pax_global_header00006660000000000000000000000064133754271200014516gustar00rootroot0000000000000052 comment=e05634b0f0b85deae2e796a8acc1cad5961819eb python-sortedcontainers-2.1.0/000077500000000000000000000000001337542712000164235ustar00rootroot00000000000000python-sortedcontainers-2.1.0/.gitignore000066400000000000000000000003541337542712000204150ustar00rootroot00000000000000# Python byte-code *.py[co] # virutalenv directories /env*/ # test files/directories .coverage .pytest_cache/ /.tox/ # setup and upload directories /build/ /dist/ /sortedcontainers.egg-info/ /docs/_build/ # macOS metadata .DS_Store python-sortedcontainers-2.1.0/.pylintrc000066400000000000000000000406071337542712000202770ustar00rootroot00000000000000[MASTER] # A comma-separated list of package or module names from where C extensions may # be loaded. Extensions are loading into the active Python interpreter and may # run arbitrary code extension-pkg-whitelist= # Add files or directories to the blacklist. They should be base names, not # paths. ignore=CVS # Add files or directories matching the regex patterns to the blacklist. The # regex matches against base names, not paths. ignore-patterns= # Python code to execute, usually for sys.path manipulation such as # pygtk.require(). #init-hook= # Use multiple processes to speed up Pylint. jobs=1 # List of plugins (as comma separated values of python modules names) to load, # usually to register additional checkers. load-plugins= # Pickle collected data for later comparisons. persistent=yes # Specify a configuration file. #rcfile= # When enabled, pylint would attempt to guess common misconfiguration and emit # user-friendly hints instead of false-positive error messages suggestion-mode=yes # Allow loading of arbitrary C extensions. Extensions are imported into the # active Python interpreter and may run arbitrary code. unsafe-load-any-extension=no [MESSAGES CONTROL] # Only show warnings with the listed confidence levels. Leave empty to show # all. Valid levels: HIGH, INFERENCE, INFERENCE_FAILURE, UNDEFINED confidence= # Disable the message, report, category or checker with the given id(s). You # can either give multiple identifiers separated by comma (,) or put this # option multiple times (only on the command line, not in the configuration # file where it should appear only once).You can also use "--disable=all" to # disable everything first and then reenable specific checks. For example, if # you want to run only the similarities checker, you can use "--disable=all # --enable=similarities". If you want to run only the classes checker, but have # no Warning level messages displayed, use"--disable=all --enable=classes # --disable=W" disable=print-statement, parameter-unpacking, unpacking-in-except, old-raise-syntax, backtick, long-suffix, old-ne-operator, old-octal-literal, import-star-module-level, non-ascii-bytes-literal, raw-checker-failed, bad-inline-option, locally-disabled, locally-enabled, file-ignored, suppressed-message, useless-suppression, deprecated-pragma, apply-builtin, basestring-builtin, buffer-builtin, cmp-builtin, coerce-builtin, execfile-builtin, file-builtin, long-builtin, raw_input-builtin, reduce-builtin, standarderror-builtin, unicode-builtin, xrange-builtin, coerce-method, delslice-method, getslice-method, setslice-method, no-absolute-import, old-division, dict-iter-method, dict-view-method, next-method-called, metaclass-assignment, indexing-exception, raising-string, reload-builtin, oct-method, hex-method, nonzero-method, cmp-method, input-builtin, round-builtin, intern-builtin, unichr-builtin, map-builtin-not-iterating, zip-builtin-not-iterating, range-builtin-not-iterating, filter-builtin-not-iterating, using-cmp-argument, eq-without-hash, div-method, idiv-method, rdiv-method, exception-message-attribute, invalid-str-codec, sys-max-int, bad-python3-import, deprecated-string-function, deprecated-str-translate-call, deprecated-itertools-function, deprecated-types-field, next-method-defined, dict-items-not-iterating, dict-keys-not-iterating, dict-values-not-iterating, inconsistent-return-statements, no-name-in-module, invalid-name, abstract-method, protected-access, redefined-argument-from-local, no-staticmethod-decorator, super-init-not-called, ungrouped-imports, no-else-return, useless-object-inheritance # Enable the message, report, category or checker with the given id(s). You can # either give multiple identifier separated by comma (,) or put this option # multiple time (only on the command line, not in the configuration file where # it should appear only once). See also the "--disable" option for examples. enable=c-extension-no-member [REPORTS] # Python expression which should return a note less than 10 (10 is the highest # note). You have access to the variables errors warning, statement which # respectively contain the number of errors / warnings messages and the total # number of statements analyzed. This is used by the global evaluation report # (RP0004). evaluation=10.0 - ((float(5 * error + warning + refactor + convention) / statement) * 10) # Template used to display messages. This is a python new-style format string # used to format the message information. See doc for all details #msg-template= # Set the output format. Available formats are text, parseable, colorized, json # and msvs (visual studio).You can also give a reporter class, eg # mypackage.mymodule.MyReporterClass. output-format=text # Tells whether to display a full report or only the messages reports=no # Activate the evaluation score. score=yes [REFACTORING] # Maximum number of nested blocks for function / method body max-nested-blocks=5 # Complete name of functions that never returns. When checking for # inconsistent-return-statements if a never returning function is called then # it will be considered as an explicit return statement and no message will be # printed. never-returning-functions=optparse.Values,sys.exit [LOGGING] # Logging modules to check that the string format arguments are in logging # function parameter format logging-modules=logging [SPELLING] # Limits count of emitted suggestions for spelling mistakes max-spelling-suggestions=4 # Spelling dictionary name. Available dictionaries: none. To make it working # install python-enchant package. spelling-dict= # List of comma separated words that should not be checked. spelling-ignore-words= # A path to a file that contains private dictionary; one word per line. spelling-private-dict-file= # Tells whether to store unknown words to indicated private dictionary in # --spelling-private-dict-file option instead of raising a message. spelling-store-unknown-words=no [MISCELLANEOUS] # List of note tags to take in consideration, separated by a comma. notes=FIXME, XXX, TODO [TYPECHECK] # List of decorators that produce context managers, such as # contextlib.contextmanager. Add to this list to register other decorators that # produce valid context managers. contextmanager-decorators=contextlib.contextmanager # List of members which are set dynamically and missed by pylint inference # system, and so shouldn't trigger E1101 when accessed. Python regular # expressions are accepted. generated-members=bisect_key_left, bisect_key_right, bisect_key, irange_key # Tells whether missing members accessed in mixin class should be ignored. A # mixin class is detected if its name ends with "mixin" (case insensitive). ignore-mixin-members=yes # This flag controls whether pylint should warn about no-member and similar # checks whenever an opaque object is returned when inferring. The inference # can return multiple potential results while evaluating a Python object, but # some branches might not be evaluated, which results in partial inference. In # that case, it might be useful to still emit no-member and other checks for # the rest of the inferred objects. ignore-on-opaque-inference=yes # List of class names for which member attributes should not be checked (useful # for classes with dynamically set attributes). This supports the use of # qualified names. ignored-classes=optparse.Values,thread._local,_thread._local # List of module names for which member attributes should not be checked # (useful for modules/projects where namespaces are manipulated during runtime # and thus existing member attributes cannot be deduced by static analysis. It # supports qualified module names, as well as Unix pattern matching. ignored-modules= # Show a hint with possible names when a member name was not found. The aspect # of finding the hint is based on edit distance. missing-member-hint=yes # The minimum edit distance a name should have in order to be considered a # similar match for a missing member name. missing-member-hint-distance=1 # The total number of similar names that should be taken in consideration when # showing a hint for a missing member. missing-member-max-choices=1 [VARIABLES] # List of additional names supposed to be defined in builtins. Remember that # you should avoid to define new builtins when possible. additional-builtins= # Tells whether unused global variables should be treated as a violation. allow-global-unused-variables=yes # List of strings which can identify a callback function by name. A callback # name must start or end with one of those strings. callbacks=cb_, _cb # A regular expression matching the name of dummy variables (i.e. expectedly # not used). dummy-variables-rgx=_+$|(_[a-zA-Z0-9_]*[a-zA-Z0-9]+?$)|dummy|^ignored_|^unused_ # Argument names that match this expression will be ignored. Default to name # with leading underscore ignored-argument-names=_.*|^ignored_|^unused_ # Tells whether we should check for unused import in __init__ files. init-import=no # List of qualified module names which can have objects that can redefine # builtins. redefining-builtins-modules=six.moves,past.builtins,future.builtins [FORMAT] # Expected format of line ending, e.g. empty (any line ending), LF or CRLF. expected-line-ending-format= # Regexp for a line that is allowed to be longer than the limit. ignore-long-lines=^\s*(# )??