0090B63D8p-52 53 +0 53 +1.5 N N # IEEE-754 double precision and other precisions + - 53 0x189BF9EC7FCD5Bp-54 53 0x1206ECFA94614Bp-50 53 17 53 42 N N - + 2 1.5 2 6 2 96 2 0x1p-8 N N - - 8 0xC9p-7 8 0x15p-2 2 96 2 0x1p-8 N N # special cases 1 + i*y with tiny y - - 53 0x3243f6a8885a3p-49 53 0x1p-500 53 1 53 0x1p-1000 N N - + 53 0x3243f6a8885a3p-49 53 -0x1p-500 53 1 53 -0x1p-1000 N N - - 11 0xc9p-7 11 0xb5p-28 11 1 11 0x1p-41 N N - + 53 0x3243f6a8885a3p-49 53 0x16a09e667f3bcdp-552 53 1 53 0x1p-999 N N - + 2 1.5 2 0x1p-40 2 1 20 0xff802p-100 N N - - 24 -0x1p-148 24 -0xc.75cp-20 24 -0x1p-148 24 -0xc.75cp-20 N N # this test failed before the 1.3.0 release ? ? 9 -0x1.72p+0 9 -0x1.e4p-5 9 -0x1.fdp-1 9 -0x1.dcp-8 Z N # test case for asin_taylor1 + - 7 0b1.000001p-2 4 0b1p-9 2 0b1p-2 2 0b1p-9 N N - + 26 -0b1.0000001010111110100111010p-2 15 -0b1.00001000011001p-20 2 -0b1p-2 2 -0b1p-20 N N mpc-1.3.1/tests/mul.dsc0000644000175100017460000000156613227377425011700 00000000000000# Description file for mpc_mul # # Copyright (C) 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_mul RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tmul_ui.c0000644000175100017460000000226513227377425012227 00000000000000/* tmul_ui -- test file for mpc_mul_ui. Copyright (C) 2002, 2005, 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul_ui (P[1].mpc, P[2].mpc, P[3].si, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul_ui (P[1].mpc, P[1].mpc, P[3].si, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("mul_ui.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/targ.c0000644000175100017460000000211513227377425011500 00000000000000/* targ -- test file for mpc_arg. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpfr_inex = mpc_arg (P[1].mpfr, P[2].mpc, P[3].mpfr_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("arg.dsc", "arg.dat"); tgeneric_template ("arg.dsc", 2, 1024, 1, 4096); test_end (); return 0; } mpc-1.3.1/tests/inp_str.dat0000644000175100017460000002056512426164730012551 00000000000000# Data file for mpc_inp_str. # # Copyright (C) 2009 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The format respects the parameter order in function prototype as follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM SIZE BASE RND_RE RND_IM "STRING" # # The string STRING is considered as a complex number rop = rop1 + i*rop2 # written in base BASE as "rop1 " if rop is real or "(rop1 rop2)". Notice that # a least one whitespace is required after real part # # ROP_RE is checked against rop1 rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against rop2 rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "!" function should return error indicator -1 # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # invalid strings ! ! 53 nan 53 nan 3 10 N N "non " ! ! 53 nan 53 nan 4 10 N N " NON " ! ! 53 nan 53 nan 5 10 N N "nan(0 1) " #invalid space in brackets ! ! 53 nan 53 nan 5 10 N N "nan(0-1) " #invalid char in brackets ! ! 53 nan 53 nan 4 10 N N "NaN((keepout)) " #two levels of parenthesis ! ! 53 nan 53 nan 4 10 N N "(1e1) " #one part missing ! ! 53 nan 53 nan 1 10 N N ". " #no digit ! ! 53 nan 53 nan 2 2 N N "+3 " #invalid binary digit ! ! 53 nan 53 nan 6 10 N N "( +INF) " #one part missing ! ! 53 nan 53 nan 2 10 N N "(1(1))" #too many levels of parentheses ! ! 53 nan 53 nan 3 10 N N "(1 (1 (1 0)))" ! ! 53 nan 53 nan 1 10 N N "((1 1)) " ! ! 53 nan 53 nan 6 10 N N "(1 +1 " #closing parenthesis missing ! ! 53 nan 53 nan 4 10 N N "(1+1) " #space needed ! ! 53 nan 53 nan 5 10 N N "(1 + 1) " #space after sign ! ! 53 nan 53 nan 17 10 N N "(@nan@(quiet) 0 " #closing parenthesis missing ! ! 53 nan 53 nan 4 10 N N "zero " #invalid digits ! ! 53 nan 53 nan 3 10 N N "&^+ " #invalid digits ! ! 53 nan 53 nan 1 18 N N "i " #invalid digit ! ! 53 nan 53 nan 1 18 N N "I " #invalid digit ! ! 53 nan 53 nan 1 35 N N "z " #invalid digit ! ! 53 nan 53 nan 1 35 N N "Z " #invalid digit ! ! 53 nan 53 nan 5 18 N N "(i 0) " #invalid digit ! ! 53 nan 53 nan 5 18 N N "(I 0) " #invalid digit ! ! 53 nan 53 nan 5 35 N N "(z 0) " #invalid digit ! ! 53 nan 53 nan 5 35 N N "(Z 0) " #invalid digit ! ! 53 nan 53 nan 5 18 N N "(0 i) " #invalid digit ! ! 53 nan 53 nan 5 18 N N "(0 I) " #invalid digit ! ! 53 nan 53 nan 5 35 N N "(0 z) " #invalid digit ! ! 53 nan 53 nan 5 35 N N "(0 Z) " #invalid digit ! ! 53 nan 53 nan 7 10 N N "-25p+32 " #invalid exponent char in base 10 ! ! 53 nan 53 nan 6 10 N N "0xabcd " #invalid prefix in base 10 ! ! 53 nan 53 nan 6 10 N N "+0b010 " #invalid prefix in base 10 # special values 0 0 53 nan 53 +0 3 10 N N "nan " 0 0 53 nan 53 +0 4 10 N N "+NAN " 0 0 53 nan 53 +0 5 10 N N "@NAN@ " 0 0 53 nan 53 nan 18 10 N N "(@nan@(QUIET) nan) " 0 0 53 nan 53 +0 5 10 N N "@nan@ " 0 0 53 nan 53 +0 12 10 N N "NaN(keepout) " 0 0 53 nan 53 +0 122 10 N N "Nan(very_long_suffix_oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo) " 0 0 53 nan 53 +0 8 10 N N "nan(0_1) " 0 0 53 nan 53 +0 3 10 N N "nan " 0 0 53 inf 53 +0 3 10 N N "inf " 0 0 53 -inf 53 +0 4 10 N N "-inf " 0 0 53 +inf 53 +0 8 10 N N "infinity " 0 0 53 +inf 53 +0 4 10 N N "+INF " 0 0 53 +0 53 +inf 8 10 N N "(0 +inf) " 0 0 53 +0 53 +inf 12 10 N N "(+0 INF) " 0 0 53 +0 53 -inf 13 10 N N "(0 -infinity) " 0 0 53 +0 53 -inf 9 10 N N "(+0 -INF) " 0 0 53 -inf 53 -0 11 10 N N "(-@inf@ -0) " 0 0 53 +inf 53 nan 17 10 N N "(+inf nan(9u137)) " 0 0 53 nan 53 +inf 12 10 N N "(NaN +inf ) " # pure real argument 0 0 53 +0 53 +0 1 10 N N "0 " 0 0 53 +0 53 +0 5 10 N N "00000 " 0 0 53 +0 53 +0 2 10 N N "+0 " 0 0 53 -0 53 +0 2 10 N N "-0 " 0 0 53 +1 53 +0 1 10 N N "1 " 0 0 53 +1 53 +0 3 10 N N "001 " 0 0 53 +1 53 +0 6 10 N N "1.0000 " 0 0 53 +1 53 +0 2 10 N N "+1) " - 0 53 +0x9D70A3D70A3D7p-51 53 +0 11 10 N N "(+1.23 0.0) " 0 0 53 -10 53 +0 11 10 N N "(-10. 0000) " 0 0 53 +0x5p-3 53 -0 12 10 N N "( .625 -0 )" - 0 53 +0x14E718D7D7625Ap+612 53 +0 10 10 N N "(1e200 0) " + 0 53 +0x14E718D7D7625Bp+612 53 +0 10 10 U N "(1e200 0) " - 0 53 +0x14E718D7D7625Ap+612 53 +0 10 10 D N "(1e200 0) " 0 0 53 +0x7530 53 +0 8 10 N N "(3e+4 0) " - 0 53 +0x10C6F7A0B5ED8Dp-73 53 +0 5 10 N N ".5e-6 " - 0 53 +0x1B1C1E0D914133p-83 53 +0 12 10 N N "(7.89E-10 0) " + 0 53 -0x7B426FAB61F00Cp+56 53 +0 7 10 N N "-25@+32 " 0 0 53 +43981 53 +0 6 16 N N "0xabcd " 0 0 53 +2 53 +0 6 2 N N "+0b010 " 0 0 53 +18 53 +0 1 20 N N "i " 0 0 53 +18 53 +0 1 19 N N "i " 0 0 53 +35 53 +0 1 36 N N "z " 0 0 53 +35 53 +0 1 36 N N "Z " # pure imaginary argument 0 0 53 +0 53 +1 5 10 N N "(0 1) " 0 0 53 +0 53 +1 6 20 N N "(0 +1) " 0 0 53 -0 53 -1 7 10 N N "(-0 -1) " 0 0 53 -0 53 -2 7 10 N N "(-0 -2) " 0 0 53 +0 53 +2 6 10 N N "(+0 2) " 0 0 53 +0 53 +17 5 20 N N "(0 h) " 0 0 53 +0 53 +18 5 20 N N "(0 i) " 0 + 53 +0 53 -0x14F800008637BDp-44 19 10 N Z "(0 -33.55000005e+1) " 0 + 53 +0 53 -0xA1765976008AFp-401 18 10 N U "(+0 -.550000E-105) " 0 0 53 +0 53 +18 5 19 N N "(0 i) " 0 0 53 +0 53 +18 5 19 N N "(0 I) " 0 0 53 +0 53 +35 5 36 N N "(0 z) " 0 0 53 +0 53 +35 5 36 N N "(0 Z) " # complex argument 0 0 53 +1 53 +1 10 10 N N "( 1 +1) " 0 0 53 +1 53 +1 8 10 N N "(1 +1) " 0 0 53 +7 53 +14 7 10 N N "(7 14) " 0 0 53 +17 53 +1 7 10 N N "(+17 1) " 0 0 53 +27 53 +1 8 20 N N "(+17 +1) " 0 0 53 -18 53 -1 7 20 N N "(-i -1) " 0 0 53 +18 53 -1 6 20 N N "(i -1) " 0 0 53 -18 53 +1 7 20 N N "(-i +1) " 0 0 53 +18 53 +18 6 20 N N "(i +i) " 0 0 53 -14643 53 +20328 10 36 N N "(-bar foo) " 0 0 53 -1647190 53 -512315 13 36 N N "(-zaza -azaz) " 0 0 53 +0b1010 53 +0xabcd 16 0 N N "(0b1010 +0xabcd) " 0 0 53 +0xabcd 53 +0b1010 22 0 N N "(+0xa.bcd@+3 0b.101p4) " # white space before the closing ')' 0 0 53 +1 53 +1 13 10 N N "( 1 +1 ) " mpc-1.3.1/tests/sub_fr.dsc0000644000175100017460000000161713227377425012360 00000000000000# Description file for mpc_sub_fr # # Copyright (C) 2008, 2010, 2011, 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_sub_fr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpfr_srcptr mpc_rnd_t mpc-1.3.1/tests/tstrtoc.c0000644000175100017460000001052213227377425012246 00000000000000/* tstrtoc -- test file for mpc_strtoc. Copyright (C) 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include #include "mpc-tests.h" extern unsigned long line_number; extern int nextchar; extern char *pathname; /* names of rounding modes */ extern const char *mpc_rnd_mode[]; static void check_file (const char* file_name) { FILE *fp; unsigned long test_line_number; size_t str_len = 255; char *str = NULL; size_t rstr_len = 255; char *rstr = NULL; char *end = NULL; int base; int inex_re; int inex_im; mpc_t expected, got; mpc_rnd_t rnd = MPC_RNDNN; int inex = 0, inex_expected; known_signs_t ks = {1, 1}; fp = open_data_file (file_name); /* initializations */ str = (char *) malloc (str_len); if (str == NULL) { printf ("Cannot allocate memory\n"); exit (1); } rstr = (char *) malloc (rstr_len); if (rstr == NULL) { printf ("Cannot allocate memory\n"); exit (1); } mpc_init2 (expected, 53); mpc_init2 (got, 53); /* read data file */ line_number = 1; nextchar = getc (fp); while (nextchar != EOF) { skip_whitespace_comments (fp); /* 1. read a line of data: expected result, base, rounding mode */ test_line_number = line_number; read_ternary (fp, &inex_re); read_ternary (fp, &inex_im); read_mpc (fp, expected, NULL); if (inex_re == TERNARY_ERROR || inex_im == TERNARY_ERROR) inex_expected = -1; else inex_expected = MPC_INEX (inex_re, inex_im); str_len = read_string (fp, &str, str_len, "number string"); rstr_len = read_string (fp, &rstr, rstr_len, "string remainder"); read_int (fp, &base, "base"); read_mpc_rounding_mode (fp, &rnd); /* 2. convert string at the same precision as the expected result */ mpfr_set_prec (mpc_realref (got), MPC_PREC_RE (expected)); mpfr_set_prec (mpc_imagref (got), MPC_PREC_IM (expected)); inex = mpc_strtoc (got, str, &end, base, rnd); /* 3. compare this result with the expected one */ if (inex != inex_expected || !same_mpc_value (got, expected, ks) || strcmp (end, rstr) != 0) { printf ("mpc_strtoc(str) failed (line %lu)\nwith base=%d and " "rounding mode %s\n", test_line_number, base, mpc_rnd_mode[rnd]); if (inex != MPC_INEX (inex_re, inex_im)) printf ("ternary value: got %s, expected (%s, %s)\n", MPC_INEX_STR (inex), (inex_re == +1 ? "+1" : (inex_re == -1 ? "-1" : "0")), (inex_im == +1 ? "+1" : (inex_im == -1 ? "-1" : "0"))); printf ("str = \"%s\"\n", str); if (strcmp (end, rstr) != 0) printf ("string remainder expected \"%s\"\n" " got \"%s\"\n", rstr, end); else { printf (" "); MPC_OUT (got); MPC_OUT (expected); } exit (1); } end = NULL; } mpc_clear (expected); mpc_clear (got); if (str != NULL) free (str); if (rstr != NULL) free (rstr); close_data_file (fp); } static void check_null (void) { int inex; char *end; mpc_t z; mpc_init2 (z, 53); inex = mpc_strtoc (z, NULL, &end, 10, MPC_RNDNN); if (end != NULL || inex != -1 || mpfr_nan_p (mpc_realref (z)) == 0 || mpfr_nan_p (mpc_imagref (z)) == 0) { printf ("Error: mpc_strtoc(z, NULL) with a NULL pointer should fail" " and the z value should be set to NaN +I*NaN\ngot "); MPC_OUT (z); exit (1); } mpc_clear (z); } int main (void) { check_null (); check_file ("strtoc.dat"); return 0; } mpc-1.3.1/tests/pow.dat0000644000175100017460000006420113227377425011702 00000000000000# Data file for mpc_pow. # # Copyright (C) 2009, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add.dat. 0 0 53 +1 53 0 53 nan 53 +0 53 +0 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -inf 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 -1 N N 0 0 53 inf 53 nan 53 +inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 -1 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 -1 N N # zeros with determined sign, see algorithms.tex # x^0 = +1 +sign(Im(x))*sign(Re(y))*0i when |x|=1 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 +0 53 +0 N D #round toward -oo 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 -0 N N # x^0 = +1 +sign(Im(y))*0i when |x| > 1 0 0 53 +1 53 +0 53 +inf 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +3 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -inf 53 -inf 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 -5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +5 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N # x^0 = +1 -sign(Im(y))*0i when 1 > |x| > 0 0 0 53 +1 53 -0 53 +0.5 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -0.5 53 -0 53 -0 N N # determined sign of imaginary part in pure real powers 0 0 53 +9 53 +0 53 +3 53 +0 53 +2 53 +0 N N 0 0 53 +9 53 -0 53 +3 53 -0 53 +2 53 -0 N N 0 0 53 0.25 53 +0 53 +2 53 -0 53 -2 53 +0 N N 0 0 53 0.25 53 -0 53 +2 53 +0 53 -2 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 -0 N N 0 0 53 0.25 53 +0 53 +0.5 53 +0 53 +2 53 -0 N N 0 0 53 0.25 53 -0 53 +0.5 53 -0 53 +2 53 +0 N N 0 0 53 +4 53 +0 53 +0.5 53 -0 53 -2 53 -0 N N 0 0 53 +4 53 -0 53 +0.5 53 +0 53 -2 53 +0 N N # pure real power with nondetermined sign in imaginary part 0 0 53 1 53 0 53 +2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 4 53 0 53 +2 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 -0 N N 0 0 53 4 53 0 53 +2 53 +0 53 +2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 -0 53 -2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 -0 N N # when (+/-1 +/-0i)^y is pure real 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +1 N N 0 0 53 1 53 0 53 +1 53 -0 53 -1 53 +2 N N 0 0 53 1 53 0 53 +1 53 -0 53 -0 53 +1 N N - 0 53 +0x10BBEEE9177E19p-43 53 0 53 -1 53 -0 53 -0 53 +2 N N + 0 53 +0x1E989F5D6DFF5Cp-62 53 0 53 -1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 -1 53 -1 N N 0 0 53 1 53 0 53 +1 53 +0 53 -0 53 -1 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 +0 53 -0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -1 53 -0 53 +0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -3 N N + 0 53 +0x1D4102BC3F7D4Cp-71 53 0 53 -1 53 +0 53 +0 53 +4 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 -0 53 -0 53 +1 N N # when (0 +/-i)^y is pure real + 0 53 +0x1724046EB0933Ap-48 53 0 53 -0 53 -1 53 -0 53 +2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 +0 53 -1 53 -0 53 +3 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 +0 53 +1 53 +0 53 +2 N N - 0 53 +0x1265D4E92B6B9Bp-59 53 0 53 -0 53 +1 53 +0 53 +3 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 +0 53 +1 53 -0 53 -2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 -0 53 +1 53 -0 53 -3 N N - 0 53 +0x1A9BCC46F767DFp-55 53 0 53 +0 53 -1 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -0 53 -1 53 +0 53 -2 N N # exact cases # (-1)^(1/2) = i 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N # (-4)^(1/4) = 1+i 0 0 2 1 2 1 2 -4 2 0 2 0x1p-2 2 0 N N # for an odd positive integer n, a positive integer m and an integer e: # (-4 m^4 16^e)^(n/4) = (1+i)^n m^n 2^(e n) # m=3 e=5 n=7 0 0 12 0x88Bp38 12 -0x88Bp38 7 -0x51p22 7 0 3 0x7p-2 3 0 N N # (-4 16^e)^(-n/4) = (1-i)^n 2^(- (e+1) n) # e=3 n=5 0 0 2 -0x1p-18 2 0x1p-18 2 -0x1p14 2 0 3 -0x5p-2 3 0 N N # e=2 n=5 0 0 2 -0x1p-13 2 0x1p-13 2 -0x1p10 2 0 3 -0x5p-2 3 0 N N # (+2 +0)^(-3 -0) -> (-1/8 -0) # x = 2 + epsilon*i, y = -3 - delta*i # log(x) = log(2) + epsilon/2*i + O(epsilon^2) # y*log(x) = [-3*log(2) + o(1)] + [-3*epsilon/2-delta*log(2)]*i 0 0 2 0x1p-3 2 -0 2 2 2 +0 2 -3 2 -0 N N # (-2 -0)^(3 +0) -> (-8 -0) # x = -2 - epsilon*i, y = 3 + delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ 3*log(2) + [-3*Pi+3*epsilon/2+delta*log(2)]*i 0 0 2 -8 2 -0 2 -2 2 -0 2 3 2 +0 N N # (-2 -0)^(-3 -0) -> (-1/8 +0) # x = -2 - epsilon*i, y = -3 - delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ -3*log(2) + [3*Pi-3*epsilon/2-delta*log(2)]*i 0 0 2 -0x1p-3 2 +0 2 -2 2 -0 2 -3 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 2 -1 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 65 -1 2 -0 N N + + 2 -0x3p-64 2 -2 2 +0 2 0x1p-1 65 -0x10000000000000001p-64 2 -0 N N 0 - 2 +0 3 -5 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -1 2 -0 N N # undefined zero sign in result - 0 5 -25 2 0 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -2 2 -0 N N - - 53 -0x85649E3220691p-63 53 -0x14A25D455A9D0Dp-60 3 5 2 3 2 -3 2 +0 N N + 0 53 0xABCC77118461Dp-74 2 +0 3 5 3 5 2 -8 2 +0 N N + 0 53 -0x127DB86014739Dp-93 2 -0 2 -1 2 -0 2 1 4 -9 N N + + 24 0xC1F98Dp-21 24 0x12FF89p-2 24 -7 24 +0 24 0xCFFFF3p-21 24 +0 N N # underflow case - - 24 +0 24 +0 24 2 24 0x44CCCDp-20 24 -0x7FFFF200 24 -0x7FFFF200 N N - 0 53 0x14D55AFA6E0BB0p210433620 53 0 53 +0 53 0x44CCCCFFFFFFFp-48 53 0x5F5E100 53 +0 N N - 0 53 0x14D55B174EE67Ep210433620 53 0 53 +0 53 0x44CCCDp-20 53 0x5F5E100 53 +0 N N 0 0 24 -10 24 198 24 5 24 3 24 3 24 +0 N N + - 113 0x1731C86FF8E8C7D80C8F1C83460B7p-38951 113 0x1CE5ECB8E88C769AF45FA662568CFp-38950 113 2 113 0x11333333333333333333333333333p-110 113 -10000 113 10000 N N - - 652 0x8E0380781E0124C92903E153123260CEF2C8821EDEC1D518A270FD55720DB5114D3D72CEE0E51CCEAA532FC6DA983707E66AE0E1A5E116D72AF5F2420D8402BE3E7FF03658E7ADFE2667C67291D74877383p-651 652 -0xB5FECD07C42E7AEE5A3489729B566DB4C6284C575E281585B0BFA711859D178BD8B07352B58BF615DD2DEC68798F0D2A644D5D18149D12BC53F851C5908F1EDE1C71F2B8D4934B1CE932AB94C0B8AE54C73p-665 163 0x5E9BDCC756D1E864413EA56F2A35C6D7D58DD117Bp-158 163 -0xE6BCC7A0E6EC5F2B1CBCF2707D829C2CB1A56FCFp-164 163 0x21A13BA8E157F23649FC27B031EAA12B826FB7E9Dp-166 163 0 N N 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N + + 2 -0x3p-65 2 1 2 -1 2 0 65 0x10000000000000001p-65 2 0 N N 0 0 2 1 2 +0 65 0x10000000000000001p-64 2 +0 2 +0 2 +0 N N 0 0 2 1 2 -0 65 0xFFFFFFFFFFFFFFFFp-64 2 +0 2 +0 2 +0 N N 0 + 2 +0 2 0.75 2 -0.5 2 0 2 0.5 2 0 N N 0 0 2 0 2 2 2 1 2 1 2 2 2 +0 N N # I^2 = -1 0 0 2 -1 2 +0 2 +0 2 1 2 2 2 +0 N N + 0 2 -1 2 +0 2 +0 65 0x10000000000000001p-64 2 2 2 +0 N N # overflow cases - - 2 -inf 2 -inf 2 3 2 1 28 744261116 2 +0 N N - + 2 -inf 2 +inf 2 3 2 -1 28 744261116 2 +0 N N + + 2 +inf 2 +inf 2 4 2 3 28 744261116 2 +0 N N + - 2 +inf 2 -inf 2 4 2 -3 28 744261116 2 +0 N N # underflow cases + - 2 -0 2 +0 2 3 2 1 28 -744261116 2 +0 N N + + 2 -0 2 -0 2 3 2 -1 28 -744261116 2 +0 N N - + 2 +0 2 -0 2 4 2 3 28 -744261116 2 +0 N N - - 2 +0 2 +0 2 4 2 -3 28 -744261116 2 +0 N N # exact powers with non-integer exponent 0 0 2 1 2 1 2 0 2 2 2 0.5 2 0 N N 0 0 2 -2 2 2 2 0 2 2 2 1.5 2 0 N N 0 0 2 1 2 64 12 -4095 2 128 2 0.5 2 0 N N 0 0 3 5 2 3 2 16 4 30 2 0.5 2 0 N N 0 0 7 97 7 99 6 -392 14 19206 2 0.5 2 0 N N 0 0 6 63 6 61 5 248 18 7686 2 0.5 2 0 N N 0 0 6 63 6 61 24 -59013092 17 3812256 2 0.25 2 0 N N 0 + 2 0 2 0x3p-6 2 -1 2 0 2 0.5 2 1 N N + + 2 6 2 1 41 -0x2ce019e6f1e 36 0x1878418ba20 2 0.0625 2 0 N N + + 4 11 2 1 111 -0x73558286726957f922819cbeffff 109 0x1c484a8b32dbf409e966a8c00000 2 0x1p-5 2 0 N N + + 5 21 2 1 282 -0x24ea91ddba938e750d999f1075444e15d6ca0fff6a19c8cbefe6260261fd57effffffff 278 0x390aa828a3d933391ab999b0b0aa71aafbfc7b127fe30c84d107634940ba8000000000 2 0x1p-6 2 0 N N + - 53 0x7f661e2bd0db5p-51 53 0xc63ee1a1c4d19p-55 2 0x1p1000 2 0 2 0 2 0x1p1000 N N # bug reported by Joseph Myers (07 Apr 2015) + - 2 -0x3p1073741819 2 0x3p1073741819 2 1 2 2 2 0x1p1000 2 0 Z Z mpc-1.3.1/tests/sqr.dsc0000644000175100017460000000154613227377425011706 00000000000000# Description file for mpc_sqr # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_sqr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/mul_fr.dsc0000644000175100017460000000153113227377425012357 00000000000000# Description file for mpc_mul_fr # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_mul_fr RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpfr_srcptr mpc_rnd_t mpc-1.3.1/tests/exp.dsc0000644000175100017460000000150313227377425011666 00000000000000# Description file for mpc_exp # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_exp RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/atanh.dsc0000644000175100017460000000150713227377425012171 00000000000000# Description file for mpc_atanh # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_atanh RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tatan.c0000644000175100017460000000401613227377425011654 00000000000000/* tatan -- test file for mpc_atan. Copyright (C) 2009, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #if 0 /* tests intermediate underflow; WONTFIX */ static int test_underflow (void) { mpc_t z; mpfr_exp_t emin = mpfr_get_emin (); mpfr_set_emin (-10); mpc_init2 (z, 21); mpfr_set_si (mpc_realref(z), -1, MPFR_RNDZ); mpfr_set_ui_2exp (mpc_imagref(z), 1, 20, MPFR_RNDZ); mpfr_add_ui (mpc_imagref(z), mpc_imagref(z), 1, MPFR_RNDZ); mpfr_div_2exp (mpc_imagref(z), mpc_imagref(z), 20, MPFR_RNDZ); mpc_atan (z, z, MPC_RNDNN); if (mpfr_cmp_si_2exp (mpc_realref(z), -1066635, 20) != 0 || mpfr_cmp_si_2exp (mpc_imagref(z), 1687619, 22)) { printf ("Error in test_coverage\n"); printf ("expected (-1066635/2^20 1687619/2^22)\n"); printf ("got "); mpc_out_str (stdout, 10, 20, z, MPC_RNDNN); printf ("\n"); exit (1); } mpc_clear (z); mpfr_set_emin (emin); } #endif #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_atan (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_atan (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("atan.dsc", "atan.dat"); tgeneric_template ("atan.dsc", 2, 512, 5, 128); test_end (); return 0; } mpc-1.3.1/tests/pow_fr.dat0000644000175100017460000000713514345571363012373 00000000000000# Data file for mpc_pow_fr. # # Copyright (C) 2011, 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add_fr.dat. 0 0 5 -9 5 46 5 3 5 2 3 3 N N # (-0 -0.75)^4 = (0.31640625 -0) is rounded to (0.375 -0) + 0 2 0x3p-3 2 -0 2 -0 2 -0x3p-2 2 4 N N 0 0 8 0x51p-8 2 -0 2 -0 2 -0x3p-2 2 4 N N # (+0 -0.75)^4 = (0.31640625 +0) is rounded to (0.375 +0) + 0 2 0x3p-3 2 +0 2 +0 2 -0x3p-2 2 4 N N 0 0 8 0x51p-8 2 +0 2 +0 2 -0x3p-2 2 4 N N # (-0 0.75)^5 = (0.31640625 +0) is rounded to (0.375 +0) + 0 2 0x3p-3 2 +0 2 -0 2 0x3p-2 2 4 N N 0 0 8 0x51p-8 2 +0 2 -0 2 0x3p-2 2 4 N N # (+0 0.75)^5 = (0.31640625 -0) is rounded to (0.375 -0) + 0 2 0x3p-3 2 -0 2 +0 2 0x3p-2 2 4 N N 0 0 8 0x51p-8 2 -0 2 +0 2 0x3p-2 2 4 N N # (-0 -0.75)^5 = (-0 -0.2373046875) is rounded to (-0 -0.25) 0 - 2 -0 2 -0x1p-2 2 -0 2 -0x3p-2 3 5 N N 0 0 8 -0 8 -0xf3p-10 2 -0 2 -0x3p-2 3 5 N N # (+0 -0.75)^5 = (+0 -0.2373046875) is rounded to (+0 -0.25) 0 - 2 +0 2 -0x1p-2 2 +0 2 -0x3p-2 3 5 N N 0 0 8 +0 8 -0xf3p-10 2 +0 2 -0x3p-2 3 5 N N # (-0 0.75)^5 = (-0 0.2373046875) is rounded to (-0 0.25) 0 + 2 -0 2 0x1p-2 2 -0 2 0x3p-2 3 5 N N 0 0 8 -0 8 0xf3p-10 2 -0 2 0x3p-2 3 5 N N # (+0 0.75)^5 = (+0 0.2373046875) is rounded to (+0 0.25) 0 + 2 +0 2 0x1p-2 2 +0 2 0x3p-2 3 5 N N 0 0 8 +0 8 0xf3p-10 2 +0 2 0x3p-2 3 5 N N # (-0 -0.75)^6 = (-0.177978515625 +0) is rounded to (-0.1875 +0) - 0 2 -0x3p-4 2 +0 2 -0 2 -0x3p-2 3 6 N N + 0 8 -0x5bp-9 8 +0 2 -0 2 -0x3p-2 3 6 N N # (+0 -0.75)^6 = (-0.177978515625 -0) is rounded to (-0.1875 -0) - 0 2 -0x3p-4 2 -0 2 +0 2 -0x3p-2 3 6 N N + 0 8 -0x5bp-9 8 -0 2 +0 2 -0x3p-2 3 6 N N # (-0 0.75)^6 = (-0.177978515625 -0) is rounded to (-0.1875 -0) - 0 2 -0x3p-4 2 -0 2 -0 2 0x3p-2 3 6 N N + 0 8 -0x5bp-9 8 -0 2 -0 2 0x3p-2 3 6 N N # (+0 0.75)^6 = (-0.177978515625 +0) is rounded to (-0.1875 +0) - 0 2 -0x3p-4 2 +0 2 +0 2 0x3p-2 3 6 N N + 0 8 -0x5bp-9 8 +0 2 +0 2 0x3p-2 3 6 N N # (-0 -0.75)^7 = (+0 0.13348388671875) is rounded to (+0 0.125) 0 - 2 +0 2 0x1p-3 2 -0 2 -0x3p-2 3 7 N N 0 + 8 +0 8 0x89p-10 2 -0 2 -0x3p-2 3 7 N N # (+0 -0.75)^7 = (-0 0.13348388671875) is rounded to (-0 0.125) 0 - 2 -0 2 0x1p-3 2 +0 2 -0x3p-2 3 7 N N 0 + 8 -0 8 0x89p-10 2 +0 2 -0x3p-2 3 7 N N # (-0 0.75)^7 = (+0 -0.13348388671875) is rounded to (+0 -0.125) 0 + 2 +0 2 -0x1p-3 2 -0 2 0x3p-2 3 7 N N 0 - 8 +0 8 -0x89p-10 2 -0 2 0x3p-2 3 7 N N # (+0 0.75)^7 = (-0 -0.13348388671875) is rounded to (-0 -0.125) 0 + 2 -0 2 -0x1p-3 2 +0 2 0x3p-2 3 7 N N 0 - 8 -0 8 -0x89p-10 2 +0 2 0x3p-2 3 7 N N # issue revealed by random tests (with GMP_CHECK_RANDOMIZE=1669437260) - 0 2 -0x3p-29 2 +0 2 0x1.8p-8 2 0x1.8p-8 2 4 N N - 0 2 -0x3p-29 2 +0 2 0x1.8p-8 2 -0x1.8p-8 2 4 N N 0 - 2 +0 2 0x1p-14 2 0x1.8p-8 2 0x1.8p-8 2 2 N N 0 + 2 +0 2 -0x1p-14 2 0x1.8p-8 2 -0x1.8p-8 2 2 N N # issue revealed by random tests (with GMP_CHECK_RANDOMIZE=1670627686) 0 + 2 +0 2 -0x3p-18 2 -0x3p6 2 -0x3p6 2 -2 N Z mpc-1.3.1/tests/real.dsc0000644000175100017460000000155313227377425012022 00000000000000# Description file for mpc_real # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_real RETURN: mpfr_inex OUTPUT: mpfr_ptr INPUT: mpc_srcptr mpfr_rnd_t mpc-1.3.1/tests/atanh.dat0000644000175100017460000001332713227377425012173 00000000000000# Data file for mpc_atanh. # # Copyright (C) 2009, 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(atan op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(atan op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 + 53 -0 53 -0x1921FB54442D18p-52 53 -inf 53 -inf N N 0 + 53 -0 53 -0x1921FB54442D18p-52 53 -inf 53 -1 N N 0 + 53 -0 53 -0x1921FB54442D18p-52 53 -inf 53 -0 N N 0 - 53 -0 53 +0x1921FB54442D18p-52 53 -inf 53 +0 N N 0 - 53 -0 53 +0x1921FB54442D18p-52 53 -inf 53 +1 N N 0 - 53 -0 53 +0x1921FB54442D18p-52 53 -inf 53 +inf N N 0 0 53 -0 53 nan 53 -inf 53 nan N N 0 + 53 -0 53 -0x1921FB54442D18p-52 53 -6 53 -inf N N 0 - 53 -0 53 +0x1921FB54442D18p-52 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N 0 + 53 -0 53 -0x1921FB54442D18p-52 53 -0 53 -inf N N 0 0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 -0 53 +0 53 -0 53 +0 N N 0 - 53 -0 53 +0x1921FB54442D18p-52 53 -0 53 +inf N N 0 0 53 -0 53 nan 53 -0 53 nan N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +0 53 -inf N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N 0 - 53 +0 53 +0x1921FB54442D18p-52 53 +0 53 +inf N N 0 0 53 +0 53 nan 53 +0 53 nan N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +6 53 -inf N N 0 - 53 +0 53 +0x1921FB54442D18p-52 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +inf 53 -inf N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +inf 53 -1 N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +inf 53 -0 N N 0 - 53 +0 53 +0x1921FB54442D18p-52 53 +inf 53 +0 N N 0 - 53 +0 53 +0x1921FB54442D18p-52 53 +inf 53 +1 N N 0 - 53 +0 53 +0x1921FB54442D18p-52 53 +inf 53 +inf N N 0 0 53 +0 53 nan 53 +inf 53 nan N N 0 + 53 0 53 -0x1921FB54442D18p-52 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 -0 N N 0 0 53 nan 53 nan 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 - 53 0 53 +0x1921FB54442D18p-52 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N 0 0 53 +inf 53 +0 53 1 53 +0 N N # pure real argument - + 53 -0x1E27076E2AF2E6p-57 53 -0x1921FB54442D18p-52 53 -17 53 -0 N N - - 53 -0x1E27076E2AF2E6p-57 53 +0x1921FB54442D18p-52 53 -17 53 +0 N N + + 53 +0x1E27076E2AF2E6p-57 53 -0x1921FB54442D18p-52 53 +17 53 -0 N N + - 53 +0x1E27076E2AF2E6p-57 53 +0x1921FB54442D18p-52 53 +17 53 +0 N N + 0 53 -0x1F2272AE325A57p-53 53 -0 53 -.75 53 -0 N N + 0 53 -0x1F2272AE325A57p-53 53 +0 53 -.75 53 +0 N N - 0 53 +0x1F2272AE325A57p-53 53 -0 53 +.75 53 -0 N N - 0 53 +0x1F2272AE325A57p-53 53 +0 53 +.75 53 +0 N N - + 12 0x6F1p-50 12 0xC91p-11 12 0x9380000000 12 +0 N N # pure imaginary argument 0 - 53 -0 53 -0x167D8863BC99BDp-52 53 -0 53 -6 N N 0 - 53 +0 53 -0x167D8863BC99BDp-52 53 +0 53 -6 N N 0 + 53 -0 53 +0x167D8863BC99BDp-52 53 -0 53 +6 N N 0 + 53 +0 53 +0x167D8863BC99BDp-52 53 +0 53 +6 N N 0 + 53 -0 53 -0x1F5B75F92C80DDp-55 53 -0 53 -.25 N N 0 + 53 +0 53 -0x1F5B75F92C80DDp-55 53 +0 53 -.25 N N 0 - 53 -0 53 +0x1F5B75F92C80DDp-55 53 -0 53 +.25 N N 0 - 53 +0 53 +0x1F5B75F92C80DDp-55 53 +0 53 +.25 N N # IEEE-754 double precision - + 53 0x13F3F785301CE9p-54 53 0xBFA43C2A868B3p-51 53 0x3243F6A8885A3p-48 53 0x162E42FEFA39EFp-53 N N mpc-1.3.1/tests/tpow.c0000644000175100017460000000627413717736770011554 00000000000000/* tpow -- test file for mpc_pow. Copyright (C) 2009, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void reuse_bug (void) { /* bug found by the automatic builds on http://hydra.nixos.org/build/1469029/log/raw */ mpc_t x, y, z; mp_prec_t prec = 2; for (prec = 2; prec <= 20; prec ++) { mpc_init2 (x, prec); mpc_init2 (y, prec); mpc_init2 (z, prec); mpfr_set_ui (mpc_realref (x), 0ul, MPFR_RNDN); mpfr_set_ui_2exp (mpc_imagref (x), 3ul, -2, MPFR_RNDN); mpc_set_ui (y, 8ul, MPC_RNDNN); mpc_pow (z, x, y, MPC_RNDNN); mpc_pow (y, x, y, MPC_RNDNN); if (mpfr_signbit (mpc_imagref (y)) != mpfr_signbit (mpc_imagref (z))) { printf ("Error: regression, reuse_bug reproduced\n"); exit (1); } mpc_clear (x); mpc_clear (y); mpc_clear (z); } } /* at precision 53, mpc_pow gave (inf,-inf), and at precision 73, it gave (inf,inf) */ static void bug20200208 (void) { mpc_t x, y, z, zr; mpfr_prec_t prec1 = 53, prec2 = 73; mpc_init2 (x, prec1); mpc_init2 (y, prec1); mpc_init2 (z, prec1); mpc_init2 (zr, prec2); mpfr_set_d (mpc_realref (x), 2.0851332234623992e-197, MPFR_RNDN); mpfr_set_d (mpc_imagref (x), -5.6221457829327427e-17, MPFR_RNDN); mpfr_set_d (mpc_realref (y), -2.1866902464899554e+138, MPFR_RNDN); mpfr_set_d (mpc_imagref (y), 2.5932544562430328e-234, MPFR_RNDN); mpc_pow (z, x, y, MPC_RNDNN); mpc_pow (zr, x, y, MPC_RNDNN); if (mpc_cmp (z, zr)) { printf ("Inconsistent power with different precisions:\n"); mpfr_printf ("prec %lu: (%Re,%Re)\n", prec1, mpc_realref (z), mpc_imagref (z)); mpfr_printf ("prec %lu: (%Re,%Re)\n", prec2, mpc_realref (zr), mpc_imagref (zr)); exit (1); } mpc_clear (x); mpc_clear (y); mpc_clear (z); mpc_clear (zr); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_pow (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_pow (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_pow (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); bug20200208 (); reuse_bug (); data_check_template ("pow.dsc", "pow.dat"); tgeneric_template ("pow.dsc", 2, 1024, 7, 10); test_end (); return 0; } mpc-1.3.1/tests/tmul_2ui.c0000644000175100017460000000226413227377425012310 00000000000000/* tmul_2ui -- test file for mpc_mul_2ui. Copyright (C) 2008, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul_2ui (P[1].mpc, P[2].mpc, P[3].ui, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul_2ui (P[1].mpc, P[1].mpc, P[3].ui, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("mul_2ui.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/tradius.c0000644000175100017460000000252614345571363012223 00000000000000/* tradius -- test file for arithmetic of complex ball radii. Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static int test_sqrt (void) { int64_t n, N, s; n = ((int64_t) 1) << 30; /* The following commented line checks all possible inputs n to sqrt_int64 in about 4 minutes on a laptop. */ /* for (n = ((int64_t) 1) << 30; n < ((int64_t) 4) << 30; n++) */ for (n = ((int64_t) 1) << 30; n < ((int64_t) 65) << 24; n++) { N = n << 30; s = sqrt_int64 (n); if (s * s < N || (s-1) * (s-1) >= N) { printf ("n %" PRIi64 ", N %" PRIi64 ", s %" PRIi64 "\n", n, N, s); return 1; } } return 0; } int main (void) { return test_sqrt (); } mpc-1.3.1/tests/asinh.dat0000644000175100017460000001465214345571363012203 00000000000000# Data file for mpc_asinh. # # Copyright (C) 2009 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # where op = op_re + i * op_im, rop = rop_re + i * rop_im, # rop_re is ROP_RE rounded to nearest to the precision of PREC_ROP_RE # rop_im is ROP_IM rounded to nearest to the precision of PREC_ROP_IM # op_re is OP_RE rounded to nearest to the precision of PREC_OP_RE # op_im is OP_IM rounded to nearest to the precision of PREC_OP_IM # ROP_RE is checked against Re(asin op) rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against Im(asin op) rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # special values (following ISO C99 standard) 0 + 53 -inf 53 -0x1921FB54442D18p-53 53 -inf 53 -inf N N 0 0 53 -inf 53 -0 53 -inf 53 -1 N N 0 0 53 -inf 53 -0 53 -inf 53 -0 N N 0 0 53 -inf 53 +0 53 -inf 53 +0 N N 0 0 53 -inf 53 +0 53 -inf 53 +1 N N 0 - 53 -inf 53 0x1921FB54442D18p-53 53 -inf 53 +inf N N 0 0 53 -inf 53 nan 53 -inf 53 nan N N 0 + 53 -inf 53 -0x1921FB54442D18p-52 53 -6 53 -inf N N 0 - 53 -inf 53 0x1921FB54442D18p-52 53 -6 53 +inf N N 0 0 53 nan 53 nan 53 -6 53 nan N N 0 + 53 -inf 53 -0x1921FB54442D18p-52 53 -0 53 -inf N N 0 0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 -0 53 +0 53 -0 53 +0 N N 0 - 53 -inf 53 0x1921FB54442D18p-52 53 -0 53 +inf N N 0 0 53 nan 53 nan 53 -0 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 +0 53 -inf N N 0 0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 +0 53 +0 53 +0 53 +0 N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 +0 53 +inf N N 0 0 53 nan 53 nan 53 +0 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-52 53 +6 53 -inf N N 0 - 53 +inf 53 0x1921FB54442D18p-52 53 +6 53 +inf N N 0 0 53 nan 53 nan 53 +6 53 nan N N 0 + 53 +inf 53 -0x1921FB54442D18p-53 53 +inf 53 -inf N N 0 0 53 +inf 53 -0 53 +inf 53 -1 N N 0 0 53 +inf 53 -0 53 +inf 53 -0 N N 0 0 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 +0 53 +inf 53 +1 N N 0 - 53 +inf 53 0x1921FB54442D18p-53 53 +inf 53 +inf N N 0 0 53 +inf 53 nan 53 +inf 53 nan N N 0 0 53 inf 53 nan 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 -0 53 nan 53 -0 N N 0 0 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 inf 53 nan 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # pure real argument + 0 53 -0x131DC0090B63D8p-52 53 -0 53 -1.5 53 -0 N N + 0 53 -0x131DC0090B63D8p-52 53 +0 53 -1.5 53 +0 N N - 0 53 -0x1C34366179D427p-53 53 -0 53 -1 53 -0 N N - 0 53 -0x1C34366179D427p-53 53 +0 53 -1 53 +0 N N - 0 53 -0x1ECC2CAEC5160Ap-54 53 -0 53 -0.5 53 -0 N N - 0 53 -0x1ECC2CAEC5160Ap-54 53 +0 53 -0.5 53 +0 N N + 0 53 0x1ECC2CAEC5160Ap-54 53 -0 53 +0.5 53 -0 N N + 0 53 0x1ECC2CAEC5160Ap-54 53 +0 53 +0.5 53 +0 N N + 0 53 0x1C34366179D427p-53 53 -0 53 +1 53 -0 N N + 0 53 0x1C34366179D427p-53 53 +0 53 +1 53 +0 N N - 0 53 0x131DC0090B63D8p-52 53 -0 53 +1.5 53 -0 N N - 0 53 0x131DC0090B63D8p-52 53 +0 53 +1.5 53 +0 N N # pure imaginary argument - + 53 -0x1ECC2CAEC5160Ap-53 53 -0x1921FB54442D18p-52 53 -0 53 -1.5 N N + + 53 0x1ECC2CAEC5160Ap-53 53 -0x1921FB54442D18p-52 53 +0 53 -1.5 N N 0 + 53 -0 53 -0x1921FB54442D18p-52 53 -0 53 -1 N N 0 + 53 +0 53 -0x1921FB54442D18p-52 53 +0 53 -1 N N 0 - 53 -0 53 -0x10C152382D7366p-53 53 -0 53 -0.5 N N 0 - 53 +0 53 -0x10C152382D7366p-53 53 +0 53 -0.5 N N 0 + 53 -0 53 0x10C152382D7366p-53 53 -0 53 +0.5 N N 0 + 53 +0 53 0x10C152382D7366p-53 53 +0 53 +0.5 N N 0 - 53 -0 53 0x1921FB54442D18p-52 53 -0 53 +1 N N 0 - 53 +0 53 0x1921FB54442D18p-52 53 +0 53 +1 N N - - 53 -0x1ECC2CAEC5160Ap-53 53 0x1921FB54442D18p-52 53 -0 53 +1.5 N N + - 53 0x1ECC2CAEC5160Ap-53 53 0x1921FB54442D18p-52 53 +0 53 +1.5 N N # regular arguments + + 53 0x1E20C7792ECE6Bp-52 53 0x3526776219EEBp-52 53 0x3243F6A8885A3p-48 53 0x162E42FEFA39EFp-53 N N # this test failed before the 1.3.0 release ? ? 9 0x1.0dp-5 9 0x1.59p+0 9 0x1.d4p-8 9 0x1.f4p-1 N Z mpc-1.3.1/tests/tfma.c0000644000175100017460000000717613227377425011506 00000000000000/* tfma -- test file for mpc_fma. Copyright (C) 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void cmpfma (mpc_srcptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) /* computes a*b+c with the naive and fast functions using the rounding mode rnd and compares the results and return values. In our current test suite, all input precisions are the same, and we use this precision also for the result. */ { mpc_t z, t; int inex_z, inex_t; mpc_init2 (z, MPC_MAX_PREC (a)); mpc_init2 (t, MPC_MAX_PREC (a)); inex_z = mpc_fma_naive (z, a, b, c, rnd); inex_t = mpc_fma (t, a, b, c, rnd); if (mpc_cmp (z, t) != 0 || inex_z != inex_t) { fprintf (stderr, "fma_naive and fma differ for rnd=(%s,%s)\n", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); MPC_OUT (a); MPC_OUT (b); MPC_OUT (c); MPC_OUT (z); MPC_OUT (t); if (inex_z != inex_t) { fprintf (stderr, "inex_re (z): %s\n", MPC_INEX_STR (inex_z)); fprintf (stderr, "inex_re (t): %s\n", MPC_INEX_STR (inex_t)); } exit (1); } mpc_clear (z); mpc_clear (t); } static void check_random (void) { mpfr_prec_t prec; int rnd_re, rnd_im; mpc_t a, b, c; mpc_init2 (a, 1000); mpc_init2 (b, 1000); mpc_init2 (c, 1000); for (prec = 2; prec < 1000; prec = (mpfr_prec_t) (prec * 1.1 + 1)) { mpc_set_prec (a, prec); mpc_set_prec (b, prec); mpc_set_prec (c, prec); test_default_random (a, -1024, 1024, 128, 0); test_default_random (b, -1024, 1024, 128, 0); test_default_random (c, -1024, 1024, 128, 0); for (rnd_re = 0; rnd_re < 4; rnd_re ++) for (rnd_im = 0; rnd_im < 4; rnd_im ++) cmpfma (a, b, c, MPC_RND (rnd_re, rnd_im)); } mpc_clear (a); mpc_clear (b); mpc_clear (c); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = \ mpc_fma (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc, P[5].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = \ mpc_fma (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc, P[5].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = \ mpc_fma (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc, P[5].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP3 \ P[0].mpc_inex = \ mpc_fma (P[1].mpc, P[2].mpc, P[3].mpc, P[1].mpc, P[5].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); check_random (); /* Remove it? */ data_check_template ("fma.dsc", "fma.dat"); tgeneric_template ("fma.dsc", 2, 1024, 1, 256); test_end (); return 0; } mpc-1.3.1/tests/tan.dat0000644000175100017460000001757013227377425011666 00000000000000# Data test file for mpc_tan. # # Copyright (C) 2008, 2010, 2011 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # See file sin.dat for the format description. # Special values, following ISO C99 standard, Annex G, # more precisely Section G.6.2.6 "The ctanh functions" # since G.6 defines ctan(z) as -i * ctanh(i*z) # Rule [conj]: tan(conj(z)) = conj(tan(z)) # Rule [odd]: tan(-z) = -tan(z) # Note: for each rule, we cite the rule for tanh from C99, # and below the translated rule for tan, using tanh(z) = i tan(-iz), # thus tanh(a+i*b) = c+i*d translates to tan(b-i*a) = d-i*c # tanh(+0 + i*0) = +0 + i*0 # tan (+0 - i*0) = +0 - i*0 0 0 2 +0 2 -0 2 +0 2 -0 N N # [conj]: tan(+0 + i*0) = +0 + i*0 0 0 2 +0 2 +0 2 +0 2 +0 N N # [odd]: tan(-0 + i*0) = -0 + i*0 0 0 2 -0 2 +0 2 -0 2 +0 N N # [odd+conj]: tan(-0 - i*0) = -0 - i*0 0 0 2 -0 2 -0 2 -0 2 -0 N N # tanh(x + i*inf) = nan + i*nan for finite x # tan (inf - i*x) = nan + i*nan for finite x 0 0 2 nan 2 nan 2 +inf 2 +1 N N 0 0 2 nan 2 nan 2 +inf 2 +0 N N 0 0 2 nan 2 nan 2 +inf 2 -0 N N 0 0 2 nan 2 nan 2 +inf 2 -1 N N # [conj] does not make sense since we already considered x < 0 # [odd]: tan(-inf + i*x) = nan + i*nan for finite x 0 0 2 nan 2 nan 2 -inf 2 +1 N N 0 0 2 nan 2 nan 2 -inf 2 +0 N N 0 0 2 nan 2 nan 2 -inf 2 -0 N N 0 0 2 nan 2 nan 2 -inf 2 -1 N N # tanh(x + i*nan) = nan + i*nan for finite x # tan (nan + i*x) = nan + i*nan for finite x 0 0 2 nan 2 nan 2 nan 2 1 N N 0 0 2 nan 2 nan 2 nan 2 +0 N N 0 0 2 nan 2 nan 2 nan 2 -0 N N 0 0 2 nan 2 nan 2 nan 2 -1 N N # [conj] makes no sense since we already considered x < 0 # idem for [odd] since nan has no sign # tanh(+inf + i*y) = 1 + i*0*sin(2y) for positive-signed finite y # tan (y - i*inf) = 0*sin(2*y) - i*1 for positive-signed finite y 0 0 2 +0 2 -1 2 1 2 -inf N N 0 0 2 -0 2 -1 2 2 2 -inf N N # [conj]: tan (y + i*inf) = 0*sin(2*y) + i*1 0 0 2 +0 2 +1 2 1 2 +inf N N 0 0 2 -0 2 +1 2 2 2 +inf N N # [odd]: tan (-y + i*inf) = -0*sin(2*y) + i*1 0 0 2 -0 2 +1 2 -1 2 +inf N N 0 0 2 +0 2 +1 2 -2 2 +inf N N # [odd+conj]: tan (-y - i*inf) = -0*sin(2*y) - i*1 0 0 2 -0 2 -1 2 -1 2 -inf N N 0 0 2 +0 2 -1 2 -2 2 -inf N N # tanh(+inf + i*inf) = 1 +/- i*0 (unspecified sign of zero for C99) # tan (+inf - i*inf) = +/-0 - i*1 0 0 2 0 2 -1 2 +inf 2 -inf N N # [conj]: tan (+inf + i*inf) = +/-0 + i*1 0 0 2 0 2 +1 2 +inf 2 +inf N N # [odd]: tan (-inf + i*inf) = +/-0 + i*1 0 0 2 0 2 +1 2 -inf 2 +inf N N # [odd+conj]: tan (-inf - i*inf) = +/-0 - i*1 0 0 2 0 2 -1 2 -inf 2 -inf N N # tanh(+inf + i*nan) = 1 +/- i*0 (unspecified sign of zero for C99) # tan (nan - i*inf) = +/-0 - i*1 0 0 2 0 2 -1 2 nan 2 -inf N N # [conj]: tan (nan + i*inf) = +/-0 + i*1 0 0 2 0 2 +1 2 nan 2 +inf N N # [odd] = [conj] since nan has no sign, and -(+/-0) = +/-0 # tanh(nan + i*0) = nan + i*0 # tan(+0 + i*nan) = +0 + i*nan 0 0 2 +0 2 nan 2 +0 2 nan N N # [conj] gives the same identity since nan has no sign # [odd]: tan(-0 + i*nan) = -0 + i*nan 0 0 2 -0 2 nan 2 -0 2 nan N N # tanh(nan + i*y) = nan + i*nan for all nonzero y # tan (y + i*nan) = nan + i*nan 0 0 2 nan 2 nan 2 +inf 2 nan N N 0 0 2 nan 2 nan 2 +1 2 nan N N 0 0 2 nan 2 nan 2 -1 2 nan N N 0 0 2 nan 2 nan 2 -inf 2 nan N N # [conj] gives no new relation since nan has no sign # [odd] gives no new relation since we already considered y < 0 # tanh(nan + i*nan) = nan + i*nan 0 0 2 nan 2 nan 2 nan 2 nan N N # corner case: op = atan (2^(-k) + i*2^k) for k=200 and k=1000 + + 100 0x1@-50 100 0x1@50 1000 0x1.921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c76273644a29410f31c6809bbdf2a33679a748636605614dbe4be286e9fc26adadaa3848bc90b6aecc4bcfd8de89884d34c6fdad617feb96de80d6fdbdc70d7f6b5133f4b5d3e4822f8963fcc9250cca3d9c8b67b8400f97142c77e0b31b4906c38 1000 0x1.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555548888888888888888888888888888888888888888888888888a@-50 N N + + 100 0x1@-250 100 0x1@250 4000 0x1.921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c76273644a29410f31c6809bbdf2a33679a748636605614dbe4be286e9fc26adadaa3848bc90b6aecc4bcfd8de89885d34c6fdad617feb96de80d6fdbdc70d7f6b5133f4b5d3e4822f8963fcc9250cca3d9c8b67b8400f97142c77e0b31b4906c38aba734d22c7f51fa499ebf06caba47b9475b2c38c5e6ac410aa5773daa520ee12d2cdace186a9c95793009e2e8d811943042f86520bc8c5c6d9c77c73cee58301d0c07364f0745d80f451f6b8abbe0de98a593bc5797ed2ab02e30732a92f9d52ad5ca2ba44c3131f40a202ae51cb51555885b5a662e1a08a0f46750aa4357be3974c9d9f70a08b1b7de1515d4e2aeba0c18fb672e1f0b4dc3c98f57eb5d19b61267ae3d1929c0944ac33b9dc7a44c35a5dcd7e25ff40db31410c9b0ec04e67d90d4c8a43e56302ef6401977c22eaef4c2bad8ee13118175b28dc411c49f40e9cb566287b6b7f9c1fa211c9705a2415242100234e478254f0fccaf10e334217b74b64d33864e30d5e9c4783528d0696c2a17b44b07d39455a899d1b77785b609bd1df25d1df8283f7d954c50f8b28e9cd780bb33652c9f412187444677430ca2b7cfda3ec252e19dc5af5f7037baec42e09039a00d224fab60b5532769d5311b1fbb830dff6fb9214d811e9be86b92680509246d87f56a 4000 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555556@-250 N N # yet another absurd case: op = atan (2^200) + 2^(-200000)*I; # expensive to compute #- - 50 0x1@50 50 0x1@-49900 1000 0x1.921fb54442d18469898cc51701b839a252049c1114cf98e803177d4c76273644a29410f31c6809bbdf2a33679a748636605614dbe4be286e9fc26adadaa3848bc90b6aecc4bcfd8de8988628a1c5302b6d540ec33d62c53131c62d4c0a6894a0b2939d784deb9521e7a621f92f1e0bd0d9564ec6981cd3608709e5c18e 1000 0x1@-50000 N N # corner case - + 9 -0x9bp-51 9 -1 9 -0x16dp-8 9 -0x77p-3 N N # huge values + - 53 -0 53 -1 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N - - 53 +0 53 -1 53 -0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N + + 53 -0 53 +1 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N # some values taken from ttan.c + + 53 0x1D02967C31CDB5 53 0x1D02967C31CDB5 53 0x3243F6A8885A30p-53 53 0x11A62633145C07p-106 N N - + 53 0x1D02967C31CDB4 53 0x1D02967C31CDB5 53 0x3243F6A8885A30p-53 53 0x11A62633145C07p-106 D U - - 53 0x1D02967C31CDB4 53 0x1D02967C31CDB4 53 0x3243F6A8885A30p-53 53 0x11A62633145C07p-106 Z D - + 53 -0xB0BD0AA4A3B3D 53 -0xB0BD0AA4A3B3D 53 0x1921FB54442D19p-52 53 -0x172CECE675D1FDp-105 N N # bug reported by Joseph Myers (07 Apr 2015) - - 2 0 2 0.75 2 0x1p-10 2 0x1p1000 Z Z mpc-1.3.1/tests/tlog10.c0000644000175100017460000000233513227377425011655 00000000000000/* tlog10 -- test file for mpc_log10. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_log10 (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_log10 (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("log10.dsc", "log10.dat"); tgeneric_template ("log10.dsc", 2, 512, 7, 128); test_end (); return 0; } mpc-1.3.1/tests/sub.dat0000644000175100017460000001061212426164730011654 00000000000000# Data file for mpc_sub. # # Copyright (C) 2008 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP1_RE OP1_RE PREC_OP1_IM OP1_IM PREC_OP2_RE OP2_RE PREC_OP2_IM OP2_IM RND_RE RND_IM # # see add.dat for details. # special values (following ISO C99 standard) 0 0 53 nan 53 nan 53 -inf 53 -inf 53 -inf 53 -inf N Z 0 0 53 -inf 53 +inf 53 -inf 53 +inf 53 +1 53 -inf Z U 0 0 53 nan 53 -inf 53 +inf 53 -inf 53 +inf 53 +0 U D 0 0 53 +inf 53 +inf 53 +inf 53 +inf 53 -0 53 -1 D N 0 0 53 -inf 53 -inf 53 -inf 53 -inf 53 -0 53 -1 N U 0 0 53 -inf 53 nan 53 -inf 53 +inf 53 +inf 53 nan Z D 0 0 53 nan 53 -inf 53 +inf 53 -inf 53 nan 53 -1 U N 0 0 53 +inf 53 nan 53 +inf 53 +inf 53 -0 53 nan D Z 0 0 53 nan 53 nan 53 -inf 53 -inf 53 nan 53 nan N D 0 0 53 -inf 53 -inf 53 -1 53 -inf 53 +inf 53 -1 N D 0 0 53 -inf 53 +1 53 -inf 53 +1 53 +inf 53 -0 Z N 0 0 53 +1 53 -inf 53 +1 53 -inf 53 -0 53 +1 U Z 0 0 53 +inf 53 +1 53 +inf 53 +1 53 -0 53 -0 D U 0 0 53 -inf 53 nan 53 -1 53 -inf 53 +inf 53 nan N N 0 0 53 nan 53 +0 53 -inf 53 +1 53 nan 53 +1 Z Z 0 0 53 +1 53 nan 53 +1 53 -inf 53 -0 53 nan U U 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 nan D D 0 0 53 -0 53 -inf 53 -0 53 -inf 53 +0 53 +inf D D 0 0 53 -inf 53 +0 53 -inf 53 +0 53 +1 53 -0 N Z 0 0 53 +0 53 -inf 53 +0 53 -inf 53 -0 53 -0 Z U 0 0 53 +inf 53 nan 53 +inf 53 +0 53 -inf 53 nan U D 0 0 53 nan 53 -inf 53 -0 53 -inf 53 nan 53 -1 D N 0 0 53 -inf 53 nan 53 -inf 53 +0 53 +0 53 nan N U 0 0 53 nan 53 nan 53 +0 53 -inf 53 nan 53 nan Z D 0 0 53 +0 53 +2 53 +0 53 +1 53 -0 53 -1 Z D 0 0 53 -1 53 +0 53 -1 53 -0 53 +0 53 -0 U N 0 0 53 nan 53 -inf 53 -0 53 +1 53 nan 53 +inf D Z 0 0 53 +2 53 nan 53 +1 53 -0 53 -1 53 nan N D 0 0 53 nan 53 +1 53 +0 53 +1 53 nan 53 -0 Z N 0 0 53 nan 53 nan 53 -1 53 -0 53 nan 53 nan U Z 0 0 53 -0 53 +0 53 -0 53 +0 53 +0 53 -0 U Z 0 0 53 nan 53 +inf 53 +0 53 -0 53 nan 53 -inf D U 0 0 53 +1 53 nan 53 +0 53 +0 53 -1 53 nan N N 0 0 53 nan 53 +0 53 -0 53 -0 53 nan 53 -0 Z Z 0 0 53 nan 53 nan 53 -0 53 +0 53 nan 53 nan U U 0 0 53 nan 53 -inf 53 nan 53 -inf 53 nan 53 +inf U U 0 0 53 +inf 53 nan 53 +inf 53 nan 53 -1 53 nan D D 0 0 53 nan 53 -inf 53 nan 53 -inf 53 nan 53 -0 N Z 0 0 53 nan 53 nan 53 -inf 53 nan 53 nan 53 nan Z U 0 0 53 nan 53 nan 53 +1 53 nan 53 nan 53 -1 Z U 0 0 53 nan 53 nan 53 nan 53 +1 53 -0 53 nan U D 0 0 53 nan 53 nan 53 -1 53 nan 53 nan 53 nan D N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 nan D N 0 0 53 nan 53 nan 53 +0 53 nan 53 nan 53 nan N U 0 0 53 nan 53 nan 53 nan 53 nan 53 nan 53 nan N U # pure real argument + 0 53 0x10000000000000p-52 53 +0 53 +1 53 -0 53 0x1p-105 53 -0 N N - 0 53 0x1fffffffffffffp-53 53 +0 53 +1 53 -0 53 0x1p-105 53 -0 Z Z + 0 53 0x10000000000000p-52 53 +0 53 +1 53 -0 53 0x1p-105 53 -0 U U - 0 53 0x1fffffffffffffp-53 53 -0 53 +1 53 -0 53 0x1p-105 53 -0 D D # pure imaginary argument 0 - 53 +0 53 -0x10000000000000p-52 53 -0 53 0x10000000000000p-106 53 -0 53 +1 N N 0 + 53 +0 53 -0x1fffffffffffffp-53 53 -0 53 0x10000000000001p-106 53 -0 53 +1 N N 0 + 53 +0 53 -0x1fffffffffffffp-53 53 +0 53 0x10000000000001p-106 53 -0 53 +1 Z Z 0 + 53 +0 53 -0x1fffffffffffffp-53 53 +0 53 0x10000000000001p-106 53 -0 53 +1 U U 0 - 53 -0 53 -0x10000000000000p-52 53 -0 53 0x10000000000001p-106 53 -0 53 +1 D D mpc-1.3.1/tests/tcosh.c0000644000175100017460000001021113227377425011657 00000000000000/* tcosh -- test file for mpc_cosh. Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void pure_real_argument (void) { /* cosh(x -i*0) = cosh(x) +i*0 if x<0 */ /* cosh(x -i*0) = cosh(x) -i*0 if x>0 */ /* cosh(x +i*0) = cosh(x) -i*0 if x<0 */ /* cosh(x -i*0) = cosh(x) +i*0 if x>0 */ mpc_t u; mpc_t z; mpc_t cosh_z; mpc_init2 (z, 2); mpc_init2 (u, 100); mpc_init2 (cosh_z, 100); /* cosh(1 +i*0) = cosh(1) +i*0 */ mpc_set_ui_ui (z, 1, 0, MPC_RNDNN); mpfr_cosh (mpc_realref (u), mpc_realref (z), MPFR_RNDN); mpfr_set_ui (mpc_imagref (u), 0, MPFR_RNDN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); /* cosh(1 -i*0) = cosh(1) -i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_conj (u, u, MPC_RNDNN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || !mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); /* cosh(-1 +i*0) = cosh(1) -i*0 */ mpc_neg (z, z, MPC_RNDNN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || !mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); /* cosh(-1 -i*0) = cosh(1) +i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_conj (u, u, MPC_RNDNN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); mpc_clear (cosh_z); mpc_clear (z); mpc_clear (u); } static void pure_imaginary_argument (void) { /* cosh(+0 +i*y) = cos y +i*0*sin y */ /* cosh(-0 +i*y) = cos y -i*0*sin y */ mpc_t u; mpc_t z; mpc_t cosh_z; mpc_init2 (z, 2); mpc_init2 (u, 100); mpc_init2 (cosh_z, 100); /* cosh(+0 +i) = cos(1) + i*0 */ mpc_set_ui_ui (z, 0, 1, MPC_RNDNN); mpfr_cos (mpc_realref (u), mpc_imagref (z), MPFR_RNDN); mpfr_set_ui (mpc_imagref (u), 0, MPFR_RNDN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); /* cosh(+0 -i) = cos(1) - i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_conj (u, u, MPC_RNDNN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || !mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); /* cosh(-0 +i) = cos(1) - i*0 */ mpc_neg (z, z, MPC_RNDNN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || !mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); /* cosh(-0 -i) = cos(1) + i*0 */ mpc_conj (z, z, MPC_RNDNN); mpc_conj (u, u, MPC_RNDNN); mpc_cosh (cosh_z, z, MPC_RNDNN); if (mpc_cmp (cosh_z, u) != 0 || mpfr_signbit (mpc_imagref (cosh_z))) TEST_FAILED ("mpc_cosh", z, cosh_z, u, MPC_RNDNN); mpc_clear (cosh_z); mpc_clear (z); mpc_clear (u); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_cosh (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_cosh (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("cosh.dsc", "cosh.dat"); tgeneric_template ("cosh.dsc", 2, 512, 7, 7); /* FIXME: remove the following tests? (Now tested by tgeneric) */ pure_real_argument (); pure_imaginary_argument (); test_end (); return 0; } mpc-1.3.1/tests/div_2si.dsc0000644000175100017460000000154513227377425012437 00000000000000# Description file for mpc_div_2si # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_div_2si RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/exp.dat0000644000175100017460000001600213227377425011665 00000000000000# Data file for mpc_exp. # # Copyright (C) 2008, 2010, 2016 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The line format respects the parameter order in function prototype as # follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM # # see sin.dat for precisions # special values (following ISO C99 standard) 0 0 53 0 53 0 53 -inf 53 -inf N N 0 0 53 +0 53 +0 53 -inf 53 -6 N N 0 0 53 -0 53 +0 53 -inf 53 -4 N N 0 0 53 -0 53 -0 53 -inf 53 -2 N N 0 0 53 +0 53 -0 53 -inf 53 -1 N N 0 0 53 +0 53 -0 53 -inf 53 -0 N N 0 0 53 +0 53 +0 53 -inf 53 +0 N N 0 0 53 +0 53 +0 53 -inf 53 +1 N N 0 0 53 -0 53 +0 53 -inf 53 +2 N N 0 0 53 -0 53 -0 53 -inf 53 +4 N N 0 0 53 +0 53 -0 53 -inf 53 +6 N N 0 0 53 0 53 0 53 -inf 53 +inf N N 0 0 53 0 53 0 53 -inf 53 nan N N 0 0 53 nan 53 nan 53 -1 53 -inf N N 0 0 53 nan 53 nan 53 -1 53 +inf N N 0 0 53 nan 53 nan 53 -1 53 nan N N 0 0 53 nan 53 nan 53 -0 53 -inf N N 0 0 53 +1 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +0 N N 0 0 53 nan 53 nan 53 -0 53 +inf N N 0 0 53 nan 53 nan 53 -0 53 nan N N 0 0 53 nan 53 nan 53 +0 53 -inf N N 0 0 53 +1 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 +0 N N 0 0 53 nan 53 nan 53 +0 53 +inf N N 0 0 53 nan 53 nan 53 +0 53 nan N N 0 0 53 nan 53 nan 53 +1 53 -inf N N 0 0 53 nan 53 nan 53 +1 53 +inf N N 0 0 53 nan 53 nan 53 +1 53 nan N N 0 0 53 inf 53 nan 53 +inf 53 -inf N N 0 0 53 +inf 53 +inf 53 +inf 53 -6 N N 0 0 53 -inf 53 +inf 53 +inf 53 -4 N N 0 0 53 -inf 53 -inf 53 +inf 53 -2 N N 0 0 53 +inf 53 -inf 53 +inf 53 -1 N N 0 0 53 +inf 53 -0 53 +inf 53 -0 N N 0 0 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 +inf 53 +inf 53 +1 N N 0 0 53 -inf 53 +inf 53 +inf 53 +2 N N 0 0 53 -inf 53 -inf 53 +inf 53 +4 N N 0 0 53 +inf 53 -inf 53 +inf 53 +6 N N 0 0 53 inf 53 nan 53 +inf 53 +inf N N 0 0 53 inf 53 nan 53 +inf 53 nan N N 0 0 53 nan 53 nan 53 nan 53 -inf N N 0 0 53 nan 53 nan 53 nan 53 -1 N N 0 0 53 nan 53 -0 53 nan 53 -0 N N 0 0 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +inf N N 0 0 53 nan 53 nan 53 nan 53 nan N N # purely real argument - 0 53 0x1936dc5690c08fp-44 2 +0 53 6 17 +0 N N - 0 53 0x4b0556e084f3d0p-60 3 +0 54 -4 16 +0 Z N + 0 53 0xec7325c6a6ed70p-53 4 -0 55 2 15 -0 U N - 0 53 0x178b56362cef37p-54 5 -0 56 -1 14 -0 D N - 0 53 0x3699205c4e74b0p-48 6 +0 57 4 13 +0 Z Z + 0 53 0x454aaa8efe0730p-57 7 +0 58 -2 12 +0 U Z - 0 53 0x15bf0a8b145769p-51 8 -0 59 1 11 -0 D Z + 0 53 0xa2728f889ea6b0p-64 9 -0 60 -6 10 -0 N Z + 0 53 0xec7325c6a6ed70p-53 10 +0 61 2 9 +0 U U - 0 53 0x178b56362cef37p-54 11 +0 62 -1 8 +0 D U - 0 53 0x1936dc5690c08fp-44 12 -0 63 6 7 -0 N U - 0 53 0x4b0556e084f3d0p-60 13 -0 64 -4 6 -0 Z U - 0 53 0x15bf0a8b145769p-51 14 +0 65 1 5 +0 D D + 0 53 0xa2728f889ea6b0p-64 15 +0 66 -6 4 +0 N D - 0 53 0x3699205c4e74b0p-48 16 -0 67 4 3 -0 Z D + 0 53 0x454aaa8efe0730p-57 17 -0 68 -2 2 -0 U D # purely imaginary argument - + 53 0x1eb9b7097822f5p-53 53 -0x4787c62ac28b0p-52 53 +0 53 6 N N + + 53 -0x53aa981b6c9300p-55 53 -0xc1bdceeee0f57p-52 51 -0 54 4 Z N + - 53 -0x6a88995d4dc810p-56 53 -0xe8c7b7568da23p-52 49 +0 55 -2 U N - + 53 0x114a280fb5068bp-53 53 -0xd76aa47848677p-52 47 -0 56 -1 D N + + 53 -0x53aa981b6c9300p-55 53 -0xc1bdceeee0f57p-52 45 +0 57 4 Z Z + - 53 -0x6a88995d4dc810p-56 53 0x1d18f6ead1b445p-53 43 -0 58 2 U Z - + 53 0x114a280fb5068bp-53 53 -0xd76aa47848677p-52 41 +0 59 -1 D Z - - 53 0x1eb9b7097822f5p-53 53 0x4787c62ac28b0p-52 39 -0 60 -6 N Z + + 53 -0x6a88995d4dc810p-56 53 0xe8c7b7568da23p-52 37 +0 61 2 U U - + 53 0x114a280fb5068bp-53 53 0x1aed548f090cefp-53 35 -0 62 1 D U - + 53 0x1eb9b7097822f5p-53 53 0x11e1f18ab0a2c1p-54 33 +0 63 -6 N U + + 53 -0x53aa981b6c9300p-55 53 0x1837b9dddc1eafp-53 31 -0 64 -4 Z U - - 53 0x114a280fb5068bp-53 53 0xd76aa47848677p-52 29 +0 65 1 D D - - 53 0x1eb9b7097822f5p-53 53 -0x11e1f18ab0a2c1p-54 27 -0 66 6 N D + - 53 -0x53aa981b6c9300p-55 53 0xc1bdceeee0f57p-52 25 +0 67 -4 Z D + - 53 -0x6a88995d4dc810p-56 53 -0xe8c7b7568da23p-52 23 -0 68 -2 U D # overflow - - 2 -inf 2 -inf 53 0x3312ae437f94441ec@-9 53 0xe45f7bab0595dd700@-10 N N # input close to 0 ? ? 53 1 53 0x5D7A2148071Fp-72135 53 0x1E02AE0D0F6Fp-72135 53 0x5D7A2148071Fp-72135 N N # bug reported by Joseph Myers (07 Apr 2015) - + 2 0x3p1073741819 2 -0x3p1073741819 2 0x1p200 2 0x1p800 Z Z mpc-1.3.1/tests/tpow_si.c0000644000175100017460000000614014345571363012230 00000000000000/* tpow_si -- test file for mpc_pow_si. Copyright (C) 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for CHAR_BIT */ #include "mpc-tests.h" static void compare_mpc_pow (mpfr_prec_t pmax, int iter, unsigned long nbits) /* copied from tpow_ui.c and replaced unsigned by signed */ { mpfr_prec_t p; mpc_t x, y, z, t; long n; int i, inex_pow, inex_pow_si; mpc_rnd_t rnd1, rnd2, rnd; mpc_init3 (y, sizeof (unsigned long) * CHAR_BIT, MPFR_PREC_MIN); for (p = MPFR_PREC_MIN; p <= pmax; p++) for (i = 0; i < iter; i++) { mpc_init2 (x, p); mpc_init2 (z, p); mpc_init2 (t, p); mpc_urandom (x, rands); n = (signed long) gmp_urandomb_ui (rands, nbits); mpc_set_si (y, n, MPC_RNDNN); for (rnd1 = 0; rnd1 < 4; rnd1 ++) for (rnd2 = 0; rnd2 < 4; rnd2 ++) { rnd = MPC_RND (rnd1, rnd2); inex_pow = mpc_pow (z, x, y, rnd); inex_pow_si = mpc_pow_si (t, x, n, rnd); if (mpc_cmp (z, t) != 0) { printf ("mpc_pow and mpc_pow_si differ for x="); mpc_out_str (stdout, 10, 0, x, MPC_RNDNN); printf (" n=%li p=%lu rnd=%d\n", n, p, rnd); printf ("mpc_pow gives "); mpc_out_str (stdout, 10, 0, z, MPC_RNDNN); printf ("\nmpc_pow_si gives "); mpc_out_str (stdout, 10, 0, t, MPC_RNDNN); printf ("\n"); exit (1); } if (inex_pow != inex_pow_si) { printf ("mpc_pow and mpc_pow_si give different flags for x="); mpc_out_str (stdout, 16, 0, x, MPC_RNDNN); printf (" n=%li p=%lu rnd=%d\n", n, p, rnd); printf ("mpc_pow gives %d\n", inex_pow); printf ("mpc_pow_si gives %d\n", inex_pow_si); exit (1); } } mpc_clear (x); mpc_clear (z); mpc_clear (t); } mpc_clear (y); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_pow_si (P[1].mpc, P[2].mpc, P[3].si, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_pow_si (P[1].mpc, P[1].mpc, P[3].si, P[4].mpc_rnd) #include "data_check.tpl" int main (void) { test_start (); data_check_template ("pow_si.dsc", "pow_si.dat"); compare_mpc_pow (100, 5, 19); test_end (); return 0; } mpc-1.3.1/tests/div_ui.dsc0000644000175100017460000000154313227377425012355 00000000000000# Description file for mpc_div_ui # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_div_ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/abs.dsc0000644000175100017460000000155113227377425011642 00000000000000# Description file for mpc_abs # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_abs RETURN: mpfr_inex OUTPUT: mpfr_ptr INPUT: mpc_srcptr mpfr_rnd_t mpc-1.3.1/tests/tsinh.c0000644000175100017460000000230413227377425011670 00000000000000/* tsinh -- test file for mpc_sinh. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sinh (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sinh (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("sinh.dsc", "sinh.dat"); tgeneric_template ("sinh.dsc", 2, 512, 7, 7); test_end (); return 0; } mpc-1.3.1/tests/random.c0000644000175100017460000001732514172257437012034 00000000000000/* random.c -- Handle seed for random numbers. // Copyright (C) 2008, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ /* Put test_start at the beginning of your test function and test_end at the end. These are an adaptation of those of MPFR. */ #include "config.h" #include #include "mpc-tests.h" #ifdef TIME_WITH_SYS_TIME # include # include #else # ifdef HAVE_SYS_TIME_H # include # else # include # endif #endif gmp_randstate_t rands; static char rands_initialized; void test_start (void) { char *environment_seed; unsigned long seed; if (rands_initialized) { fprintf (stderr, "Put test_start at the beginning of your test function.\n"); exit (1); } gmp_randinit_default (rands); rands_initialized = 1; environment_seed = getenv ("GMP_CHECK_RANDOMIZE"); if (environment_seed == NULL) gmp_randseed_ui (rands, 0xfac11e); else { seed = (unsigned long int) atoi (environment_seed); if (seed == 0 || seed == 1) { #if defined HAVE_GETTIMEOFDAY struct timeval tv; gettimeofday (&tv, NULL); seed = (unsigned long int) (tv.tv_sec + tv.tv_usec); #else time_t tv; time (&tv); seed = (unsigned long int) tv; #endif gmp_randseed_ui (rands, seed); printf ("Seed GMP_CHECK_RANDOMIZE=%lu " "(include this in bug reports)\n", seed); } else { printf ("Re-seeding with GMP_CHECK_RANDOMIZE=%lu\n", seed); gmp_randseed_ui (rands, seed); } } /* some tests assume a given exponent range for MPFR, thus since the default exponent range for MPFR is not specified, we hard-code it */ mpfr_set_emax (1073741821); mpfr_set_emin (-1073741821); } void test_end (void) { if (rands_initialized) { rands_initialized = 0; gmp_randclear (rands); } mpfr_free_cache (); } /* Set z to a non zero value random value with absolute values of Re(z) and Im(z) either zero (but not both in the same time) or otherwise greater than or equal to 2^{emin-1} and less than 2^emax. Each part is negative with probability equal to NEGATIVE_PROBABILITY / 256. The result has one zero part (but never the two of them) with probability equal to ZERO_PROBABILITY / 256. */ void test_default_random (mpc_ptr z, mpfr_exp_t emin, mpfr_exp_t emax, unsigned int negative_probability, unsigned int zero_probability) { const unsigned long range = (unsigned long int) (emax - emin) + 1; unsigned long r; if (!rands_initialized) { fprintf (stderr, "Put test_start at the beginning of your test function.\n"); exit (1); } do { mpc_urandom (z, rands); } while (mpfr_zero_p (mpc_realref (z)) || mpfr_zero_p (mpc_imagref (z))); if (zero_probability > 256) zero_probability = 256; r = gmp_urandomb_ui (rands, 19); if ((r & 0x1FF) < zero_probability || ((r >> 9) & 0x1FF) < zero_probability) { int zero_re_p = (r & 0x1FF) < zero_probability; int zero_im_p = ((r >> 9) & 0x1FF) < zero_probability; if (zero_re_p && zero_im_p) { /* we just want one zero part. */ zero_re_p = (r >> 18) & 1; zero_im_p = !zero_re_p; } if (zero_re_p) mpfr_set_ui (mpc_realref (z), 0, MPFR_RNDN); if (zero_im_p) mpfr_set_ui (mpc_imagref (z), 0, MPFR_RNDN); } if (!mpfr_zero_p (mpc_realref (z))) mpfr_set_exp (mpc_realref (z), (mpfr_exp_t) gmp_urandomm_ui (rands, range) + emin); if (!mpfr_zero_p (mpc_imagref (z))) mpfr_set_exp (mpc_imagref (z), (mpfr_exp_t) gmp_urandomm_ui (rands, range) + emin); if (negative_probability > 256) negative_probability = 256; r = gmp_urandomb_ui (rands, 16); if ((r & 0xFF) < negative_probability) mpfr_neg (mpc_realref (z), mpc_realref (z), MPFR_RNDN); if (((r>>8) & 0xFF) < negative_probability) mpfr_neg (mpc_imagref (z), mpc_imagref (z), MPFR_RNDN); } /* Set n to a non zero value random value with absolute values less than 2^emax. n is negative with probability equal to NEGATIVE_PROBABILITY / 256. */ void test_random_si (long int *n, unsigned long emax, unsigned int negative_probability) { unsigned long r; if (!rands_initialized) { fprintf (stderr, "Put test_start at the beginning of your test function.\n"); exit (1); } do { *n = gmp_urandomb_ui (rands, emax); } while (*n == 0); if (negative_probability > 256) negative_probability = 256; r = gmp_urandomb_ui (rands, 8); if ((r & 0xFF) < negative_probability) *n = -(*n); } /* Set x to a non zero value random value with absolute values greater than or equal to 2^{emin-1} and less than 2^emax. x is negative with probability equal to NEGATIVE_PROBABILITY / 256. */ void test_random_mpfr (mpfr_ptr x, mpfr_exp_t emin, mpfr_exp_t emax, unsigned int negative_probability) { const unsigned long range = (unsigned long int) (emax - emin) + 1; unsigned long r; if (!rands_initialized) { fprintf (stderr, "Put test_start at the beginning of your test function.\n"); exit (1); } do { mpfr_urandom (x, rands, MPFR_RNDN); } while (mpfr_zero_p (x)); mpfr_set_exp (x, (mpfr_exp_t) gmp_urandomm_ui (rands, range) + emin); if (negative_probability > 256) negative_probability = 256; r = gmp_urandomb_ui (rands, 8); if ((r & 0xFF) < negative_probability) mpfr_neg (x, x, MPFR_RNDN); } /* Set x to a non zero value random value. x is negative with probability equal to NEGATIVE_PROBABILITY / 256. */ void test_random_d (double *x, unsigned int negative_probability) { MPFR_DECL_INIT (mpfr_x, 53); test_random_mpfr (mpfr_x, -1022, 1022, negative_probability); *x = mpfr_get_d (mpfr_x, MPFR_RNDN); } /* Set z to a non zero value random value with absolute values of Re(z) and Im(z) greater than or equal to 2^{emin-1} and less than 2^emax. Each part is negative with probability equal to NEGATIVE_PROBABILITY / 256. */ void test_random_mpc (mpc_ptr z, mpfr_exp_t emin, mpfr_exp_t emax, unsigned int negative_probability) { const unsigned long range = (unsigned long int) (emax - emin) + 1; unsigned long r; if (!rands_initialized) { fprintf (stderr, "Put test_start at the beginning of your test function.