$ # Number of spaces of indent required inside a hanging or continued line. indent-after-paren=4 # String used as indentation unit. This is usually " " (4 spaces) or "\t" (1 # tab). indent-string=' ' # Maximum number of characters on a single line. max-line-length=80 # Maximum number of lines in a module max-module-lines=1000 # List of optional constructs for which whitespace checking is disabled. `dict- # separator` is used to allow tabulation in dicts, etc.: {1 : 1,\n222: 2}. # `trailing-comma` allows a space between comma and closing bracket: (a, ). # `empty-line` allows space-only lines. no-space-check=trailing-comma, dict-separator # Allow the body of a class to be on the same line as the declaration if body # contains single statement. single-line-class-stmt=no # Allow the body of an if to be on the same line as the test if there is no # else. single-line-if-stmt=no [SIMILARITIES] # Ignore comments when computing similarities. ignore-comments=yes # Ignore docstrings when computing similarities. ignore-docstrings=yes # Ignore imports when computing similarities. ignore-imports=no # Minimum lines number of a similarity. min-similarity-lines=6 [BASIC] # Naming style matching correct argument names argument-naming-style=snake_case # Regular expression matching correct argument names. Overrides argument- # naming-style #argument-rgx= # Naming style matching correct attribute names attr-naming-style=snake_case # Regular expression matching correct attribute names. Overrides attr-naming- # style #attr-rgx= # Bad variable names which should always be refused, separated by a comma bad-names=foo, bar, baz, toto, tutu, tata # Naming style matching correct class attribute names class-attribute-naming-style=any # Regular expression matching correct class attribute names. Overrides class- # attribute-naming-style #class-attribute-rgx= # Naming style matching correct class names class-naming-style=PascalCase # Regular expression matching correct class names. Overrides class-naming-style #class-rgx= # Naming style matching correct constant names const-naming-style=UPPER_CASE # Regular expression matching correct constant names. Overrides const-naming- # style #const-rgx= # Minimum line length for functions/classes that require docstrings, shorter # ones are exempt. docstring-min-length=-1 # Naming style matching correct function names function-naming-style=snake_case # Regular expression matching correct function names. Overrides function- # naming-style #function-rgx= # Good variable names which should always be accepted, separated by a comma good-names=i, j, k, ex, Run, _ # Include a hint for the correct naming format with invalid-name include-naming-hint=no # Naming style matching correct inline iteration names inlinevar-naming-style=any # Regular expression matching correct inline iteration names. Overrides # inlinevar-naming-style #inlinevar-rgx= # Naming style matching correct method names method-naming-style=snake_case # Regular expression matching correct method names. Overrides method-naming- # style #method-rgx= # Naming style matching correct module names module-naming-style=snake_case # Regular expression matching correct module names. Overrides module-naming- # style #module-rgx= # Colon-delimited sets of names that determine each other's naming style when # the name regexes allow several styles. name-group= # Regular expression which should only match function or class names that do # not require a docstring. no-docstring-rgx=^_ # List of decorators that produce properties, such as abc.abstractproperty. Add # to this list to register other decorators that produce valid properties. property-classes=abc.abstractproperty # Naming style matching correct variable names variable-naming-style=snake_case # Regular expression matching correct variable names. Overrides variable- # naming-style #variable-rgx= [IMPORTS] # Allow wildcard imports from modules that define __all__. allow-wildcard-with-all=no # Analyse import fallback blocks. This can be used to support both Python 2 and # 3 compatible code, which means that the block might have code that exists # only in one or another interpreter, leading to false positives when analysed. analyse-fallback-blocks=no # Deprecated modules which should not be used, separated by a comma deprecated-modules=optparse,tkinter.tix # Create a graph of external dependencies in the given file (report RP0402 must # not be disabled) ext-import-graph= # Create a graph of every (i.e. internal and external) dependencies in the # given file (report RP0402 must not be disabled) import-graph= # Create a graph of internal dependencies in the given file (report RP0402 must # not be disabled) int-import-graph= # Force import order to recognize a module as part of the standard # compatibility libraries. known-standard-library= # Force import order to recognize a module as part of a third party library. known-third-party=enchant [CLASSES] # List of method names used to declare (i.e. assign) instance attributes. defining-attr-methods=__init__, __new__, setUp # List of member names, which should be excluded from the protected access # warning. exclude-protected=_asdict, _fields, _replace, _source, _make # List of valid names for the first argument in a class method. valid-classmethod-first-arg=cls # List of valid names for the first argument in a metaclass class method. valid-metaclass-classmethod-first-arg=mcs [DESIGN] # Maximum number of arguments for function / method max-args=6 # Maximum number of attributes for a class (see R0902). max-attributes=30 # Maximum number of boolean expressions in a if statement max-bool-expr=5 # Maximum number of branch for function / method body max-branches=25 # Maximum number of locals for function / method body max-locals=30 # Maximum number of parents for a class (see R0901). max-parents=10 # Maximum number of public methods for a class (see R0904). max-public-methods=20 # Maximum number of return / yield for function / method body max-returns=10 # Maximum number of statements in function / method body max-statements=70 # Minimum number of public methods for a class (see R0903). min-public-methods=2 [EXCEPTIONS] # Exceptions that will emit a warning when being caught. Defaults to # "Exception" overgeneral-exceptions=Exception python-sortedcontainers-2.1.0/.travis.yml000066400000000000000000000007071337542712000205400ustar00rootroot00000000000000sudo: false language: python install: pip install tox script: tox matrix: include: - python: 2.7 env: TOXENV=py27 - python: 3.4 env: TOXENV=py34 - python: 3.5 env: TOXENV=py35 - python: 3.6 env: TOXENV=py36 - python: 3.7 dist: xenial env: TOXENV=py37 - python: pypy env: TOXENV=pypy - python: pypy3 env: TOXENV=pypy3 - python: 3.7 dist: xenial env: TOXENV=lint python-sortedcontainers-2.1.0/HISTORY.rst000066400000000000000000000346771337542712000203370ustar00rootroot00000000000000Sorted Containers Release History ================================= .. contents:: :depth: 1 :local: .. currentmodule:: sortedcontainers 2.1.0 (2018-11-21) ------------------ **Miscellaneous** * Small updates to docs and tests for Python 3.7. 2.0.5 (2018-09-03) ------------------ **Bugfixes** * Change imports for Abstract Base Classes to `collections.abc` to avoid warnings in Python 3.7. 2.0.4 (2018-06-06) ------------------ **Bugfixes** * `SortedDict` methods `iterkeys`, `iteritems`, `itervalues`, `viewkeys`, `viewitems`, and `viewvalues` are not implemented for Python 2. Attribute lookup now raises :exc:`AttributeError`. 2.0.3 (2018-05-31) ------------------ **API Changes** * Accessing `SortedDict.iloc` will emit `DeprecationWarning`. **Bugfixes** * `SortedSet.__rsub__` erroneously reversed its arguments. The method has been removed in favor of the inherited `Set.__rsub__` which has a correct implementation. * :class:`SortedKeysView` and :class:`SortedValuesView` set-operations now return :class:`SortedSet` objects to better match the semantics of version 1. **Miscellaneous** * The source distribution no longer contains the `docs` and `tests` directories. If you need these, then please download an archive from Github. Version control is tagged with the version released to PyPI. 2.0.2 (2018-05-21) ------------------ **API Changes** * Add `SortedDict.iloc` for improved backwards compatibility with version 1. 2.0.1 (2018-05-18) ------------------ **Miscellaneous** * Rename Github repo from `grantjenks/sorted_containers` to `grantjenks/python-sortedcontainers`. * Fix broken links in documentation. .. _v2: 2.0.0 (2018-05-18) ------------------ Version 2 represents a significant update to the source base. The code has been refactored and modernized to embrace Python 3 semantics while also using `autodoc` in Sphinx for more maintainable documentation. The core design and algorithms are all the same. Sorted Containers still supports and is tested on Python 2 but primary development is now on Python 3.6. Version 2 is developed on the `master` branch in the source repository and Version 1 of Sorted Containers will be maintained on branch `v1`. Version 3 of Sorted Containers will be released sometime after January 1, 2020 and will drop support for Python 2. At a high-level, changes can be categorized in three ways: 1. :class:`SortedList` methods `__setitem__`, `append`, `extend`, and `insert` all now raise :exc:`NotImplementedError`. Use `add` or `update` instead. Though it's possible to implement these methods, they were confusing, inefficient and wrongly used by some users. Sorted list implementations that need the functionality are encouraged to do so through subclassing. Branch `v1` contains a reference implementation. 2. :class:`SortedDict` now uses Python 3 semantics for dict views. The `iterkeys`, `iteritems`, `itervalues`, `viewkeys`, `viewitems`, and `viewvalues` methods have all been removed. Use the `keys`, `items`, or `values` methods which now return sorted dict views. :class:`SortedKeysView` has also replaced `SortedDict.iloc` as a better interface for indexing. 3. Method parameter names have changed to be more consistent with Python's built-in data types: `val` has changed to `value`, `idx` has changed to `index`, and `that` has changed to `other`. **API Changes** * :class:`SortedListWithKey` is deprecated. Use :class:`SortedKeyList` instead. The name `SortedListWithKey` remains as an alias for `SortedKeyList`. The alias will be removed in Version 3. * `sortedcontainers.sortedlist.LOAD` has moved to `SortedList.DEFAULT_LOAD_FACTOR` so that derived classes can customize the value. * `SortedList._half` and `SortedList._dual` have been removed. Use `SortedList._load` instead. * :func:`SortedList.add` parameter `val` renamed to `value`. * :func:`SortedList.__contains__` parameter `val` renamed to `value`. * :func:`SortedList.discard` parameter `val` renamed to `value`. * :func:`SortedList.remove` parameter `val` renamed to `value`. * :func:`SortedList.__delitem__` parameter `idx` renamed to `index`. * :func:`SortedList.__getitem__` parameter `idx` renamed to `index`. * :func:`SortedList.__setitem__` now raises :exc:`NotImplementedError`. Use :func:`SortedList.__delitem__` and :func:`SortedList.add` instead. * :func:`SortedList.bisect_left` parameter `val` renamed to `value`. * :func:`SortedList.bisect_right` parameter `val` renamed to `value`. * :func:`SortedList.bisect` parameter `val` renamed to `value`. * :func:`SortedList.count` parameter `val` renamed to `value`. * :func:`SortedList.append` now raises :exc:`NotImplementedError`. Use :func:`SortedList.add` instead. * :func:`SortedList.extend` now raises :exc:`NotImplementedError`. Use :func:`SortedList.update` instead. * :func:`SortedList.insert` now raises :exc:`NotImplementedError`. Use :func:`SortedList.add` instead. * :func:`SortedList.pop` parameter `idx` renamed to `index`. * :func:`SortedList.index` parameter `val` renamed to `value`. * :func:`SortedList.__add__` parameter `that` renamed to `other`. * :func:`SortedList.__iadd__` parameter `that` renamed to `other`. * :func:`SortedList.__mul__` parameter `that` renamed to `num`. * :func:`SortedList.__imul__` parameter `that` renamed to `num`. * `SortedList._make_cmp` renamed to `SortedList.__make_cmp`. * :func:`SortedKeyList.add` parameter `val` renamed to `value`. * :func:`SortedKeyList.__contains__` parameter `val` renamed to `value`. * :func:`SortedKeyList.discard` parameter `val` renamed to `value`. * :func:`SortedKeyList.remove` parameter `val` renamed to `value`. * :func:`SortedKeyList.bisect_left` parameter `val` renamed to `value`. * :func:`SortedKeyList.bisect_right` parameter `val` renamed to `value`. * :func:`SortedKeyList.bisect` parameter `val` renamed to `value`. * :func:`SortedKeyList.count` parameter `val` renamed to `value`. * :func:`SortedKeyList.append` now raises :exc:`NotImplementedError`. Use :func:`SortedKeyList.add` instead. * :func:`SortedKeyList.extend` now raises :exc:`NotImplementedError`. Use :func:`SortedKeyList.update` instead. * :func:`SortedKeyList.insert` now raises :exc:`NotImplementedError`. Use :func:`SortedKeyList.add` instead. * :func:`SortedKeyList.index` parameter `val` renamed to `value`. * :func:`SortedKeyList.__add__` parameter `that` renamed to `other`. * :func:`SortedKeyList.__radd__` added. * :func:`SortedKeyList.__iadd__` parameter `that` renamed to `other`. * :func:`SortedKeyList.__mul__` parameter `that` renamed to `num`. * :func:`SortedKeyList.__rmul__` added. * :func:`SortedKeyList.__imul__` parameter `that` renamed to `num`. * Removed `SortedDict.iloc`. Use :func:`SortedDict.keys` and :class:`SortedKeysView` instead. * :func:`SortedDict.fromkeys` parameter `seq` renamed to `iterable`. * :func:`SortedDict.keys` now returns :class:`SortedKeysView`. * :func:`SortedDict.items` now returns :class:`SortedItemsView`. * :func:`SortedDict.values` now returns :class:`SortedValuesView`. * Removed `SortedDict.viewkeys`. Use :func:`SortedDict.keys` instead. * Removed `SortedDict.viewitems`. Use :func:`SortedDict.items` instead. * Removed `SortedDict.viewvalues`. Use :func:`SortedDict.values` instead. * `SortedDict.iterkeys` removed. Use :func:`SortedDict.keys` instead. * `SortedDict.iteritems` removed. Use :func:`SortedDict.items` instead. * `SortedDict.itervalues` removed. Use :func:`SortedDict.values` instead. * `SortedDict.popitem` now accepts an optional `index` argument. Default ``-1``. * `sorteddict.KeysView` renamed to :class:`SortedKeysView`. * `sorteddict.ItemsView` renamed to :class:`SortedItemsView`. * `sorteddict.ValuesView` renamed to :class:`SortedValuesView`. * Sorted dict views rely on collections abstract base classes: dict views and sequence. The :func:`SortedKeysView.__getitem__`, :func:`SortedItemsView.__getitem__`, and :func:`SortedValuesView.__getitem__` methods are implemented and optimized. All other mixin methods use the default implementation provided by the base class. Prefer :class:`SortedDict` methods to view methods when possible. * `SortedSet._make_cmp` renamed to `SortedSet.__make_cmp`. * :func:`SortedSet.symmetric_difference` parameter `that` renamed to `other`. * :func:`SortedSet.symmetric_difference_update` parameter `that` renamed to `other`. **Miscellaneous** * Sphinx `autodoc` now used for API documentation. * All benchmarks now run on CPython 3.6 unless otherwise noted. * Testing now uses `pytest` rather than `nose`. * AppVeyor CI testing added. * Updated versions of alternative implementations. 1.5.10 (2018-04-21) ------------------- **Miscellaneous** * Improved performance of irange(...) and islice(...) methods. 1.5.9 (2017-12-08) ------------------ **Miscellaneous** * Dropped CPython 2.6 testing. 1.5.8 (2017-12-08) ------------------ **Bugfixes** * Added ``SortedList.reverse`` to override ``MutableSequence.reverse`` and raise ``NotImplementedError``. 1.5.7 (2016-12-22) ------------------ **Bugfixes** * Changed ``SortedList.__setitem__`` to support slices with stop less than start and step equal one. 1.5.6 (2016-12-09) ------------------ **Bugfixes** * Changed ``SortedList.__setitem__`` to support slices that alias itself. 1.5.5 (2016-12-05) ------------------ **Bugfixes** * Changed ``SortedList.extend`` to support empty iterables. 1.5.4 (2016-10-16) ------------------ **Bugfixes** * Changed ``SortedList.__new__`` to call ``SortedListWithKey.__init__`` once instead of twice. 1.5.3 (2016-06-01) ------------------ **Miscellaneous** * Updated documentation with PyCon 2016 Talk. 1.5.2 (2016-05-28) ------------------ **API Changes** * Added ``SortedDict.peekitem`` method. 1.5.1 (2016-05-26) ------------------ **Miscellaneous** * Added support for PyLint and minor source changes. * Dropped Python 3.2 support from tox testing due to virtualenv limitations. 1.5.0 (2016-05-26) ------------------ **Miscellaneous** * Added Performance at Scale documentation. 1.4.3 (2015-12-03) ------------------ **Miscellaneous** * Updated documentation with SF Python 2015 Holiday Meetup Talk. 1.4.2 (2015-10-20) ------------------ **API Changes** * Changed ``SortedList`` initializer to support key-argument callable and automatically return ``SortedListWithKey`` when present. * Changed ``SortedListWithKey`` to inherit from ``SortedList``. * Changed ``SortedSet.__ior__`` to call `update` rather than `union`. * Changed SortedList comparison to match Sequence semantics as described in CPython Language Reference Section 5.9. * Changed SortedSet comparison to raise NotImplemented on type mismatch. * Removed SortedList.as_list method. Use ``list(sorted_list)`` instead. * Removed SortedList._slice method. Use ``slice.indices`` instead. * Added private references to public methods for internal use to ease method over-loading. **Bugfixes** * Changed sorteddict.ValuesView.count to correctly reference sorted dictionary. **Improvements** * ``SortedList.__getitem__`` now 35% faster for indexing at beginning and end. * ``SortedList.pop`` now 35% faster by inlining fast-paths. * ``del sorted_list[:]`` now calls `clear` and is much faster. * ``sorted_list[:] = values`` now calls `clear` and `update` and is much faster. **Miscellaneous** * Added Python 3.5 support in tox testing. * Added discussion of `ruamel.ordereddict.sorteddict` to performance documentation. * Merged file ``sortedlistwithkey.py`` into ``sortedlist.py``. 0.9.6 (2015-06-22) ------------------ **API Changes** * Added ``islice`` method to sorted list, dict, and set types. * Added ``irange`` and ``irange_key`` method to sorted list, dict, and set types. 0.9.5 (2015-03-16) ------------------ **API Changes** * Added ``bisect_key`` methods to sorted list, dict, and set types. * Added ``last=True`` argument to ``SortedDict.popitem``. 0.9.4 (2014-12-04) ------------------ **Bugfixes** * Added implementation and testing for Python pickle module. 0.9.3 (2014-11-30) ------------------ **API Changes** * Removed ``SortedListWithKeyPair`` type. **Improvements** * Changed type references to ``self.__class__`` as able. 0.9.2 (2014-10-20) ------------------ **API Changes** * Removed ``value_orderable`` argument from ``SortedListWithKey`` initializer. * Added key-callable argument to ``SortedDict`` initializer. * Added key-callable argument to ``SortedSet`` initializer. **Improvements** * Changed ``SortedDict`` to inherit directly from ``dict``. **Miscellaneous** * Added PyPy3 support to tox testing. * Added ``SortedListWithKey`` to sorted list performance comparison documentation. 0.9.1 (2014-09-20) ------------------ **Bugfixes** * Changed ``SortedList.__setitem__`` with slices to correctly update internal "maxes" index. 0.9.0 (2014-09-17) ------------------ **API Changes** * Added ``__ior__``, ``__iand__``, ``__isub__``, and ``__ixor__`` methods to ``SortedSet`` interface. **Improvements** * Changed position-based indexing to use dense tree-based index. **Miscellaneous** * Added workload-based performance comparison for sorted list: Priority Queue, Multiset, etc. 0.8.5 (2014-08-11) ------------------ **Bugfixes** * Changed copy methods to make shallow copies: values are not copied, only references to values are copied. **Miscellaneous** * Added load-factor performance comparison documentation. 0.8.4 (2014-07-29) ------------------ **API Changes** * Added ``value_orderable`` parameter to ``SortedListWithKey`` to support incomparable value types. **Bugfixes** * Changed ``repr`` methods to prevent infinite recursion and allow easier subclassing. 0.8.3 (2014-07-07) ------------------ **Miscellaneous** * Added more testing for sorted lists with key-callable argument. 0.8.2 (2014-06-13) ------------------ **API Changes** * Added ``SortedListWithKey`` type with implementation based on ``(key, value)`` tuples. 0.8.1 (2014-05-08) ------------------ **Bugfixes** * Added contains-key check in sorted dict equality comparisons. **Miscellaneous** * Added Python runtime comparison to documentation. * Added sorted dict and set comparison to benchmark documentation. * Added Travis-CI testing. 0.8.0 (2014-04-08) ------------------ **API Changes** * Added ``bisect`` methods from ``SortedList`` to ``SortedDict`` interface. 0.7.0 (2014-04-02) ------------------ **Miscellaneous** * Added Banyan module to benchmark documentation. 0.6.0 (2014-03-18) ------------------ **Miscellaneous** * Added testing support for CPython 2.6, 2.7, 3.2, and 3.3 with full coverage. 0.5.0 (2014-03-14) ------------------ * Initial release of sorted list, dict, and set types. python-sortedcontainers-2.1.0/LICENSE000066400000000000000000000010551337542712000174310ustar00rootroot00000000000000Copyright 2014-2018 Grant Jenks Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. python-sortedcontainers-2.1.0/MANIFEST.in000066400000000000000000000000331337542712000201550ustar00rootroot00000000000000include README.rst LICENSE python-sortedcontainers-2.1.0/README.rst000066400000000000000000000222761337542712000201230ustar00rootroot00000000000000Python Sorted Containers ======================== `Sorted Containers`_ is an Apache2 licensed `sorted collections library`_, written in pure-Python, and fast as C-extensions. Python's standard library is great until you need a sorted collections type. Many will attest that you can get really far without one, but the moment you **really need** a sorted list, sorted dict, or sorted set, you're faced with a dozen different implementations, most using C-extensions without great documentation and benchmarking. In Python, we can do better. And we can do it in pure-Python! .. code-block:: python >>> from sortedcontainers import SortedList >>> sl = SortedList(['e', 'a', 'c', 'd', 'b']) >>> sl SortedList(['a', 'b', 'c', 'd', 'e']) >>> sl *= 10_000_000 >>> sl.count('c') 10000000 >>> sl[-3:] ['e', 'e', 'e'] >>> from sortedcontainers import SortedDict >>> sd = SortedDict({'c': 3, 'a': 1, 'b': 2}) >>> sd SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> sd.popitem(index=-1) ('c', 3) >>> from sortedcontainers import SortedSet >>> ss = SortedSet('abracadabra') >>> ss SortedSet(['a', 'b', 'c', 'd', 'r']) >>> ss.bisect_left('c') 2 All of the operations shown above run in faster than linear time. The above demo also takes nearly a gigabyte of memory to run. When the sorted list is multiplied by ten million, it stores ten million references to each of "a" through "e". Each reference requires eight bytes in the sorted container. That's