\n"); exit (1); } do { mpc_urandom (z, rands); } while (mpfr_zero_p (mpc_realref (z)) || mpfr_zero_p (mpc_imagref (z))); mpfr_set_exp (mpc_realref (z), (mpfr_exp_t) gmp_urandomm_ui (rands, range) + emin); mpfr_set_exp (mpc_imagref (z), (mpfr_exp_t) gmp_urandomm_ui (rands, range) + emin); if (negative_probability > 256) negative_probability = 256; r = gmp_urandomb_ui (rands, 16); if ((r & 0xFF) < negative_probability) mpfr_neg (mpc_realref (z), mpc_realref (z), MPFR_RNDN); if (((r>>8) & 0xFF) < negative_probability) mpfr_neg (mpc_imagref (z), mpc_imagref (z), MPFR_RNDN); } mpc-1.3.1/tests/tdiv_2si.c0000644000175100017460000000225613227377425012274 00000000000000/* tdiv_2si -- test file for mpc_div_2si. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_div_2si (P[1].mpc, P[2].mpc, P[3].si, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_div_2si (P[1].mpc, P[1].mpc, P[3].si, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("div_2si.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/mul_i.dsc0000644000175100017460000000152313227377425012201 00000000000000# Description file for mpc_mul_i # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_mul_i RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr int mpc_rnd_t mpc-1.3.1/tests/asin.dsc0000644000175100017460000000150513227377425012026 00000000000000# Description file for mpc_asin # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_asin RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/cosh.dat0000644000175100017460000001103612426164730012020 00000000000000# Data test file for mpc_cosh. # # Copyright (C) 2008, 2010 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # See file sin.dat for the format description. # Special values, following ISO C99 standard, Annex G, # more precisely Section G.6.2.4 "The ccosh functions". # Rule [conj]: cosh(conj(z)) = conj(cosh(z)) # Rule [even]: cosh(-z) = cosh(z) # cosh(+0 + i*0) = 1 + i*0 0 0 2 1 2 +0 2 +0 2 +0 N N # [conj]: cosh(+0 - i*0) = 1 - i*0 0 0 2 1 2 -0 2 +0 2 -0 N N # [even]: cosh(-0 - i*0) = 1 + i*0 0 0 2 1 2 +0 2 -0 2 -0 N N # [even+conj]: cosh(-0 + i*0) = 1 - i*0 0 0 2 1 2 -0 2 -0 2 +0 N N # cosh(+0 + i*inf) = nan + i*0 (C99 says that the sign of the imaginary part # is left unspecified) 0 0 2 nan 2 0 2 +0 2 +inf N N # [conj]: cosh(+0 - i*inf) = nan - i*0 0 0 2 nan 2 0 2 +0 2 -inf N N # [even]: cosh(-0 - i*inf) = nan + i*0 0 0 2 nan 2 0 2 -0 2 -inf N N # [even+conj]: cosh(-0 + i*inf) = nan - i*0 0 0 2 nan 2 0 2 -0 2 +inf N N # cosh(+0 +i*nan) = nan + i*0 (C99 says that the sign of the imaginary part # is left unspecified) 0 0 2 nan 2 0 2 +0 2 nan N N # [even]: cosh(-0 + i*nan) = nan + i*0 0 0 2 nan 2 0 2 -0 2 nan N N # cosh(x + i*inf) = nan + i*nan for finite nonzero x 0 0 2 nan 2 nan 2 1 2 inf N N 0 0 2 nan 2 nan 2 -1 2 inf N N # [conj]: cosh(x - i*inf) = nan + i*nan 0 0 2 nan 2 nan 2 1 2 -inf N N 0 0 2 nan 2 nan 2 -1 2 -inf N N # [even] and [even+conj] are already considered for x=-1 < 0 # cosh(x + i*nan) = nan + i*nan for finite nonzero x 0 0 2 nan 2 nan 2 1 2 nan N N 0 0 2 nan 2 nan 2 -1 2 nan N N # [conj] makes no sense since nan has no sign # [even] is already considered for x=-1 < 0 # cosh(+inf + i*0) = +inf + i*0 0 0 2 +inf 2 +0 2 +inf 2 +0 N N # [conj]: cosh(+inf - i*0) = +inf - i*0 0 0 2 +inf 2 -0 2 +inf 2 -0 N N # [even]: cosh(-inf - i*0) = +inf + i*0 0 0 2 +inf 2 +0 2 -inf 2 -0 N N # [even+conj]: cosh(-inf + i*0) = +inf - i*0 0 0 2 +inf 2 -0 2 -inf 2 +0 N N # cosh(+inf + i*y) = +inf * (cos(y) + i*sin(y)) for finite non-zero y 0 0 2 +inf 2 +inf 2 +inf 2 1 N N 0 0 2 -inf 2 +inf 2 +inf 2 2 N N 0 0 2 -inf 2 -inf 2 +inf 2 4 N N 0 0 2 +inf 2 -inf 2 +inf 2 1024 N N # [conj] 0 0 2 +inf 2 -inf 2 +inf 2 -1 N N 0 0 2 -inf 2 -inf 2 +inf 2 -2 N N 0 0 2 -inf 2 +inf 2 +inf 2 -4 N N 0 0 2 +inf 2 +inf 2 +inf 2 -1024 N N # [even] 0 0 2 +inf 2 +inf 2 -inf 2 -1 N N 0 0 2 -inf 2 +inf 2 -inf 2 -2 N N 0 0 2 -inf 2 -inf 2 -inf 2 -4 N N 0 0 2 +inf 2 -inf 2 -inf 2 -1024 N N # [even+conj] 0 0 2 +inf 2 -inf 2 -inf 2 1 N N 0 0 2 -inf 2 -inf 2 -inf 2 2 N N 0 0 2 -inf 2 +inf 2 -inf 2 4 N N 0 0 2 +inf 2 +inf 2 -inf 2 1024 N N # cosh(+inf + i*inf) = +inf + i*nan (C99 leaves unspecified the sign of the # real part) 0 0 2 inf 2 nan 2 +inf 2 +inf N N # [conj]: cosh(+inf - i*inf) = +inf + i*nan 0 0 2 inf 2 nan 2 +inf 2 -inf N N # [even]: cosh(-inf - i*inf) = +inf + i*nan 0 0 2 inf 2 nan 2 -inf 2 -inf N N # [even+conj]: cosh(-inf + i*inf) = +inf + i*nan 0 0 2 inf 2 nan 2 -inf 2 +inf N N # cosh(+inf + i*nan) = +inf + i*nan 0 0 2 +inf 2 nan 2 +inf 2 nan N N # [conj] makes no sense since NaN has no sign # [even]: cosh(-inf + i*nan) = +inf + i*nan 0 0 2 +inf 2 nan 2 -inf 2 nan N N # cosh(nan + i*0) = nan - i*0 (C99 leaves unspecified the sign of the # imaginary part) 0 0 2 nan 2 0 2 nan 2 +0 N N # [conj]: cosh(nan - i*0) = nan + i*0 0 0 2 nan 2 0 2 nan 2 -0 N N # cosh(nan + i*y) = nan + i*nan for all nonzero y (including +/-inf) 0 0 2 nan 2 nan 2 nan 2 1 N N 0 0 2 nan 2 nan 2 nan 2 -1 N N 0 0 2 nan 2 nan 2 nan 2 +inf N N 0 0 2 nan 2 nan 2 nan 2 -inf N N # cosh(nan + i*nan) = nan + i*nan 0 0 2 nan 2 nan 2 nan 2 nan N N + + 53 0x10000000000001p-53 53 0x10000000000001p-52 53 0x1DA2E1BD2C9EBCp-53 53 0x138AADEA15829Fp-52 N N # huge values + - 53 +inf 53 -inf 53 0x4580CBF242683p-3 53 -0x1B3E8A3660D279p-3 N N - - 53 -inf 53 -inf 53 -0x1B3E8A3660D279p-3 53 0x4580CBF242683p-3 N N mpc-1.3.1/tests/fr_div.dsc0000644000175100017460000000153113227377425012344 00000000000000# Description file for mpc_fr_div # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_fr_div RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpfr_srcptr mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/tpl_mpfr.c0000644000175100017460000001220414345571363012365 00000000000000/* tpl_mpfr.c -- Helper functions for mpfr data. Copyright (C) 2012, 2013, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static mpfr_prec_t tpl_read_mpfr_prec (mpc_datafile_context_t* datafile_context) { unsigned long prec; int n; if (datafile_context->nextchar == EOF) { printf ("Error: Unexpected EOF when reading mpfr precision " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } ungetc (datafile_context->nextchar, datafile_context->fd); n = fscanf (datafile_context->fd, "%lu", &prec); if (ferror (datafile_context->fd)) /* then also n == EOF */ perror ("Error when reading mpfr precision"); if (n == 0 || n == EOF || prec < MPFR_PREC_MIN || prec > MPFR_PREC_MAX) { printf ("Error: Impossible mpfr precision in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); return (mpfr_prec_t) prec; } static void tpl_read_mpfr_mantissa (mpc_datafile_context_t* datafile_context, mpfr_ptr x) { if (datafile_context->nextchar == EOF) { printf ("Error: Unexpected EOF when reading mpfr mantissa " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } ungetc (datafile_context->nextchar, datafile_context->fd); if (mpfr_inp_str (x, datafile_context->fd, 0, MPFR_RNDN) == 0) { printf ("Error: Impossible to read mpfr mantissa " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } void tpl_read_mpfr (mpc_datafile_context_t* datafile_context, mpfr_ptr x, int* known_sign) { int sign; mpfr_set_prec (x, tpl_read_mpfr_prec (datafile_context)); sign = datafile_context->nextchar; tpl_read_mpfr_mantissa (datafile_context, x); /* the sign always matters for regular values ('+' is implicit), but when no sign appears before 0 or Inf in the data file, it means that only absolute value must be checked. */ MPC_ASSERT(known_sign != NULL); *known_sign = (!mpfr_zero_p (x) && !mpfr_inf_p (x)) || sign == '+' || sign == '-'; } void tpl_read_mpfr_rnd (mpc_datafile_context_t* datafile_context, mpfr_rnd_t* rnd) { switch (datafile_context->nextchar) { case 'n': case 'N': *rnd = MPFR_RNDN; break; case 'z': case 'Z': *rnd = MPFR_RNDZ; break; case 'u': case 'U': *rnd = MPFR_RNDU; break; case 'd': case 'D': *rnd = MPFR_RNDD; break; case 'a': case 'A': *rnd = MPFR_RNDA; break; default: printf ("Error: Unexpected rounding mode '%c' in file '%s' line %lu\n", datafile_context->nextchar, datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); if (datafile_context->nextchar != EOF && !isspace (datafile_context->nextchar)) { printf ("Error: Rounding mode not followed by white space " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } tpl_skip_whitespace_comments (datafile_context); } void tpl_read_mpfr_inex (mpc_datafile_context_t* datafile_context, int *ternary) { tpl_read_ternary(datafile_context, ternary); } int tpl_same_mpfr_value (mpfr_ptr x1, mpfr_ptr x2, int known_sign) { /* The sign of zeroes and infinities is checked only when known_sign is true. */ if (mpfr_nan_p (x1)) return mpfr_nan_p (x2); if (mpfr_inf_p (x1)) return mpfr_inf_p (x2) && (!known_sign || mpfr_signbit (x1) == mpfr_signbit (x2)); if (mpfr_zero_p (x1)) return mpfr_zero_p (x2) && (!known_sign || mpfr_signbit (x1) == mpfr_signbit (x2)); return mpfr_cmp (x1, x2) == 0; } int tpl_check_mpfr_data (mpfr_t got, mpfr_data_t expected) { return tpl_same_mpfr_value (got, expected.mpfr, expected.known_sign); } void tpl_copy_mpfr (mpfr_ptr dest, mpfr_srcptr src) { /* source and destination are assumed to be of the same precision , so the copy is exact (no rounding) */ MPC_ASSERT(mpfr_get_prec (dest) == mpfr_get_prec (src)); mpfr_set (dest, src, MPFR_RNDN); } mpc-1.3.1/tests/sin.dsc0000644000175100017460000000150313227377425011663 00000000000000# Description file for mpc_sin # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_sin RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr mpc_rnd_t mpc-1.3.1/tests/strtoc.dat0000644000175100017460000002415312426164730012406 00000000000000# Data file for mpc_strtoc. # # Copyright (C) 2009 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # The format respects the parameter order in function prototype as follow: # # INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM "NSTRING" "RSTRING" BASE RND_RE RND_IM # # The string NSTRING is considered as a complex number rop = rop1 + i*rop2 # written in base BASE. The remainder of the string, i.e. non-whitespace # characters being not part of the number, is equal to RSTRING. # # ROP_RE is checked against rop1 rounded to the precision PREC_ROP_RE # in the direction RND_RE # ROP_IM is checked against rop2 rounded to the precision PREC_ROP_IM # in the direction RND_IM # INEX_RE is the ternary value for the real part with the following notation: # "?" ternary value not checked # "!" function should return error indicator -1 # "+" if ROP_RE is greater than the exact mathematical result # "0" if ROP_RE is exactly the mathematical result # "-" if ROP_RE is less than the exact mathematical result # (m.m. INEX_IM) # rounding modes notation: # "N" is rounding to nearest # "Z" is rounding towards zero # "U" is rounding towards plus infinity # "D" is rounding towards minus infinity # Use prefixes "0b" for values in base two, "0x" for values in base sixteen, # no prefix for value in base ten. # In all bases, "nan" is NaN, "inf" is infinity; # The sign of the result is checked with "+inf", "-inf", "-0", or "+0". # invalid base ! ! 53 nan 53 nan "(1 1)" "(1 1)" 99 N N ! ! 53 nan 53 nan "(1 1)" "(1 1)" 1 N N # invalid strings ! ! 53 nan 53 nan "" "" 10 N N ! ! 53 nan 53 nan "non" "non" 10 N N ! ! 53 nan 53 nan "NON" "NON" 10 N N ! ! 53 nan 53 nan "N A N" "N A N" 10 N N ! ! 53 nan 53 nan "(1) 1" "(1) 1" 10 N N #no imaginary part ! ! 53 nan 53 nan "." "." 10 N N ! ! 53 nan 53 nan ". 1" ". 1" 10 N N #no space allowed here ! ! 53 nan 53 nan "+ 1" "+ 1" 2 N N #no space allowed here ! ! 53 nan 53 nan "+3 " "+3 " 2 N N #invalid digit ! ! 53 nan 53 nan "+ INF " "+ INF " 10 N N #no space allowed here ! ! 53 nan 53 nan "( +INF)" "( +INF)" 10 N N ! ! 53 nan 53 nan "(1 +1 " "(1 +1 " 10 N N ! ! 53 nan 53 nan "(1+1)" "(1+1)" 10 N N ! ! 53 nan 53 nan "(1 + 1)" "(1 + 1)" 10 N N ! ! 53 nan 53 nan "(@nan@(quiet)" "(@nan@(quiet)" 10 N N ! ! 53 nan 53 nan "zero" "zero" 10 N N ! ! 53 nan 53 nan "&^+" "&^+" 10 N N ! ! 53 nan 53 nan "i" "i" 18 N N ! ! 53 nan 53 nan "I" "I" 18 N N ! ! 53 nan 53 nan "z" "z" 35 N N ! ! 53 nan 53 nan "Z" "Z" 35 N N ! ! 53 nan 53 nan "(i 0)" "(i 0)" 18 N N ! ! 53 nan 53 nan "(I 0)" "(I 0)" 18 N N ! ! 53 nan 53 nan "(z 0)" "(z 0)" 35 N N ! ! 53 nan 53 nan "(Z 0)" "(Z 0)" 35 N N ! ! 53 nan 53 nan "(0 i)" "(0 i)" 18 N N ! ! 53 nan 53 nan "(0 I)" "(0 I)" 18 N N ! ! 53 nan 53 nan "(0 z)" "(0 z)" 35 N N ! ! 53 nan 53 nan "(0 Z)" "(0 Z)" 35 N N # special values 0 0 53 nan 53 +0 "nan" "" 10 N N 0 0 53 +nan 53 +0 "+NAN" "" 10 N N 0 0 53 nan 53 +0 " @NAN@ " " " 10 N N 0 0 53 nan 53 nan "(@nan@(QUIET) nan)" "" 10 N N 0 0 53 nan 53 +0 "@nan@(quiet" "(quiet" 10 N N 0 0 53 nan 53 +0 "NaN((keep out))" "((keep out))" 10 N N 0 0 53 nan 53 +0 "nan(0 1)" "(0 1)" 10 N N 0 0 53 nan 53 +0 "nan(0-1)" "(0-1)" 10 N N 0 0 53 nan 53 +0 "nan(0_1)" "" 10 N N 0 0 53 nan 53 +0 " nan nan nan nan" " nan nan nan" 10 N N 0 0 53 inf 53 +0 "inf" "" 10 N N 0 0 53 -inf 53 +0 "-inf" "" 10 N N 0 0 53 +inf 53 +0 " infinity" "" 10 N N 0 0 53 +inf 53 +0 "+INF x" " x" 10 N N 0 0 53 +0 53 +inf "(0 +inf)" "" 10 N N 0 0 53 +0 53 +inf " (+0 INF) " " " 10 N N 0 0 53 +0 53 -inf "(0 -infinity)" "" 10 N N 0 0 53 +0 53 -inf " (+0 -INF)" "" 10 N N 0 0 53 -inf 53 -0 " (-@inf@ -0)" "" 10 N N 0 0 53 +inf 53 nan "(+inf nan(9u137)) " " " 10 N N 0 0 53 nan 53 +0 "NaN + inf" " + inf" 10 N N # pure real argument 0 0 53 +0 53 +0 "0" "" 10 N N 0 0 53 +0 53 +0 "00000" "" 10 N N 0 0 53 +0 53 +0 "+0" "" 10 N N 0 0 53 -0 53 +0 "-0" "" 10 N N 0 0 53 +1 53 +0 "1" "" 10 N N 0 0 53 +1 53 +0 "001" "" 10 N N 0 0 53 +1 53 +0 "1 +1" " +1" 10 N N 0 0 53 +1 53 +0 "1a" "a" 10 N N 0 0 53 +1 53 +0 "1e-" "e-" 10 N N 0 0 53 +1 53 +0 "1+2" "+2" 10 N N - 0 53 +0x9D70A3D70A3D7p-51 53 +0 "(+1.23 0.0)" "" 10 N N 0 0 53 -10 53 +0 "(-10. 0000) " " " 10 N N 0 0 53 +0x5p-3 53 -0 "(.625 -0)" "" 10 N N - 0 53 +0x14E718D7D7625Ap+612 53 +0 "(1e200 0)" "" 10 N N 0 0 53 +0x7530 53 +0 " (3e+4 0)" "" 10 N N - 0 53 +0x10C6F7A0B5ED8Dp-73 53 +0 ".5e-6" "" 10 N N - 0 53 +0x1B1C1E0D914133p-83 53 +0 "(7.89E-10 0)" "" 10 N N + 0 53 -0x7B426FAB61F00Cp+56 53 +0 " -25@+32" "" 10 N N 0 0 53 -25 53 +0 "-25p+32" "p+32" 10 N N 0 0 53 +43981 53 +0 "0xabcd" "" 16 N N 0 0 53 +0 53 +0 "0xabcd" "xabcd" 10 N N #no prefix in base ten 0 0 53 +2 53 +0 "+0b010" "" 2 N N 0 0 53 +0 53 +0 "+0b010" "b010" 10 N N #no prefix in base ten 0 0 53 +1 53 +0 "1*i" "*i" 10 N N 0 0 53 +18 53 +0 "i*i" "*i" 20 N N 0 0 53 18 53 0 "i" "" 19 N N 0 0 53 35 53 0 "z" "" 36 N N 0 0 53 35 53 0 "Z" "" 36 N N # pure imaginary argument 0 0 53 +0 53 +1 "(0 1)" "" 10 N N 0 0 53 +0 53 +1 "(0 +1)" "" 20 N N 0 0 53 -0 53 -1 " (-0 -1)" "" 10 N N 0 0 53 -0 53 -2 "(-0 -2) " " " 10 N N 0 0 53 +0 53 +2 "(+0 2)" "" 10 N N 0 0 53 +0 53 +17 "(0 h)" "" 20 N N 0 0 53 +0 53 +18 "(0 i)" "" 20 N N 0 + 53 +0 53 -0x14F800008637BDp-44 "(0 -33.55000005e+1)" "" 10 N Z 0 + 53 +0 53 -0xA1765976008AFp-401 "(+0 -.550000E-105) " " " 10 N U 0 0 53 0 53 18 "(0 i)" "" 19 N N 0 0 53 0 53 18 "(0 I)" "" 19 N N 0 0 53 0 53 35 "(0 z)" "" 36 N N 0 0 53 0 53 35 "(0 Z)" "" 36 N N # complex argument 0 0 53 +1 53 +1 "( 1 +1)" "" 10 N N 0 0 53 +1 53 +1 " (1 +1) " " " 10 N N 0 0 53 +7 53 +14 "(7 14)" "" 10 N N 0 0 53 +17 53 +1 "(+17 1)" "" 10 N N 0 0 53 +27 53 +1 " (+17 +1)" "" 20 N N 0 0 53 -18 53 -1 "(-i -1)" "" 20 N N 0 0 53 +18 53 -1 "(i -1)" "" 20 N N 0 0 53 -18 53 +1 "(-i +1)" "" 20 N N 0 0 53 +18 53 +18 "(i +i)" "" 20 N N 0 0 53 -14643 53 +20328 "(-bar foo)" "" 36 N N 0 0 53 -1647190 53 -512315 "(-zaza -azaz)" "" 36 N N 0 0 53 +0b1010 53 +0xabcd "(0b1010 +0xabcd)" "" 0 N N #base autodetection 0 0 53 +0xabcd 53 +0b1010 "(+0xa.bcd@+3 0b.101p4)" "" 0 N N #base autodetection # white space before the closing ')' 0 0 53 +1 53 +1 "( 1 +1 )1" "1" 10 N N mpc-1.3.1/tests/tpl_gmp.c0000644000175100017460000000316413227377425012212 00000000000000/* tpl_gmp.c -- Helper functions for mpfr data. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" void tpl_read_mpz (mpc_datafile_context_t* datafile_context, mpz_t mpz) { if (datafile_context->nextchar == EOF) { printf ("Error: Unexpected EOF when reading mpz " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } ungetc (datafile_context->nextchar, datafile_context->fd); if (mpz_inp_str (mpz, datafile_context->fd, 0) == 0) { printf ("Error: Impossible to read mpz " "in file '%s' line %lu\n", datafile_context->pathname, datafile_context->line_number); exit (1); } datafile_context->nextchar = getc (datafile_context->fd); tpl_skip_whitespace_comments (datafile_context); } int tpl_same_mpz_value (mpz_ptr z1, mpz_ptr z2) { return mpz_cmp (z1, z2) == 0; } void tpl_copy_mpz (mpz_ptr dest, mpz_srcptr src) { mpz_set (dest, src); } mpc-1.3.1/tests/mul_si.dsc0000644000175100017460000000154313227377425012366 00000000000000# Description file for mpc_mul_si # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # NAME: mpc_mul_si RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/tsqrt.c0000644000175100017460000000433214230544406011711 00000000000000/* tsqrt -- test file for mpc_sqrt. Copyright (C) 2008, 2013, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sqrt (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sqrt (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" /* check with reduced exponent range */ static void bug20200207 (void) { mpfr_exp_t emin = mpfr_get_emin (); mpfr_exp_t emax = mpfr_get_emax (); mpc_t x, z, zr; mpfr_set_emin (-148); mpfr_set_emax (128); mpc_init2 (x, 24); mpc_init2 (z, 24); mpc_init2 (zr, 24); mpfr_set_d (mpc_realref (x), -1.89432151320234e24, MPFR_RNDN); mpfr_set_d (mpc_imagref (x), -1.06397209600000e9, MPFR_RNDN); mpc_sqrt (z, x, MPC_RNDNN); /* square root is 0.00038652126908433 - 1.37634353022868e12*I */ mpfr_set_d (mpc_realref (zr), 0.00038652126908433, MPFR_RNDN); mpfr_set_d (mpc_imagref (zr), -1.37634353022868e12, MPFR_RNDN); if (mpc_cmp (z, zr)) { printf ("Incorrect square root with reduced exponent range:\n"); mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr)); mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z)); exit (1); } mpc_clear (x); mpc_clear (z); mpc_clear (zr); mpfr_set_emin (emin); mpfr_set_emax (emax); } int main (void) { test_start (); bug20200207 (); data_check_template ("sqrt.dsc", "sqrt.dat"); tgeneric_template ("sqrt.dsc", 2, 1024, 7, 256); test_end (); return 0; } mpc-1.3.1/tests/tmul_i.c0000644000175100017460000000542113227377425012037 00000000000000/* tmul_i -- test file for mpc_mul_i. Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" static void check_different_precisions(void) { /* check reuse when real and imaginary part have different precisions. */ mpc_t z, expected, got; int res; mpc_init2(z, 128); mpc_init2(expected, 128); mpc_init2(got, 128); /* change precision of one part */ mpfr_set_prec (mpc_imagref (z), 32); mpfr_set_prec (mpc_imagref (expected), 32); mpfr_set_prec (mpc_imagref (got), 32); mpfr_set_str (mpc_realref (z), "0x100000000fp-32", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref (z), "-1", 2, MPFR_RNDN); mpfr_set_str (mpc_realref (expected), "+1", 2, MPFR_RNDN); mpfr_set_str (mpc_imagref (expected), "0x100000000fp-32", 16, MPFR_RNDN); mpc_set (got, z, MPC_RNDNN); res = mpc_mul_i (got, got, +1, MPC_RNDNN); if (MPC_INEX_RE(res) != 0 || MPC_INEX_IM(res) >=0) { printf("Wrong inexact flag for mpc_mul_i(z, z, n)\n" " got (re=%2d, im=%2d)\nexpected (re= 0, im=-1)\n", MPC_INEX_RE(res), MPC_INEX_IM(res)); exit(1); } if (mpc_cmp(got, expected) != 0) { printf ("Error for mpc_mul_i(z, z, n) for\n"); MPC_OUT (z); printf ("n=+1\n"); MPC_OUT (expected); MPC_OUT (got); exit (1); } mpc_neg (expected, expected, MPC_RNDNN); mpc_set (got, z, MPC_RNDNN); mpc_mul_i (got, got, -1, MPC_RNDNN); if (mpc_cmp(got, expected) != 0) { printf ("Error for mpc_mul_i(z, z, n) for\n"); MPC_OUT (z); printf ("n=-1\n"); MPC_OUT (expected); MPC_OUT (got); exit (1); } mpc_clear (z); mpc_clear (expected); mpc_clear (got); } #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul_i (P[1].mpc, P[2].mpc, P[3].i, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul_i (P[1].mpc, P[1].mpc, P[3].i, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); check_different_precisions (); tgeneric_template ("mul_i.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/tmul_2si.c0000644000175100017460000000225613227377425012307 00000000000000/* tmul_2si -- test file for mpc_mul_2si. Copyright (C) 2012, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul_2si (P[1].mpc, P[2].mpc, P[3].si, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul_2si (P[1].mpc, P[1].mpc, P[3].si, P[4].mpc_rnd) #include "tgeneric.tpl" int main (void) { test_start (); tgeneric_template ("mul_2si.dsc", 2, 1024, 7, 1024); test_end (); return 0; } mpc-1.3.1/tests/init_parameters.c0000644000175100017460000000354013227377425013734 00000000000000/* init_parameters -- Allocate memory for function parameters. Copyright (C) 2012, 2014 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-tests.h" static void init_param (mpc_operand_t* p, mpc_param_t t) { switch (t) { case NATIVE_INT: case NATIVE_UL: case NATIVE_L: case NATIVE_D: break; case GMP_Z: mpz_init (p->mpz); break; case GMP_Q: mpq_init (p->mpq); break; case GMP_F: mpf_init (p->mpf); break; case MPFR_INEX: break; case MPFR: mpfr_init2 (p->mpfr, 512); break; case MPC_INEX: case MPCC_INEX: break; case MPC: mpc_init2 (p->mpc, 512); break; case MPFR_RND: case MPC_RND: break; default: fprintf (stderr, "init_parameters: unsupported type.\n"); exit (1); } } void init_parameters (mpc_fun_param_t *params) { int in, out; int total = params->nbout + params->nbin; for (out = 0; out < params->nbout; out++) { init_param (&(params->P[out]), params->T[out]); init_param (&(params->P[total + out]), params->T[total + out]); } for (in = params->nbout; in < total; in++) { init_param (&(params->P[in]), params->T[in]); } } mpc-1.3.1/tests/pow_ui.dsc0000644000175100017460000000162613227377425012402 00000000000000# Description file for mpc_pow_ui # # Copyright (C) 2008, 2010, 2011, 2012, INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_pow_ui RETURN: mpc_inex OUTPUT: mpc_ptr INPUT: mpc_srcptr unsigned long int mpc_rnd_t mpc-1.3.1/tests/tfr_div.c0000644000175100017460000000237413227377425012207 00000000000000/* tfr_div -- test file for mpc_fr_div. Copyright (C) 2008, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_fr_div (P[1].mpc, P[2].mpfr, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_fr_div (P[1].mpc, P[2].mpfr, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start(); data_check_template ("fr_div.dsc", "fr_div.dat"); tgeneric_template ("fr_div.dsc", 2, 1024, 7, 65535); test_end (); return 0; } mpc-1.3.1/tests/div.dat0000644000175100017460000040001413717736770011661 00000000000000# Data file for mpc_div. # # Copyright (C) 2008, 2009, 2010, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add.dat. # special values 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -inf 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -1 7 -inf N N 0 0 7 +inf 7 nan 7 -inf 7 -inf 7 -1 7 -1 N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -1 7 -0 N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -1 7 +0 N N 0 0 7 nan 7 +inf 7 -inf 7 -inf 7 -1 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -1 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -0 7 -inf N N 0 0 7 +inf 7 -inf 7 -inf 7 -inf 7 -0 7 -1 N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -0 7 -0 N N 0 0 7 +inf 7 +inf 7 -inf 7 -inf 7 -0 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 -inf 7 -0 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 -0 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +0 7 -inf N N 0 0 7 +inf 7 -inf 7 -inf 7 -inf 7 +0 7 -1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 +0 7 -0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 +0 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 -inf 7 +0 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +0 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 1 7 -inf N N 0 0 7 nan 7 -inf 7 -inf 7 -inf 7 1 7 -1 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 1 7 -0 N N 0 0 7 -inf 7 -inf 7 -inf 7 -inf 7 1 7 +0 N N 0 0 7 -inf 7 nan 7 -inf 7 -inf 7 1 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 1 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 -inf 7 +inf 7 +inf N N 0 0 7 nan 7 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7 -inf 7 -inf 7 -inf 7 1 7 1 7 -1 N N 0 0 7 -inf 7 nan 7 -inf 7 1 7 1 7 -0 N N 0 0 7 -inf 7 nan 7 -inf 7 1 7 1 7 +0 N N 0 0 7 -inf 7 +inf 7 -inf 7 1 7 1 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 1 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 1 N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 -inf 7 1 7 nan 7 nan N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 -inf 7 +inf 7 -inf 7 -0 N N 0 0 7 nan 7 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7 nan N N 0 0 7 nan 7 nan 7 nan 7 1 7 +0 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 +0 7 -1 N N 0 0 7 nan 7 +inf 7 nan 7 1 7 +0 7 -0 N N 0 0 7 nan 7 +inf 7 nan 7 1 7 +0 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 +0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 1 7 nan 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -1 7 -inf N N 0 0 7 -inf 7 -inf 7 nan 7 +inf 7 -1 7 -1 N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -1 7 -0 N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -1 7 +0 N N 0 0 7 +inf 7 -inf 7 nan 7 +inf 7 -1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -0 7 -inf N N 0 0 7 -inf 7 nan 7 nan 7 +inf 7 -0 7 -1 N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -0 7 -0 N N 0 0 7 nan 7 -inf 7 nan 7 +inf 7 -0 7 +0 N N 0 0 7 +inf 7 nan 7 nan 7 +inf 7 -0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 -0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +0 7 -inf N N 0 0 7 -inf 7 nan 7 nan 7 +inf 7 +0 7 -1 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 +0 7 -0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 +0 7 +0 N N 0 0 7 +inf 7 nan 7 nan 7 +inf 7 +0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 1 7 -inf N N 0 0 7 -inf 7 +inf 7 nan 7 +inf 7 1 7 -1 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 1 7 -0 N N 0 0 7 nan 7 +inf 7 nan 7 +inf 7 1 7 +0 N N 0 0 7 +inf 7 +inf 7 nan 7 +inf 7 1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 +inf 7 nan 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 -0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +0 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 1 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 +inf 7 nan N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 -inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 -1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 -0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 +0 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 1 N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 +inf N N 0 0 7 nan 7 nan 7 nan 7 nan 7 nan 7 nan N N # finite values 0 0 7 1 7 +0 7 -1 7 -1 7 -1 7 -1 N N 0 0 7 1 7 1 7 -1 7 -1 7 -1 7 -0 N N 0 0 7 1 7 1 7 -1 7 -1 7 -1 7 +0 N N 0 0 7 +0 7 1 7 -1 7 -1 7 -1 7 1 N N 0 0 7 1 7 -1 7 -1 7 -1 7 -0 7 -1 N N 0 0 7 +inf 7 +inf 7 -1 7 -1 7 -0 7 -0 N N 0 0 7 +inf 7 +inf 7 -1 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 1 7 -1 7 -1 7 -0 7 1 N N 0 0 7 1 7 -1 7 -1 7 -1 7 +0 7 -1 N N 0 0 7 -inf 7 -inf 7 -1 7 -1 7 +0 7 -0 N N 0 0 7 -inf 7 -inf 7 -1 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 1 7 -1 7 -1 7 +0 7 1 N N 0 0 7 +0 7 -1 7 -1 7 -1 7 1 7 -1 N N 0 0 7 -1 7 -1 7 -1 7 -1 7 1 7 -0 N N 0 0 7 -1 7 -1 7 -1 7 -1 7 1 7 +0 N N 0 0 7 -1 7 +0 7 -1 7 -1 7 1 7 1 N N 0 0 7 0.5 7 -0.5 7 -1 7 -0 7 -1 7 -1 N N 0 0 7 1 7 +0 7 -1 7 -0 7 -1 7 -0 N N 0 0 7 1 7 +0 7 -1 7 -0 7 -1 7 +0 N N 0 0 7 0.5 7 0.5 7 -1 7 -0 7 -1 7 1 N N 0 0 7 +0 7 -1 7 -1 7 -0 7 -0 7 -1 N N 0 0 7 +inf 7 nan 7 -1 7 -0 7 -0 7 -0 N N 0 0 7 +inf 7 nan 7 -1 7 -0 7 -0 7 +0 N N 0 0 7 +0 7 1 7 -1 7 -0 7 -0 7 1 N N 0 0 7 +0 7 -1 7 -1 7 -0 7 +0 7 -1 N N 0 0 7 -inf 7 nan 7 -1 7 -0 7 +0 7 -0 N N 0 0 7 -inf 7 nan 7 -1 7 -0 7 +0 7 +0 N N 0 0 7 -0 7 1 7 -1 7 -0 7 +0 7 1 N N 0 0 7 -0.5 7 -0.5 7 -1 7 -0 7 1 7 -1 N N 0 0 7 -1 7 -0 7 -1 7 -0 7 1 7 -0 N N 0 0 7 -1 7 +0 7 -1 7 -0 7 1 7 +0 N N 0 0 7 -0.5 7 0.5 7 -1 7 -0 7 1 7 1 N N 0 0 7 0.5 7 -0.5 7 -1 7 +0 7 -1 7 -1 N N 0 0 7 1 7 -0 7 -1 7 +0 7 -1 7 -0 N N 0 0 7 1 7 +0 7 -1 7 +0 7 -1 7 +0 N N 0 0 7 0.5 7 0.5 7 -1 7 +0 7 -1 7 1 N N 0 0 7 +0 7 -1 7 -1 7 +0 7 -0 7 -1 N N 0 0 7 +inf 7 nan 7 -1 7 +0 7 -0 7 -0 N N 0 0 7 +inf 7 nan 7 -1 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 1 7 -1 7 +0 7 -0 7 1 N N 0 0 7 -0 7 -1 7 -1 7 +0 7 +0 7 -1 N N 0 0 7 -inf 7 nan 7 -1 7 +0 7 +0 7 -0 N N 0 0 7 -inf 7 nan 7 -1 7 +0 7 +0 7 +0 N N 0 0 7 +0 7 1 7 -1 7 +0 7 +0 7 1 N N 0 0 7 -0.5 7 -0.5 7 -1 7 +0 7 1 7 -1 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 1 7 -0 N N 0 0 7 -1 7 +0 7 -1 7 +0 7 1 7 +0 N N 0 0 7 -0.5 7 0.5 7 -1 7 +0 7 1 7 1 N N 0 0 7 +0 7 -1 7 -1 7 1 7 -1 7 -1 N N 0 0 7 1 7 -1 7 -1 7 1 7 -1 7 -0 N N 0 0 7 1 7 -1 7 -1 7 1 7 -1 7 +0 N N 0 0 7 1 7 +0 7 -1 7 1 7 -1 7 1 N N 0 0 7 -1 7 -1 7 -1 7 1 7 -0 7 -1 N N 0 0 7 +inf 7 -inf 7 -1 7 1 7 -0 7 -0 N N 0 0 7 +inf 7 -inf 7 -1 7 1 7 -0 7 +0 N N 0 0 7 1 7 1 7 -1 7 1 7 -0 7 1 N N 0 0 7 -1 7 -1 7 -1 7 1 7 +0 7 -1 N N 0 0 7 -inf 7 +inf 7 -1 7 1 7 +0 7 -0 N N 0 0 7 -inf 7 +inf 7 -1 7 1 7 +0 7 +0 N N 0 0 7 1 7 1 7 -1 7 1 7 +0 7 1 N N 0 0 7 -1 7 +0 7 -1 7 1 7 1 7 -1 N N 0 0 7 -1 7 1 7 -1 7 1 7 1 7 -0 N N 0 0 7 -1 7 1 7 -1 7 1 7 1 7 +0 N N 0 0 7 +0 7 1 7 -1 7 1 7 1 7 1 N N 0 0 7 0.5 7 0.5 7 -0 7 -1 7 -1 7 -1 N N 0 0 7 +0 7 1 7 -0 7 -1 7 -1 7 -0 N N 0 0 7 +0 7 1 7 -0 7 -1 7 -1 7 +0 N N 0 0 7 -0.5 7 0.5 7 -0 7 -1 7 -1 7 1 N N 0 0 7 1 7 +0 7 -0 7 -1 7 -0 7 -1 N N 0 0 7 nan 7 +inf 7 -0 7 -1 7 -0 7 -0 N N 0 0 7 nan 7 +inf 7 -0 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 +0 7 -0 7 -1 7 -0 7 1 N N 0 0 7 1 7 -0 7 -0 7 -1 7 +0 7 -1 N N 0 0 7 nan 7 -inf 7 -0 7 -1 7 +0 7 -0 N N 0 0 7 nan 7 -inf 7 -0 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 +0 7 -0 7 -1 7 +0 7 1 N N 0 0 7 0.5 7 -0.5 7 -0 7 -1 7 1 7 -1 N N 0 0 7 +0 7 -1 7 -0 7 -1 7 1 7 -0 N N 0 0 7 -0 7 -1 7 -0 7 -1 7 1 7 +0 N N 0 0 7 -0.5 7 -0.5 7 -0 7 -1 7 1 7 1 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -1 7 -1 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -1 7 -0 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -1 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -1 7 1 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 -0 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 -0 7 -0 7 1 N N 0 0 7 +0 7 -0 7 -0 7 -0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 -0 7 +0 7 +0 N N 0 0 7 -0 7 +0 7 -0 7 -0 7 +0 7 1 N N 0 0 7 +0 7 -0 7 -0 7 -0 7 1 7 -1 N N 0 0 7 +0 7 -0 7 -0 7 -0 7 1 7 -0 N N 0 0 7 -0 7 +0 7 -0 7 -0 7 1 7 +0 N N 0 0 7 -0 7 +0 7 -0 7 -0 7 1 7 1 N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -1 7 -1 N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -1 7 -0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 -1 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 -1 7 1 N N 0 0 7 +0 7 -0 7 -0 7 +0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 -0 7 1 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 -0 7 +0 7 +0 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 +0 7 1 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 1 7 -1 N N 0 0 7 -0 7 +0 7 -0 7 +0 7 1 7 -0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 1 7 +0 N N 0 0 7 +0 7 +0 7 -0 7 +0 7 1 7 1 N N 0 0 7 -0.5 7 -0.5 7 -0 7 1 7 -1 7 -1 N N 0 0 7 +0 7 -1 7 -0 7 1 7 -1 7 -0 N N 0 0 7 +0 7 -1 7 -0 7 1 7 -1 7 +0 N N 0 0 7 0.5 7 -0.5 7 -0 7 1 7 -1 7 1 N N 0 0 7 -1 7 -0 7 -0 7 1 7 -0 7 -1 N N 0 0 7 nan 7 -inf 7 -0 7 1 7 -0 7 -0 N N 0 0 7 nan 7 -inf 7 -0 7 1 7 -0 7 +0 N N 0 0 7 1 7 +0 7 -0 7 1 7 -0 7 1 N N 0 0 7 -1 7 +0 7 -0 7 1 7 +0 7 -1 N N 0 0 7 nan 7 +inf 7 -0 7 1 7 +0 7 -0 N N 0 0 7 nan 7 +inf 7 -0 7 1 7 +0 7 +0 N N 0 0 7 1 7 +0 7 -0 7 1 7 +0 7 1 N N 0 0 7 -0.5 7 0.5 7 -0 7 1 7 1 7 -1 N N 0 0 7 -0 7 1 7 -0 7 1 7 1 7 -0 N N 0 0 7 +0 7 1 7 -0 7 1 7 1 7 +0 N N 0 0 7 0.5 7 0.5 7 -0 7 1 7 1 7 1 N N 0 0 7 0.5 7 0.5 7 +0 7 -1 7 -1 7 -1 N N 0 0 7 +0 7 1 7 +0 7 -1 7 -1 7 -0 N N 0 0 7 -0 7 1 7 +0 7 -1 7 -1 7 +0 N N 0 0 7 -0.5 7 0.5 7 +0 7 -1 7 -1 7 1 N N 0 0 7 1 7 +0 7 +0 7 -1 7 -0 7 -1 N N 0 0 7 nan 7 +inf 7 +0 7 -1 7 -0 7 -0 N N 0 0 7 nan 7 +inf 7 +0 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 +0 7 +0 7 -1 7 -0 7 1 N N 0 0 7 1 7 +0 7 +0 7 -1 7 +0 7 -1 N N 0 0 7 nan 7 -inf 7 +0 7 -1 7 +0 7 -0 N N 0 0 7 nan 7 -inf 7 +0 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 -0 7 +0 7 -1 7 +0 7 1 N N 0 0 7 0.5 7 -0.5 7 +0 7 -1 7 1 7 -1 N N 0 0 7 +0 7 -1 7 +0 7 -1 7 1 7 -0 N N 0 0 7 +0 7 -1 7 +0 7 -1 7 1 7 +0 N N 0 0 7 -0.5 7 -0.5 7 +0 7 -1 7 1 7 1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 -1 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 -1 7 -0 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -1 7 +0 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -1 7 1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 -0 7 +0 N N 0 0 7 -0 7 +0 7 +0 7 -0 7 -0 7 1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 -0 7 +0 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 +0 7 1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 1 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 -0 7 1 7 -0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 1 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 -0 7 1 7 1 N N 0 0 7 -0 7 +0 7 +0 7 +0 7 -1 7 -1 N N 0 0 7 -0 7 +0 7 +0 7 +0 7 -1 7 -0 N N 0 0 7 +0 7 -0 7 +0 7 +0 7 -1 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 +0 7 -1 7 1 N N 0 0 7 -0 7 +0 7 +0 7 +0 7 -0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 -0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 -0 7 +0 7 +0 7 -0 7 1 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 +0 7 -1 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 +0 7 -0 N N 0 0 7 nan 7 nan 7 +0 7 +0 7 +0 7 +0 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 +0 7 1 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 1 7 -1 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 1 7 -0 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 1 7 +0 N N 0 0 7 +0 7 +0 7 +0 7 +0 7 1 7 1 N N 0 0 7 -0.5 7 -0.5 7 +0 7 1 7 -1 7 -1 N N 0 0 7 -0 7 -1 7 +0 7 1 7 -1 7 -0 N N 0 0 7 +0 7 -1 7 +0 7 1 7 -1 7 +0 N N 0 0 7 0.5 7 -0.5 7 +0 7 1 7 -1 7 1 N N 0 0 7 -1 7 +0 7 +0 7 1 7 -0 7 -1 N N 0 0 7 nan 7 -inf 7 +0 7 1 7 -0 7 -0 N N 0 0 7 nan 7 -inf 7 +0 7 1 7 -0 7 +0 N N 0 0 7 1 7 -0 7 +0 7 1 7 -0 7 1 N N 0 0 7 -1 7 +0 7 +0 7 1 7 +0 7 -1 N N 0 0 7 nan 7 +inf 7 +0 7 1 7 +0 7 -0 N N 0 0 7 nan 7 +inf 7 +0 7 1 7 +0 7 +0 N N 0 0 7 1 7 +0 7 +0 7 1 7 +0 7 1 N N 0 0 7 -0.5 7 0.5 7 +0 7 1 7 1 7 -1 N N 0 0 7 +0 7 1 7 +0 7 1 7 1 7 -0 N N 0 0 7 +0 7 1 7 +0 7 1 7 1 7 +0 N N 0 0 7 0.5 7 0.5 7 +0 7 1 7 1 7 1 N N 0 0 7 +0 7 1 7 1 7 -1 7 -1 7 -1 N N 0 0 7 -1 7 1 7 1 7 -1 7 -1 7 -0 N N 0 0 7 -1 7 1 7 1 7 -1 7 -1 7 +0 N N 0 0 7 -1 7 +0 7 1 7 -1 7 -1 7 1 N N 0 0 7 1 7 1 7 1 7 -1 7 -0 7 -1 N N 0 0 7 -inf 7 +inf 7 1 7 -1 7 -0 7 -0 N N 0 0 7 -inf 7 +inf 7 1 7 -1 7 -0 7 +0 N N 0 0 7 -1 7 -1 7 1 7 -1 7 -0 7 1 N N 0 0 7 1 7 1 7 1 7 -1 7 +0 7 -1 N N 0 0 7 +inf 7 -inf 7 1 7 -1 7 +0 7 -0 N N 0 0 7 +inf 7 -inf 7 1 7 -1 7 +0 7 +0 N N 0 0 7 -1 7 -1 7 1 7 -1 7 +0 7 1 N N 0 0 7 1 7 +0 7 1 7 -1 7 1 7 -1 N N 0 0 7 1 7 -1 7 1 7 -1 7 1 7 -0 N N 0 0 7 1 7 -1 7 1 7 -1 7 1 7 +0 N N 0 0 7 +0 7 -1 7 1 7 -1 7 1 7 1 N N 0 0 7 -0.5 7 0.5 7 1 7 -0 7 -1 7 -1 N N 0 0 7 -1 7 +0 7 1 7 -0 7 -1 7 -0 N N 0 0 7 -1 7 +0 7 1 7 -0 7 -1 7 +0 N N 0 0 7 -0.5 7 -0.5 7 1 7 -0 7 -1 7 1 N N 0 0 7 +0 7 1 7 1 7 -0 7 -0 7 -1 N N 0 0 7 -inf 7 nan 7 1 7 -0 7 -0 7 -0 N N 0 0 7 -inf 7 nan 7 1 7 -0 7 -0 7 +0 N N 0 0 7 -0 7 -1 7 1 7 -0 7 -0 7 1 N N 0 0 7 +0 7 1 7 1 7 -0 7 +0 7 -1 N N 0 0 7 +inf 7 nan 7 1 7 -0 7 +0 7 -0 N N 0 0 7 +inf 7 nan 7 1 7 -0 7 +0 7 +0 N N 0 0 7 +0 7 -1 7 1 7 -0 7 +0 7 1 N N 0 0 7 0.5 7 0.5 7 1 7 -0 7 1 7 -1 N N 0 0 7 1 7 +0 7 1 7 -0 7 1 7 -0 N N 0 0 7 1 7 -0 7 1 7 -0 7 1 7 +0 N N 0 0 7 0.5 7 -0.5 7 1 7 -0 7 1 7 1 N N 0 0 7 -0.5 7 0.5 7 1 7 +0 7 -1 7 -1 N N 0 0 7 -1 7 +0 7 1 7 +0 7 -1 7 -0 N N 0 0 7 -1 7 -0 7 1 7 +0 7 -1 7 +0 N N 0 0 7 -0.5 7 -0.5 7 1 7 +0 7 -1 7 1 N N 0 0 7 -0 7 1 7 1 7 +0 7 -0 7 -1 N N 0 0 7 -inf 7 nan 7 1 7 +0 7 -0 7 -0 N N 0 0 7 -inf 7 nan 7 1 7 +0 7 -0 7 +0 N N 0 0 7 +0 7 -1 7 1 7 +0 7 -0 7 1 N N 0 0 7 +0 7 1 7 1 7 +0 7 +0 7 -1 N N 0 0 7 +inf 7 nan 7 1 7 +0 7 +0 7 -0 N N 0 0 7 +inf 7 nan 7 1 7 +0 7 +0 7 +0 N N 0 0 7 +0 7 -1 7 1 7 +0 7 +0 7 1 N N 0 0 7 0.5 7 0.5 7 1 7 +0 7 1 7 -1 N N 0 0 7 1 7 +0 7 1 7 +0 7 1 7 -0 N N 0 0 7 1 7 +0 7 1 7 +0 7 1 7 +0 N N 0 0 7 0.5 7 -0.5 7 1 7 +0 7 1 7 1 N N 0 0 7 -1 7 +0 7 1 7 1 7 -1 7 -1 N N 0 0 7 -1 7 -1 7 1 7 1 7 -1 7 -0 N N 0 0 7 -1 7 -1 7 1 7 1 7 -1 7 +0 N N 0 0 7 +0 7 -1 7 1 7 1 7 -1 7 1 N N 0 0 7 -1 7 1 7 1 7 1 7 -0 7 -1 N N 0 0 7 -inf 7 -inf 7 1 7 1 7 -0 7 -0 N N 0 0 7 -inf 7 -inf 7 1 7 1 7 -0 7 +0 N N 0 0 7 1 7 -1 7 1 7 1 7 -0 7 1 N N 0 0 7 -1 7 1 7 1 7 1 7 +0 7 -1 N N 0 0 7 +inf 7 +inf 7 1 7 1 7 +0 7 -0 N N 0 0 7 +inf 7 +inf 7 1 7 1 7 +0 7 +0 N N 0 0 7 1 7 -1 7 1 7 1 7 +0 7 1 N N 0 0 7 +0 7 1 7 1 7 1 7 1 7 -1 N N 0 0 7 1 7 1 7 1 7 1 7 1 7 -0 N N 0 0 7 1 7 1 7 1 7 1 7 1 7 +0 N N 0 0 7 1 7 +0 7 1 7 1 7 1 7 1 N N # small exact/inexact examples - - 10 0b1.01010001 10 -0b1.1000101@-6 10 973 10 964 10 725 10 745 N N 0 0 10 -14 10 9 10 -837 10 637 10 63 10 -5 N N 0 0 2 2 2 -1 2 4 2 3 2 1 2 2 N N + - 4 1.375 4 1.25 4 15 4 14 4 11 4 0 N N # Bug 20080923 + + 4 0b11@527 4 -0b111@-489 4 -0b11@-206 4 0 4 -0b1@-733 4 -0b101@-1750 N Z # potential intermediate over- or underflow 0 0 10 1 10 0 10 0 10 0b1@536870912 10 0 10 0b1@536870912 N N 0 0 10 1 10 0 10 0b1@536870912 10 0 10 0b1@536870912 10 0 N N # bug found by tgeneric of ui_div + + 2 0b1.1@256 2 0b1.1@-2758 34 52349199244 2 0 2 0b1.1@-221 2 -0b1@-3234 U N # cases that should yield 1, but cannot be handled due to intermediate # over- or underflows # current result: (@NaN@ 0) #0 0 10 1 10 0 10 1 10 0b1@536870912 10 1 10 0b1@536870912 N N # current result: (@Inf@ 0) #0 0 10 1 10 0 10 1 10 0b1@-536870913 10 1 10 0b1@-536870913 N N # current result: (@NaN@ 0) #0 0 10 1 10 0 10 0b1@536870912 10 0b1@536870912 10 0b1@536870912 10 0b1@536870912 N N # current result: (@NaN@ 0) #0 0 10 1 10 0 10 0b1@-536870913 10 0b1@-536870913 10 0b1@-536870913 10 0b1@-536870913 N N # current result: (@Inf@ 0) #0 0 10 1 10 0 10 0b1@536870912 10 0b1@-536870913 10 0b1@536870912 10 0b1@-536870913 N N # cases that should yield i, but cannot be handled due to intermediate # over- or underflows # current result: (0 @Inf@) #0 0 10 0 10 1 10 -0b1@536870912 10 1 10 1 10 0b1@536870912 N N # current result: (@NaN@ 1.0) #0 0 10 0 10 1 10 -0b1@-536870913 10 1 10 1 10 0b1@-536870913 N N # current result: (0 @Inf@) #0 0 10 0 10 1 10 -0b1@536870912 10 0b1@536870912 10 0b1@536870912 10 0b1@536870912 N N # current result: (@NaN@ 0) #0 0 10 0 10 1 10 -0b1@-536870913 10 0b1@-536870913 10 0b1@-536870913 10 0b1@-536870913 N N # current result: (@NaN@ @Inf@) #0 0 10 0 10 1 10 -0b1@-536870913 10 0b1@536870912 10 0b1@536870912 10 0b1@-536870913 N N # examples to exercise overflow (re) # positive overflow + 0 2 inf 2 0 10 0x3ffp1073741811 10 0x3ffp1073741811 10 0x2abp-10 10 0x2abp-10 N N # negative overflow - 0 2 -inf 2 0 10 -0x3ffp1073741811 10 -0x3ffp1073741811 10 0x2abp-10 10 0x2abp-10 N N # examples to exercise overflow (im) # positive overflow 0 + 2 0 2 inf 10 0x3ffp1073741811 10 0x3ffp1073741811 10 0x2abp-10 10 -0x2abp-10 N N # negative overflow 0 - 2 0 2 -inf 10 -0x3ffp1073741811 10 -0x3ffp1073741811 10 0x2abp-10 10 -0x2abp-10 N N # examples to exercise underflow # (1.5+i)*2^emin/(1-i) gives (0.25 + 1.25*i)*2^emin - - 2 0 2 0x1p-1073741823 2 0x3p-1073741824 2 0x1p-1073741823 2 1 2 -1 Z Z # (1.5+i)*2^emin/(1+i) gives (1.25 - 0.25*i)*2^emin - + 2 0x1p-1073741823 2 -0 2 0x3p-1073741824 2 0x1p-1073741823 2 1 2 1 Z Z # example with exact division (0 -1) which works: 0 0 2 0 2 -1 2 -0x1p50450368 2 0x1p50450368 2 -0x1p50450368 2 -0x1p50450368 N N # same with larger exponents, which gives (0 -Inf) in revision 389c43d: 0 0 2 0 2 -1 2 -0x1p536870910 2 0x1p536870910 2 -0x1p536870910 2 -0x1p536870910 N N mpc-1.3.1/tests/tsin.c0000644000175100017460000000231113227377425011516 00000000000000/* tsin -- test file for mpc_sin. Copyright (C) 2007, 2008, 2010, 2013 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-tests.h" #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_sin (P[1].mpc, P[2].mpc, P[3].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_sin (P[1].mpc, P[1].mpc, P[3].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" int main (void) { test_start (); data_check_template ("sin.dsc", "sin.dat"); tgeneric_template ("sin.dsc", 2, 512, 7, 7); test_end (); return 0; } mpc-1.3.1/tests/tmul.c0000644000175100017460000001732214345571363011531 00000000000000/* tmul -- test file for mpc_mul. Copyright (C) 2002, 2005, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #ifdef TIMING #include #endif #include "mpc-tests.h" static void cmpmul (mpc_srcptr x, mpc_srcptr y, mpc_rnd_t rnd) /* computes the product of x and y with the naive and Karatsuba methods */ /* using the rounding mode rnd and compares the results and return */ /* values. */ /* In our current test suite, the real and imaginary parts of x and y */ /* all have the same precision, and we use this precision also for the */ /* result. */ { mpc_t z, t; int inex_z, inex_t; mpc_init2 (z, MPC_MAX_PREC (x)); mpc_init2 (t, MPC_MAX_PREC (x)); inex_z = mpc_mul_naive (z, x, y, rnd); inex_t = mpc_mul_karatsuba (t, x, y, rnd); if (mpc_cmp (z, t) != 0 || inex_z != inex_t) { fprintf (stderr, "mul_naive and mul_karatsuba differ for rnd=(%s,%s)\n", mpfr_print_rnd_mode(MPC_RND_RE(rnd)), mpfr_print_rnd_mode(MPC_RND_IM(rnd))); MPC_OUT (x); MPC_OUT (y); MPC_OUT (z); MPC_OUT (t); if (inex_z != inex_t) { fprintf (stderr, "inex_re (z): %s\n", MPC_INEX_STR (inex_z)); fprintf (stderr, "inex_re (t): %s\n", MPC_INEX_STR (inex_t)); } exit (1); } mpc_clear (z); mpc_clear (t); } static void testmul (long a, long b, long c, long d, mpfr_prec_t prec, mpc_rnd_t rnd) { mpc_t x, y; mpc_init2 (x, prec); mpc_init2 (y, prec); mpc_set_si_si (x, a, b, rnd); mpc_set_si_si (y, c, d, rnd); cmpmul (x, y, rnd); mpc_clear (x); mpc_clear (y); } static void check_regular (void) { mpc_t x, y; int rnd_re, rnd_im; mpfr_prec_t prec; testmul (247, -65, -223, 416, 8, 24); testmul (5, -896, 5, -32, 3, 2); testmul (-3, -512, -1, -1, 2, 16); testmul (266013312, 121990769, 110585572, 116491059, 27, 0); testmul (170, 9, 450, 251, 8, 0); testmul (768, 85, 169, 440, 8, 16); testmul (145, 1816, 848, 169, 8, 24); mpc_init2 (x, 1000); mpc_init2 (y, 1000); /* Bug 20081114: mpc_mul_karatsuba returned wrong inexact value for imaginary part */ mpc_set_prec (x, 7); mpc_set_prec (y, 7); mpfr_set_str (mpc_realref (x), "0xB4p+733", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref (x), "0x90p+244", 16, MPFR_RNDN); mpfr_set_str (mpc_realref (y), "0xECp-146", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref (y), "0xACp-471", 16, MPFR_RNDN); cmpmul (x, y, MPC_RNDNN); mpfr_set_str (mpc_realref (x), "0xB4p+733", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref (x), "0x90p+244", 16, MPFR_RNDN); mpfr_set_str (mpc_realref (y), "0xACp-471", 16, MPFR_RNDN); mpfr_set_str (mpc_imagref (y), "-0xECp-146", 16, MPFR_RNDN); cmpmul (x, y, MPC_RNDNN); for (prec = 2; prec < 1000; prec = (mpfr_prec_t) (prec * 1.1 + 1)) { mpc_set_prec (x, prec); mpc_set_prec (y, prec); test_default_random (x, -1024, 1024, 128, 0); test_default_random (y, -1024, 1024, 128, 0); for (rnd_re = 0; rnd_re < 4; rnd_re ++) for (rnd_im = 0; rnd_im < 4; rnd_im ++) cmpmul (x, y, MPC_RND (rnd_re, rnd_im)); } mpc_clear (x); mpc_clear (y); } static void bug20200206 (void) { mpfr_exp_t emin = mpfr_get_emin (); mpc_t x, y, z; mpfr_set_emin (-1073); mpc_init2 (x, 53); mpc_init2 (y, 53); mpc_init2 (z, 53); mpfr_set_d (mpc_realref (x), -6.0344722345057644e-272, MPFR_RNDN); mpfr_set_d (mpc_imagref (x), -4.8536770224196353e-204, MPFR_RNDN); mpfr_set_d (mpc_realref (y), 1.3834775731431992e-246, MPFR_RNDN); mpfr_set_d (mpc_imagref (y), 2.9246270396940562e-124, MPFR_RNDN); mpc_mul (z, x, y, MPC_RNDNN); if (mpfr_regular_p (mpc_realref (z)) && mpfr_get_exp (mpc_realref (z)) < -1073) { printf ("Error, mpc_mul returns an out-of-range exponent:\n"); mpfr_dump (mpc_realref (z)); printf ("Bug most probably in MPFR, please upgrade to MPFR 4.1.0 or later\n"); exit (1); } mpc_clear (x); mpc_clear (y); mpc_clear (z); mpfr_set_emin (emin); } #ifdef TIMING static void timemul (void) { /* measures the time needed with different precisions for naive and */ /* Karatsuba multiplication */ mpc_t x, y, z; unsigned long int i, j; const unsigned long int tests = 10000; struct tms time_old, time_new; double passed1, passed2; mpc_init (x); mpc_init (y); mpc_init_set_ui_ui (z, 1, 0, MPC_RNDNN); for (i = 1; i < 50; i++) { mpc_set_prec (x, i * BITS_PER_MP_LIMB); mpc_set_prec (y, i * BITS_PER_MP_LIMB); mpc_set_prec (z, i * BITS_PER_MP_LIMB); test_default_random (x, -1, 1, 128, 25); test_default_random (y, -1, 1, 128, 25); times (&time_old); for (j = 0; j < tests; j++) mpc_mul_naive (z, x, y, MPC_RNDNN); times (&time_new); passed1 = ((double) (time_new.tms_utime - time_old.tms_utime)) / 100; times (&time_old); for (j = 0; j < tests; j++) mpc_mul_karatsuba (z, x, y, MPC_RNDNN); times (&time_new); passed2 = ((double) (time_new.tms_utime - time_old.tms_utime)) / 100; printf ("Time for %3li limbs naive/Karatsuba: %5.2f %5.2f\n", i, passed1, passed2); } mpc_clear (x); mpc_clear (y); mpc_clear (z); } #endif #define MPC_FUNCTION_CALL \ P[0].mpc_inex = mpc_mul (P[1].mpc, P[2].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_SYMMETRIC \ P[0].mpc_inex = mpc_mul (P[1].mpc, P[3].mpc, P[2].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP1 \ P[0].mpc_inex = mpc_mul (P[1].mpc, P[1].mpc, P[3].mpc, P[4].mpc_rnd) #define MPC_FUNCTION_CALL_REUSE_OP2 \ P[0].mpc_inex = mpc_mul (P[1].mpc, P[2].mpc, P[1].mpc, P[4].mpc_rnd) #include "data_check.tpl" #include "tgeneric.tpl" static void bug20221130 (void) { mpc_t b, c_conj, res, ref; mpfr_prec_t prec; mpc_init2 (b, 20); mpc_init2 (c_conj, 20); mpc_init2 (res, 2); mpc_init2 (ref, 5); mpc_set_str (b, "(0x1p+0 0x2p+0)", 16, MPC_RNDNN); mpc_set_str (c_conj, "(-0xap+0 0x1.4p+4)", 16, MPC_RNDNN); mpc_set_str (ref, "(-0x3.2p+4 0x0p+0)", 16, MPC_RNDNN); for (prec = 5; prec <= 2000; prec++) { mpc_set_prec (res, prec); mpc_mul (res, b, c_conj, MPC_RNDZZ); if (mpc_cmp (res, ref) != 0 || mpfr_signbit (mpc_imagref (res))) { printf ("Error in bug20221130 for prec=%lu\n", prec); mpfr_printf ("expected (%Ra %Ra)\n", mpc_realref (ref), mpc_imagref (ref)); mpfr_printf ("got (%Ra %Ra)\n", mpc_realref (res), mpc_imagref (res)); exit (1); } } mpc_clear (b); mpc_clear (c_conj); mpc_clear (res); mpc_clear (ref); } int main (void) { test_start (); #ifdef TIMING timemul (); #endif bug20200206 (); bug20221130 (); check_regular (); data_check_template ("mul.dsc", "mul.dat"); tgeneric_template ("mul.dsc", 2, 4096, 41, 1024); test_end (); return 0; } mpc-1.3.1/tests/imag.dsc0000644000175100017460000000155313227377425012014 00000000000000# Description file for mpc_imag # # Copyright (C) 2013 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # Description file of the function NAME: mpc_imag RETURN: mpfr_inex OUTPUT: mpfr_ptr INPUT: mpc_srcptr mpfr_rnd_t mpc-1.3.1/src/0000755000175100017460000000000014346567725010114 500000000000000mpc-1.3.1/src/real.c0000644000175100017460000000155412426164730011112 00000000000000/* mpc_real -- Get the real part of a complex number. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_real (mpfr_ptr a, mpc_srcptr b, mpfr_rnd_t rnd) { return mpfr_set (a, mpc_realref (b), rnd); } mpc-1.3.1/src/arg.c0000644000175100017460000000157412426164730010742 00000000000000/* mpc_arg -- Get the argument of a complex number. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_arg (mpfr_ptr a, mpc_srcptr b, mpfr_rnd_t rnd) { return mpfr_atan2 (a, mpc_imagref (b), mpc_realref (b), rnd); } mpc-1.3.1/src/balls.c0000644000175100017460000003104314346567577011303 00000000000000/* balls -- Functions for complex ball arithmetic. Copyright (C) 2018, 2020, 2021, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for CHAR_BIT */ #include /* for FILE */ #include "mpc-impl.h" void mpcb_out_str (FILE *f, mpcb_srcptr op) { mpc_out_str (f, 10, 0, op->c, MPC_RNDNN); fprintf (f, " "); mpcr_out_str (f, op->r); fprintf (f, "\n"); } void mpcb_init (mpcb_ptr rop) { mpc_init2 (rop->c, 2); mpcr_set_inf (rop->r); } void mpcb_clear (mpcb_ptr rop) { mpc_clear (rop->c); } mpfr_prec_t mpcb_get_prec (mpcb_srcptr op) { return mpc_get_prec (op->c); } void mpcb_set_prec (mpcb_ptr rop, mpfr_prec_t prec) { mpc_set_prec (rop->c, prec); mpcr_set_inf (rop->r); } void mpcb_set (mpcb_ptr rop, mpcb_srcptr op) { if (rop != op) { mpc_set_prec (rop->c, mpc_get_prec (op->c)); mpc_set (rop->c, op->c, MPC_RNDNN); mpcr_set (rop->r, op->r); } } void mpcb_set_inf (mpcb_ptr rop) { mpc_set_prec (rop->c, 2); mpc_set_ui_ui (rop->c, 0, 0, MPC_RNDNN); mpcr_set_inf (rop->r); } void mpcb_set_c (mpcb_ptr rop, mpc_srcptr op, mpfr_prec_t prec, unsigned long int err_re, unsigned long int err_im) /* Set the precision of rop to prec and assign a ball with centre op to it. err_re and err_im contain potential errors in the real and imaginary parts of op as multiples of a half ulp. For instance, if the real part of op is exact, err_re should be set to 0; if it is the result of rounding to nearest, it should be set to 1; if it is the result of directed rounding, it should be set to 2. The radius of the ball reflects err_re and err_im and the potential additional rounding error that can occur when the precision of op is higher than prec. If the real part of op is 0, then err_re should be 0, since then ulp notation makes no sense, and similarly for the imaginary part; otherwise the radius is set to infinity. The implementation takes potential different precisions in the real and imaginary parts of op into account. */ { int inex; mpcr_t relerr_re, relerr_im; mpc_set_prec (rop->c, prec); inex = mpc_set (rop->c, op, MPC_RNDNN); if ( (mpfr_zero_p (mpc_realref (op)) && err_re > 0) || (mpfr_zero_p (mpc_imagref (op)) && err_im > 0) || !mpc_fin_p (op)) mpcr_set_inf (rop->r); else { mpcr_set_ui64_2si64 (relerr_re, (uint64_t) err_re, (int64_t) (-mpfr_get_prec (mpc_realref (op)))); /* prop:relerror of algorithms.tex */ if (MPC_INEX_RE (inex)) mpcr_add_rounding_error (relerr_re, prec, MPFR_RNDN); mpcr_set_ui64_2si64 (relerr_im, (uint64_t) err_im, (int64_t) (-mpfr_get_prec (mpc_imagref (op)))); if (MPC_INEX_IM (inex)) mpcr_add_rounding_error (relerr_im, prec, MPFR_RNDN); mpcr_max (rop->r, relerr_re, relerr_im); /* prop:comrelerror in algorithms.tex */ } } void mpcb_set_ui_ui (mpcb_ptr z, unsigned long int re, unsigned long int im, mpfr_prec_t prec) /* Set the precision of z to prec and assign a ball with centre re+I*im to it. If prec is too small to hold the centre coordinates without rounding, use the minimal possible precision instead. */ { prec = MPC_MAX (prec, (mpfr_prec_t) (CHAR_BIT * sizeof (unsigned long int))); mpc_set_prec (z->c, prec); mpc_set_ui_ui (z->c, re, im, MPC_RNDNN); mpcr_set_zero (z->r); } void mpcb_neg (mpcb_ptr z, mpcb_srcptr z1) { mpfr_prec_t p; int overlap = (z == z1); if (!overlap) { p = mpcb_get_prec (z1); if (mpcb_get_prec (z) != p) mpcb_set_prec (z, p); } mpc_neg (z->c, z1->c, MPC_RNDNN); /* exact */ mpcr_set (z->r, z1->r); } void mpcb_mul (mpcb_ptr z, mpcb_srcptr z1, mpcb_srcptr z2) { mpcr_t r; mpfr_prec_t p = MPC_MIN (mpcb_get_prec (z1), mpcb_get_prec (z2)); int overlap = (z == z1 || z == z2); mpc_t zc; if (overlap) mpc_init2 (zc, p); else { zc [0] = z->c [0]; mpc_set_prec (zc, p); } mpc_mul (zc, z1->c, z2->c, MPC_RNDNN); if (overlap) mpc_clear (z->c); z->c [0] = zc [0]; /* generic error of multiplication */ mpcr_mul (r, z1->r, z2->r); mpcr_add (r, r, z1->r); mpcr_add (r, r, z2->r); /* error of rounding to nearest */ mpcr_add_rounding_error (r, p, MPFR_RNDN); mpcr_set (z->r, r); } void mpcb_sqr (mpcb_ptr z, mpcb_srcptr z1) { mpcr_t r, r2; mpfr_prec_t p = mpcb_get_prec (z1); int overlap = (z == z1); /* Compute the error first in case there is overlap. */ mpcr_mul_2ui (r2, z1->r, 1); mpcr_sqr (r, z1->r); mpcr_add (r, r, r2); mpcr_add_rounding_error (r, p, MPFR_RNDN); if (!overlap) mpcb_set_prec (z, p); mpc_sqr (z->c, z1->c, MPC_RNDNN); mpcr_set (z->r, r); } void mpcb_pow_ui (mpcb_ptr z, mpcb_srcptr z1, unsigned long int e) { mpcb_t pow; if (e == 0) mpcb_set_ui_ui (z, 1, 0, mpcb_get_prec (z1)); else if (e == 1) mpcb_set (z, z1); else { /* Right to left powering is easier to implement, but requires an additional variable even when there is no overlap. */ mpcb_init (pow); mpcb_set (pow, z1); /* Avoid setting z to 1 and multiplying by it, instead set it to the smallest 2-power multiple of z1 that is occurring. */ while (e % 2 == 0) { mpcb_sqr (pow, pow); e /= 2; } mpcb_set (z, pow); e /= 2; while (e != 0) { mpcb_sqr (pow, pow); if (e % 2 == 1) mpcb_mul (z, z, pow); e /= 2; } mpcb_clear (pow); } } void mpcb_add (mpcb_ptr z, mpcb_srcptr z1, mpcb_srcptr z2) { mpcr_t r, s, denom; mpfr_prec_t p = MPC_MIN (mpcb_get_prec (z1), mpcb_get_prec (z2)); int overlap = (z == z1 || z == z2); mpc_t zc; if (overlap) mpc_init2 (zc, p); else { zc [0] = z->c [0]; mpc_set_prec (zc, p); } mpc_add (zc, z1->c, z2->c, MPC_RNDZZ); /* rounding towards 0 makes the generic error easier to compute, but incurs a tiny penalty for the rounding error */ /* generic error of addition: r <= (|z1|*r1 + |z2|*r2) / |z1+z2| <= (|z1|*r1 + |z2|*r2) / |z| since we rounded towards 0 */ mpcr_c_abs_rnd (denom, zc, MPFR_RNDD); mpcr_c_abs_rnd (r, z1->c, MPFR_RNDU); mpcr_mul (r, r, z1->r); mpcr_c_abs_rnd (s, z2->c, MPFR_RNDU); mpcr_mul (s, s, z2->r); mpcr_add (r, r, s); mpcr_div (r, r, denom); /* error of directed rounding */ mpcr_add_rounding_error (r, p, MPFR_RNDZ); if (overlap) mpc_clear (z->c); z->c [0] = zc [0]; mpcr_set (z->r, r); } void mpcb_sqrt (mpcb_ptr z, mpcb_srcptr z1) /* The function "glides over" the branch cut on the negative real axis: In fact it always returns a ball with centre the square root of the centre of z1, and a reasonable radius even when the input ball has a crosses the negative real axis. This is inconsistent in a sense: The output ball does not contain all the possible outputs of a call to mpc_sqrt on an element of the input ball. On the other hand, it does contain square roots of all elements of the input ball. This comes handy for the alternative implementation of mpc_agm using ball arithmetic, but would also cause a potential implementation of mpcb_agm to ignore the branch cut. */ { mpcr_t r; mpfr_prec_t p = mpcb_get_prec (z1); int overlap = (z == z1); /* Compute the error first in case there is overlap. */ /* generic error of square root for z1->r <= 0.5: 0.5*epsilon1 + (sqrt(2)-1) * epsilon1^2 <= 0.5 * epsilon1 * (1 + epsilon1), see eq:propsqrt in algorithms.tex, together with a Taylor expansion of 1/sqrt(1-epsilon1) */ if (!mpcr_lt_half_p (z1->r)) mpcr_set_inf (r); else { mpcr_set_one (r); mpcr_add (r, r, z1->r); mpcr_mul (r, r, z1->r); mpcr_div_2ui (r, r, 1); /* error of rounding to nearest */ mpcr_add_rounding_error (r, p, MPFR_RNDN); } if (!overlap) mpcb_set_prec (z, p); mpc_sqrt (z->c, z1->c, MPC_RNDNN); mpcr_set (z->r, r); } void mpcb_div (mpcb_ptr z, mpcb_srcptr z1, mpcb_srcptr z2) { mpcr_t r, s; mpfr_prec_t p = MPC_MIN (mpcb_get_prec (z1), mpcb_get_prec (z2)); int overlap = (z == z1 || z == z2); mpc_t zc; if (overlap) mpc_init2 (zc, p); else { zc [0] = z->c [0]; mpc_set_prec (zc, p); } mpc_div (zc, z1->c, z2->c, MPC_RNDNN); if (overlap) mpc_clear (z->c); z->c [0] = zc [0]; /* generic error of division */ mpcr_add (r, z1->r, z2->r); mpcr_set_one (s); mpcr_sub_rnd (s, s, z2->r, MPFR_RNDD); mpcr_div (r, r, s); /* error of rounding to nearest */ mpcr_add_rounding_error (r, p, MPFR_RNDN); mpcr_set (z->r, r); } void mpcb_div_2ui (mpcb_ptr z, mpcb_srcptr z1, unsigned long int e) { mpc_div_2ui (z->c, z1->c, e, MPC_RNDNN); mpcr_set (z->r, z1->r); } int mpcb_can_round (mpcb_srcptr op, mpfr_prec_t prec_re, mpfr_prec_t prec_im, mpc_rnd_t rnd) /* The function returns true if it can decide that rounding the centre of op to an mpc_t variable of precision prec_re for the real and prec_im for the imaginary part returns a correctly rounded result of the ball in direction rnd for which the rounding direction value can be determined. The second condition implies that if the centre can be represented at the target precisions and the radius is small, but non-zero, the function returns false although correct rounding would be possible, while the rounding direction value could be anything. If the return value is true, then using mpcb_round with the same rounding mode sets a correct result and returns a correct rounding direction value with the usual MPC semantic. */ { mpfr_srcptr re, im; mpfr_exp_t exp_re, exp_im, exp_err; if (mpcr_inf_p (op->r)) return 0; else if (mpcr_zero_p (op->r)) return 1; re = mpc_realref (op->c); im = mpc_imagref (op->c); /* If the real or the imaginary part of the centre is 0, directed rounding is impossible, and rounding to nearest is only possible if the absolute error is less than the smallest representable number; since rounding only once at precision p introduces an error of about 2^-p, this means that the precision needs to be about as big as the negative of the minimal exponent, which is astronomically large. In any case, even then we could not determine the rounding direction value. */ if (mpfr_zero_p (re) || mpfr_zero_p (im)) return 0; exp_re = mpfr_get_exp (re); exp_im = mpfr_get_exp (im); /* Absolute error of the real part, as given in the proof of prop:comrelerror of algorithms.tex: |x-x~| = |x~*theta_R - y~*theta_I| <= (|x~|+|y~|) * epsilon, where epsilon is the complex relative error <= 2 * max (|x~|, |y~|) * epsilon To call mpfr_can_round, we only need the exponent in base 2, which is then bounded above by 1 + max (exp_re, exp_im) + exponent (epsilon) */ exp_err = 1 + MPC_MAX (exp_re, exp_im) + mpcr_get_exp (op->r); /* To check whether the rounding direction value can be determined when rounding to nearest, use the trick described in the documentation of mpfr_can_round to check for directed rounding at precision larger by 1. */ return ( mpfr_can_round (re, exp_re - exp_err, MPFR_RNDN, MPFR_RNDZ, prec_re + (MPC_RND_RE (rnd) == MPFR_RNDN)) && mpfr_can_round (im, exp_im - exp_err, MPFR_RNDN, MPFR_RNDZ, prec_im + (MPC_RND_IM (rnd) == MPFR_RNDN))); } int mpcb_round (mpc_ptr rop, mpcb_srcptr op, mpc_rnd_t rnd) /* Set rop to the centre of op and return the corresponding rounding direction value. To make sure that this corresponds to the MPC semantics of returning a correctly rounded result and a correct rounding direction value, one needs to call mpcb_can_round first. */ { return mpc_set (rop, op->c, rnd); } mpc-1.3.1/src/add_si.c0000644000175100017460000000206612426164730011411 00000000000000/* mpc_add_si -- Add a complex number and a signed long int. Copyright (C) 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_add_si (mpc_ptr rop, mpc_srcptr op1, long int op2, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_add_si (mpc_realref (rop), mpc_realref (op1), op2, MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (rop), mpc_imagref (op1), MPC_RND_IM (rnd)); return MPC_INEX (inex_re, inex_im); } mpc-1.3.1/src/sin.c0000644000175100017460000000154612426164730010761 00000000000000/* mpc_sin -- sine of a complex number. Copyright (C) 2010, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_sin (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { return MPC_INEX1 (mpc_sin_cos (rop, NULL, op, rnd, 0)); } mpc-1.3.1/src/uceil_log2.c0000644000175100017460000000175012426164730012211 00000000000000/* mpc_ceil_log2 - returns ceil(log(d)/log(2)) Copyright (C) 2004, 2009, 2010 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* returns ceil(log(d)/log(2)) if d > 0 */ /* Don't use count_leading_zeros since it is in longlong.h */ mpfr_prec_t mpc_ceil_log2 (mpfr_prec_t d) { mpfr_prec_t exp; for (exp = 0; d > 1; d = (d + 1) / 2) exp++; return exp; } mpc-1.3.1/src/get_x.c0000644000175100017460000001214614345571363011302 00000000000000/* mpc_get_dc, mpc_get_ldc -- Transform mpc number into C complex number mpc_get_str -- Convert a complex number into a string. Copyright (C) 2009, 2010, 2011, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "config.h" #ifdef HAVE_COMPLEX_H #include #endif #include #include /* for sprintf, fprintf */ #include #include #include "mpc-impl.h" #ifdef HAVE_COMPLEX_H double _Complex mpc_get_dc (mpc_srcptr op, mpc_rnd_t rnd) { return I * mpfr_get_d (mpc_imagref (op), MPC_RND_IM (rnd)) + mpfr_get_d (mpc_realref (op), MPC_RND_RE (rnd)); } long double _Complex mpc_get_ldc (mpc_srcptr op, mpc_rnd_t rnd) { return I * mpfr_get_ld (mpc_imagref (op), MPC_RND_IM (rnd)) + mpfr_get_ld (mpc_realref (op), MPC_RND_RE (rnd)); } #endif /* Code for mpc_get_str. The output format is "(real imag)", the decimal point of the locale is used. */ /* mpfr_prec_t can be either int or long int */ #if (_MPFR_EXP_FORMAT == 2) #define MPC_EXP_FORMAT_SPEC "i" #elif (_MPFR_EXP_FORMAT == 3) #define MPC_EXP_FORMAT_SPEC "li" #else #error "value of _MPFR_EXP_FORMAT not supported" #endif static char * pretty_zero (mpfr_srcptr zero) { char *pretty; pretty = mpc_alloc_str (3); pretty[0] = mpfr_signbit (zero) ? '-' : '+'; pretty[1] = '0'; pretty[2] = '\0'; return pretty; } static char * prettify (const char *str, const mpfr_exp_t expo, int base, int special) { size_t sz; char *pretty; char *p; const char *s; mpfr_exp_t x; int sign; sz = strlen (str) + 1; /* + terminal '\0' */ if (special) { /* special number: nan or inf */ pretty = mpc_alloc_str (sz); strcpy (pretty, str); return pretty; } /* regular number */ sign = (str[0] == '-' || str[0] == '+'); x = expo - 1; /* expo is the exponent value with decimal point BEFORE the first digit, we want decimal point AFTER the first digit */ if (base == 16) x *= 4; /* the output exponent is a binary exponent */ ++sz; /* + decimal point */ if (x != 0) { /* augment sz with the size needed for an exponent written in base ten */ mpfr_exp_t xx; sz += 3; /* + exponent char + sign + 1 digit */ if (x < 0) { /* avoid overflow when changing sign (assuming that, for the mpfr_exp_t type, (max value) is greater than (- min value / 10)) */ if (x < -10) { xx = - (x / 10); sz++; } else xx = -x; } else xx = x; /* compute sz += floor(log(expo)/log(10)) without using libm functions */ while (xx > 9) { sz++; xx /= 10; } } pretty = mpc_alloc_str (sz); p = pretty; /* 1. optional sign plus first digit */ s = str; *p++ = *s++; if (sign) *p++ = *s++; /* 2. decimal point */ #ifdef HAVE_LOCALECONV *p++ = *localeconv ()->decimal_point; #else *p++ = '.'; #endif *p = '\0'; /* 3. other significant digits */ strcat (pretty, s); /* 4. exponent (in base ten) */ if (x == 0) return pretty; p = pretty + strlen (str) + 1; switch (base) { case 10: *p++ = 'e'; break; case 2: case 16: *p++ = 'p'; break; default: *p++ = '@'; } *p = '\0'; sprintf (p, "%+" MPC_EXP_FORMAT_SPEC, x); return pretty; } static char * get_pretty_str (const int base, const size_t n, mpfr_srcptr x, mpfr_rnd_t rnd) { mpfr_exp_t expo; char *ugly; char *pretty; if (mpfr_zero_p (x)) return pretty_zero (x); ugly = mpfr_get_str (NULL, &expo, base, n, x, rnd); MPC_ASSERT (ugly != NULL); pretty = prettify (ugly, expo, base, !mpfr_number_p (x)); mpfr_free_str (ugly); return pretty; } char * mpc_get_str (int base, size_t n, mpc_srcptr op, mpc_rnd_t rnd) { size_t needed_size; char *real_str; char *imag_str; char *complex_str = NULL; if (base < 2 || base > 36) return NULL; real_str = get_pretty_str (base, n, mpc_realref (op), MPC_RND_RE (rnd)); imag_str = get_pretty_str (base, n, mpc_imagref (op), MPC_RND_IM (rnd)); needed_size = strlen (real_str) + strlen (imag_str) + 4; complex_str = mpc_alloc_str (needed_size); MPC_ASSERT (complex_str != NULL); strcpy (complex_str, "("); strcat (complex_str, real_str); strcat (complex_str, " "); strcat (complex_str, imag_str); strcat (complex_str, ")"); mpc_free_str (real_str); mpc_free_str (imag_str); return complex_str; } mpc-1.3.1/src/Makefile.am0000644000175100017460000000351714346567577012103 00000000000000## src/Makefile.am -- Process this file with automake to produce Makefile.in ## ## Copyright (C) 2008, 2009, 2010, 2011, 2012, 2016, 2018, 2020, 2022 INRIA ## ## This file is part of GNU MPC. ## ## GNU MPC is free software; you can redistribute it and/or modify it under ## the terms of the GNU Lesser General Public License as published by the ## Free Software Foundation; either version 3 of the License, or (at your ## option) any later version. ## ## GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY ## WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS ## FOR A PARTICULAR PURPOSE. 