pretty hard to beat as it's the cost of a pointer to each object. It's also 66% less overhead than a typical binary tree implementation (e.g. Red-Black Tree, AVL-Tree, AA-Tree, Splay-Tree, Treap, etc.) for which every node must also store two pointers to children nodes. `Sorted Containers`_ takes all of the work out of Python sorted collections - making your deployment and use of Python easy. There's no need to install a C compiler or pre-build and distribute custom extensions. Performance is a feature and testing has 100% coverage with unit tests and hours of stress. .. _`Sorted Containers`: http://www.grantjenks.com/docs/sortedcontainers/ .. _`sorted collections library`: http://www.grantjenks.com/docs/sortedcontainers/ Testimonials ------------ **Alex Martelli**, `Fellow of the Python Software Foundation`_ "Good stuff! ... I like the `simple, effective implementation`_ idea of splitting the sorted containers into smaller "fragments" to avoid the O(N) insertion costs." **Jeff Knupp**, `author of Writing Idiomatic Python and Python Trainer`_ "That last part, "fast as C-extensions," was difficult to believe. I would need some sort of `Performance Comparison`_ to be convinced this is true. The author includes this in the docs. It is." **Kevin Samuel**, `Python and Django Trainer`_ I'm quite amazed, not just by the code quality (it's incredibly readable and has more comment than code, wow), but the actual amount of work you put at stuff that is *not* code: documentation, benchmarking, implementation explanations. Even the git log is clean and the unit tests run out of the box on Python 2 and 3. **Mark Summerfield**, a short plea for `Python Sorted Collections`_ Python's "batteries included" standard library seems to have a battery missing. And the argument that "we never had it before" has worn thin. It is time that Python offered a full range of collection classes out of the box, including sorted ones. `Sorted Containers`_ is used in popular open source projects such as: `Zipline`_, an algorithmic trading library from Quantopian; `Angr`_, a binary analysis platform from UC Santa Barbara; `Trio`_, an async I/O library; and `Dask Distributed`_, a distributed computation library supported by Continuum Analytics. .. _`Fellow of the Python Software Foundation`: https://en.wikipedia.org/wiki/Alex_Martelli .. _`simple, effective implementation`: http://www.grantjenks.com/docs/sortedcontainers/implementation.html .. _`author of Writing Idiomatic Python and Python Trainer`: https://jeffknupp.com/ .. _`Python and Django Trainer`: https://www.elephorm.com/formateur/kevin-samuel .. _`Python Sorted Collections`: http://www.qtrac.eu/pysorted.html .. _`Zipline`: https://github.com/quantopian/zipline .. _`Angr`: https://github.com/angr/angr .. _`Trio`: https://github.com/python-trio/trio .. _`Dask Distributed`: https://github.com/dask/distributed Features -------- - Pure-Python - Fully documented - Benchmark comparison (alternatives, runtimes, load-factors) - 100% test coverage - Hours of stress testing - Performance matters (often faster than C implementations) - Compatible API (nearly identical to older blist and bintrees modules) - Feature-rich (e.g. get the five largest keys in a sorted dict: d.keys()[-5:]) - Pragmatic design (e.g. SortedSet is a Python set with a SortedList index) - Developed on Python 3.7 - Tested on CPython 2.7, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7 and PyPy, PyPy3 .. image:: https://api.travis-ci.org/grantjenks/python-sortedcontainers.svg?branch=master :target: http://www.grantjenks.com/docs/sortedcontainers/ .. image:: https://ci.appveyor.com/api/projects/status/github/grantjenks/python-sortedcontainers?branch=master&svg=true :target: http://www.grantjenks.com/docs/sortedcontainers/ Quickstart ---------- Installing `Sorted Containers`_ is simple with `pip `_:: $ pip install sortedcontainers You can access documentation in the interpreter with Python's built-in `help` function. The `help` works on modules, classes and methods in `Sorted Containers`_. .. code-block:: python >>> import sortedcontainers >>> help(sortedcontainers) >>> from sortedcontainers import SortedDict >>> help(SortedDict) >>> help(SortedDict.popitem) Documentation ------------- Complete documentation including performance comparisons is available at http://www.grantjenks.com/docs/sortedcontainers/ User Guide .......... For those wanting more details, this part of the documentation describes introduction, implementation, performance, and development. - `Introduction`_ - `Performance Comparison`_ - `Load Factor Performance Comparison`_ - `Runtime Performance Comparison`_ - `Simulated Workload Performance Comparison`_ - `Implementation Details`_ - `Performance at Scale`_ - `Developing and Contributing`_ - `Release History`_ .. _`Introduction`: http://www.grantjenks.com/docs/sortedcontainers/introduction.html .. _`Performance Comparison`: http://www.grantjenks.com/docs/sortedcontainers/performance.html .. _`Load Factor Performance Comparison`: http://www.grantjenks.com/docs/sortedcontainers/performance-load.html .. _`Runtime Performance Comparison`: http://www.grantjenks.com/docs/sortedcontainers/performance-runtime.html .. _`Simulated Workload Performance Comparison`: http://www.grantjenks.com/docs/sortedcontainers/performance-workload.html .. _`Implementation Details`: http://www.grantjenks.com/docs/sortedcontainers/implementation.html .. _`Performance at Scale`: http://www.grantjenks.com/docs/sortedcontainers/performance-scale.html .. _`Developing and Contributing`: http://www.grantjenks.com/docs/sortedcontainers/development.html .. _`Release History`: http://www.grantjenks.com/docs/sortedcontainers/history.html API Documentation ................. If you are looking for information on a specific function, class or method, this part of the documentation is for you. - `Sorted List`_ - `Sorted Dict`_ - `Sorted Set`_ .. _`Sorted List`: http://www.grantjenks.com/docs/sortedcontainers/sortedlist.html .. _`Sorted Dict`: http://www.grantjenks.com/docs/sortedcontainers/sorteddict.html .. _`Sorted Set`: http://www.grantjenks.com/docs/sortedcontainers/sortedset.html Talks ----- - `Python Sorted Collections | PyCon 2016 Talk`_ - `SF Python Holiday Party 2015 Lightning Talk`_ - `DjangoCon 2015 Lightning Talk`_ .. _`Python Sorted Collections | PyCon 2016 Talk`: http://www.grantjenks.com/docs/sortedcontainers/pycon-2016-talk.html .. _`SF Python Holiday Party 2015 Lightning Talk`: http://www.grantjenks.com/docs/sortedcontainers/sf-python-2015-lightning-talk.html .. _`DjangoCon 2015 Lightning Talk`: http://www.grantjenks.com/docs/sortedcontainers/djangocon-2015-lightning-talk.html Useful Links ------------ - `Sorted Containers Documentation`_ - `Sorted Containers at PyPI`_ - `Sorted Containers at Github`_ - `Sorted Containers Issue Tracker`_ .. _`Sorted Containers Documentation`: http://www.grantjenks.com/docs/sortedcontainers/ .. _`Sorted Containers at PyPI`: https://pypi.org/project/sortedcontainers/ .. _`Sorted Containers at Github`: https://github.com/grantjenks/python-sortedcontainers .. _`Sorted Containers Issue Tracker`: https://github.com/grantjenks/python-sortedcontainers/issues Sorted Containers License ------------------------- Copyright 2014-2018 Grant Jenks Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. python-sortedcontainers-2.1.0/appveyor.yml000066400000000000000000000007131337542712000210140ustar00rootroot00000000000000environment: matrix: - PYTHON: "C:\\Python27" - PYTHON: "C:\\Python34" - PYTHON: "C:\\Python35" - PYTHON: "C:\\Python36" - PYTHON: "C:\\Python37" - PYTHON: "C:\\Python27-x64" - PYTHON: "C:\\Python34-x64" - PYTHON: "C:\\Python35-x64" - PYTHON: "C:\\Python36-x64" - PYTHON: "C:\\Python37-x64" install: - "%PYTHON%\\python.exe -m pip install tox" build: off test_script: - "%PYTHON%\\python.exe -m tox -e py" python-sortedcontainers-2.1.0/docs/000077500000000000000000000000001337542712000173535ustar00rootroot00000000000000python-sortedcontainers-2.1.0/docs/Makefile000066400000000000000000000011451337542712000210140ustar00rootroot00000000000000# Minimal makefile for Sphinx documentation # # You can set these variables from the command line. SPHINXOPTS = SPHINXBUILD = sphinx-build SPHINXPROJ = SortedContainers SOURCEDIR = . 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python-sortedcontainers-2.1.0/docs/conf.py000066400000000000000000000131441337542712000206550ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Configuration file for the Sphinx documentation builder. # # This file does only contain a selection of the most common options. For a # full list see the documentation: # http://www.sphinx-doc.org/en/master/config # -- Path setup -------------------------------------------------------------- # If extensions (or modules to document with autodoc) are in another directory, # add these directories to sys.path here. If the directory is relative to the # documentation root, use os.path.abspath to make it absolute, like shown here. import os import sys sys.path.insert(0, os.path.abspath('..')) import sortedcontainers # -- Project information ----------------------------------------------------- project = 'Sorted Containers' copyright = sortedcontainers.__copyright__ author = sortedcontainers.__author__ # The short X.Y version version = sortedcontainers.__version__ # The full version, including alpha/beta/rc tags release = sortedcontainers.__version__ # -- General configuration --------------------------------------------------- # If your documentation needs a minimal Sphinx version, state it here. # # needs_sphinx = '1.0' # Add any Sphinx extension module names here, as strings. They can be # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom # ones. extensions = [ 'sphinx.ext.autodoc', 'sphinx.ext.todo', 'sphinx.ext.imgmath', 'sphinx.ext.viewcode', ] # Add any paths that contain templates here, relative to this directory. templates_path = ['_templates'] # The suffix(es) of source filenames. # You can specify multiple suffix as a list of string: # # source_suffix = ['.rst', '.md'] source_suffix = '.rst' # The master toctree document. master_doc = 'index' # The language for content autogenerated by Sphinx. Refer to documentation # for a list of supported languages. # # This is also used if you do content translation via gettext catalogs. # Usually you set "language" from the command line for these cases. language = None # List of patterns, relative to source directory, that match files and # directories to ignore when looking for source files. # This pattern also affects html_static_path and html_extra_path . exclude_patterns = ['_build', 'Thumbs.db', '.DS_Store'] # The name of the Pygments (syntax highlighting) style to use. pygments_style = 'sphinx' # -- Options for HTML output ------------------------------------------------- # The theme to use for HTML and HTML Help pages. See the documentation for # a list of builtin themes. html_theme = 'alabaster' # Theme options are theme-specific and customize the look and feel of a theme # further. For a list of options available for each theme, see the # documentation. html_theme_options = { 'logo': 'gj-logo.png', 'logo_name': True, 'logo_text_align': 'center', 'analytics_id': 'UA-19364636-2', 'show_powered_by': False, 'show_related': True, 'github_user': 'grantjenks', 'github_repo': 'python-sortedcontainers', 'github_type': 'star', } # Add any paths that contain custom static files (such as style sheets) here, # relative to this directory. They are copied after the builtin static files, # so a file named "default.css" will overwrite the builtin "default.css". html_static_path = ['_static'] # Custom sidebar templates, must be a dictionary that maps document names # to template names. # # The default sidebars (for documents that don't match any pattern) are # defined by theme itself. Builtin themes are using these templates by # default: ``['localtoc.html', 'relations.html', 'sourcelink.html', # 'searchbox.html']``. html_sidebars = { '**': [ 'about.html', 'gumroad.html', 'localtoc.html', 'relations.html', 'searchbox.html', ] } # -- Options for HTMLHelp output --------------------------------------------- # Output file base name for HTML help builder. htmlhelp_basename = 'SortedContainersDoc' # -- Options for LaTeX output ------------------------------------------------ latex_elements = { # The paper size ('letterpaper' or 'a4paper'). # # 'papersize': 'letterpaper', # The font size ('10pt', '11pt' or '12pt'). # # 'pointsize': '10pt', # Additional stuff for the LaTeX preamble. # # 'preamble': '', # Latex figure (float) alignment # # 'figure_align': 'htbp', } # Grouping the document tree into LaTeX files. List of tuples # (source start file, target name, title, # author, documentclass [howto, manual, or own class]). latex_documents = [ (master_doc, 'SortedContainers.tex', 'SortedContainers Documentation', 'Grant Jenks', 'manual'), ] # -- Options for manual page output ------------------------------------------ # One entry per manual page. List of tuples # (source start file, name, description, authors, manual section). man_pages = [ (master_doc, 'sortedcontainers', 'SortedContainers Documentation', [author], 1) ] # -- Options for Texinfo output ---------------------------------------------- # Grouping the document tree into Texinfo files. List of tuples # (source start file, target name, title, author, # dir menu entry, description, category) texinfo_documents = [ (master_doc, 'SortedContainers', 'SortedContainers Documentation', author, 'SortedContainers', 'Python sorted collections library:' ' sorted list, sorted dict, and sorted set.', 'Miscellaneous'), ] # -- Extension configuration ------------------------------------------------- # -- Options for todo extension ---------------------------------------------- # If true, `todo` and `todoList` produce output, else they produce nothing. todo_include_todos = True python-sortedcontainers-2.1.0/docs/development.rst000066400000000000000000000270541337542712000224370ustar00rootroot00000000000000Developing and Contributing =========================== Collaborators are welcome! #. Check for open issues or open a fresh issue to start a discussion around a bug. #. Fork the `repository`_ on GitHub and start making your changes to a new branch. #. Write a test which shows that the bug was fixed. #. Send a pull request and bug the maintainer until it gets merged and published :) .. _`repository`: https://github.com/grantjenks/python-sortedcontainers Development Lead ---------------- * Grant Jenks Requests for Contributions -------------------------- #. Terabytes of memory for benchmarks of 100,000,000,000 elements. #. Find a way for SortedSet to inherit directly from ``set``. #. Testing / benchmarking with Cython. Get the Code ------------ :doc:`Sorted Containers` is actively developed on GitHub, where the code is `open source`_. The recommended way to get a copy of the source repository is to clone the repository from GitHub:: $ git clone git://github.com/grantjenks/python-sortedcontainers.git .. _`open source`: https://github.com/grantjenks/python-sortedcontainers Development Dependencies ------------------------ Install development dependencies with `pip`_:: $ pip install -r requirements.txt This includes everything for building/running tests, benchmarks and documentation. Some alternative implementations, such as `banyan`, may have issues when installing on Windows. You can still develop :doc:`Sorted Containers` without these packages. They will be omitted from benchmarking. .. _`pip`: https://pypi.org/project/pip/ Testing ------- Testing uses `tox`_. If you don't want to install all the development requirements, then, after downloading, you can simply run:: $ python setup.py test The test argument to `setup.py` will download a minimal testing infrastructure and run the tests. :: $ python setup.py test running test running egg_info writing sortedcontainers.egg-info/PKG-INFO writing dependency_links to sortedcontainers.egg-info/dependency_links.txt writing top-level names to sortedcontainers.egg-info/top_level.txt reading manifest file 'sortedcontainers.egg-info/SOURCES.txt' reading manifest template 'MANIFEST.in' writing manifest file 'sortedcontainers.egg-info/SOURCES.txt' running build_ext GLOB sdist-make: /Users/grantj/repos/python-sortedcontainers/setup.py py36 inst-nodeps: /Users/grantj/repos/python-sortedcontainers/.tox/dist/sortedcontainers-1.5.10.zip py36 installed: attrs==18.1.0,more-itertools==4.1.0,pluggy==0.6.0,py==1.5.3,pytest==3.5.1,six==1.11.0,sortedcontainers==1.5.10 py36 runtests: PYTHONHASHSEED='365015869' py36 runtests: commands[0] | python -m pytest ================================================= test session starts ================================================= platform darwin -- Python 3.6.5, pytest-3.5.1, py-1.5.3, pluggy-0.6.0 rootdir: /Users/grantj/repos/python-sortedcontainers, inifile: tox.ini collected 357 items docs/introduction.rst . [ 0%] sortedcontainers/__init__.py . [ 0%] sortedcontainers/sorteddict.py ........... [ 3%] sortedcontainers/sortedlist.py ..................................... [ 14%] sortedcontainers/sortedset.py ................. [ 18%] tests/benchmark_splits_fill.py . [ 19%] tests/sortedcollection.py . [ 19%] tests/test_coverage_sorteddict.py ................................................... [ 33%] tests/test_coverage_sortedkeylist_modulo.py ................................................................... [ 52%] tests/test_coverage_sortedkeylist_negate.py ....................................................... [ 68%] tests/test_coverage_sortedlist.py .......................................................... [ 84%] tests/test_coverage_sortedset.py .................................................. [ 98%] tests/test_stress_sorteddict.py .. [ 98%] tests/test_stress_sortedkeylist.py . [ 99%] tests/test_stress_sortedlist.py . [ 99%] tests/test_stress_sortedset.py .. [100%] ============================================= 357 passed in 10.86 seconds ============================================= lint inst-nodeps: /Users/grantj/repos/python-sortedcontainers/.tox/dist/sortedcontainers-1.5.10.zip lint installed: astroid==1.6.4,isort==4.3.4,lazy-object-proxy==1.3.1,mccabe==0.6.1,pylint==1.9.0,six==1.11.0,sortedcontainers==1.5.10,wrapt==1.10.11 lint runtests: PYTHONHASHSEED='365015869' lint runtests: commands[0] | pylint sortedcontainers Using config file /Users/grantj/repos/python-sortedcontainers/.pylintrc -------------------------------------------------------------------- Your code has been rated at 10.00/10 (previous run: 10.00/10, +0.00) _______________________________________________________ summary _______________________________________________________ py36: commands succeeded lint: commands succeeded Coverage testing uses `pytest-cov`_: :: $ python -m pytest --cov sortedcontainers --cov-report term-missing --cov-branch ================================================= test session starts ================================================= platform darwin -- Python 3.6.5, pytest-3.5.0, py-1.5.3, pluggy-0.6.0 rootdir: /Users/grantj/repos/python-sortedcontainers, inifile: tox.ini plugins: cov-2.5.1, hypothesis-3.55.3 collected 357 items docs/introduction.rst . [ 0%] sortedcontainers/__init__.py . [ 0%] sortedcontainers/sorteddict.py ........... [ 3%] sortedcontainers/sortedlist.py ..................................... [ 14%] sortedcontainers/sortedset.py ................. [ 18%] tests/benchmark_splits_fill.py . [ 19%] tests/sortedcollection.py . [ 19%] tests/test_coverage_sorteddict.py ................................................... [ 33%] tests/test_coverage_sortedkeylist_modulo.py ................................................................... [ 52%] tests/test_coverage_sortedkeylist_negate.py ....................................................... [ 68%] tests/test_coverage_sortedlist.py .......................................................... [ 84%] tests/test_coverage_sortedset.py .................................................. [ 98%] tests/test_stress_sorteddict.py .. [ 98%] tests/test_stress_sortedkeylist.py . [ 99%] tests/test_stress_sortedlist.py . [ 99%] tests/test_stress_sortedset.py .. [100%] ---------- coverage: platform darwin, python 3.6.5-final-0 ----------- Name Stmts Miss Branch BrPart Cover Missing ---------------------------------------------------------------------------- sortedcontainers/__init__.py 10 0 0 0 100% sortedcontainers/sorteddict.py 159 0 40 0 100% sortedcontainers/sortedlist.py 1001 8 420 3 99% 34-39, 44-45, 33->34, 785->787, 1429->1437 sortedcontainers/sortedset.py 179 0 26 0 100% ---------------------------------------------------------------------------- TOTAL 1349 8 486 3 99% It's normal to see coverage a little less than 100%. Some code is specific to the Python runtime. Stress testing is also based on pytest but can be run independently as a module. Stress tests are kept in the tests directory and prefixed with test_stress. Stress tests accept two arguments: an iteration count and random seed value. For example, to run stress on the SortedList data type: :: $ python -m tests.test_stress_sortedlist 1000 0 Python sys.version_info(major=2, minor=7, micro=0, releaselevel='final', serial=0) Setting iterations to 1000 Setting seed to 0 Exiting after 0:00:00.846000 If stress exits normally then it worked successfully. Some stress is run by tox and pytest but the iteration count is limited at 1,000. More rigorous testing requires increasing the iteration count to millions. At that level, it's best to just let it run overnight. Stress testing will stop at the first failure. Running Benchmarks ------------------ Running and plotting benchmarks is a two step process. Each is a Python script in the tests directory. To run the benchmarks for :class:`SortedList`, plot the results, and save the resulting graphs, run: :: $ python -m tests.benchmark_sortedlist --bare > tests/results_sortedlist.txt $ python -m tests.benchmark_plot tests/results_sortedlist.txt SortedList --save Each script has a handful of useful arguments. Use ``--help`` to display those. Consult the source for details. The file `tests/benchmark_plot.py` contains notes about