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uninstall-am uninstall-libLTLIBRARIES .PRECIOUS: Makefile # Tell versions [3.59,3.63) of GNU make to not export all variables. # Otherwise a system limit (for SysV at least) may be exceeded. .NOEXPORT: mpc-1.3.1/src/mul_fr.c0000644000175100017460000000253113227377425011456 00000000000000/* mpc_mul_fr -- Multiply a complex number by a floating-point number. Copyright (C) 2002, 2008, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_fr (mpc_ptr a, mpc_srcptr b, mpfr_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; mpfr_t real; if (c == mpc_realref (a)) /* We have to use a temporary variable. */ mpfr_init2 (real, MPC_PREC_RE (a)); else real [0] = mpc_realref (a) [0]; inex_re = mpfr_mul (real, mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_mul (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); mpfr_set (mpc_realref (a), real, MPFR_RNDN); /* exact */ if (c == mpc_realref (a)) mpfr_clear (real); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/fr_div.c0000644000175100017460000000221613227377425011443 00000000000000/* mpc_fr_div -- Divide a floating-point number by a complex number. Copyright (C) 2008, 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_fr_div (mpc_ptr a, mpfr_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { mpc_t bc; int inexact; mpc_realref (bc)[0] = b [0]; mpfr_init (mpc_imagref (bc)); /* we consider the operand b to have imaginary part +0 */ mpfr_set_ui (mpc_imagref (bc), 0, MPFR_RNDN); inexact = mpc_div (a, bc, c, rnd); mpfr_clear (mpc_imagref (bc)); return inexact; } mpc-1.3.1/src/pow_d.c0000644000175100017460000000217412426164730011276 00000000000000/* mpc_pow_d -- Raise a complex number to a double-precision power. Copyright (C) 2009 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include /* for DBL_MANT_DIG */ #include "mpc-impl.h" int mpc_pow_d (mpc_ptr z, mpc_srcptr x, double y, mpc_rnd_t rnd) { mpc_t yy; int inex; MPC_ASSERT(FLT_RADIX == 2); mpc_init3 (yy, DBL_MANT_DIG, MPFR_PREC_MIN); mpc_set_d (yy, y, MPC_RNDNN); /* exact */ inex = mpc_pow (z, x, yy, rnd); mpc_clear (yy); return inex; } mpc-1.3.1/src/mpc-log.h0000644000175100017460000000301312426164730011522 00000000000000/* mpc-log.h -- Include file to enable function call logging; replaces mpc.h. Copyright (C) 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #define mpc_sqr mpc_log_sqr #define mpc_conj mpc_log_conj #define mpc_neg mpc_log_neg #define mpc_sqrt mpc_log_sqrt #define mpc_proj mpc_log_proj #define mpc_exp mpc_log_exp #define mpc_log mpc_log_log #define mpc_sin mpc_log_sin #define mpc_cos mpc_log_cos #define mpc_tan mpc_log_tan #define mpc_sinh mpc_log_sinh #define mpc_cosh mpc_log_cosh #define mpc_tanh mpc_log_tanh #define mpc_asin mpc_log_asin #define mpc_acos mpc_log_acos #define mpc_atan mpc_log_atan #define mpc_asinh mpc_log_asinh #define mpc_acosh mpc_log_acosh #define mpc_atanh mpc_log_atanh #define mpc_add mpc_log_add #define mpc_sub mpc_log_sub #define mpc_mul mpc_log_mul #define mpc_div mpc_log_div #define mpc_pow mpc_log_pow #define mpc_fma mpc_log_fma #define mpc_sin_cos mpc_log_sin_cos #include "mpc.h" mpc-1.3.1/src/asinh.c0000644000175100017460000000314112426164730011263 00000000000000/* mpc_asinh -- inverse hyperbolic sine of a complex number. Copyright (C) 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_asinh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* asinh(op) = -i*asin(i*op) */ int inex; mpc_t z, a; mpfr_t tmp; /* z = i*op */ mpc_realref (z)[0] = mpc_imagref (op)[0]; mpc_imagref (z)[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (mpc_realref (z)); /* Note reversal of precisions due to later multiplication by -i */ mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop)); inex = mpc_asin (a, z, MPC_RND (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd))); /* if a = asin(i*op) = x+i*y, and we want y-i*x */ /* change a to -i*a */ tmp[0] = mpc_realref (a)[0]; mpc_realref (a)[0] = mpc_imagref (a)[0]; mpc_imagref (a)[0] = tmp[0]; MPFR_CHANGE_SIGN (mpc_imagref (a)); mpc_set (rop, a, MPC_RNDNN); /* exact */ mpc_clear (a); return MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex)); } mpc-1.3.1/src/add_fr.c0000644000175100017460000000215412426164730011403 00000000000000/* mpc_add_fr -- Add a complex number and a floating-point number. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff both the real and imaginary parts are exact */ int mpc_add_fr (mpc_ptr a, mpc_srcptr b, mpfr_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_add (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/set_prec.c0000644000175100017460000000162514345571363012000 00000000000000/* mpc_set_prec -- reset the precision of a complex variable. Copyright (C) 2002, 2009, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" void mpc_set_prec (mpc_ptr x, mpfr_prec_t prec) { mpfr_set_prec (mpc_realref(x), prec); mpfr_set_prec (mpc_imagref(x), prec); } mpc-1.3.1/src/proj.c0000644000175100017460000000216212426164730011135 00000000000000/* mpc_proj -- projection of a complex number onto the Riemann sphere. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_proj (mpc_ptr a, mpc_srcptr b, mpc_rnd_t rnd) { if (mpc_inf_p (b)) { /* infinities project to +Inf +i* copysign(0.0, cimag(z)) */ mpfr_set_inf (mpc_realref (a), +1); mpfr_set_zero (mpc_imagref (a), (mpfr_signbit (mpc_imagref (b)) ? -1 : 1)); return MPC_INEX (0, 0); } else return mpc_set (a, b, rnd); } mpc-1.3.1/src/out_str.c0000644000175100017460000000243512426164730011665 00000000000000/* mpc_out_str -- Output a complex number on a given stream. Copyright (C) 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for FILE */ #include #include "mpc-impl.h" size_t mpc_out_str (FILE *stream, int base, size_t n, mpc_srcptr op, mpc_rnd_t rnd) { size_t size = 3; /* for '(', ' ' and ')' */ if (stream == NULL) stream = stdout; /* fprintf does not allow NULL as first argument */ fprintf (stream, "("); size += mpfr_out_str (stream, base, n, mpc_realref(op), MPC_RND_RE(rnd)); fprintf (stream, " "); size += mpfr_out_str (stream, base, n, mpc_imagref(op), MPC_RND_RE(rnd)); fprintf (stream, ")"); return size; } mpc-1.3.1/src/dot.c0000644000175100017460000000671313717736770010774 00000000000000/* mpc_dot -- Dot product of two arrays of complex numbers. Copyright (C) 2018, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" /* res <- x[0]*y[0] + ... + x[n-1]*y[n-1] */ int mpc_dot (mpc_ptr res, const mpc_ptr *x, const mpc_ptr *y, unsigned long n, mpc_rnd_t rnd) { int inex_re, inex_im; mpfr_ptr *t; mpfr_t *z; unsigned long i; mpfr_t re_res; z = (mpfr_t *) malloc (2 * n * sizeof (mpfr_t)); /* warning: when n=0, malloc() might return NULL (e.g., gcc119) */ MPC_ASSERT(n == 0 || z != NULL); t = (mpfr_ptr *) malloc (2 * n * sizeof(mpfr_ptr)); MPC_ASSERT(n == 0 || t != NULL); for (i = 0; i < 2 * n; i++) t[i] = z[i]; /* we first store in z[i] the value of Re(x[i])*Re(y[i]) and in z[n+i] that of -Im(x[i])*Im(y[i]) */ for (i = 0; i < n; i++) { mpfr_prec_t prec_x_re = mpfr_get_prec (mpc_realref (x[i])); mpfr_prec_t prec_x_im = mpfr_get_prec (mpc_imagref (x[i])); mpfr_prec_t prec_y_re = mpfr_get_prec (mpc_realref (y[i])); mpfr_prec_t prec_y_im = mpfr_get_prec (mpc_imagref (y[i])); mpfr_prec_t prec_y_max = MPC_MAX (prec_y_re, prec_y_im); /* we allocate z[i] with prec_x_re + prec_y_max bits so that the second loop below does not reallocate */ mpfr_init2 (z[i], prec_x_re + prec_y_max); mpfr_set_prec (z[i], prec_x_re + prec_y_re); mpfr_mul (z[i], mpc_realref (x[i]), mpc_realref (y[i]), MPFR_RNDZ); /* idem for z[n+i]: we allocate with prec_x_im + prec_y_max bits */ mpfr_init2 (z[n+i], prec_x_im + prec_y_max); mpfr_set_prec (z[n+i], prec_x_im + prec_y_im); mpfr_mul (z[n+i], mpc_imagref (x[i]), mpc_imagref (y[i]), MPFR_RNDZ); mpfr_neg (z[n+i], z[n+i], MPFR_RNDZ); } /* copy the real part in a temporary variable, since it might be in the input array */ mpfr_init2 (re_res, mpfr_get_prec (mpc_realref (res))); inex_re = mpfr_sum (re_res, t, 2 * n, MPC_RND_RE (rnd)); /* we then store in z[i] the value of Re(x[i])*Im(y[i]) and in z[n+i] that of Im(x[i])*Re(y[i]) */ for (i = 0; i < n; i++) { mpfr_prec_t prec_x_re = mpfr_get_prec (mpc_realref (x[i])); mpfr_prec_t prec_x_im = mpfr_get_prec (mpc_imagref (x[i])); mpfr_prec_t prec_y_re = mpfr_get_prec (mpc_realref (y[i])); mpfr_prec_t prec_y_im = mpfr_get_prec (mpc_imagref (y[i])); mpfr_set_prec (z[i], prec_x_re + prec_y_im); mpfr_mul (z[i], mpc_realref (x[i]), mpc_imagref (y[i]), MPFR_RNDZ); mpfr_set_prec (z[n+i], prec_x_im + prec_y_re); mpfr_mul (z[n+i], mpc_imagref (x[i]), mpc_realref (y[i]), MPFR_RNDZ); } inex_im = mpfr_sum (mpc_imagref (res), t, 2 * n, MPC_RND_IM (rnd)); mpfr_swap (mpc_realref (res), re_res); mpfr_clear (re_res); for (i = 0; i < 2 * n; i++) mpfr_clear (z[i]); free (t); free (z); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/get_prec.c0000644000175100017460000000166412426164730011761 00000000000000/* mpc_get_prec -- returns the common precision of real and imaginary part, or 0 if they differ Copyright (C) 2007, 2009, 2010 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" mpfr_prec_t mpc_get_prec (mpc_srcptr x) { mpfr_prec_t precre = MPC_PREC_RE (x); return (MPC_PREC_IM (x) == precre ? precre : 0); } mpc-1.3.1/src/sub_ui.c0000644000175100017460000000216212426164730011451 00000000000000/* mpc_sub_ui -- Add a complex number and an unsigned long int. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff both the real and imaginary parts are exact */ int mpc_sub_ui (mpc_ptr a, mpc_srcptr b, unsigned long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_sub_ui (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/rootofunity.c0000644000175100017460000001405013227377425012572 00000000000000/* mpc_rootofunity -- primitive root of unity. Copyright (C) 2012, 2016 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" static unsigned long gcd (unsigned long a, unsigned long b) { if (b == 0) return a; else return gcd (b, a % b); } /* put in rop the value of exp(2*i*pi*k/n) rounded according to rnd */ int mpc_rootofunity (mpc_ptr rop, unsigned long n, unsigned long k, mpc_rnd_t rnd) { unsigned long g; mpq_t kn; mpfr_t t, s, c; mpfr_prec_t prec; int inex_re, inex_im; mpfr_rnd_t rnd_re, rnd_im; if (n == 0) { /* Compute exp (0 + i*inf). */ mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); return MPC_INEX (0, 0); } /* Eliminate common denominator. */ k %= n; g = gcd (k, n); k /= g; n /= g; /* Now 0 <= k < n and gcd(k,n)=1. */ /* We assume that only n=1, 2, 3, 4, 6 and 12 may yield exact results and treat them separately; n=8 is also treated here for efficiency reasons. */ if (n == 1) { /* necessarily k=0 thus we want exp(0)=1 */ MPC_ASSERT (k == 0); return mpc_set_ui_ui (rop, 1, 0, rnd); } else if (n == 2) { /* since gcd(k,n)=1, necessarily k=1, thus we want exp(i*pi)=-1 */ MPC_ASSERT (k == 1); return mpc_set_si_si (rop, -1, 0, rnd); } else if (n == 4) { /* since gcd(k,n)=1, necessarily k=1 or k=3, thus we want exp(2*i*pi/4)=i or exp(2*i*pi*3/4)=-i */ MPC_ASSERT (k == 1 || k == 3); if (k == 1) return mpc_set_ui_ui (rop, 0, 1, rnd); else return mpc_set_si_si (rop, 0, -1, rnd); } else if (n == 3 || n == 6) { MPC_ASSERT ((n == 3 && (k == 1 || k == 2)) || (n == 6 && (k == 1 || k == 5))); /* for n=3, necessarily k=1 or k=2: -1/2+/-1/2*sqrt(3)*i; for n=6, necessarily k=1 or k=5: 1/2+/-1/2*sqrt(3)*i */ inex_re = mpfr_set_si (mpc_realref (rop), (n == 3 ? -1 : 1), MPC_RND_RE (rnd)); /* inverse the rounding mode for -sqrt(3)/2 for zeta_3^2 and zeta_6^5 */ rnd_im = MPC_RND_IM (rnd); if (k != 1) rnd_im = INV_RND (rnd_im); inex_im = mpfr_sqrt_ui (mpc_imagref (rop), 3, rnd_im); mpc_div_2ui (rop, rop, 1, MPC_RNDNN); if (k != 1) { mpfr_neg (mpc_imagref (rop), mpc_imagref (rop), MPFR_RNDN); inex_im = -inex_im; } return MPC_INEX (inex_re, inex_im); } else if (n == 12) { /* necessarily k=1, 5, 7, 11: k=1: 1/2*sqrt(3) + 1/2*I k=5: -1/2*sqrt(3) + 1/2*I k=7: -1/2*sqrt(3) - 1/2*I k=11: 1/2*sqrt(3) - 1/2*I */ MPC_ASSERT (k == 1 || k == 5 || k == 7 || k == 11); /* inverse the rounding mode for -sqrt(3)/2 for zeta_12^5 and zeta_12^7 */ rnd_re = MPC_RND_RE (rnd); if (k == 5 || k == 7) rnd_re = INV_RND (rnd_re); inex_re = mpfr_sqrt_ui (mpc_realref (rop), 3, rnd_re); inex_im = mpfr_set_si (mpc_imagref (rop), k < 6 ? 1 : -1, MPC_RND_IM (rnd)); mpc_div_2ui (rop, rop, 1, MPC_RNDNN); if (k == 5 || k == 7) { mpfr_neg (mpc_realref (rop), mpc_realref (rop), MPFR_RNDN); inex_re = -inex_re; } return MPC_INEX (inex_re, inex_im); } else if (n == 8) { /* k=1, 3, 5 or 7: k=1: (1/2*I + 1/2)*sqrt(2) k=3: (1/2*I - 1/2)*sqrt(2) k=5: -(1/2*I + 1/2)*sqrt(2) k=7: -(1/2*I - 1/2)*sqrt(2) */ MPC_ASSERT (k == 1 || k == 3 || k == 5 || k == 7); rnd_re = MPC_RND_RE (rnd); if (k == 3 || k == 5) rnd_re = INV_RND (rnd_re); rnd_im = MPC_RND_IM (rnd); if (k > 4) rnd_im = INV_RND (rnd_im); inex_re = mpfr_sqrt_ui (mpc_realref (rop), 2, rnd_re); inex_im = mpfr_sqrt_ui (mpc_imagref (rop), 2, rnd_im); mpc_div_2ui (rop, rop, 1, MPC_RNDNN); if (k == 3 || k == 5) { mpfr_neg (mpc_realref (rop), mpc_realref (rop), MPFR_RNDN); inex_re = -inex_re; } if (k > 4) { mpfr_neg (mpc_imagref (rop), mpc_imagref (rop), MPFR_RNDN); inex_im = -inex_im; } return MPC_INEX (inex_re, inex_im); } prec = MPC_MAX_PREC(rop); /* For the error analysis justifying the following algorithm, see algorithms.tex. */ mpfr_init2 (t, 67); mpfr_init2 (s, 67); mpfr_init2 (c, 67); mpq_init (kn); mpq_set_ui (kn, k, n); mpq_mul_2exp (kn, kn, 1); /* kn=2*k/n < 2 */ do { prec += mpc_ceil_log2 (prec) + 5; /* prec >= 6 */ mpfr_set_prec (t, prec); mpfr_set_prec (s, prec); mpfr_set_prec (c, prec); mpfr_const_pi (t, MPFR_RNDN); mpfr_mul_q (t, t, kn, MPFR_RNDN); mpfr_sin_cos (s, c, t, MPFR_RNDN); } while ( !mpfr_can_round (c, prec - (4 - mpfr_get_exp (c)), MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(rop) + (MPC_RND_RE(rnd) == MPFR_RNDN)) || !mpfr_can_round (s, prec - (4 - mpfr_get_exp (s)), MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(rop) + (MPC_RND_IM(rnd) == MPFR_RNDN))); inex_re = mpfr_set (mpc_realref(rop), c, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(rop), s, MPC_RND_IM(rnd)); mpfr_clear (t); mpfr_clear (s); mpfr_clear (c); mpq_clear (kn); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/ui_div.c0000644000175100017460000000205212426164730011440 00000000000000/* mpc_ui_div -- Divide an unsigned long int by a complex number. Copyright (C) 2002, 2009 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-impl.h" int mpc_ui_div (mpc_ptr a, unsigned long int b, mpc_srcptr c, mpc_rnd_t rnd) { int inex; mpc_t bb; mpc_init2 (bb, sizeof(unsigned long int) * CHAR_BIT); mpc_set_ui (bb, b, rnd); /* exact */ inex = mpc_div (a, bb, c, rnd); mpc_clear (bb); return inex; } mpc-1.3.1/src/div.c0000644000175100017460000004433014345571363010756 00000000000000/* mpc_div -- Divide two complex numbers. Copyright (C) 2002, 2003, 2004, 2005, 2008, 2009, 2010, 2011, 2012, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* this routine deals with the case where w is zero */ static int mpc_div_zero (mpc_ptr a, mpc_srcptr z, mpc_srcptr w, mpc_rnd_t rnd) /* Assumes w==0, implementation according to C99 G.5.1.8 */ { int sign = MPFR_SIGNBIT (mpc_realref (w)); mpfr_t infty; mpfr_init2 (infty, MPFR_PREC_MIN); mpfr_set_inf (infty, sign); mpfr_mul (mpc_realref (a), infty, mpc_realref (z), MPC_RND_RE (rnd)); mpfr_mul (mpc_imagref (a), infty, mpc_imagref (z), MPC_RND_IM (rnd)); mpfr_clear (infty); return MPC_INEX (0, 0); /* exact */ } /* this routine deals with the case where z is infinite and w finite */ static int mpc_div_inf_fin (mpc_ptr rop, mpc_srcptr z, mpc_srcptr w) /* Assumes w finite and non-zero and z infinite; implementation according to C99 G.5.1.8 */ { int a, b, x, y; a = (mpfr_inf_p (mpc_realref (z)) ? MPFR_SIGNBIT (mpc_realref (z)) : 0); b = (mpfr_inf_p (mpc_imagref (z)) ? MPFR_SIGNBIT (mpc_imagref (z)) : 0); /* a is -1 if Re(z) = -Inf, 1 if Re(z) = +Inf, 0 if Re(z) is finite b is -1 if Im(z) = -Inf, 1 if Im(z) = +Inf, 0 if Im(z) is finite */ /* x = MPC_MPFR_SIGN (a * mpc_realref (w) + b * mpc_imagref (w)) */ /* y = MPC_MPFR_SIGN (b * mpc_realref (w) - a * mpc_imagref (w)) */ if (a == 0 || b == 0) { /* only one of a or b can be zero, since z is infinite */ x = a * MPC_MPFR_SIGN (mpc_realref (w)) + b * MPC_MPFR_SIGN (mpc_imagref (w)); y = b * MPC_MPFR_SIGN (mpc_realref (w)) - a * MPC_MPFR_SIGN (mpc_imagref (w)); } else { /* Both parts of z are infinite; x could be determined by sign considerations and comparisons. Since operations with non-finite numbers are not considered time-critical, we let mpfr do the work. */ mpfr_t sign; mpfr_init2 (sign, 2); /* This is enough to determine the sign of sums and differences. */ if (a == 1) if (b == 1) { mpfr_add (sign, mpc_realref (w), mpc_imagref (w), MPFR_RNDN); x = MPC_MPFR_SIGN (sign); mpfr_sub (sign, mpc_realref (w), mpc_imagref (w), MPFR_RNDN); y = MPC_MPFR_SIGN (sign); } else { /* b == -1 */ mpfr_sub (sign, mpc_realref (w), mpc_imagref (w), MPFR_RNDN); x = MPC_MPFR_SIGN (sign); mpfr_add (sign, mpc_realref (w), mpc_imagref (w), MPFR_RNDN); y = -MPC_MPFR_SIGN (sign); } else /* a == -1 */ if (b == 1) { mpfr_sub (sign, mpc_imagref (w), mpc_realref (w), MPFR_RNDN); x = MPC_MPFR_SIGN (sign); mpfr_add (sign, mpc_realref (w), mpc_imagref (w), MPFR_RNDN); y = MPC_MPFR_SIGN (sign); } else { /* b == -1 */ mpfr_add (sign, mpc_realref (w), mpc_imagref (w), MPFR_RNDN); x = -MPC_MPFR_SIGN (sign); mpfr_sub (sign, mpc_imagref (w), mpc_realref (w), MPFR_RNDN); y = MPC_MPFR_SIGN (sign); } mpfr_clear (sign); } if (x == 0) mpfr_set_nan (mpc_realref (rop)); else mpfr_set_inf (mpc_realref (rop), x); if (y == 0) mpfr_set_nan (mpc_imagref (rop)); else mpfr_set_inf (mpc_imagref (rop), y); return MPC_INEX (0, 0); /* exact */ } /* this routine deals with the case where z if finite and w infinite */ static int mpc_div_fin_inf (mpc_ptr rop, mpc_srcptr z, mpc_srcptr w) /* Assumes z finite and w infinite; implementation according to C99 G.5.1.8 */ { mpfr_t c, d, a, b, x, y, zero; mpfr_init2 (c, 2); /* needed to hold a signed zero, +1 or -1 */ mpfr_init2 (d, 2); mpfr_init2 (x, 2); mpfr_init2 (y, 2); mpfr_init2 (zero, 2); mpfr_set_ui (zero, 0ul, MPFR_RNDN); mpfr_init2 (a, mpfr_get_prec (mpc_realref (z))); mpfr_init2 (b, mpfr_get_prec (mpc_imagref (z))); mpfr_set_ui (c, (mpfr_inf_p (mpc_realref (w)) ? 1 : 0), MPFR_RNDN); MPFR_COPYSIGN (c, c, mpc_realref (w), MPFR_RNDN); mpfr_set_ui (d, (mpfr_inf_p (mpc_imagref (w)) ? 1 : 0), MPFR_RNDN); MPFR_COPYSIGN (d, d, mpc_imagref (w), MPFR_RNDN); mpfr_mul (a, mpc_realref (z), c, MPFR_RNDN); /* exact */ mpfr_mul (b, mpc_imagref (z), d, MPFR_RNDN); mpfr_add (x, a, b, MPFR_RNDN); mpfr_mul (b, mpc_imagref (z), c, MPFR_RNDN); mpfr_mul (a, mpc_realref (z), d, MPFR_RNDN); mpfr_sub (y, b, a, MPFR_RNDN); MPFR_COPYSIGN (mpc_realref (rop), zero, x, MPFR_RNDN); MPFR_COPYSIGN (mpc_imagref (rop), zero, y, MPFR_RNDN); mpfr_clear (c); mpfr_clear (d); mpfr_clear (x); mpfr_clear (y); mpfr_clear (zero); mpfr_clear (a); mpfr_clear (b); return MPC_INEX (0, 0); /* exact */ } static int mpc_div_real (mpc_ptr rop, mpc_srcptr z, mpc_srcptr w, mpc_rnd_t rnd) /* Assumes z finite and w finite and non-zero, with imaginary part of w a signed zero. */ { int inex_re, inex_im; /* save signs of operands in case there are overlaps */ int zrs = MPFR_SIGNBIT (mpc_realref (z)); int zis = MPFR_SIGNBIT (mpc_imagref (z)); int wrs = MPFR_SIGNBIT (mpc_realref (w)); int wis = MPFR_SIGNBIT (mpc_imagref (w)); /* warning: rop may overlap with z,w so treat the imaginary part first */ inex_im = mpfr_div (mpc_imagref(rop), mpc_imagref(z), mpc_realref(w), MPC_RND_IM(rnd)); inex_re = mpfr_div (mpc_realref(rop), mpc_realref(z), mpc_realref(w), MPC_RND_RE(rnd)); /* correct signs of zeroes if necessary, which does not affect the inexact flags */ if (mpfr_zero_p (mpc_realref (rop))) mpfr_setsign (mpc_realref (rop), mpc_realref (rop), (zrs != wrs && zis != wis), MPFR_RNDN); /* exact */ if (mpfr_zero_p (mpc_imagref (rop))) mpfr_setsign (mpc_imagref (rop), mpc_imagref (rop), (zis != wrs && zrs == wis), MPFR_RNDN); return MPC_INEX(inex_re, inex_im); } static int mpc_div_imag (mpc_ptr rop, mpc_srcptr z, mpc_srcptr w, mpc_rnd_t rnd) /* Assumes z finite and w finite and non-zero, with real part of w a signed zero. */ { int inex_re, inex_im; int overlap = (rop == z) || (rop == w); int imag_z = mpfr_zero_p (mpc_realref (z)); mpfr_t wloc; mpc_t tmprop; mpc_ptr dest = (overlap) ? tmprop : rop; /* save signs of operands in case there are overlaps */ int zrs = MPFR_SIGNBIT (mpc_realref (z)); int zis = MPFR_SIGNBIT (mpc_imagref (z)); int wrs = MPFR_SIGNBIT (mpc_realref (w)); int wis = MPFR_SIGNBIT (mpc_imagref (w)); if (overlap) mpc_init3 (tmprop, MPC_PREC_RE (rop), MPC_PREC_IM (rop)); wloc[0] = mpc_imagref(w)[0]; /* copies mpfr struct IM(w) into wloc */ inex_re = mpfr_div (mpc_realref(dest), mpc_imagref(z), wloc, MPC_RND_RE(rnd)); mpfr_neg (wloc, wloc, MPFR_RNDN); /* changes the sign only in wloc, not in w; no need to correct later */ inex_im = mpfr_div (mpc_imagref(dest), mpc_realref(z), wloc, MPC_RND_IM(rnd)); if (overlap) { /* Note: we could use mpc_swap here, but this might cause problems if rop and tmprop have been allocated using different methods, since it will swap the significands of rop and tmprop. See https://sympa.inria.fr/sympa/arc/mpc-discuss/2009-08/msg00004.html */ mpc_set (rop, tmprop, MPC_RNDNN); /* exact */ mpc_clear (tmprop); } /* correct signs of zeroes if necessary, which does not affect the inexact flags */ if (mpfr_zero_p (mpc_realref (rop))) mpfr_setsign (mpc_realref (rop), mpc_realref (rop), (zrs != wrs && zis != wis), MPFR_RNDN); /* exact */ if (imag_z) mpfr_setsign (mpc_imagref (rop), mpc_imagref (rop), (zis != wrs && zrs == wis), MPFR_RNDN); return MPC_INEX(inex_re, inex_im); } #define MPFR_EXP(x) ((x)->_mpfr_exp) int mpc_div (mpc_ptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { int ok_re = 0, ok_im = 0; mpc_t res, c_conj; mpfr_t q; mpfr_prec_t prec; int inex, inexact_prod, inexact_norm, inexact_re, inexact_im, loops = 0; int underflow_norm, overflow_norm, underflow_prod, overflow_prod; int underflow_re = 0, overflow_re = 0, underflow_im = 0, overflow_im = 0; mpfr_rnd_t rnd_re = MPC_RND_RE (rnd), rnd_im = MPC_RND_IM (rnd); int saved_underflow, saved_overflow; int tmpsgn; mpfr_exp_t saved_emin, saved_emax; /* According to the C standard G.3, there are three types of numbers: */ /* finite (both parts are usual real numbers; contains 0), infinite */ /* (at least one part is a real infinity) and all others; the latter */ /* are numbers containing a nan, but no infinity, and could reasonably */ /* be called nan. */ /* By G.5.1.4, infinite/finite=infinite; finite/infinite=0; */ /* all other divisions that are not finite/finite return nan+i*nan. */ /* Division by 0 could be handled by the following case of division by */ /* a real; we handle it separately instead. */ if (mpc_zero_p (c)) /* both Re(c) and Im(c) are zero */ return mpc_div_zero (a, b, c, rnd); else if (mpc_inf_p (b) && mpc_fin_p (c)) /* either Re(b) or Im(b) is infinite and both Re(c) and Im(c) are ordinary */ return mpc_div_inf_fin (a, b, c); else if (mpc_fin_p (b) && mpc_inf_p (c)) return mpc_div_fin_inf (a, b, c); else if (!mpc_fin_p (b) || !mpc_fin_p (c)) { mpc_set_nan (a); return MPC_INEX (0, 0); } else if (mpfr_zero_p(mpc_imagref(c))) return mpc_div_real (a, b, c, rnd); else if (mpfr_zero_p(mpc_realref(c))) return mpc_div_imag (a, b, c, rnd); prec = MPC_MAX_PREC(a); mpc_init2 (res, 2); mpfr_init (q); /* we perform the division in the largest possible exponent range, to avoid underflow/overflow in intermediate computations */ saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); /* create the conjugate of c in c_conj without allocating new memory */ mpc_realref (c_conj)[0] = mpc_realref (c)[0]; mpc_imagref (c_conj)[0] = mpc_imagref (c)[0]; MPFR_CHANGE_SIGN (mpc_imagref (c_conj)); /* save the underflow or overflow flags from MPFR */ saved_underflow = mpfr_underflow_p (); saved_overflow = mpfr_overflow_p (); do { loops ++; prec += loops <= 2 ? mpc_ceil_log2 (prec) + 5 : prec / 2; mpc_set_prec (res, prec); mpfr_set_prec (q, prec); /* first compute norm(c) */ mpfr_clear_underflow (); mpfr_clear_overflow (); inexact_norm = mpc_norm (q, c, MPFR_RNDU); underflow_norm = mpfr_underflow_p (); overflow_norm = mpfr_overflow_p (); if (underflow_norm) mpfr_set_ui (q, 0ul, MPFR_RNDN); /* to obtain divisions by 0 later on */ /* now compute b*conjugate(c) */ mpfr_clear_underflow (); mpfr_clear_overflow (); inexact_prod = mpc_mul (res, b, c_conj, MPC_RNDZZ); inexact_re = MPC_INEX_RE (inexact_prod); inexact_im = MPC_INEX_IM (inexact_prod); underflow_prod = mpfr_underflow_p (); overflow_prod = mpfr_overflow_p (); /* unfortunately, does not distinguish between under-/overflow in real or imaginary parts hopefully, the side-effects of mpc_mul do indeed raise the mpfr exceptions */ if (overflow_prod) { /* FIXME: in case overflow_norm is also true, the code below is wrong, since the after division by the norm, we might end up with finite real and/or imaginary parts. A workaround would be to scale the inputs (in case the exponents are within the same range). */ int isinf = 0; /* determine if the real part of res is the maximum or the minimum representable number */ tmpsgn = mpfr_sgn (mpc_realref(res)); if (tmpsgn > 0) { mpfr_nextabove (mpc_realref(res)); isinf = mpfr_inf_p (mpc_realref(res)); mpfr_nextbelow (mpc_realref(res)); } else if (tmpsgn < 0) { mpfr_nextbelow (mpc_realref(res)); isinf = mpfr_inf_p (mpc_realref(res)); mpfr_nextabove (mpc_realref(res)); } if (isinf) { mpfr_set_inf (mpc_realref(res), tmpsgn); overflow_re = 1; } /* same for the imaginary part */ tmpsgn = mpfr_sgn (mpc_imagref(res)); isinf = 0; if (tmpsgn > 0) { mpfr_nextabove (mpc_imagref(res)); isinf = mpfr_inf_p (mpc_imagref(res)); mpfr_nextbelow (mpc_imagref(res)); } else if (tmpsgn < 0) { mpfr_nextbelow (mpc_imagref(res)); isinf = mpfr_inf_p (mpc_imagref(res)); mpfr_nextabove (mpc_imagref(res)); } if (isinf) { mpfr_set_inf (mpc_imagref(res), tmpsgn); overflow_im = 1; } mpc_set (a, res, rnd); goto end; } /* divide the product by the norm */ if (inexact_norm == 0 && (inexact_re == 0 || inexact_im == 0)) { /* The division has good chances to be exact in at least one part. */ /* Since this can cause problems when not rounding to the nearest, */ /* we use the division code of mpfr, which handles the situation. */ mpfr_clear_underflow (); mpfr_clear_overflow (); inexact_re |= mpfr_div (mpc_realref (res), mpc_realref (res), q, MPFR_RNDZ); underflow_re = mpfr_underflow_p (); overflow_re = mpfr_overflow_p (); ok_re = !inexact_re || underflow_re || overflow_re || mpfr_can_round (mpc_realref (res), prec - 4, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(a) + (rnd_re == MPFR_RNDN)); if (ok_re) /* compute imaginary part */ { mpfr_clear_underflow (); mpfr_clear_overflow (); inexact_im |= mpfr_div (mpc_imagref (res), mpc_imagref (res), q, MPFR_RNDZ); underflow_im = mpfr_underflow_p (); overflow_im = mpfr_overflow_p (); ok_im = !inexact_im || underflow_im || overflow_im || mpfr_can_round (mpc_imagref (res), prec - 4, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(a) + (rnd_im == MPFR_RNDN)); } } else { /* The division is inexact, so for efficiency reasons we invert q */ /* only once and multiply by the inverse. */ if (mpfr_ui_div (q, 1ul, q, MPFR_RNDZ) || inexact_norm) { /* if 1/q is inexact, the approximations of the real and imaginary part below will be inexact, unless RE(res) or IM(res) is zero */ inexact_re |= !mpfr_zero_p (mpc_realref (res)); inexact_im |= !mpfr_zero_p (mpc_imagref (res)); } mpfr_clear_underflow (); mpfr_clear_overflow (); inexact_re |= mpfr_mul (mpc_realref (res), mpc_realref (res), q, MPFR_RNDZ); underflow_re = mpfr_underflow_p (); overflow_re = mpfr_overflow_p (); ok_re = !inexact_re || underflow_re || overflow_re || mpfr_can_round (mpc_realref (res), prec - 4, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(a) + (rnd_re == MPFR_RNDN)); if (ok_re) /* compute imaginary part */ { mpfr_clear_underflow (); mpfr_clear_overflow (); inexact_im |= mpfr_mul (mpc_imagref (res), mpc_imagref (res), q, MPFR_RNDZ); underflow_im = mpfr_underflow_p (); overflow_im = mpfr_overflow_p (); ok_im = !inexact_im || underflow_im || overflow_im || mpfr_can_round (mpc_imagref (res), prec - 4, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(a) + (rnd_im == MPFR_RNDN)); } } } while ((!ok_re || !ok_im) && !underflow_norm && !overflow_norm && !underflow_prod && !overflow_prod); inex = mpc_set (a, res, rnd); inexact_re = MPC_INEX_RE (inex); inexact_im = MPC_INEX_IM (inex); end: /* fix values and inexact flags in case of overflow/underflow */ /* FIXME: heuristic, certainly does not cover all cases */ if (overflow_re || (underflow_norm && !underflow_prod)) { mpfr_set_inf (mpc_realref (a), mpfr_sgn (mpc_realref (res))); inexact_re = mpfr_sgn (mpc_realref (res)); } else if (underflow_re || (overflow_norm && !overflow_prod)) { inexact_re = mpfr_signbit (mpc_realref (res)) ? 1 : -1; mpfr_set_zero (mpc_realref (a), -inexact_re); } if (overflow_im || (underflow_norm && !underflow_prod)) { mpfr_set_inf (mpc_imagref (a), mpfr_sgn (mpc_imagref (res))); inexact_im = mpfr_sgn (mpc_imagref (res)); } else if (underflow_im || (overflow_norm && !overflow_prod)) { inexact_im = mpfr_signbit (mpc_imagref (res)) ? 1 : -1; mpfr_set_zero (mpc_imagref (a), -inexact_im); } mpc_clear (res); mpfr_clear (q); /* restore underflow and overflow flags from MPFR */ if (saved_underflow) mpfr_set_underflow (); if (saved_overflow) mpfr_set_overflow (); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inexact_re = mpfr_check_range (mpc_realref (a), inexact_re, rnd_re); inexact_im = mpfr_check_range (mpc_imagref (a), inexact_im, rnd_im); return MPC_INEX (inexact_re, inexact_im); } mpc-1.3.1/src/tan.c0000644000175100017460000003277314345571363010766 00000000000000/* mpc_tan -- tangent of a complex number. Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013, 2015, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include #include "mpc-impl.h" /* special case where the imaginary part of tan(op) rounds to -1 or 1: return 1 if |Im(tan(op))| > 1, and -1 if |Im(tan(op))| < 1, return 0 if we can't decide. The imaginary part is sinh(2*y)/(cos(2*x) + cosh(2*y)) where op = (x,y). */ static int tan_im_cmp_one (mpc_srcptr op) { mpfr_t x, c; int ret = 0; mpfr_exp_t expc; mpfr_init2 (x, mpfr_get_prec (mpc_realref (op))); mpfr_mul_2exp (x, mpc_realref (op), 1, MPFR_RNDN); mpfr_init2 (c, 32); mpfr_cos (c, x, MPFR_RNDN); /* if cos(2x) >= 0, then |sinh(2y)/(cos(2x)+cosh(2y))| < 1 */ if (mpfr_sgn (c) >= 0) ret = -1; /* |Im(tan(op))| < 1 */ else { /* now cos(2x) < 0: |cosh(2y) - sinh(2y)| = exp(-2|y|) */ expc = mpfr_get_exp (c); mpfr_abs (c, mpc_imagref (op), MPFR_RNDN); mpfr_mul_si (c, c, -2, MPFR_RNDN); mpfr_exp (c, c, MPFR_RNDN); if (mpfr_zero_p (c) || mpfr_get_exp (c) < expc) ret = 1; /* |Im(tan(op))| > 1 */ } mpfr_clear (c); mpfr_clear (x); return ret; } /* special case where the real part of tan(op) underflows to 0: return 1 if 0 < Re(tan(op)) < 2^(emin-2), -1 if -2^(emin-2) < Re(tan(op))| < 0, and 0 if we can't decide. The real part is sin(2*x)/(cos(2*x) + cosh(2*y)) where op = (x,y), thus has the sign of sin(2*x). */ static int tan_re_cmp_zero (mpc_srcptr op, mpfr_exp_t emin) { mpfr_t x, s, c; int ret = 0; mpfr_init2 (x, mpfr_get_prec (mpc_realref (op))); mpfr_mul_2exp (x, mpc_realref (op), 1, MPFR_RNDN); mpfr_init2 (s, 32); mpfr_init2 (c, 32); mpfr_sin (s, x, MPFR_RNDA); mpfr_mul_2exp (x, mpc_imagref (op), 1, MPFR_RNDN); mpfr_cosh (c, x, MPFR_RNDZ); mpfr_sub_ui (c, c, 1, MPFR_RNDZ); mpfr_div (s, s, c, MPFR_RNDA); if (mpfr_zero_p (s) || mpfr_get_exp (s) <= emin - 2) ret = mpfr_sgn (s); mpfr_clear (s); mpfr_clear (c); mpfr_clear (x); return ret; } int mpc_tan (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { mpc_t x, y; mpfr_prec_t prec; mpfr_exp_t err; int ok; int inex, inex_re, inex_im; mpfr_exp_t saved_emin, saved_emax; /* special values */ if (!mpc_fin_p (op)) { if (mpfr_nan_p (mpc_realref (op))) { if (mpfr_inf_p (mpc_imagref (op))) /* tan(NaN -i*Inf) = +/-0 -i */ /* tan(NaN +i*Inf) = +/-0 +i */ { /* exact unless 1 is not in exponent range */ inex = mpc_set_si_si (rop, 0, (MPFR_SIGN (mpc_imagref (op)) < 0) ? -1 : +1, rnd); } else /* tan(NaN +i*y) = NaN +i*NaN, when y is finite */ /* tan(NaN +i*NaN) = NaN +i*NaN */ { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); inex = MPC_INEX (0, 0); /* always exact */ } } else if (mpfr_nan_p (mpc_imagref (op))) { if (mpfr_cmp_ui (mpc_realref (op), 0) == 0) /* tan(-0 +i*NaN) = -0 +i*NaN */ /* tan(+0 +i*NaN) = +0 +i*NaN */ { mpc_set (rop, op, rnd); inex = MPC_INEX (0, 0); /* always exact */ } else /* tan(x +i*NaN) = NaN +i*NaN, when x != 0 */ { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); inex = MPC_INEX (0, 0); /* always exact */ } } else if (mpfr_inf_p (mpc_realref (op))) { if (mpfr_inf_p (mpc_imagref (op))) /* tan(-Inf -i*Inf) = -/+0 -i */ /* tan(-Inf +i*Inf) = -/+0 +i */ /* tan(+Inf -i*Inf) = +/-0 -i */ /* tan(+Inf +i*Inf) = +/-0 +i */ { const int sign_re = mpfr_signbit (mpc_realref (op)); mpfr_set_ui (mpc_realref (rop), 0, MPC_RND_RE (rnd)); mpfr_setsign (mpc_realref (rop), mpc_realref (rop), sign_re, MPFR_RNDN); /* exact, unless 1 is not in exponent range */ inex_im = mpfr_set_si (mpc_imagref (rop), mpfr_signbit (mpc_imagref (op)) ? -1 : +1, MPC_RND_IM (rnd)); inex = MPC_INEX (0, inex_im); } else /* tan(-Inf +i*y) = tan(+Inf +i*y) = NaN +i*NaN, when y is finite */ { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); inex = MPC_INEX (0, 0); /* always exact */ } } else /* tan(x -i*Inf) = +0*sin(x)*cos(x) -i, when x is finite */ /* tan(x +i*Inf) = +0*sin(x)*cos(x) +i, when x is finite */ { mpfr_t c; mpfr_t s; mpfr_init (c); mpfr_init (s); mpfr_sin_cos (s, c, mpc_realref (op), MPFR_RNDN); mpfr_set_ui (mpc_realref (rop), 0, MPC_RND_RE (rnd)); mpfr_setsign (mpc_realref (rop), mpc_realref (rop), mpfr_signbit (c) != mpfr_signbit (s), MPFR_RNDN); /* exact, unless 1 is not in exponent range */ inex_im = mpfr_set_si (mpc_imagref (rop), (mpfr_signbit (mpc_imagref (op)) ? -1 : +1), MPC_RND_IM (rnd)); inex = MPC_INEX (0, inex_im); mpfr_clear (s); mpfr_clear (c); } return inex; } if (mpfr_zero_p (mpc_realref (op))) /* tan(-0 -i*y) = -0 +i*tanh(y), when y is finite. */ /* tan(+0 +i*y) = +0 +i*tanh(y), when y is finite. */ { mpfr_set (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); inex_im = mpfr_tanh (mpc_imagref (rop), mpc_imagref (op), MPC_RND_IM (rnd)); return MPC_INEX (0, inex_im); } if (mpfr_zero_p (mpc_imagref (op))) /* tan(x -i*0) = tan(x) -i*0, when x is finite. */ /* tan(x +i*0) = tan(x) +i*0, when x is finite. */ { inex_re = mpfr_tan (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); mpfr_set (mpc_imagref (rop), mpc_imagref (op), MPC_RND_IM (rnd)); return MPC_INEX (inex_re, 0); } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); /* ordinary (non-zero) numbers */ /* tan(op) = sin(op) / cos(op). We use the following algorithm with rounding away from 0 for all operations, and working precision w: (1) x = A(sin(op)) (2) y = A(cos(op)) (3) z = A(x/y) the error on Im(z) is at most 81 ulp, the error on Re(z) is at most 7 ulp if k < 2, 8 ulp if k = 2, else 5+k ulp, where k = Exp(Re(x))+Exp(Re(y))-2min{Exp(Re(y)), Exp(Im(y))}-Exp(Re(x/y)) see proof in algorithms.tex. */ prec = MPC_MAX_PREC(rop); mpc_init2 (x, 2); mpc_init2 (y, 2); err = 7; do { mpfr_exp_t k, exr, eyr, eyi, ezr; ok = 0; /* FIXME: prevent addition overflow */ prec += mpc_ceil_log2 (prec) + err; mpc_set_prec (x, prec); mpc_set_prec (y, prec); mpc_sin_cos (x, y, op, MPC_RNDAA, MPC_RNDAA); if ( mpfr_inf_p (mpc_realref (x)) || mpfr_inf_p (mpc_imagref (x)) || mpfr_inf_p (mpc_realref (y)) || mpfr_inf_p (mpc_imagref (y))) { /* If the real or imaginary part of x is infinite, it means that Im(op) was large, in which case the result is sign(tan(Re(op)))*0 + sign(Im(op))*I, where sign(tan(Re(op))) = sign(Re(x))*sign(Re(y)). */ mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); if (mpfr_sgn (mpc_realref (x)) * mpfr_sgn (mpc_realref (y)) < 0) { mpfr_neg (mpc_realref (rop), mpc_realref (rop), MPFR_RNDN); inex_re = 1; } else inex_re = -1; /* +0 is rounded down */ if (mpfr_sgn (mpc_imagref (op)) > 0) { mpfr_set_ui (mpc_imagref (rop), 1, MPFR_RNDN); inex_im = 1; } else { mpfr_set_si (mpc_imagref (rop), -1, MPFR_RNDN); inex_im = -1; } /* if rounding is toward zero, fix the imaginary part */ if (MPC_IS_LIKE_RNDZ(MPC_RND_IM(rnd), MPFR_SIGNBIT(mpc_imagref (rop)))) { mpfr_nexttoward (mpc_imagref (rop), mpc_realref (rop)); inex_im = -inex_im; } if (mpfr_zero_p (mpc_realref (rop))) inex_re = mpc_fix_zero (mpc_realref (rop), MPC_RND_RE(rnd)); if (mpfr_zero_p (mpc_imagref (rop))) inex_im = mpc_fix_zero (mpc_imagref (rop), MPC_RND_IM(rnd)); inex = MPC_INEX(inex_re, inex_im); goto end; } exr = mpfr_get_exp (mpc_realref (x)); eyr = mpfr_get_exp (mpc_realref (y)); eyi = mpfr_get_exp (mpc_imagref (y)); /* some parts of the quotient may be exact */ inex = mpc_div (x, x, y, MPC_RNDZZ); /* OP is no pure real nor pure imaginary, so in theory the real and imaginary parts of its tangent cannot be null. However due to rounding errors this might happen. Consider for example tan(1+14*I) = 1.26e-10 + 1.00*I. For small precision sin(op) and cos(op) differ only by a factor I, thus after mpc_div x = I and its real part is zero. */ if (mpfr_zero_p (mpc_realref (x))) { /* since we use an extended exponent range, if real(x) is zero, this means the real part underflows, and we assume we can round */ ok = tan_re_cmp_zero (op, saved_emin); if (ok > 0) MPFR_ADD_ONE_ULP (mpc_realref (x)); else MPFR_SUB_ONE_ULP (mpc_realref (x)); } else { if (MPC_INEX_RE (inex)) MPFR_ADD_ONE_ULP (mpc_realref (x)); MPC_ASSERT (mpfr_zero_p (mpc_realref (x)) == 0); ezr = mpfr_get_exp (mpc_realref (x)); /* FIXME: compute k = Exp(Re(x))+Exp(Re(y))-2min{Exp(Re(y)), Exp(Im(y))}-Exp(Re(x/y)) avoiding overflow */ k = exr - ezr + MPC_MAX(-eyr, eyr - 2 * eyi); err = k < 2 ? 7 : (k == 2 ? 8 : (5 + k)); /* Can the real part be rounded? */ ok = (!mpfr_number_p (mpc_realref (x))) || mpfr_can_round (mpc_realref(x), prec - err, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(rop) + (MPC_RND_RE(rnd) == MPFR_RNDN)); } if (ok) { if (MPC_INEX_IM (inex)) MPFR_ADD_ONE_ULP (mpc_imagref (x)); /* Can the imaginary part be rounded? */ ok = (!mpfr_number_p (mpc_imagref (x))) || mpfr_can_round (mpc_imagref(x), prec - 6, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(rop) + (MPC_RND_IM(rnd) == MPFR_RNDN)); /* Special case when Im(x) = +/- 1: tan z = [sin(2x)+i*sinh(2y)] / [cos(2x) + cosh(2y)] (formula 4.3.57 of Abramowitz and Stegun) thus for y large in absolute value the imaginary part is near -1 or +1. More precisely cos(2x) + cosh(2y) = cosh(2y) + t with |t| <= 1, thus since cosh(2y) >= exp|2y|/2, then the imaginary part is: tanh(2y) * 1/(1+u) where u = |cos(2x)/cosh(2y)| <= 2/exp|2y| thus |im(z) - tanh(2y)| <= 2/exp|2y| * tanh(2y). Since |tanh(2y)| = (1-exp(-4|y|))/(1+exp(-4|y|)), we have 1-|tanh(2y)| < 2*exp(-4|y|). Thus |im(z)-1| < 2/exp|2y| + 2/exp|4y| < 4/exp|2y| < 4/2^|2y|. If 2^EXP(y) >= p+2, then im(z) rounds to -1 or 1. */ if (ok == 0 && (mpfr_cmp_ui (mpc_imagref(x), 1) == 0 || mpfr_cmp_si (mpc_imagref(x), -1) == 0) && mpfr_get_exp (mpc_imagref(op)) >= 0 && ((size_t) mpfr_get_exp (mpc_imagref(op)) >= 8 * sizeof (mpfr_prec_t) || ((mpfr_prec_t) 1) << mpfr_get_exp (mpc_imagref(op)) >= mpfr_get_prec (mpc_imagref (rop)) + 2)) { /* subtract one ulp, so that we get the correct inexact flag */ ok = tan_im_cmp_one (op); if (ok < 0) MPFR_SUB_ONE_ULP (mpc_imagref(x)); else if (ok > 0) MPFR_ADD_ONE_ULP (mpc_imagref(x)); } } if (ok == 0) prec += prec / 2; } while (ok == 0); inex = mpc_set (rop, x, rnd); end: mpc_clear (x); mpc_clear (y); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (rop), MPC_INEX_RE(inex), MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (rop), MPC_INEX_IM(inex), MPC_RND_IM (rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/fr_sub.c0000644000175100017460000000217712426164730011451 00000000000000/* mpc_fr_sub -- Substract a complex number from a floating-point number. Copyright (C) 2008, 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff both the real and imaginary parts are exact */ int mpc_fr_sub (mpc_ptr a, mpfr_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_sub (mpc_realref (a), b, mpc_realref (c), MPC_RND_RE (rnd)); inex_im = mpfr_neg (mpc_imagref (a), mpc_imagref (c), MPC_RND_IM (rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/set_x_x.c0000644000175100017460000000401414345571363011640 00000000000000/* mpc_set_x_x -- Set complex number real and imaginary parts from parameters whose type is known by mpfr. Copyright (C) 2009, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" #define MPC_SET_X_X(type, z, real_value, imag_value, rnd) \ MPC_SET_X_Y (type, type, z, real_value, imag_value, rnd) int mpc_set_d_d (mpc_ptr z, double a, double b, mpc_rnd_t rnd) MPC_SET_X_X (d, z, a, b, rnd) int mpc_set_f_f (mpc_ptr z, mpf_srcptr a, mpf_srcptr b, mpc_rnd_t rnd) MPC_SET_X_X (f, z, a, b, rnd) int mpc_set_fr_fr (mpc_ptr z, mpfr_srcptr a, mpfr_srcptr b, mpc_rnd_t rnd) MPC_SET_X_X (fr, z, a, b, rnd) int mpc_set_ld_ld (mpc_ptr z, long double a, long double b, mpc_rnd_t rnd) MPC_SET_X_X (ld, z, a, b, rnd) int mpc_set_q_q (mpc_ptr z, mpq_srcptr a, mpq_srcptr b, mpc_rnd_t rnd) MPC_SET_X_X (q, z, a, b, rnd) int mpc_set_si_si (mpc_ptr z, long int a, long int b, mpc_rnd_t rnd) MPC_SET_X_X (si, z, a, b, rnd) int mpc_set_ui_ui (mpc_ptr z, unsigned long int a, unsigned long int b, mpc_rnd_t rnd) MPC_SET_X_X (ui, z, a, b, rnd) int mpc_set_z_z (mpc_ptr z, mpz_srcptr a, mpz_srcptr b, mpc_rnd_t rnd) MPC_SET_X_X (z, z, a, b, rnd) #ifdef _MPC_H_HAVE_INTMAX_T int mpc_set_uj_uj (mpc_ptr z, uintmax_t a, uintmax_t b, mpc_rnd_t rnd) MPC_SET_X_X (uj, z, a, b, rnd) int mpc_set_sj_sj (mpc_ptr z, intmax_t a, intmax_t b, mpc_rnd_t rnd) MPC_SET_X_X (sj, z, a, b, rnd) #endif mpc-1.3.1/src/sqr.c0000644000175100017460000002674413227377425011013 00000000000000/* mpc_sqr -- Square a complex number. Copyright (C) 2002, 2005, 2008, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" static int mpfr_fsss (mpfr_ptr z, mpfr_srcptr a, mpfr_srcptr c, mpfr_rnd_t rnd) { /* Computes z = a^2 - c^2. Assumes that a and c are finite and non-zero; so a squaring yielding an infinity is an overflow, and a squaring yielding 0 is an underflow. Assumes further that z is distinct from a and c. */ int inex; mpfr_t u, v; /* u=a^2, v=c^2 exactly */ mpfr_init2 (u, 2*mpfr_get_prec (a)); mpfr_init2 (v, 2*mpfr_get_prec (c)); mpfr_sqr (u, a, MPFR_RNDN); mpfr_sqr (v, c, MPFR_RNDN); /* tentatively compute z as u-v; here we need z to be distinct from a and c to not lose the latter */ inex = mpfr_sub (z, u, v, rnd); if (mpfr_inf_p (z)) { /* replace by "correctly rounded overflow" */ mpfr_set_si (z, (mpfr_signbit (z) ? -1 : 1), MPFR_RNDN); inex = mpfr_mul_2ui (z, z, mpfr_get_emax (), rnd); } else if (mpfr_zero_p (u) && !mpfr_zero_p (v)) { /* exactly u underflowed, determine inexact flag */ inex = (mpfr_signbit (u) ? 1 : -1); } else if (mpfr_zero_p (v) && !mpfr_zero_p (u)) { /* exactly v underflowed, determine inexact flag */ inex = (mpfr_signbit (v) ? -1 : 1); } else if (mpfr_nan_p (z) || (mpfr_zero_p (u) && mpfr_zero_p (v))) { /* In the first case, u and v are +inf. In the second case, u and v are zeroes; their difference may be 0 or the least representable number, with a sign to be determined. Redo the computations with mpz_t exponents */ mpfr_exp_t ea, ec; mpz_t eu, ev; /* cheat to work around the const qualifiers */ /* Normalise the input by shifting and keep track of the shifts in the exponents of u and v */ ea = mpfr_get_exp (a); ec = mpfr_get_exp (c); mpfr_set_exp ((mpfr_ptr) a, (mpfr_prec_t) 0); mpfr_set_exp ((mpfr_ptr) c, (mpfr_prec_t) 0); mpz_init (eu); mpz_init (ev); mpz_set_si (eu, (long int) ea); mpz_mul_2exp (eu, eu, 1); mpz_set_si (ev, (long int) ec); mpz_mul_2exp (ev, ev, 1); /* recompute u and v and move exponents to eu and ev */ mpfr_sqr (u, a, MPFR_RNDN); /* exponent of u is non-positive */ mpz_sub_ui (eu, eu, (unsigned long int) (-mpfr_get_exp (u))); mpfr_set_exp (u, (mpfr_prec_t) 0); mpfr_sqr (v, c, MPFR_RNDN); mpz_sub_ui (ev, ev, (unsigned long int) (-mpfr_get_exp (v))); mpfr_set_exp (v, (mpfr_prec_t) 0); if (mpfr_nan_p (z)) { mpfr_exp_t emax = mpfr_get_emax (); int overflow; /* We have a = ma * 2^ea with 1/2 <= |ma| < 1 and ea <= emax. So eu <= 2*emax, and eu > emax since we have an overflow. The same holds for ev. Shift u and v by as much as possible so that one of them has exponent emax and the remaining exponents in eu and ev are the same. Then carry out the addition. Shifting u and v prevents an underflow. */ if (mpz_cmp (eu, ev) >= 0) { mpfr_set_exp (u, emax); mpz_sub_ui (eu, eu, (long int) emax); mpz_sub (ev, ev, eu); mpfr_set_exp (v, (mpfr_exp_t) mpz_get_ui (ev)); /* remaining common exponent is now in eu */ } else { mpfr_set_exp (v, emax); mpz_sub_ui (ev, ev, (long int) emax); mpz_sub (eu, eu, ev); mpfr_set_exp (u, (mpfr_exp_t) mpz_get_ui (eu)); mpz_set (eu, ev); /* remaining common exponent is now also in eu */ } inex = mpfr_sub (z, u, v, rnd); /* Result is finite since u and v have the same sign. */ overflow = mpfr_mul_2ui (z, z, mpz_get_ui (eu), rnd); if (overflow) inex = overflow; } else { int underflow; /* Subtraction of two zeroes. We have a = ma * 2^ea with 1/2 <= |ma| < 1 and ea >= emin and similarly for b. So 2*emin < 2*emin+1 <= eu < emin < 0, and analogously for v. */ mpfr_exp_t emin = mpfr_get_emin (); if (mpz_cmp (eu, ev) <= 0) { mpfr_set_exp (u, emin); mpz_add_ui (eu, eu, (unsigned long int) (-emin)); mpz_sub (ev, ev, eu); mpfr_set_exp (v, (mpfr_exp_t) mpz_get_si (ev)); } else { mpfr_set_exp (v, emin); mpz_add_ui (ev, ev, (unsigned long int) (-emin)); mpz_sub (eu, eu, ev); mpfr_set_exp (u, (mpfr_exp_t) mpz_get_si (eu)); mpz_set (eu, ev); } inex = mpfr_sub (z, u, v, rnd); mpz_neg (eu, eu); underflow = mpfr_div_2ui (z, z, mpz_get_ui (eu), rnd); if (underflow) inex = underflow; } mpz_clear (eu); mpz_clear (ev); mpfr_set_exp ((mpfr_ptr) a, ea); mpfr_set_exp ((mpfr_ptr) c, ec); /* works also when a == c */ } mpfr_clear (u); mpfr_clear (v); return inex; } int mpc_sqr (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { int ok; mpfr_t u, v; mpfr_t x; /* temporary variable to hold the real part of op, needed in the case rop==op */ mpfr_prec_t prec; int inex_re, inex_im, inexact; mpfr_exp_t emin; int saved_underflow; /* special values: NaN and infinities */ if (!mpc_fin_p (op)) { if (mpfr_nan_p (mpc_realref (op)) || mpfr_nan_p (mpc_imagref (op))) { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); } else if (mpfr_inf_p (mpc_realref (op))) { if (mpfr_inf_p (mpc_imagref (op))) { mpfr_set_inf (mpc_imagref (rop), MPFR_SIGN (mpc_realref (op)) * MPFR_SIGN (mpc_imagref (op))); mpfr_set_nan (mpc_realref (rop)); } else { if (mpfr_zero_p (mpc_imagref (op))) mpfr_set_nan (mpc_imagref (rop)); else mpfr_set_inf (mpc_imagref (rop), MPFR_SIGN (mpc_realref (op)) * MPFR_SIGN (mpc_imagref (op))); mpfr_set_inf (mpc_realref (rop), +1); } } else /* IM(op) is infinity, RE(op) is not */ { if (mpfr_zero_p (mpc_realref (op))) mpfr_set_nan (mpc_imagref (rop)); else mpfr_set_inf (mpc_imagref (rop), MPFR_SIGN (mpc_realref (op)) * MPFR_SIGN (mpc_imagref (op))); mpfr_set_inf (mpc_realref (rop), -1); } return MPC_INEX (0, 0); /* exact */ } prec = MPC_MAX_PREC(rop); /* Check for real resp. purely imaginary number */ if (mpfr_zero_p (mpc_imagref(op))) { int same_sign = mpfr_signbit (mpc_realref (op)) == mpfr_signbit (mpc_imagref (op)); inex_re = mpfr_sqr (mpc_realref(rop), mpc_realref(op), MPC_RND_RE(rnd)); inex_im = mpfr_set_ui (mpc_imagref(rop), 0ul, MPFR_RNDN); if (!same_sign) mpc_conj (rop, rop, MPC_RNDNN); return MPC_INEX(inex_re, inex_im); } if (mpfr_zero_p (mpc_realref(op))) { int same_sign = mpfr_signbit (mpc_realref (op)) == mpfr_signbit (mpc_imagref (op)); inex_re = -mpfr_sqr (mpc_realref(rop), mpc_imagref(op), INV_RND (MPC_RND_RE(rnd))); mpfr_neg (mpc_realref(rop), mpc_realref(rop), MPFR_RNDN); inex_im = mpfr_set_ui (mpc_imagref(rop), 0ul, MPFR_RNDN); if (!same_sign) mpc_conj (rop, rop, MPC_RNDNN); return MPC_INEX(inex_re, inex_im); } if (rop == op) { mpfr_init2 (x, MPC_PREC_RE (op)); mpfr_set (x, op->re, MPFR_RNDN); } else x [0] = op->re [0]; /* From here on, use x instead of op->re and safely overwrite rop->re. */ /* Compute real part of result. */ if (SAFE_ABS (mpfr_exp_t, mpfr_get_exp (mpc_realref (op)) - mpfr_get_exp (mpc_imagref (op))) > (mpfr_exp_t) MPC_MAX_PREC (op) / 2) { /* If the real and imaginary parts of the argument have very different exponents, it is not reasonable to use Karatsuba squaring; compute exactly with the standard formulae instead, even if this means an additional multiplication. Using the approach copied from mul, over- and underflows are also handled correctly. */ inex_re = mpfr_fsss (rop->re, x, op->im, MPC_RND_RE (rnd)); } else { /* Karatsuba squaring: we compute the real part as (x+y)*(x-y) and the imaginary part as 2*x*y, with a total of 2M instead of 2S+1M for the naive algorithm, which computes x^2-y^2 and 2*y*y */ mpfr_init (u); mpfr_init (v); emin = mpfr_get_emin (); do { prec += mpc_ceil_log2 (prec) + 5; mpfr_set_prec (u, prec); mpfr_set_prec (v, prec); /* Let op = x + iy. We need u = x+y and v = x-y, rounded away. */ /* The error is bounded above by 1 ulp. */ /* We first let inexact be 1 if the real part is not computed */ /* exactly and determine the sign later. */ inexact = mpfr_add (u, x, mpc_imagref (op), MPFR_RNDA) | mpfr_sub (v, x, mpc_imagref (op), MPFR_RNDA); /* compute the real part as u*v, rounded away */ /* determine also the sign of inex_re */ if (mpfr_sgn (u) == 0 || mpfr_sgn (v) == 0) { /* as we have rounded away, the result is exact */ mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); inex_re = 0; ok = 1; } else { inexact |= mpfr_mul (u, u, v, MPFR_RNDA); /* error 5 */ if (mpfr_get_exp (u) == emin || mpfr_inf_p (u)) { /* under- or overflow */ inex_re = mpfr_fsss (rop->re, x, op->im, MPC_RND_RE (rnd)); ok = 1; } else { ok = (!inexact) | mpfr_can_round (u, prec - 3, MPFR_RNDA, MPFR_RNDZ, MPC_PREC_RE (rop) + (MPC_RND_RE (rnd) == MPFR_RNDN)); if (ok) { inex_re = mpfr_set (mpc_realref (rop), u, MPC_RND_RE (rnd)); if (inex_re == 0) /* remember that u was already rounded */ inex_re = inexact; } } } } while (!ok); mpfr_clear (u); mpfr_clear (v); } saved_underflow = mpfr_underflow_p (); mpfr_clear_underflow (); inex_im = mpfr_mul (rop->im, x, op->im, MPC_RND_IM (rnd)); if (!mpfr_underflow_p ()) inex_im |= mpfr_mul_2ui (rop->im, rop->im, 1, MPC_RND_IM (rnd)); /* We must not multiply by 2 if rop->im has been set to the smallest representable number. */ if (saved_underflow) mpfr_set_underflow (); if (rop == op) mpfr_clear (x); return MPC_INEX (inex_re, inex_im); } mpc-1.3.1/src/add_ui.c0000644000175100017460000000216212426164730011410 00000000000000/* mpc_add_ui -- Add a complex number and an unsigned long int. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff both the real and imaginary parts are exact */ int mpc_add_ui (mpc_ptr a, mpc_srcptr b, unsigned long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_add_ui (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/pow_fr.c0000644000175100017460000000220713227377425011466 00000000000000/* mpc_pow_fr -- Raise a complex number to a floating-point power. Copyright (C) 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_pow_fr (mpc_ptr z, mpc_srcptr x, mpfr_srcptr y, mpc_rnd_t rnd) { mpc_t yy; int inex; /* avoid copying the significand of y by copying only the struct */ mpc_realref(yy)[0] = y[0]; mpfr_init2 (mpc_imagref(yy), MPFR_PREC_MIN); mpfr_set_ui (mpc_imagref(yy), 0, MPFR_RNDN); inex = mpc_pow (z, x, yy, rnd); mpfr_clear (mpc_imagref(yy)); return inex; } mpc-1.3.1/src/pow_ld.c0000644000175100017460000000217712426164730011455 00000000000000/* mpc_pow_ld -- Raise a complex number to a long double power. Copyright (C) 2009 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include /* for LDBL_MANT_DIG */ #include "mpc-impl.h" int mpc_pow_ld (mpc_ptr z, mpc_srcptr x, long double y, mpc_rnd_t rnd) { mpc_t yy; int inex; MPC_ASSERT(FLT_RADIX == 2); mpc_init3 (yy, LDBL_MANT_DIG, MPFR_PREC_MIN); mpc_set_ld (yy, y, MPC_RNDNN); /* exact */ inex = mpc_pow (z, x, yy, rnd); mpc_clear (yy); return inex; } mpc-1.3.1/src/sqrt.c0000644000175100017460000003066314345571363011171 00000000000000/* mpc_sqrt -- Take the square root of a complex number. Copyright (C) 2002, 2008, 2009, 2010, 2011, 2012, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_sqrt (mpc_ptr a, mpc_srcptr b, mpc_rnd_t rnd) { int ok_w, ok_t = 0; mpfr_t w, t; mpfr_rnd_t rnd_w, rnd_t; mpfr_prec_t prec_w, prec_t; /* the rounding mode and the precision required for w and t, which can */ /* be either the real or the imaginary part of a */ mpfr_prec_t prec; int inex_w, inex_t = 1, inex_re, inex_im, loops = 0; const int re_cmp = mpfr_cmp_ui (mpc_realref (b), 0), im_cmp = mpfr_cmp_ui (mpc_imagref (b), 0); /* comparison of the real/imaginary part of b with 0 */ int repr_w, repr_t = 0 /* to avoid gcc warning */ ; /* flag indicating whether the computed value is already representable at the target precision */ const int im_sgn = mpfr_signbit (mpc_imagref (b)) == 0 ? 0 : -1; /* we need to know the sign of Im(b) when it is +/-0 */ const mpfr_rnd_t r = im_sgn ? MPFR_RNDD : MPFR_RNDU; /* rounding mode used when computing t */ mpfr_exp_t saved_emin, saved_emax; /* special values */ if (!mpc_fin_p (b)) { /* sqrt(x +i*Inf) = +Inf +I*Inf, even if x = NaN */ /* sqrt(x -i*Inf) = +Inf -I*Inf, even if x = NaN */ if (mpfr_inf_p (mpc_imagref (b))) { mpfr_set_inf (mpc_realref (a), +1); mpfr_set_inf (mpc_imagref (a), im_sgn); return MPC_INEX (0, 0); } if (mpfr_inf_p (mpc_realref (b))) { if (mpfr_signbit (mpc_realref (b))) { if (mpfr_number_p (mpc_imagref (b))) { /* sqrt(-Inf +i*y) = +0 +i*Inf, when y positive */ /* sqrt(-Inf +i*y) = +0 -i*Inf, when y positive */ mpfr_set_ui (mpc_realref (a), 0, MPFR_RNDN); mpfr_set_inf (mpc_imagref (a), im_sgn); return MPC_INEX (0, 0); } else { /* sqrt(-Inf +i*NaN) = NaN +/-i*Inf */ mpfr_set_nan (mpc_realref (a)); mpfr_set_inf (mpc_imagref (a), im_sgn); return MPC_INEX (0, 0); } } else { if (mpfr_number_p (mpc_imagref (b))) { /* sqrt(+Inf +i*y) = +Inf +i*0, when y positive */ /* sqrt(+Inf +i*y) = +Inf -i*0, when y positive */ mpfr_set_inf (mpc_realref (a), +1); mpfr_set_ui (mpc_imagref (a), 0, MPFR_RNDN); if (im_sgn) mpc_conj (a, a, MPC_RNDNN); return MPC_INEX (0, 0); } else { /* sqrt(+Inf -i*Inf) = +Inf -i*Inf */ /* sqrt(+Inf +i*Inf) = +Inf +i*Inf */ /* sqrt(+Inf +i*NaN) = +Inf +i*NaN */ return mpc_set (a, b, rnd); } } } /* sqrt(x +i*NaN) = NaN +i*NaN, if x is not infinite */ /* sqrt(NaN +i*y) = NaN +i*NaN, if y is not infinite */ if (mpfr_nan_p (mpc_realref (b)) || mpfr_nan_p (mpc_imagref (b))) { mpfr_set_nan (mpc_realref (a)); mpfr_set_nan (mpc_imagref (a)); return MPC_INEX (0, 0); } } /* purely real */ if (im_cmp == 0) { if (re_cmp == 0) { mpc_set_ui_ui (a, 0, 0, MPC_RNDNN); if (im_sgn) mpc_conj (a, a, MPC_RNDNN); return MPC_INEX (0, 0); } else if (re_cmp > 0) { inex_w = mpfr_sqrt (mpc_realref (a), mpc_realref (b), MPC_RND_RE (rnd)); mpfr_set_ui (mpc_imagref (a), 0, MPFR_RNDN); if (im_sgn) mpc_conj (a, a, MPC_RNDNN); return MPC_INEX (inex_w, 0); } else { mpfr_init2 (w, MPC_PREC_RE (b)); mpfr_neg (w, mpc_realref (b), MPFR_RNDN); if (im_sgn) { inex_w = -mpfr_sqrt (mpc_imagref (a), w, INV_RND (MPC_RND_IM (rnd))); mpfr_neg (mpc_imagref (a), mpc_imagref (a), MPFR_RNDN); } else inex_w = mpfr_sqrt (mpc_imagref (a), w, MPC_RND_IM (rnd)); mpfr_set_ui (mpc_realref (a), 0, MPFR_RNDN); mpfr_clear (w); return MPC_INEX (0, inex_w); } } /* purely imaginary */ if (re_cmp == 0) { mpfr_t y; y[0] = mpc_imagref (b)[0]; /* If y/2 underflows, so does sqrt(y/2) */ mpfr_div_2ui (y, y, 1, MPFR_RNDN); if (im_cmp > 0) { inex_w = mpfr_sqrt (mpc_realref (a), y, MPC_RND_RE (rnd)); inex_t = mpfr_sqrt (mpc_imagref (a), y, MPC_RND_IM (rnd)); } else { mpfr_neg (y, y, MPFR_RNDN); inex_w = mpfr_sqrt (mpc_realref (a), y, MPC_RND_RE (rnd)); inex_t = -mpfr_sqrt (mpc_imagref (a), y, INV_RND (MPC_RND_IM (rnd))); mpfr_neg (mpc_imagref (a), mpc_imagref (a), MPFR_RNDN); } return MPC_INEX (inex_w, inex_t); } prec = MPC_MAX_PREC(a); mpfr_init (w); mpfr_init (t); if (re_cmp > 0) { rnd_w = MPC_RND_RE (rnd); prec_w = MPC_PREC_RE (a); rnd_t = MPC_RND_IM(rnd); if (rnd_t == MPFR_RNDZ) /* force MPFR_RNDD or MPFR_RNDUP, using sign(t) = sign(y) */ rnd_t = (im_cmp > 0 ? MPFR_RNDD : MPFR_RNDU); else if (rnd_t == MPFR_RNDA) rnd_t = (im_cmp > 0 ? MPFR_RNDU : MPFR_RNDD); prec_t = MPC_PREC_IM (a); } else { prec_w = MPC_PREC_IM (a); prec_t = MPC_PREC_RE (a); if (im_cmp > 0) { rnd_w = MPC_RND_IM(rnd); rnd_t = MPC_RND_RE(rnd); if (rnd_t == MPFR_RNDZ) rnd_t = MPFR_RNDD; else if (rnd_t == MPFR_RNDA) rnd_t = MPFR_RNDU; } else { rnd_w = INV_RND(MPC_RND_IM (rnd)); rnd_t = INV_RND(MPC_RND_RE (rnd)); if (rnd_t == MPFR_RNDZ) rnd_t = MPFR_RNDU; else if (rnd_t == MPFR_RNDA) rnd_t = MPFR_RNDD; } } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); do { loops ++; prec += (loops <= 2) ? mpc_ceil_log2 (prec) + 4 : prec / 2; mpfr_set_prec (w, prec); mpfr_set_prec (t, prec); /* let b = x + iy */ /* w = sqrt ((|x| + sqrt (x^2 + y^2)) / 2), rounded down */ /* final error on w bounded by 10 ulps, see algorithms.tex */ inex_w = mpfr_sqr (w, mpc_realref (b), MPFR_RNDD); inex_w |= mpfr_sqr (t, mpc_imagref (b), MPFR_RNDD); inex_w |= mpfr_add (w, w, t, MPFR_RNDD); inex_w |= mpfr_sqrt (w, w, MPFR_RNDD); if (re_cmp < 0) inex_w |= mpfr_sub (w, w, mpc_realref (b), MPFR_RNDD); else inex_w |= mpfr_add (w, w, mpc_realref (b), MPFR_RNDD); inex_w |= mpfr_div_2ui (w, w, 1, MPFR_RNDD); inex_w |= mpfr_sqrt (w, w, MPFR_RNDD); repr_w = mpfr_min_prec (w) <= prec_w; if (!repr_w) /* use the usual trick for obtaining the ternary value */ ok_w = mpfr_can_round (w, prec - 4, MPFR_RNDD, MPFR_RNDU, prec_w + (rnd_w == MPFR_RNDN)); else { /* w is representable in the target precision and thus cannot be rounded up */ if (rnd_w == MPFR_RNDN) /* If w can be rounded to nearest, then actually no rounding occurs, and the ternary value is known from inex_w. */ ok_w = mpfr_can_round (w, prec - 4, MPFR_RNDD, MPFR_RNDN, prec_w); else /* If w can be rounded down, then any direct rounding and the ternary flag can be determined from inex_w. */ ok_w = mpfr_can_round (w, prec - 4, MPFR_RNDD, MPFR_RNDD, prec_w); } if (!inex_w || ok_w) { /* t = y / 2w, rounded away */ /* total error bounded by 16 ulps, see algorithms.tex */ inex_t = mpfr_div (t, mpc_imagref (b), w, r); if (!inex_t && inex_w) /* The division was exact, but w was not. */ inex_t = im_sgn ? -1 : 1; inex_t |= mpfr_div_2ui (t, t, 1, r); repr_t = mpfr_min_prec (t) <= prec_t; if (!repr_t) /* As for w; since t was rounded away, we check whether rounding to 0 is possible. */ ok_t = mpfr_can_round (t, prec - 4, r, MPFR_RNDZ, prec_t + (rnd_t == MPFR_RNDN)); else { if (rnd_t == MPFR_RNDN) ok_t = mpfr_can_round (t, prec - 4, r, MPFR_RNDN, prec_t); else ok_t = mpfr_can_round (t, prec - 4, r, r, prec_t); } } } while ((inex_w && !ok_w) || (inex_t && !ok_t)); if (re_cmp > 0) { inex_re = mpfr_set (mpc_realref (a), w, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref (a), t, MPC_RND_IM(rnd)); } else if (im_cmp > 0) { inex_re = mpfr_set (mpc_realref(a), t, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(a), w, MPC_RND_IM(rnd)); } else { inex_re = mpfr_neg (mpc_realref (a), t, MPC_RND_RE(rnd)); inex_im = mpfr_neg (mpc_imagref (a), w, MPC_RND_IM(rnd)); } if (repr_w && inex_w) { if (rnd_w == MPFR_RNDN) { /* w has not been rounded with mpfr_set/mpfr_neg, determine ternary value from inex_w instead */ if (re_cmp > 0) inex_re = inex_w; else if (im_cmp > 0) inex_im = inex_w; else inex_im = -inex_w; } else { /* determine ternary value, but also potentially add 1 ulp; can only be done now when we are in the target precision */ if (re_cmp > 0) { if (rnd_w == MPFR_RNDU || rnd_w == MPFR_RNDA) { MPFR_ADD_ONE_ULP (mpc_realref (a)); inex_re = +1; } else inex_re = -1; } else if (im_cmp > 0) { if (rnd_w == MPFR_RNDU || rnd_w == MPFR_RNDA) { MPFR_ADD_ONE_ULP (mpc_imagref (a)); inex_im = +1; } else inex_im = -1; } else { if (rnd_w == MPFR_RNDU || rnd_w == MPFR_RNDA) { MPFR_ADD_ONE_ULP (mpc_imagref (a)); inex_im = -1; } else inex_im = +1; } } } if (repr_t && inex_t) { if (rnd_t == MPFR_RNDN) { if (re_cmp > 0) inex_im = inex_t; else if (im_cmp > 0) inex_re = inex_t; else inex_re = -inex_t; } else { if (re_cmp > 0) { if (rnd_t == r) inex_im = inex_t; else { inex_im = -inex_t; /* im_cmp > 0 implies that Im(b) > 0, thus im_sgn = 0 and r = MPFR_RNDU. im_cmp < 0 implies that Im(b) < 0, thus im_sgn = -1 and r = MPFR_RNDD. */ MPFR_SUB_ONE_ULP (mpc_imagref (a)); } } else if (im_cmp > 0) { if (rnd_t == r) inex_re = inex_t; else { inex_re = -inex_t; /* im_cmp > 0 implies r = MPFR_RNDU (see above) */ MPFR_SUB_ONE_ULP (mpc_realref (a)); } } else { /* im_cmp < 0 */ if (rnd_t == r) inex_re = -inex_t; else { inex_re = inex_t; /* im_cmp < 0 implies r = MPFR_RNDD (see above) */ MPFR_SUB_ONE_ULP (mpc_realref (a)); } } } } mpfr_clear (w); mpfr_clear (t); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (a), inex_re, MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (a), inex_im, MPC_RND_IM (rnd)); return MPC_INEX (inex_re, inex_im); } mpc-1.3.1/src/logging.c0000644000175100017460000001047314345571363011623 00000000000000/* logging.c -- "Dummy" functions logging calls to real mpc functions. Copyright (C) 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #define __MPC_LIBRARY_BUILD /* to indicate we are inside the library build; needed here since mpc-log.h includes mpc.h and not mpc-impl.h */ #include "mpc-log.h" #include "config.h" #ifdef HAVE_DLFCN_H #include #endif typedef int (*c_c_func_ptr) (mpc_ptr, mpc_srcptr, mpc_rnd_t); typedef int (*c_cc_func_ptr) (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); typedef int (*c_ccc_func_ptr) (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); typedef int (*cc_c_func_ptr) (mpc_ptr, mpc_ptr, mpc_srcptr, mpc_rnd_t, mpc_rnd_t); #define MPC_LOGGING_OUT_PREC(z) \ do { \ fprintf (stderr, " %li %li", (long) mpfr_get_prec (mpc_realref (z)), \ (long) mpfr_get_prec (mpc_imagref (z))); \ } while (0); #define MPC_LOGGING_OUT_C(z) \ do { \ MPC_LOGGING_OUT_PREC (z); \ fprintf (stderr, " "); \ mpc_out_str (stderr, 16, 0, z, MPC_RNDNN); \ } while (0); #define MPC_LOGGING_FUNC_TYPE(funcname, type) \ do { \ fprintf (stderr, "mpc_"#funcname" "#type); \ } while (0); #define MPC_LOGGING_C_C(funcname) \ __MPC_DECLSPEC int mpc_log_##funcname (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) \ { \ static c_c_func_ptr func = NULL; \ if (func == NULL) \ func = (c_c_func_ptr) (intptr_t) dlsym (NULL, "mpc_"#funcname); \ MPC_LOGGING_FUNC_TYPE (funcname, c_c); \ MPC_LOGGING_OUT_PREC (rop); \ MPC_LOGGING_OUT_C (op); \ fprintf (stderr, "\n"); \ return func (rop, op, rnd); \ } #define MPC_LOGGING_C_CC(funcname) \ __MPC_DECLSPEC int mpc_log_##funcname (mpc_ptr rop, mpc_srcptr op1, mpc_srcptr op2, mpc_rnd_t rnd) \ { \ static c_cc_func_ptr func = NULL; \ if (func == NULL) \ func = (c_cc_func_ptr) (intptr_t) dlsym (NULL, "mpc_"#funcname); \ MPC_LOGGING_FUNC_TYPE (funcname, c_cc); \ MPC_LOGGING_OUT_PREC (rop); \ MPC_LOGGING_OUT_C (op1); \ MPC_LOGGING_OUT_C (op2); \ fprintf (stderr, "\n"); \ return func (rop, op1, op2, rnd); \ } #define MPC_LOGGING_C_CCC(funcname) \ __MPC_DECLSPEC int mpc_log_##funcname (mpc_ptr rop, mpc_srcptr op1, mpc_srcptr op2, mpc_srcptr op3, mpc_rnd_t rnd) \ { \ static c_ccc_func_ptr func = NULL; \ if (func == NULL) \ func = (c_ccc_func_ptr) (intptr_t) dlsym (NULL, "mpc_"#funcname); \ MPC_LOGGING_FUNC_TYPE (funcname, c_ccc); \ MPC_LOGGING_OUT_PREC (rop); \ MPC_LOGGING_OUT_C (op1); \ MPC_LOGGING_OUT_C (op2); \ MPC_LOGGING_OUT_C (op3); \ fprintf (stderr, "\n"); \ return func (rop, op1, op2, op3, rnd); \ } #define MPC_LOGGING_CC_C(funcname) \ __MPC_DECLSPEC int mpc_log_##funcname (mpc_ptr rop1, mpc_ptr rop2, mpc_srcptr op, mpc_rnd_t rnd1, mpc_rnd_t rnd2) \ { \ static cc_c_func_ptr func = NULL; \ if (func == NULL) \ func = (cc_c_func_ptr) (intptr_t) dlsym (NULL, "mpc_"#funcname); \ MPC_LOGGING_FUNC_TYPE (funcname, cc_c); \ MPC_LOGGING_OUT_PREC (rop1); \ MPC_LOGGING_OUT_PREC (rop2); \ MPC_LOGGING_OUT_C (op); \ fprintf (stderr, "\n"); \ return func (rop1, rop2, op, rnd1, rnd2); \ } MPC_LOGGING_C_C (sqr) MPC_LOGGING_C_C (conj) MPC_LOGGING_C_C (neg) MPC_LOGGING_C_C (sqrt) MPC_LOGGING_C_C (proj) MPC_LOGGING_C_C (exp) MPC_LOGGING_C_C (log) MPC_LOGGING_C_C (sin) MPC_LOGGING_C_C (cos) MPC_LOGGING_C_C (tan) MPC_LOGGING_C_C (sinh) MPC_LOGGING_C_C (cosh) MPC_LOGGING_C_C (tanh) MPC_LOGGING_C_C (asin) MPC_LOGGING_C_C (acos) MPC_LOGGING_C_C (atan) MPC_LOGGING_C_C (asinh) MPC_LOGGING_C_C (acosh) MPC_LOGGING_C_C (atanh) MPC_LOGGING_C_CC (add) MPC_LOGGING_C_CC (sub) MPC_LOGGING_C_CC (mul) MPC_LOGGING_C_CC (div) MPC_LOGGING_C_CC (pow) MPC_LOGGING_C_CCC (fma) MPC_LOGGING_CC_C (sin_cos) mpc-1.3.1/src/mpc-impl.h0000644000175100017460000001571414345607260011717 00000000000000/* mpc-impl.h -- Internal include file for mpc. Copyright (C) 2002, 2004, 2005, 2008, 2009, 2010, 2011, 2012, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #ifndef __MPC_IMPL_H #define __MPC_IMPL_H #define __MPC_LIBRARY_BUILD /* to indicate we are inside the library build */ #include "config.h" #ifdef HAVE_STDLIB_H #include #endif #include "mpc.h" /* * Miscellaneous useful macros */ #define MPC_MIN(h,i) ((h) < (i) ? (h) : (i)) #define MPC_MAX(h,i) ((h) > (i) ? (h) : (i)) /* Safe absolute value (to avoid possible integer overflow) */ /* type is the target (unsigned) type (copied from mpfr-impl.h) */ #ifdef SAFE_ABS #undef SAFE_ABS #endif #define SAFE_ABS(type,x) ((x) >= 0 ? (type)(x) : -(type)(x)) /* * MPFR constants and macros */ #ifndef BITS_PER_MP_LIMB #define BITS_PER_MP_LIMB mp_bits_per_limb #endif #define MPFR_SIGNBIT(x) (mpfr_signbit (x) ? -1 : 1) #define MPC_MPFR_SIGN(x) (mpfr_zero_p (x) ? 0 : MPFR_SIGNBIT (x)) /* should be called MPFR_SIGN, but this is taken in mpfr.h */ #define MPFR_CHANGE_SIGN(x) mpfr_neg(x,x,MPFR_RNDN) #define MPFR_COPYSIGN(x,y,z,rnd) (mpfr_nan_p (z) ? \ mpfr_setsign (x, y, 0, rnd) : \ mpfr_copysign (x, y, z, rnd)) /* work around spurious signs in nan */ #define MPFR_ADD_ONE_ULP(x) \ (MPFR_SIGN (x) > 0 ? mpfr_nextabove (x) : mpfr_nextbelow (x)) #define MPFR_SUB_ONE_ULP(x) \ (MPFR_SIGN (x) > 0 ? mpfr_nextbelow (x) : mpfr_nextabove (x)) /* drop unused rounding mode from macros */ #define MPFR_SWAP(a,b) do { mpfr_srcptr tmp; tmp = a; a = b; b = tmp; } while (0) /* * MPC macros */ #define MPC_PREC_RE(x) (mpfr_get_prec(mpc_realref(x))) #define MPC_PREC_IM(x) (mpfr_get_prec(mpc_imagref(x))) #define MPC_MAX_PREC(x) MPC_MAX(MPC_PREC_RE(x), MPC_PREC_IM(x)) #define INV_RND(r) \ (((r) == MPFR_RNDU) ? MPFR_RNDD : (((r) == MPFR_RNDD) ? MPFR_RNDU : (r))) /* Return non-zero if 'rnd' rounds towards zero, for a number of sign 'sgn' */ #define MPC_IS_LIKE_RNDZ(rnd, sgn) \ ((rnd==MPFR_RNDZ) || (sgn<0 && rnd==MPFR_RNDU) || (sgn>0 && rnd==MPFR_RNDD)) /* Return non-zero if 'rnd' rounds away from zero for a number of sign 'sgn' */ #define MPC_IS_LIKE_RNDA(rnd, sgn) \ ((sgn<0 && rnd==MPFR_RNDD) || (sgn>0 && rnd==MPFR_RNDU)) #define mpc_inf_p(z) (mpfr_inf_p(mpc_realref(z))||mpfr_inf_p(mpc_imagref(z))) /* Convention in C99 (G.3): z is regarded as an infinity if at least one of its parts is infinite */ #define mpc_zero_p(z) (mpfr_zero_p(mpc_realref(z))&&mpfr_zero_p(mpc_imagref(z))) /* Convention in C99 (G.3): z is regarded as a zero if each of its parts is a zero */ #define mpc_fin_p(z) (mpfr_number_p(mpc_realref(z))&&mpfr_number_p(mpc_imagref(z))) /* Convention in C99 (G.3): z is regarded as finite if both its parts are */ #define mpc_nan_p(z) ((mpfr_nan_p(mpc_realref(z)) && !mpfr_inf_p(mpc_imagref(z))) || (mpfr_nan_p(mpc_imagref(z)) && !mpfr_inf_p(mpc_realref(z)))) /* Consider as NaN all other numbers containing at least one NaN */ /* * ASSERT macros */ #ifdef NDEBUG #define MPC_ASSERT(expr) \ do { \ } while (0) #else #define MPC_ASSERT(expr) \ do { \ if (!(expr)) \ { \ fprintf (stderr, "%s:%d: MPC assertion failed: %s\n", \ __FILE__, __LINE__, #expr); \ abort(); \ } \ } while (0) #endif /* * Debug macros */ #define MPC_OUT(x) \ do { \ printf (#x "[%lu,%lu]=", (unsigned long int) MPC_PREC_RE (x), \ (unsigned long int) MPC_PREC_IM (x)); \ mpc_out_str (stdout, 2, 0, x, MPC_RNDNN); \ printf ("\n"); \ } while (0) #define MPFR_OUT(x) \ do { \ printf (#x "[%lu]=", (unsigned long int) mpfr_get_prec (x)); \ mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); \ printf ("\n"); \ } while (0) #define MPFR_OUT_Q(x) \ do { \ mpq_t q; \ mpq_init (q); \ mpfr_get_q (q, x); \ mpq_out_str (stdout, 10, q); \ mpq_clear (q); \ } while (0) #define MPC_OUT_PARI(x) \ do { \ printf (#x "="); \ MPFR_OUT_Q (mpc_realref (x)); \ printf ("+I*("); \ MPFR_OUT_Q (mpc_imagref (x)); \ printf (");\n"); \ } while (0) /* * Constants */ #ifndef MUL_KARATSUBA_THRESHOLD #define MUL_KARATSUBA_THRESHOLD 23 #endif /* * Define internal functions */ #if defined (__cplusplus) extern "C" { #endif /* Function for mpcb. */ __MPC_DECLSPEC void mpcb_eta_err (mpcb_ptr eta, mpc_srcptr z, unsigned long int err_re, unsigned long int err_im); /* Functions for mpc. */ __MPC_DECLSPEC int mpc_mul_naive (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_karatsuba (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_fma_naive (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_usi (mpc_ptr, mpc_srcptr, unsigned long, int, mpc_rnd_t); __MPC_DECLSPEC char* mpc_alloc_str (size_t); __MPC_DECLSPEC char* mpc_realloc_str (char*, size_t, size_t); __MPC_DECLSPEC void mpc_free_str (char*); __MPC_DECLSPEC mpfr_prec_t mpc_ceil_log2 (mpfr_prec_t); __MPC_DECLSPEC int set_pi_over_2 (mpfr_ptr, int, mpfr_rnd_t); __MPC_DECLSPEC int mpc_fix_inf (mpfr_t x, mpfr_rnd_t rnd); __MPC_DECLSPEC int mpc_fix_zero (mpfr_t x, mpfr_rnd_t rnd); #if defined (__cplusplus) } #endif #endif mpc-1.3.1/src/init3.c0000644000175100017460000000166114345571363011222 00000000000000/* mpc_init3 -- Initialize a complex variable with given precisions. Copyright (C) 2002, 2009, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" void mpc_init3 (mpc_ptr x, mpfr_prec_t prec_re, mpfr_prec_t prec_im) { mpfr_init2 (mpc_realref(x), prec_re); mpfr_init2 (mpc_imagref(x), prec_im); } mpc-1.3.1/src/inp_str.c0000644000175100017460000001344512426164730011647 00000000000000/* mpc_inp_str -- Input a complex number from a given stream. Copyright (C) 2009, 2010, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for FILE */ #include #include #include "mpc-impl.h" static size_t skip_whitespace (FILE *stream) { int c = getc (stream); size_t size = 0; while (c != EOF && isspace ((unsigned char) c)) { c = getc (stream); size++; } if (c != EOF) ungetc (c, stream); return size; } /* Extract from stream the longest string made up of alphanumeric char and '_' (i.e. n-char-sequence). The user must free the returned string. */ static char * extract_suffix (FILE *stream) { int c; size_t nread = 0; size_t strsize = 100; char *str = mpc_alloc_str (strsize); c = getc (stream); while (isalnum ((unsigned char) c) || c == '_') { str [nread] = (char) c; nread++; if (nread == strsize) { str = mpc_realloc_str (str, strsize, 2 * strsize); strsize *= 2; } c = getc (stream); } str = mpc_realloc_str (str, strsize, nread + 1); strsize = nread + 1; str [nread] = '\0'; if (c != EOF) ungetc (c, stream); return str; } /* Extract from the stream the longest string of characters which are neither whitespace nor brackets (except for an optional bracketed n-char_sequence directly following nan or @nan@ independently of case). The user must free the returned string. */ static char * extract_string (FILE *stream) { int c; size_t nread = 0; size_t strsize = 100; char *str = mpc_alloc_str (strsize); size_t lenstr; c = getc (stream); while (c != EOF && c != '\n' && !isspace ((unsigned char) c) && c != '(' && c != ')') { str [nread] = (char) c; nread++; if (nread == strsize) { str = mpc_realloc_str (str, strsize, 2 * strsize); strsize *= 2; } c = getc (stream); } str = mpc_realloc_str (str, strsize, nread + 1); strsize = nread + 1; str [nread] = '\0'; if (nread == 0) return str; lenstr = nread; if (c == '(') { size_t n; char *suffix; int ret; /* (n-char-sequence) only after a NaN */ if ((nread != 3 || tolower ((unsigned char) (str[0])) != 'n' || tolower ((unsigned char) (str[1])) != 'a' || tolower ((unsigned char) (str[2])) != 'n') && (nread != 5 || str[0] != '@' || tolower ((unsigned char) (str[1])) != 'n' || tolower ((unsigned char) (str[2])) != 'a' || tolower ((unsigned char) (str[3])) != 'n' || str[4] != '@')) { ungetc (c, stream); return str; } suffix = extract_suffix (stream); nread += strlen (suffix) + 1; if (nread >= strsize) { str = mpc_realloc_str (str, strsize, nread + 1); strsize = nread + 1; } /* Warning: the sprintf does not allow overlap between arguments. */ ret = sprintf (str + lenstr, "(%s", suffix); MPC_ASSERT (ret >= 0); n = lenstr + (size_t) ret; MPC_ASSERT (n == nread); c = getc (stream); if (c == ')') { str = mpc_realloc_str (str, strsize, nread + 2); strsize = nread + 2; str [nread] = (char) c; str [nread+1] = '\0'; nread++; } else if (c != EOF) ungetc (c, stream); mpc_free_str (suffix); } else if (c != EOF) ungetc (c, stream); return str; } int mpc_inp_str (mpc_ptr rop, FILE *stream, size_t *read, int base, mpc_rnd_t rnd_mode) { size_t white, nread = 0; int inex = -1; int c; char *str; if (stream == NULL) stream = stdin; white = skip_whitespace (stream); c = getc (stream); if (c != EOF) { if (c == '(') { char *real_str; char *imag_str; size_t n; int ret; nread++; /* the opening parenthesis */ white = skip_whitespace (stream); real_str = extract_string (stream); nread += strlen(real_str); c = getc (stream); if (!isspace ((unsigned int) c)) { if (c != EOF) ungetc (c, stream); mpc_free_str (real_str); goto error; } else ungetc (c, stream); white += skip_whitespace (stream); imag_str = extract_string (stream); nread += strlen (imag_str); str = mpc_alloc_str (nread + 2); ret = sprintf (str, "(%s %s", real_str, imag_str); MPC_ASSERT (ret >= 0); n = (size_t) ret; MPC_ASSERT (n == nread + 1); mpc_free_str (real_str); mpc_free_str (imag_str); white += skip_whitespace (stream); c = getc (stream); if (c == ')') { str = mpc_realloc_str (str, nread +2, nread + 3); str [nread+1] = (char) c; str [nread+2] = '\0'; nread++; } else if (c != EOF) ungetc (c, stream); } else { if (c != EOF) ungetc (c, stream); str = extract_string (stream); nread += strlen (str); } inex = mpc_set_str (rop, str, base, rnd_mode); mpc_free_str (str); } error: if (inex == -1) { mpfr_set_nan (mpc_realref(rop)); mpfr_set_nan (mpc_imagref(rop)); } if (read != NULL) *read = white + nread; return inex; } mpc-1.3.1/src/tanh.c0000644000175100017460000000320012426164730011107 00000000000000/* mpc_tanh -- hyperbolic tangent of a complex number. Copyright (C) 2008, 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_tanh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* tanh(op) = -i*tan(i*op) = conj(-i*tan(conj(-i*op))) */ mpc_t z; mpc_t tan_z; int inex; /* z := conj(-i * op) and rop = conj(-i * tan(z)), in other words, we have to switch real and imaginary parts. Let us set them without copying significands. */ mpc_realref (z)[0] = mpc_imagref (op)[0]; mpc_imagref (z)[0] = mpc_realref (op)[0]; mpc_realref (tan_z)[0] = mpc_imagref (rop)[0]; mpc_imagref (tan_z)[0] = mpc_realref (rop)[0]; inex = mpc_tan (tan_z, z, MPC_RND (MPC_RND_IM (rnd), MPC_RND_RE (rnd))); /* tan_z and rop parts share the same significands, copy the rest now. */ mpc_realref (rop)[0] = mpc_imagref (tan_z)[0]; mpc_imagref (rop)[0] = mpc_realref (tan_z)[0]; /* swap inexact flags for real and imaginary parts */ return MPC_INEX (MPC_INEX_IM (inex), MPC_INEX_RE (inex)); } mpc-1.3.1/src/div_2ui.c0000644000175100017460000000206412426164730011525 00000000000000/* mpc_div_2ui -- Divide a complex number by 2^e. Copyright (C) 2002, 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_div_2ui (mpc_ptr a, mpc_srcptr b, unsigned long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_div_2ui (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_div_2ui (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/norm.c0000644000175100017460000001564613227377425011160 00000000000000/* mpc_norm -- Square of the norm of a complex number. Copyright (C) 2002, 2005, 2008, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" /* a <- norm(b) = b * conj(b) (the rounding mode is mpfr_rnd_t here since we return an mpfr number) */ int mpc_norm (mpfr_ptr a, mpc_srcptr b, mpfr_rnd_t rnd) { int inexact; int saved_underflow, saved_overflow; /* handling of special values; consistent with abs in that norm = abs^2; so norm (+-inf, xxx) = norm (xxx, +-inf) = +inf */ if (!mpc_fin_p (b)) return mpc_abs (a, b, rnd); else if (mpfr_zero_p (mpc_realref (b))) { if (mpfr_zero_p (mpc_imagref (b))) return mpfr_set_ui (a, 0, rnd); /* +0 */ else return mpfr_sqr (a, mpc_imagref (b), rnd); } else if (mpfr_zero_p (mpc_imagref (b))) return mpfr_sqr (a, mpc_realref (b), rnd); /* Re(b) <> 0 */ else /* everything finite and non-zero */ { mpfr_t u, v, res; mpfr_prec_t prec, prec_u, prec_v; int loops; const int max_loops = 2; /* switch to exact squarings when loops==max_loops */ prec = mpfr_get_prec (a); mpfr_init (u); mpfr_init (v); mpfr_init (res); /* save the underflow or overflow flags from MPFR */ saved_underflow = mpfr_underflow_p (); saved_overflow = mpfr_overflow_p (); loops = 0; mpfr_clear_underflow (); mpfr_clear_overflow (); do { loops++; prec += mpc_ceil_log2 (prec) + 3; if (loops >= max_loops) { prec_u = 2 * MPC_PREC_RE (b); prec_v = 2 * MPC_PREC_IM (b); } else { prec_u = MPC_MIN (prec, 2 * MPC_PREC_RE (b)); prec_v = MPC_MIN (prec, 2 * MPC_PREC_IM (b)); } mpfr_set_prec (u, prec_u); mpfr_set_prec (v, prec_v); inexact = mpfr_sqr (u, mpc_realref(b), MPFR_RNDD); /* err <= 1 ulp in prec */ inexact |= mpfr_sqr (v, mpc_imagref(b), MPFR_RNDD); /* err <= 1 ulp in prec */ /* If loops = max_loops, inexact should be 0 here, except in case of underflow or overflow. If loops < max_loops and inexact is zero, we can exit the while-loop since it only remains to add u and v into a. */ if (inexact) { mpfr_set_prec (res, prec); mpfr_add (res, u, v, MPFR_RNDD); /* err <= 3 ulp in prec */ } } while (loops < max_loops && inexact != 0 && !mpfr_can_round (res, prec - 2, MPFR_RNDD, MPFR_RNDU, mpfr_get_prec (a) + (rnd == MPFR_RNDN))); if (!inexact) /* squarings were exact, neither underflow nor overflow */ inexact = mpfr_add (a, u, v, rnd); /* if there was an overflow in Re(b)^2 or Im(b)^2 or their sum, since the norm is larger, there is an overflow for the norm */ else if (mpfr_overflow_p ()) { /* replace by "correctly rounded overflow" */ mpfr_set_ui (a, 1ul, MPFR_RNDN); inexact = mpfr_mul_2ui (a, a, mpfr_get_emax (), rnd); } else if (mpfr_underflow_p ()) { /* necessarily one of the squarings did underflow (otherwise their sum could not underflow), thus one of u, v is zero. */ mpfr_exp_t emin = mpfr_get_emin (); /* Now either both u and v are zero, or u is zero and v exact, or v is zero and u exact. In the latter case, Im(b)^2 < 2^(emin-1). If ulp(u) >= 2^(emin+1) and norm(b) is not exactly representable at the target precision, then rounding u+Im(b)^2 is equivalent to rounding u+2^(emin-1). For instance, if exp(u)>0 and the target precision is smaller than about |emin|, the norm is not representable. To make the scaling in the "else" case work without underflow, we test whether exp(u) is larger than a small negative number instead. The second case is handled analogously. */ if (!mpfr_zero_p (u) && mpfr_get_exp (u) - 2 * (mpfr_exp_t) prec_u > emin && mpfr_get_exp (u) > -10) { mpfr_set_prec (v, MPFR_PREC_MIN); mpfr_set_ui_2exp (v, 1, emin - 1, MPFR_RNDZ); inexact = mpfr_add (a, u, v, rnd); } else if (!mpfr_zero_p (v) && mpfr_get_exp (v) - 2 * (mpfr_exp_t) prec_v > emin && mpfr_get_exp (v) > -10) { mpfr_set_prec (u, MPFR_PREC_MIN); mpfr_set_ui_2exp (u, 1, emin - 1, MPFR_RNDZ); inexact = mpfr_add (a, u, v, rnd); } else { unsigned long int scale, exp_re, exp_im; int inex_underflow; /* scale the input to an average exponent close to 0 */ exp_re = (unsigned long int) (-mpfr_get_exp (mpc_realref (b))); exp_im = (unsigned long int) (-mpfr_get_exp (mpc_imagref (b))); scale = exp_re / 2 + exp_im / 2 + (exp_re % 2 + exp_im % 2) / 2; /* (exp_re + exp_im) / 2, computed in a way avoiding integer overflow */ if (mpfr_zero_p (u)) { /* recompute the scaled value exactly */ mpfr_mul_2ui (u, mpc_realref (b), scale, MPFR_RNDN); mpfr_sqr (u, u, MPFR_RNDN); } else /* just scale */ mpfr_mul_2ui (u, u, 2*scale, MPFR_RNDN); if (mpfr_zero_p (v)) { mpfr_mul_2ui (v, mpc_imagref (b), scale, MPFR_RNDN); mpfr_sqr (v, v, MPFR_RNDN); } else mpfr_mul_2ui (v, v, 2*scale, MPFR_RNDN); inexact = mpfr_add (a, u, v, rnd); mpfr_clear_underflow (); inex_underflow = mpfr_div_2ui (a, a, 2*scale, rnd); if (mpfr_underflow_p ()) inexact = inex_underflow; } } else /* no problems, ternary value due to mpfr_can_round trick */ inexact = mpfr_set (a, res, rnd); /* restore underflow and overflow flags from MPFR */ if (saved_underflow) mpfr_set_underflow (); if (saved_overflow) mpfr_set_overflow (); mpfr_clear (u); mpfr_clear (v); mpfr_clear (res); } return inexact; } mpc-1.3.1/src/clear.c0000644000175100017460000000153214345571363011257 00000000000000/* mpc_clear -- Clear a complex variable. Copyright (C) 2002, 2009, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" void mpc_clear (mpc_ptr x) { mpfr_clear (mpc_realref(x)); mpfr_clear (mpc_imagref(x)); } mpc-1.3.1/src/init2.c0000644000175100017460000000162414345571363011220 00000000000000/* mpc_init2 -- Initialize a complex variable with a given precision. Copyright (C) 2002, 2009, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" void mpc_init2 (mpc_ptr x, mpfr_prec_t prec) { mpfr_init2 (mpc_realref(x), prec); mpfr_init2 (mpc_imagref(x), prec); } mpc-1.3.1/src/abs.c0000644000175100017460000000170312426164730010730 00000000000000/* mpc_abs -- Absolute value of a complex number. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* the rounding mode is mpfr_rnd_t here since we return an mpfr number */ int mpc_abs (mpfr_ptr a, mpc_srcptr b, mpfr_rnd_t rnd) { return mpfr_hypot (a, mpc_realref(b), mpc_imagref(b), rnd); } mpc-1.3.1/src/sub_fr.c0000644000175100017460000000220512426164730011441 00000000000000/* mpc_sub_fr -- Substract a floating-point number to the real part of a complex number. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff both the real and imaginary parts are exact */ int mpc_sub_fr (mpc_ptr a, mpc_srcptr b, mpfr_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_sub (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/set.c0000644000175100017460000000202512426164730010754 00000000000000/* mpc_set -- Set a complex number from another complex number. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_set (mpc_ptr a, mpc_srcptr b, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_set (mpc_realref(a), mpc_realref(b), MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/cmp_abs.c0000644000175100017460000000646513227377425011610 00000000000000/* mpc_cmp -- Compare two complex numbers. Copyright (C) 2016 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return mpfr_cmp (mpc_abs (a), mpc_abs (b)) */ int mpc_cmp_abs (mpc_srcptr a, mpc_srcptr b) { mpc_t z1, z2; mpfr_t n1, n2; mpfr_prec_t prec; int inex1, inex2, ret; /* Handle numbers containing one NaN as mpfr_cmp. */ if ( mpfr_nan_p (mpc_realref (a)) || mpfr_nan_p (mpc_imagref (a)) || mpfr_nan_p (mpc_realref (b)) || mpfr_nan_p (mpc_imagref (b))) { mpfr_t nan; mpfr_init (nan); mpfr_set_nan (nan); ret = mpfr_cmp (nan, nan); mpfr_clear (nan); return ret; } /* Handle infinities. */ if (mpc_inf_p (a)) if (mpc_inf_p (b)) return 0; else return 1; else if (mpc_inf_p (b)) return -1; /* Replace all parts of a and b by their absolute values, then order them by size. */ z1 [0] = a [0]; z2 [0] = b [0]; if (mpfr_signbit (mpc_realref (a))) MPFR_CHANGE_SIGN (mpc_realref (z1)); if (mpfr_signbit (mpc_imagref (a))) MPFR_CHANGE_SIGN (mpc_imagref (z1)); if (mpfr_signbit (mpc_realref (b))) MPFR_CHANGE_SIGN (mpc_realref (z2)); if (mpfr_signbit (mpc_imagref (b))) MPFR_CHANGE_SIGN (mpc_imagref (z2)); if (mpfr_cmp (mpc_realref (z1), mpc_imagref (z1)) > 0) mpfr_swap (mpc_realref (z1), mpc_imagref (z1)); if (mpfr_cmp (mpc_realref (z2), mpc_imagref (z2)) > 0) mpfr_swap (mpc_realref (z2), mpc_imagref (z2)); /* Handle cases in which only one part differs. */ if (mpfr_cmp (mpc_realref (z1), mpc_realref (z2)) == 0) return mpfr_cmp (mpc_imagref (z1), mpc_imagref (z2)); if (mpfr_cmp (mpc_imagref (z1), mpc_imagref (z2)) == 0) return mpfr_cmp (mpc_realref (z1), mpc_realref (z2)); /* Implement the algorithm in algorithms.tex. */ mpfr_init (n1); mpfr_init (n2); prec = MPC_MAX (50, MPC_MAX (MPC_MAX_PREC (z1), MPC_MAX_PREC (z2)) / 100); do { mpfr_set_prec (n1, prec); mpfr_set_prec (n2, prec); inex1 = mpc_norm (n1, z1, MPFR_RNDD); inex2 = mpc_norm (n2, z2, MPFR_RNDD); ret = mpfr_cmp (n1, n2); if (ret != 0) goto end; else if (inex1 == 0) /* n1 = norm(z1) */ if (inex2) /* n2 < norm(z2) */ { ret = -1; goto end; } else /* n2 = norm(z2) */ { ret = 0; goto end; } else /* n1 < norm(z1) */ if (inex2 == 0) { ret = 1; goto end; } prec *= 2; } while (1); end: mpfr_clear (n1); mpfr_clear (n2); return ret; } mpc-1.3.1/src/get_version.c0000644000175100017460000000151514346567577012533 00000000000000/* mpc_get_version -- MPC version Copyright (C) 2008, 2009, 2010, 2011, 2012, 2017, 2018, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" const char * mpc_get_version (void) { return "1.3.1"; } mpc-1.3.1/src/radius.c0000644000175100017460000004743714346567577011513 00000000000000/* radius -- Functions for radii of complex balls. Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include /* for the PRIi64 format modifier */ #include /* for FILE */ #include "mpc-impl.h" #define MPCR_MANT(r) ((r)->mant) #define MPCR_EXP(r) ((r)->exp) #define MPCR_MANT_MIN (((int64_t) 1) << 30) #define MPCR_MANT_MAX (MPCR_MANT_MIN << 1) /* The radius can take three types of values, represented as follows: infinite: the mantissa is -1 and the exponent is undefined; 0: the mantissa and the exponent are 0; positive: the mantissa is a positive integer, and the radius is mantissa*2^exponent. A normalised positive radius "has 31 bits", in the sense that the bits 0 to 29 are arbitrary, bit 30 is 1, and bits 31 to 63 are 0; otherwise said, the mantissa lies between 2^30 and 2^31-1. Unless stated otherwise, all functions take normalised inputs and produce normalised output; they compute only upper bounds on the radii, without guaranteeing that these are tight. */ static void mpcr_add_one_ulp (mpcr_ptr r) /* Add 1 to the mantissa of the normalised r and renormalise. */ { MPCR_MANT (r)++; if (MPCR_MANT (r) == MPCR_MANT_MAX) { MPCR_MANT (r) >>= 1; MPCR_EXP (r)++; } } static unsigned int leading_bit (int64_t n) /* Assuming that n is a positive integer, return the position (from 0 to 62) of the leading bit, that is, the k such that n >= 2^k, but n < 2^(k+1). */ { unsigned int k; if (n & (((uint64_t) 0x7fffffff) << 32)) if (n & (((uint64_t) 0x7fff) << 48)) if (n & (((uint64_t) 0x7f) << 56)) if (n & (((uint64_t) 0x7) << 60)) if (n & (((uint64_t) 0x1) << 62)) k = 62; else if (n & (((uint64_t) 0x1) << 61)) k = 61; else k = 60; else if (n & (((uint64_t) 0x3) << 58)) if (n & (((uint64_t) 0x1) << 59)) k = 59; else k = 58; else if (n & (((uint64_t) 0x1) << 57)) k = 57; else k = 56; else if (n & (((uint64_t) 0xf) << 52)) if (n & (((uint64_t) 0x3) << 54)) if (n & (((uint64_t) 0x1) << 55)) k = 55; else k = 54; else if (n & (((uint64_t) 0x1) << 53)) k = 53; else k = 52; else if (n & (((uint64_t) 0x3) << 50)) if (n & (((uint64_t) 0x1) << 51)) k = 51; else k = 50; else if (n & (((uint64_t) 0x1) << 49)) k = 49; else k = 48; else if (n & (((uint64_t) 0xff) << 40)) if (n & (((uint64_t) 0xf) << 44)) if (n & (((uint64_t) 0x3) << 46)) if (n & (((uint64_t) 0x1) << 47)) k = 47; else k = 46; else if (n & (((uint64_t) 0x1) << 45)) k = 45; else k = 44; else if (n & (((uint64_t) 0x3) << 42)) if (n & (((uint64_t) 0x1) << 43)) k = 43; else k = 42; else if (n & (((uint64_t) 0x1) << 41)) k = 41; else k = 40; else if (n & (((uint64_t) 0xf) << 36)) if (n & (((uint64_t) 0x3) << 38)) if (n & (((uint64_t) 0x1) << 39)) k = 39; else k = 38; else if (n & (((uint64_t) 0x1) << 37)) k = 37; else k = 36; else if (n & (((uint64_t) 0x3) << 34)) if (n & (((uint64_t) 0x1) << 35)) k = 35; else k = 34; else if (n & (((uint64_t) 0x1) << 33)) k = 33; else k = 32; else if (n & (((uint64_t) 0xffff) << 16)) if (n & (((uint64_t) 0xff) << 24)) if (n & (((uint64_t) 0xf) << 28)) if (n & (((uint64_t) 0x3) << 30)) if (n & (((uint64_t) 0x1) << 31)) k = 31; else k = 30; else if (n & (((uint64_t) 0x1) << 29)) k = 29; else k = 28; else if (n & (((uint64_t) 0x3) << 26)) if (n & (((uint64_t) 0x1) << 27)) k = 27; else k = 26; else if (n & (((uint64_t) 0x1) << 25)) k = 25; else k = 24; else if (n & (((uint64_t) 0xf) << 20)) if (n & (((uint64_t) 0x3) << 22)) if (n & (((uint64_t) 0x1) << 23)) k = 23; else k = 22; else if (n & (((uint64_t) 0x1) << 21)) k = 21; else k = 20; else if (n & (((uint64_t) 0x3) << 18)) if (n & (((uint64_t) 0x1) << 19)) k = 19; else k = 18; else if (n & (((uint64_t) 0x1) << 17)) k = 17; else k = 16; else if (n & (((uint64_t) 0xff) << 8)) if (n & (((uint64_t) 0xf) << 12)) if (n & (((uint64_t) 0x3) << 14)) if (n & (((uint64_t) 0x1) << 15)) k = 15; else k = 14; else if (n & (((uint64_t) 0x1) << 13)) k = 13; else k = 12; else if (n & (((uint64_t) 0x3) << 10)) if (n & (((uint64_t) 0x1) << 11)) k = 11; else k = 10; else if (n & (((uint64_t) 0x1) << 9)) k = 9; else k = 8; else if (n & (((uint64_t) 0xf) << 4)) if (n & (((uint64_t) 0x3) << 6)) if (n & (((uint64_t) 0x1) << 7)) k = 7; else k = 6; else if (n & (((uint64_t) 0x1) << 5)) k = 5; else k = 4; else if (n & (((uint64_t) 0x3) << 2)) if (n & (((uint64_t) 0x1) << 3)) k = 3; else k = 2; else if (n & (((uint64_t) 0x1) << 1)) k = 1; else k = 0; return k; } static void mpcr_normalise_rnd (mpcr_ptr r, mpfr_rnd_t rnd) /* The function computes a normalised value for the potentially unnormalised r; depending on whether rnd is MPFR_RNDU or MPFR_RNDD, the result is rounded up or down. For efficiency reasons, rounding up does not take exact cases into account and adds one ulp anyway. */ { unsigned int k; if (mpcr_zero_p (r)) MPCR_EXP (r) = 0; else if (!mpcr_inf_p (r)) { k = leading_bit (MPCR_MANT (r)); if (k <= 30) { MPCR_MANT (r) <<= 30 - k; MPCR_EXP (r) -= 30 - k; } else { MPCR_MANT (r) >>= k - 30; MPCR_EXP (r) += k - 30; if (rnd == MPFR_RNDU) mpcr_add_one_ulp (r); } } } static void mpcr_normalise (mpcr_ptr r) /* The potentially unnormalised r is normalised with rounding up. */ { mpcr_normalise_rnd (r, MPFR_RNDU); } int mpcr_inf_p (mpcr_srcptr r) { return MPCR_MANT (r) == -1; } int mpcr_zero_p (mpcr_srcptr r) { return MPCR_MANT (r) == 0; } int mpcr_lt_half_p (mpcr_srcptr r) /* Return true if r < 1/2, false otherwise. */ { return mpcr_zero_p (r) || MPCR_EXP (r) < -31; } int mpcr_cmp (mpcr_srcptr r, mpcr_srcptr s) { if (mpcr_inf_p (r)) if (mpcr_inf_p (s)) return 0; else return +1; else if (mpcr_inf_p (s)) return -1; else if (mpcr_zero_p (r)) if (mpcr_zero_p (s)) return 0; else return -1; else if (mpcr_zero_p (s)) return +1; else if (MPCR_EXP (r) > MPCR_EXP (s)) return +1; else if (MPCR_EXP (r) < MPCR_EXP (s)) return -1; else if (MPCR_MANT (r) > MPCR_MANT (s)) return +1; else if (MPCR_MANT (r) < MPCR_MANT (s)) return -1; else return 0; } void mpcr_set_inf (mpcr_ptr r) { MPCR_MANT (r) = -1; } void mpcr_set_zero (mpcr_ptr r) { MPCR_MANT (r) = 0; MPCR_EXP (r) = 0; } void mpcr_set_one (mpcr_ptr r) { MPCR_MANT (r) = ((int64_t) 1) << 30; MPCR_EXP (r) = -30; } void mpcr_set (mpcr_ptr r, mpcr_srcptr s) { r [0] = s [0]; } void mpcr_set_ui64_2si64 (mpcr_ptr r, uint64_t mant, int64_t exp) /* Set r to mant*2^exp, rounded up. */ { if (mant == 0) mpcr_set_zero (r); else { if (mant >= ((uint64_t) 1) << 63) { if (mant % 2 == 0) mant = mant / 2; else mant = mant / 2 + 1; exp++; } MPCR_MANT (r) = (int64_t) mant; MPCR_EXP (r) = exp; mpcr_normalise (r); } } void mpcr_max (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t) /* Set r to the maximum of s and t. */ { if (mpcr_inf_p (s) || mpcr_inf_p (t)) mpcr_set_inf (r); else if (mpcr_zero_p (s)) mpcr_set (r, t); else if (mpcr_zero_p (t)) mpcr_set (r, s); else if (MPCR_EXP (s) < MPCR_EXP (t)) mpcr_set (r, t); else if (MPCR_EXP (s) > MPCR_EXP (t)) mpcr_set (r, s); else if (MPCR_MANT (s) < MPCR_MANT (t)) mpcr_set (r, t); else mpcr_set (r, s); } int64_t mpcr_get_exp (mpcr_srcptr r) /* Return the exponent e such that r = m * 2^e with m such that 0.5 <= m < 1. */ { return MPCR_EXP (r) + 31; } void mpcr_out_str (FILE *f, mpcr_srcptr r) { if (mpcr_inf_p (r)) fprintf (f, "∞"); else if (mpcr_zero_p (r)) fprintf (f, "0"); else { fprintf (f, "±(%" PRIi64 ", %" PRIi64 ")", MPCR_MANT (r), MPCR_EXP (r)); } } static void mpcr_mul_rnd (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t, mpfr_rnd_t rnd) /* Set r to the product of s and t, rounded according to whether rnd is MPFR_RNDU or MPFR_RNDD. */ { if (mpcr_inf_p (s) || mpcr_inf_p (t)) mpcr_set_inf (r); else if (mpcr_zero_p (s) || mpcr_zero_p (t)) mpcr_set_zero (r); else { MPCR_MANT (r) = MPCR_MANT (s) * MPCR_MANT (t); MPCR_EXP (r) = MPCR_EXP (s) + MPCR_EXP (t); mpcr_normalise_rnd (r, rnd); } } void mpcr_mul (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t) { mpcr_mul_rnd (r, s, t, MPFR_RNDU); } void mpcr_mul_2ui (mpcr_ptr r, mpcr_srcptr s, unsigned long int e) { if (mpcr_inf_p (s)) mpcr_set_inf (r); else if (mpcr_zero_p (s)) mpcr_set_zero (r); else { MPCR_MANT (r) = MPCR_MANT (s); MPCR_EXP (r) = MPCR_EXP (s) + (int64_t) e; } } void mpcr_sqr (mpcr_ptr r, mpcr_srcptr s) { mpcr_mul_rnd (r, s, s, MPFR_RNDU); } static void mpcr_add_rnd (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t, mpfr_rnd_t rnd) /* Set r to the sum of s and t, rounded according to whether rnd is MPFR_RNDU or MPFR_RNDD. The function also works correctly for certain non-normalised arguments s and t as long as the sum of their (potentially shifted if the exponents are not the same) mantissae does not flow over into the sign bit of the resulting mantissa. This is in particular the case when the mantissae of s and t start with the bits 00, that is, are less than 2^62, for instance because they are the results of multiplying two normalised mantissae together, so that an fmma function can be implemented without intermediate normalisation of the products. */ { int64_t d; if (mpcr_inf_p (s) || mpcr_inf_p (t)) mpcr_set_inf (r); else if (mpcr_zero_p (s)) mpcr_set (r, t); else if (mpcr_zero_p (t)) mpcr_set (r, s); else { /* Now all numbers are finite and non-zero. */ d = MPCR_EXP (s) - MPCR_EXP (t); if (d >= 0) { if (d >= 64) /* Shifting by more than the bitlength of the type may cause compiler warnings and run time errors. */ MPCR_MANT (r) = MPCR_MANT (s); else MPCR_MANT (r) = MPCR_MANT (s) + (MPCR_MANT (t) >> d); MPCR_EXP (r) = MPCR_EXP (s); } else { if (d <= -64) MPCR_MANT (r) = MPCR_MANT (t); else MPCR_MANT (r) = MPCR_MANT (t) + (MPCR_MANT (s) >> (-d)); MPCR_EXP (r) = MPCR_EXP (t); } if (rnd == MPFR_RNDU) MPCR_MANT (r)++; mpcr_normalise_rnd (r, rnd); } } void mpcr_add (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t) { mpcr_add_rnd (r, s, t, MPFR_RNDU); } void mpcr_sub_rnd (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t, mpfr_rnd_t rnd) /* Set r to s - t, rounded according to whether rnd is MPFR_RNDU or MPFR_RNDD; if the result were negative, it is set to infinity. */ { int64_t d; int cmp; cmp = mpcr_cmp (s, t); if (mpcr_inf_p (s) || mpcr_inf_p (t) || cmp < 0) mpcr_set_inf (r); else if (cmp == 0) mpcr_set_zero (r); else if (mpcr_zero_p (t)) mpcr_set (r, s); else { /* Now all numbers are positive and normalised, and s > t. */ d = MPCR_EXP (s) - MPCR_EXP (t); if (d >= 64) MPCR_MANT (r) = MPCR_MANT (s); else MPCR_MANT (r) = MPCR_MANT (s) - (MPCR_MANT (t) >> d); MPCR_EXP (r) = MPCR_EXP (s); if (rnd == MPFR_RNDD) MPCR_MANT (r)--; mpcr_normalise_rnd (r, rnd); } } void mpcr_sub (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t) { mpcr_sub_rnd (r, s, t, MPFR_RNDU); } void mpcr_div (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t) { if (mpcr_inf_p (s) || mpcr_inf_p (t) || mpcr_zero_p (t)) mpcr_set_inf (r); else if (mpcr_zero_p (s)) mpcr_set_zero (r); else { MPCR_MANT (r) = (MPCR_MANT (s) << 32) / MPCR_MANT (t) + 1; MPCR_EXP (r) = MPCR_EXP (s) - 32 - MPCR_EXP (t); mpcr_normalise (r); } } void mpcr_div_2ui (mpcr_ptr r, mpcr_srcptr s, unsigned long int e) { if (mpcr_inf_p (s)) mpcr_set_inf (r); else if (mpcr_zero_p (s)) mpcr_set_zero (r); else { MPCR_MANT (r) = MPCR_MANT (s); MPCR_EXP (r) = MPCR_EXP (s) - (int64_t) e; } } int64_t sqrt_int64 (int64_t n) /* Assuming that 2^30 <= n < 2^32, return ceil (sqrt (n*2^30)). */ { uint64_t N, s, t; int i; /* We use the "Babylonian" method to compute an integer square root of N; replacing the geometric mean sqrt (N) = sqrt (s * N/s) by the arithmetic mean (s + N/s) / 2, rounded up, we obtain an upper bound on the square root. */ N = ((uint64_t) n) << 30; s = ((uint64_t) 1) << 31; for (i = 0; i < 5; i++) { t = s << 1; s = (s * s + N + t - 1) / t; } /* Exhaustive search over all possible values of n shows that with 6 or more iterations, the method computes ceil (sqrt (N)) except for squares N, where it stabilises on sqrt (N) + 1. So we need to add a check for s-1; it turns out that then 5 iterations are enough. */ if ((s - 1) * (s - 1) >= N) return s - 1; else return s; } static void mpcr_sqrt_rnd (mpcr_ptr r, mpcr_srcptr s, mpfr_rnd_t rnd) /* Set r to the square root of s, rounded according to whether rnd is MPFR_RNDU or MPFR_RNDD. */ { if (mpcr_inf_p (s)) mpcr_set_inf (r); else if (mpcr_zero_p (s)) mpcr_set_zero (r); else { if (MPCR_EXP (s) % 2 == 0) { MPCR_MANT (r) = sqrt_int64 (MPCR_MANT (s)); MPCR_EXP (r) = MPCR_EXP (s) / 2 - 15; } else { MPCR_MANT (r) = sqrt_int64 (2 * MPCR_MANT (s)); MPCR_EXP (r) = (MPCR_EXP (s) - 1) / 2 - 15; } /* Now we have 2^30 <= r < 2^31, so r is normalised; if r == 2^30, then furthermore the square root was exact, so we do not need to subtract 1 ulp when rounding down and preserve normalisation. */ if (rnd == MPFR_RNDD && MPCR_MANT (r) != ((int64_t) 1) << 30) MPCR_MANT (r)--; } } void mpcr_sqrt (mpcr_ptr r, mpcr_srcptr s) { mpcr_sqrt_rnd (r, s, MPFR_RNDU); } static void mpcr_set_d_rnd (mpcr_ptr r, double d, mpfr_rnd_t rnd) /* Assuming that d is a positive double, set r to d rounded according to rnd, which can be one of MPFR_RNDU or MPFR_RNDD. */ { double frac; int e; frac = frexp (d, &e); MPCR_MANT (r) = (int64_t) (frac * (((int64_t) 1) << 53)); MPCR_EXP (r) = e - 53; mpcr_normalise_rnd (r, rnd); } static void mpcr_f_abs_rnd (mpcr_ptr r, mpfr_srcptr z, mpfr_rnd_t rnd) /* Set r to the absolute value of z, rounded according to rnd, which can be one of MPFR_RNDU or MPFR_RNDD. */ { double d; int neg; neg = mpfr_cmp_ui (z, 0); if (neg == 0) mpcr_set_zero (r); else { if (rnd == MPFR_RNDU) d = mpfr_get_d (z, MPFR_RNDA); else d = mpfr_get_d (z, MPFR_RNDZ); if (d < 0) d = -d; mpcr_set_d_rnd (r, d, rnd); } } void mpcr_add_rounding_error (mpcr_ptr r, mpfr_prec_t p, mpfr_rnd_t rnd) /* Replace r, radius of a complex ball, by the new radius obtained after rounding both parts of the centre of the ball in direction rnd at precision t. Otherwise said: r += ldexp (1 + r, -p) for rounding to nearest, adding 0.5ulp; r += ldexp (1 + r, 1-p) for directed rounding, adding 1ulp. */ { mpcr_t s; mpcr_set_one (s); mpcr_add (s, s, r); if (rnd == MPFR_RNDN) mpcr_div_2ui (s, s, p); else mpcr_div_2ui (s, s, p-1); mpcr_add (r, r, s); } void mpcr_c_abs_rnd (mpcr_ptr r, mpc_srcptr z, mpfr_rnd_t rnd) /* Compute a bound on mpc_abs (z) in r. rnd can take either of the values MPFR_RNDU and MPFR_RNDD, and the function computes an upper or a lower bound, respectively. */ { mpcr_t re, im, u; mpcr_f_abs_rnd (re, mpc_realref (z), rnd); mpcr_f_abs_rnd (im, mpc_imagref (z), rnd); if (mpcr_zero_p (re)) mpcr_set (r, im); else if (mpcr_zero_p (im)) mpcr_set (r, re); else { /* Squarings can be done exactly. */ MPCR_MANT (u) = MPCR_MANT (re) * MPCR_MANT (re); MPCR_EXP (u) = 2 * MPCR_EXP (re); MPCR_MANT (r) = MPCR_MANT (im) * MPCR_MANT (im); MPCR_EXP (r) = 2 * MPCR_EXP (im); /* Additions still fit. */ mpcr_add_rnd (r, r, u, rnd); mpcr_sqrt_rnd (r, r, rnd); } } mpc-1.3.1/src/mul.c0000644000175100017460000004113714345571363010773 00000000000000/* mpc_mul -- Multiply two complex numbers Copyright (C) 2002, 2004, 2005, 2008, 2009, 2010, 2011, 2012, 2016, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under he terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" #define mpz_add_si(z,x,y) do { \ if (y >= 0) \ mpz_add_ui (z, x, (long int) y); \ else \ mpz_sub_ui (z, x, (long int) (-y)); \ } while (0); /* compute z=x*y when x has an infinite part */ static int mul_infinite (mpc_ptr z, mpc_srcptr x, mpc_srcptr y) { /* Let x=xr+i*xi and y=yr+i*yi; extract the signs of the operands */ int xrs = mpfr_signbit (mpc_realref (x)) ? -1 : 1; int xis = mpfr_signbit (mpc_imagref (x)) ? -1 : 1; int yrs = mpfr_signbit (mpc_realref (y)) ? -1 : 1; int yis = mpfr_signbit (mpc_imagref (y)) ? -1 : 1; int u, v; /* compute the sign of u = xrs * yrs * xr * yr - xis * yis * xi * yi v = xrs * yis * xr * yi + xis * yrs * xi * yr +1 if positive, -1 if negative, 0 if NaN */ if ( mpfr_nan_p (mpc_realref (x)) || mpfr_nan_p (mpc_imagref (x)) || mpfr_nan_p (mpc_realref (y)) || mpfr_nan_p (mpc_imagref (y))) { u = 0; v = 0; } else if (mpfr_inf_p (mpc_realref (x))) { /* x = (+/-inf) xr + i*xi */ u = ( mpfr_zero_p (mpc_realref (y)) || (mpfr_inf_p (mpc_imagref (x)) && mpfr_zero_p (mpc_imagref (y))) || (mpfr_zero_p (mpc_imagref (x)) && mpfr_inf_p (mpc_imagref (y))) || ( (mpfr_inf_p (mpc_imagref (x)) || mpfr_inf_p (mpc_imagref (y))) && xrs*yrs == xis*yis) ? 0 : xrs * yrs); v = ( mpfr_zero_p (mpc_imagref (y)) || (mpfr_inf_p (mpc_imagref (x)) && mpfr_zero_p (mpc_realref (y))) || (mpfr_zero_p (mpc_imagref (x)) && mpfr_inf_p (mpc_realref (y))) || ( (mpfr_inf_p (mpc_imagref (x)) || mpfr_inf_p (mpc_imagref (x))) && xrs*yis != xis*yrs) ? 0 : xrs * yis); } else { /* x = xr + i*(+/-inf) with |xr| != inf */ u = ( mpfr_zero_p (mpc_imagref (y)) || (mpfr_zero_p (mpc_realref (x)) && mpfr_inf_p (mpc_realref (y))) || (mpfr_inf_p (mpc_realref (y)) && xrs*yrs == xis*yis) ? 0 : -xis * yis); v = ( mpfr_zero_p (mpc_realref (y)) || (mpfr_zero_p (mpc_realref (x)) && mpfr_inf_p (mpc_imagref (y))) || (mpfr_inf_p (mpc_imagref (y)) && xrs*yis != xis*yrs) ? 0 : xis * yrs); } if (u == 0 && v == 0) { /* Naive result is NaN+i*NaN. Obtain an infinity using the algorithm given in Annex G.5.1 of the ISO C99 standard */ int xr = (mpfr_zero_p (mpc_realref (x)) || mpfr_nan_p (mpc_realref (x)) ? 0 : (mpfr_inf_p (mpc_realref (x)) ? 1 : 0)); int xi = (mpfr_zero_p (mpc_imagref (x)) || mpfr_nan_p (mpc_imagref (x)) ? 0 : (mpfr_inf_p (mpc_imagref (x)) ? 1 : 0)); int yr = (mpfr_zero_p (mpc_realref (y)) || mpfr_nan_p (mpc_realref (y)) ? 0 : 1); int yi = (mpfr_zero_p (mpc_imagref (y)) || mpfr_nan_p (mpc_imagref (y)) ? 0 : 1); if (mpc_inf_p (y)) { yr = mpfr_inf_p (mpc_realref (y)) ? 1 : 0; yi = mpfr_inf_p (mpc_imagref (y)) ? 1 : 0; } u = xrs * xr * yrs * yr - xis * xi * yis * yi; v = xrs * xr * yis * yi + xis * xi * yrs * yr; } if (u == 0) mpfr_set_nan (mpc_realref (z)); else mpfr_set_inf (mpc_realref (z), u); if (v == 0) mpfr_set_nan (mpc_imagref (z)); else mpfr_set_inf (mpc_imagref (z), v); return MPC_INEX (0, 0); /* exact */ } /* compute z = x*y for Im(y) == 0 */ static int mul_real (mpc_ptr z, mpc_srcptr x, mpc_srcptr y, mpc_rnd_t rnd) { int xrs, xis, yrs, yis; int inex; /* save signs of operands */ xrs = MPFR_SIGNBIT (mpc_realref (x)); xis = MPFR_SIGNBIT (mpc_imagref (x)); yrs = MPFR_SIGNBIT (mpc_realref (y)); yis = MPFR_SIGNBIT (mpc_imagref (y)); inex = mpc_mul_fr (z, x, mpc_realref (y), rnd); /* Signs of zeroes may be wrong. Their correction does not change the inexact flag. */ if (mpfr_zero_p (mpc_realref (z))) mpfr_setsign (mpc_realref (z), mpc_realref (z), MPC_RND_RE(rnd) == MPFR_RNDD || (xrs != yrs && xis == yis), MPFR_RNDN); if (mpfr_zero_p (mpc_imagref (z))) mpfr_setsign (mpc_imagref (z), mpc_imagref (z), MPC_RND_IM (rnd) == MPFR_RNDD || (xrs != yis && xis != yrs), MPFR_RNDN); return inex; } /* compute z = x*y for Re(y) == 0, and Im(x) != 0 and Im(y) != 0 */ static int mul_imag (mpc_ptr z, mpc_srcptr x, mpc_srcptr y, mpc_rnd_t rnd) { int sign; int inex_re, inex_im; int overlap = z == x || z == y; mpc_t rop; if (overlap) mpc_init3 (rop, MPC_PREC_RE (z), MPC_PREC_IM (z)); else rop [0] = z[0]; sign = (MPFR_SIGNBIT (mpc_realref (y)) != MPFR_SIGNBIT (mpc_imagref (x))) && (MPFR_SIGNBIT (mpc_imagref (y)) != MPFR_SIGNBIT (mpc_realref (x))); inex_re = -mpfr_mul (mpc_realref (rop), mpc_imagref (x), mpc_imagref (y), INV_RND (MPC_RND_RE (rnd))); mpfr_neg (mpc_realref (rop), mpc_realref (rop), MPFR_RNDN); /* exact */ inex_im = mpfr_mul (mpc_imagref (rop), mpc_realref (x), mpc_imagref (y), MPC_RND_IM (rnd)); mpc_set (z, rop, MPC_RNDNN); /* Sign of zeroes may be wrong (note that Re(z) cannot be zero) */ if (mpfr_zero_p (mpc_imagref (z))) mpfr_setsign (mpc_imagref (z), mpc_imagref (z), MPC_RND_IM (rnd) == MPFR_RNDD || sign, MPFR_RNDN); if (overlap) mpc_clear (rop); return MPC_INEX (inex_re, inex_im); } int mpc_mul_naive (mpc_ptr z, mpc_srcptr x, mpc_srcptr y, mpc_rnd_t rnd) { /* computes z=x*y by the schoolbook method, where x and y are assumed to be finite and without zero parts */ int overlap, inex_re, inex_im; mpc_t rop; MPC_ASSERT ( mpfr_regular_p (mpc_realref (x)) && mpfr_regular_p (mpc_imagref (x)) && mpfr_regular_p (mpc_realref (y)) && mpfr_regular_p (mpc_imagref (y))); overlap = (z == x) || (z == y); if (overlap) mpc_init3 (rop, MPC_PREC_RE (z), MPC_PREC_IM (z)); else rop [0] = z [0]; inex_re = mpfr_fmms (mpc_realref (rop), mpc_realref (x), mpc_realref (y), mpc_imagref (x), mpc_imagref (y), MPC_RND_RE (rnd)); inex_im = mpfr_fmma (mpc_imagref (rop), mpc_realref (x), mpc_imagref (y), mpc_imagref (x), mpc_realref (y), MPC_RND_IM (rnd)); mpc_set (z, rop, MPC_RNDNN); if (overlap) mpc_clear (rop); return MPC_INEX (inex_re, inex_im); } int mpc_mul_karatsuba (mpc_ptr rop, mpc_srcptr op1, mpc_srcptr op2, mpc_rnd_t rnd) { /* computes rop=op1*op2 by a Karatsuba algorithm, where op1 and op2 are assumed to be finite and without zero parts */ mpfr_srcptr a, b, c, d; int mul_i, ok, inexact, mul_a, mul_c, inex_re = 0, inex_im = 0, sign_x, sign_u; mpfr_t u, v, w, x; mpfr_prec_t prec, prec_re, prec_u, prec_v, prec_w; mpfr_rnd_t rnd_re, rnd_u; int overlap; /* true if rop == op1 or rop == op2 */ mpc_t result; /* overlap is quite difficult to handle, because we have to tentatively round the variable u in the end to either the real or the imaginary part of rop (it is not possible to tell now whether the real or imaginary part is used). If this fails, we have to start again and need the correct values of op1 and op2. So we just create a new variable for the result in this case. */ mpfr_ptr ref; int loop; const int MAX_MUL_LOOP = 1; overlap = (rop == op1) || (rop == op2); if (overlap) mpc_init3 (result, MPC_PREC_RE (rop), MPC_PREC_IM (rop)); else result [0] = rop [0]; a = mpc_realref(op1); b = mpc_imagref(op1); c = mpc_realref(op2); d = mpc_imagref(op2); /* (a + i*b) * (c + i*d) = [ac - bd] + i*[ad + bc] */ mul_i = 0; /* number of multiplications by i */ mul_a = 1; /* implicit factor for a */ mul_c = 1; /* implicit factor for c */ if (mpfr_cmp_abs (a, b) < 0) { MPFR_SWAP (a, b); mul_i ++; mul_a = -1; /* consider i * (a+i*b) = -b + i*a */ } if (mpfr_cmp_abs (c, d) < 0) { MPFR_SWAP (c, d); mul_i ++; mul_c = -1; /* consider -d + i*c instead of c + i*d */ } /* find the precision and rounding mode for the new real part */ if (mul_i % 2) { prec_re = MPC_PREC_IM(rop); rnd_re = MPC_RND_IM(rnd); } else /* mul_i = 0 or 2 */ { prec_re = MPC_PREC_RE(rop); rnd_re = MPC_RND_RE(rnd); } if (mul_i) rnd_re = INV_RND(rnd_re); /* now |a| >= |b| and |c| >= |d| */ prec = MPC_MAX_PREC(rop); mpfr_init2 (v, prec_v = mpfr_get_prec (a) + mpfr_get_prec (d)); mpfr_init2 (w, prec_w = mpfr_get_prec (b) + mpfr_get_prec (c)); mpfr_init2 (u, 2); mpfr_init2 (x, 2); inexact = mpfr_mul (v, a, d, MPFR_RNDN); if (inexact) { /* over- or underflow */ ok = 0; goto clear; } if (mul_a == -1) mpfr_neg (v, v, MPFR_RNDN); inexact = mpfr_mul (w, b, c, MPFR_RNDN); if (inexact) { /* over- or underflow */ ok = 0; goto clear; } if (mul_c == -1) mpfr_neg (w, w, MPFR_RNDN); /* compute sign(v-w) */ sign_x = mpfr_cmp_abs (v, w); if (sign_x > 0) sign_x = 2 * mpfr_sgn (v) - mpfr_sgn (w); else if (sign_x == 0) sign_x = mpfr_sgn (v) - mpfr_sgn (w); else sign_x = mpfr_sgn (v) - 2 * mpfr_sgn (w); sign_u = mul_a * mpfr_sgn (a) * mul_c * mpfr_sgn (c); if (sign_x * sign_u < 0) { /* swap inputs */ MPFR_SWAP (a, c); MPFR_SWAP (b, d); mpfr_swap (v, w); { int tmp; tmp = mul_a; mul_a = mul_c; mul_c = tmp; } sign_x = - sign_x; } /* now sign_x * sign_u >= 0 */ loop = 0; do { loop++; /* the following should give failures with prob. <= 1/prec */ prec += mpc_ceil_log2 (prec) + 3; mpfr_set_prec (u, prec_u = prec); mpfr_set_prec (x, prec); /* first compute away(b +/- a) and store it in u */ inexact = (mul_a == -1 ? mpfr_sub (u, b, a, MPFR_RNDA) : mpfr_add (u, b, a, MPFR_RNDA)); /* then compute away(+/-c - d) and store it in x */ inexact |= (mul_c == -1 ? mpfr_add (x, c, d, MPFR_RNDA) : mpfr_sub (x, c, d, MPFR_RNDA)); if (mul_c == -1) mpfr_neg (x, x, MPFR_RNDN); if (inexact == 0) mpfr_prec_round (u, prec_u = 2 * prec, MPFR_RNDN); /* compute away(u*x) and store it in u */ inexact |= mpfr_mul (u, u, x, MPFR_RNDA); /* (a+b)*(c-d) */ /* if all computations are exact up to here, it may be that the real part is exact, thus we need if possible to compute v - w exactly */ if (inexact == 0) { mpfr_prec_t prec_x; /* v and w are different from 0, so mpfr_get_exp is safe to use */ prec_x = SAFE_ABS (mpfr_exp_t, mpfr_get_exp (v) - mpfr_get_exp (w)) + MPC_MAX (prec_v, prec_w) + 1; /* +1 is necessary for a potential carry */ /* ensure we do not use a too large precision */ if (prec_x > prec_u) prec_x = prec_u; if (prec_x > prec) mpfr_prec_round (x, prec_x, MPFR_RNDN); } rnd_u = (sign_u > 0) ? MPFR_RNDU : MPFR_RNDD; inexact |= mpfr_sub (x, v, w, rnd_u); /* ad - bc */ /* in case u=0, ensure that rnd_u rounds x away from zero */ if (mpfr_sgn (u) == 0) rnd_u = (mpfr_sgn (x) > 0) ? MPFR_RNDU : MPFR_RNDD; inexact |= mpfr_add (u, u, x, rnd_u); /* ac - bd */ ok = inexact == 0 || mpfr_can_round (u, prec_u - 3, rnd_u, MPFR_RNDZ, prec_re + (rnd_re == MPFR_RNDN)); /* this ensures both we can round correctly and determine the correct inexact flag (for rounding to nearest) */ } while (!ok && loop <= MAX_MUL_LOOP); /* after MAX_MUL_LOOP rounds, use mpc_naive instead */ if (ok) { /* if inexact is zero, then u is exactly ac-bd, otherwise fix the sign of the inexact flag for u, which was rounded away from ac-bd */ if (inexact != 0) inexact = mpfr_sgn (u); if (mul_i == 0) { inex_re = mpfr_set (mpc_realref(result), u, MPC_RND_RE(rnd)); if (inex_re == 0) { inex_re = inexact; /* u is rounded away from 0 */ inex_im = mpfr_add (mpc_imagref(result), v, w, MPC_RND_IM(rnd)); } else inex_im = mpfr_add (mpc_imagref(result), v, w, MPC_RND_IM(rnd)); } else if (mul_i == 1) /* (x+i*y)/i = y - i*x */ { inex_im = mpfr_neg (mpc_imagref(result), u, MPC_RND_IM(rnd)); if (inex_im == 0) { inex_im = -inexact; /* u is rounded away from 0 */ inex_re = mpfr_add (mpc_realref(result), v, w, MPC_RND_RE(rnd)); } else inex_re = mpfr_add (mpc_realref(result), v, w, MPC_RND_RE(rnd)); } else /* mul_i = 2, z/i^2 = -z */ { inex_re = mpfr_neg (mpc_realref(result), u, MPC_RND_RE(rnd)); if (inex_re == 0) { inex_re = -inexact; /* u is rounded away from 0 */ inex_im = -mpfr_add (mpc_imagref(result), v, w, INV_RND(MPC_RND_IM(rnd))); mpfr_neg (mpc_imagref(result), mpc_imagref(result), MPC_RND_IM(rnd)); } else { inex_im = -mpfr_add (mpc_imagref(result), v, w, INV_RND(MPC_RND_IM(rnd))); mpfr_neg (mpc_imagref(result), mpc_imagref(result), MPC_RND_IM(rnd)); } } /* Clear potential signs of 0. */ if (!inex_re) { ref = mpc_realref (result); if (mpfr_zero_p (ref) && mpfr_signbit (ref)) MPFR_CHANGE_SIGN (ref); } if (!inex_im) { ref = mpc_imagref (result); if (mpfr_zero_p (ref) && mpfr_signbit (ref)) MPFR_CHANGE_SIGN (ref); } mpc_set (rop, result, MPC_RNDNN); } clear: mpfr_clear (u); mpfr_clear (v); mpfr_clear (w); mpfr_clear (x); if (overlap) mpc_clear (result); if (ok) return MPC_INEX(inex_re, inex_im); else return mpc_mul_naive (rop, op1, op2, rnd); } int mpc_mul (mpc_ptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { /* Conforming to ISO C99 standard (G.5.1 multiplicative operators), infinities are treated specially if both parts are NaN when computed naively. */ if (mpc_inf_p (b)) return mul_infinite (a, b, c); if (mpc_inf_p (c)) return mul_infinite (a, c, b); /* NaN contamination of both parts in result */ if (mpfr_nan_p (mpc_realref (b)) || mpfr_nan_p (mpc_imagref (b)) || mpfr_nan_p (mpc_realref (c)) || mpfr_nan_p (mpc_imagref (c))) { mpfr_set_nan (mpc_realref (a)); mpfr_set_nan (mpc_imagref (a)); return MPC_INEX (0, 0); } /* check for real multiplication */ if (mpfr_zero_p (mpc_imagref (b))) return mul_real (a, c, b, rnd); if (mpfr_zero_p (mpc_imagref (c))) return mul_real (a, b, c, rnd); /* check for purely imaginary multiplication */ if (mpfr_zero_p (mpc_realref (b))) return mul_imag (a, c, b, rnd); if (mpfr_zero_p (mpc_realref (c))) return mul_imag (a, b, c, rnd); /* If the real and imaginary part of one argument have a very different */ /* exponent, it is not reasonable to use Karatsuba multiplication. */ if ( SAFE_ABS (mpfr_exp_t, mpfr_get_exp (mpc_realref (b)) - mpfr_get_exp (mpc_imagref (b))) > (mpfr_exp_t) MPC_MAX_PREC (b) / 2 || SAFE_ABS (mpfr_exp_t, mpfr_get_exp (mpc_realref (c)) - mpfr_get_exp (mpc_imagref (c))) > (mpfr_exp_t) MPC_MAX_PREC (c) / 2) return mpc_mul_naive (a, b, c, rnd); else return ((MPC_MAX_PREC(a) <= (mpfr_prec_t) MUL_KARATSUBA_THRESHOLD * BITS_PER_MP_LIMB) ? mpc_mul_naive : mpc_mul_karatsuba) (a, b, c, rnd); } mpc-1.3.1/src/mul_i.c0000644000175100017460000000472213227377425011303 00000000000000/* mpc_mul_i -- Multiply a complex number by plus or minus i. Copyright (C) 2005, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_i (mpc_ptr a, mpc_srcptr b, int sign, mpc_rnd_t rnd) /* if sign is >= 0, multiply by i, otherwise by -i */ { int inex_re, inex_im; mpfr_t tmp; /* Treat the most probable case of compatible precisions first */ if ( MPC_PREC_RE (b) == MPC_PREC_IM (a) && MPC_PREC_IM (b) == MPC_PREC_RE (a)) { if (a == b) mpfr_swap (mpc_realref (a), mpc_imagref (a)); else { mpfr_set (mpc_realref (a), mpc_imagref (b), MPFR_RNDN); mpfr_set (mpc_imagref (a), mpc_realref (b), MPFR_RNDN); } if (sign >= 0) MPFR_CHANGE_SIGN (mpc_realref (a)); else MPFR_CHANGE_SIGN (mpc_imagref (a)); inex_re = 0; inex_im = 0; } else { if (a == b) { mpfr_init2 (tmp, MPC_PREC_RE (a)); if (sign >= 0) { inex_re = mpfr_neg (tmp, mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } else { inex_re = mpfr_set (tmp, mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_neg (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } mpfr_clear (mpc_realref (a)); mpc_realref (a)[0] = tmp [0]; } else if (sign >= 0) { inex_re = mpfr_neg (mpc_realref (a), mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } else { inex_re = mpfr_set (mpc_realref (a), mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_neg (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } } return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/cmp.c0000644000175100017460000000175312426164730010747 00000000000000/* mpc_cmp -- Compare two complex numbers. Copyright (C) 2002, 2009, 2010, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff a = b */ int mpc_cmp (mpc_srcptr a, mpc_srcptr b) { int cmp_re, cmp_im; cmp_re = mpfr_cmp (mpc_realref(a), mpc_realref(b)); cmp_im = mpfr_cmp (mpc_imagref(a), mpc_imagref(b)); return MPC_INEX(cmp_re, cmp_im); } mpc-1.3.1/src/urandom.c0000644000175100017460000000173712426164730011637 00000000000000/* mpc_urandom -- Generate a random complex number uniformly distributed in the interval [0,1[. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_urandom (mpc_ptr a, gmp_randstate_t state) { int r, i; r = mpfr_urandomb (mpc_realref(a), state); i = mpfr_urandomb (mpc_imagref(a), state); return r && i; } mpc-1.3.1/src/sum.c0000644000175100017460000000254313717736770011007 00000000000000/* mpc_sum -- Add an array of complex numbers. Copyright (C) 2018 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" int mpc_sum (mpc_ptr sum, const mpc_ptr *z, unsigned long n, mpc_rnd_t rnd) { int inex_re, inex_im; mpfr_ptr *t; unsigned long i; t = (mpfr_ptr *) malloc (n * sizeof(mpfr_t)); /* warning: when n=0, malloc() might return NULL (e.g., gcc119) */ MPC_ASSERT(n == 0 || t != NULL); for (i = 0; i < n; i++) t[i] = mpc_realref (z[i]); inex_re = mpfr_sum (mpc_realref (sum), t, n, MPC_RND_RE (rnd)); for (i = 0; i < n; i++) t[i] = mpc_imagref (z[i]); inex_im = mpfr_sum (mpc_imagref (sum), t, n, MPC_RND_IM (rnd)); free (t); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/get_prec2.c0000644000175100017460000000167512426164730012045 00000000000000/* mpc_get_prec2 -- returns the precisions of the real and of the imaginary part through the first two arguments Copyright (C) 2007, 2009, 2010 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" void mpc_get_prec2 (mpfr_prec_t *pr, mpfr_prec_t *pi, mpc_srcptr x) { *pr = MPC_PREC_RE (x); *pi = MPC_PREC_IM (x); } mpc-1.3.1/src/agm.c0000644000175100017460000001775314345571363010751 00000000000000/* mpc_agm -- AGM of a complex number. Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" static int mpc_agm_angle_zero (mpc_ptr rop, mpc_srcptr a, mpc_srcptr b, mpc_rnd_t rnd, int cmp) /* AGM for angle 0 between a and b, but they are neither real nor purely imaginary. cmp is mpc_cmp_abs (a, b). */ { mpfr_prec_t prec; int inex; mpc_t agm; mpfr_t a0, b0; prec = MPC_MAX_PREC (rop); mpc_init2 (agm, 2); mpfr_init2 (a0, 2); mpfr_set_ui (a0, 1, MPFR_RNDN); mpfr_init2 (b0, 2); do { prec += 20; mpc_set_prec (agm, prec); mpfr_set_prec (b0, prec); if (cmp >= 0) mpfr_div (b0, mpc_realref (b), mpc_realref (a), MPFR_RNDZ); else mpfr_div (b0, mpc_realref (a), mpc_realref (b), MPFR_RNDZ); mpfr_agm (b0, a0, b0, MPFR_RNDN); if (cmp >= 0) mpc_mul_fr (agm, a, b0, MPC_RNDNN); else mpc_mul_fr (agm, b, b0, MPC_RNDNN); } while (!mpfr_can_round (mpc_realref (agm), prec - 3, MPFR_RNDN, MPFR_RNDU, mpfr_get_prec (mpc_realref (rop)) + 1) || !mpfr_can_round (mpc_imagref (agm), prec - 3, MPFR_RNDN, MPFR_RNDU, mpfr_get_prec (mpc_imagref (rop)) + 1)); inex = mpc_set (rop, agm, rnd); mpc_clear (agm); mpfr_clear (a0); mpfr_clear (b0); return inex; } static int mpc_agm_general (mpc_ptr rop, mpc_srcptr a, mpc_srcptr b, mpc_rnd_t rnd) /* AGM for not extremely special numbers: Finite, non-zero, and a != -b; if the angle is 0, then we are neither in the real nor in the purely imaginary case. We follow the strategy outlined in algorithms.tex. */ { mpc_t b0, a1, an, bn, anp1, bnp1; int cmp, equal, n, i; mpfr_prec_t prec, N, k1, L, exp_diff, kR, kI; mpfr_exp_t exp_re_a1, exp_re_b0, exp_im_b0; int okR, okI, inex; /* Determine whether to compute AGM (1, b0) with b0 = a/b or b0 = b/a. */ cmp = mpc_cmp_abs (a, b); /* Compute an approximation k1 of the precision loss in the first iteration. */ mpc_init2 (b0, 2); mpc_init2 (a1, 2); prec = 1; do { prec *= 2; mpc_set_prec (b0, prec); mpc_set_prec (a1, prec); if (cmp >= 0) mpc_div (b0, b, a, MPC_RNDZZ); else mpc_div (b0, a, b, MPC_RNDZZ); if (mpfr_zero_p (mpc_imagref (b0)) && mpfr_sgn (mpc_realref (b0)) > 0) { mpc_clear (b0); mpc_clear (a1); return mpc_agm_angle_zero (rop, a, b, rnd, cmp); } mpc_add_ui (a1, b0, 1, MPC_RNDNN); mpc_div_2ui (a1, a1, 1, MPC_RNDNN); exp_re_a1 = mpfr_get_exp (mpc_realref (a1)); } while (exp_re_a1 == -prec); exp_re_b0 = mpfr_get_exp (mpc_realref (b0)); exp_im_b0 = mpfr_get_exp (mpc_imagref (b0)); mpc_clear (a1); mpc_clear (b0); k1 = MPC_MAX (3, - 2 * exp_re_a1 - 2); /* Compute the number n of iterations and the target precision. */ N = MPC_MAX_PREC (rop) + 20; /* 20 is an arbitrary safety margin. */ do { /* With the notation of algorithms.tex, compute 2*L, which is an integer; then correct this when taking the logarithm. */ if (exp_im_b0 <= -1) if (exp_re_b0 <= -1) L = MPC_MAX (6, - MPC_MAX (exp_re_b0, exp_im_b0) + 1); else if (exp_re_a1 <= -2) L = - 2 * MPC_MAX (exp_re_a1, exp_im_b0 - 1) + 3; else L = 6; else L = 6; L = MPC_MAX (1, mpc_ceil_log2 (L) - 1); n = L + mpc_ceil_log2 (N + 4) + 3; prec = N + (n + k1 + 7 + 1) / 2; mpc_init2 (an, prec); mpc_init2 (bn, prec); mpc_init2 (anp1, prec); mpc_init2 (bnp1, prec); /* Compute the argument for AGM (1, b0) at the working precision. */ if (cmp >= 0) mpc_div (bn, b, a, MPC_RNDZZ); else mpc_div (bn, a, b, MPC_RNDZZ); mpc_set_ui (an, 1, MPC_RNDNN); equal = 0; /* In practice, a fixed point of the AGM operation is reached before the last iteration, so we may stop when an==anp1 and bn==bnp1. Also in practice one observes that often one iteration earlier one has an==bn, which is also tested for an early abort strategy. */ /* Execute the AGM iterations. */ for (i = 1; !equal && i <= n; i++) { mpc_add (anp1, an, bn, MPC_RNDNN); mpc_div_2ui (anp1, anp1, 1, MPC_RNDNN); mpc_mul (bnp1, an, bn, MPC_RNDNN); mpc_sqrt (bnp1, bnp1, MPC_RNDNN); equal = (mpc_cmp (an, anp1) == 0 && mpc_cmp (bn, bnp1) == 0) || mpc_cmp (anp1, bnp1) == 0; mpc_swap (an, anp1); mpc_swap (bn, bnp1); } /* Remultiply. */ if (cmp >= 0) mpc_mul (an, an, a, MPC_RNDNN); else mpc_mul (an, an, b, MPC_RNDNN); exp_diff = mpfr_get_exp (mpc_imagref (an)) - mpfr_get_exp (mpc_realref (an)); kR = MPC_MAX (exp_diff + 1, 0); kI = MPC_MAX (-exp_diff + 1, 0); /* Use the trick of asking mpfr_can_round whether it can do a directed rounding at precision + 1; then the whole uncertainty interval is contained in the upper or the lower half of the interval between two representable numbers, and mpc_set reveals the inexact value regardless of the rounding direction. */ okR = mpfr_can_round (mpc_realref (an), N - kR, MPFR_RNDN, MPFR_RNDU, mpfr_get_prec (mpc_realref (rop)) + 1); okI = mpfr_can_round (mpc_imagref (an), N - kI, MPFR_RNDN, MPFR_RNDU, mpfr_get_prec (mpc_imagref (rop)) + 1); if (!okR || !okI) /* Until a counterexample is found, we assume that this happens only once and increase the precision only moderately. */ N += MPC_MAX (kR, kI); } while (!okR || !okI); inex = mpc_set (rop, an, rnd); mpc_clear (an); mpc_clear (bn); mpc_clear (anp1); mpc_clear (bnp1); return inex; } int mpc_agm (mpc_ptr rop, mpc_srcptr a, mpc_srcptr b, mpc_rnd_t rnd) { int inex_re, inex_im; if (!mpc_fin_p (a) || !mpc_fin_p (b)) { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); return MPC_INEX (0, 0); } else if (mpc_zero_p (a) || mpc_zero_p (b)) return mpc_set_ui_ui (rop, 0, 0, MPC_RNDNN); else if (mpc_cmp (a, b) == 0) return mpc_set (rop, a, rnd); else if ( mpfr_sgn (mpc_realref (a)) == -mpfr_sgn (mpc_realref (b)) && mpfr_sgn (mpc_imagref (a)) == -mpfr_sgn (mpc_imagref (b)) && mpfr_cmpabs (mpc_realref (a), mpc_realref (b)) == 0 && mpfr_cmpabs (mpc_imagref (a), mpc_imagref (b)) == 0) /* a == -b */ return mpc_set_ui_ui (rop, 0, 0, MPC_RNDNN); else if (mpfr_zero_p (mpc_imagref (a)) && mpfr_zero_p (mpc_imagref (b)) && mpfr_sgn (mpc_realref (a)) == mpfr_sgn (mpc_realref (b))) { /* angle 0, real values */ inex_re = mpfr_agm (mpc_realref (rop), mpc_realref (a), mpc_realref (b), MPC_RND_RE (rnd)); mpfr_set_ui (mpc_imagref (rop), 0, MPFR_RNDN); return MPC_INEX (inex_re, 0); } else if (mpfr_zero_p (mpc_realref (a)) && mpfr_zero_p (mpc_realref (b)) && mpfr_sgn (mpc_imagref (a)) == mpfr_sgn (mpc_imagref (b))) { /* angle 0, purely imaginary values */ inex_im = mpfr_agm (mpc_imagref (rop), mpc_imagref (a), mpc_imagref (b), MPC_RND_IM (rnd)); mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); return MPC_INEX (0, inex_im); } else return mpc_agm_general (rop, a, b, rnd); } mpc-1.3.1/src/acos.c0000644000175100017460000002026613717736770011132 00000000000000/* mpc_acos -- arccosine of a complex number. Copyright (C) 2009, 2010, 2011, 2012, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" int mpc_acos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { int inex_re, inex_im, inex, loop = 0; mpfr_prec_t p_re, p_im, p; mpc_t z1; mpfr_t pi_over_2; mpfr_exp_t e1, e2; mpfr_rnd_t rnd_im; mpc_rnd_t rnd1; mpfr_exp_t saved_emin, saved_emax; inex_re = 0; inex_im = 0; /* special values */ if (mpfr_nan_p (mpc_realref (op)) || mpfr_nan_p (mpc_imagref (op))) { if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { mpfr_set_inf (mpc_imagref (rop), mpfr_signbit (mpc_imagref (op)) ? +1 : -1); mpfr_set_nan (mpc_realref (rop)); } else if (mpfr_zero_p (mpc_realref (op))) { inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); mpfr_set_nan (mpc_imagref (rop)); } else { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); } return MPC_INEX (inex_re, 0); } if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { if (mpfr_inf_p (mpc_realref (op))) { if (mpfr_inf_p (mpc_imagref (op))) { if (mpfr_sgn (mpc_realref (op)) > 0) { inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); mpfr_div_2ui (mpc_realref (rop), mpc_realref (rop), 1, MPFR_RNDN); } else { /* the real part of the result is 3*pi/4 a = o(pi) error(a) < 1 ulp(a) b = o(3*a) error(b) < 2 ulp(b) c = b/4 exact thus 1 bit is lost */ mpfr_t x; mpfr_prec_t prec; int ok; mpfr_init (x); prec = mpfr_get_prec (mpc_realref (rop)); p = prec; do { p += mpc_ceil_log2 (p); mpfr_set_prec (x, p); mpfr_const_pi (x, MPFR_RNDD); mpfr_mul_ui (x, x, 3, MPFR_RNDD); ok = mpfr_can_round (x, p - 1, MPFR_RNDD, MPC_RND_RE (rnd), prec+(MPC_RND_RE (rnd) == MPFR_RNDN)); } while (ok == 0); inex_re = mpfr_div_2ui (mpc_realref (rop), x, 2, MPC_RND_RE (rnd)); mpfr_clear (x); } } else { if (mpfr_sgn (mpc_realref (op)) > 0) mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); else inex_re = mpfr_const_pi (mpc_realref (rop), MPC_RND_RE (rnd)); } } else inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); mpfr_set_inf (mpc_imagref (rop), mpfr_signbit (mpc_imagref (op)) ? +1 : -1); return MPC_INEX (inex_re, 0); } /* pure real argument */ if (mpfr_zero_p (mpc_imagref (op))) { int s_im; s_im = mpfr_signbit (mpc_imagref (op)); if (mpfr_cmp_ui (mpc_realref (op), 1) > 0) { if (s_im) inex_im = mpfr_acosh (mpc_imagref (rop), mpc_realref (op), MPC_RND_IM (rnd)); else inex_im = -mpfr_acosh (mpc_imagref (rop), mpc_realref (op), INV_RND (MPC_RND_IM (rnd))); mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); } else if (mpfr_cmp_si (mpc_realref (op), -1) < 0) { mpfr_t minus_op_re; minus_op_re[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (minus_op_re); if (s_im) inex_im = mpfr_acosh (mpc_imagref (rop), minus_op_re, MPC_RND_IM (rnd)); else inex_im = -mpfr_acosh (mpc_imagref (rop), minus_op_re, INV_RND (MPC_RND_IM (rnd))); inex_re = mpfr_const_pi (mpc_realref (rop), MPC_RND_RE (rnd)); } else { inex_re = mpfr_acos (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); mpfr_set_ui (mpc_imagref (rop), 0, MPC_RND_IM (rnd)); } if (!s_im) mpc_conj (rop, rop, MPC_RNDNN); return MPC_INEX (inex_re, inex_im); } /* pure imaginary argument */ if (mpfr_zero_p (mpc_realref (op))) { inex_re = set_pi_over_2 (mpc_realref (rop), +1, MPC_RND_RE (rnd)); inex_im = -mpfr_asinh (mpc_imagref (rop), mpc_imagref (op), INV_RND (MPC_RND_IM (rnd))); mpc_conj (rop,rop, MPC_RNDNN); return MPC_INEX (inex_re, inex_im); } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); /* regular complex argument: acos(z) = Pi/2 - asin(z) */ p_re = mpfr_get_prec (mpc_realref(rop)); p_im = mpfr_get_prec (mpc_imagref(rop)); p = p_re; mpc_init3 (z1, p, p_im); /* we round directly the imaginary part to p_im, with rounding mode opposite to rnd_im */ rnd_im = MPC_RND_IM(rnd); /* the imaginary part of asin(z) has the same sign as Im(z), thus if Im(z) > 0 and rnd_im = RNDZ, we want to round the Im(asin(z)) to -Inf so that -Im(asin(z)) is rounded to zero */ if (rnd_im == MPFR_RNDZ) rnd_im = mpfr_sgn (mpc_imagref(op)) > 0 ? MPFR_RNDD : MPFR_RNDU; else rnd_im = rnd_im == MPFR_RNDU ? MPFR_RNDD : rnd_im == MPFR_RNDD ? MPFR_RNDU : rnd_im; /* both RNDZ and RNDA map to themselves for -asin(z) */ rnd1 = MPC_RND (MPFR_RNDN, rnd_im); mpfr_init2 (pi_over_2, p); for (;;) { loop ++; p += (loop <= 2) ? mpc_ceil_log2 (p) + 3 : p / 2; mpfr_set_prec (mpc_realref(z1), p); mpfr_set_prec (pi_over_2, p); set_pi_over_2 (pi_over_2, +1, MPFR_RNDN); e1 = 1; /* Exp(pi_over_2) */ inex = mpc_asin (z1, op, rnd1); /* asin(z) */ MPC_ASSERT (mpfr_sgn (mpc_imagref(z1)) * mpfr_sgn (mpc_imagref(op)) > 0); inex_im = MPC_INEX_IM(inex); /* inex_im is in {-1, 0, 1} */ e2 = mpfr_get_exp (mpc_realref(z1)); mpfr_sub (mpc_realref(z1), pi_over_2, mpc_realref(z1), MPFR_RNDN); if (!mpfr_zero_p (mpc_realref(z1))) { /* the error on x=Re(z1) is bounded by 1/2 ulp(x) + 2^(e1-p-1) + 2^(e2-p-1) */ e1 = e1 >= e2 ? e1 + 1 : e2 + 1; /* the error on x is bounded by 1/2 ulp(x) + 2^(e1-p-1) */ e1 -= mpfr_get_exp (mpc_realref(z1)); /* the error on x is bounded by 1/2 ulp(x) [1 + 2^e1] */ e1 = e1 <= 0 ? 