benchmarking different Python runtimes against each other. If you simply want to run the benchmarks to observe the performance on your local machine, then run: :: $ curl -OL https://github.com/grantjenks/python-sortedcontainers/zipball/master $ unzip master $ cd grantjenks-python-sortedcontainers-[GITHASH]/ $ export PYTHONPATH=`pwd` $ python -m tests.benchmark_sortedlist $ python -m tests.benchmark_sorteddict $ python -m tests.benchmark_sortedset The benchmarks will warn if some packages are not importable. This limits the possible comparisons. See `requirements.txt` for the package names than can be installed from PyPI. Tested Runtimes --------------- :doc:`Sorted Containers` actively tests against the following versions of Python: * CPython 2.7 * CPython 3.2 * CPython 3.3 * CPython 3.4 * CPython 3.5 * CPython 3.6 * CPython 3.7 * PyPy * PyPy3 Life will feel much saner if you use `venv`_ or `virtualenv`_ and `tox`_ to manage and test each of the runtimes. .. _`tox`: https://pypi.org/project/tox/ .. _`pytest-cov`: https://pypi.org/project/pytest-cov/ .. _`venv`: https://docs.python.org/3/library/venv.html .. _`virtualenv`: https://pypi.org/project/virtualenv/ python-sortedcontainers-2.1.0/docs/djangocon-2015-lightning-talk.rst000066400000000000000000000072361337542712000253560ustar00rootroot00000000000000DjangoCon 2015 Lightning Talk ============================= * `Accompanying Slides`_ Welcome. I'm excited to be here today. My name is Grant Jenks and I've been working with Python since about 2011. Like many of you, I was pleasantly surprised and impressed by Python's "batteries included" slogan. Not long into Python development, I started asking questions like these: * "How do you sort a Python dictionary by value?" * "How do I get the maximum value in a dictionary?" * "Can I somehow search a dictionary's keys?" These questions get viewed millions of times for every priority queue, or cache, or in-memory index, or even indexable set that somebody needs. In response, I got some great answers. The first was OrderedDict. But you quickly learn that ordered isn't the same as sorted. And then there was Counter. It gets combined with another module, heapq, which can maintain a binary heap. All of these were wonderfully fast except when they weren't. They all kind of assume that updates can be batched and sorted methods can work lazily. And that gets us really far. Really far. But sometimes you want more. So if C++ and Java and .NET all have sorted map-like data types, why doesn't Python? I found the answer from Nick Coghlan paraphrasing Guido: “if a user is sophisticated enough to realise that the builtin types aren't the right solution for their problem, then they're also up to the task of finding an appropriate third party library.” To that I say, good luck. If you go out there, you'll find over a dozen different solutions all with different APIs and varying levels of compatibility and performance. If we decided only by most-downloaded we'd end up with blist. So let's try that. Blist implements a B-tree data type in C with a node size of 128. And I was happy with it until one day I made this discovery. I'm surprised here because blist should shuffle 128 pointers while bisect should shuffle 1000 pointers. How can bisect be faster here? So I went back to the libraries and tried some others. RBtree uses Red-Black. Banyan has that too and a Splay option. Bintrees has Binary, Red-Black and AVL. All of those are implemented in C or C++. Then I discovered a Skip-list implementation that was slower but pure-Python. All I can say in five minutes is :doc:`Sorted Containers` doesn't use any of these exactly. It's kind of like a B-tree but only half-heartedly. It relies entirely on the bisect module. While it's slow to program in Python, the interpreter is written in C. So if you think of it as programming the interpreter, you're effectively writing C code. It turns out lists are fast; trees, not so much. Listen to what these smart people have to say about it: * Alex Martelli: Good stuff! ... I like the simple, effective implementation idea of splitting the sorted containers into smaller “fragments” to avoid the O(N) insertion costs. * Jeff Knupp: That last part, “fast as C-extensions,” was difficult to believe. I would need some sort of performance comparison to be convinced this is true. The author includes this in the docs. It is. * Kevin Samuel, I’m quite amazed, not just by the code quality, but the actual amount of work you put at stuff that is not code: documentation, benchmarking, implementation explanations. Lastly, Mark Summerfield makes a short plea: Python’s “batteries included” standard library seems to have a battery missing. And the argument that “we never had it before” has worn thin. It is time that Python offered a full range of collection classes out of the box, including sorted ones. Ladies and gentlemen, the :doc:`Sorted Containers` library. Thank you. .. _`Accompanying Slides`: http://bit.ly/socoin5 python-sortedcontainers-2.1.0/docs/history.rst000066400000000000000000000000341337542712000216030ustar00rootroot00000000000000.. include:: ../HISTORY.rst python-sortedcontainers-2.1.0/docs/implementation.rst000066400000000000000000000156071337542712000231430ustar00rootroot00000000000000Implementation Details ====================== The :doc:`Sorted Containers` internal implementation is based on a couple observations. The first is that Python's `list` is fast, *really fast*. Lists have great characteristics for memory management and random access. The second is that `bisect.insort` is fast. This is somewhat counter-intuitive since it involves shifting a series of items in a list. But modern processors do this really well. A lot of time has been spent optimizing mem-copy/mem-move-like operations both in hardware and software. But using only one list and `bisect.insort` would produce sluggish behavior for lengths exceeding ten thousand. So the implementation of :doc:`sortedlist` uses a list of lists to store elements. In this way, inserting or deleting is most often performed on a short list. Only rarely does a new list need to be added or deleted. :doc:`sortedlist` maintains three internal variables: `_lists`, `_maxes`, and `_index`. The first is simply the list of lists, each member is a sorted sublist of elements. The second contains the maximum element in each of the sublists. This is used for fast binary-search. The last maintains a tree of pair-wise sums of the lengths of the lists. Lists are kept balanced using the load factor. If a sublist's length exceeds double the load then it is split in two. Likewise at half the load it is combined with its neighbor. By default this factor is 1,000 which seems to work well for lengths up to ten million. Lengths above that are recommended a load factor that is the square root to cube root of the average length. (Although you will probably exhaust the memory of your machine before that point.) Experimentation is also recommended. A :doc:`load factor performance comparison` is also provided. For more in-depth analysis, read :doc:`performance-scale` which benchmarks :doc:`Sorted Containers` with ten billion elements. Finding an element is a two step process. First the `_maxes` list, also known as the "maxes" index, is bisected which yields the position of a sorted sublist. Then that sublist is bisected for the location of the element. Compared to tree-based implementations, using lists of lists has a few advantages based on memory usage. 1. Most insertion/deletion doesn't require allocating or freeing memory. This can be a big win as it takes a lot of strain off the garbage collector and memory system. 2. Pointers to elements are packed densely. A traditional tree-based implementation would require two pointers (left/right) to child nodes. Lists have no such overhead. This benefits the hardware's memory architecture and more efficiently utilizies caches. 3. The memory overhead per item is effectively a pointer to the item. Binary tree implementations must add at least two more pointers per item. 4. Iteration is extremely fast as sequentially indexing lists is a strength of modern processors. Traditional tree-based designs have better big-O notation but that ignores the realities of today's software and hardware. For a more in-depth analysis, read :doc:`Performance at Scale`. Indexing uses the `_index` list which operates as a tree of pair-wise sums of the lengths of the lists. The tree is maintained as a dense binary tree. It's easiest to explain with an example. Suppose `_lists` contains sublists with these lengths (in this example, we assume the load factor is 4):: list(map(len, _lists)) -> [3, 5, 4, 5, 6] Given these lengths, the first row in the index is the pair-wise sums:: [8, 9, 6, 0] We pad the first row with zeros to make its length a power of 2. The next rows of sums work similarly:: [17, 6] [23] Then all the rows are concatenated in reverse order so that the index is finally:: [23, 17, 6, 8, 9, 6, 0, 3, 5, 4, 5, 6] With this list, we can efficiently compute the index of an item in a sublist and, vice-versa, find an item given an index. Details of the algorithms to do so are contained in the docstring for `SortedList._loc` and `SortedList._pos`. For example, indexing requires traversing the tree to a leaf node. Each node has two children which are easily computable. Given an index, `pos`, the left-child is at ``pos * 2 + 1`` and the right-child is at ``pos * 2 + 2``. When the index is less than the left-child, traversal moves to the left sub-tree. Otherwise, the index is decremented by the left-child and traversal moves to the right sub-tree. At a leaf node, the indexing pair is computed from the relative position of the node as compared with the offset and the remaining index. For example, given the following index:: _index = 14 5 9 3 2 4 5 _offset = 3 Tree: 14 5 9 3 2 4 5 Indexing position 8 involves iterating like so: 1. Starting at the root, position 0, 8 is compared with the left-child node (5) which it is greater than. When greater, the index is decremented and the position is updated to the right child node. 2. At node 9 with index 3, we again compare the index to the left-child node with value 4. Because the index is the less than the left-child node, we simply traverse to the left. 3. At node 4 with index 3, we recognize that we are at a leaf node and stop iterating. 