0 : e1; /* the error on x is bounded by 2^e1 * ulp(x) */ mpfr_neg (mpc_imagref(z1), mpc_imagref(z1), MPFR_RNDN); /* exact */ inex_im = -inex_im; if (mpfr_can_round (mpc_realref(z1), p - e1, MPFR_RNDN, MPFR_RNDZ, p_re + (MPC_RND_RE(rnd) == MPFR_RNDN))) break; } } inex = mpc_set (rop, z1, rnd); inex_re = MPC_INEX_RE(inex); mpc_clear (z1); mpfr_clear (pi_over_2); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (rop), inex_re, MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (rop), inex_im, MPC_RND_IM (rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/set_str.c0000644000175100017460000000217414345571363011657 00000000000000/* mpc_set_str -- Convert a string into a complex number. Copyright (C) 2009, 2010, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-impl.h" int mpc_set_str (mpc_ptr z, const char *str, int base, mpc_rnd_t rnd) { char *p; int inex; inex = mpc_strtoc (z, str, &p, base, rnd); if (inex != -1){ while (isspace ((unsigned char) (*p))) p++; if (*p == '\0') return inex; } mpfr_set_nan (mpc_realref (z)); mpfr_set_nan (mpc_imagref (z)); return -1; } mpc-1.3.1/src/strtoc.c0000644000175100017460000000421413227377425011510 00000000000000/* mpc_strtoc -- Read a complex number from a string. Copyright (C) 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include #include "mpc-impl.h" static void skip_whitespace (const char **p) { /* TODO: This function had better be inlined, but it is unclear whether the hassle to get this implemented across all platforms is worth it. */ while (isspace ((unsigned char) **p)) (*p)++; } int mpc_strtoc (mpc_ptr rop, const char *nptr, char **endptr, int base, mpc_rnd_t rnd) { const char *p; char *end; int bracketed = 0; int inex_re = 0, inex_im = 0; if (nptr == NULL || base > 36 || base == 1) goto error; p = nptr; skip_whitespace (&p); if (*p == '('){ bracketed = 1; ++p; } inex_re = mpfr_strtofr (mpc_realref(rop), p, &end, base, MPC_RND_RE (rnd)); if (end == p) goto error; p = end; if (!bracketed) inex_im = mpfr_set_ui (mpc_imagref (rop), 0ul, MPFR_RNDN); else { if (!isspace ((unsigned char)*p)) goto error; skip_whitespace (&p); inex_im = mpfr_strtofr (mpc_imagref(rop), p, &end, base, MPC_RND_IM (rnd)); if (end == p) goto error; p = end; skip_whitespace (&p); if (*p != ')') goto error; p++; } if (endptr != NULL) *endptr = (char*) p; return MPC_INEX (inex_re, inex_im); error: if (endptr != NULL) *endptr = (char*) nptr; mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); return -1; } mpc-1.3.1/src/ui_ui_sub.c0000644000175100017460000000227212426164730012150 00000000000000/* mpc_ui_ui_sub -- Subtract a complex number from another one given implicitly by its real and imaginary parts of type unsigned long int. Copyright (C) 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_ui_ui_sub (mpc_ptr rop, unsigned long int re, unsigned long int im, mpc_srcptr op, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_ui_sub (mpc_realref (rop), re, mpc_realref (op), MPC_RND_RE (rnd)); inex_im = mpfr_ui_sub (mpc_imagref (rop), im, mpc_imagref (op), MPC_RND_IM (rnd)); return MPC_INEX (inex_re, inex_im); } mpc-1.3.1/src/exp.c0000644000175100017460000001560713717736770011004 00000000000000/* mpc_exp -- exponential of a complex number. Copyright (C) 2002, 2009, 2010, 2011, 2012, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_exp (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { mpfr_t x, y, z; mpfr_prec_t prec; int ok = 0; int inex_re, inex_im; int saved_underflow, saved_overflow; mpfr_exp_t saved_emin, saved_emax; /* special values */ if (mpfr_nan_p (mpc_realref (op)) || mpfr_nan_p (mpc_imagref (op))) /* NaNs exp(nan +i*y) = nan -i*0 if y = -0, nan +i*0 if y = +0, nan +i*nan otherwise exp(x+i*nan) = +/-0 +/-i*0 if x=-inf, +/-inf +i*nan if x=+inf, nan +i*nan otherwise */ { if (mpfr_zero_p (mpc_imagref (op))) return mpc_set (rop, op, MPC_RNDNN); if (mpfr_inf_p (mpc_realref (op))) { if (mpfr_signbit (mpc_realref (op))) return mpc_set_ui_ui (rop, 0, 0, MPC_RNDNN); else { mpfr_set_inf (mpc_realref (rop), +1); mpfr_set_nan (mpc_imagref (rop)); return MPC_INEX(0, 0); /* Inf/NaN are exact */ } } mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); return MPC_INEX(0, 0); /* NaN is exact */ } if (mpfr_zero_p (mpc_imagref(op))) /* special case when the input is real exp(x-i*0) = exp(x) -i*0, even if x is NaN exp(x+i*0) = exp(x) +i*0, even if x is NaN */ { inex_re = mpfr_exp (mpc_realref(rop), mpc_realref(op), MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(rop), mpc_imagref(op), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } if (mpfr_zero_p (mpc_realref (op))) /* special case when the input is imaginary */ { inex_re = mpfr_cos (mpc_realref (rop), mpc_imagref (op), MPC_RND_RE(rnd)); inex_im = mpfr_sin (mpc_imagref (rop), mpc_imagref (op), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } if (mpfr_inf_p (mpc_realref (op))) /* real part is an infinity, exp(-inf +i*y) = 0*(cos y +i*sin y) exp(+inf +i*y) = +/-inf +i*nan if y = +/-inf +inf*(cos y +i*sin y) if 0 < |y| < inf */ { mpfr_t n; mpfr_init2 (n, 2); if (mpfr_signbit (mpc_realref (op))) mpfr_set_ui (n, 0, MPFR_RNDN); else mpfr_set_inf (n, +1); if (mpfr_inf_p (mpc_imagref (op))) { int real_sign = mpfr_signbit (mpc_realref (op)); inex_re = mpfr_set (mpc_realref (rop), n, MPFR_RNDN); if (real_sign) inex_im = mpfr_set (mpc_imagref (rop), n, MPFR_RNDN); else { mpfr_set_nan (mpc_imagref (rop)); inex_im = 0; /* NaN is exact */ } } else { mpfr_t c, s; mpfr_init2 (c, 2); mpfr_init2 (s, 2); mpfr_sin_cos (s, c, mpc_imagref (op), MPFR_RNDN); inex_re = mpfr_copysign (mpc_realref (rop), n, c, MPFR_RNDN); inex_im = mpfr_copysign (mpc_imagref (rop), n, s, MPFR_RNDN); mpfr_clear (s); mpfr_clear (c); } mpfr_clear (n); return MPC_INEX(inex_re, inex_im); } if (mpfr_inf_p (mpc_imagref (op))) /* real part is finite non-zero number, imaginary part is an infinity */ { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); return MPC_INEX(0, 0); /* NaN is exact */ } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); /* from now on, both parts of op are regular numbers */ prec = MPC_MAX_PREC(rop) + MPC_MAX (MPC_MAX (-mpfr_get_exp (mpc_realref (op)), 0), -mpfr_get_exp (mpc_imagref (op))); /* When op is close to 0, then exp is close to 1+Re(op), while cos is close to 1-Im(op); to decide on the ternary value of exp*cos, we need a high enough precision so that none of exp or cos is computed as 1. */ mpfr_init2 (x, 2); mpfr_init2 (y, 2); mpfr_init2 (z, 2); /* save the underflow or overflow flags from MPFR */ saved_underflow = mpfr_underflow_p (); saved_overflow = mpfr_overflow_p (); do { prec += prec / 2 + mpc_ceil_log2 (prec) + 5; mpfr_set_prec (x, prec); mpfr_set_prec (y, prec); mpfr_set_prec (z, prec); /* FIXME: x may overflow so x.y does overflow too, while Re(exp(op)) could be represented in the precision of rop. */ mpfr_clear_overflow (); mpfr_clear_underflow (); mpfr_exp (x, mpc_realref(op), MPFR_RNDN); /* error <= 0.5ulp */ mpfr_sin_cos (z, y, mpc_imagref(op), MPFR_RNDN); /* errors <= 0.5ulp */ mpfr_mul (y, y, x, MPFR_RNDN); /* error <= 2ulp */ ok = mpfr_overflow_p () || mpfr_zero_p (x) || mpfr_can_round (y, prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(rop) + (MPC_RND_RE(rnd) == MPFR_RNDN)); if (ok) /* compute imaginary part */ { mpfr_mul (z, z, x, MPFR_RNDN); ok = mpfr_overflow_p () || mpfr_zero_p (x) || mpfr_can_round (z, prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(rop) + (MPC_RND_IM(rnd) == MPFR_RNDN)); } } while (ok == 0); inex_re = mpfr_set (mpc_realref(rop), y, MPC_RND_RE(rnd)); inex_im = mpfr_set (mpc_imagref(rop), z, MPC_RND_IM(rnd)); if (mpfr_overflow_p ()) { inex_re = mpc_fix_inf (mpc_realref(rop), MPC_RND_RE(rnd)); inex_im = mpc_fix_inf (mpc_imagref(rop), MPC_RND_IM(rnd)); } else if (mpfr_underflow_p ()) { inex_re = mpc_fix_zero (mpc_realref(rop), MPC_RND_RE(rnd)); inex_im = mpc_fix_zero (mpc_imagref(rop), MPC_RND_IM(rnd)); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); /* restore underflow and overflow flags from MPFR */ if (saved_underflow) mpfr_set_underflow (); if (saved_overflow) mpfr_set_overflow (); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (rop), inex_re, MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (rop), inex_im, MPC_RND_IM (rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/pow.c0000644000175100017460000007001214345571363010775 00000000000000/* mpc_pow -- Raise a complex number to the power of another complex number. Copyright (C) 2009, 2010, 2011, 2012, 2014, 2015, 2016, 2018, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" /* Return non-zero iff c+i*d is an exact square (a+i*b)^2, with a, b both of the form m*2^e with m, e integers. If so, returns in a+i*b the corresponding square root, with a >= 0. The variables a, b must not overlap with c, d. We have c = a^2 - b^2 and d = 2*a*b. If one of a, b is exact, then both are (see algorithms.tex). Case 1: a <> 0 and b <> 0. Let a = m*2^e and b = n*2^f with m, e, n, f integers, m and n odd (we will treat apart the case a = 0 or b = 0). Then 2*a*b = m*n*2^(e+f+1), thus necessarily e+f >= -1. Assume e < 0, then f >= 0, then a^2 - b^2 = m^2*2^(2e) - n^2*2^(2f) cannot be an integer, since n^2*2^(2f) is an integer, and m^2*2^(2e) is not. Similarly when f < 0 (and thus e >= 0). Thus we have e, f >= 0, and a, b are both integers. Let A = 2a^2, then eliminating b between c = a^2 - b^2 and d = 2*a*b gives A^2 - 2c*A - d^2 = 0, which has solutions c +/- sqrt(c^2+d^2). We thus need c^2+d^2 to be a square, and c + sqrt(c^2+d^2) --- the solution we are interested in --- to be two times a square. Then b = d/(2a) is necessarily an integer. Case 2: a = 0. Then d is necessarily zero, thus it suffices to check whether c = -b^2, i.e., if -c is a square. Case 3: b = 0. Then d is necessarily zero, thus it suffices to check whether c = a^2, i.e., if c is a square. */ static int mpc_perfect_square_p (mpz_t a, mpz_t b, mpz_t c, mpz_t d) { if (mpz_cmp_ui (d, 0) == 0) /* case a = 0 or b = 0 */ { /* necessarily c < 0 here, since we have already considered the case where x is real non-negative and y is real */ MPC_ASSERT (mpz_cmp_ui (c, 0) < 0); mpz_neg (b, c); if (mpz_perfect_square_p (b)) /* case 2 above */ { mpz_sqrt (b, b); mpz_set_ui (a, 0); return 1; /* c + i*d = (0 + i*b)^2 */ } } else /* both a and b are non-zero */ { if (mpz_divisible_2exp_p (d, 1) == 0) return 0; /* d must be even */ mpz_mul (a, c, c); mpz_addmul (a, d, d); /* c^2 + d^2 */ if (mpz_perfect_square_p (a)) { mpz_sqrt (a, a); mpz_add (a, c, a); /* c + sqrt(c^2+d^2) */ if (mpz_divisible_2exp_p (a, 1)) { mpz_tdiv_q_2exp (a, a, 1); if (mpz_perfect_square_p (a)) { mpz_sqrt (a, a); mpz_tdiv_q_2exp (b, d, 1); /* d/2 */ mpz_divexact (b, b, a); /* d/(2a) */ return 1; } } } } return 0; /* not a square */ } /* fix the sign of Re(z) or Im(z) in case it is zero, and Re(x) is zero. sign_eps is 0 if Re(x) = +0, 1 if Re(x) = -0 sign_a is the sign bit of Im(x). Assume y is an integer (does nothing otherwise). */ static void fix_sign (mpc_ptr z, int sign_eps, int sign_a, mpfr_srcptr y) { int ymod4 = -1; mpfr_exp_t ey; mpz_t my; unsigned long int t; mpz_init (my); ey = mpfr_get_z_exp (my, y); /* normalize so that my is odd */ t = mpz_scan1 (my, 0); ey += (mpfr_exp_t) t; mpz_tdiv_q_2exp (my, my, t); /* y = my*2^ey */ /* compute y mod 4 (in case y is an integer) */ if (ey >= 2) ymod4 = 0; else if (ey == 1) ymod4 = mpz_tstbit (my, 0) * 2; /* correct if my < 0 */ else if (ey == 0) { ymod4 = mpz_tstbit (my, 1) * 2 + mpz_tstbit (my, 0); if (mpz_cmp_ui (my , 0) < 0) ymod4 = 4 - ymod4; } else /* y is not an integer */ goto end; if (mpfr_zero_p (mpc_realref(z))) { /* we assume y is always integer in that case (FIXME: prove it): (eps+I*a)^y = +0 + I*a^y for y = 1 mod 4 and sign_eps = 0 (eps+I*a)^y = -0 - I*a^y for y = 3 mod 4 and sign_eps = 0 */ MPC_ASSERT (ymod4 == 1 || ymod4 == 3); if ((ymod4 == 3 && sign_eps == 0) || (ymod4 == 1 && sign_eps == 1)) mpfr_neg (mpc_realref(z), mpc_realref(z), MPFR_RNDZ); } else if (mpfr_zero_p (mpc_imagref(z))) { /* we assume y is always integer in that case (FIXME: prove it): (eps+I*a)^y = a^y - 0*I for y = 0 mod 4 and sign_a = sign_eps (eps+I*a)^y = -a^y +0*I for y = 2 mod 4 and sign_a = sign_eps */ MPC_ASSERT (ymod4 == 0 || ymod4 == 2); if ((ymod4 == 0 && sign_a == sign_eps) || (ymod4 == 2 && sign_a != sign_eps)) mpfr_neg (mpc_imagref(z), mpc_imagref(z), MPFR_RNDZ); } end: mpz_clear (my); } /* If x^y is exactly representable (with maybe a larger precision than z), round it in z and return the (mpc) inexact flag in [0, 10]. If x^y is not exactly representable, return -1. If intermediate computations lead to numbers of more than maxprec bits, then abort and return -2 (in that case, to avoid loops, mpc_pow_exact should be called again with a larger value of maxprec). Assume one of Re(x) or Im(x) is non-zero, and y is non-zero (y is real). Warning: z and x might be the same variable, same for Re(z) or Im(z) and y. In case -1 or -2 is returned, z is not modified. */ static int mpc_pow_exact (mpc_ptr z, mpc_srcptr x, mpfr_srcptr y, mpc_rnd_t rnd, mpfr_prec_t maxprec) { mpfr_exp_t ec, ed, ey; mpz_t my, a, b, c, d, u; unsigned long int t; int ret = -2; int sign_rex = mpfr_signbit (mpc_realref(x)); int sign_imx = mpfr_signbit (mpc_imagref(x)); int x_imag = mpfr_zero_p (mpc_realref(x)); int z_is_y = 0; mpfr_t copy_of_y; int inex_im; if (mpc_realref (z) == y || mpc_imagref (z) == y) { z_is_y = 1; mpfr_init2 (copy_of_y, mpfr_get_prec (y)); mpfr_set (copy_of_y, y, MPFR_RNDN); } mpz_init (my); mpz_init (a); mpz_init (b); mpz_init (c); mpz_init (d); mpz_init (u); ey = mpfr_get_z_exp (my, y); /* normalize so that my is odd */ t = mpz_scan1 (my, 0); ey += (mpfr_exp_t) t; mpz_tdiv_q_2exp (my, my, t); /* y = my*2^ey with my odd */ if (x_imag) { mpz_set_ui (c, 0); ec = 0; } else ec = mpfr_get_z_exp (c, mpc_realref(x)); if (mpfr_zero_p (mpc_imagref(x))) { mpz_set_ui (d, 0); ed = ec; } else { ed = mpfr_get_z_exp (d, mpc_imagref(x)); if (x_imag) ec = ed; } /* x = c*2^ec + I * d*2^ed */ /* equalize the exponents of x */ if (ec < ed) { mpz_mul_2exp (d, d, (unsigned long int) (ed - ec)); if ((mpfr_prec_t) mpz_sizeinbase (d, 2) > maxprec) goto end; } else if (ed < ec) { mpz_mul_2exp (c, c, (unsigned long int) (ec - ed)); if ((mpfr_prec_t) mpz_sizeinbase (c, 2) > maxprec) goto end; ec = ed; } /* now ec=ed and x = (c + I * d) * 2^ec */ /* divide by two if possible */ if (mpz_cmp_ui (c, 0) == 0) { t = mpz_scan1 (d, 0); mpz_tdiv_q_2exp (d, d, t); ec += (mpfr_exp_t) t; } else if (mpz_cmp_ui (d, 0) == 0) { t = mpz_scan1 (c, 0); mpz_tdiv_q_2exp (c, c, t); ec += (mpfr_exp_t) t; } else /* neither c nor d is zero */ { unsigned long v; t = mpz_scan1 (c, 0); v = mpz_scan1 (d, 0); if (v < t) t = v; mpz_tdiv_q_2exp (c, c, t); mpz_tdiv_q_2exp (d, d, t); ec += (mpfr_exp_t) t; } /* now either one of c, d is odd */ while (ey < 0) { /* check if x is a square */ if (ec & 1) { mpz_mul_2exp (c, c, 1); mpz_mul_2exp (d, d, 1); ec --; } /* now ec is even */ if (mpc_perfect_square_p (a, b, c, d) == 0) break; mpz_swap (a, c); mpz_swap (b, d); ec /= 2; ey ++; } if (ey < 0) { ret = -1; /* not representable */ goto end; } /* Now ey >= 0, it thus suffices to check that x^my is representable. If my > 0, this is always true. If my < 0, we first try to invert (c+I*d)*2^ec. */ if (mpz_cmp_ui (my, 0) < 0) { /* If my < 0, 1 / (c + I*d) = (c - I*d)/(c^2 + d^2), thus a sufficient condition is that c^2 + d^2 is a power of two, assuming |c| <> |d|. Assume a prime p <> 2 divides c^2 + d^2, then if p does not divide c or d, 1 / (c + I*d) cannot be exact. If p divides both c and d, then we can write c = p*c', d = p*d', and 1 / (c + I*d) = 1/p * 1/(c' + I*d'). This shows that if 1/(c+I*d) is exact, then 1/(c' + I*d') is exact too, and we are back to the previous case. In conclusion, a necessary and sufficient condition is that c^2 + d^2 is a power of two. */ /* FIXME: we could first compute c^2+d^2 mod a limb for example */ mpz_mul (a, c, c); mpz_addmul (a, d, d); t = mpz_scan1 (a, 0); if (mpz_sizeinbase (a, 2) != 1 + t) /* a is not a power of two */ { ret = -1; /* not representable */ goto end; } /* replace (c,d) by (c/(c^2+d^2), -d/(c^2+d^2)) */ mpz_neg (d, d); ec = -ec - (mpfr_exp_t) t; mpz_neg (my, my); } /* now ey >= 0 and my >= 0, and we want to compute [(c + I * d) * 2^ec] ^ (my * 2^ey). We first compute [(c + I * d) * 2^ec]^my, then square ey times. */ t = mpz_sizeinbase (my, 2) - 1; mpz_set (a, c); mpz_set (b, d); ed = ec; /* invariant: (a + I*b) * 2^ed = ((c + I*d) * 2^ec)^trunc(my/2^t) */ while (t-- > 0) { unsigned long int v, w; /* square a + I*b */ mpz_mul (u, a, b); mpz_mul (a, a, a); mpz_submul (a, b, b); mpz_mul_2exp (b, u, 1); ed *= 2; if (mpz_tstbit (my, t)) /* multiply by c + I*d */ { mpz_mul (u, a, c); mpz_submul (u, b, d); /* ac-bd */ mpz_mul (b, b, c); mpz_addmul (b, a, d); /* bc+ad */ mpz_swap (a, u); ed += ec; } /* remove powers of two in (a,b) */ if (mpz_cmp_ui (a, 0) == 0) { w = mpz_scan1 (b, 0); mpz_tdiv_q_2exp (b, b, w); ed += (mpfr_exp_t) w; } else if (mpz_cmp_ui (b, 0) == 0) { w = mpz_scan1 (a, 0); mpz_tdiv_q_2exp (a, a, w); ed += (mpfr_exp_t) w; } else { w = mpz_scan1 (a, 0); v = mpz_scan1 (b, 0); if (v < w) w = v; mpz_tdiv_q_2exp (a, a, w); mpz_tdiv_q_2exp (b, b, w); ed += (mpfr_exp_t) w; } if ( (mpfr_prec_t) mpz_sizeinbase (a, 2) > maxprec || (mpfr_prec_t) mpz_sizeinbase (b, 2) > maxprec) goto end; } /* now a+I*b = (c+I*d)^my */ while (ey-- > 0) { unsigned long sa, sb; /* square a + I*b */ mpz_mul (u, a, b); mpz_mul (a, a, a); mpz_submul (a, b, b); mpz_mul_2exp (b, u, 1); ed *= 2; /* divide by largest 2^n possible, to avoid many loops for e.g., (2+2*I)^16777216 */ sa = mpz_scan1 (a, 0); sb = mpz_scan1 (b, 0); sa = (sa <= sb) ? sa : sb; mpz_tdiv_q_2exp (a, a, sa); mpz_tdiv_q_2exp (b, b, sa); ed += (mpfr_exp_t) sa; if ( (mpfr_prec_t) mpz_sizeinbase (a, 2) > maxprec || (mpfr_prec_t) mpz_sizeinbase (b, 2) > maxprec) goto end; } ret = mpfr_set_z (mpc_realref(z), a, MPC_RND_RE(rnd)); inex_im = mpfr_set_z (mpc_imagref(z), b, MPC_RND_IM(rnd)); ret = MPC_INEX(ret, inex_im); mpfr_mul_2si (mpc_realref(z), mpc_realref(z), ed, MPC_RND_RE(rnd)); mpfr_mul_2si (mpc_imagref(z), mpc_imagref(z), ed, MPC_RND_IM(rnd)); end: mpz_clear (my); mpz_clear (a); mpz_clear (b); mpz_clear (c); mpz_clear (d); mpz_clear (u); if (ret >= 0 && x_imag) fix_sign (z, sign_rex, sign_imx, (z_is_y) ? copy_of_y : y); if (z_is_y) mpfr_clear (copy_of_y); return ret; } /* Return 1 if y*2^k is an odd integer, 0 otherwise. Adapted from MPFR, file pow.c. Examples: with k=0, check if y is an odd integer, with k=1, check if y is half-an-integer, with k=-1, check if y/2 is an odd integer. */ #define MPFR_LIMB_HIGHBIT ((mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1)) static int is_odd (mpfr_srcptr y, mpfr_exp_t k) { mpfr_exp_t expo; mpfr_prec_t prec; mp_size_t yn; mp_limb_t *yp; expo = mpfr_get_exp (y) + k; if (expo <= 0) return 0; /* |y| < 1 and not 0 */ prec = mpfr_get_prec (y); if ((mpfr_prec_t) expo > prec) return 0; /* y is a multiple of 2^(expo-prec), thus not odd */ /* 0 < expo <= prec: y = 1xxxxxxxxxt.zzzzzzzzzzzzzzzzzz[000] expo bits (prec-expo) bits We have to check that: (a) the bit 't' is set (b) all the 'z' bits are zero */ prec = ((prec - 1) / BITS_PER_MP_LIMB + 1) * BITS_PER_MP_LIMB - expo; /* number of z+0 bits */ yn = prec / BITS_PER_MP_LIMB; /* yn is the index of limb containing the 't' bit */ yp = y->_mpfr_d; /* if expo is a multiple of BITS_PER_MP_LIMB, t is bit 0 */ if (expo % BITS_PER_MP_LIMB == 0 ? (yp[yn] & 1) == 0 : yp[yn] << ((expo % BITS_PER_MP_LIMB) - 1) != MPFR_LIMB_HIGHBIT) return 0; while (--yn >= 0) if (yp[yn] != 0) return 0; return 1; } /* Put in z the value of x^y, rounded according to 'rnd'. Return the inexact flag in [0, 10]. */ int mpc_pow (mpc_ptr z, mpc_srcptr x, mpc_srcptr y, mpc_rnd_t rnd) { int ret = -2, loop, x_real, x_imag, y_real, z_real = 0, z_imag = 0, ramified = 0; mpc_t t, u; mpfr_prec_t p, pr, pi, maxprec; int saved_underflow, saved_overflow; int inex_re, inex_im; mpfr_exp_t saved_emin, saved_emax; /* save the underflow or overflow flags from MPFR */ saved_underflow = mpfr_underflow_p (); saved_overflow = mpfr_overflow_p (); x_real = mpfr_zero_p (mpc_imagref(x)); y_real = mpfr_zero_p (mpc_imagref(y)); if (y_real && mpfr_zero_p (mpc_realref(y))) /* case y zero */ { if (x_real && mpfr_zero_p (mpc_realref(x))) { /* we define 0^0 to be (1, +0) since the real part is coherent with MPFR where 0^0 gives 1, and the sign of the imaginary part cannot be determined */ mpc_set_ui_ui (z, 1, 0, MPC_RNDNN); return 0; } else /* x^0 = 1 +/- i*0 even for x=NaN see algorithms.tex for the sign of zero */ { mpfr_t n; int inex, cx1; int sign_zi; /* cx1 < 0 if |x| < 1 cx1 = 0 if |x| = 1 cx1 > 0 if |x| > 1 */ mpfr_init (n); inex = mpc_norm (n, x, MPFR_RNDN); cx1 = mpfr_cmp_ui (n, 1); if (cx1 == 0 && inex != 0) cx1 = -inex; sign_zi = (cx1 < 0 && mpfr_signbit (mpc_imagref (y)) == 0) || (cx1 == 0 && mpfr_signbit (mpc_imagref (x)) != mpfr_signbit (mpc_realref (y))) || (cx1 > 0 && mpfr_signbit (mpc_imagref (y))); /* warning: mpc_set_ui_ui does not set Im(z) to -0 if Im(rnd)=RNDD */ ret = mpc_set_ui_ui (z, 1, 0, rnd); if (MPC_RND_IM (rnd) == MPFR_RNDD || sign_zi) mpc_conj (z, z, MPC_RNDNN); mpfr_clear (n); return ret; } } if (!mpc_fin_p (x) || !mpc_fin_p (y)) { /* special values: exp(y*log(x)) */ mpc_init2 (u, 2); mpc_log (u, x, MPC_RNDNN); mpc_mul (u, u, y, MPC_RNDNN); ret = mpc_exp (z, u, rnd); mpc_clear (u); goto end; } if (x_real) /* case x real */ { if (mpfr_zero_p (mpc_realref(x))) /* x is zero */ { /* special values: exp(y*log(x)) */ mpc_init2 (u, 2); mpc_log (u, x, MPC_RNDNN); mpc_mul (u, u, y, MPC_RNDNN); ret = mpc_exp (z, u, rnd); mpc_clear (u); goto end; } /* Special case 1^y = 1 */ if (mpfr_cmp_ui (mpc_realref(x), 1) == 0) { int s1, s2; s1 = mpfr_signbit (mpc_realref (y)); s2 = mpfr_signbit (mpc_imagref (x)); ret = mpc_set_ui (z, +1, rnd); /* the sign of the zero imaginary part is known in some cases (see algorithm.tex). In such cases we have (x +s*0i)^(y+/-0i) = x^y + s*sign(y)*0i where s = +/-1. We extend here this rule to fix the sign of the zero part. Note that the sign must also be set explicitly when rnd=RNDD because mpfr_set_ui(z_i, 0, rnd) always sets z_i to +0. */ if (MPC_RND_IM (rnd) == MPFR_RNDD || s1 != s2) mpc_conj (z, z, MPC_RNDNN); goto end; } /* x^y is real when: (a) x is real and y is integer (b) x is real non-negative and y is real */ if (y_real && (mpfr_integer_p (mpc_realref(y)) || mpfr_cmp_ui (mpc_realref(x), 0) >= 0)) { int s1, s2; s1 = mpfr_signbit (mpc_realref (y)); s2 = mpfr_signbit (mpc_imagref (x)); ret = mpfr_pow (mpc_realref(z), mpc_realref(x), mpc_realref(y), MPC_RND_RE(rnd)); inex_im = mpfr_set_ui (mpc_imagref(z), 0, MPC_RND_IM(rnd)); ret = MPC_INEX(ret, inex_im); /* the sign of the zero imaginary part is known in some cases (see algorithm.tex). In such cases we have (x +s*0i)^(y+/-0i) = x^y + s*sign(y)*0i where s = +/-1. We extend here this rule to fix the sign of the zero part. Note that the sign must also be set explicitly when rnd=RNDD because mpfr_set_ui(z_i, 0, rnd) always sets z_i to +0. */ if (MPC_RND_IM(rnd) == MPFR_RNDD || s1 != s2) mpfr_neg (mpc_imagref(z), mpc_imagref(z), MPC_RND_IM(rnd)); goto end; } /* (-1)^(n+I*t) is real for n integer and t real */ if (mpfr_cmp_si (mpc_realref(x), -1) == 0 && mpfr_integer_p (mpc_realref(y))) z_real = 1; /* for x real, x^y is imaginary when: (a) x is negative and y is half-an-integer (b) x = -1 and Re(y) is half-an-integer */ if ((mpfr_cmp_ui (mpc_realref(x), 0) < 0) && is_odd (mpc_realref(y), 1) && (y_real || mpfr_cmp_si (mpc_realref(x), -1) == 0)) z_imag = 1; } else /* x non real */ /* I^(t*I) and (-I)^(t*I) are real for t real, I^(n+t*I) and (-I)^(n+t*I) are real for n even and t real, and I^(n+t*I) and (-I)^(n+t*I) are imaginary for n odd and t real (s*I)^n is real for n even and imaginary for n odd */ if ((mpc_cmp_si_si (x, 0, 1) == 0 || mpc_cmp_si_si (x, 0, -1) == 0 || (mpfr_cmp_ui (mpc_realref(x), 0) == 0 && y_real)) && mpfr_integer_p (mpc_realref(y))) { /* x is I or -I, and Re(y) is an integer */ if (is_odd (mpc_realref(y), 0)) z_imag = 1; /* Re(y) odd: z is imaginary */ else z_real = 1; /* Re(y) even: z is real */ } else /* (t+/-t*I)^(2n) is imaginary for n odd and real for n even */ if (mpfr_cmpabs (mpc_realref(x), mpc_imagref(x)) == 0 && y_real && mpfr_integer_p (mpc_realref(y)) && is_odd (mpc_realref(y), 0) == 0) { ramified = 1; if (is_odd (mpc_realref(y), -1)) /* y/2 is odd */ z_imag = 1; else z_real = 1; } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); pr = mpfr_get_prec (mpc_realref(z)); pi = mpfr_get_prec (mpc_imagref(z)); p = (pr > pi) ? pr : pi; p += 12; /* experimentally, seems to give less than 10% of failures in Ziv's strategy; probably wrong now since q is not computed */ if (p < 64) p = 64; mpc_init2 (u, p); mpc_init2 (t, p); pr += MPC_RND_RE(rnd) == MPFR_RNDN; pi += MPC_RND_IM(rnd) == MPFR_RNDN; maxprec = MPC_MAX_PREC (z); x_imag = mpfr_zero_p (mpc_realref(x)); for (loop = 0;; loop++) { int ret_exp; mpfr_exp_t dr, di; mpfr_prec_t q; mpc_log (t, x, MPC_RNDNN); mpc_mul (t, t, y, MPC_RNDNN); /* Compute q such that |Re (y log x)|, |Im (y log x)| < 2^q. We recompute it at each loop since we might get different bounds if the precision is not enough. */ q = mpfr_get_exp (mpc_realref(t)) > 0 ? mpfr_get_exp (mpc_realref(t)) : 0; if (mpfr_get_exp (mpc_imagref(t)) > (mpfr_exp_t) q) q = mpfr_get_exp (mpc_imagref(t)); /* the signs of the real/imaginary parts of exp(t) are determined by the quadrant of exp(i*imag(t)), which depends on imag(t) mod (2pi). We ensure that p >= q + 64 to get enough precision, but this might be not enough in corner cases (FIXME). */ if (p < q + 64) { p = q + 64; goto try_again; } mpfr_clear_overflow (); mpfr_clear_underflow (); ret_exp = mpc_exp (u, t, MPC_RNDNN); if (mpfr_underflow_p () || mpfr_overflow_p ()) { /* under- and overflow flags are set by mpc_exp */ mpc_set (z, u, MPC_RNDNN); inex_re = MPC_INEX_RE(ret_exp); inex_im = MPC_INEX_IM(ret_exp); if (mpfr_inf_p (mpc_realref (z))) inex_re = mpc_fix_inf (mpc_realref (z), MPC_RND_RE(rnd)); if (mpfr_inf_p (mpc_imagref (z))) { if (z_real) inex_im = mpfr_set_ui (mpc_imagref (z), 0, MPC_RND_IM(rnd)); else inex_im = mpc_fix_inf (mpc_imagref (z), MPC_RND_IM(rnd)); } ret = MPC_INEX(inex_re,inex_im); goto exact; } /* Since the error bound is global, we have to take into account the exponent difference between the real and imaginary parts. We assume either the real or the imaginary part of u is not zero. */ dr = mpfr_zero_p (mpc_realref(u)) ? mpfr_get_exp (mpc_imagref(u)) : mpfr_get_exp (mpc_realref(u)); di = mpfr_zero_p (mpc_imagref(u)) ? dr : mpfr_get_exp (mpc_imagref(u)); if (dr > di) { di = dr - di; dr = 0; } else { dr = di - dr; di = 0; } /* the term -3 takes into account the factor 4 in the complex error (see algorithms.tex) plus one due to the exponent difference: if z = a + I*b, where the relative error on z is at most 2^(-p), and EXP(a) = EXP(b) + k, the relative error on b is at most 2^(k-p) */ if ((z_imag || (p > q + 3 + dr && mpfr_can_round (mpc_realref(u), p - q - 3 - dr, MPFR_RNDN, MPFR_RNDZ, pr))) && (z_real || (p > q + 3 + di && mpfr_can_round (mpc_imagref(u), p - q - 3 - di, MPFR_RNDN, MPFR_RNDZ, pi)))) break; /* if Re(u) is not known to be zero, assume it is a normal number, i.e., neither zero, Inf or NaN, otherwise we might enter an infinite loop */ MPC_ASSERT (z_imag || mpfr_number_p (mpc_realref(u))); /* idem for Im(u) */ MPC_ASSERT (z_real || mpfr_number_p (mpc_imagref(u))); if (ret == -2) /* we did not yet call mpc_pow_exact, or it aborted because intermediate computations had > maxprec bits */ { /* check exact cases (see algorithms.tex) */ if (y_real) { maxprec *= 2; ret = mpc_pow_exact (z, x, mpc_realref(y), rnd, maxprec); if (ret != -1 && ret != -2) goto exact; } p += dr + di + 64; } else p += p / 2; try_again: mpc_set_prec (t, p); mpc_set_prec (u, p); } if (z_real) { /* When the result is real (see algorithm.tex for details) and x=x1 * (1 \pm i), y a positive integer divisible by 4, then Im(x^y) = 0i with a sign that cannot be determined (and is thus chosen as _1). Otherwise, Im(x^y) = + sign(imag(y))*0i, if |x| > 1 + sign(imag(x))*sign(real(y))*0i, if |x| = 1 - sign(imag(y))*0i, if |x| < 1 */ if (ramified) ret = MPC_INEX ( mpfr_set (mpc_realref(z), mpc_realref(u), MPC_RND_RE(rnd)), mpfr_set_ui (mpc_imagref (z), 0, MPFR_RNDN)); else { mpfr_t n; int inex, cx1; int sign_zi, sign_rex, sign_imx; /* cx1 < 0 if |x| < 1 cx1 = 0 if |x| = 1 cx1 > 0 if |x| > 1 */ sign_rex = mpfr_signbit (mpc_realref (x)); sign_imx = mpfr_signbit (mpc_imagref (x)); mpfr_init (n); inex = mpc_norm (n, x, MPFR_RNDN); cx1 = mpfr_cmp_ui (n, 1); if (cx1 == 0 && inex != 0) cx1 = -inex; sign_zi = (cx1 < 0 && mpfr_signbit (mpc_imagref (y)) == 0) || (cx1 == 0 && sign_imx != mpfr_signbit (mpc_realref (y))) || (cx1 > 0 && mpfr_signbit (mpc_imagref (y))); /* copy RE(y) to n since if z==y we will destroy Re(y) below */ mpfr_set_prec (n, mpfr_get_prec (mpc_realref (y))); mpfr_set (n, mpc_realref (y), MPFR_RNDN); ret = mpfr_set (mpc_realref(z), mpc_realref(u), MPC_RND_RE(rnd)); if (y_real && (x_real || x_imag)) { /* FIXME: with y_real we assume Im(y) is really 0, which is the case for example when y comes from pow_fr, but in case Im(y) is +0 or -0, we might get different results */ mpfr_set_ui (mpc_imagref (z), 0, MPC_RND_IM (rnd)); fix_sign (z, sign_rex, sign_imx, n); ret = MPC_INEX(ret, 0); /* imaginary part is exact */ } else { inex_im = mpfr_set_ui (mpc_imagref (z), 0, MPC_RND_IM (rnd)); ret = MPC_INEX (ret, inex_im); /* warning: mpfr_set_ui does not set Im(z) to -0 if Im(rnd) = RNDD */ if (MPC_RND_IM (rnd) == MPFR_RNDD || sign_zi) mpc_conj (z, z, MPC_RNDNN); } mpfr_clear (n); } } else if (z_imag) { if (ramified) ret = MPC_INEX ( mpfr_set_ui (mpc_realref (z), 0, MPFR_RNDN), mpfr_set (mpc_imagref(z), mpc_imagref(u), MPC_RND_IM(rnd))); else { ret = mpfr_set (mpc_imagref(z), mpc_imagref(u), MPC_RND_IM(rnd)); /* if z is imaginary and y real, then x cannot be real */ if (y_real && x_imag) { int sign_rex = mpfr_signbit (mpc_realref (x)); /* If z overlaps with y we set Re(z) before checking Re(y) below, but in that case y=0, which was dealt with above. */ mpfr_set_ui (mpc_realref (z), 0, MPC_RND_RE (rnd)); /* Note: fix_sign only does something when y is an integer, then necessarily y = 1 or 3 (mod 4), and in that case the sign of Im(x) is irrelevant. */ fix_sign (z, sign_rex, 0, mpc_realref (y)); ret = MPC_INEX(0, ret); } else { inex_re = mpfr_set_ui (mpc_realref(z), 0, MPC_RND_RE(rnd)); ret = MPC_INEX(inex_re, ret); } } } else ret = mpc_set (z, u, rnd); exact: mpc_clear (t); mpc_clear (u); /* restore underflow and overflow flags from MPFR */ if (saved_underflow) mpfr_set_underflow (); if (saved_overflow) mpfr_set_overflow (); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (z), MPC_INEX_RE(ret), MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (z), MPC_INEX_IM(ret), MPC_RND_IM (rnd)); ret = MPC_INEX(inex_re, inex_im); end: return ret; } mpc-1.3.1/src/imag.c0000644000175100017460000000156112426164730011102 00000000000000/* mpc_imag -- Get the imaginary part of a complex number. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_imag (mpfr_ptr a, mpc_srcptr b, mpfr_rnd_t rnd) { return mpfr_set (a, mpc_imagref (b), rnd); } mpc-1.3.1/src/cmp_si_si.c0000644000175100017460000000204212426164730012125 00000000000000/* mpc_cmp_si_si -- Compare a complex number to a number of the form b+c*i with b and c signed integers. Copyright (C) 2005, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff a = b */ int mpc_cmp_si_si (mpc_srcptr a, long int b, long int c) { int cmp_re, cmp_im; cmp_re = mpfr_cmp_si (mpc_realref(a), b); cmp_im = mpfr_cmp_si (mpc_imagref(a), c); return MPC_INEX(cmp_re, cmp_im); } mpc-1.3.1/src/atan.c0000644000175100017460000003464514345571363011127 00000000000000/* mpc_atan -- arctangent of a complex number. Copyright (C) 2009, 2010, 2011, 2012, 2013, 2017, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-impl.h" /* set rop to -pi/2 if s < 0 +pi/2 else rounded in the direction rnd */ int set_pi_over_2 (mpfr_ptr rop, int s, mpfr_rnd_t rnd) { int inex; inex = mpfr_const_pi (rop, s < 0 ? INV_RND (rnd) : rnd); mpfr_div_2ui (rop, rop, 1, MPFR_RNDN); if (s < 0) { inex = -inex; mpfr_neg (rop, rop, MPFR_RNDN); } return inex; } int mpc_atan (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { int s_re, s_im; int inex_re, inex_im, inex; mpfr_exp_t saved_emin, saved_emax; inex_re = 0; inex_im = 0; s_re = mpfr_signbit (mpc_realref (op)); s_im = mpfr_signbit (mpc_imagref (op)); /* special values */ if (mpfr_nan_p (mpc_realref (op)) || mpfr_nan_p (mpc_imagref (op))) { if (mpfr_nan_p (mpc_realref (op))) { mpfr_set_nan (mpc_realref (rop)); if (mpfr_zero_p (mpc_imagref (op)) || mpfr_inf_p (mpc_imagref (op))) { mpfr_set_ui (mpc_imagref (rop), 0, MPFR_RNDN); if (s_im) mpc_conj (rop, rop, MPC_RNDNN); } else mpfr_set_nan (mpc_imagref (rop)); } else { if (mpfr_inf_p (mpc_realref (op))) { inex_re = set_pi_over_2 (mpc_realref (rop), -s_re, MPC_RND_RE (rnd)); mpfr_set_ui (mpc_imagref (rop), 0, MPFR_RNDN); } else { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); } } return MPC_INEX (inex_re, 0); } if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { inex_re = set_pi_over_2 (mpc_realref (rop), -s_re, MPC_RND_RE (rnd)); mpfr_set_ui (mpc_imagref (rop), 0, MPFR_RNDN); if (s_im) mpc_conj (rop, rop, MPFR_RNDN); return MPC_INEX (inex_re, 0); } /* pure real argument */ if (mpfr_zero_p (mpc_imagref (op))) { inex_re = mpfr_atan (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); mpfr_set_ui (mpc_imagref (rop), 0, MPFR_RNDN); if (s_im) mpc_conj (rop, rop, MPFR_RNDN); return MPC_INEX (inex_re, 0); } /* pure imaginary argument */ if (mpfr_zero_p (mpc_realref (op))) { int cmp_1; if (s_im) cmp_1 = -mpfr_cmp_si (mpc_imagref (op), -1); else cmp_1 = mpfr_cmp_ui (mpc_imagref (op), +1); if (cmp_1 < 0) { /* atan(+0+iy) = +0 +i*atanh(y), if |y| < 1 atan(-0+iy) = -0 +i*atanh(y), if |y| < 1 */ mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); if (s_re) mpfr_neg (mpc_realref (rop), mpc_realref (rop), MPFR_RNDN); inex_im = mpfr_atanh (mpc_imagref (rop), mpc_imagref (op), MPC_RND_IM (rnd)); } else if (cmp_1 == 0) { /* atan(+/-0 +i) = +/-0 +i*inf atan(+/-0 -i) = +/-0 -i*inf */ mpfr_set_zero (mpc_realref (rop), s_re ? -1 : +1); mpfr_set_inf (mpc_imagref (rop), s_im ? -1 : +1); } else { /* atan(+0+iy) = +pi/2 +i*atanh(1/y), if |y| > 1 atan(-0+iy) = -pi/2 +i*atanh(1/y), if |y| > 1 */ mpfr_rnd_t rnd_im; mpfr_t y, z; mpfr_prec_t p, p_im; int ok = 0; rnd_im = MPC_RND_IM (rnd); mpfr_init (y); mpfr_init (z); p_im = mpfr_get_prec (mpc_imagref (rop)); p = p_im; /* a = o(1/y) with error(a) < ulp(a), rounded away b = o(atanh(a)) with error(b) < ulp(b) + 1/|a^2-1|*ulp(a), since if a = 1/y + eps, then atanh(a) = atanh(1/y) + eps * atanh'(t) with t in (1/y, a). Since a is rounded away, we have 1/y <= a <= 1 if y > 1, and -1 <= a <= 1/y if y < -1, thus |atanh'(t)| = 1/|t^2-1| <= 1/|a^2-1|. We round atanh(1/y) away from 0. */ do { mpfr_exp_t err, exp_a; p += mpc_ceil_log2 (p) + 2; mpfr_set_prec (y, p); mpfr_set_prec (z, p); inex_im = mpfr_ui_div (y, 1, mpc_imagref (op), MPFR_RNDA); exp_a = mpfr_get_exp (y); /* FIXME: should we consider the case with unreasonably huge precision prec(y)>3*exp_min, where atanh(1/Im(op)) could be representable while 1/Im(op) underflows ? This corresponds to |y| = 0.5*2^emin, in which case the result may be wrong. */ /* We would like to compute a rounded-up error bound 1/|a^2-1|, so we need to round down |a^2-1|, which means rounding up a^2 since |a|<1. */ mpfr_sqr (z, y, MPFR_RNDU); /* since |y| > 1, we should have |a| <= 1, thus a^2 <= 1 */ MPC_ASSERT(mpfr_cmp_ui (z, 1) <= 0); /* in case z=1, we should try again with more precision */ if (mpfr_cmp_ui (z, 1) == 0) continue; /* now z < 1 */ mpfr_ui_sub (z, 1, z, MPFR_RNDZ); /* atanh cannot underflow: |atanh(x)| > |x| for |x| < 1 */ inex_im |= mpfr_atanh (y, y, MPFR_RNDA); /* the error is now bounded by ulp(b) + 1/z*ulp(a), thus ulp(b) + 2^(exp(a) - exp(b) + 1 - exp(z)) * ulp(b) */ err = exp_a - mpfr_get_exp (y) + 1 - mpfr_get_exp (z); if (err >= 0) /* 1 + 2^err <= 2^(err+1) */ err = err + 1; else err = 1; /* 1 + 2^err <= 2^1 */ /* the error is bounded by 2^err ulps */ ok = inex_im == 0 || mpfr_can_round (y, p - err, MPFR_RNDA, MPFR_RNDZ, p_im + (rnd_im == MPFR_RNDN)); } while (ok == 0); inex_re = set_pi_over_2 (mpc_realref (rop), -s_re, MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (rop), y, rnd_im); mpfr_clear (y); mpfr_clear (z); } return MPC_INEX (inex_re, inex_im); } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); /* regular number argument */ { mpfr_t a, b, x, y; mpfr_prec_t prec, p; mpfr_exp_t err, expo; int ok = 0; mpfr_t minus_op_re; mpfr_exp_t op_re_exp, op_im_exp; mpfr_rnd_t rnd1, rnd2; mpfr_inits2 (MPFR_PREC_MIN, a, b, x, y, (mpfr_ptr) 0); /* real part: Re(arctan(x+i*y)) = [arctan2(x,1-y) - arctan2(-x,1+y)]/2 */ minus_op_re[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (minus_op_re); op_re_exp = mpfr_get_exp (mpc_realref (op)); op_im_exp = mpfr_get_exp (mpc_imagref (op)); prec = mpfr_get_prec (mpc_realref (rop)); /* result precision */ /* a = o(1-y) error(a) < 1 ulp(a) b = o(atan2(x,a)) error(b) < [1+2^{3+Exp(x)-Exp(a)-Exp(b)}] ulp(b) = kb ulp(b) c = o(1+y) error(c) < 1 ulp(c) d = o(atan2(-x,c)) error(d) < [1+2^{3+Exp(x)-Exp(c)-Exp(d)}] ulp(d) = kd ulp(d) e = o(b - d) error(e) < [1 + kb*2^{Exp(b}-Exp(e)} + kd*2^{Exp(d)-Exp(e)}] ulp(e) error(e) < [1 + 2^{4+Exp(x)-Exp(a)-Exp(e)} + 2^{4+Exp(x)-Exp(c)-Exp(e)}] ulp(e) because |atan(u)| < |u| < [1 + 2^{5+Exp(x)-min(Exp(a),Exp(c)) -Exp(e)}] ulp(e) f = e/2 exact */ /* p: working precision */ p = (op_im_exp > 0 || prec > SAFE_ABS (mpfr_prec_t, op_im_exp)) ? prec : (prec - op_im_exp); rnd1 = mpfr_sgn (mpc_realref (op)) > 0 ? MPFR_RNDD : MPFR_RNDU; rnd2 = mpfr_sgn (mpc_realref (op)) < 0 ? MPFR_RNDU : MPFR_RNDD; do { p += mpc_ceil_log2 (p) + 2; mpfr_set_prec (a, p); mpfr_set_prec (b, p); mpfr_set_prec (x, p); /* x = upper bound for atan (x/(1-y)). Since atan is increasing, we need an upper bound on x/(1-y), i.e., a lower bound on 1-y for x positive, and an upper bound on 1-y for x negative */ mpfr_ui_sub (a, 1, mpc_imagref (op), rnd1); if (mpfr_sgn (a) == 0) /* y is near 1, thus 1+y is near 2, and expo will be 1 or 2 below */ { MPC_ASSERT (mpfr_cmp_ui (mpc_imagref(op), 1) == 0); /* check for intermediate underflow */ err = 2; /* ensures err will be expo below */ } else err = mpfr_get_exp (a); /* err = Exp(a) with the notations above */ mpfr_atan2 (x, mpc_realref (op), a, MPFR_RNDU); /* b = lower bound for atan (-x/(1+y)): for x negative, we need a lower bound on -x/(1+y), i.e., an upper bound on 1+y */ mpfr_add_ui (a, mpc_imagref(op), 1, rnd2); /* if a is exactly zero, i.e., Im(op) = -1, then the error on a is 0, and we can simply ignore the terms involving Exp(a) in the error */ if (mpfr_sgn (a) == 0) { MPC_ASSERT (mpfr_cmp_si (mpc_imagref(op), -1) == 0); /* check for intermediate underflow */ expo = err; /* will leave err unchanged below */ } else expo = mpfr_get_exp (a); /* expo = Exp(c) with the notations above */ mpfr_atan2 (b, minus_op_re, a, MPFR_RNDD); err = err < expo ? err : expo; /* err = min(Exp(a),Exp(c)) */ mpfr_sub (x, x, b, MPFR_RNDU); err = 5 + op_re_exp - err - mpfr_get_exp (x); /* error is bounded by [1 + 2^err] ulp(e) */ err = err < 0 ? 1 : err + 1; mpfr_div_2ui (x, x, 1, MPFR_RNDU); /* Note: using RND2=RNDD guarantees that if x is exactly representable on prec + ... bits, mpfr_can_round will return 0 */ ok = mpfr_can_round (x, p - err, MPFR_RNDU, MPFR_RNDD, prec + (MPC_RND_RE (rnd) == MPFR_RNDN)); } while (ok == 0); /* Imaginary part Im(atan(x+I*y)) = 1/4 * [log(x^2+(1+y)^2) - log (x^2 +(1-y)^2)] */ prec = mpfr_get_prec (mpc_imagref (rop)); /* result precision */ /* a = o(1+y) error(a) < 1 ulp(a) b = o(a^2) error(b) < 5 ulp(b) c = o(x^2) error(c) < 1 ulp(c) d = o(b+c) error(d) < 7 ulp(d) e = o(log(d)) error(e) < [1 + 7*2^{2-Exp(e)}] ulp(e) = ke ulp(e) f = o(1-y) error(f) < 1 ulp(f) g = o(f^2) error(g) < 5 ulp(g) h = o(c+f) error(h) < 7 ulp(h) i = o(log(h)) error(i) < [1 + 7*2^{2-Exp(i)}] ulp(i) = ki ulp(i) j = o(e-i) error(j) < [1 + ke*2^{Exp(e)-Exp(j)} + ki*2^{Exp(i)-Exp(j)}] ulp(j) error(j) < [1 + 2^{Exp(e)-Exp(j)} + 2^{Exp(i)-Exp(j)} + 7*2^{3-Exp(j)}] ulp(j) < [1 + 2^{max(Exp(e),Exp(i))-Exp(j)+1} + 7*2^{3-Exp(j)}] ulp(j) k = j/4 exact */ err = 2; p = prec; /* working precision */ do { p += mpc_ceil_log2 (p) + err; mpfr_set_prec (a, p); mpfr_set_prec (b, p); mpfr_set_prec (y, p); /* a = upper bound for log(x^2 + (1+y)^2) */ mpfr_add_ui (a, mpc_imagref (op), 1, MPFR_RNDA); mpfr_sqr (a, a, MPFR_RNDU); mpfr_sqr (y, mpc_realref (op), MPFR_RNDU); mpfr_add (a, a, y, MPFR_RNDU); mpfr_log (a, a, MPFR_RNDU); /* b = lower bound for log(x^2 + (1-y)^2) */ mpfr_ui_sub (b, 1, mpc_imagref (op), MPFR_RNDZ); /* round to zero */ mpfr_sqr (b, b, MPFR_RNDZ); /* we could write mpfr_sqr (y, mpc_realref (op), MPFR_RNDZ) but it is more efficient to reuse the value of y (x^2) above and subtract one ulp */ mpfr_nextbelow (y); mpfr_add (b, b, y, MPFR_RNDZ); mpfr_log (b, b, MPFR_RNDZ); mpfr_sub (y, a, b, MPFR_RNDU); if (mpfr_zero_p (y)) /* FIXME: happens when x and y have very different magnitudes; could be handled more efficiently */ ok = 0; else { expo = MPC_MAX (mpfr_get_exp (a), mpfr_get_exp (b)); expo = expo - mpfr_get_exp (y) + 1; err = 3 - mpfr_get_exp (y); /* error(j) <= [1 + 2^expo + 7*2^err] ulp(j) */ if (expo <= err) /* error(j) <= [1 + 2^{err+1}] ulp(j) */ err = (err < 0) ? 1 : err + 2; else err = (expo < 0) ? 1 : expo + 2; mpfr_div_2ui (y, y, 2, MPFR_RNDN); MPC_ASSERT (!mpfr_zero_p (y)); /* FIXME: underflow. Since the main term of the Taylor series in y=0 is 1/(x^2+1) * y, this means that y is very small and/or x very large; but then the mpfr_zero_p (y) above should be true. This needs a proof, or better yet, special code. */ ok = mpfr_can_round (y, p - err, MPFR_RNDU, MPFR_RNDD, prec + (MPC_RND_IM (rnd) == MPFR_RNDN)); } } while (ok == 0); inex = mpc_set_fr_fr (rop, x, y, rnd); mpfr_clears (a, b, x, y, (mpfr_ptr) 0); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (rop), MPC_INEX_RE (inex), MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (rop), MPC_INEX_IM (inex), MPC_RND_IM (rnd)); return MPC_INEX (inex_re, inex_im); } } mpc-1.3.1/src/div_2si.c0000644000175100017460000000203112426164730011515 00000000000000/* mpc_div_2si -- Divide a complex number by 2^e. Copyright (C) 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_div_2si (mpc_ptr a, mpc_srcptr b, long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_div_2si (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_div_2si (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/pow_z.c0000644000175100017460000000274412426164730011327 00000000000000/* mpc_pow_z -- Raise a complex number to an integer power. Copyright (C) 2009, 2010 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_pow_z (mpc_ptr z, mpc_srcptr x, mpz_srcptr y, mpc_rnd_t rnd) { mpc_t yy; int inex; mpfr_prec_t n = (mpfr_prec_t) mpz_sizeinbase (y, 2); /* if y fits in an unsigned long or long, call the corresponding functions, which are supposed to be more efficient */ if (mpz_cmp_ui (y, 0ul) >= 0) { if (mpz_fits_ulong_p (y)) return mpc_pow_usi (z, x, mpz_get_ui (y), 1, rnd); } else { if (mpz_fits_slong_p (y)) return mpc_pow_usi (z, x, (unsigned long) (-mpz_get_si (y)), -1, rnd); } mpc_init3 (yy, (n < MPFR_PREC_MIN) ? MPFR_PREC_MIN : n, MPFR_PREC_MIN); mpc_set_z (yy, y, MPC_RNDNN); /* exact */ inex = mpc_pow (z, x, yy, rnd); mpc_clear (yy); return inex; } mpc-1.3.1/src/acosh.c0000644000175100017460000000436612426164730011270 00000000000000/* mpc_acosh -- inverse hyperbolic cosine of a complex number. Copyright (C) 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_acosh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* acosh(z) = NaN + i*NaN, if z=0+i*NaN -i*acos(z), if sign(Im(z)) = - i*acos(z), if sign(Im(z)) = + http://functions.wolfram.com/ElementaryFunctions/ArcCosh/27/02/03/01/01/ */ mpc_t a; mpfr_t tmp; int inex; if (mpfr_zero_p (mpc_realref (op)) && mpfr_nan_p (mpc_imagref (op))) { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); return 0; } /* Note reversal of precisions due to later multiplication by i or -i */ mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop)); if (mpfr_signbit (mpc_imagref (op))) { inex = mpc_acos (a, op, MPC_RND (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd))); /* change a to -i*a, i.e., -y+i*x to x+i*y */ tmp[0] = mpc_realref (a)[0]; mpc_realref (a)[0] = mpc_imagref (a)[0]; mpc_imagref (a)[0] = tmp[0]; MPFR_CHANGE_SIGN (mpc_imagref (a)); inex = MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex)); } else { inex = mpc_acos (a, op, MPC_RND (MPC_RND_IM (rnd), INV_RND(MPC_RND_RE (rnd)))); /* change a to i*a, i.e., y-i*x to x+i*y */ tmp[0] = mpc_realref (a)[0]; mpc_realref (a)[0] = mpc_imagref (a)[0]; mpc_imagref (a)[0] = tmp[0]; MPFR_CHANGE_SIGN (mpc_realref (a)); inex = MPC_INEX (-MPC_INEX_IM (inex), MPC_INEX_RE (inex)); } mpc_set (rop, a, rnd); mpc_clear (a); return inex; } mpc-1.3.1/src/mul_2ui.c0000644000175100017460000000206612426164730011542 00000000000000/* mpc_mul_2ui -- Multiply a complex number by 2^e. Copyright (C) 2002, 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_2ui (mpc_ptr a, mpc_srcptr b, unsigned long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_mul_2ui (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_mul_2ui (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/sub.c0000644000175100017460000000205712426164730010757 00000000000000/* mpc_sub -- Subtract two complex numbers. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_sub (mpc_ptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_sub (mpc_realref(a), mpc_realref(b), mpc_realref(c), MPC_RND_RE(rnd)); inex_im = mpfr_sub (mpc_imagref(a), mpc_imagref(b), mpc_imagref(c), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/mul_si.c0000644000175100017460000000206412426164730011454 00000000000000/* mpc_mul_si -- Multiply a complex number by a signed integer. Copyright (C) 2005, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_si (mpc_ptr a, mpc_srcptr b, long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_mul_si (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_mul_si (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/asin.c0000644000175100017460000004625214345571363011133 00000000000000/* mpc_asin -- arcsine of a complex number. Copyright (C) 2009, 2010, 2011, 2012, 2013, 2014, 2020, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include /* for ULONG_MAX */ #include "mpc-impl.h" /* Special case op = 1 + i*y for tiny y (see algorithms.tex). Return 0 if special formula fails, otherwise put in z1 the approximate value which needs to be converted to rop. z1 is a temporary variable with enough precision. */ static int mpc_asin_special (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd, mpc_ptr z1) { mpfr_exp_t ey = mpfr_get_exp (mpc_imagref (op)); mpfr_t abs_y; mpfr_prec_t p; int inex; /* |Re(asin(1+i*y)) - pi/2| <= y^(1/2) */ if (ey >= 0 || ((-ey) / 2 < mpfr_get_prec (mpc_realref (z1)))) return 0; mpfr_const_pi (mpc_realref (z1), MPFR_RNDN); mpfr_div_2exp (mpc_realref (z1), mpc_realref (z1), 1, MPFR_RNDN); /* exact */ p = mpfr_get_prec (mpc_realref (z1)); /* if z1 has precision p, the error on z1 is 1/2*ulp(z1) = 2^(-p) so far, and since ey <= -2p, then y^(1/2) <= 1/2*ulp(z1) too, thus the total error is bounded by ulp(z1) */ if (!mpfr_can_round (mpc_realref(z1), p, MPFR_RNDN, MPFR_RNDZ, mpfr_get_prec (mpc_realref(rop)) + (MPC_RND_RE(rnd) == MPFR_RNDN))) return 0; /* |Im(asin(1+i*y)) - y^(1/2)| <= (1/12) * y^(3/2) for y >= 0 (err >= 0) |Im(asin(1-i*y)) + y^(1/2)| <= (1/12) * y^(3/2) for y >= 0 (err <= 0) */ abs_y[0] = mpc_imagref (op)[0]; if (mpfr_signbit (mpc_imagref (op))) MPFR_CHANGE_SIGN (abs_y); inex = mpfr_sqrt (mpc_imagref (z1), abs_y, MPFR_RNDN); /* error <= 1/2 ulp */ if (mpfr_signbit (mpc_imagref (op))) MPFR_CHANGE_SIGN (mpc_imagref (z1)); /* If z1 has precision p, the error on z1 is 1/2*ulp(z1) = 2^(-p) so far, and (1/12) * y^(3/2) <= (1/8) * y * y^(1/2) <= 2^(ey-3)*2^p*ulp(y^(1/2)) thus for p+ey-3 <= -1 we have (1/12) * y^(3/2) <= (1/2) * ulp(y^(1/2)), and the total error is bounded by ulp(z1). Note: if y^(1/2) is exactly representable, and ends with many zeroes, then mpfr_can_round below will fail; however in that case we know that Im(asin(1+i*y)) is away from +/-y^(1/2) wrt zero. */ if (inex == 0) /* enlarge im(z1) so that the inexact flag is correct */ { if (mpfr_signbit (mpc_imagref (op))) mpfr_nextbelow (mpc_imagref (z1)); else mpfr_nextabove (mpc_imagref (z1)); return 1; } p = mpfr_get_prec (mpc_imagref (z1)); if (!mpfr_can_round (mpc_imagref(z1), p - 1, MPFR_RNDA, MPFR_RNDZ, mpfr_get_prec (mpc_imagref(rop)) + (MPC_RND_IM(rnd) == MPFR_RNDN))) return 0; return 1; } /* Put in s an approximation of asin(z) using: asin z = z + 1/2*z^3/3 + (1*3)/(2*4)*z^5/5 + ... Assume |Re(z)|, |Im(z)| < 1/2. Return non-zero if we can get the correct result by rounding s: mpc_set (rop, s, ...) */ static int mpc_asin_series (mpc_srcptr rop, mpc_ptr s, mpc_srcptr z, mpc_rnd_t rnd) { mpc_t w, t; unsigned long k, err, kx, ky; mpfr_prec_t p; mpfr_exp_t ex, ey, e; /* assume z = (x,y) with |x|,|y| < 2^(-e) with e >= 1, see the error analysis in algorithms.tex */ ex = mpfr_get_exp (mpc_realref (z)); MPC_ASSERT(ex <= -1); ey = mpfr_get_exp (mpc_imagref (z)); MPC_ASSERT(ey <= -1); e = (ex >= ey) ? ex : ey; e = -e; /* now e >= 1 */ p = mpfr_get_prec (mpc_realref (s)); /* working precision */ MPC_ASSERT(mpfr_get_prec (mpc_imagref (s)) == p); mpc_init2 (w, p); mpc_init2 (t, p); mpc_set (s, z, MPC_RNDNN); mpc_sqr (w, z, MPC_RNDNN); mpc_set (t, z, MPC_RNDNN); for (k = 1; ;k++) { mpfr_exp_t exp_x, exp_y; mpc_mul (t, t, w, MPC_RNDNN); mpc_mul_ui (t, t, (2 * k - 1) * (2 * k - 1), MPC_RNDNN); mpc_div_ui (t, t, (2 * k) * (2 * k + 1), MPC_RNDNN); exp_x = mpfr_get_exp (mpc_realref (s)); exp_y = mpfr_get_exp (mpc_imagref (s)); if (mpfr_get_exp (mpc_realref (t)) < exp_x - p && mpfr_get_exp (mpc_imagref (t)) < exp_y - p) /* Re(t) < 1/2 ulp(Re(s)) and Im(t) < 1/2 ulp(Im(s)), thus adding t to s will not change s */ break; mpc_add (s, s, t, MPC_RNDNN); } mpc_clear (w); mpc_clear (t); /* check (2k-1)^2 is exactly representable */ MPC_ASSERT(2 * k - 1 <= ULONG_MAX / (2 * k - 1)); /* maximal absolute error on Re(s),Im(s) is: (5k-3)k/2*2^(-1-p) for e=1 5k/2*2^(-e-p) for e >= 2 */ if (e == 1) { MPC_ASSERT(5 * k - 3 <= ULONG_MAX / k); kx = (5 * k - 3) * k; } else kx = 5 * k; kx = (kx + 1) / 2; /* takes into account the 1/2 factor in both cases */ /* now (5k-3)k/2 <= kx for e=1, and 5k/2 <= kx for e >= 2, thus the maximal absolute error on Re(s),Im(s) is bounded by kx*2^(-e-p) */ e = -e; ky = kx; /* for the real part, convert the maximal absolute error kx*2^(e-p) into relative error */ ex = mpfr_get_exp (mpc_realref (s)); /* ulp(Re(s)) = 2^(ex+1-p) */ err = 0; /* invariant: the error will be kx*2^err */ if (ex + 1 > e) /* divide kx by 2^(ex+1-e) */ while (ex + 1 > e) { kx = (kx + 1) / 2; ex--; } else /* multiply the error by 2^(e-(ex+1)), thus add e-(ex+1) to err */ err += e - (ex + 1); /* now the rounding error is bounded by kx*2^err*ulp(Re(s)), add the mathematical error which is bounded by ulp(Re(s)): the first neglected term is less than 1/2*ulp(Re(s)), and each term decreases by at least a factor 2, since |z^2| <= 1/2. */ kx++; for (; kx > 2; err++, kx = (kx + 1) / 2); /* can we round Re(s) with error less than 2^(EXP(Re(s))-err) ? */ if (!mpfr_can_round (mpc_realref (s), p - err, MPFR_RNDN, MPFR_RNDZ, mpfr_get_prec (mpc_realref (rop)) + (MPC_RND_RE(rnd) == MPFR_RNDN))) return 0; /* same for the imaginary part */ ey = mpfr_get_exp (mpc_imagref (s)); /* we take for e the exponent of Im(z), which amounts to divide the error by 2^delta where delta is the exponent difference between Re(z) and Im(z) (see algorithms.tex) */ e = mpfr_get_exp (mpc_imagref (z)); /* ulp(Im(s)) = 2^(ey+1-p) */ if (ey + 1 > e) /* divide ky by 2^(ey+1-e) */ while (ey + 1 > e) { ky = (ky + 1) / 2; ey--; } else /* multiply ky by 2^(e-(ey+1)) */ ky <<= e - (ey + 1); /* now the rounding error is bounded by ky*ulp(Im(s)), add the mathematical error which is bounded by ulp(Im(s)): the first neglected term is less than 1/2*ulp(Im(s)), and each term decreases by at least a factor 2, since |z^2| <= 1/2. */ ky++; for (err = 0; ky > 2; err++, ky = (ky + 1) / 2); /* can we round Im(s) with error less than 2^(EXP(Im(s))-err) ? */ return mpfr_can_round (mpc_imagref (s), p - err, MPFR_RNDN, MPFR_RNDZ, mpfr_get_prec (mpc_imagref (rop)) + (MPC_RND_IM(rnd) == MPFR_RNDN)); } static int /* bool */ asin_taylor1 (int *inex, mpc_ptr rop, mpc_srcptr z, mpc_rnd_t rnd) /* Write z = x + i*y and assume |x| < 1/2 and |y| < 1/4, that is, Exp (x) <= -1 and Exp (y) <= -2; this also implies |z| < 1. The function computes the Taylor series of order 1 around x asin (z) \approx asin (x) + i * y / sqrt (1 - x^2) with error term bounded above by Pi/2 * beta^2 / (1 - beta) where beta = |y| / (1 - |x|), see algorithms.tex. If the result can be rounded in direction rnd to rop, the value is stored in rop, the inexact value is stored in inex, and true is returned; otherwise rop and inex are not changed, and false is returned. */ { mpfr_exp_t ex, ey, es, err; mpfr_prec_t prec_re, prec_im, prec; mpfr_srcptr x, y; mpfr_t s, t; int inex_re, inex_im, ok; /* We have asin (x) ~ x, |y| <= |y| / sqrt (1 - x^2) <= sqrt (4/3) * |y|, beta <= 2 * |y| < 1/2, 1 / 1 - beta < 2 and the error term is bounded above by 4 * Pi * |y|^2 < 13 * |y|^2 < 16 * |y|^2. So to have a chance to round the imaginary part, we need roughly log_2 (error term) \approx 2 * Exp (y) + 4 <= log_2 (ulp (y)) \approx Exp (y) - prec (imag (rop)), or Exp (y) <= -prec (imag (rop)) - 4. For the real part, we need 2 * Exp (y) + 4 <= Exp (x) - prec (real (rop)), or Exp (x) >= 2 * Exp (y) + 4 + prec (real (rop)). Check this first. */ x = mpc_realref (z); y = mpc_imagref (z); ex = mpfr_get_exp (x); ey = mpfr_get_exp (y); prec_re = mpfr_get_prec (mpc_realref (rop)); prec_im = mpfr_get_prec (mpc_imagref (rop)); if (ey > - prec_im - 4 || ex < 2 * ey + 4 + prec_re) return 0; /* Real part. */ prec = prec_re + 7; mpfr_init2 (s, prec); mpfr_asin (s, x, MPFR_RNDN); /* The error is bounded above by 13*|y|^2 + 1/2 * 2^(Exp (s) - prec) <= 2^(max (2 * Exp (y) + 5, Exp (s) - prec)). */ es = mpfr_get_exp (s); err = MPC_MAX (2 * ey + 5, es - prec); ok = mpfr_can_round (s, es - err, MPFR_RNDN, MPFR_RNDZ, mpfr_get_prec (mpc_realref (rop)) + (MPC_RND_RE (rnd) == MPFR_RNDN)); if (ok) { /* Imaginary part. */ prec = prec_im + 7; mpfr_init2 (t, prec); mpfr_mul (t, x, x, MPFR_RNDU); /* 0 < t <= 1/4, error 1 ulp */ mpfr_ui_sub (t, 1, t, MPFR_RNDD); /* 3/4 <= t < 1, error 2 ulp, epsilon- = 0 since rounded down */ mpfr_sqrt (t, t, MPFR_RNDD); /* error 3 ulp: propagation error stable since epsilon- = 0, 1 ulp for rounding; see ssec:proprealsqrt in algorithms.tex */ mpfr_div (t, y, t, MPFR_RNDA); /* error 7 ulp: since denominator rounded down, previous error multiplied by 2, 1 ulp additional rounding error */ ok = mpfr_can_round (t, prec - 3, MPFR_RNDA, MPFR_RNDZ, mpfr_get_prec (mpc_imagref (rop)) + (MPC_RND_IM (rnd) == MPFR_RNDN)); if (ok) { inex_re = mpfr_set (mpc_realref (rop), s, MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (rop), t, MPC_RND_IM (rnd)); *inex = MPC_INEX (inex_re, inex_im); } mpfr_clear (t); } mpfr_clear (s); return ok; } int mpc_asin (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { mpfr_prec_t p, p_re, p_im; mpfr_rnd_t rnd_re, rnd_im; mpc_t z1; int inex, inex_re, inex_im, loop = 0; mpfr_exp_t saved_emin, saved_emax, err, olderr; /* special values */ if (mpfr_nan_p (mpc_realref (op)) || mpfr_nan_p (mpc_imagref (op))) { if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { mpfr_set_nan (mpc_realref (rop)); mpfr_set_inf (mpc_imagref (rop), mpfr_signbit (mpc_imagref (op)) ? -1 : +1); } else if (mpfr_zero_p (mpc_realref (op))) { mpfr_set (mpc_realref (rop), mpc_realref (op), MPFR_RNDN); mpfr_set_nan (mpc_imagref (rop)); } else { mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); } return 0; } if (mpfr_inf_p (mpc_realref (op)) || mpfr_inf_p (mpc_imagref (op))) { if (mpfr_inf_p (mpc_realref (op))) { int inf_im = mpfr_inf_p (mpc_imagref (op)); inex_re = set_pi_over_2 (mpc_realref (rop), (mpfr_signbit (mpc_realref (op)) ? -1 : 1), MPC_RND_RE (rnd)); mpfr_set_inf (mpc_imagref (rop), (mpfr_signbit (mpc_imagref (op)) ? -1 : 1)); if (inf_im) mpfr_div_2ui (mpc_realref (rop), mpc_realref (rop), 1, MPFR_RNDN); } else { mpfr_set_zero (mpc_realref (rop), (mpfr_signbit (mpc_realref (op)) ? -1 : 1)); inex_re = 0; mpfr_set_inf (mpc_imagref (rop), (mpfr_signbit (mpc_imagref (op)) ? -1 : 1)); } return MPC_INEX (inex_re, 0); } /* pure real argument */ if (mpfr_zero_p (mpc_imagref (op))) { int s_im; s_im = mpfr_signbit (mpc_imagref (op)); if (mpfr_cmp_ui (mpc_realref (op), 1) > 0) { if (s_im) inex_im = -mpfr_acosh (mpc_imagref (rop), mpc_realref (op), INV_RND (MPC_RND_IM (rnd))); else inex_im = mpfr_acosh (mpc_imagref (rop), mpc_realref (op), MPC_RND_IM (rnd)); inex_re = set_pi_over_2 (mpc_realref (rop), (mpfr_signbit (mpc_realref (op)) ? -1 : 1), MPC_RND_RE (rnd)); if (s_im) mpc_conj (rop, rop, MPC_RNDNN); } else if (mpfr_cmp_si (mpc_realref (op), -1) < 0) { mpfr_t minus_op_re; minus_op_re[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (minus_op_re); if (s_im) inex_im = -mpfr_acosh (mpc_imagref (rop), minus_op_re, INV_RND (MPC_RND_IM (rnd))); else inex_im = mpfr_acosh (mpc_imagref (rop), minus_op_re, MPC_RND_IM (rnd)); inex_re = set_pi_over_2 (mpc_realref (rop), (mpfr_signbit (mpc_realref (op)) ? -1 : 1), MPC_RND_RE (rnd)); if (s_im) mpc_conj (rop, rop, MPC_RNDNN); } else { inex_im = mpfr_set_ui (mpc_imagref (rop), 0, MPC_RND_IM (rnd)); if (s_im) mpfr_neg (mpc_imagref (rop), mpc_imagref (rop), MPFR_RNDN); inex_re = mpfr_asin (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); } return MPC_INEX (inex_re, inex_im); } /* pure imaginary argument */ if (mpfr_zero_p (mpc_realref (op))) { int s; s = mpfr_signbit (mpc_realref (op)); mpfr_set_ui (mpc_realref (rop), 0, MPFR_RNDN); if (s) mpfr_neg (mpc_realref (rop), mpc_realref (rop), MPFR_RNDN); inex_im = mpfr_asinh (mpc_imagref (rop), mpc_imagref (op), MPC_RND_IM (rnd)); return MPC_INEX (0, inex_im); } /* Try special code for |x| < 1/2 and |y| < 1/4. */ if (mpfr_get_exp (mpc_realref (op)) <= -1 && mpfr_get_exp (mpc_imagref (op)) <= -2) { if (asin_taylor1 (&inex, rop, op, rnd)) return inex; } saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); /* regular complex: asin(z) = -i*log(i*z+sqrt(1-z^2)) */ p_re = mpfr_get_prec (mpc_realref(rop)); p_im = mpfr_get_prec (mpc_imagref(rop)); rnd_re = MPC_RND_RE(rnd); rnd_im = MPC_RND_IM(rnd); p = p_re >= p_im ? p_re : p_im; mpc_init2 (z1, p); olderr = err = 0; /* number of lost bits */ while (1) { mpfr_exp_t ex, ey; loop ++; p += err - olderr; /* add extra number of lost bits in previous loop */ olderr = err; p += (loop <= 2) ? mpc_ceil_log2 (p) + 3 : p / 2; mpc_set_prec (z1, p); /* try special code for 1+i*y with tiny y */ if (loop == 1 && mpfr_cmp_ui (mpc_realref(op), 1) == 0 && mpc_asin_special (rop, op, rnd, z1)) break; /* try special code for small z */ if (mpfr_get_exp (mpc_realref (op)) <= -1 && mpfr_get_exp (mpc_imagref (op)) <= -1 && mpc_asin_series (rop, z1, op, rnd)) break; /* z1 <- z^2 */ mpc_sqr (z1, op, MPC_RNDNN); /* err(x) <= 1/2 ulp(x), err(y) <= 1/2 ulp(y) */ /* z1 <- 1-z1 */ ex = mpfr_get_exp (mpc_realref(z1)); mpfr_ui_sub (mpc_realref(z1), 1, mpc_realref(z1), MPFR_RNDN); mpfr_neg (mpc_imagref(z1), mpc_imagref(z1), MPFR_RNDN); /* if Re(z1) = 0, we can't determine the relative error */ if (mpfr_zero_p (mpc_realref(z1))) continue; ex = ex - mpfr_get_exp (mpc_realref(z1)); ex = (ex <= 0) ? 0 : ex; /* err(x) <= 2^ex * ulp(x) */ ex = ex + mpfr_get_exp (mpc_realref(z1)) - p; /* err(x) <= 2^ex */ ey = mpfr_get_exp (mpc_imagref(z1)) - p - 1; /* err(y) <= 2^ey */ ex = (ex >= ey) ? ex : ey; /* err(x), err(y) <= 2^ex, i.e., the norm of the error is bounded by |h|<=2^(ex+1/2) */ /* z1 <- sqrt(z1): if z1 = z + h, then sqrt(z1) = sqrt(z) + h/2/sqrt(t) */ ey = mpfr_get_exp (mpc_realref(z1)) >= mpfr_get_exp (mpc_imagref(z1)) ? mpfr_get_exp (mpc_realref(z1)) : mpfr_get_exp (mpc_imagref(z1)); /* we have |z1| >= 2^(ey-1) thus 1/|z1| <= 2^(1-ey) */ mpc_sqrt (z1, z1, MPC_RNDNN); ex = (2 * ex + 1) - 2 - (ey - 1); /* |h^2/4/|t| <= 2^ex */ ex = (ex + 1) / 2; /* ceil(ex/2) */ /* express ex in terms of ulp(z1) */ ey = mpfr_get_exp (mpc_realref(z1)) <= mpfr_get_exp (mpc_imagref(z1)) ? mpfr_get_exp (mpc_realref(z1)) : mpfr_get_exp (mpc_imagref(z1)); ex = ex - ey + p; /* take into account the rounding error in the mpc_sqrt call */ err = (ex <= 0) ? 1 : ex + 1; /* err(x) <= 2^err * ulp(x), err(y) <= 2^err * ulp(y) */ /* z1 <- i*z + z1 */ ex = mpfr_get_exp (mpc_realref(z1)); ey = mpfr_get_exp (mpc_imagref(z1)); mpfr_sub (mpc_realref(z1), mpc_realref(z1), mpc_imagref(op), MPFR_RNDN); mpfr_add (mpc_imagref(z1), mpc_imagref(z1), mpc_realref(op), MPFR_RNDN); if (mpfr_zero_p (mpc_realref(z1)) || mpfr_zero_p (mpc_imagref(z1))) continue; ex -= mpfr_get_exp (mpc_realref(z1)); /* cancellation in x */ ey -= mpfr_get_exp (mpc_imagref(z1)); /* cancellation in y */ ex = (ex >= ey) ? ex : ey; /* maximum cancellation */ err += ex; err = (err <= 0) ? 1 : err + 1; /* rounding error in sub/add */ /* z1 <- log(z1): if z1 = z + h, then log(z1) = log(z) + h/t with |t| >= min(|z1|,|z|) */ ex = mpfr_get_exp (mpc_realref(z1)); ey = mpfr_get_exp (mpc_imagref(z1)); ex = (ex >= ey) ? ex : ey; err += ex - p; /* revert to absolute error <= 2^err */ mpc_log (z1, z1, MPFR_RNDN); err -= ex - 1; /* 1/|t| <= 1/|z| <= 2^(1-ex) */ /* express err in terms of ulp(z1) */ ey = mpfr_get_exp (mpc_realref(z1)) <= mpfr_get_exp (mpc_imagref(z1)) ? mpfr_get_exp (mpc_realref(z1)) : mpfr_get_exp (mpc_imagref(z1)); err = err - ey + p; /* take into account the rounding error in the mpc_log call */ err = (err <= 0) ? 1 : err + 1; /* z1 <- -i*z1 */ mpfr_swap (mpc_realref(z1), mpc_imagref(z1)); mpfr_neg (mpc_imagref(z1), mpc_imagref(z1), MPFR_RNDN); if (mpfr_can_round (mpc_realref(z1), p - err, MPFR_RNDN, MPFR_RNDZ, p_re + (rnd_re == MPFR_RNDN)) && mpfr_can_round (mpc_imagref(z1), p - err, MPFR_RNDN, MPFR_RNDZ, p_im + (rnd_im == MPFR_RNDN))) break; } inex = mpc_set (rop, z1, rnd); mpc_clear (z1); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (rop), MPC_INEX_RE (inex), MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (rop), MPC_INEX_IM (inex), MPC_RND_IM (rnd)); return MPC_INEX (inex_re, inex_im); } mpc-1.3.1/src/div_fr.c0000644000175100017460000000237213227377425011446 00000000000000/* mpc_div_fr -- Divide a complex number by a floating-point number. Copyright (C) 2002, 2008, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_div_fr (mpc_ptr a, mpc_srcptr b, mpfr_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; mpfr_t real; /* We have to use temporary variable in case c=mpc_realref (a). */ mpfr_init2 (real, MPC_PREC_RE (a)); inex_re = mpfr_div (real, mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_div (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); mpfr_set (mpc_realref (a), real, MPFR_RNDN); mpfr_clear (real); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/sinh.c0000644000175100017460000000317412426164730011130 00000000000000/* mpc_sinh -- hyperbolic sine of a complex number. Copyright (C)2008, 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_sinh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* sinh(op) = -i*sin(i*op) = conj(-i*sin(conj(-i*op))) */ mpc_t z; mpc_t sin_z; int inex; /* z := conj(-i * op) and rop = conj(-i * sin(z)), in other words, we have to switch real and imaginary parts. Let us set them without copying significands. */ mpc_realref (z)[0] = mpc_imagref (op)[0]; mpc_imagref (z)[0] = mpc_realref (op)[0]; mpc_realref (sin_z)[0] = mpc_imagref (rop)[0]; mpc_imagref (sin_z)[0] = mpc_realref (rop)[0]; inex = mpc_sin (sin_z, z, MPC_RND (MPC_RND_IM (rnd), MPC_RND_RE (rnd))); /* sin_z and rop parts share the same significands, copy the rest now. */ mpc_realref (rop)[0] = mpc_imagref (sin_z)[0]; mpc_imagref (rop)[0] = mpc_realref (sin_z)[0]; /* swap inexact flags for real and imaginary parts */ return MPC_INEX (MPC_INEX_IM (inex), MPC_INEX_RE (inex)); } mpc-1.3.1/src/div_ui.c0000644000175100017460000000207412426164730011444 00000000000000/* mpc_div_ui -- Divide a complex number by a nonnegative integer. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_div_ui (mpc_ptr a, mpc_srcptr b, unsigned long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_div_ui (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_div_ui (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/atanh.c0000644000175100017460000000303713067441460011260 00000000000000/* mpc_atanh -- inverse hyperbolic tangent of a complex number. Copyright (C) 2009, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_atanh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* atanh(op) = -i*atan(i*op) */ int inex; mpfr_t tmp; mpc_t z, a; mpc_realref (z)[0] = mpc_imagref (op)[0]; mpc_imagref (z)[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (mpc_realref (z)); /* Note reversal of precisions due to later multiplication by -i */ mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop)); inex = mpc_atan (a, z, MPC_RND (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd))); /* change a to -i*a, i.e., x+i*y to y-i*x */ tmp[0] = mpc_realref (a)[0]; mpc_realref (a)[0] = mpc_imagref (a)[0]; mpc_imagref (a)[0] = tmp[0]; MPFR_CHANGE_SIGN (mpc_imagref (a)); mpc_set (rop, a, rnd); mpc_clear (a); return MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex)); } mpc-1.3.1/src/cosh.c0000644000175100017460000000206612426164730011122 00000000000000/* mpc_cosh -- hyperbolic cosine of a complex number. Copyright (C) 2008, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_cosh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { /* cosh(op) = cos(i*op) */ mpc_t z; /* z = i*op without copying significand */ mpc_realref (z)[0] = mpc_imagref (op)[0]; mpc_imagref (z)[0] = mpc_realref (op)[0]; MPFR_CHANGE_SIGN (mpc_realref (z)); return mpc_cos (rop, z, rnd); } mpc-1.3.1/src/set_x.c0000644000175100017460000000507614345571363011322 00000000000000/* mpc_set_x -- Set the real part of a complex number (imaginary part equals +0 regardless of rounding mode). Copyright (C) 2008, 2009, 2010, 2011, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "config.h" #ifdef HAVE_COMPLEX_H # include #endif #include "mpc-impl.h" #define MPC_SET_X(real_t, z, real_value, rnd) \ { \ int _inex_re, _inex_im; \ _inex_re = (mpfr_set_ ## real_t) (mpc_realref (z), (real_value), MPC_RND_RE (rnd)); \ _inex_im = mpfr_set_ui (mpc_imagref (z), 0, MPC_RND_IM (rnd)); \ return MPC_INEX (_inex_re, _inex_im); \ } int mpc_set_fr (mpc_ptr a, mpfr_srcptr b, mpc_rnd_t rnd) MPC_SET_X (fr, a, b, rnd) int mpc_set_d (mpc_ptr a, double b, mpc_rnd_t rnd) MPC_SET_X (d, a, b, rnd) int mpc_set_ld (mpc_ptr a, long double b, mpc_rnd_t rnd) MPC_SET_X (ld, a, b, rnd) int mpc_set_ui (mpc_ptr a, unsigned long int b, mpc_rnd_t rnd) MPC_SET_X (ui, a, b, rnd) int mpc_set_si (mpc_ptr a, long int b, mpc_rnd_t rnd) MPC_SET_X (si, a, b, rnd) int mpc_set_z (mpc_ptr a, mpz_srcptr b, mpc_rnd_t rnd) MPC_SET_X (z, a, b, rnd) int mpc_set_q (mpc_ptr a, mpq_srcptr b, mpc_rnd_t rnd) MPC_SET_X (q, a, b, rnd) int mpc_set_f (mpc_ptr a, mpf_srcptr b, mpc_rnd_t rnd) MPC_SET_X (f, a, b, rnd) #ifdef _MPC_H_HAVE_INTMAX_T int mpc_set_uj (mpc_ptr a, uintmax_t b, mpc_rnd_t rnd) MPC_SET_X (uj, a, b, rnd) int mpc_set_sj (mpc_ptr a, intmax_t b, mpc_rnd_t rnd) MPC_SET_X (sj, a, b, rnd) #endif #ifdef HAVE_COMPLEX_H int mpc_set_dc (mpc_ptr a, double _Complex b, mpc_rnd_t rnd) { return mpc_set_d_d (a, creal (b), cimag (b), rnd); } int mpc_set_ldc (mpc_ptr a, long double _Complex b, mpc_rnd_t rnd) { return mpc_set_ld_ld (a, creall (b), cimagl (b), rnd); } #endif void mpc_set_nan (mpc_ptr a) { mpfr_set_nan (mpc_realref (a)); mpfr_set_nan (mpc_imagref (a)); } mpc-1.3.1/src/mem.c0000644000175100017460000000252212426164730010741 00000000000000/* wrapper functions to allocate, reallocate and free memory Copyright (C) 2009 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for strlen */ #include "mpc-impl.h" char * mpc_alloc_str (size_t len) { void * (*allocfunc) (size_t); mp_get_memory_functions (&allocfunc, NULL, NULL); return (char *) ((*allocfunc) (len)); } char * mpc_realloc_str (char * str, size_t oldlen, size_t newlen) { void * (*reallocfunc) (void *, size_t, size_t); mp_get_memory_functions (NULL, &reallocfunc, NULL); return (char *) ((*reallocfunc) (str, oldlen, newlen)); } void mpc_free_str (char *str) { void (*freefunc) (void *, size_t); mp_get_memory_functions (NULL, NULL, &freefunc); (*freefunc) (str, strlen (str) + 1); } mpc-1.3.1/src/cos.c0000644000175100017460000000154712426164730010755 00000000000000/* mpc_cos -- cosine of a complex number. Copyright (C) 2010, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_cos (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { return MPC_INEX2 (mpc_sin_cos (NULL, rop, op, 0, rnd)); } mpc-1.3.1/src/neg.c0000644000175100017460000000177412426164730010744 00000000000000/* mpc_neg -- Negate a complex number. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_neg (mpc_ptr a, mpc_srcptr b, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_neg (mpc_realref(a), mpc_realref(b), MPC_RND_RE(rnd)); inex_im = mpfr_neg (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/swap.c0000644000175100017460000000165512426164730011143 00000000000000/* mpc_swap -- Swap two complex numbers. Copyright (C) 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" void mpc_swap (mpc_ptr a, mpc_ptr b) { /* assumes real and imaginary parts do not overlap */ mpfr_swap (mpc_realref(a), mpc_realref(b)); mpfr_swap (mpc_imagref(a), mpc_imagref(b)); } mpc-1.3.1/src/fma.c0000644000175100017460000001043414345571363010735 00000000000000/* mpc_fma -- Fused multiply-add of three complex numbers Copyright (C) 2011, 2012, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_fma_naive (mpc_ptr r, mpc_srcptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { mpfr_t rea_reb, rea_imb, ima_reb, ima_imb; mpfr_ptr sum [3]; int inex_re, inex_im; mpfr_init2 (rea_reb, mpfr_get_prec (mpc_realref(a)) + mpfr_get_prec (mpc_realref(b))); mpfr_init2 (rea_imb, mpfr_get_prec (mpc_realref(a)) + mpfr_get_prec (mpc_imagref(b))); mpfr_init2 (ima_reb, mpfr_get_prec (mpc_imagref(a)) + mpfr_get_prec (mpc_realref(b))); mpfr_init2 (ima_imb, mpfr_get_prec (mpc_imagref(a)) + mpfr_get_prec (mpc_imagref(b))); mpfr_mul (rea_reb, mpc_realref(a), mpc_realref(b), MPFR_RNDZ); /* exact */ mpfr_mul (rea_imb, mpc_realref(a), mpc_imagref(b), MPFR_RNDZ); /* exact */ mpfr_mul (ima_reb, mpc_imagref(a), mpc_realref(b), MPFR_RNDZ); /* exact */ mpfr_mul (ima_imb, mpc_imagref(a), mpc_imagref(b), MPFR_RNDZ); /* exact */ mpfr_neg (ima_imb, ima_imb, MPFR_RNDZ); sum [0] = rea_reb; sum [1] = ima_imb; sum [2] = (mpfr_ptr) mpc_realref (c); inex_re = mpfr_sum (mpc_realref (r), sum, 3, MPC_RND_RE (rnd)); sum [0] = rea_imb; sum [1] = ima_reb; sum [2] = (mpfr_ptr) mpc_imagref (c); inex_im = mpfr_sum (mpc_imagref (r), sum, 3, MPC_RND_IM (rnd)); mpfr_clear (rea_reb); mpfr_clear (rea_imb); mpfr_clear (ima_reb); mpfr_clear (ima_imb); return MPC_INEX(inex_re, inex_im); } /* The algorithm is as follows: - in a first pass, we use the target precision + some extra bits - if it fails, we add the number of cancelled bits when adding Re(a*b) and Re(c) [similarly for the imaginary part] - it is fails again, we call the mpc_fma_naive function, which also deals with the special cases */ int mpc_fma (mpc_ptr r, mpc_srcptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { mpc_t ab; mpfr_prec_t pre, pim, wpre, wpim; mpfr_exp_t diffre, diffim; int i, inex = 0, okre = 0, okim = 0; if (mpc_fin_p (a) == 0 || mpc_fin_p (b) == 0 || mpc_fin_p (c) == 0) return mpc_fma_naive (r, a, b, c, rnd); pre = mpfr_get_prec (mpc_realref(r)); pim = mpfr_get_prec (mpc_imagref(r)); wpre = pre + mpc_ceil_log2 (pre) + 10; wpim = pim + mpc_ceil_log2 (pim) + 10; mpc_init3 (ab, wpre, wpim); for (i = 0; i < 2; ++i) { mpc_mul (ab, a, b, MPC_RNDZZ); if (mpfr_zero_p (mpc_realref(ab)) || mpfr_zero_p (mpc_imagref(ab))) break; diffre = mpfr_get_exp (mpc_realref(ab)); diffim = mpfr_get_exp (mpc_imagref(ab)); mpc_add (ab, ab, c, MPC_RNDZZ); if (mpfr_zero_p (mpc_realref(ab)) || mpfr_zero_p (mpc_imagref(ab))) break; diffre -= mpfr_get_exp (mpc_realref(ab)); diffim -= mpfr_get_exp (mpc_imagref(ab)); diffre = (diffre > 0 ? diffre + 1 : 1); diffim = (diffim > 0 ? diffim + 1 : 1); okre = diffre > (mpfr_exp_t) wpre ? 0 : mpfr_can_round (mpc_realref(ab), wpre - diffre, MPFR_RNDN, MPFR_RNDZ, pre + (MPC_RND_RE (rnd) == MPFR_RNDN)); okim = diffim > (mpfr_exp_t) wpim ? 0 : mpfr_can_round (mpc_imagref(ab), wpim - diffim, MPFR_RNDN, MPFR_RNDZ, pim + (MPC_RND_IM (rnd) == MPFR_RNDN)); if (okre && okim) { inex = mpc_set (r, ab, rnd); break; } if (i == 1) break; if (okre == 0 && diffre > 1) wpre += diffre; if (okim == 0 && diffim > 1) wpim += diffim; mpfr_set_prec (mpc_realref(ab), wpre); mpfr_set_prec (mpc_imagref(ab), wpim); } mpc_clear (ab); return (okre && okim) ? inex : mpc_fma_naive (r, a, b, c, rnd); } mpc-1.3.1/src/log10.c0000644000175100017460000001336513717736770011131 00000000000000/* mpc_log10 -- Take the base-10 logarithm of a complex number. Copyright (C) 2012, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://logw.gnu.org/licenses/ . */ #include /* for CHAR_BIT */ #include "mpc-impl.h" static void mpfr_const_log10 (mpfr_ptr log10) { mpfr_set_ui (log10, 10, MPFR_RNDN); /* exact since prec >= 4 */ mpfr_log (log10, log10, MPFR_RNDN); /* error <= 1/2 ulp */ } int mpc_log10 (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd) { int ok = 0, loops = 0, check_exact = 0, special_re, special_im, inex, inex_re, inex_im; mpfr_prec_t prec; mpfr_t log10; mpc_t log; mpfr_exp_t saved_emin, saved_emax; saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); mpfr_init2 (log10, 2); mpc_init2 (log, 2); prec = MPC_MAX_PREC (rop); /* compute log(op)/log(10) */ while (ok == 0) { loops ++; prec += (loops <= 2) ? mpc_ceil_log2 (prec) + 4 : prec / 2; mpfr_set_prec (log10, prec); mpc_set_prec (log, prec); inex = mpc_log (log, op, rnd); /* error <= 1 ulp */ if (!mpfr_number_p (mpc_imagref (log)) || mpfr_zero_p (mpc_imagref (log))) { /* no need to divide by log(10) */ special_im = 1; ok = 1; } else { special_im = 0; mpfr_const_log10 (log10); mpfr_div (mpc_imagref (log), mpc_imagref (log), log10, MPFR_RNDN); ok = mpfr_can_round (mpc_imagref (log), prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(rop) + (MPC_RND_IM (rnd) == MPFR_RNDN)); } if (ok) { if (!mpfr_number_p (mpc_realref (log)) || mpfr_zero_p (mpc_realref (log))) special_re = 1; else { special_re = 0; if (special_im) /* log10 not yet computed */ mpfr_const_log10 (log10); mpfr_div (mpc_realref (log), mpc_realref (log), log10, MPFR_RNDN); /* error <= 24/7 ulp < 4 ulp for prec >= 4, see algorithms.tex */ ok = mpfr_can_round (mpc_realref (log), prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(rop) + (MPC_RND_RE (rnd) == MPFR_RNDN)); } /* Special code to deal with cases where the real part of log10(x+i*y) is exact, like x=3 and y=1. Since Re(log10(x+i*y)) = log10(x^2+y^2)/2 this happens whenever x^2+y^2 is a nonnegative power of 10. Indeed x^2+y^2 cannot equal 10^(a/2^b) for a, b integers, a odd, b>0, since x^2+y^2 is rational, and 10^(a/2^b) is irrational. Similarly, for b=0, x^2+y^2 cannot equal 10^a for a < 0 since x^2+y^2 is a rational with denominator a power of 2. Now let x^2+y^2 = 10^s. Without loss of generality we can assume x = u/2^e and y = v/2^e with u, v, e integers: u^2+v^2 = 10^s*2^(2e) thus u^2+v^2 = 0 mod 2^(2e). By recurrence on e, necessarily u = v = 0 mod 2^e, thus x and y are necessarily integers. */ if (!ok && !check_exact && mpfr_integer_p (mpc_realref (op)) && mpfr_integer_p (mpc_imagref (op))) { mpz_t x, y; unsigned long s, v; check_exact = 1; mpz_init (x); mpz_init (y); mpfr_get_z (x, mpc_realref (op), MPFR_RNDN); /* exact */ mpfr_get_z (y, mpc_imagref (op), MPFR_RNDN); /* exact */ mpz_mul (x, x, x); mpz_mul (y, y, y); mpz_add (x, x, y); /* x^2+y^2 */ v = mpz_scan1 (x, 0); /* if x = 10^s then necessarily s = v */ s = mpz_sizeinbase (x, 10); /* since s is either the number of digits of x or one more, then x = 10^(s-1) or 10^(s-2) */ if (s == v + 1 || s == v + 2) { mpz_div_2exp (x, x, v); mpz_ui_pow_ui (y, 5, v); if (mpz_cmp (y, x) == 0) { /* Re(log10(x+i*y)) is exactly v/2 we reset the precision of Re(log) so that v can be represented exactly */ mpfr_set_prec (mpc_realref (log), sizeof(unsigned long)*CHAR_BIT); mpfr_set_ui_2exp (mpc_realref (log), v, -1, MPFR_RNDN); /* exact */ ok = 1; } } mpz_clear (x); mpz_clear (y); } } } inex_re = mpfr_set (mpc_realref(rop), mpc_realref (log), MPC_RND_RE (rnd)); if (special_re) inex_re = MPC_INEX_RE (inex); /* recover flag from call to mpc_log above */ inex_im = mpfr_set (mpc_imagref(rop), mpc_imagref (log), MPC_RND_IM (rnd)); if (special_im) inex_im = MPC_INEX_IM (inex); mpfr_clear (log10); mpc_clear (log); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); inex_re = mpfr_check_range (mpc_realref (rop), inex_re, MPC_RND_RE (rnd)); inex_im = mpfr_check_range (mpc_imagref (rop), inex_im, MPC_RND_IM (rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/mpc.h0000644000175100017460000004106514346567577010777 00000000000000/* mpc.h -- Include file for mpc. Copyright (C) 2002, 2003, 2004, 2005, 2007, 2008, 2009, 2010, 2011, 2012, 2016, 2017, 2018, 2020, 2021, 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #ifndef __MPC_H #define __MPC_H #include #include "gmp.h" #include "mpfr.h" /* Define MPC version number */ #define MPC_VERSION_MAJOR 1 #define MPC_VERSION_MINOR 3 #define MPC_VERSION_PATCHLEVEL 1 #define MPC_VERSION_STRING "1.3.1" /* Macros dealing with MPC VERSION */ #define MPC_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c)) #define MPC_VERSION \ MPC_VERSION_NUM(MPC_VERSION_MAJOR,MPC_VERSION_MINOR,MPC_VERSION_PATCHLEVEL) /* Check if stdint.h/inttypes.h is included */ #if defined (INTMAX_C) && defined (UINTMAX_C) #define _MPC_H_HAVE_INTMAX_T 1 #endif /* Return values */ /* Transform negative to 2, positive to 1, leave 0 unchanged. Warning: since inex is evaluated two times, we should avoid MPC_INEX(mpc_mul (...), mpc_mul (...)) */ #define MPC_INEX_POS(inex) (((inex) < 0) ? 2 : ((inex) == 0) ? 0 : 1) /* Transform 2 to negative, 1 to positive, leave 0 unchanged */ #define MPC_INEX_NEG(inex) (((inex) == 2) ? -1 : ((inex) == 0) ? 0 : 1) /* The global inexact flag is made of (real flag) + 4 * (imaginary flag), where each of the real and imaginary inexact flag are: 0 when the result is exact (no rounding error) 1 when the result is larger than the exact value 2 when the result is smaller than the exact value */ #define MPC_INEX(inex_re, inex_im) \ (MPC_INEX_POS(inex_re) | (MPC_INEX_POS(inex_im) << 2)) #define MPC_INEX_RE(inex) MPC_INEX_NEG((inex) & 3) #define MPC_INEX_IM(inex) MPC_INEX_NEG((inex) >> 2) /* For functions computing two results, the return value is inexact1+16*inexact2, which is 0 iif both results are exact. */ #define MPC_INEX12(inex1, inex2) (inex1 | (inex2 << 4)) #define MPC_INEX1(inex) (inex & 15) #define MPC_INEX2(inex) (inex >> 4) /* Definition of rounding modes */ /* a complex rounding mode is just a pair of two real rounding modes we reserve four bits for a real rounding mode. */ typedef int mpc_rnd_t; #define MPC_RND(r1,r2) (((int)(r1)) + ((int)(r2) << 4)) #define MPC_RND_RE(x) ((mpfr_rnd_t)((x) & 0x0F)) #define MPC_RND_IM(x) ((mpfr_rnd_t)((x) >> 4)) #define MPC_RNDNN MPC_RND (MPFR_RNDN,MPFR_RNDN) #define MPC_RNDNZ MPC_RND (MPFR_RNDN,MPFR_RNDZ) #define MPC_RNDNU MPC_RND (MPFR_RNDN,MPFR_RNDU) #define MPC_RNDND MPC_RND (MPFR_RNDN,MPFR_RNDD) #define MPC_RNDNA MPC_RND (MPFR_RNDN,MPFR_RNDA) #define MPC_RNDZN MPC_RND (MPFR_RNDZ,MPFR_RNDN) #define MPC_RNDZZ MPC_RND (MPFR_RNDZ,MPFR_RNDZ) #define MPC_RNDZU MPC_RND (MPFR_RNDZ,MPFR_RNDU) #define MPC_RNDZD MPC_RND (MPFR_RNDZ,MPFR_RNDD) #define MPC_RNDZA MPC_RND (MPFR_RNDZ,MPFR_RNDA) #define MPC_RNDUN MPC_RND (MPFR_RNDU,MPFR_RNDN) #define MPC_RNDUZ MPC_RND (MPFR_RNDU,MPFR_RNDZ) #define MPC_RNDUU MPC_RND (MPFR_RNDU,MPFR_RNDU) #define MPC_RNDUD MPC_RND (MPFR_RNDU,MPFR_RNDD) #define MPC_RNDUA MPC_RND (MPFR_RNDU,MPFR_RNDA) #define MPC_RNDDN MPC_RND (MPFR_RNDD,MPFR_RNDN) #define MPC_RNDDZ MPC_RND (MPFR_RNDD,MPFR_RNDZ) #define MPC_RNDDU MPC_RND (MPFR_RNDD,MPFR_RNDU) #define MPC_RNDDD MPC_RND (MPFR_RNDD,MPFR_RNDD) #define MPC_RNDDA MPC_RND (MPFR_RNDD,MPFR_RNDA) #define MPC_RNDAN MPC_RND (MPFR_RNDA,MPFR_RNDN) #define MPC_RNDAZ MPC_RND (MPFR_RNDA,MPFR_RNDZ) #define MPC_RNDAU MPC_RND (MPFR_RNDA,MPFR_RNDU) #define MPC_RNDAD MPC_RND (MPFR_RNDA,MPFR_RNDD) #define MPC_RNDAA MPC_RND (MPFR_RNDA,MPFR_RNDA) /* Definitions of types and their semantics */ typedef struct { mpfr_t re; mpfr_t im; } __mpc_struct; typedef __mpc_struct mpc_t[1]; typedef __mpc_struct *mpc_ptr; typedef const __mpc_struct *mpc_srcptr; typedef struct { int64_t mant; int64_t exp; } __mpcr_struct; typedef __mpcr_struct mpcr_t [1]; typedef __mpcr_struct *mpcr_ptr; typedef const __mpcr_struct *mpcr_srcptr; typedef struct { mpc_t c; mpcr_t r; } __mpcb_struct; typedef __mpcb_struct mpcb_t [1]; typedef __mpcb_struct *mpcb_ptr; typedef const __mpcb_struct *mpcb_srcptr; /* Support for WINDOWS DLL, see https://sympa.inria.fr/sympa/arc/mpc-discuss/2011-11/ ; when building the DLL, export symbols, otherwise behave as GMP */ #if defined (__MPC_LIBRARY_BUILD) && __GMP_LIBGMP_DLL #define __MPC_DECLSPEC __GMP_DECLSPEC_EXPORT #else #define __MPC_DECLSPEC __GMP_DECLSPEC #endif #if defined (__cplusplus) extern "C" { #endif __MPC_DECLSPEC int mpc_add (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_add_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_add_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_add_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_sub (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_sub_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_fr_sub (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_sub_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_ui_ui_sub (mpc_ptr, unsigned long int, unsigned long int, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_i (mpc_ptr, mpc_srcptr, int, mpc_rnd_t); __MPC_DECLSPEC int mpc_sqr (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_div (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_ld (mpc_ptr, mpc_srcptr, long double, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_d (mpc_ptr, mpc_srcptr, double, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_si (mpc_ptr, mpc_srcptr, long, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_ui (mpc_ptr, mpc_srcptr, unsigned long, mpc_rnd_t); __MPC_DECLSPEC int mpc_pow_z (mpc_ptr, mpc_srcptr, mpz_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_div_fr (mpc_ptr, mpc_srcptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_fr_div (mpc_ptr, mpfr_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_div_ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_ui_div (mpc_ptr, unsigned long int, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_div_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_2ui (mpc_ptr, mpc_srcptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_div_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_mul_2si (mpc_ptr, mpc_srcptr, long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_conj (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_neg (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_sum (mpc_ptr, const mpc_ptr *, unsigned long, mpc_rnd_t); __MPC_DECLSPEC int mpc_dot (mpc_ptr, const mpc_ptr *, const mpc_ptr *, unsigned long, mpc_rnd_t); __MPC_DECLSPEC int mpc_norm (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); __MPC_DECLSPEC int mpc_abs (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); __MPC_DECLSPEC int mpc_sqrt (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_d (mpc_ptr, double, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_d_d (mpc_ptr, double, double, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_ld (mpc_ptr, long double, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_ld_ld (mpc_ptr, long double, long double, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_f (mpc_ptr, mpf_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_f_f (mpc_ptr, mpf_srcptr, mpf_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_fr (mpc_ptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_fr_fr (mpc_ptr, mpfr_srcptr, mpfr_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_q (mpc_ptr, mpq_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_q_q (mpc_ptr, mpq_srcptr, mpq_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_si (mpc_ptr, long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_si_si (mpc_ptr, long int, long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_ui (mpc_ptr, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_ui_ui (mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_z (mpc_ptr, mpz_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_z_z (mpc_ptr, mpz_srcptr, mpz_srcptr, mpc_rnd_t); __MPC_DECLSPEC void mpc_swap (mpc_ptr, mpc_ptr); __MPC_DECLSPEC int mpc_fma (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC void mpc_set_nan (mpc_ptr); __MPC_DECLSPEC int mpc_real (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); __MPC_DECLSPEC int mpc_imag (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); __MPC_DECLSPEC int mpc_arg (mpfr_ptr, mpc_srcptr, mpfr_rnd_t); __MPC_DECLSPEC int mpc_proj (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_cmp (mpc_srcptr, mpc_srcptr); __MPC_DECLSPEC int mpc_cmp_si_si (mpc_srcptr, long int, long int); __MPC_DECLSPEC int mpc_cmp_abs (mpc_srcptr, mpc_srcptr); __MPC_DECLSPEC int mpc_exp (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_log (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_log10 (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_agm (mpc_ptr, mpc_srcptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_sin (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_cos (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_sin_cos (mpc_ptr, mpc_ptr, mpc_srcptr, mpc_rnd_t, mpc_rnd_t); __MPC_DECLSPEC int mpc_tan (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_sinh (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_cosh (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_tanh (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_asin (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_acos (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_atan (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_asinh (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_acosh (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_atanh (mpc_ptr, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_rootofunity (mpc_ptr, unsigned long int, unsigned long int, mpc_rnd_t); __MPC_DECLSPEC void mpc_clear (mpc_ptr); __MPC_DECLSPEC int mpc_urandom (mpc_ptr, gmp_randstate_t); __MPC_DECLSPEC void mpc_init2 (mpc_ptr, mpfr_prec_t); __MPC_DECLSPEC void mpc_init3 (mpc_ptr, mpfr_prec_t, mpfr_prec_t); __MPC_DECLSPEC mpfr_prec_t mpc_get_prec (mpc_srcptr x); __MPC_DECLSPEC void mpc_get_prec2 (mpfr_prec_t *pr, mpfr_prec_t *pi, mpc_srcptr x); __MPC_DECLSPEC void mpc_set_prec (mpc_ptr, mpfr_prec_t); __MPC_DECLSPEC const char * mpc_get_version (void); __MPC_DECLSPEC int mpc_strtoc (mpc_ptr, const char *, char **, int, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_str (mpc_ptr, const char *, int, mpc_rnd_t); __MPC_DECLSPEC char * mpc_get_str (int, size_t, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC void mpc_free_str (char *); /* declare certain functions only if appropriate headers have been included */ #ifdef _MPC_H_HAVE_INTMAX_T __MPC_DECLSPEC int mpc_set_sj (mpc_ptr, intmax_t, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_uj (mpc_ptr, uintmax_t, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_sj_sj (mpc_ptr, intmax_t, intmax_t, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_uj_uj (mpc_ptr, uintmax_t, uintmax_t, mpc_rnd_t); #endif #ifdef _Complex_I __MPC_DECLSPEC int mpc_set_dc (mpc_ptr, double _Complex, mpc_rnd_t); __MPC_DECLSPEC int mpc_set_ldc (mpc_ptr, long double _Complex, mpc_rnd_t); __MPC_DECLSPEC double _Complex mpc_get_dc (mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC long double _Complex mpc_get_ldc (mpc_srcptr, mpc_rnd_t); #endif #ifdef _GMP_H_HAVE_FILE __MPC_DECLSPEC int mpc_inp_str (mpc_ptr, FILE *, size_t *, int, mpc_rnd_t); __MPC_DECLSPEC size_t mpc_out_str (FILE *, int, size_t, mpc_srcptr, mpc_rnd_t); __MPC_DECLSPEC void mpcb_out_str (FILE *f, mpcb_srcptr); __MPC_DECLSPEC void mpcr_out_str (FILE *f, mpcr_srcptr r); #endif __MPC_DECLSPEC int mpcr_inf_p (mpcr_srcptr r); __MPC_DECLSPEC int mpcr_zero_p (mpcr_srcptr r); __MPC_DECLSPEC int mpcr_lt_half_p (mpcr_srcptr r); __MPC_DECLSPEC int mpcr_cmp (mpcr_srcptr r, mpcr_srcptr s); __MPC_DECLSPEC void mpcr_set_inf (mpcr_ptr r); __MPC_DECLSPEC void mpcr_set_zero (mpcr_ptr r); __MPC_DECLSPEC void mpcr_set_one (mpcr_ptr r); __MPC_DECLSPEC void mpcr_set (mpcr_ptr r, mpcr_srcptr s); __MPC_DECLSPEC void mpcr_set_ui64_2si64 (mpcr_ptr r, uint64_t mant, int64_t exp); __MPC_DECLSPEC void mpcr_max (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t); __MPC_DECLSPEC int64_t mpcr_get_exp (mpcr_srcptr r); __MPC_DECLSPEC void mpcr_mul (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t); __MPC_DECLSPEC void mpcr_mul_2ui (mpcr_ptr r, mpcr_srcptr s, unsigned long int e); __MPC_DECLSPEC void mpcr_sqr (mpcr_ptr r, mpcr_srcptr s); __MPC_DECLSPEC void mpcr_add (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t); __MPC_DECLSPEC void mpcr_sub (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t); __MPC_DECLSPEC void mpcr_sub_rnd (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t, mpfr_rnd_t rnd); __MPC_DECLSPEC void mpcr_div (mpcr_ptr r, mpcr_srcptr s, mpcr_srcptr t); __MPC_DECLSPEC void mpcr_div_2ui (mpcr_ptr r, mpcr_srcptr s, unsigned long int e); __MPC_DECLSPEC int64_t sqrt_int64 (int64_t n); __MPC_DECLSPEC void mpcr_sqrt (mpcr_ptr r, mpcr_srcptr s); __MPC_DECLSPEC void mpcr_add_rounding_error (mpcr_ptr r, mpfr_prec_t p, mpfr_rnd_t rnd); __MPC_DECLSPEC void mpcr_c_abs_rnd (mpcr_ptr r, mpc_srcptr z, mpfr_rnd_t rnd); __MPC_DECLSPEC void mpcb_init (mpcb_ptr); __MPC_DECLSPEC void mpcb_clear (mpcb_ptr); __MPC_DECLSPEC mpfr_prec_t mpcb_get_prec (mpcb_srcptr); __MPC_DECLSPEC void mpcb_set_prec (mpcb_ptr, mpfr_prec_t); __MPC_DECLSPEC void mpcb_set (mpcb_ptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_set_inf (mpcb_ptr); __MPC_DECLSPEC void mpcb_set_c (mpcb_ptr, mpc_srcptr, mpfr_prec_t, unsigned long int, unsigned long int); __MPC_DECLSPEC void mpcb_set_ui_ui (mpcb_ptr, unsigned long int, unsigned long int, mpfr_prec_t); __MPC_DECLSPEC void mpcb_neg (mpcb_ptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_mul (mpcb_ptr, mpcb_srcptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_sqr (mpcb_ptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_pow_ui (mpcb_ptr, mpcb_srcptr, unsigned long int); __MPC_DECLSPEC void mpcb_add (mpcb_ptr, mpcb_srcptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_sqrt (mpcb_ptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_div (mpcb_ptr, mpcb_srcptr, mpcb_srcptr); __MPC_DECLSPEC void mpcb_div_2ui (mpcb_ptr, mpcb_srcptr, unsigned long int); __MPC_DECLSPEC int mpcb_can_round (mpcb_srcptr, mpfr_prec_t, mpfr_prec_t, mpc_rnd_t); __MPC_DECLSPEC int mpcb_round (mpc_ptr, mpcb_srcptr, mpc_rnd_t); __MPC_DECLSPEC int mpc_eta_fund (mpc_ptr, mpc_srcptr, mpc_rnd_t); #if defined (__cplusplus) } #endif #define mpc_realref(x) ((x)->re) #define mpc_imagref(x) ((x)->im) #define mpc_cmp_si(x, y) \ ( mpc_cmp_si_si ((x), (y), 0l) ) #define mpc_ui_sub(x, y, z, r) mpc_ui_ui_sub (x, y, 0ul, z, r) /* Define a fake mpfr_set_fr so that, for instance, mpc_set_fr_z would be defined as follows: mpc_set_fr_z (mpc_t rop, mpfr_t x, mpz_t y, mpc_rnd_t rnd) MPC_SET_X_Y (fr, z, rop, x, y, rnd) */ #ifndef mpfr_set_fr #define mpfr_set_fr mpfr_set #endif #define MPC_SET_X_Y(real_t, imag_t, z, real_value, imag_value, rnd) \ { \ int _inex_re, _inex_im; \ _inex_re = (mpfr_set_ ## real_t) (mpc_realref (z), (real_value), MPC_RND_RE (rnd)); \ _inex_im = (mpfr_set_ ## imag_t) (mpc_imagref (z), (imag_value), MPC_RND_IM (rnd)); \ return MPC_INEX (_inex_re, _inex_im); \ } #endif /* ifndef __MPC_H */ mpc-1.3.1/src/conj.c0000644000175100017460000000200412426164730011107 00000000000000/* mpc_conj -- Conjugate of a complex number. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_conj (mpc_ptr a, mpc_srcptr b, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_set (mpc_realref(a), mpc_realref(b), MPC_RND_RE(rnd)); inex_im = mpfr_neg (mpc_imagref(a), mpc_imagref(b), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/log.c0000644000175100017460000001752413227377425010763 00000000000000/* mpc_log -- Take the logarithm of a complex number. Copyright (C) 2008, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for MPC_ASSERT */ #include "mpc-impl.h" int mpc_log (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd){ int ok, underflow = 0; mpfr_srcptr x, y; mpfr_t v, w; mpfr_prec_t prec; int loops; int re_cmp, im_cmp; int inex_re, inex_im; int err; mpfr_exp_t expw; int sgnw; /* special values: NaN and infinities */ if (!mpc_fin_p (op)) { if (mpfr_nan_p (mpc_realref (op))) { if (mpfr_inf_p (mpc_imagref (op))) mpfr_set_inf (mpc_realref (rop), +1); else mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); inex_im = 0; /* Inf/NaN is exact */ } else if (mpfr_nan_p (mpc_imagref (op))) { if (mpfr_inf_p (mpc_realref (op))) mpfr_set_inf (mpc_realref (rop), +1); else mpfr_set_nan (mpc_realref (rop)); mpfr_set_nan (mpc_imagref (rop)); inex_im = 0; /* Inf/NaN is exact */ } else /* We have an infinity in at least one part. */ { inex_im = mpfr_atan2 (mpc_imagref (rop), mpc_imagref (op), mpc_realref (op), MPC_RND_IM (rnd)); mpfr_set_inf (mpc_realref (rop), +1); } return MPC_INEX(0, inex_im); } /* special cases: real and purely imaginary numbers */ re_cmp = mpfr_cmp_ui (mpc_realref (op), 0); im_cmp = mpfr_cmp_ui (mpc_imagref (op), 0); if (im_cmp == 0) { if (re_cmp == 0) { inex_im = mpfr_atan2 (mpc_imagref (rop), mpc_imagref (op), mpc_realref (op), MPC_RND_IM (rnd)); mpfr_set_inf (mpc_realref (rop), -1); inex_re = 0; /* -Inf is exact */ } else if (re_cmp > 0) { inex_re = mpfr_log (mpc_realref (rop), mpc_realref (op), MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (rop), mpc_imagref (op), MPC_RND_IM (rnd)); } else { /* op = x + 0*y; let w = -x = |x| */ int negative_zero; mpfr_rnd_t rnd_im; negative_zero = mpfr_signbit (mpc_imagref (op)); if (negative_zero) rnd_im = INV_RND (MPC_RND_IM (rnd)); else rnd_im = MPC_RND_IM (rnd); w [0] = *mpc_realref (op); MPFR_CHANGE_SIGN (w); inex_re = mpfr_log (mpc_realref (rop), w, MPC_RND_RE (rnd)); inex_im = mpfr_const_pi (mpc_imagref (rop), rnd_im); if (negative_zero) { mpc_conj (rop, rop, MPC_RNDNN); inex_im = -inex_im; } } return MPC_INEX(inex_re, inex_im); } else if (re_cmp == 0) { if (im_cmp > 0) { inex_re = mpfr_log (mpc_realref (rop), mpc_imagref (op), MPC_RND_RE (rnd)); inex_im = mpfr_const_pi (mpc_imagref (rop), MPC_RND_IM (rnd)); /* division by 2 does not change the ternary flag */ mpfr_div_2ui (mpc_imagref (rop), mpc_imagref (rop), 1, MPFR_RNDN); } else { w [0] = *mpc_imagref (op); MPFR_CHANGE_SIGN (w); inex_re = mpfr_log (mpc_realref (rop), w, MPC_RND_RE (rnd)); inex_im = mpfr_const_pi (mpc_imagref (rop), INV_RND (MPC_RND_IM (rnd))); /* division by 2 does not change the ternary flag */ mpfr_div_2ui (mpc_imagref (rop), mpc_imagref (rop), 1, MPFR_RNDN); mpfr_neg (mpc_imagref (rop), mpc_imagref (rop), MPFR_RNDN); inex_im = -inex_im; /* negate the ternary flag */ } return MPC_INEX(inex_re, inex_im); } prec = MPC_PREC_RE(rop); mpfr_init2 (w, 2); /* let op = x + iy; log = 1/2 log (x^2 + y^2) + i atan2 (y, x) */ /* loop for the real part: 1/2 log (x^2 + y^2), fast, but unsafe */ /* implementation */ ok = 0; for (loops = 1; !ok && loops <= 2; loops++) { prec += mpc_ceil_log2 (prec) + 4; mpfr_set_prec (w, prec); mpc_abs (w, op, MPFR_RNDN); /* error 0.5 ulp */ if (mpfr_inf_p (w)) /* intermediate overflow; the logarithm may be representable. Intermediate underflow is impossible. */ break; mpfr_log (w, w, MPFR_RNDN); /* generic error of log: (2^(- exp(w)) + 0.5) ulp */ if (mpfr_zero_p (w)) /* impossible to round, switch to second algorithm */ break; err = MPC_MAX (-mpfr_get_exp (w), 0) + 1; /* number of lost digits */ ok = mpfr_can_round (w, prec - err, MPFR_RNDN, MPFR_RNDZ, mpfr_get_prec (mpc_realref (rop)) + (MPC_RND_RE (rnd) == MPFR_RNDN)); } if (!ok) { prec = MPC_PREC_RE(rop); mpfr_init2 (v, 2); /* compute 1/2 log (x^2 + y^2) = log |x| + 1/2 * log (1 + (y/x)^2) if |x| >= |y|; otherwise, exchange x and y */ if (mpfr_cmpabs (mpc_realref (op), mpc_imagref (op)) >= 0) { x = mpc_realref (op); y = mpc_imagref (op); } else { x = mpc_imagref (op); y = mpc_realref (op); } do { prec += mpc_ceil_log2 (prec) + 4; mpfr_set_prec (v, prec); mpfr_set_prec (w, prec); mpfr_div (v, y, x, MPFR_RNDD); /* error 1 ulp */ mpfr_sqr (v, v, MPFR_RNDD); /* generic error of multiplication: 1 + 2*1*(2+1*2^(1-prec)) <= 5.0625 since prec >= 6 */ mpfr_log1p (v, v, MPFR_RNDD); /* error 1 + 4*5.0625 = 21.25 , see algorithms.tex */ mpfr_div_2ui (v, v, 1, MPFR_RNDD); /* If the result is 0, then there has been an underflow somewhere. */ mpfr_abs (w, x, MPFR_RNDN); /* exact */ mpfr_log (w, w, MPFR_RNDN); /* error 0.5 ulp */ expw = mpfr_get_exp (w); sgnw = mpfr_signbit (w); mpfr_add (w, w, v, MPFR_RNDN); if (!sgnw) /* v is positive, so no cancellation; error 22.25 ulp; error counts lost bits */ err = 5; else err = MPC_MAX (5 + mpfr_get_exp (v), /* 21.25 ulp (v) rewritten in ulp (result, now in w) */ -1 + expw - mpfr_get_exp (w) /* 0.5 ulp (previous w), rewritten in ulp (result) */ ) + 2; /* handle one special case: |x|=1, and (y/x)^2 underflows; then 1/2*log(x^2+y^2) \approx 1/2*y^2 also underflows. */ if ( (mpfr_cmp_si (x, -1) == 0 || mpfr_cmp_ui (x, 1) == 0) && mpfr_zero_p (w)) underflow = 1; } while (!underflow && !mpfr_can_round (w, prec - err, MPFR_RNDN, MPFR_RNDZ, mpfr_get_prec (mpc_realref (rop)) + (MPC_RND_RE (rnd) == MPFR_RNDN))); mpfr_clear (v); } /* imaginary part */ inex_im = mpfr_atan2 (mpc_imagref (rop), mpc_imagref (op), mpc_realref (op), MPC_RND_IM (rnd)); /* set the real part; cannot be done before if rop==op */ if (underflow) /* create underflow in result */ inex_re = mpfr_set_ui_2exp (mpc_realref (rop), 1, mpfr_get_emin_min () - 2, MPC_RND_RE (rnd)); else inex_re = mpfr_set (mpc_realref (rop), w, MPC_RND_RE (rnd)); mpfr_clear (w); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/mul_ui.c0000644000175100017460000000207612426164730011461 00000000000000/* mpc_mul_ui -- Multiply a complex number by a nonnegative integer. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_ui (mpc_ptr a, mpc_srcptr b, unsigned long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_mul_ui (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_mul_ui (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/pow_si.c0000644000175100017460000000173112426164730011464 00000000000000/* mpc_pow_si -- Raise a complex number to an integer power. Copyright (C) 2009, 2010 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_pow_si (mpc_ptr z, mpc_srcptr x, long y, mpc_rnd_t rnd) { if (y >= 0) return mpc_pow_usi (z, x, (unsigned long) y, 1, rnd); else return mpc_pow_usi (z, x, (unsigned long) (-y), -1, rnd); } mpc-1.3.1/src/eta.c0000644000175100017460000002312614345635521010742 00000000000000/* eta -- Functions for computing the Dedekind eta function Copyright (C) 2022 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include /* for CHAR_BIT */ #include "mpc-impl.h" static void eta_series (mpcb_ptr eta, mpcb_srcptr q, mpfr_exp_t expq, int N) /* Evaluate 2N+1 terms of the Dedekind eta function without the q^(1/24) factor (where internally N is taken to be at least 1). expq is an upper bound on the exponent of |q|, valid everywhere inside the ball; for the error analysis to hold the function assumes that expq < -1, which implies |q| < 1/4. */ { const mpfr_prec_t p = mpcb_get_prec (q); mpcb_t q2, qn, q2n1, q3nm1, q3np1; int M, n; mpcr_t r, r2; mpcb_init (q2); mpcb_init (qn); mpcb_init (q2n1); mpcb_init (q3nm1); mpcb_init (q3np1); mpcb_sqr (q2, q); /* n = 0 */ mpcb_set_ui_ui (eta, 1, 0, p); /* n = 1 */ mpcb_set (qn, q); /* q^n */ mpcb_neg (q2n1, q); /* -q^(2n-1) */ mpcb_neg (q3nm1, q); /* +- q^((3n-1)*n/2) */ mpcb_neg (q3np1, q2); /* +- q^(3n+1)*n/2) */ mpcb_add (eta, eta, q3nm1); mpcb_add (eta, eta, q3np1); N = MPC_MAX (1, N); for (n = 2; n <= N; n++) { mpcb_mul (qn, qn, q); mpcb_mul (q2n1, q2n1, q2); mpcb_mul (q3nm1, q3np1, q2n1); mpcb_mul (q3np1, q3nm1, qn); mpcb_add (eta, eta, q3nm1); mpcb_add (eta, eta, q3np1); } /* Compute the relative error due to the truncation of the series as explained in algorithms.tex. */ M = (3 * (N+1) - 1) * (N+1) / 2; mpcr_set_one (r); mpcr_div_2ui (r, r, (unsigned long int) (- (M * expq + 1))); /* Compose the two relative errors. */ mpcr_mul (r2, r, eta->r); mpcr_add (eta->r, eta->r, r); mpcr_add (eta->r, eta->r, r2); mpcb_clear (q2); mpcb_clear (qn); mpcb_clear (q2n1); mpcb_clear (q3nm1); mpcb_clear (q3np1); } static void mpcb_eta_q24 (mpcb_ptr eta, mpcb_srcptr q24) /* Assuming that q24 is a ball containing q^{1/24} = exp (2 * pi * i * z / 24) for z in the fundamental domain, the function computes eta (z). In fact it works on a larger domain and checks that |q|=|q24^24| < 1/4 in the ball; otherwise or if in doubt it returns infinity. */ { mpcb_t q; mpfr_exp_t expq; int N; mpcb_init (q); mpcb_pow_ui (q, q24, 24); /* We need an upper bound on the exponent of |q|. Writing q as having the centre x+i*y and the radius r, we have |q| = sqrt (x^2+y^2) |1+\theta| with |theta| <= r <= (1 + r) \sqrt 2 max (|x|, |y|) < 2^{max (Exp x, Exp y) + 1} assuming that r < sqrt 2 - 1, which is the case for r < 1/4 or Exp r < -1. Then Exp (|q|) <= max (Exp x, Exp y) + 1. */ if (mpcr_inf_p (q->r) || mpcr_get_exp (q->r) >= -1) mpcb_set_inf (eta); else { expq = MPC_MAX (mpfr_get_exp (mpc_realref (q->c)), mpfr_get_exp (mpc_imagref (q->c))) + 1; if (expq >= -1) mpcb_set_inf (eta); else { /* Compute an approximate N such that (3*N+1)*N/2 * |expq| > prec. */ N = (int) sqrt (2 * mpcb_get_prec (q24) / 3.0 / (-expq)) + 1; eta_series (eta, q, expq, N); mpcb_mul (eta, eta, q24); } } mpcb_clear (q); } static void q24_from_z (mpcb_ptr q24, mpc_srcptr z, unsigned long int err_re, unsigned long int err_im) /* Given z=x+i*y, compute q24 = exp (pi*i*z/12). err_re and err_im are a priori errors (in 1/2 ulp) of x and y, respectively; they can be 0 if a part is exact. In particular we need err_re=0 when x=0. The function requires and checks that |x|<=5/8 and y>=1/2. Moreover if err_im != 0, it assumes (but cannot check, so this must be assured by the caller) that y is a lower bound on the correct value. The algorithm is taken from algorithms.tex. The precision of q24 is computed from z with a little extra so that the series has a good chance of being rounded to the precision of z. */ { const mpfr_prec_t pz = MPC_MAX_PREC (z); int xzero; long int Y, err_a, err_b; mpfr_prec_t p, min; mpfr_t pi, u, v, t, r, s; mpc_t q24c; xzero = mpfr_zero_p (mpc_realref (z)); if ( mpfr_cmp_d (mpc_realref (z), 0.625) > 0 || mpfr_cmp_d (mpc_realref (z), -0.625) < 0 || mpfr_cmp_d (mpc_imagref (z), 0.5) < 0 || (xzero && err_re > 0)) mpcb_set_inf (q24); else { /* Experiments seem to imply that it is enough to add 20 bits to the target precision; to be on the safe side, we also add 1%. */ p = pz * 101 / 100 + 20; /* We need 2^p >= 240 + 66 k_x = 240 + 33 err_re. */ if (p < (mpfr_prec_t) (CHAR_BIT * sizeof (mpfr_prec_t))) { min = (240 + 33 * err_re) >> p; while (min > 0) { p++; min >>= 1; } } mpfr_init2 (pi, p); mpfr_init2 (u, p); mpfr_init2 (v, p); mpfr_init2 (t, p); mpfr_init2 (r, p); mpfr_init2 (s, p); mpc_init2 (q24c, p); mpfr_const_pi (pi, MPFR_RNDD); mpfr_div_ui (pi, pi, 12, MPFR_RNDD); mpfr_mul (u, mpc_imagref (z), pi, MPFR_RNDD); mpfr_neg (u, u, MPFR_RNDU); mpfr_mul (v, mpc_realref (z), pi, MPFR_RNDN); mpfr_exp (t, u, MPFR_RNDU); if (xzero) { mpfr_set (mpc_realref (q24c), t, MPFR_RNDN); mpfr_set_ui (mpc_imagref (q24c), 0, MPFR_RNDN); } else { /* Unfortunately we cannot round in two different directions with mpfr_sin_cos. */ mpfr_cos (r, v, MPFR_RNDZ); mpfr_sin (s, v, MPFR_RNDA); mpfr_mul (mpc_realref (q24c), t, r, MPFR_RNDN); mpfr_mul (mpc_imagref (q24c), t, s, MPFR_RNDN); } Y = mpfr_get_exp (mpc_imagref (z)); if (xzero) { Y = (224 + 33 * err_im + 63) / 64 << Y; err_a = Y + 1; err_b = 0; } else { if (Y >= 2) Y = (32 + 5 * err_im) << (Y - 2); else if (Y == 1) Y = 16 + (5 * err_im + 1) / 2; else /* Y == 0 */ Y = 8 + (5 * err_im + 3) / 4; err_a = Y + 9 + err_re; err_b = Y + (67 + 9 * err_re + 1) / 2; } mpcb_set_c (q24, q24c, p, err_a, err_b); mpfr_clear (pi); mpfr_clear (u); mpfr_clear (v); mpfr_clear (t); mpfr_clear (r); mpfr_clear (s); mpc_clear (q24c); } } void mpcb_eta_err (mpcb_ptr eta, mpc_srcptr z, unsigned long int err_re, unsigned long int err_im) /* Given z=x+i*y in the fundamental domain, compute eta (z). err_re and err_im are a priori errors (in 1/2 ulp) of x and y, respectively; they can be 0 if a part is exact. In particular we need err_re=0 when x=0. The function requires (and checks through the call to q24_from_z) that |x|<=5/8 and y>=1/2. Moreover if err_im != 0, it assumes (but cannot check, so this must be assured by the caller) that y is a lower bound on the correct value. */ { mpcb_t q24; mpcb_init (q24); q24_from_z (q24, z, err_re, err_im); mpcb_eta_q24 (eta, q24); mpcb_clear (q24); } int mpc_eta_fund (mpc_ptr rop, mpc_srcptr z, mpc_rnd_t rnd) /* Given z in the fundamental domain for Sl_2 (Z), that is, |Re z| <= 1/2 and |z| >= 1, compute Dedekind eta (z). Outside the fundamental domain, the function may loop indefinitely. */ { mpfr_prec_t prec; mpc_t zl; mpcb_t eta; int xzero, ok, inex; mpc_init2 (zl, 2); mpcb_init (eta); xzero = mpfr_zero_p (mpc_realref (z)); prec = MPC_MAX (MPC_MAX_PREC (rop), MPC_MAX_PREC (z)); do { mpc_set_prec (zl, prec); mpc_set (zl, z, MPC_RNDNN); /* exact */ mpcb_eta_err (eta, zl, 0, 0); if (!xzero) ok = mpcb_can_round (eta, MPC_PREC_RE (rop), MPC_PREC_IM (rop), rnd); else { /* TODO: The result is real, so the ball contains part of the imaginary axis, and rounding to a complex number is impossible independently of the precision. It would be best to project to a real interval and to decide whether we can round. Lacking such functionality, we add the non-representable number 0.1*I (in ball arithmetic) and check whether rounding is possible then. */ mpc_t fuzz; mpcb_t fuzzb; mpc_init2 (fuzz, prec); mpcb_init (fuzzb); mpc_set_ui_ui (fuzz, 0, 1, MPC_RNDNN); mpc_div_ui (fuzz, fuzz, 10, MPC_RNDNN); mpcb_set_c (fuzzb, fuzz, prec, 0, 1); ok = mpfr_zero_p (mpc_imagref (eta->c)); mpcb_add (eta, eta, fuzzb); ok &= mpcb_can_round (eta, MPC_PREC_RE (rop), 2, rnd); mpc_clear (fuzz); mpcb_clear (fuzzb); } prec += 20; } while (!ok); if (!xzero) inex = mpcb_round (rop, eta, rnd); else inex = MPC_INEX (mpfr_set (mpc_realref (rop), mpc_realref (eta->c), MPC_RND_RE (rnd)), mpfr_set_ui (mpc_imagref (rop), 0, MPFR_RNDN)); mpc_clear (zl); mpcb_clear (eta); return inex; } mpc-1.3.1/src/sin_cos.c0000644000175100017460000004332213717736770011640 00000000000000/* mpc_sin_cos -- combined sine and cosine of a complex number. Copyright (C) 2010, 2011, 2012, 2020 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include #include "mpc-impl.h" static int mpc_sin_cos_nonfinite (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, mpc_rnd_t rnd_sin, mpc_rnd_t rnd_cos) /* assumes that op (that is, its real or imaginary part) is not finite */ { int overlap; mpc_t op_loc; overlap = (rop_sin == op || rop_cos == op); if (overlap) { mpc_init3 (op_loc, MPC_PREC_RE (op), MPC_PREC_IM (op)); mpc_set (op_loc, op, MPC_RNDNN); } else op_loc [0] = op [0]; if (rop_sin != NULL) { if (mpfr_nan_p (mpc_realref (op_loc)) || mpfr_nan_p (mpc_imagref (op_loc))) { mpc_set (rop_sin, op_loc, rnd_sin); if (mpfr_nan_p (mpc_imagref (op_loc))) { /* sin(x +i*NaN) = NaN +i*NaN, except for x=0 */ /* sin(-0 +i*NaN) = -0 +i*NaN */ /* sin(+0 +i*NaN) = +0 +i*NaN */ if (!mpfr_zero_p (mpc_realref (op_loc))) mpfr_set_nan (mpc_realref (rop_sin)); } else /* op = NaN + i*y */ if (!mpfr_inf_p (mpc_imagref (op_loc)) && !mpfr_zero_p (mpc_imagref (op_loc))) /* sin(NaN -i*Inf) = NaN -i*Inf */ /* sin(NaN -i*0) = NaN -i*0 */ /* sin(NaN +i*0) = NaN +i*0 */ /* sin(NaN +i*Inf) = NaN +i*Inf */ /* sin(NaN +i*y) = NaN +i*NaN, when 0<|y| 0 */ inex_cos_re = mpfr_cosh (mpc_realref (rop_cos), mpc_imagref (op_loc), MPC_RND_RE (rnd_cos)); mpfr_set_ui (mpc_imagref (rop_cos), 0ul, MPC_RND_IM (rnd_cos)); if (mpfr_signbit (mpc_realref (op_loc)) == mpfr_signbit (mpc_imagref (op_loc))) MPFR_CHANGE_SIGN (mpc_imagref (rop_cos)); } if (overlap) mpc_clear (op_loc); return MPC_INEX12 (MPC_INEX (0, inex_sin_im), MPC_INEX (inex_cos_re, 0)); } /* Fix an inexact overflow, when x is +Inf or -Inf: When rnd is towards zero, change x into the largest (in absolute value) floating-point number. Return the inexact flag. */ int mpc_fix_inf (mpfr_t x, mpfr_rnd_t rnd) { MPC_ASSERT (mpfr_inf_p (x)); if (!MPC_IS_LIKE_RNDZ(rnd, MPFR_SIGNBIT(x))) return mpfr_sgn (x); else { if (mpfr_sgn (x) < 0) mpfr_nextabove (x); else mpfr_nextbelow (x); return -mpfr_sgn (x); } } /* Fix an inexact underflow, when x is +0 or -0: When rnd is away from zero, change x into the closest floating-point number. Return the inexact flag. */ int mpc_fix_zero (mpfr_t x, mpfr_rnd_t rnd) { if (!MPC_IS_LIKE_RNDA(rnd, MPFR_SIGNBIT(x))) return mpfr_signbit (x) == 0 ? -1 : 1; else { if (mpfr_signbit (x) == 0) { mpfr_nextabove (x); return 1; } else { mpfr_nextbelow (x); return -1; } } } int mpc_sin_cos (mpc_ptr rop_sin, mpc_ptr rop_cos, mpc_srcptr op, mpc_rnd_t rnd_sin, mpc_rnd_t rnd_cos) /* Feature not documented in the texinfo file: One of rop_sin or rop_cos may be NULL, in which case it is not computed, and the corresponding ternary inexact value is set to 0 (exact). */ { if (!mpc_fin_p (op)) return mpc_sin_cos_nonfinite (rop_sin, rop_cos, op, rnd_sin, rnd_cos); else if (mpfr_zero_p (mpc_imagref (op))) return mpc_sin_cos_real (rop_sin, rop_cos, op, rnd_sin, rnd_cos); else if (mpfr_zero_p (mpc_realref (op))) return mpc_sin_cos_imag (rop_sin, rop_cos, op, rnd_sin, rnd_cos); else { /* let op = a + i*b, then sin(op) = sin(a)*cosh(b) + i*cos(a)*sinh(b) and cos(op) = cos(a)*cosh(b) - i*sin(a)*sinh(b). For Re(sin(op)) (and analogously, the other parts), we use the following algorithm, with rounding to nearest for all operations and working precision w: (1) x = o(sin(a)) (2) y = o(cosh(b)) (3) r = o(x*y) then the error on r is at most 4 ulps, since we can write r = sin(a)*cosh(b)*(1+t)^3 with |t| <= 2^(-w), thus for w >= 2, r = sin(a)*cosh(b)*(1+4*t) with |t| <= 2^(-w), thus the relative error is bounded by 4*2^(-w) <= 4*ulp(r). */ mpfr_t s, c, sh, ch, sch, csh; mpfr_prec_t prec; int ok; int inex_re, inex_im, inex_sin, inex_cos, loop = 0; mpfr_exp_t saved_emin, saved_emax; saved_emin = mpfr_get_emin (); saved_emax = mpfr_get_emax (); mpfr_set_emin (mpfr_get_emin_min ()); mpfr_set_emax (mpfr_get_emax_max ()); prec = 2; if (rop_sin != NULL) { mp_prec_t er, ei; prec = MPC_MAX (prec, MPC_MAX_PREC (rop_sin)); /* since the Taylor expansion of sin(x) at x=0 is x - x^3/6 + O(x^5), if x <= 2^(-p), then the second term/x is about 2^(-2p)/6, thus we need at least 2p+3 bits of precision. This is true only when x is exactly representable in the target precision. */ if (MPC_MAX_PREC (op) <= prec) { er = mpfr_get_exp (mpc_realref (op)); ei = mpfr_get_exp (mpc_imagref (op)); /* consider the maximal exponent only */ er = (er < ei) ? ei : er; if (er < 0) if (prec < 2 * (mp_prec_t) (-er) + 3) prec = 2 * (mp_prec_t) (-er) + 3; } } if (rop_cos != NULL) prec = MPC_MAX (prec, MPC_MAX_PREC (rop_cos)); mpfr_init2 (s, 2); mpfr_init2 (c, 2); mpfr_init2 (sh, 2); mpfr_init2 (ch, 2); mpfr_init2 (sch, 2); mpfr_init2 (csh, 2); do { loop ++; prec += (loop <= 2) ? mpc_ceil_log2 (prec) + 5 : prec / 2; mpfr_set_prec (s, prec); mpfr_set_prec (c, prec); mpfr_set_prec (sh, prec); mpfr_set_prec (ch, prec); mpfr_set_prec (sch, prec); mpfr_set_prec (csh, prec); mpfr_sin_cos (s, c, mpc_realref(op), MPFR_RNDN); mpfr_sinh_cosh (sh, ch, mpc_imagref(op), MPFR_RNDN); ok = 1; if (rop_sin != NULL) { /* real part of sine */ mpfr_mul (sch, s, ch, MPFR_RNDN); ok = (!mpfr_number_p (sch)) || mpfr_can_round (sch, prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE (rop_sin) + (MPC_RND_RE (rnd_sin) == MPFR_RNDN)); if (ok) { /* imaginary part of sine */ mpfr_mul (csh, c, sh, MPFR_RNDN); ok = (!mpfr_number_p (csh)) || mpfr_can_round (csh, prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM (rop_sin) + (MPC_RND_IM (rnd_sin) == MPFR_RNDN)); } } if (rop_cos != NULL && ok) { /* real part of cosine */ mpfr_mul (c, c, ch, MPFR_RNDN); ok = (!mpfr_number_p (c)) || mpfr_can_round (c, prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE (rop_cos) + (MPC_RND_RE (rnd_cos) == MPFR_RNDN)); if (ok) { /* imaginary part of cosine */ mpfr_mul (s, s, sh, MPFR_RNDN); mpfr_neg (s, s, MPFR_RNDN); ok = (!mpfr_number_p (s)) || mpfr_can_round (s, prec - 2, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM (rop_cos) + (MPC_RND_IM (rnd_cos) == MPFR_RNDN)); } } } while (ok == 0); if (rop_sin != NULL) { inex_re = mpfr_set (mpc_realref (rop_sin), sch, MPC_RND_RE (rnd_sin)); if (mpfr_inf_p (sch)) inex_re = mpc_fix_inf (mpc_realref (rop_sin), MPC_RND_RE (rnd_sin)); inex_im = mpfr_set (mpc_imagref (rop_sin), csh, MPC_RND_IM (rnd_sin)); if (mpfr_inf_p (csh)) inex_im = mpc_fix_inf (mpc_imagref (rop_sin), MPC_RND_IM (rnd_sin)); inex_sin = MPC_INEX (inex_re, inex_im); } else inex_sin = MPC_INEX (0,0); /* return exact if not computed */ if (rop_cos != NULL) { inex_re = mpfr_set (mpc_realref (rop_cos), c, MPC_RND_RE (rnd_cos)); if (mpfr_inf_p (c)) inex_re = mpc_fix_inf (mpc_realref (rop_cos), MPC_RND_RE (rnd_cos)); inex_im = mpfr_set (mpc_imagref (rop_cos), s, MPC_RND_IM (rnd_cos)); if (mpfr_inf_p (s)) inex_im = mpc_fix_inf (mpc_imagref (rop_cos), MPC_RND_IM (rnd_cos)); inex_cos = MPC_INEX (inex_re, inex_im); } else inex_cos = MPC_INEX (0,0); /* return exact if not computed */ mpfr_clear (s); mpfr_clear (c); mpfr_clear (sh); mpfr_clear (ch); mpfr_clear (sch); mpfr_clear (csh); /* restore the exponent range, and check the range of results */ mpfr_set_emin (saved_emin); mpfr_set_emax (saved_emax); if (rop_sin != NULL) { inex_re = mpfr_check_range (mpc_realref (rop_sin), MPC_INEX_RE (inex_sin), MPC_RND_RE (rnd_sin)); inex_im = mpfr_check_range (mpc_imagref (rop_sin), MPC_INEX_IM (inex_sin), MPC_RND_IM (rnd_sin)); inex_sin = MPC_INEX (inex_re, inex_im); } if (rop_cos != NULL) { inex_re = mpfr_check_range (mpc_realref (rop_cos), MPC_INEX_RE (inex_cos), MPC_RND_RE (rnd_cos)); inex_im = mpfr_check_range (mpc_imagref (rop_cos), MPC_INEX_IM (inex_cos), MPC_RND_IM (rnd_cos)); inex_cos = MPC_INEX (inex_re, inex_im); } return (MPC_INEX12 (inex_sin, inex_cos)); } } mpc-1.3.1/src/add.c0000644000175100017460000000215112426164730010711 00000000000000/* mpc_add -- Add two complex numbers. Copyright (C) 2002, 2009, 2011 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" /* return 0 iff both the real and imaginary parts are exact */ int mpc_add (mpc_ptr a, mpc_srcptr b, mpc_srcptr c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_add (mpc_realref(a), mpc_realref(b), mpc_realref(c), MPC_RND_RE(rnd)); inex_im = mpfr_add (mpc_imagref(a), mpc_imagref(b), mpc_imagref(c), MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/src/pow_ui.c0000644000175100017460000001242013227377425011472 00000000000000/* mpc_pow_ui -- Raise a complex number to an integer power. Copyright (C) 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include /* for CHAR_BIT */ #include "mpc-impl.h" static int mpc_pow_usi_naive (mpc_ptr z, mpc_srcptr x, unsigned long y, int sign, mpc_rnd_t rnd) { int inex; mpc_t t; mpc_init3 (t, sizeof (unsigned long) * CHAR_BIT, MPFR_PREC_MIN); if (sign > 0) mpc_set_ui (t, y, MPC_RNDNN); /* exact */ else mpc_set_si (t, - (signed long) y, MPC_RNDNN); inex = mpc_pow (z, x, t, rnd); mpc_clear (t); return inex; } int mpc_pow_usi (mpc_ptr z, mpc_srcptr x, unsigned long y, int sign, mpc_rnd_t rnd) /* computes z = x^(sign*y) */ { int inex; mpc_t t, x3; mpfr_prec_t p, l, l0; long unsigned int u; int has3; /* non-zero if y has '11' in its binary representation */ int loop, done; /* let mpc_pow deal with special values */ if (!mpc_fin_p (x) || mpfr_zero_p (mpc_realref (x)) || mpfr_zero_p (mpc_imagref(x)) || y == 0) return mpc_pow_usi_naive (z, x, y, sign, rnd); /* easy special cases */ else if (y == 1) { if (sign > 0) return mpc_set (z, x, rnd); else return mpc_ui_div (z, 1ul, x, rnd); } else if (y == 2 && sign > 0) return mpc_sqr (z, x, rnd); /* let mpc_pow treat potential over- and underflows */ else { mpfr_exp_t exp_r = mpfr_get_exp (mpc_realref (x)), exp_i = mpfr_get_exp (mpc_imagref (x)); if ( MPC_MAX (exp_r, exp_i) > mpfr_get_emax () / (mpfr_exp_t) y /* heuristic for overflow */ || MPC_MAX (-exp_r, -exp_i) > (-mpfr_get_emin ()) / (mpfr_exp_t) y /* heuristic for underflow */ ) return mpc_pow_usi_naive (z, x, y, sign, rnd); } has3 = (y & (y >> 1)) != 0; for (l = 0, u = y; u > 3; l ++, u >>= 1); /* l>0 is the number of bits of y, minus 2, thus y has bits: y_{l+1} y_l y_{l-1} ... y_1 y_0 */ l0 = l + 2; p = MPC_MAX_PREC(z) + l0 + 32; /* l0 ensures that y*2^{-p} <= 1 below */ mpc_init2 (t, p); if (has3) mpc_init2 (x3, p); loop = 0; done = 0; while (!done) { loop++; mpc_sqr (t, x, MPC_RNDNN); if (has3) { mpc_mul (x3, t, x, MPC_RNDNN); if ((y >> l) & 1) /* y starts with 11... */ mpc_set (t, x3, MPC_RNDNN); } while (l-- > 0) { mpc_sqr (t, t, MPC_RNDNN); if ((y >> l) & 1) { if ((l > 0) && ((y >> (l-1)) & 1)) /* implies has3 <> 0 */ { l--; mpc_sqr (t, t, MPC_RNDNN); mpc_mul (t, t, x3, MPC_RNDNN); } else mpc_mul (t, t, x, MPC_RNDNN); } } if (sign < 0) mpc_ui_div (t, 1ul, t, MPC_RNDNN); if (mpfr_zero_p (mpc_realref(t)) || mpfr_zero_p (mpc_imagref(t))) { inex = mpc_pow_usi_naive (z, x, y, sign, rnd); /* since mpfr_get_exp() is not defined for zero */ done = 1; } else { /* see error bound in algorithms.tex; we use y<2^l0 instead of y-1 also when sign>0 */ mpfr_exp_t diff; mpfr_prec_t er, ei; diff = mpfr_get_exp (mpc_realref(t)) - mpfr_get_exp (mpc_imagref(t)); /* the factor on the real part is 2+2^(-diff+2) <= 4 for diff >= 1 and < 2^(-diff+3) for diff <= 0 */ er = (diff >= 1) ? l0 + 3 : l0 + (-diff) + 3; /* the factor on the imaginary part is 2+2^(diff+2) <= 4 for diff <= -1 and < 2^(diff+3) for diff >= 0 */ ei = (diff <= -1) ? l0 + 3 : l0 + diff + 3; if (mpfr_can_round (mpc_realref(t), p - er, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_RE(z) + (MPC_RND_RE(rnd) == MPFR_RNDN)) && mpfr_can_round (mpc_imagref(t), p - ei, MPFR_RNDN, MPFR_RNDZ, MPC_PREC_IM(z) + (MPC_RND_IM(rnd) == MPFR_RNDN))) { inex = mpc_set (z, t, rnd); done = 1; } else if (loop == 1 && SAFE_ABS(mpfr_prec_t, diff) < MPC_MAX_PREC(z)) { /* common case, make a second trial at higher precision */ p += MPC_MAX_PREC(x); mpc_set_prec (t, p); if (has3) mpc_set_prec (x3, p); l = l0 - 2; } else { /* stop the loop and use mpc_pow */ inex = mpc_pow_usi_naive (z, x, y, sign, rnd); done = 1; } } } mpc_clear (t); if (has3) mpc_clear (x3); return inex; } int mpc_pow_ui (mpc_ptr z, mpc_srcptr x, unsigned long y, mpc_rnd_t rnd) { return mpc_pow_usi (z, x, y, 1, rnd); } mpc-1.3.1/src/mul_2si.c0000644000175100017460000000203312426164730011532 00000000000000/* mpc_mul_2si -- Multiply a complex number by 2^e. Copyright (C) 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_2si (mpc_ptr a, mpc_srcptr b, long int c, mpc_rnd_t rnd) { int inex_re, inex_im; inex_re = mpfr_mul_2si (mpc_realref(a), mpc_realref(b), c, MPC_RND_RE(rnd)); inex_im = mpfr_mul_2si (mpc_imagref(a), mpc_imagref(b), c, MPC_RND_IM(rnd)); return MPC_INEX(inex_re, inex_im); } mpc-1.3.1/configure.ac0000644000175100017460000001734714346567577011554 00000000000000# Copyright (C) 2008, 2009, 2010, 2011, 2012, 2014, 2016, 2017, 2018, 2020, 2022 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your # option) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # -*- Autoconf -*- # Process this file with autoconf to produce a configure script. AC_PREREQ([2.69]) AC_INIT([mpc],[1.3.1],[mpc-discuss@inria.fr]) AC_CONFIG_SRCDIR([src/mpc-impl.h]) AC_CONFIG_AUX_DIR([build-aux]) AC_CONFIG_HEADERS([config.h]) AM_INIT_AUTOMAKE AM_MAINTAINER_MODE USER_CC=$CC USER_CFLAGS=$CFLAGS AC_CANONICAL_HOST AC_CONFIG_MACRO_DIR([m4]) # Extra arguments to configure AC_ARG_WITH([mpfr_include], [AS_HELP_STRING([--with-mpfr-include=DIR], [MPFR include directory])], [CPPFLAGS="-I$withval $CPPFLAGS"]) AC_ARG_WITH([mpfr_lib], [AS_HELP_STRING([--with-mpfr-lib=DIR], [MPFR lib directory])], [LDFLAGS="-L$withval $LDFLAGS"]) AC_ARG_WITH([mpfr], [AS_HELP_STRING([--with-mpfr=DIR], [MPFR install directory])], [ if test -z "$with_mpfr_include" -a -z "$with_mpfr_lib" ; then CPPFLAGS="-I$withval/include $CPPFLAGS" LDFLAGS="-L$withval/lib $LDFLAGS" else AC_MSG_FAILURE([Do not use --with-mpfr and --with-mpfr-include/--with-mpfr-lib options simultaneously.]) fi ]) AC_ARG_WITH([gmp_include], [AS_HELP_STRING([--with-gmp-include=DIR], [GMP include directory])], [CPPFLAGS="-I$withval $CPPFLAGS"]) AC_ARG_WITH([gmp_lib], [AS_HELP_STRING([--with-gmp-lib=DIR], [GMP lib directory])], [LDFLAGS="-L$withval $LDFLAGS"]) AC_ARG_WITH([gmp], [AS_HELP_STRING([--with-gmp=DIR], [GMP install directory])], [ if test -z "$with_gmp_lib" -a -z "$with_gmp_include" ; then CPPFLAGS="-I$withval/include $CPPFLAGS" LDFLAGS="-L$withval/lib $LDFLAGS" else AC_MSG_FAILURE([Do not use --with-gmp and --with-gmp-include/--with-gmp-lib options simultaneously.]) fi ]) AC_ARG_ENABLE([logging], [AS_HELP_STRING([--enable-logging], [enable logging of function calls to stderr (default = no)])], [case $enableval in yes) AS_IF([test "x$enable_shared" = "xno"], AC_MSG_ERROR([Logging works only with shared libraries; do not mix --enable-logging and --disable-shared])) ;; no) ;; *) AC_MSG_ERROR([Bad value for --enable-logging: Use yes or no]) ;; esac ] ) AC_ARG_ENABLE([valgrind-tests], [AS_HELP_STRING([--enable-valgrind-tests], [run checks through valgrind (default = no)])], [case $enableval in yes) gl_VALGRIND_TESTS ;; no) ;; *) AC_MSG_ERROR([Bad value for --enable-valgrind-tests: Use yes or no]) ;; esac ] ) # Check for CC and CFLAGS in gmp.h unless the user specified one of them # look for EGREP and SED here, see continued problem # at https://sympa.inria.fr/sympa/arc/mpc-discuss/2012-01/msg00001.html AC_PROG_EGREP AC_PROG_SED if test -z "$USER_CC" && test -z "$USER_CFLAGS"; then MPC_GMP_CC_CFLAGS fi # Setup CC and CFLAGS AC_PROG_CC AC_LANG(C) # automake 1.12 seems to require this, but automake 1.11 doesn't recognize it m4_ifdef([AM_PROG_AR], [AM_PROG_AR]) # Set up LibTool LT_INIT(win32-dll) # Check GMP Header AC_MSG_CHECKING(for gmp.h) AC_COMPILE_IFELSE([AC_LANG_SOURCE([[ #include "gmp.h" ]])],[AC_MSG_RESULT(yes)],[ AC_MSG_RESULT(no) AC_MSG_ERROR([gmp.h cannot be found or is unusable.]) ]) # Checks for header files. 