4. To compute the sublist index, we subtract the offset from the index of the leaf node: ``5 - 3 = 2``. To compute the index in the sublist, we simply use the index remaining from iteration. In this case, 3. The final index pair from our example is (2, 3) which corresponds to index 8 in the sorted list. Maintaining the position index in this way has several advantages: * It's easy to traverse to children/parent. The children of a position in the `_index` are at ``(pos * 2) + 1`` and ``(pos * 2) + 2``. The parent is at ``(pos - 1) // 2``. We can even identify left/right-children easily. Each left-child is at an odd index and each right-child is at an even index. * It's not built unless needed. If no indexing occurs, the memory and time accounting for position is skipped. * It's fast to build. Calculating sums pair-wise and concatenating lists can all be done within C-routines in the Python interpreter. * It's space efficient. The whole index is no more than twice the size of the length of the `_lists` and contains only integers. * It's easy to update. Adding or removing an item involves incrementing or decrementing only ``log2(len(_index))`` items in the index. The only caveat to this is when a new sublist is created/deleted. In those scenarios the entire index is deleted and not rebuilt until needed. The construction and maintenance of the positional index is unusual compared to other traditional designs. Whether the design is novel, I (Grant Jenks) do not know. Until shown otherwise, I would like to refer to it as the "Jenks" index. Each sorted container has a function named `_check` for verifying consistency. This function details the data-type invariants. python-sortedcontainers-2.1.0/docs/index.rst000066400000000000000000000005271337542712000212200ustar00rootroot00000000000000.. include:: ../README.rst .. toctree:: :hidden: introduction performance performance-load performance-runtime performance-workload implementation performance-scale development history sortedlist sorteddict sortedset pycon-2016-talk sf-python-2015-lightning-talk djangocon-2015-lightning-talk python-sortedcontainers-2.1.0/docs/introduction.rst000066400000000000000000000724151337542712000226370ustar00rootroot00000000000000Sorted Containers Introduction ============================== .. currentmodule:: sortedcontainers .. contents:: :local: Installation ------------ The first step to using any software library is getting it properly installed. There are several ways to install :doc:`Sorted Containers`. The recommended way to install :doc:`Sorted Containers` is using the `pip`_ command:: $ python3 -m pip install sortedcontainers You may also choose instead to use the newer `pipenv`_ command:: $ pipenv install sortedcontainers These commands will install the latest version of :doc:`Sorted Containers` from the `Python Package Index`_. :doc:`Sorted Containers` is actively developed on GitHub, where the code is `open source`_. You may choose to install directly from the source repository. First, you will need a copy of the sources. The recommended way to get a copy of the source repository is to clone the repository from GitHub:: $ git clone git://github.com/grantjenks/python-sortedcontainers.git You may also choose instead to download the `Sorted Containers tarball`_ or download the `Sorted Containers zipball`_. Once you have a copy of the sources, you can embed it in your Python package, or install it into your site-packages using the command:: $ python3 setup.py install :doc:`Sorted Containers` is available in Debian distributions as `python3-sortedcontainers` and `python-sortedcontainers`. :doc:`Sorted Containers` is looking for a CentOS/RPM package maintainer. If you can help, please open an issue in the `Sorted Containers Issue Tracker`_. .. _`pip`: https://pypi.org/project/pip/ .. _`pipenv`: https://pypi.org/project/pipenv/ .. _`Python Package Index`: https://pypi.org/project/sortedcontainers/ .. _`open source`: https://github.com/grantjenks/python-sortedcontainers .. _`Sorted Containers tarball`: https://github.com/grantjenks/python-sortedcontainers/tarball/master .. _`Sorted Containers zipball`: https://github.com/grantjenks/python-sortedcontainers/zipball/master .. _`Sorted Containers Issue Tracker`: https://github.com/grantjenks/python-sortedcontainers/issues Sorted List ----------- At the core of :doc:`Sorted Containers` is the mutable sequence data type :class:`SortedList`. The :class:`SortedList` maintains its values in ascending sort order. As with Python's built-in list data type, :class:`SortedList` supports duplicate elements and fast random-access indexing. >>> from sortedcontainers import SortedList >>> sl = SortedList() Values may be added to a :class:`SortedList` using either :func:`SortedList.update` or :func:`SortedList.add`. When doing so, the list remains sorted. >>> sl.update([5, 1, 3, 4, 2]) >>> sl SortedList([1, 2, 3, 4, 5]) >>> sl.add(0) >>> sl SortedList([0, 1, 2, 3, 4, 5]) Several methods may be used to remove elements by value or by index. The methods :func:`SortedList.discard` and :func:`SortedList.remove` remove elements by value. And the methods :func:`SortedList.pop` and :func:`SortedList.__delitem__` remove elements by index. All values may be removed using :func:`SortedList.clear`. >>> sl.remove(0) >>> sl.discard(1) >>> sl SortedList([2, 3, 4, 5]) >>> sl.pop() 5 >>> del sl[1] >>> sl SortedList([2, 4]) >>> sl.clear() Because :class:`SortedList` is sorted, it supports efficient lookups by value or by index. When accessing values by index, the :class:`SortedList` can be used as an `order statistic tree`_. Rather than performing a linear scan, values can be found in logarithmic time by repeatedly bisecting the internal tree structure. Methods for looking up values are :func:`SortedList.__contains__`, :func:`SortedList.count`, :func:`SortedList.index`, :func:`SortedList.bisect_left`, :func:`SortedList.bisect_right`, and :func:`SortedList.__getitem__`. >>> sl = SortedList('abbcccddddeeeee') >>> 'f' in sl False >>> sl.count('e') 5 >>> sl.index('c') 3 >>> sl[3] 'c' >>> sl.bisect_left('d') 6 >>> sl.bisect_right('d') 10 >>> sl[6:10] ['d', 'd', 'd', 'd'] Several methods can be used to iterate values in a :class:`SortedList`. There are the typical sequence iterators: :func:`SortedList.__iter__` and :func:`SortedList.__reversed__`. There are also methods for iterating by value or by index using :func:`SortedList.irange` and :func:`SortedList.islice`. These methods produce iterators that are faster than repeatedly indexing the :class:`SortedList`. >>> sl = SortedList('acegi') >>> list(iter(sl)) ['a', 'c', 'e', 'g', 'i'] >>> list(reversed(sl)) ['i', 'g', 'e', 'c', 'a'] >>> list(sl.irange('b', 'h')) ['c', 'e', 'g'] >>> list(sl.islice(1, 4)) ['c', 'e', 'g'] A :class:`SortedList` also supports the typical sequence operators :func:`SortedList.__add__` and :func:`SortedList.__mul__` as well as their in-place counterparts. >>> sl = SortedList('abc') >>> sl + sl SortedList(['a', 'a', 'b', 'b', 'c', 'c']) >>> sl * 3 SortedList(['a', 'a', 'a', 'b', 'b', 'b', 'c', 'c', 'c']) >>> sl += 'de' >>> sl SortedList(['a', 'b', 'c', 'd', 'e']) >>> sl *= 2 >>> sl SortedList(['a', 'a', 'b', 'b', 'c', 'c', 'd', 'd', 'e', 'e']) Although :class:`SortedList` implements most of the mutable sequence methods, there are five which are not implemented. Each of these methods assigns a value at an index which is not supported by :class:`SortedList`. >>> sl = SortedList('abcde') >>> sl[2] = 'c' Traceback (most recent call last): ... NotImplementedError: use ``del sl[index]`` and ``sl.add(value)`` instead >>> sl.reverse() Traceback (most recent call last): ... NotImplementedError: use ``reversed(sl)`` instead >>> sl.append('f') Traceback (most recent call last): ... NotImplementedError: use ``sl.add(value)`` instead >>> sl.extend(['f', 'g', 'h']) Traceback (most recent call last): ... NotImplementedError: use ``sl.update(values)`` instead >>> sl.insert(5, 'f') Traceback (most recent call last): ... NotImplementedError: use ``sl.add(value)`` instead Comparison with :class:`SortedList` uses lexicographical ordering as with other sequence types. Refer to the :doc:`Sorted List documentation` for additional parameters, more examples, and descriptions of runtime complexity. .. _`order statistic tree`: https://en.wikipedia.org/wiki/Order_statistic_tree Sorted-key List --------------- The :doc:`Sorted Containers` project also maintains a specialized sorted-list-like type that accepts a key-parameter as found in Python's built-in `sorted` function. :class:`SortedKeyList` provides the same functionality as :class:`SortedList` but maintains the order of contained values based on the applied key-function. This simplifies the pattern of boxing and un-boxing which would otherwise be required. >>> from operator import neg >>> from sortedcontainers import SortedKeyList >>> skl = SortedKeyList(key=neg) The key function extracts a comparison key for ordering items in the list. In our example above we apply the negation operator. In the example above, a sorted list of integers would be ordered in descending sort order. You can also construct a :class:`SortedKeyList` using the :class:`SortedList` type by passing a key-function to the initializer. >>> from sortedcontainers import SortedList >>> values = SortedList([1, 2, 3, 4, 5], key=neg) >>> values SortedKeyList([5, 4, 3, 2, 1], key=) >>> isinstance(values, SortedList) True >>> issubclass(SortedKeyList, SortedList) True >>> values.key :class:`SortedKeyList` adds three additional methods to the :class:`SortedList` type. They are :func:`SortedKeyList.bisect_key_left`, :func:`SortedKeyList.bisect_key_right`, and :func:`SortedKeyList.irange_key`. Each of these methods accepts the key rather than the value for its :class:`SortedList` counterpart. >>> skl = SortedKeyList([1, 2, 3, 4, 5], key=neg) >>> skl SortedKeyList([5, 4, 3, 2, 1], key=) >>> skl.bisect_key_left(-4.5) 1 >>> skl.bisect_key_right(-1.5) 4 >>> list(skl.irange_key(-4.5, -1.5)) [4, 3, 2] Refer to the :doc:`Sorted List documentation` for additional parameters, more examples, and descriptions of runtime complexity. Caveats ------- :doc:`Sorted Containers` data types have three requirements: 1. The comparison value or key must have a `total ordering`_. 2. The comparison value or key must not change while the value is stored in the sorted container. 