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# UTC # Copyright (C) 1995-2021 Free Software Foundation, Inc. # written by Ulrich Drepper , June 1995 # # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2, or (at your option) # any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . # As a special exception to the GNU General Public License, if you # distribute this file as part of a program that contains a # configuration script generated by Autoconf, you may include it under # the same distribution terms that you use for the rest of that program. # This file is maintained in Automake, please report # bugs to or send patches to # . if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then emulate sh NULLCMD=: # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' setopt NO_GLOB_SUBST fi case $1 in '') echo "$0: No file. Try '$0 --help' for more information." 1>&2 exit 1; ;; -h | --h*) cat <<\EOF Usage: mdate-sh [--help] [--version] FILE Pretty-print the modification day of FILE, in the format: 1 January 1970 Report bugs to . EOF exit $? ;; -v | --v*) echo "mdate-sh $scriptversion" exit $? ;; esac error () { echo "$0: $1" >&2 exit 1 } # Prevent date giving response in another language. LANG=C export LANG LC_ALL=C export LC_ALL LC_TIME=C export LC_TIME # Use UTC to get reproducible result. TZ=UTC0 export TZ # GNU ls changes its time format in response to the TIME_STYLE # variable. Since we cannot assume 'unset' works, revert this # variable to its documented default. if test "${TIME_STYLE+set}" = set; then TIME_STYLE=posix-long-iso export TIME_STYLE fi save_arg1=$1 # Find out how to get the extended ls output of a file or directory. if ls -L /dev/null 1>/dev/null 2>&1; then ls_command='ls -L -l -d' else ls_command='ls -l -d' fi # Avoid user/group names that might have spaces, when possible. if ls -n /dev/null 1>/dev/null 2>&1; then ls_command="$ls_command -n" fi # A 'ls -l' line looks as follows on OS/2. # drwxrwx--- 0 Aug 11 2001 foo # This differs from Unix, which adds ownership information. # drwxrwx--- 2 root root 4096 Aug 11 2001 foo # # To find the date, we split the line on spaces and iterate on words # until we find a month. This cannot work with files whose owner is a # user named "Jan", or "Feb", etc. However, it's unlikely that '/' # will be owned by a user whose name is a month. So we first look at # the extended ls output of the root directory to decide how many # words should be skipped to get the date. # On HPUX /bin/sh, "set" interprets "-rw-r--r--" as options, so the "x" below. set x`$ls_command /` # Find which argument is the month. month= command= until test $month do test $# -gt 0 || error "failed parsing '$ls_command /' output" shift # Add another shift to the command. command="$command shift;" case $1 in Jan) month=January; nummonth=1;; Feb) month=February; nummonth=2;; Mar) month=March; nummonth=3;; Apr) month=April; nummonth=4;; May) month=May; nummonth=5;; Jun) month=June; nummonth=6;; Jul) month=July; nummonth=7;; Aug) month=August; nummonth=8;; Sep) month=September; nummonth=9;; Oct) month=October; nummonth=10;; Nov) month=November; nummonth=11;; Dec) month=December; nummonth=12;; esac done test -n "$month" || error "failed parsing '$ls_command /' output" # Get the extended ls output of the file or directory. set dummy x`eval "$ls_command \"\\\$save_arg1\""` # Remove all preceding arguments eval $command # Because of the dummy argument above, month is in $2. # # On a POSIX system, we should have # # $# = 5 # $1 = file size # $2 = month # $3 = day # $4 = year or time # $5 = filename # # On Darwin 7.7.0 and 7.6.0, we have # # $# = 4 # $1 = day # $2 = month # $3 = year or time # $4 = filename # Get the month. case $2 in Jan) month=January; nummonth=1;; Feb) month=February; nummonth=2;; Mar) month=March; nummonth=3;; Apr) month=April; nummonth=4;; May) month=May; nummonth=5;; Jun) month=June; nummonth=6;; Jul) month=July; nummonth=7;; Aug) month=August; nummonth=8;; Sep) month=September; nummonth=9;; Oct) month=October; nummonth=10;; Nov) month=November; nummonth=11;; Dec) month=December; nummonth=12;; esac case $3 in ???*) day=$1;; *) day=$3; shift;; esac # Here we have to deal with the problem that the ls output gives either # the time of day or the year. case $3 in *:*) set `date`; eval year=\$$# case $2 in Jan) nummonthtod=1;; Feb) nummonthtod=2;; Mar) nummonthtod=3;; Apr) nummonthtod=4;; May) nummonthtod=5;; Jun) nummonthtod=6;; Jul) nummonthtod=7;; Aug) nummonthtod=8;; Sep) nummonthtod=9;; Oct) nummonthtod=10;; Nov) nummonthtod=11;; Dec) nummonthtod=12;; esac # For the first six month of the year the time notation can also # be used for files modified in the last year. if (expr $nummonth \> $nummonthtod) > /dev/null; then year=`expr $year - 1` fi;; *) year=$3;; esac # The result. echo $day $month $year # Local Variables: # mode: shell-script # sh-indentation: 2 # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-start: "scriptversion=" # time-stamp-format: "%:y-%02m-%02d.%02H" # time-stamp-time-zone: "UTC0" # time-stamp-end: "; # UTC" # End: mpc-1.3.1/doc/fdl-1.3.texi0000644000175100017460000005560612426164730011747 00000000000000@c The GNU Free Documentation License. @center Version 1.3, 3 November 2008 @c This file is intended to be included within another document, @c hence no sectioning command or @node. @display Copyright @copyright{} 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. @uref{http://fsf.org/} Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. @end display @enumerate 0 @item PREAMBLE The purpose of this License is to make a manual, textbook, or other functional and useful document @dfn{free} in the sense of freedom: to assure everyone the effective freedom to copy and redistribute it, with or without modifying it, either commercially or noncommercially. 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The operator of an MMC Site may republish an MMC contained in the site under CC-BY-SA on the same site at any time before August 1, 2009, provided the MMC is eligible for relicensing. @end enumerate @page @heading ADDENDUM: How to use this License for your documents To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page: @smallexample @group Copyright (C) @var{year} @var{your name}. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled ``GNU Free Documentation License''. @end group @end smallexample If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the ``with@dots{}Texts.'' line with this: @smallexample @group with the Invariant Sections being @var{list their titles}, with the Front-Cover Texts being @var{list}, and with the Back-Cover Texts being @var{list}. @end group @end smallexample If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation. If your document contains nontrivial examples of program code, we recommend releasing these examples in parallel under your choice of free software license, such as the GNU General Public License, to permit their use in free software. @c Local Variables: @c ispell-local-pdict: "ispell-dict" @c End: mpc-1.3.1/doc/mpc.texi0000644000175100017460000021165614346567637011501 00000000000000\input texinfo @setfilename mpc.info @include version.texi @settitle GNU MPC @value{VERSION} @set MINGMP 5.0.0 @set MINMPFR 4.1.0 @set AUTHORS Andreas Enge, Philippe Th@'eveny, Paul Zimmermann @copying This manual is for GNU MPC, a library for multiple precision complex arithmetic, version @value{VERSION} of @value{UPDATED-MONTH}. Copyright @copyright{} 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2016, 2018, 2020, 2022 INRIA @quotation Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections. A copy of the license is included in the section entitled ``GNU Free Documentation License.'' @end quotation @end copying @iftex @afourpaper @end iftex @tex \global\parindent=0pt \global\parskip=8pt \global\baselineskip=13pt @end tex @dircategory GNU Packages @direntry * mpc: (mpc)Multiple Precision Complex Library. @end direntry @titlepage @title GNU MPC @subtitle The GNU Multiple Precision Complex Library @subtitle Edition @value{VERSION} @subtitle @value{UPDATED-MONTH} @author @value{AUTHORS} @page @vskip 0pt plus 1filll @insertcopying @end titlepage @ifnottex @node Top @top GNU MPC This manual documents how to install and use the GNU Multiple Precision Complex Library, version @value{VERSION} @end ifnottex @menu * Copying:: GNU MPC Copying Conditions (LGPL). * Introduction to GNU MPC:: Brief introduction to GNU MPC. * Installing GNU MPC:: How to configure and compile the GNU MPC library. * Reporting Bugs:: How to usefully report bugs. * GNU MPC Basics:: What every GNU MPC user should know. * Complex Functions:: Functions for arithmetic on complex numbers. * Ball Arithmetic:: Types and functions for complex balls. * References:: * Concept Index:: * Function Index:: * Type Index:: * GNU Free Documentation License:: @end menu @c @times{} made available as a "x" in info and html (already works in tex). @ifnottex @macro times x @end macro @end ifnottex @c @m{T,N} is $T$ in tex or @math{N} otherwise. This is an easy way to give @c different forms for math in tex and info. Commas in N or T don't work, @c but @C{} can be used instead. \, works in info but not in tex. @c (copied from mpfr.texi) @iftex @macro m {T,N} @tex$\T\$@end tex @end macro @end iftex @ifnottex @macro m {T,N} @math{\N\} @end macro @end ifnottex @node Copying @unnumbered GNU MPC Copying Conditions @cindex Copying conditions @cindex Conditions for copying GNU MPC GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see @uref{http://www.gnu.org/licenses/}. @node Introduction to GNU MPC @chapter Introduction to GNU MPC GNU MPC is a portable library written in C for arbitrary precision arithmetic on complex numbers providing correct rounding. It implements a multiprecision equivalent of the C99 standard. It builds upon the GNU MP and the GNU MPFR libraries. @section How to use this Manual Everyone should read @ref{GNU MPC Basics}. If you need to install the library yourself, you need to read @ref{Installing GNU MPC}, too. The remainder of the manual can be used for later reference, although it is probably a good idea to skim through it. @node Installing GNU MPC @chapter Installing GNU MPC @cindex Installation To build GNU MPC, you first have to install GNU MP (version @value{MINGMP} or higher) and GNU MPFR (version @value{MINMPFR} or higher) on your computer. You need a C compiler; GCC version 4.4 or higher is recommended, since GNU MPC may trigger a bug in previous versions, see the thread at @uref{https://sympa.inria.fr/sympa/arc/mpc-discuss/2011-02/msg00024.html}. And you need a standard Unix @samp{make} program, plus some other standard Unix utility programs. Here are the steps needed to install the library on Unix systems: @enumerate @item @samp{tar xzf mpc-@value{VERSION}.tar.gz} @item @samp{cd mpc-@value{VERSION}} @item @samp{./configure} if GMP and GNU MPFR are installed into standard directories, that is, directories that are searched by default by the compiler and the linking tools. @samp{./configure --with-gmp=} is used to indicate a different location where GMP is installed. Alternatively, you can specify directly GMP include and GMP lib directories with @samp{./configure --with-gmp-lib= --with-gmp-include=}. @samp{./configure --with-mpfr=} is used to indicate a different location where GNU MPFR is installed. Alternatively, you can specify directly GNU MPFR include and GNU MPFR lib directories with @samp{./configure --with-mpf-lib= --with-mpfr-include=}. Another useful parameter is @samp{--prefix}, which can be used to specify an alternative installation location instead of @file{/usr/local}; see @samp{make install} below. To enable checking for memory leaks using @command{valgrind} during @code{make check}, add the parameter @code{--enable-valgrind-tests}. If for debugging purposes you wish to log calls to GNU MPC functions from within your code, add the parameter @samp{--enable-logging}. In your code, replace the inclusion of @file{mpc.h} by @file{mpc-log.h} and link the executable dynamically. Then all calls to functions with only complex arguments are printed to @file{stderr} in the following form: First, the function name is given, followed by its type such as @samp{c_cc}, meaning that the function has one complex result (one @samp{c} in front of the @samp{_}), computed from two complex arguments (two @samp{c} after the @samp{_}). Then, the precisions of the real and the imaginary part of the first result is given, followed by the second one and so on. Finally, for each argument, the precisions of its real and imaginary part are specified and the argument itself is printed in hexadecimal via the function @code{mpc_out_str} (@pxref{String and Stream Input and Output}). The option requires a dynamic library, so it may not be combined with @code{--disable-shared}. Use @samp{./configure --help} for an exhaustive list of parameters. @item @samp{make} This compiles GNU MPC in the working directory. @item @samp{make check} This will make sure GNU MPC was built correctly. If you get error messages, please report them to @samp{mpc-discuss@@inria.fr} (@xref{Reporting Bugs}, for information on what to include in useful bug reports). @item @samp{make install} This will copy the file @file{mpc.h} to the directory @file{/usr/local/include}, the file @file{libmpc.a} to the directory @file{/usr/local/lib}, and the file @file{mpc.info} to the directory @file{/usr/local/share/info} (or if you passed the @samp{--prefix} option to @file{configure}, using the prefix directory given as argument to @samp{--prefix} instead of @file{/usr/local}). Note: you need write permissions on these directories. @end enumerate @section Other `make' Targets There are some other useful make targets: @itemize @bullet @item @samp{info} Create an info version of the manual, in @file{mpc.info}. @item @samp{pdf} Create a PDF version of the manual, in @file{doc/mpc.pdf}. @item @samp{dvi} Create a DVI version of the manual, in @file{doc/mpc.dvi}. @item @samp{ps} Create a Postscript version of the manual, in @file{doc/mpc.ps}. @item @samp{html} Create an HTML version of the manual, in several pages in the directory @file{doc/mpc.html}; if you want only one output HTML file, then type @samp{makeinfo --html --no-split mpc.texi} instead. @item @samp{clean} Delete all object files and archive files, but not the configuration files. @item @samp{distclean} Delete all files not included in the distribution. @item @samp{uninstall} Delete all files copied by @samp{make install}. @end itemize @section Known Build Problems On AIX, if GMP was built with the 64-bit ABI, before building and testing GNU MPC, it might be necessary to set the @samp{OBJECT_MODE} environment variable to 64 by, e.g., @samp{export OBJECT_MODE=64} This has been tested with the C compiler IBM XL C/C++ Enterprise Edition V8.0 for AIX, version: 08.00.0000.0021, GMP 4.2.4 and GNU MPFR 2.4.1. Please report any other problems you encounter to @samp{mpc-discuss@@inria.fr}. @xref{Reporting Bugs}. @node Reporting Bugs @chapter Reporting Bugs @cindex Reporting bugs If you think you have found a bug in the GNU MPC library, please investigate and report it. We have made this library available to you, and it is not to ask too much from you, to ask you to report the bugs that you find. There are a few things you should think about when you put your bug report together. You have to send us a test case that makes it possible for us to reproduce the bug. Include instructions on how to run the test case. You also have to explain what is wrong; if you get a crash, or if the results printed are incorrect and in that case, in what way. Please include compiler version information in your bug report. This can be extracted using @samp{gcc -v}, or @samp{cc -V} on some machines. Also, include the output from @samp{uname -a}. If your bug report is good, we will do our best to help you to get a corrected version of the library; if the bug report is poor, we will not do anything about it (aside of chiding you to send better bug reports). Send your bug report to: @samp{mpc-discuss@@inria.fr}. If you think something in this manual is unclear, or downright incorrect, or if the language needs to be improved, please send a note to the same address. @node GNU MPC Basics @chapter GNU MPC Basics @cindex @file{mpc.h} All declarations needed to use GNU MPC are collected in the include file @file{mpc.h}. It is designed to work with both C and C++ compilers. You should include that file in any program using the GNU MPC library by adding the line @example #include "mpc.h" @end example @section Nomenclature and Types @cindex Complex number @tindex mpc_t @tindex mpc_ptr @tindex mpc_srcptr @noindent @dfn{Complex number} or @dfn{Complex} for short, is a pair of two arbitrary precision floating-point numbers (for the real and imaginary parts). The C data type for such objects is @code{mpc_t}. @cindex Precision @tindex mpfr_prec_t @noindent The @dfn{Precision} is the number of bits used to represent the mantissa of the real and imaginary parts; the corresponding C data type is @code{mpfr_prec_t}. For more details on the allowed precision range, @ifinfo @pxref{Nomenclature and Types,,, mpfr.info,GNU MPFR}. @end ifinfo @ifnotinfo see Section ``Nomenclature and Types'' in @cite{GNU MPFR}. @end ifnotinfo @cindex Rounding Mode @tindex mpc_rnd_t @noindent The @dfn{rounding mode} specifies the way to round the result of a complex operation, in case the exact result can not be represented exactly in the destination mantissa; the corresponding C data type is @code{mpc_rnd_t}. A complex rounding mode is a pair of two rounding modes: one for the real part, one for the imaginary part. @section Function Classes There is only one class of functions in the GNU MPC library, namely functions for complex arithmetic. The function names begin with @code{mpc_}. The associated type is @code{mpc_t}. @section GNU MPC Variable Conventions As a general rule, all GNU MPC functions expect output arguments before input arguments. This notation is based on an analogy with the assignment operator. GNU MPC allows you to use the same variable for both input and output in the same expression. For example, the main function for floating-point multiplication, @code{mpc_mul}, can be used like this: @code{mpc_mul (x, x, x, rnd_mode)}. This computes the square of @var{x} with rounding mode @code{rnd_mode} and puts the result back in @var{x}. Before you can assign to an GNU MPC variable, you need to initialise it by calling one of the special initialization functions. When you are done with a variable, you need to clear it out, using one of the functions for that purpose. A variable should only be initialised once, or at least cleared out between each initialization. After a variable has been initialised, it may be assigned to any number of times. For efficiency reasons, avoid to initialise and clear out a variable in loops. Instead, initialise it before entering the loop, and clear it out after the loop has exited. You do not need to be concerned about allocating additional space for GNU MPC variables, since each of its real and imaginary part has a mantissa of fixed size. Hence unless you change its precision, or clear and reinitialise it, a complex variable will have the same allocated space during all its life. @section Rounding Modes A complex rounding mode is of the form @code{MPC_RNDxy} where @code{x} and @code{y} are one of @code{N} (to nearest), @code{Z} (towards zero), @code{U} (towards plus infinity), @code{D} (towards minus infinity), @code{A} (away from zero, that is, towards plus or minus infinity depending on the sign of the number to be rounded). The first letter refers to the rounding mode for the real part, and the second one for the imaginary part. For example @code{MPC_RNDZU} indicates to round the real part towards zero, and the imaginary part towards plus infinity. The @samp{round to nearest} mode works as in the IEEE P754 standard: in case the number to be rounded lies exactly in the middle of two representable numbers, it is rounded to the one with the least significant bit set to zero. For example, the number 5, which is represented by (101) in binary, is rounded to (100)=4 with a precision of two bits, and not to (110)=6. @anchor{return-value} @section Return Value Most GNU MPC functions have a return value of type @code{int}, which is used to indicate the position of the rounded real and imaginary parts with respect to the exact (infinite precision) values. If this integer is @code{i}, the macros @code{MPC_INEX_RE(i)} and @code{MPC_INEX_IM(i)} give 0 if the corresponding rounded value is exact, a negative value if the rounded value is less than the exact one, and a positive value if it is greater than the exact one. Similarly, functions computing a result of type @code{mpfr_t} return an integer that is 0, positive or negative depending on whether the rounded value is the same, larger or smaller then the exact result. Some functions, such as @code{mpc_sin_cos}, compute two complex results; the macros @code{MPC_INEX1(i)} and @code{MPC_INEX2(i)}, applied to the return value @code{i} of such a function, yield the exactness value corresponding to the first or the second computed value, respectively. @section Branch Cuts And Special Values Some complex functions have branch cuts, across which the function is discontinous. In GNU MPC, the branch cuts chosen are the same as those specified for the corresponding functions in the ISO C99 standard. Likewise, when evaluated at a point whose real or imaginary part is either infinite or a NaN or a signed zero, a function returns the same value as those specified for the corresponding function in the ISO C99 standard. @node Complex Functions @chapter Complex Functions @cindex Complex functions The complex functions expect arguments of type @code{mpc_t}. The GNU MPC floating-point functions have an interface that is similar to the GNU MP integer functions. The function prefix for operations on complex numbers is @code{mpc_}. @cindex User-defined precision The precision of a computation is defined as follows: Compute the requested operation exactly (with ``infinite precision''), and round the result to the destination variable precision with the given rounding mode. The GNU MPC complex functions are intended to be a smooth extension of the IEEE P754 arithmetic. The results obtained on one computer should not differ from the results obtained on a computer with a different word size. @menu * Initializing Complex Numbers:: * Assigning Complex Numbers:: * Converting Complex Numbers:: * String and Stream Input and Output:: * Complex Comparison:: * Projection & Decomposing:: * Basic Arithmetic:: * Power Functions and Logarithm:: * Trigonometric Functions:: * Modular Functions:: * Miscellaneous Complex Functions:: * Advanced Functions:: * Internals:: @end menu @node Initializing Complex Numbers @section Initialization Functions An @code{mpc_t} object must be initialised before storing the first value in it. The functions @code{mpc_init2} and @code{mpc_init3} are used for that purpose. @deftypefun void mpc_init2 (mpc_t @var{z}, mpfr_prec_t @var{prec}) Initialise @var{z} to precision @var{prec} bits and set its real and imaginary parts to NaN. Normally, a variable should be initialised once only or at least be cleared, using @code{mpc_clear}, between initializations. @end deftypefun @deftypefun void mpc_init3 (mpc_t @var{z}, mpfr_prec_t @var{prec_r}, mpfr_prec_t @var{prec_i}) Initialise @var{z} with the precision of its real part being @var{prec_r} bits and the precision of its imaginary part being @var{prec_i} bits, and set the real and imaginary parts to NaN. @end deftypefun @deftypefun void mpc_clear (mpc_t @var{z}) Free the space occupied by @var{z}. Make sure to call this function for all @code{mpc_t} variables when you are done with them. @end deftypefun @need 2000 Here is an example on how to initialise complex variables: @example @{ mpc_t x, y; mpc_init2 (x, 256); /* precision @emph{exactly} 256 bits */ mpc_init3 (y, 100, 50); /* 100/50 bits for the real/imaginary part */ @dots{} mpc_clear (x); mpc_clear (y); @} @end example The following function is useful for changing the precision during a calculation. A typical use would be for adjusting the precision gradually in iterative algorithms like Newton-Raphson, making the computation precision closely match the actual accurate part of the numbers. @deftypefun void mpc_set_prec (mpc_t @var{x}, mpfr_prec_t @var{prec}) Reset the precision of @var{x} to be @strong{exactly} @var{prec} bits, and set its real/imaginary parts to NaN. The previous value stored in @var{x} is lost. It is equivalent to a call to @code{mpc_clear(x)} followed by a call to @code{mpc_init2(x, prec)}, but more efficient as no allocation is done in case the current allocated space for the mantissa of @var{x} is sufficient. @end deftypefun @deftypefun mpfr_prec_t mpc_get_prec (const mpc_t @var{x}) If the real and imaginary part of @var{x} have the same precision, it is returned, otherwise, 0 is returned. @end deftypefun @deftypefun void mpc_get_prec2 (mpfr_prec_t* @var{pr}, mpfr_prec_t* @var{pi}, const mpc_t @var{x}) Returns the precision of the real part of @var{x} via @var{pr} and of its imaginary part via @var{pi}. @end deftypefun @node Assigning Complex Numbers @section Assignment Functions @cindex Complex assignment functions These functions assign new values to already initialised complex numbers (@pxref{Initializing Complex Numbers}). When using any functions with @code{intmax_t} or @code{uintmax_t} parameters, you must include @code{} or @code{} @emph{before} @file{mpc.h}, to allow @file{mpc.h} to define prototypes for these functions. Similarly, functions with parameters of type @code{complex} or @code{long complex} are defined only if @code{} is included @emph{before} @file{mpc.h}. If you need assignment functions that are not in the current API, you can define them using the @code{MPC_SET_X_Y} macro (@pxref{Advanced Functions}). @deftypefun int mpc_set (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set the value of @var{rop} from @var{op}, rounded to the precision of @var{rop} with the given rounding mode @var{rnd}. @end deftypefun @deftypefun int mpc_set_ui (mpc_t @var{rop}, unsigned long int @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_si (mpc_t @var{rop}, long int @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_uj (mpc_t @var{rop}, uintmax_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_sj (mpc_t @var{rop}, intmax_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_d (mpc_t @var{rop}, double @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_ld (mpc_t @var{rop}, long double @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_dc (mpc_t @var{rop}, double _Complex @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_ldc (mpc_t @var{rop}, long double _Complex @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_z (mpc_t @var{rop}, const mpz_t @var{op} mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_q (mpc_t @var{rop}, const mpq_t @var{op} mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_f (mpc_t @var{rop}, const mpf_t @var{op} mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_fr (mpc_t @var{rop}, const mpfr_t @var{op}, mpc_rnd_t @var{rnd}) Set the value of @var{rop} from @var{op}, rounded to the precision of @var{rop} with the given rounding mode @var{rnd}. The argument @var{op} is interpreted as real, so the imaginary part of @var{rop} is set to zero with a positive sign. Please note that even a @code{long int} may have to be rounded, if the destination precision is less than the machine word width. For @code{mpc_set_d}, be careful that the input number @var{op} may not be exactly representable as a double-precision number (this happens for 0.1 for instance), in which case it is first rounded by the C compiler to a double-precision number, and then only to a complex number. @end deftypefun @deftypefun int mpc_set_ui_ui (mpc_t @var{rop}, unsigned long int @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_si_si (mpc_t @var{rop}, long int @var{op1}, long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_uj_uj (mpc_t @var{rop}, uintmax_t @var{op1}, uintmax_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_sj_sj (mpc_t @var{rop}, intmax_t @var{op1}, intmax_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_d_d (mpc_t @var{rop}, double @var{op1}, double @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_ld_ld (mpc_t @var{rop}, long double @var{op1}, long double @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_z_z (mpc_t @var{rop}, const mpz_t @var{op1}, const mpz_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_q_q (mpc_t @var{rop}, const mpq_t @var{op1}, const mpq_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_f_f (mpc_t @var{rop}, const mpf_t @var{op1}, const mpf_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_set_fr_fr (mpc_t @var{rop}, const mpfr_t @var{op1}, const mpfr_t @var{op2}, mpc_rnd_t @var{rnd}) Set the real part of @var{rop} from @var{op1}, and its imaginary part from @var{op2}, according to the rounding mode @var{rnd}. Beware that the behaviour of @code{mpc_set_fr_fr} is undefined if @var{op1} or @var{op2} is a pointer to the real or imaginary part of @var{rop}. To exchange the real and the imaginary part of a complex number, either use @code{mpfr_swap (mpc_realref (rop), mpc_imagref (rop))}, which also exchanges the precisions of the two parts; or use a temporary variable. @end deftypefun For functions assigning complex variables from strings or input streams, @pxref{String and Stream Input and Output}. @deftypefun void mpc_set_nan (mpc_t @var{rop}) Set @var{rop} to Nan+i*NaN. @end deftypefun @deftypefun void mpc_swap (mpc_t @var{op1}, mpc_t @var{op2}) Swap the values of @var{op1} and @var{op2} efficiently. Warning: The precisions are exchanged, too; in case these are different, @code{mpc_swap} is thus not equivalent to three @code{mpc_set} calls using a third auxiliary variable. @end deftypefun @node Converting Complex Numbers @section Conversion Functions @cindex Conversion functions The following functions are available only if @code{} is included @emph{before} @file{mpc.h}. @deftypefun double _Complex mpc_get_dc (const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx {long double _Complex} mpc_get_ldc (mpc_t @var{op}, mpc_rnd_t @var{rnd}) Convert @var{op} to a C complex number, using the rounding mode @var{rnd}. @end deftypefun For functions converting complex variables to strings or stream output, @pxref{String and Stream Input and Output}. @node String and Stream Input and Output @section String and Stream Input and Output @cindex String and stream input and output @deftypefun int mpc_strtoc (mpc_t @var{rop}, const char *@var{nptr}, char **@var{endptr}, int @var{base}, mpc_rnd_t @var{rnd}) Read a complex number from a string @var{nptr} in base @var{base}, rounded to the precision of @var{rop} with the given rounding mode @var{rnd}. The @var{base} must be either 0 or a number from 2 to 36 (otherwise the behaviour is undefined). If @var{nptr} starts with valid data, the result is stored in @var{rop}, the usual inexact value is returned (@pxref{return-value,, Return Value}) and, if @var{endptr} is not the null pointer, @var{*endptr} points to the character just after the valid data. Otherwise, @var{rop} is set to @code{NaN + i * NaN}, -1 is returned and, if @var{endptr} is not the null pointer, the value of @var{nptr} is stored in the location referenced by @var{endptr}. The expected form of a complex number string is either a real number (an optional leading whitespace, an optional sign followed by a floating-point number), or a pair of real numbers in parentheses separated by whitespace. If a real number is read, the missing imaginary part is set to +0. The form of a floating-point number depends on the base and is described in the documentation of @code{mpfr_strtofr} @ifinfo (@pxref{Assignment Functions,,, mpfr.info,GNU MPFR}). @end ifinfo @ifnotinfo in the GNU MPFR manual. @end ifnotinfo For instance, @code{"3.1415926"}, @code{"(1.25e+7 +.17)"}, @code{"(@@nan@@ 2)"} and @code{"(-0 -7)"} are valid strings for @var{base} = 10. If @var{base} = 0, then a prefix may be used to indicate the base in which the floating-point number is written. Use prefix '0b' for binary numbers, prefix '0x' for hexadecimal numbers, and no prefix for decimal numbers. The real and imaginary part may then be written in different bases. For instance, @code{"(1.024e+3 +2.05e+3)"} and @code{"(0b1p+10 +0x802)"} are valid strings for @code{base}=0 and represent the same value. @end deftypefun @deftypefun int mpc_set_str (mpc_t @var{rop}, const char *@var{s}, int @var{base}, mpc_rnd_t rnd) Set @var{rop} to the value of the string @var{s} in base @var{base}, rounded to the precision of @var{rop} with the given rounding mode @var{rnd}. See the documentation of @code{mpc_strtoc} for a detailed description of the valid string formats. Contrarily to @code{mpc_strtoc}, @code{mpc_set_str} requires the @emph{whole} string to represent a valid complex number (potentially followed by additional white space). This function returns the usual inexact value (@pxref{return-value,, Return Value}) if the entire string up to the final null character is a valid number in base @var{base}; otherwise it returns @minus{}1, and @var{rop} is set to NaN+i*NaN. @end deftypefun @deftypefun {char *} mpc_get_str (int @var{b}, size_t @var{n}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Convert @var{op} to a string containing its real and imaginary parts, separated by a space and enclosed in a pair of parentheses. The numbers are written in base @var{b} (which may vary from 2 to 36) and rounded according to @var{rnd}. The number of significant digits, at least 2, is given by @var{n}. It is also possible to let @var{n} be zero, in which case the number of digits is chosen large enough so that re-reading the printed value with the same precision, assuming both output and input use rounding to nearest, will recover the original value of @var{op}. Note that @code{mpc_get_str} uses the decimal point of the current locale if available, and @samp{.} otherwise. The string is generated using the current memory allocation function (@code{malloc} by default, unless it has been modified using the custom memory allocation interface of @code{gmp}); once it is not needed any more, it should be freed by calling @code{mpc_free_str}. @end deftypefun @deftypefun {void} mpc_free_str (char *@var{str}) Free the string @var{str}, which needs to have been allocated by a call to @code{mpc_get_str}. @end deftypefun The following two functions read numbers from input streams and write them to output streams. When using any of these functions, you need to include @file{stdio.h} @emph{before} @file{mpc.h}. @deftypefun int mpc_inp_str (mpc_t @var{rop}, FILE *@var{stream}, size_t *@var{read}, int @var{base}, mpc_rnd_t @var{rnd}) Input a string in base @var{base} in the same format as for @code{mpc_strtoc} from stdio stream @var{stream}, rounded according to @var{rnd}, and put the read complex number into @var{rop}. If @var{stream} is the null pointer, @var{rop} is read from @code{stdin}. Return the usual inexact value; if an error occurs, set @var{rop} to @code{NaN + i * NaN} and return -1. If @var{read} is not the null pointer, it is set to the number of read characters. Unlike @code{mpc_strtoc}, the function @code{mpc_inp_str} does not possess perfect knowledge of the string to transform and has to read it character by character, so it behaves slightly differently: It tries to read a string describing a complex number and processes this string through a call to @code{mpc_set_str}. Precisely, after skipping optional whitespace, a minimal string is read according to the regular expression @code{mpfr | '(' \s* mpfr \s+ mpfr \s* ')'}, where @code{\s} denotes a whitespace, and @code{mpfr} is either a string containing neither whitespaces nor parentheses, or @code{nan(n-char-sequence)} or @code{@@nan@@(n-char-sequence)} (regardless of capitalisation) with @code{n-char-sequence} a string of ascii letters, digits or @code{'_'}. For instance, upon input of @code{"nan(13 1)"}, the function @code{mpc_inp_str} starts to recognise a value of NaN followed by an n-char-sequence indicated by the opening parenthesis; as soon as the space is reached, it becomes clear that the expression in parentheses is not an n-char-sequence, and the error flag -1 is returned after 6 characters have been consumed from the stream (the whitespace itself remaining in the stream). The function @code{mpc_strtoc}, on the other hand, may track back when reaching the whitespace; it treats the string as the two successive complex numbers @code{NaN + i * 0} and @code{13 + i}. It is thus recommended to have a whitespace follow each floating point number to avoid this problem. @end deftypefun @deftypefun size_t mpc_out_str (FILE *@var{stream}, int @var{base}, size_t @var{n_digits}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Output @var{op} on stdio stream @var{stream} in base @var{base}, rounded according to @var{rnd}, in the same format as for @code{mpc_strtoc} If @var{stream} is the null pointer, @var{rop} is written to @code{stdout}. Return the number of characters written. @end deftypefun @node Complex Comparison @section Comparison Functions @cindex Complex comparisons functions @cindex Comparison functions @deftypefn Function int mpc_cmp (const mpc_t @var{op1}, const mpc_t @var{op2}) @deftypefnx Function int mpc_cmp_si_si (const mpc_t @var{op1}, long int @var{op2r}, long int @var{op2i}) @deftypefnx Macro int mpc_cmp_si (mpc_t @var{op1}, long int @var{op2}) Compare @var{op1} and @var{op2}, where in the case of @code{mpc_cmp_si_si}, @var{op2} is taken to be @var{op2r} + i @var{op2i}. The return value @var{c} can be decomposed into @code{x = MPC_INEX_RE(c)} and @code{y = MPC_INEX_IM(c)}, such that @var{x} is positive if the real part of @var{op1} is greater than that of @var{op2}, zero if both real parts are equal, and negative if the real part of @var{op1} is less than that of @var{op2}, and likewise for @var{y}. Both @var{op1} and @var{op2} are considered to their full own precision, which may differ. It is not allowed that one of the operands has a NaN (Not-a-Number) part. The storage of the return value is such that equality can be simply checked with @code{mpc_cmp (op1, op2) == 0}. @end deftypefn @deftypefn Function int mpc_cmp_abs (const mpc_t @var{op1}, const mpc_t @var{op2}) Compare the absolute values of @var{op1} and @var{op2}. The return value is 0 if both are the same (including infinity), positive if the absolute value of @var{op1} is greater than that of @var{op2}, and negative if it is smaller. If @var{op1} or @var{op2} has a real or imaginary part which is NaN, the function behaves like @code{mpfr_cmp} on two real numbers of which at least one is NaN. @end deftypefn @node Projection & Decomposing @section Projection and Decomposing Functions @cindex Projection and Decomposing Functions @deftypefn Function int mpc_real (mpfr_t @var{rop}, const mpc_t @var{op}, mpfr_rnd_t @var{rnd}) Set @var{rop} to the value of the real part of @var{op} rounded in the direction @var{rnd}. @end deftypefn @deftypefn Function int mpc_imag (mpfr_t @var{rop}, const mpc_t @var{op}, mpfr_rnd_t @var{rnd}) Set @var{rop} to the value of the imaginary part of @var{op} rounded in the direction @var{rnd}. @end deftypefn @deftypefn Macro mpfr_t mpc_realref (mpc_t @var{op}) @deftypefnx Macro mpfr_t mpc_imagref (mpc_t @var{op}) Return a reference to the real part and imaginary part of @var{op}, respectively. The @code{mpfr} functions can be used on the result of these macros (note that the @code{mpfr_t} type is itself a pointer). @end deftypefn @deftypefn Function int mpc_arg (mpfr_t @var{rop}, const mpc_t @var{op}, mpfr_rnd_t @var{rnd}) Set @var{rop} to the argument of @var{op}, with a branch cut along the negative real axis. @end deftypefn @deftypefn Function int mpc_proj (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Compute a projection of @var{op} onto the Riemann sphere. Set @var{rop} to @var{op} rounded in the direction @var{rnd}, except when at least one part of @var{op} is infinite (even if the other part is a NaN) in which case the real part of @var{rop} is set to plus infinity and its imaginary part to a signed zero with the same sign as the imaginary part of @var{op}. @end deftypefn @node Basic Arithmetic @section Basic Arithmetic Functions @cindex Complex arithmetic functions @cindex Arithmetic functions All the following functions are designed in such a way that, when working with real numbers instead of complex numbers, their complexity should essentially be the same as with the GNU MPFR library, with only a marginal overhead due to the GNU MPC layer. For functions taking as input an integer argument (for example @code{mpc_add_ui}), when this argument is zero, it is considered as an unsigned (that is, exact in this context) zero, and we follow the MPFR conventions: (0) + (+0) = +0, (0) - (+0) = -0, (0) - (+0) = -0, (0) - (-0) = +0. The same applies for functions taking an argument of type @code{mpfr_t}, such as @code{mpc_add_fr}, of which the imaginary part is considered to be an exact, unsigned zero. @deftypefun int mpc_add (mpc_t @var{rop}, const mpc_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_add_ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_add_fr (mpc_t @var{rop}, const mpc_t @var{op1}, const mpfr_t @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1} @math{+} @var{op2} rounded according to @var{rnd}. @end deftypefun @deftypefn Function int mpc_sub (mpc_t @var{rop}, const mpc_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefnx Function int mpc_sub_fr (mpc_t @var{rop}, const mpc_t @var{op1}, const mpfr_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefnx Function int mpc_fr_sub (mpc_t @var{rop}, const mpfr_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefnx Function int mpc_sub_ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefnx Macro int mpc_ui_sub (mpc_t @var{rop}, unsigned long int @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefnx Function int mpc_ui_ui_sub (mpc_t @var{rop}, unsigned long int @var{re1}, unsigned long int @var{im1}, mpc_t @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1} @minus{} @var{op2} rounded according to @var{rnd}. For @code{mpc_ui_ui_sub}, @var{op1} is @var{re1} + @var{im1}. @end deftypefn @deftypefun int mpc_neg (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to @minus{}@var{op} rounded according to @var{rnd}. Just changes the sign if @var{rop} and @var{op} are the same variable. @end deftypefun @deftypefun int mpc_sum (mpc_t @var{rop}, const mpc_ptr* @var{op}, unsigned long @var{n}, mpc_rnd_t @var{rnd}) Set @var{rop} to the sum of the elements in the array @var{op} of length @var{n}, rounded according to @var{rnd}. @end deftypefun @deftypefun int mpc_mul (mpc_t @var{rop}, const mpc_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_mul_ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_mul_si (mpc_t @var{rop}, const mpc_t @var{op1}, long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_mul_fr (mpc_t @var{rop}, const mpc_t @var{op1}, const mpfr_t @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1} times @var{op2} rounded according to @var{rnd}. Note: for @code{mpc_mul}, in case @var{op1} and @var{op2} have the same value, use @code{mpc_sqr} for better efficiency. @end deftypefun @deftypefun int mpc_mul_i (mpc_t @var{rop}, const mpc_t @var{op}, int @var{sgn}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op} times the imaginary unit i if @var{sgn} is non-negative, set @var{rop} to @var{op} times -i otherwise, in both cases rounded according to @var{rnd}. @end deftypefun @deftypefun int mpc_sqr (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the square of @var{op} rounded according to @var{rnd}. @end deftypefun @deftypefun int mpc_fma (mpc_t @var{rop}, const mpc_t @var{op1}, const mpc_t @var{op2}, const mpc_t @var{op3}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1}*@var{op2}+@var{op3}, rounded according to @var{rnd}, with only one final rounding. @end deftypefun @deftypefun int mpc_dot (mpc_t @var{rop}, const mpc_ptr* @var{op1}, mpc_ptr* @var{op2}, unsigned long @var{n}, mpc_rnd_t @var{rnd}) Set @var{rop} to the dot product of the elements in the arrays @var{op1} and @var{op2}, both of length @var{n}, rounded according to @var{rnd}. @end deftypefun @deftypefun int mpc_div (mpc_t @var{rop}, const mpc_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_div_ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_div_fr (mpc_t @var{rop}, const mpc_t @var{op1}, const mpfr_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_ui_div (mpc_t @var{rop}, unsigned long int @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_fr_div (mpc_t @var{rop}, const mpfr_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1}/@var{op2} rounded according to @var{rnd}. @end deftypefun @deftypefun int mpc_conj (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the conjugate of @var{op} rounded according to @var{rnd}. Just changes the sign of the imaginary part if @var{rop} and @var{op} are the same variable. @end deftypefun @deftypefun int mpc_abs (mpfr_t @var{rop}, const mpc_t @var{op}, mpfr_rnd_t @var{rnd}) Set the floating-point number @var{rop} to the absolute value of @var{op}, rounded in the direction @var{rnd}. @end deftypefun @deftypefun int mpc_norm (mpfr_t @var{rop}, const mpc_t @var{op}, mpfr_rnd_t @var{rnd}) Set the floating-point number @var{rop} to the norm of @var{op} (i.e., the square of its absolute value), rounded in the direction @var{rnd}. @end deftypefun @deftypefun int mpc_mul_2ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_mul_2si (mpc_t @var{rop}, const mpc_t @var{op1}, long int @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1} times 2 raised to @var{op2} rounded according to @var{rnd}. Just modifies the exponents of the real and imaginary parts by @var{op2} when @var{rop} and @var{op1} are identical. @end deftypefun @deftypefun int mpc_div_2ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long int @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_div_2si (mpc_t @var{rop}, const mpc_t @var{op1}, long int @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1} divided by 2 raised to @var{op2} rounded according to @var{rnd}. Just modifies the exponents of the real and imaginary parts by @var{op2} when @var{rop} and @var{op1} are identical. @end deftypefun @node Power Functions and Logarithm @section Power Functions and Logarithm @cindex Power functions @cindex Logarithm @deftypefun int mpc_sqrt (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the square root of @var{op} rounded according to @var{rnd}. The returned value @var{rop} has a non-negative real part, and if its real part is zero, a non-negative imaginary part. @end deftypefun @deftypefun int mpc_pow (mpc_t @var{rop}, const mpc_t @var{op1}, const mpc_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_pow_d (mpc_t @var{rop}, const mpc_t @var{op1}, double @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_pow_ld (mpc_t @var{rop}, const mpc_t @var{op1}, long double @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_pow_si (mpc_t @var{rop}, const mpc_t @var{op1}, long @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_pow_ui (mpc_t @var{rop}, const mpc_t @var{op1}, unsigned long @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_pow_z (mpc_t @var{rop}, const mpc_t @var{op1}, const mpz_t @var{op2}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_pow_fr (mpc_t @var{rop}, const mpc_t @var{op1}, const mpfr_t @var{op2}, mpc_rnd_t @var{rnd}) Set @var{rop} to @var{op1} raised to the power @var{op2}, rounded according to @var{rnd}. For @code{mpc_pow_d}, @code{mpc_pow_ld}, @code{mpc_pow_si}, @code{mpc_pow_ui}, @code{mpc_pow_z} and @code{mpc_pow_fr}, the imaginary part of @var{op2} is considered as +0. When both @var{op1} and @var{op2} are zero, the result has real part 1, and imaginary part 0, with sign being the opposite of that of @var{op2}. @end deftypefun @deftypefun int mpc_exp (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the exponential of @var{op}, rounded according to @var{rnd} with the precision of @var{rop}. @end deftypefun @deftypefun int mpc_log (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_log10 (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the natural and base-10 logarithm of @var{op} respectively, rounded according to @var{rnd} with the precision of @var{rop}. The principal branch is chosen, with the branch cut on the negative real axis, so that the imaginary part of the result lies in @iftex @math{]-\pi , \pi]} @end iftex @ifnottex ]-Pi , Pi] @end ifnottex and @iftex @math{]-\pi/\log(10) , \pi/\log(10)]} @end iftex @ifnottex ]-Pi/log(10) , Pi/log(10)] @end ifnottex respectively. @end deftypefun @deftypefun int mpc_rootofunity (mpc_t @var{rop}, unsigned long int @var{n}, unsigned long int @var{k}, mpc_rnd_t @var{rnd}) Set @var{rop} to the standard primitive @var{n}-th root of unity raised to the power @var{k}, that is, @m{\exp (2 \pi i k / n),exp (2 Pi i k / n)}, rounded according to @var{rnd} with the precision of @var{rop}. @end deftypefun @deftypefun int mpc_agm (mpc_t @var{rop}, const mpc_t @var{a}, const mpc_t @var{b}, mpc_rnd_t @var{rnd}) Set @var{rop} to the arithmetic-geometric mean (AGM) of @var{a} and @var{b}, rounded according to @var{rnd} with the precision of @var{rop}. Concerning the branch cut, the function is computed by homogeneity either as @var{a} AGM(1,b0) with b0=@var{b}/@var{a} if |@var{a}|>=|@var{b}|, or as @var{b} AGM(1,b0) with b0=@var{a}/@var{b} otherwise; then when b0 is real and negative, AGM(1,b0) is chosen to have positive imaginary part. @end deftypefun @node Trigonometric Functions @section Trigonometric Functions @cindex Trigonometric functions @deftypefun int mpc_sin (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_cos (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_tan (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the sine, cosine, tangent of @var{op}, rounded according to @var{rnd} with the precision of @var{rop}. @end deftypefun @deftypefun int mpc_sin_cos (mpc_t @var{rop_sin}, mpc_t @var{rop_cos}, const mpc_t @var{op}, mpc_rnd_t @var{rnd_sin}, mpc_rnd_t @var{rnd_cos}) Set @var{rop_sin} to the sine of @var{op}, rounded according to @var{rnd_sin} with the precision of @var{rop_sin}, and @var{rop_cos} to the cosine of @var{op}, rounded according to @var{rnd_cos} with the precision of @var{rop_cos}. @end deftypefun @deftypefun int mpc_sinh (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_cosh (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_tanh (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the hyperbolic sine, hyperbolic cosine, hyperbolic tangent of @var{op}, rounded according to @var{rnd} with the precision of @var{rop}. @end deftypefun @deftypefun int mpc_asin (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_acos (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_atan (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the inverse sine, inverse cosine, inverse tangent of @var{op}, rounded according to @var{rnd} with the precision of @var{rop}. @end deftypefun @deftypefun int mpc_asinh (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_acosh (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) @deftypefunx int mpc_atanh (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Set @var{rop} to the inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent of @var{op}, rounded according to @var{rnd} with the precision of @var{rop}. The branch cut of @code{mpc_acosh} is @iftex @math{(-\infty, 1)}. @end iftex @ifnottex (-Inf, 1) @end ifnottex @end deftypefun @node Modular Functions @section Modular Functions @cindex Modular functions The following function is experimental, not least because it depends on the equally experimental ball arithmetic, see @ref {Ball Arithmetic}. So its prototype may change in future releases, and it may be removed altogether. @deftypefun int mpc_eta_fund (mpc_t @var{rop}, const mpc_t @var{op}, mpc_rnd_t @var{rnd}) Assuming that the argument @var{op} lies in the fundamental domain for @math{Sl_2(Z)}, that is, it has real part not below @math{-1/2} and not above @math{+1/2} and absolute value at least 1, return the value of the Dedekind eta-function in @var{rop}. For arguments outside the fundamental domain the function is expected to loop indefinitely. @end deftypefun @node Miscellaneous Complex Functions @section Miscellaneous Functions @cindex Miscellaneous complex functions @deftypefun int mpc_urandom (mpc_t @var{rop}, gmp_randstate_t @var{state}) Generate a uniformly distributed random complex in the unit square @math{[0, 1] @times [0, 1]}. Return 0, unless an exponent in the real or imaginary part is not in the current exponent range, in which case that part is set to NaN and a zero value is returned. The second argument is a @code{gmp_randstate_t} structure which should be created using the GMP @code{rand_init} function, see the GMP manual. @end deftypefun @deftypefun {const char *} mpc_get_version (void) Return the GNU MPC version, as a null-terminated string. @end deftypefun @defmac MPC_VERSION @defmacx MPC_VERSION_MAJOR @defmacx MPC_VERSION_MINOR @defmacx MPC_VERSION_PATCHLEVEL @defmacx MPC_VERSION_STRING @code{MPC_VERSION} is the version of GNU MPC as a preprocessing constant. @code{MPC_VERSION_MAJOR}, @code{MPC_VERSION_MINOR} and @code{MPC_VERSION_PATCHLEVEL} are respectively the major, minor and patch level of GNU MPC version, as preprocessing constants. @code{MPC_VERSION_STRING} is the version as a string constant, which can be compared to the result of @code{mpc_get_version} to check at run time the header file and library used match: @example if (strcmp (mpc_get_version (), MPC_VERSION_STRING)) fprintf (stderr, "Warning: header and library do not match\n"); @end example Note: Obtaining different strings is not necessarily an error, as in general, a program compiled with some old GNU MPC version can be dynamically linked with a newer GNU MPC library version (if allowed by the library versioning system). @end defmac @deftypefn Macro long MPC_VERSION_NUM (@var{major}, @var{minor}, @var{patchlevel}) Create an integer in the same format as used by @code{MPC_VERSION} from the given @var{major}, @var{minor} and @var{patchlevel}. Here is an example of how to check the GNU MPC version at compile time: @example #if (!defined(MPC_VERSION) || (MPC_VERSION.  File: mpc.info, Node: Introduction to GNU MPC, Next: Installing GNU MPC, Prev: Copying, Up: Top 1 Introduction to GNU MPC ************************* GNU MPC is a portable library written in C for arbitrary precision arithmetic on complex numbers providing correct rounding. It implements a multiprecision equivalent of the C99 standard. It builds upon the GNU MP and the GNU MPFR libraries. 1.1 How to use this Manual ========================== Everyone should read *note GNU MPC Basics::. If you need to install the library yourself, you need to read *note Installing GNU MPC::, too. The remainder of the manual can be used for later reference, although it is probably a good idea to skim through it.  File: mpc.info, Node: Installing GNU MPC, Next: Reporting Bugs, Prev: Introduction to GNU MPC, Up: Top 2 Installing GNU MPC ******************** To build GNU MPC, you first have to install GNU MP (version 5.0.0 or higher) and GNU MPFR (version 4.1.0 or higher) on your computer. You need a C compiler; GCC version 4.4 or higher is recommended, since GNU MPC may trigger a bug in previous versions, see the thread at . And you need a standard Unix ‘make’ program, plus some other standard Unix utility programs. Here are the steps needed to install the library on Unix systems: 1. ‘tar xzf mpc-1.3.1.tar.gz’ 2. ‘cd mpc-1.3.1’ 3. ‘./configure’ if GMP and GNU MPFR are installed into standard directories, that is, directories that are searched by default by the compiler and the linking tools. ‘./configure --with-gmp=’ is used to indicate a different location where GMP is installed. Alternatively, you can specify directly GMP include and GMP lib directories with ‘./configure --with-gmp-lib= --with-gmp-include=’. ‘./configure --with-mpfr=’ is used to indicate a different location where GNU MPFR is installed. Alternatively, you can specify directly GNU MPFR include and GNU MPFR lib directories with ‘./configure --with-mpf-lib= --with-mpfr-include=’. Another useful parameter is ‘--prefix’, which can be used to specify an alternative installation location instead of ‘/usr/local’; see ‘make install’ below. To enable checking for memory leaks using ‘valgrind’ during ‘make check’, add the parameter ‘--enable-valgrind-tests’. If for debugging purposes you wish to log calls to GNU MPC functions from within your code, add the parameter ‘--enable-logging’. In your code, replace the inclusion of ‘mpc.h’ by ‘mpc-log.h’ and link the executable dynamically. Then all calls to functions with only complex arguments are printed to ‘stderr’ in the following form: First, the function name is given, followed by its type such as ‘c_cc’, meaning that the function has one complex result (one ‘c’ in front of the ‘_’), computed from two complex arguments (two ‘c’ after the ‘_’). Then, the precisions of the real and the imaginary part of the first result is given, followed by the second one and so on. Finally, for each argument, the precisions of its real and imaginary part are specified and the argument itself is printed in hexadecimal via the function ‘mpc_out_str’ (*note String and Stream Input and Output::). The option requires a dynamic library, so it may not be combined with ‘--disable-shared’. Use ‘./configure --help’ for an exhaustive list of parameters. 4. ‘make’ This compiles GNU MPC in the working directory. 5. ‘make check’ This will make sure GNU MPC was built correctly. If you get error messages, please report them to ‘mpc-discuss@inria.fr’ (*Note Reporting Bugs::, for information on what to include in useful bug reports). 6. ‘make install’ This will copy the file ‘mpc.h’ to the directory ‘/usr/local/include’, the file ‘libmpc.a’ to the directory ‘/usr/local/lib’, and the file ‘mpc.info’ to the directory ‘/usr/local/share/info’ (or if you passed the ‘--prefix’ option to ‘configure’, using the prefix directory given as argument to ‘--prefix’ instead of ‘/usr/local’). Note: you need write permissions on these directories. 2.1 Other ‘make’ Targets ======================== There are some other useful make targets: • ‘info’ Create an info version of the manual, in ‘mpc.info’. • ‘pdf’ Create a PDF version of the manual, in ‘doc/mpc.pdf’. • ‘dvi’ Create a DVI version of the manual, in ‘doc/mpc.dvi’. • ‘ps’ Create a Postscript version of the manual, in ‘doc/mpc.ps’. • ‘html’ Create an HTML version of the manual, in several pages in the directory ‘doc/mpc.html’; if you want only one output HTML file, then type ‘makeinfo --html --no-split mpc.texi’ instead. • ‘clean’ Delete all object files and archive files, but not the configuration files. • ‘distclean’ Delete all files not included in the distribution. • ‘uninstall’ Delete all files copied by ‘make install’. 2.2 Known Build Problems ======================== On AIX, if GMP was built with the 64-bit ABI, before building and testing GNU MPC, it might be necessary to set the ‘OBJECT_MODE’ environment variable to 64 by, e.g., ‘export OBJECT_MODE=64’ This has been tested with the C compiler IBM XL C/C++ Enterprise Edition V8.0 for AIX, version: 08.00.0000.0021, GMP 4.2.4 and GNU MPFR 2.4.1. Please report any other problems you encounter to ‘mpc-discuss@inria.fr’. *Note Reporting Bugs::.  File: mpc.info, Node: Reporting Bugs, Next: GNU MPC Basics, Prev: Installing GNU MPC, Up: Top 3 Reporting Bugs **************** If you think you have found a bug in the GNU MPC library, please investigate and report it. We have made this library available to you, and it is not to ask too much from you, to ask you to report the bugs that you find. There are a few things you should think about when you put your bug report together. You have to send us a test case that makes it possible for us to reproduce the bug. Include instructions on how to run the test case. You also have to explain what is wrong; if you get a crash, or if the results printed are incorrect and in that case, in what way. Please include compiler version information in your bug report. This can be extracted using ‘gcc -v’, or ‘cc -V’ on some machines. Also, include the output from ‘uname -a’. If your bug report is good, we will do our best to help you to get a corrected version of the library; if the bug report is poor, we will not do anything about it (aside of chiding you to send better bug reports). Send your bug report to: ‘mpc-discuss@inria.fr’. If you think something in this manual is unclear, or downright incorrect, or if the language needs to be improved, please send a note to the same address.  File: mpc.info, Node: GNU MPC Basics, Next: Complex Functions, Prev: Reporting Bugs, Up: Top 4 GNU MPC Basics **************** All declarations needed to use GNU MPC are collected in the include file ‘mpc.h’. It is designed to work with both C and C++ compilers. You should include that file in any program using the GNU MPC library by adding the line #include "mpc.h" 4.1 Nomenclature and Types ========================== “Complex number” or “Complex” for short, is a pair of two arbitrary precision floating-point numbers (for the real and imaginary parts). The C data type for such objects is ‘mpc_t’. The “Precision” is the number of bits used to represent the mantissa of the real and imaginary parts; the corresponding C data type is ‘mpfr_prec_t’. For more details on the allowed precision range, *note (mpfr.info)Nomenclature and Types::. The “rounding mode” specifies the way to round the result of a complex operation, in case the exact result can not be represented exactly in the destination mantissa; the corresponding C data type is ‘mpc_rnd_t’. A complex rounding mode is a pair of two rounding modes: one for the real part, one for the imaginary part. 4.2 Function Classes ==================== There is only one class of functions in the GNU MPC library, namely functions for complex arithmetic. The function names begin with ‘mpc_’. The associated type is ‘mpc_t’. 4.3 GNU MPC Variable Conventions ================================ As a general rule, all GNU MPC functions expect output arguments before input arguments. This notation is based on an analogy with the assignment operator. GNU MPC allows you to use the same variable for both input and output in the same expression. For example, the main function for floating-point multiplication, ‘mpc_mul’, can be used like this: ‘mpc_mul (x, x, x, rnd_mode)’. This computes the square of X with rounding mode ‘rnd_mode’ and puts the result back in X. Before you can assign to an GNU MPC variable, you need to initialise it by calling one of the special initialization functions. When you are done with a variable, you need to clear it out, using one of the functions for that purpose. A variable should only be initialised once, or at least cleared out between each initialization. After a variable has been initialised, it may be assigned to any number of times. For efficiency reasons, avoid to initialise and clear out a variable in loops. Instead, initialise it before entering the loop, and clear it out after the loop has exited. You do not need to be concerned about allocating additional space for GNU MPC variables, since each of its real and imaginary part has a mantissa of fixed size. Hence unless you change its precision, or clear and reinitialise it, a complex variable will have the same allocated space during all its life. 4.4 Rounding Modes ================== A complex rounding mode is of the form ‘MPC_RNDxy’ where ‘x’ and ‘y’ are one of ‘N’ (to nearest), ‘Z’ (towards zero), ‘U’ (towards plus infinity), ‘D’ (towards minus infinity), ‘A’ (away from zero, that is, towards plus or minus infinity depending on the sign of the number to be rounded). The first letter refers to the rounding mode for the real part, and the second one for the imaginary part. For example ‘MPC_RNDZU’ indicates to round the real part towards zero, and the imaginary part towards plus infinity. The ‘round to nearest’ mode works as in the IEEE P754 standard: in case the number to be rounded lies exactly in the middle of two representable numbers, it is rounded to the one with the least significant bit set to zero. For example, the number 5, which is represented by (101) in binary, is rounded to (100)=4 with a precision of two bits, and not to (110)=6. 4.5 Return Value ================ Most GNU MPC functions have a return value of type ‘int’, which is used to indicate the position of the rounded real and imaginary parts with respect to the exact (infinite precision) values. If this integer is ‘i’, the macros ‘MPC_INEX_RE(i)’ and ‘MPC_INEX_IM(i)’ give 0 if the corresponding rounded value is exact, a negative value if the rounded value is less than the exact one, and a positive value if it is greater than the exact one. Similarly, functions computing a result of type ‘mpfr_t’ return an integer that is 0, positive or negative depending on whether the rounded value is the same, larger or smaller then the exact result. Some functions, such as ‘mpc_sin_cos’, compute two complex results; the macros ‘MPC_INEX1(i)’ and ‘MPC_INEX2(i)’, applied to the return value ‘i’ of such a function, yield the exactness value corresponding to the first or the second computed value, respectively. 4.6 Branch Cuts And Special Values ================================== Some complex functions have branch cuts, across which the function is discontinous. In GNU MPC, the branch cuts chosen are the same as those specified for the corresponding functions in the ISO C99 standard. Likewise, when evaluated at a point whose real or imaginary part is either infinite or a NaN or a signed zero, a function returns the same value as those specified for the corresponding function in the ISO C99 standard.  File: mpc.info, Node: Complex Functions, Next: Ball Arithmetic, Prev: GNU MPC Basics, Up: Top 5 Complex Functions ******************* The complex functions expect arguments of type ‘mpc_t’. The GNU MPC floating-point functions have an interface that is similar to the GNU MP integer functions. The function prefix for operations on complex numbers is ‘mpc_’. The precision of a computation is defined as follows: Compute the requested operation exactly (with “infinite precision”), and round the result to the destination variable precision with the given rounding mode. The GNU MPC complex functions are intended to be a smooth extension of the IEEE P754 arithmetic. The results obtained on one computer should not differ from the results obtained on a computer with a different word size. * Menu: * Initializing Complex Numbers:: * Assigning Complex Numbers:: * Converting Complex Numbers:: * String and Stream Input and Output:: * Complex Comparison:: * Projection & Decomposing:: * Basic Arithmetic:: * Power Functions and Logarithm:: * Trigonometric Functions:: * Modular Functions:: * Miscellaneous Complex Functions:: * Advanced Functions:: * Internals::  File: mpc.info, Node: Initializing Complex Numbers, Next: Assigning Complex Numbers, Up: Complex Functions 5.1 Initialization Functions ============================ An ‘mpc_t’ object must be initialised before storing the first value in it. The functions ‘mpc_init2’ and ‘mpc_init3’ are used for that purpose. -- Function: void mpc_init2 (mpc_t Z, mpfr_prec_t PREC) Initialise Z to precision PREC bits and set its real and imaginary parts to NaN. Normally, a variable should be initialised once only or at least be cleared, using ‘mpc_clear’, between initializations. -- Function: void mpc_init3 (mpc_t Z, mpfr_prec_t PREC_R, mpfr_prec_t PREC_I) Initialise Z with the precision of its real part being PREC_R bits and the precision of its imaginary part being PREC_I bits, and set the real and imaginary parts to NaN. -- Function: void mpc_clear (mpc_t Z) Free the space occupied by Z. Make sure to call this function for all ‘mpc_t’ variables when you are done with them. Here is an example on how to initialise complex variables: { mpc_t x, y; mpc_init2 (x, 256); /* precision _exactly_ 256 bits */ mpc_init3 (y, 100, 50); /* 100/50 bits for the real/imaginary part */ ... mpc_clear (x); mpc_clear (y); } The following function is useful for changing the precision during a calculation. A typical use would be for adjusting the precision gradually in iterative algorithms like Newton-Raphson, making the computation precision closely match the actual accurate part of the numbers. -- Function: void mpc_set_prec (mpc_t X, mpfr_prec_t PREC) Reset the precision of X to be *exactly* PREC bits, and set its real/imaginary parts to NaN. The previous value stored in X is lost. It is equivalent to a call to ‘mpc_clear(x)’ followed by a call to ‘mpc_init2(x, prec)’, but more efficient as no allocation is done in case the current allocated space for the mantissa of X is sufficient. -- Function: mpfr_prec_t mpc_get_prec (const mpc_t X) If the real and imaginary part of X have the same precision, it is returned, otherwise, 0 is returned. -- Function: void mpc_get_prec2 (mpfr_prec_t* PR, mpfr_prec_t* PI, const mpc_t X) Returns the precision of the real part of X via PR and of its imaginary part via PI.  File: mpc.info, Node: Assigning Complex Numbers, Next: Converting Complex Numbers, Prev: Initializing Complex Numbers, Up: Complex Functions 5.2 Assignment Functions ======================== These functions assign new values to already initialised complex numbers (*note Initializing Complex Numbers::). When using any functions with ‘intmax_t’ or ‘uintmax_t’ parameters, you must include ‘’ or ‘’ _before_ ‘mpc.h’, to allow ‘mpc.h’ to define prototypes for these functions. Similarly, functions with parameters of type ‘complex’ or ‘long complex’ are defined only if ‘’ is included _before_ ‘mpc.h’. If you need assignment functions that are not in the current API, you can define them using the ‘MPC_SET_X_Y’ macro (*note Advanced Functions::). -- Function: int mpc_set (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set the value of ROP from OP, rounded to the precision of ROP with the given rounding mode RND. -- Function: int mpc_set_ui (mpc_t ROP, unsigned long int OP, mpc_rnd_t RND) -- Function: int mpc_set_si (mpc_t ROP, long int OP, mpc_rnd_t RND) -- Function: int mpc_set_uj (mpc_t ROP, uintmax_t OP, mpc_rnd_t RND) -- Function: int mpc_set_sj (mpc_t ROP, intmax_t OP, mpc_rnd_t RND) -- Function: int mpc_set_d (mpc_t ROP, double OP, mpc_rnd_t RND) -- Function: int mpc_set_ld (mpc_t ROP, long double OP, mpc_rnd_t RND) -- Function: int mpc_set_dc (mpc_t ROP, double _Complex OP, mpc_rnd_t RND) -- Function: int mpc_set_ldc (mpc_t ROP, long double _Complex OP, mpc_rnd_t RND) -- Function: int mpc_set_z (mpc_t ROP, const mpz_t OP mpc_rnd_t RND) -- Function: int mpc_set_q (mpc_t ROP, const mpq_t OP mpc_rnd_t RND) -- Function: int mpc_set_f (mpc_t ROP, const mpf_t OP mpc_rnd_t RND) -- Function: int mpc_set_fr (mpc_t ROP, const mpfr_t OP, mpc_rnd_t RND) Set the value of ROP from OP, rounded to the precision of ROP with the given rounding mode RND. The argument OP is interpreted as real, so the imaginary part of ROP is set to zero with a positive sign. Please note that even a ‘long int’ may have to be rounded, if the destination precision is less than the machine word width. For ‘mpc_set_d’, be careful that the input number OP may not be exactly representable as a double-precision number (this happens for 0.1 for instance), in which case it is first rounded by the C compiler to a double-precision number, and then only to a complex number. -- Function: int mpc_set_ui_ui (mpc_t ROP, unsigned long int OP1, unsigned long int OP2, mpc_rnd_t RND) -- Function: int mpc_set_si_si (mpc_t ROP, long int OP1, long int OP2, mpc_rnd_t RND) -- Function: int mpc_set_uj_uj (mpc_t ROP, uintmax_t OP1, uintmax_t OP2, mpc_rnd_t RND) -- Function: int mpc_set_sj_sj (mpc_t ROP, intmax_t OP1, intmax_t OP2, mpc_rnd_t RND) -- Function: int mpc_set_d_d (mpc_t ROP, double OP1, double OP2, mpc_rnd_t RND) -- Function: int mpc_set_ld_ld (mpc_t ROP, long double OP1, long double OP2, mpc_rnd_t RND) -- Function: int mpc_set_z_z (mpc_t ROP, const mpz_t OP1, const mpz_t OP2, mpc_rnd_t RND) -- Function: int mpc_set_q_q (mpc_t ROP, const mpq_t OP1, const mpq_t OP2, mpc_rnd_t RND) -- Function: int mpc_set_f_f (mpc_t ROP, const mpf_t OP1, const mpf_t OP2, mpc_rnd_t RND) -- Function: int mpc_set_fr_fr (mpc_t ROP, const mpfr_t OP1, const mpfr_t OP2, mpc_rnd_t RND) Set the real part of ROP from OP1, and its imaginary part from OP2, according to the rounding mode RND. Beware that the behaviour of ‘mpc_set_fr_fr’ is undefined if OP1 or OP2 is a pointer to the real or imaginary part of ROP. To exchange the real and the imaginary part of a complex number, either use ‘mpfr_swap (mpc_realref (rop), mpc_imagref (rop))’, which also exchanges the precisions of the two parts; or use a temporary variable. For functions assigning complex variables from strings or input streams, *note String and Stream Input and Output::. -- Function: void mpc_set_nan (mpc_t ROP) Set ROP to Nan+i*NaN. -- Function: void mpc_swap (mpc_t OP1, mpc_t OP2) Swap the values of OP1 and OP2 efficiently. Warning: The precisions are exchanged, too; in case these are different, ‘mpc_swap’ is thus not equivalent to three ‘mpc_set’ calls using a third auxiliary variable.  File: mpc.info, Node: Converting Complex Numbers, Next: String and Stream Input and Output, Prev: Assigning Complex Numbers, Up: Complex Functions 5.3 Conversion Functions ======================== The following functions are available only if ‘’ is included _before_ ‘mpc.h’. -- Function: double _Complex mpc_get_dc (const mpc_t OP, mpc_rnd_t RND) -- Function: long double _Complex mpc_get_ldc (mpc_t OP, mpc_rnd_t RND) Convert OP to a C complex number, using the rounding mode RND. For functions converting complex variables to strings or stream output, *note String and Stream Input and Output::.  File: mpc.info, Node: String and Stream Input and Output, Next: Complex Comparison, Prev: Converting Complex Numbers, Up: Complex Functions 5.4 String and Stream Input and Output ====================================== -- Function: int mpc_strtoc (mpc_t ROP, const char *NPTR, char **ENDPTR, int BASE, mpc_rnd_t RND) Read a complex number from a string NPTR in base BASE, rounded to the precision of ROP with the given rounding mode RND. The BASE must be either 0 or a number from 2 to 36 (otherwise the behaviour is undefined). If NPTR starts with valid data, the result is stored in ROP, the usual inexact value is returned (*note Return Value: return-value.) and, if ENDPTR is not the null pointer, *ENDPTR points to the character just after the valid data. Otherwise, ROP is set to ‘NaN + i * NaN’, -1 is returned and, if ENDPTR is not the null pointer, the value of NPTR is stored in the location referenced by ENDPTR. The expected form of a complex number string is either a real number (an optional leading whitespace, an optional sign followed by a floating-point number), or a pair of real numbers in parentheses separated by whitespace. If a real number is read, the missing imaginary part is set to +0. The form of a floating-point number depends on the base and is described in the documentation of ‘mpfr_strtofr’ (*note (mpfr.info)Assignment Functions::). For instance, ‘"3.1415926"’, ‘"(1.25e+7 +.17)"’, ‘"(@nan@ 2)"’ and ‘"(-0 -7)"’ are valid strings for BASE = 10. If BASE = 0, then a prefix may be used to indicate the base in which the floating-point number is written. Use prefix ’0b’ for binary numbers, prefix ’0x’ for hexadecimal numbers, and no prefix for decimal numbers. The real and imaginary part may then be written in different bases. For instance, ‘"(1.024e+3 +2.05e+3)"’ and ‘"(0b1p+10 +0x802)"’ are valid strings for ‘base’=0 and represent the same value. -- Function: int mpc_set_str (mpc_t ROP, const char *S, int BASE, mpc_rnd_t rnd) Set ROP to the value of the string S in base BASE, rounded to the precision of ROP with the given rounding mode RND. See the documentation of ‘mpc_strtoc’ for a detailed description of the valid string formats. Contrarily to ‘mpc_strtoc’, ‘mpc_set_str’ requires the _whole_ string to represent a valid complex number (potentially followed by additional white space). This function returns the usual inexact value (*note Return Value: return-value.) if the entire string up to the final null character is a valid number in base BASE; otherwise it returns −1, and ROP is set to NaN+i*NaN. -- Function: char * mpc_get_str (int B, size_t N, const mpc_t OP, mpc_rnd_t RND) Convert OP to a string containing its real and imaginary parts, separated by a space and enclosed in a pair of parentheses. The numbers are written in base B (which may vary from 2 to 36) and rounded according to RND. The number of significant digits, at least 2, is given by N. It is also possible to let N be zero, in which case the number of digits is chosen large enough so that re-reading the printed value with the same precision, assuming both output and input use rounding to nearest, will recover the original value of OP. Note that ‘mpc_get_str’ uses the decimal point of the current locale if available, and ‘.’ otherwise. The string is generated using the current memory allocation function (‘malloc’ by default, unless it has been modified using the custom memory allocation interface of ‘gmp’); once it is not needed any more, it should be freed by calling ‘mpc_free_str’. -- Function: void mpc_free_str (char *STR) Free the string STR, which needs to have been allocated by a call to ‘mpc_get_str’. The following two functions read numbers from input streams and write them to output streams. When using any of these functions, you need to include ‘stdio.h’ _before_ ‘mpc.h’. -- Function: int mpc_inp_str (mpc_t ROP, FILE *STREAM, size_t *READ, int BASE, mpc_rnd_t RND) Input a string in base BASE in the same format as for ‘mpc_strtoc’ from stdio stream STREAM, rounded according to RND, and put the read complex number into ROP. If STREAM is the null pointer, ROP is read from ‘stdin’. Return the usual inexact value; if an error occurs, set ROP to ‘NaN + i * NaN’ and return -1. If READ is not the null pointer, it is set to the number of read characters. Unlike ‘mpc_strtoc’, the function ‘mpc_inp_str’ does not possess perfect knowledge of the string to transform and has to read it character by character, so it behaves slightly differently: It tries to read a string describing a complex number and processes this string through a call to ‘mpc_set_str’. Precisely, after skipping optional whitespace, a minimal string is read according to the regular expression ‘mpfr | '(' \s* mpfr \s+ mpfr \s* ')'’, where ‘\s’ denotes a whitespace, and ‘mpfr’ is either a string containing neither whitespaces nor parentheses, or ‘nan(n-char-sequence)’ or ‘@nan@(n-char-sequence)’ (regardless of capitalisation) with ‘n-char-sequence’ a string of ascii letters, digits or ‘'_'’. For instance, upon input of ‘"nan(13 1)"’, the function ‘mpc_inp_str’ starts to recognise a value of NaN followed by an n-char-sequence indicated by the opening parenthesis; as soon as the space is reached, it becomes clear that the expression in parentheses is not an n-char-sequence, and the error flag -1 is returned after 6 characters have been consumed from the stream (the whitespace itself remaining in the stream). The function ‘mpc_strtoc’, on the other hand, may track back when reaching the whitespace; it treats the string as the two successive complex numbers ‘NaN + i * 0’ and ‘13 + i’. It is thus recommended to have a whitespace follow each floating point number to avoid this problem. -- Function: size_t mpc_out_str (FILE *STREAM, int BASE, size_t N_DIGITS, const mpc_t OP, mpc_rnd_t RND) Output OP on stdio stream STREAM in base BASE, rounded according to RND, in the same format as for ‘mpc_strtoc’ If STREAM is the null pointer, ROP is written to ‘stdout’. Return the number of characters written.  File: mpc.info, Node: Complex Comparison, Next: Projection & Decomposing, Prev: String and Stream Input and Output, Up: Complex Functions 5.5 Comparison Functions ======================== -- Function: int mpc_cmp (const mpc_t OP1, const mpc_t OP2) -- Function: int mpc_cmp_si_si (const mpc_t OP1, long int OP2R, long int OP2I) -- Macro: int mpc_cmp_si (mpc_t OP1, long int OP2) Compare OP1 and OP2, where in the case of ‘mpc_cmp_si_si’, OP2 is taken to be OP2R + i OP2I. The return value C can be decomposed into ‘x = MPC_INEX_RE(c)’ and ‘y = MPC_INEX_IM(c)’, such that X is positive if the real part of OP1 is greater than that of OP2, zero if both real parts are equal, and negative if the real part of OP1 is less than that of OP2, and likewise for Y. Both OP1 and OP2 are considered to their full own precision, which may differ. It is not allowed that one of the operands has a NaN (Not-a-Number) part. The storage of the return value is such that equality can be simply checked with ‘mpc_cmp (op1, op2) == 0’. -- Function: int mpc_cmp_abs (const mpc_t OP1, const mpc_t OP2) Compare the absolute values of OP1 and OP2. The return value is 0 if both are the same (including infinity), positive if the absolute value of OP1 is greater than that of OP2, and negative if it is smaller. If OP1 or OP2 has a real or imaginary part which is NaN, the function behaves like ‘mpfr_cmp’ on two real numbers of which at least one is NaN.  File: mpc.info, Node: Projection & Decomposing, Next: Basic Arithmetic, Prev: Complex Comparison, Up: Complex Functions 5.6 Projection and Decomposing Functions ======================================== -- Function: int mpc_real (mpfr_t ROP, const mpc_t OP, mpfr_rnd_t RND) Set ROP to the value of the real part of OP rounded in the direction RND. -- Function: int mpc_imag (mpfr_t ROP, const mpc_t OP, mpfr_rnd_t RND) Set ROP to the value of the imaginary part of OP rounded in the direction RND. -- Macro: mpfr_t mpc_realref (mpc_t OP) -- Macro: mpfr_t mpc_imagref (mpc_t OP) Return a reference to the real part and imaginary part of OP, respectively. The ‘mpfr’ functions can be used on the result of these macros (note that the ‘mpfr_t’ type is itself a pointer). -- Function: int mpc_arg (mpfr_t ROP, const mpc_t OP, mpfr_rnd_t RND) Set ROP to the argument of OP, with a branch cut along the negative real axis. -- Function: int mpc_proj (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Compute a projection of OP onto the Riemann sphere. Set ROP to OP rounded in the direction RND, except when at least one part of OP is infinite (even if the other part is a NaN) in which case the real part of ROP is set to plus infinity and its imaginary part to a signed zero with the same sign as the imaginary part of OP.  File: mpc.info, Node: Basic Arithmetic, Next: Power Functions and Logarithm, Prev: Projection & Decomposing, Up: Complex Functions 5.7 Basic Arithmetic Functions ============================== All the following functions are designed in such a way that, when working with real numbers instead of complex numbers, their complexity should essentially be the same as with the GNU MPFR library, with only a marginal overhead due to the GNU MPC layer. For functions taking as input an integer argument (for example ‘mpc_add_ui’), when this argument is zero, it is considered as an unsigned (that is, exact in this context) zero, and we follow the MPFR conventions: (0) + (+0) = +0, (0) - (+0) = -0, (0) - (+0) = -0, (0) - (-0) = +0. The same applies for functions taking an argument of type ‘mpfr_t’, such as ‘mpc_add_fr’, of which the imaginary part is considered to be an exact, unsigned zero. -- Function: int mpc_add (mpc_t ROP, const mpc_t OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_add_ui (mpc_t ROP, const mpc_t OP1, unsigned long int OP2, mpc_rnd_t RND) -- Function: int mpc_add_fr (mpc_t ROP, const mpc_t OP1, const mpfr_t OP2, mpc_rnd_t RND) Set ROP to OP1 + OP2 rounded according to RND. -- Function: int mpc_sub (mpc_t ROP, const mpc_t OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_sub_fr (mpc_t ROP, const mpc_t OP1, const mpfr_t OP2, mpc_rnd_t RND) -- Function: int mpc_fr_sub (mpc_t ROP, const mpfr_t OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_sub_ui (mpc_t ROP, const mpc_t OP1, unsigned long int OP2, mpc_rnd_t RND) -- Macro: int mpc_ui_sub (mpc_t ROP, unsigned long int OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_ui_ui_sub (mpc_t ROP, unsigned long int RE1, unsigned long int IM1, mpc_t OP2, mpc_rnd_t RND) Set ROP to OP1 − OP2 rounded according to RND. For ‘mpc_ui_ui_sub’, OP1 is RE1 + IM1. -- Function: int mpc_neg (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to −OP rounded according to RND. Just changes the sign if ROP and OP are the same variable. -- Function: int mpc_sum (mpc_t ROP, const mpc_ptr* OP, unsigned long N, mpc_rnd_t RND) Set ROP to the sum of the elements in the array OP of length N, rounded according to RND. -- Function: int mpc_mul (mpc_t ROP, const mpc_t OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_mul_ui (mpc_t ROP, const mpc_t OP1, unsigned long int OP2, mpc_rnd_t RND) -- Function: int mpc_mul_si (mpc_t ROP, const mpc_t OP1, long int OP2, mpc_rnd_t RND) -- Function: int mpc_mul_fr (mpc_t ROP, const mpc_t OP1, const mpfr_t OP2, mpc_rnd_t RND) Set ROP to OP1 times OP2 rounded according to RND. Note: for ‘mpc_mul’, in case OP1 and OP2 have the same value, use ‘mpc_sqr’ for better efficiency. -- Function: int mpc_mul_i (mpc_t ROP, const mpc_t OP, int SGN, mpc_rnd_t RND) Set ROP to OP times the imaginary unit i if SGN is non-negative, set ROP to OP times -i otherwise, in both cases rounded according to RND. -- Function: int mpc_sqr (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the square of OP rounded according to RND. -- Function: int mpc_fma (mpc_t ROP, const mpc_t OP1, const mpc_t OP2, const mpc_t OP3, mpc_rnd_t RND) Set ROP to OP1*OP2+OP3, rounded according to RND, with only one final rounding. -- Function: int mpc_dot (mpc_t ROP, const mpc_ptr* OP1, mpc_ptr* OP2, unsigned long N, mpc_rnd_t RND) Set ROP to the dot product of the elements in the arrays OP1 and OP2, both of length N, rounded according to RND. -- Function: int mpc_div (mpc_t ROP, const mpc_t OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_div_ui (mpc_t ROP, const mpc_t OP1, unsigned long int OP2, mpc_rnd_t RND) -- Function: int mpc_div_fr (mpc_t ROP, const mpc_t OP1, const mpfr_t OP2, mpc_rnd_t RND) -- Function: int mpc_ui_div (mpc_t ROP, unsigned long int OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_fr_div (mpc_t ROP, const mpfr_t OP1, const mpc_t OP2, mpc_rnd_t RND) Set ROP to OP1/OP2 rounded according to RND. -- Function: int mpc_conj (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the conjugate of OP rounded according to RND. Just changes the sign of the imaginary part if ROP and OP are the same variable. -- Function: int mpc_abs (mpfr_t ROP, const mpc_t OP, mpfr_rnd_t RND) Set the floating-point number ROP to the absolute value of OP, rounded in the direction RND. -- Function: int mpc_norm (mpfr_t ROP, const mpc_t OP, mpfr_rnd_t RND) Set the floating-point number ROP to the norm of OP (i.e., the square of its absolute value), rounded in the direction RND. -- Function: int mpc_mul_2ui (mpc_t ROP, const mpc_t OP1, unsigned long int OP2, mpc_rnd_t RND) -- Function: int mpc_mul_2si (mpc_t ROP, const mpc_t OP1, long int OP2, mpc_rnd_t RND) Set ROP to OP1 times 2 raised to OP2 rounded according to RND. Just modifies the exponents of the real and imaginary parts by OP2 when ROP and OP1 are identical. -- Function: int mpc_div_2ui (mpc_t ROP, const mpc_t OP1, unsigned long int OP2, mpc_rnd_t RND) -- Function: int mpc_div_2si (mpc_t ROP, const mpc_t OP1, long int OP2, mpc_rnd_t RND) Set ROP to OP1 divided by 2 raised to OP2 rounded according to RND. Just modifies the exponents of the real and imaginary parts by OP2 when ROP and OP1 are identical.  File: mpc.info, Node: Power Functions and Logarithm, Next: Trigonometric Functions, Prev: Basic Arithmetic, Up: Complex Functions 5.8 Power Functions and Logarithm ================================= -- Function: int mpc_sqrt (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the square root of OP rounded according to RND. The returned value ROP has a non-negative real part, and if its real part is zero, a non-negative imaginary part. -- Function: int mpc_pow (mpc_t ROP, const mpc_t OP1, const mpc_t OP2, mpc_rnd_t RND) -- Function: int mpc_pow_d (mpc_t ROP, const mpc_t OP1, double OP2, mpc_rnd_t RND) -- Function: int mpc_pow_ld (mpc_t ROP, const mpc_t OP1, long double OP2, mpc_rnd_t RND) -- Function: int mpc_pow_si (mpc_t ROP, const mpc_t OP1, long OP2, mpc_rnd_t RND) -- Function: int mpc_pow_ui (mpc_t ROP, const mpc_t OP1, unsigned long OP2, mpc_rnd_t RND) -- Function: int mpc_pow_z (mpc_t ROP, const mpc_t OP1, const mpz_t OP2, mpc_rnd_t RND) -- Function: int mpc_pow_fr (mpc_t ROP, const mpc_t OP1, const mpfr_t OP2, mpc_rnd_t RND) Set ROP to OP1 raised to the power OP2, rounded according to RND. For ‘mpc_pow_d’, ‘mpc_pow_ld’, ‘mpc_pow_si’, ‘mpc_pow_ui’, ‘mpc_pow_z’ and ‘mpc_pow_fr’, the imaginary part of OP2 is considered as +0. When both OP1 and OP2 are zero, the result has real part 1, and imaginary part 0, with sign being the opposite of that of OP2. -- Function: int mpc_exp (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the exponential of OP, rounded according to RND with the precision of ROP. -- Function: int mpc_log (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_log10 (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the natural and base-10 logarithm of OP respectively, rounded according to RND with the precision of ROP. The principal branch is chosen, with the branch cut on the negative real axis, so that the imaginary part of the result lies in ]-Pi , Pi] and ]-Pi/log(10) , Pi/log(10)] respectively. -- Function: int mpc_rootofunity (mpc_t ROP, unsigned long int N, unsigned long int K, mpc_rnd_t RND) Set ROP to the standard primitive N-th root of unity raised to the power K, that is, exp (2 Pi i k / n), rounded according to RND with the precision of ROP. -- Function: int mpc_agm (mpc_t ROP, const mpc_t A, const mpc_t B, mpc_rnd_t RND) Set ROP to the arithmetic-geometric mean (AGM) of A and B, rounded according to RND with the precision of ROP. Concerning the branch cut, the function is computed by homogeneity either as A AGM(1,b0) with b0=B/A if |A|>=|B|, or as B AGM(1,b0) with b0=A/B otherwise; then when b0 is real and negative, AGM(1,b0) is chosen to have positive imaginary part.  File: mpc.info, Node: Trigonometric Functions, Next: Modular Functions, Prev: Power Functions and Logarithm, Up: Complex Functions 5.9 Trigonometric Functions =========================== -- Function: int mpc_sin (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_cos (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_tan (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the sine, cosine, tangent of OP, rounded according to RND with the precision of ROP. -- Function: int mpc_sin_cos (mpc_t ROP_SIN, mpc_t ROP_COS, const mpc_t OP, mpc_rnd_t RND_SIN, mpc_rnd_t RND_COS) Set ROP_SIN to the sine of OP, rounded according to RND_SIN with the precision of ROP_SIN, and ROP_COS to the cosine of OP, rounded according to RND_COS with the precision of ROP_COS. -- Function: int mpc_sinh (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_cosh (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_tanh (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the hyperbolic sine, hyperbolic cosine, hyperbolic tangent of OP, rounded according to RND with the precision of ROP. -- Function: int mpc_asin (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_acos (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_atan (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the inverse sine, inverse cosine, inverse tangent of OP, rounded according to RND with the precision of ROP. -- Function: int mpc_asinh (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_acosh (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) -- Function: int mpc_atanh (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Set ROP to the inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent of OP, rounded according to RND with the precision of ROP. The branch cut of ‘mpc_acosh’ is (-Inf, 1)  File: mpc.info, Node: Modular Functions, Next: Miscellaneous Complex Functions, Prev: Trigonometric Functions, Up: Complex Functions 5.10 Modular Functions ====================== The following function is experimental, not least because it depends on the equally experimental ball arithmetic, see *note Ball Arithmetic::. So its prototype may change in future releases, and it may be removed altogether. -- Function: int mpc_eta_fund (mpc_t ROP, const mpc_t OP, mpc_rnd_t RND) Assuming that the argument OP lies in the fundamental domain for Sl_2(Z), that is, it has real part not below -1/2 and not above +1/2 and absolute value at least 1, return the value of the Dedekind eta-function in ROP. For arguments outside the fundamental domain the function is expected to loop indefinitely.  File: mpc.info, Node: Miscellaneous Complex Functions, Next: Advanced Functions, Prev: Modular Functions, Up: Complex Functions 5.11 Miscellaneous Functions ============================ -- Function: int mpc_urandom (mpc_t ROP, gmp_randstate_t STATE) Generate a uniformly distributed random complex in the unit square [0, 1] x [0, 1]. Return 0, unless an exponent in the real or imaginary part is not in the current exponent range, in which case that part is set to NaN and a zero value is returned. The second argument is a ‘gmp_randstate_t’ structure which should be created using the GMP ‘rand_init’ function, see the GMP manual. -- Function: const char * mpc_get_version (void) Return the GNU MPC version, as a null-terminated string. -- Macro: MPC_VERSION -- Macro: MPC_VERSION_MAJOR -- Macro: MPC_VERSION_MINOR -- Macro: MPC_VERSION_PATCHLEVEL -- Macro: MPC_VERSION_STRING ‘MPC_VERSION’ is the version of GNU MPC as a preprocessing constant. ‘MPC_VERSION_MAJOR’, ‘MPC_VERSION_MINOR’ and ‘MPC_VERSION_PATCHLEVEL’ are respectively the major, minor and patch level of GNU MPC version, as preprocessing constants. ‘MPC_VERSION_STRING’ is the version as a string constant, which can be compared to the result of ‘mpc_get_version’ to check at run time the header file and library used match: if (strcmp (mpc_get_version (), MPC_VERSION_STRING)) fprintf (stderr, "Warning: header and library do not match\n"); Note: Obtaining different strings is not necessarily an error, as in general, a program compiled with some old GNU MPC version can be dynamically linked with a newer GNU MPC library version (if allowed by the library versioning system). -- Macro: long MPC_VERSION_NUM (MAJOR, MINOR, PATCHLEVEL) Create an integer in the same format as used by ‘MPC_VERSION’ from the given MAJOR, MINOR and PATCHLEVEL. Here is an example of how to check the GNU MPC version at compile time: #if (!defined(MPC_VERSION) || (MPC_VERSION. • Guillaume Hanrot, Vincent Lefèvre, Patrick Pélissier, Paul Zimmermann et al. ‘MPFR’ – A library for multiple-precision floating-point computations with exact rounding. Version 4.1.0, . • IEEE Standard for Floating-Point Arithmetic, IEEE Computer Society, IEEE Std 754-2019, Approved 13 June 2019, 84 pages. • Donald E. Knuth, "The Art of Computer Programming", vol 2, "Seminumerical Algorithms", 2nd edition, Addison-Wesley, 1981. • ISO/IEC 9899:1999, Programming languages — C.  File: mpc.info, Node: Concept Index, Next: Function Index, Prev: References, Up: Top Concept Index ************* [index] * Menu: * Arithmetic functions: Basic Arithmetic. (line 6) * Ball arithmetic: Ball Arithmetic. (line 6) * Comparison functions: Complex Comparison. (line 6) * Complex arithmetic functions: Basic Arithmetic. (line 6) * Complex assignment functions: Assigning Complex Numbers. (line 6) * Complex comparisons functions: Complex Comparison. (line 6) * Complex functions: Complex Functions. (line 6) * Complex number: GNU MPC Basics. (line 15) * Conditions for copying GNU MPC: Copying. (line 6) * Conversion functions: Converting Complex Numbers. (line 6) * Copying conditions: Copying. (line 6) * Installation: Installing GNU MPC. (line 6) * Logarithm: Power Functions and Logarithm. (line 6) * Miscellaneous complex functions: Miscellaneous Complex Functions. (line 6) * Modular functions: Modular Functions. (line 6) * mpc.h: GNU MPC Basics. (line 6) * Power functions: Power Functions and Logarithm. (line 6) * Precision: GNU MPC Basics. (line 19) * Projection and Decomposing Functions: Projection & Decomposing. (line 6) * Reporting bugs: Reporting Bugs. (line 6) * Rounding Mode: GNU MPC Basics. (line 24) * String and stream input and output: String and Stream Input and Output. (line 6) * Trigonometric functions: Trigonometric Functions. (line 6) * User-defined precision: Complex Functions. (line 12)  File: mpc.info, Node: Function Index, Next: Type Index, Prev: Concept Index, Up: Top Function Index ************** [index] * Menu: * _Complex: Converting Complex Numbers. (line 9) * mpcb_add: Ball Arithmetic. (line 260) * mpcb_can_round: Ball Arithmetic. (line 273) * mpcb_clear: Ball Arithmetic. (line 194) * mpcb_div: Ball Arithmetic. (line 266) * mpcb_div_2ui: Ball Arithmetic. (line 267) * mpcb_get_prec: Ball Arithmetic. (line 201) * mpcb_init: Ball Arithmetic. (line 193) * mpcb_mul: Ball Arithmetic. (line 261) * mpcb_neg: Ball Arithmetic. (line 259) * mpcb_pow_ui: Ball Arithmetic. (line 263) * mpcb_round: Ball Arithmetic. (line 309) * mpcb_set: Ball Arithmetic. (line 205) * mpcb_set_c: Ball Arithmetic. (line 214) * mpcb_set_inf: Ball Arithmetic. (line 208) * mpcb_set_ui_ui: Ball Arithmetic. (line 254) * mpcb_sqr: Ball Arithmetic. (line 262) * mpcb_sqrt: Ball Arithmetic. (line 265) * mpcr_add: Ball Arithmetic. (line 93) * mpcr_add_rounding_error: Ball Arithmetic. (line 125) * mpcr_cmp: Ball Arithmetic. (line 64) * mpcr_c_abs_rnd: Ball Arithmetic. (line 120) * mpcr_div: Ball Arithmetic. (line 96) * mpcr_div_2ui: Ball Arithmetic. (line 99) * mpcr_get_exp: Ball Arithmetic. (line 81) * mpcr_inf_p: Ball Arithmetic. (line 55) * mpcr_lt_half_p: Ball Arithmetic. (line 60) * mpcr_max: Ball Arithmetic. (line 78) * mpcr_mul: Ball Arithmetic. (line 95) * mpcr_mul_2ui: Ball Arithmetic. (line 97) * mpcr_out_str: Ball Arithmetic. (line 88) * mpcr_set: Ball Arithmetic. (line 73) * mpcr_set_inf: Ball Arithmetic. (line 70) * mpcr_set_one: Ball Arithmetic. (line 72) * mpcr_set_ui64_2si64: Ball Arithmetic. (line 74) * mpcr_set_zero: Ball Arithmetic. (line 71) * mpcr_sqr: Ball Arithmetic. (line 101) * mpcr_sqrt: Ball Arithmetic. (line 102) * mpcr_sub: Ball Arithmetic. (line 94) * mpcr_sub_rnd: Ball Arithmetic. (line 108) * mpcr_zero_p: Ball Arithmetic. (line 56) * mpc_abs: Basic Arithmetic. (line 99) * mpc_acos: Trigonometric Functions. (line 25) * mpc_acosh: Trigonometric Functions. (line 31) * mpc_add: Basic Arithmetic. (line 19) * mpc_add_fr: Basic Arithmetic. (line 23) * mpc_add_ui: Basic Arithmetic. (line 21) * mpc_agm: Power Functions and Logarithm. (line 50) * mpc_arg: Projection & Decomposing. (line 20) * mpc_asin: Trigonometric Functions. (line 24) * mpc_asinh: Trigonometric Functions. (line 30) * mpc_atan: Trigonometric Functions. (line 26) * mpc_atanh: Trigonometric Functions. (line 32) * mpc_clear: Initializing Complex Numbers. (line 21) * mpc_cmp: Complex Comparison. (line 6) * mpc_cmp_abs: Complex Comparison. (line 23) * mpc_cmp_si: Complex Comparison. (line 9) * mpc_cmp_si_si: Complex Comparison. (line 7) * mpc_conj: Basic Arithmetic. (line 94) * mpc_cos: Trigonometric Functions. (line 7) * mpc_cosh: Trigonometric Functions. (line 19) * mpc_div: Basic Arithmetic. (line 82) * mpc_div_2si: Basic Arithmetic. (line 117) * mpc_div_2ui: Basic Arithmetic. (line 115) * mpc_div_fr: Basic Arithmetic. (line 86) * mpc_div_ui: Basic Arithmetic. (line 84) * mpc_dot: Basic Arithmetic. (line 77) * mpc_eta_fund: Modular Functions. (line 11) * mpc_exp: Power Functions and Logarithm. (line 32) * mpc_fma: Basic Arithmetic. (line 72) * mpc_free_str: String and Stream Input and Output. (line 66) * mpc_fr_div: Basic Arithmetic. (line 90) * mpc_fr_sub: Basic Arithmetic. (line 31) * mpc_get_ldc: Converting Complex Numbers. (line 10) * mpc_get_prec: Initializing Complex Numbers. (line 49) * mpc_get_prec2: Initializing Complex Numbers. (line 53) * mpc_get_str: String and Stream Input and Output. (line 48) * mpc_get_version: Miscellaneous Complex Functions. (line 14) * mpc_imag: Projection & Decomposing. (line 10) * mpc_imagref: Projection & Decomposing. (line 15) * mpc_init2: Initializing Complex Numbers. (line 10) * mpc_init3: Initializing Complex Numbers. (line 15) * mpc_inp_str: String and Stream Input and Output. (line 74) * mpc_log: Power Functions and Logarithm. (line 36) * mpc_log10: Power Functions and Logarithm. (line 37) * mpc_mul: Basic Arithmetic. (line 51) * mpc_mul_2si: Basic Arithmetic. (line 109) * mpc_mul_2ui: Basic Arithmetic. (line 107) * mpc_mul_fr: Basic Arithmetic. (line 57) * mpc_mul_i: Basic Arithmetic. (line 63) * mpc_mul_si: Basic Arithmetic. (line 55) * mpc_mul_ui: Basic Arithmetic. (line 53) * mpc_neg: Basic Arithmetic. (line 42) * mpc_norm: Basic Arithmetic. (line 103) * mpc_out_str: String and Stream Input and Output. (line 109) * mpc_pow: Power Functions and Logarithm. (line 11) * mpc_pow_d: Power Functions and Logarithm. (line 13) * mpc_pow_fr: Power Functions and Logarithm. (line 23) * mpc_pow_ld: Power Functions and Logarithm. (line 15) * mpc_pow_si: Power Functions and Logarithm. (line 17) * mpc_pow_ui: Power Functions and Logarithm. (line 19) * mpc_pow_z: Power Functions and Logarithm. (line 21) * mpc_proj: Projection & Decomposing. (line 24) * mpc_real: Projection & Decomposing. (line 6) * mpc_realref: Projection & Decomposing. (line 14) * mpc_rootofunity: Power Functions and Logarithm. (line 44) * mpc_set: Assigning Complex Numbers. (line 16) * mpc_set_d: Assigning Complex Numbers. (line 25) * mpc_set_dc: Assigning Complex Numbers. (line 27) * mpc_set_d_d: Assigning Complex Numbers. (line 54) * mpc_set_f: Assigning Complex Numbers. (line 33) * mpc_set_fr: Assigning Complex Numbers. (line 34) * mpc_set_fr_fr: Assigning Complex Numbers. (line 64) * mpc_set_f_f: Assigning Complex Numbers. (line 62) * mpc_set_ld: Assigning Complex Numbers. (line 26) * mpc_set_ldc: Assigning Complex Numbers. (line 29) * mpc_set_ld_ld: Assigning Complex Numbers. (line 56) * mpc_set_nan: Assigning Complex Numbers. (line 79) * mpc_set_prec: Initializing Complex Numbers. (line 41) * mpc_set_q: Assigning Complex Numbers. (line 32) * mpc_set_q_q: Assigning Complex Numbers. (line 60) * mpc_set_si: Assigning Complex Numbers. (line 22) * mpc_set_si_si: Assigning Complex Numbers. (line 48) * mpc_set_sj: Assigning Complex Numbers. (line 24) * mpc_set_sj_sj: Assigning Complex Numbers. (line 52) * mpc_set_str: String and Stream Input and Output. (line 35) * mpc_set_ui: Assigning Complex Numbers. (line 20) * mpc_set_ui_ui: Assigning Complex Numbers. (line 46) * mpc_set_uj: Assigning Complex Numbers. (line 23) * mpc_set_uj_uj: Assigning Complex Numbers. (line 50) * MPC_SET_X_Y: Advanced Functions. (line 6) * mpc_set_z: Assigning Complex Numbers. (line 31) * mpc_set_z_z: Assigning Complex Numbers. (line 58) * mpc_sin: Trigonometric Functions. (line 6) * mpc_sinh: Trigonometric Functions. (line 18) * mpc_sin_cos: Trigonometric Functions. (line 12) * mpc_sqr: Basic Arithmetic. (line 69) * mpc_sqrt: Power Functions and Logarithm. (line 6) * mpc_strtoc: String and Stream Input and Output. (line 6) * mpc_sub: Basic Arithmetic. (line 27) * mpc_sub_fr: Basic Arithmetic. (line 29) * mpc_sub_ui: Basic Arithmetic. (line 33) * mpc_sum: Basic Arithmetic. (line 46) * mpc_swap: Assigning Complex Numbers. (line 82) * mpc_tan: Trigonometric Functions. (line 8) * mpc_tanh: Trigonometric Functions. (line 20) * mpc_ui_div: Basic Arithmetic. (line 88) * mpc_ui_sub: Basic Arithmetic. (line 35) * mpc_ui_ui_sub: Basic Arithmetic. (line 37) * mpc_urandom: Miscellaneous Complex Functions. (line 6) * MPC_VERSION: Miscellaneous Complex Functions. (line 17) * MPC_VERSION_MAJOR: Miscellaneous Complex Functions. (line 18) * MPC_VERSION_MINOR: Miscellaneous Complex Functions. (line 19) * MPC_VERSION_NUM: Miscellaneous Complex Functions. (line 36) * MPC_VERSION_PATCHLEVEL: Miscellaneous Complex Functions. (line 20) * MPC_VERSION_STRING: Miscellaneous Complex Functions. (line 21)  File: mpc.info, Node: Type Index, Next: GNU Free Documentation License, Prev: Function Index, Up: Top Type Index ********** [index] * Menu: * mpcb_ptr: Ball Arithmetic. (line 140) * mpcb_srcptr: Ball Arithmetic. (line 140) * mpcb_t: Ball Arithmetic. (line 11) * mpcb_t <1>: Ball Arithmetic. (line 140) * mpcr_ptr: Ball Arithmetic. (line 28) * mpcr_srcptr: Ball Arithmetic. (line 28) * mpcr_t: Ball Arithmetic. (line 28) * mpc_ptr: GNU MPC Basics. (line 15) * mpc_rnd_t: GNU MPC Basics. (line 24) * mpc_srcptr: GNU MPC Basics. (line 15) * mpc_t: GNU MPC Basics. (line 15) * mpfr_prec_t: GNU MPC Basics. (line 19)  File: mpc.info, Node: GNU Free Documentation License, Prev: Type Index, Up: Top Appendix A GNU Free Documentation License ***************************************** Version 1.3, 3 November 2008 Copyright © 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. 0. PREAMBLE The purpose of this License is to make a manual, textbook, or other functional and useful document “free” in the sense of freedom: to assure everyone the effective freedom to copy and redistribute it, with or without modifying it, either commercially or noncommercially. Secondarily, this License preserves for the author and publisher a way to get credit for their work, while not being considered responsible for modifications made by others. This License is a kind of “copyleft”, which means that derivative works of the document must themselves be free in the same sense. It complements the GNU General Public License, which is a copyleft license designed for free software. We have designed this License in order to use it for manuals for free software, because free software needs free documentation: a free program should come with manuals providing the same freedoms that the software does. 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The operator of an MMC Site may republish an MMC contained in the site under CC-BY-SA on the same site at any time before August 1, 2009, provided the MMC is eligible for relicensing. ADDENDUM: How to use this License for your documents ==================================================== To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page: Copyright (C) YEAR YOUR NAME. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled ``GNU Free Documentation License''. If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the “with...Texts.” line with this: with the Invariant Sections being LIST THEIR TITLES, with the Front-Cover Texts being LIST, and with the Back-Cover Texts being LIST. If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation. If your document contains nontrivial examples of program code, we recommend releasing these examples in parallel under your choice of free software license, such as the GNU General Public License, to permit their use in free software.  Tag Table: Node: Top769 Node: Copying1550 Node: Introduction to GNU MPC2322 Node: Installing GNU MPC3041 Node: Reporting Bugs8342 Node: GNU MPC Basics9689 Ref: return-value13571 Node: Complex Functions15058 Node: Initializing Complex Numbers16257 Node: Assigning Complex Numbers18684 Node: Converting Complex Numbers23230 Node: String and Stream Input and Output23869 Node: Complex Comparison30607 Node: Projection & Decomposing32170 Node: Basic Arithmetic33579 Node: Power Functions and Logarithm39308 Node: Trigonometric Functions42244 Node: Modular Functions44199 Node: Miscellaneous Complex Functions45034 Node: Advanced Functions47240 Node: Internals48338 Node: Ball Arithmetic48797 Node: References66134 Node: Concept Index66931 Node: Function Index69391 Node: Type Index86438 Node: GNU Free Documentation License87468  End Tag Table  Local Variables: coding: utf-8 End: mpc-1.3.1/COPYING.LESSER0000644000175100017460000001674312426164730011271 00000000000000 GNU LESSER GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. 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If the Library as you received it specifies that a proxy can decide whether future versions of the GNU Lesser General Public License shall apply, that proxy's public statement of acceptance of any version is permanent authorization for you to choose that version for the Library. mpc-1.3.1/NEWS0000644000175100017460000002200314345603441007722 00000000000000Changes in version 1.3.1, released in December 2022: - Bug fix: It is again possible to include mpc.h without including stdio.h. Changes in version 1.3.0 ("Ipomoea batatas"), released in December 2022: - New function: mpc_agm - New rounding modes "away from zero", indicated by the letter "A" and corresponding to MPFR_RNDA on the designated real or imaginary part. - New experimental ball arithmetic. - New experimental function: mpc_eta_fund - Bug fixes: - mpc_asin for asin(z) with small |Re(z)| and tiny |Im(z)| - mpc_pow_fr: sign of zero part of result when the base has up to sign the same real and imaginary part, and the exponent is an even positive integer - mpc_fma: the returned 'int' value was incorrect in some cases (indicating whether the rounded real/imaginary parts were smaller/equal/greater than the exact values), but the computed complex value was correct. - Remove the unmaintained Makefile.vc; build files for Visual Studio can be found at https://github.com/BrianGladman/mpc . Changes in version 1.2.1, released in October 2020: - Bug fixes: - Fix an incompatibility problem with GMP 6.0 and before. - Fix an intermediate overflow in asin. Changes in version 1.2.0 ("Hyacinthus orientalis"), released in August 2020: - Minimally required library version: MPFR 4.1.0 - New functions: mpc_sum, mpc_dot - Several functions are more robust with a reduced exponent range (for example corresponding to IEEE 754 binary formats) - New tool mpcheck. Changes in version 1.1.0 ("Gladiolus palustris"), released in January 2018: - Minimally required library versions: GMP 5.0.0 and MPFR 3.0.0 - Fixed issues with MPFR 4.0.0 - New functions: mpc_cmp_abs, mpc_rootofunity - Improved speed for corner cases of mpc_asin, mpc_sin, see https://sympa.inria.fr/sympa/arc/mpc-discuss/2013-12/msg00001.html - Rewrite of the testing framework - New mpcbench tool, used with "make bench" - Fixed handling of over- and underflows with directed rounding in the "other direction" for mpc_cos, mpc_sin, mpc_exp and mpc_pow, see https://sympa.inria.fr/sympa/arc/mpc-discuss/2015-03/msg00003.html - Fixed a bug in mpc_atan(0,y) with |y| near 1, see https://sympa.inria.fr/sympa/arc/mpc-discuss/2017-03/msg00000.html Changes in version 1.0.3, released in February 2015: - Fixed mpc_pow, see https://sympa.inria.fr/sympa/arc/mpc-discuss/2014-10/msg00005.html - #18257: Switched to libtool 2.4.5. Changes in version 1.0.2, released in January 2014: - Fixed mpc_atan, mpc_atanh for (+-0, +-1), see http://gcc.gnu.org/bugzilla/show_bug.cgi?id=57994#c7 - Fixed mpc_log10 for purely imaginary argument, see https://sympa.inria.fr/sympa/arc/mpc-discuss/2012-09/msg00001.html Changes in version 1.0.1, released in September 2012: - Switched to automake 1.11.6, see https://lists.gnu.org/archive/html/automake/2012-07/msg00023.html - #14669: Fixed extraction of CC from gmp.h - Fixed case of intermediate zero real or imaginary part in mpc_fma, found by hydra with GMP_CHECK_RANDOMIZE=1346362345 Changes in version 1.0 ("Fagus silvatica"), released in July 2012: - First release as a GNU package - License change: LGPLv3+ for code, GFDLv1.3+ (with no invariant sections) for documentation - 100% of all lines are covered by tests - Functions renamed: mpc_mul_2exp to mpc_mul_2ui, mpc_div_2exp to mpc_div_2ui - 0^0, which returned (NaN,NaN) previously, now returns (1,+0) - Removed compatibility with K&R compilers, untestable due to lack of such compilers - New functions: mpc_log10, mpc_mul_2si, mpc_div_2si - Speed-ups: - mpc_fma - Bug fixes: - mpc_div and mpc_norm now return a value indicating the effective rounding direction, as the other functions - mpc_mul, mpc_sqr and mpc_norm now return correct results even if there are over- or underflows during the computation - mpc_asin, mpc_proj, mpc_sqr: Wrong result when input variable has infinite part and equals output variable is corrected - mpc_fr_sub: Wrong return value for imaginary part is corrected Changes in version 0.9 ("Epilobium montanum"), released in February 2011: - New functions: - mpc_set_dc, mpc_set_ldc, mpc_get_dc, mpc_get_ldc for converting between mpc type variables and C variables of type double _Complex or long double _Complex - mpc_sin_cos, computing simultaneously the sine and cosine - Speed-ups: - mpc_pow_si through binary exponentiation - mpc_pow_z when the exponent fits in a long - mpc_tan through the use of mpc_sin_cos - Bug fixes: - trigonometric functions: infinite loop due to overflow for large arguments - mpc_exp: close to infinite loop for argument close to 0 - mpc_sqrt: close to infinite loop for argument close to 1 - mpc_add_si: replaced macro by function, since the macro evaluated the same expression twice - Logging feature for debugging: ./configure --enable-logging #include "mpc-log.h" instead of #include "mpc.h" - Minimally required library versions: gmp 4.3.2, mpfr 2.4.2 Changes in version 0.8.2, released in May 2010: - Speed-up of mpc_pow_ui through binary exponentiation Changes in version 0.8.1, released in December 2009: - Bug fixes: - mpc_acosh, mpc_asinh, mpc_atanh: swap of precisions between real and imaginary parts - mpc_atan: memory leak - mpc_log: wrong ternary value in data file; masked by bug in mpfr-2.4.1 Changes in version 0.8 ("Dianthus deltoides"), released in November 2009: - New functions: - mpc_asin, mpc_acos, mpc_atan, mpc_asinh, mpc_acosh, mpc_atanh, mpc_pow_d, mpc_pow_ld, mpc_pow_si, mpc_pow_ui, mpc_pow_z, mpc_pow_fr - Bug fixes: - mpc_ui_div: real divisor Changes in version 0.7 ("Campanula uniflora"), released in September 2009: - New functions: mpc_pow, mpc_set_nan, mpc_swap - Bug fixes: - mpc_log: along branch cut - mpc_norm: infinite loop in case of overflow - mpc_ui_div, mpc_div, mpc_fr_div: handling of division by 0 and infinities following the example code of the C99 standard - compilation with g++ - Makefile.vc updated (thanks to Mickael Gastineau) - Minimal gmp version is 4.2 - Changed MPC_SET_X_Y macro - Functions mpc_random and mpc_random2 removed Changes in version 0.6 ("Bellis perennis"), released in April 2009: - New functions: mpc_get_str, mpc_set_str, mpc_strtoc, mpc_set_uj, mpc_set_sj, mpc_set_ld, mpc_set_ld_ld, mpc_set_si_si, mpc_set_uj_uj, mpc_set_sj_sj, mpc_set_f, mpc_set_f_f, mpc_set_q, mpc_set_q_q, mpc_set_z, mpc_set_z_z and mpc_free_str - New macro: MPC_SET_X_Y - mpc_set_ui_fr removed - Default precision removed, as well as mpc_init and all mpc_init_set* combinations; use mpc_init2 or mpc_init3, followed by mpc_set, instead - mpc_exp, mpc_log, mpc_cos, mpc_sin, mpc_tan, mpc_cosh, mpc_sinh, mpc_tanh and mpc_sqrt return inexact value - inp_str returns inexact value and the number of read characters in an additional parameter - Get default $CC and $CFLAGS from gmp.h (__GMP_CC / __GMP_CFLAGS, which are available as of GMP 4.2.3) - Bug fixes: - mpc_get_version and MPC_VERSION_STRING agree - Compilation on i686-pc-cygwin and i686-pc-mingw32 fixed Changes in version 0.5.2, released in December 2008: - New macros: - version number: MPC_VERSION_NUM, MPC_VERSION - Makefile.vc updated (thanks to Mickael Gastineau) - Compilation on Debian-Gnu-Linux-PowerPC and MacOsX fixed (thanks to Laurent Fousse and Mickael Gastineau) Changes in version 0.5.1, released in November 2008: - New functions: - mpc_set_fr_fr - mpc_real, mpc_imag - mpc_arg, mpc_proj - New macros: - version number: MPC_VERSION_MAJOR, MPC_VERSION_MINOR, MPC_VERSION_PATCHLEVEL, MPC_VERSION_STRING - references to number parts: mpc_realref and mpc_imagref - Test framework rewritten - Configure checks for recent gmp (>= 4.2) and mpfr (>= 2.3.1) libraries - New configure options: --with-gmp-lib, --with-gmp-include, --with-mpfr-lib, and --with-mpfr-include - Export declarations for MSWindows, makefile.vc updated (thanks to Mickael Gastineau) - Optimisations: - cmp_mul_fr, cmp_sin, cmp_cos - Bug fixes: - configure looks for gmp first, then for mpfr - mpc_cos, mpc_div, mpc_div_fr, mpc_fr_sub, mpc_mul_fr, mpc_set_fr, mpc_sqr - fix handling of special values: mpc_exp, mpc_log, mpc_mul, mpc_norm, mpc_sqr, mpc_sqrt Changes in version 0.5 ("Aconitum neomontanum"), released in September 2008: - Support for autotools - New functions: - logarithm - trigonometric functions: mpc_cos, mpc_tan - hyperbolic functions: mpc_cosh, mpc_sinh, mpc_tanh - Bug fixes: - mpc_sqrt with directed rounding Copyright (C) 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2020, 2022 INRIA Copying and distribution of this file, with or without modification, are permitted in any medium without royalty provided the copyright notice and this notice are preserved. This file is offered as-is, without any warranty. mpc-1.3.1/TODO0000644000175100017460000000776214345571363007741 00000000000000From Thomas Henlich on 20 February 2020: Implement the cotangent function. From Joseph Myers 12 Apr 2015: https://sympa.inria.fr/sympa/arc/mpc-discuss/2015-04/msg00009.html Try implementing tan z = (sin 2x + i sinh 2y) / (cos 2x + cosh 2y) or (sin(x)*cos(x) + i*sinh(y)*cosh(y))/(cos(x)^2 + sinh(y)^2) as in glibc. From Karim Belabas 9 Jan 2014: Implement Hurwitz(s,x) -> gives Zeta for x=1. Cf http://arxiv.org/abs/1309.2877 From Andreas Enge 27 August 2012: Implement im(atan(x+i*y)) as 1/4 * [log1p (4y / (x^2 +(1-y)^2))] (see https://sympa.inria.fr/sympa/arc/mpc-discuss/2012-08/msg00002.html) From Andreas Enge 23 July 2012: go through tests and move them to the data files if possible (see, for instance, tcos.c) From Andreas Enge 31 August 2011: implement mul_karatsuba with three multiplications at precision around p, instead of two at precision 2*p and one at precision p requires analysis of error propagation From Andreas Enge 1 December 2022: think about, implement and document the possibility of having signed zeros as real and imaginary parts of results of multiplication. We might follow IEEE 754-2019, 3rd paragraph from section 6.3: "When the sum of two operands with opposite signs (or the difference of two operands with like signs) is exactly zero, the sign of that sum (or difference) shall be +0 under all rounding-direction attributes except roundTowardNegative; under that attribute, the sign of an exact zero sum (or difference) shall be -0. However, under all rounding-direction attributes, when x is zero, x + x and x - (-x) have the sign of x." From Andreas Enge and Paul Zimmermann 6 July 2012: Improve speed of Im (atan) for x+i*y with small y, for instance by using the Taylor series directly. See also the discussion https://sympa.inria.fr/sympa/arc/mpc-discuss/2012-08/msg00002.html and the timing program on https://sympa.inria.fr/sympa/arc/mpc-discuss/2013-08/msg00005.html For example with Sage 5.11: sage: %timeit atan(MPComplexField()(1,1)) 10000 loops, best of 3: 42.2 us per loop sage: %timeit atan(MPComplexField()(1,1e-1000)) 100 loops, best of 3: 5.29 ms per loop Same for asin: sage: %timeit asin(MPComplexField()(1,1)) 10000 loops, best of 3: 83.7 us per loop sage: %timeit asin(MPComplexField()(1,1e-1000)) 100 loops, best of 3: 17 ms per loop -> should be much faster with revision 1402 (check) Same for acos: sage: %timeit acos(MPComplexField()(1,1)) 10000 loops, best of 3: 90.8 us per loop sage: %timeit acos(MPComplexField()(1,1e-1000)) 1 loops, best of 3: 2.29 s per loop Same for asinh: sage: %timeit asinh(MPComplexField()(1,1)) 10000 loops, best of 3: 84 us per loop sage: %timeit asinh(MPComplexField()(1,1e-1000)) 100 loops, best of 3: 2.1 ms per loop sage: %timeit acosh(MPComplexField()(1,1)) 10000 loops, best of 3: 92 us per loop sage: %timeit acosh(MPComplexField()(1,1e-1000)) 1 loops, best of 3: 2.28 s per loop Bench: - from Andreas Enge 9 June 2009: Scripts and web page comparing timings with different systems, as done for mpfr at http://www.mpfr.org/mpfr-2.4.0/timings.html New functions to implement: - from Joseph S. Myers 19 Mar 2012: mpc_erf, mpc_erfc, mpc_exp2, mpc_expm1, mpc_log1p, mpc_log2, mpc_lgamma, mpc_tgamma https://sympa.inria.fr/sympa/arc/mpc-discuss/2012-03/msg00009.html See the article by Pascal Molin (hal.archives-ouvertes.fr/hal-00580855). - implement a root-finding algorithm using the Durand-Kerner method (cf http://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method). See also the CEVAL algorithm from Yap and Sagraloff: http://www.mpi-inf.mpg.de/~msagralo/ceval.pdf A good starting point for the Durand-Kerner and Aberth methods is the paper by Dario Bini "Numerical computation of polynomial zeros by means of Aberth's method", Numerical Algorithms 13 (1996), 179-200. New tests to add: - from Andreas Enge and Philippe Théveny 9 April 2008 correct handling of Nan and infinities in the case of intermediate overflows while the result may fit (we need special code)