3. If the key-function parameter is used, then equal values must have equal keys. If any of these three requirements are violated then the warranty of :doc:`Sorted Containers` is void and it will not behave correctly. While it may be possible to design useful data types that do not have these requirements, these are the caveats of :doc:`Sorted Containers` and they match those of :doc:`alternative implementations`. Each of these requirements allow for optimizations and together they are an attempt to find the right tradeoff between functionality and performance. Let's look at some examples of what works and what doesn't. In Python, all objects inherit from ``object`` which provides a default implementation of equality. In pseudocode, the object type looks something like: >>> class Object: ... def __eq__(self, other): ... return id(self) == id(other) The default implementation defines equality in terms of identity. Note that `Object` does not define comparison methods like less-than or greater-than. While Python objects are comparable by default in Python 2, the feature was removed in Python 3. Instances of `object` can *not* be stored in a :class:`SortedList`. We can extend this example by creating our own `Record` data type with `name` and `rank` attributes. >>> class Record(object): ... def __init__(self, name, rank): ... self.name = name ... self.rank = rank ... def __eq__(self, other): ... return self.name == other.name The `Record` type defines equality in terms of its `name` attribute which may be thought of as a record identifier. Each `Record` also has a `rank` which would be useful for ranking records in sorted order. The `Record` type does not define comparison operators and so can *not* be stored in a :class:`SortedList`. >>> alice1 = Record('alice', 1) >>> bob2 = Record('bob', 2) >>> carol3 = Record('carol', 3) Since the `rank` attribute is intended for ordering records, the key-function presents a tempting but invalid use for ordering records:: >>> get_rank = lambda record: record.rank >>> sl = SortedList([alice1, bob2, carol3], key=get_rank) Although the sorted list now appears to work, the requirements have been invalidated. Specifically #3, since it is now possible for equal values to have inequal keys:: >>> bob4 = Record('bob', 4) >>> bob2 == bob4 # Equal values. True >>> get_rank(bob2) == get_rank(bob4) False >>> # ^-- Equal values should have equal keys. >>> bob4 in sl # <-- Here's the problem. BAD! False In the example above, `bob4` can not be found in `sl` because although `bob2` and `bob4` are equal, the corresponding keys are not equal. The mistake is a bit easier to see without the key-function. The key-function defined comparisons between records like so:: >>> class Record(object): ... def __init__(self, name, rank): ... self.name = name ... self.rank = rank ... def __eq__(self, other): ... return self.name == other.name ... def __lt__(self, other): ... return self.rank < other.rank Written as above, equality between objects is more clearly seen as unrelated to ordering between objects. This is the most common mistake made when using :doc:`Sorted Containers`. The `Record` type now also violates requirement #1 because equal instances can also be strictly less than each other:: >>> bob2 = Record('bob', 2) >>> bob4 = Record('bob', 4) >>> bob2 == bob4 True >>> bob2 < bob4 # <-- Here's the problem. BAD! True In the above example, `bob2` and `bob4` are equal to each other while `bob2` is also strictly less than `bob4`. The `Record` type therefore does not have a `total ordering`_. In pseudocode the three requirements for a `total ordering`_ are: I. If ``a <= b and b <= a`` then ``a == b``. II. And if ``a <= b and b <= c`` then ``a <= c``. III. And ``a <= b or b <= a``. Intuitively, a `total ordering`_ is best understood through integer and string types. Each of these common types defines a `total ordering`_ and can be used for comparisons in :doc:`Sorted Containers`. Of the built-in types in Python, these have a `total ordering`_: 1. Integers 2. Strings and bytes. 3. All foating-point numbers except ``float('nan')``. 4. Sequences like `list` and `tuple` of values with a total ordering. There are also some built-in Python types and values which lack a total ordering: 1. Sets and frozensets (not a total ordering). 2. ``float('nan')`` (not a total ordering). 3. Mapping types (not comparable, changed in Python 3). The best way to fix the `Record` type is to define equality and comparison in terms of the same fields. >>> class Record(object): ... def __init__(self, name, rank): ... self.name = name ... self.rank = rank ... def _cmp_key(self): ... return (self.rank, self.name) ... def __eq__(self, other): ... return self._cmp_key() == other._cmp_key() ... def __lt__(self, other): ... return self._cmp_key() < other._cmp_key() The example above uses a comparison-key method named `_cmp_key` and the lexicographical ordering semantics of tuples to define equality and comparison in terms of the `rank` and `name` fields. It would also be possible to omit the `Record.__lt__` method and instead use a key-function which called `record._cmp_key()`. But the key-function will take more memory and be slower as it uses a :class:`SortedKeyList` which stores a reference to the key for every value. The `Record` example above is complicated by equality defined as those objects with equal names. When using equality inherited from `object`, that is, defined in terms of instance identity, the situation is simplified. For example: >>> class Record(object): ... def __init__(self, name, rank): ... self.name = name ... self.rank = rank ... def __lt__(self, other): ... return self.rank < other.rank The `Record` type now can be stored in :class:`SortedList` because equality based on instance identity guarantees the `rank` attributes are equal so long as its value has a `total ordering`_. >>> alice1 = Record('alice', 1) >>> bob2 = Record('bob', 2) >>> carol3 = Record('carol', 3) >>> bob4 = Record('bob', 4) >>> bob2 != bob4 # <-- Different instances, so unequal. GOOD! True >>> sl = SortedList([alice1, bob2, carol3, bob4]) >>> bob2 in sl True >>> bob4 in sl True The above example displays that all three requirements are followed: 1. The comparison key, `rank`, is an integer, which has a `total ordering`_. 2. The comparison key does not change while the value is stored in the sorted container. 3. Equal `Record` instances have equal `rank` attributes based on instance identity. These examples can be summarized in two pieces of advice: 1. If the data type defines its own equality, that is ``__eq__``, then make sure the comparison methods or key-function define a `total ordering`_ and equal values have equal comparison keys. 2. If the data type does not define equality then it inherits equality from `object` and uses instance identity. Compare objects using comparison methods like ``__lt__`` or the key-function. The compared values must have a `total ordering`_. Another invalid use case of :class:`SortedKeyList` occurs when the key-function returns a different comparison key for a given value while the value is stored in the sorted container. >>> from random import random >>> key_func = lambda value: random() >>> sl = SortedList([1, 2, 3, 4, 5], key=key_func) >>> # ^-- Corrupt sorted list. >>> 3 in sl False >>> key_func(1) == key_func(1) # <-- Here's the problem. BAD! False The example above violates two requirements of sorted lists: equal values must have equal keys and the key function must return the same key for the given value while the value is stored in the sorted container. The `random` key-function does not reliably return the same key for a given value. The order of values in a sorted container can be made arbitrary and reliable by changing the key-function like so: >>> from random import seed >>> def key_func(value): ... "Key-function for arbitrary but reliable order." ... seed(value) ... return random() Another way the problem above manifests itself is when the comparison key of an object is mutated while the object is stored in the :class:`SortedList`. Using the `Record` definition from above: >>> class Record(object): ... def __init__(self, name, rank): ... self.name = name ... self.rank = rank ... def __lt__(self, other): ... return self.rank < other.rank >>> alice1 = Record('alice', 1) >>> bob2 = Record('bob', 2) >>> carol3 = Record('carol', 3) >>> sl = SortedList([alice1, bob2, carol3]) >>> bob2 in sl True Python objects are typically mutable so while the above example works and is correct, there's nothing preventing a modification to the `rank` of a `Record`. If the `rank` is modified while the `Record` instance is stored in the :class:`SortedList`, then the container is corrupted. >>> bob2.rank = 20 # <-- Here's the problem. BAD! >>> bob2 in sl False The `Record` instance `bob2` can no longer be found in the :class:`SortedList` because modifying the `rank` changed its sort order position without updating its position in `sl`. To modify the sorted order position, :func:`remove ` the value, update it, and then :func:`add ` the value back again. Similar limitations also apply to Python's `dict` data type which can be corrupted by modifying the hash of a key while the item is stored in the `dict`. The hashing protocol also requires that equal keys have equal hashes. One final caveat: indexing a sorted list is fast but not as fast as indexing Python's built-in list data type. The runtime complexity for indexing a sorted list is `O(log(n))` while it is `O(1)` for Python's built-in list data type. Indexing a sorted list requires building and maintaining a positional index which is not built if not necessary. The index is fast and light on memory overhead but avoid positional indexing if able. Indexing at the front or back, indexes like `0` and `-1`, is optimized and will not require the positional index. .. _`total ordering`: https://en.wikipedia.org/wiki/Total_order Sorted Dict ----------- Built atop Python's built-in `dict` data type and :class:`SortedList` is the mutable mapping data type :class:`SortedDict`. Sorted dict keys are maintained in sorted order. The design of :class:`SortedDict` is simple: sorted dict inherits from `dict` to store items and maintains a sorted list of keys. :class:`SortedDict` keys must be hashable and comparable. The hash and total ordering of keys must not change while they are stored in the :class:`SortedDict`. >>> from sortedcontainers import SortedDict >>> sd = SortedDict() Items may be added to a :class:`SortedDict` using :func:`SortedDict.__setitem__`, :func:`SortedDict.update` or :func:`SortedDict.setdefault`. When doing so, the keys remain sorted. >>> sd['e'] = 5 >>> sd['b'] = 2 >>> sd SortedDict({'b': 2, 'e': 5}) >>> sd.update({'d': 4, 'c': 3}) >>> sd SortedDict({'b': 2, 'c': 3, 'd': 4, 'e': 5}) >>> sd.setdefault('a', 1) 1 >>> sd SortedDict({'a': 1, 'b': 2, 'c': 3, 'd': 4, 'e': 5}) Several methods may be used to remove items by key or by index. The methods :func:`SortedDict.__delitem__` and :func:`SortedDict.pop` remove items by key. And the method :func:`SortedDict.popitem` removes items by index. >>> del sd['d'] >>> sd.pop('c') 3 >>> sd.popitem(index=-1) ('e', 5) >>> sd SortedDict({'a': 1, 'b': 2}) Because :class:`SortedDict` uses both `dict` and :class:`SortedList`, there are many methods for looking up keys from each type. The mapping interface supports :func:`SortedDict.__getitem__`, :func:`SortedDict.__contains__`, :func:`SortedDict.get`, and :func:`SortedDict.peekitem`. >>> sd['b'] 2 >>> 'c' in sd False >>> sd.get('z') is None True >>> sd.peekitem(index=-1) ('b', 2) The sequence interface supports the same lookup methods as those provided by :class:`SortedList`. >>> sd.bisect_right('b') 2 >>> sd.index('a') 0 >>> list(sd.irange('a', 'z')) ['a', 'b'] The keys, items, and values views also support both set semantics and sequence semantics with optimized methods for lookups by index. >>> keys = sd.keys() >>> keys[0] 'a' >>> items = sd.items() >>> items[-1] ('b', 2) >>> values = sd.values() >>> values[:] [1, 2] The :class:`SortedDict` initializer supports one additional position argument. The positional argument must come before any sequences, mappings, or keyword arguments used to initialize the items in a :class:`SortedDict`. The first positional argument is an optional callable key-function used to extract a comparison key from the keys of the :class:`SortedDict`. For example, to construct a :class:`SortedDict` with integer keys in descending order: >>> sd = SortedDict(neg, enumerate('abc', start=1)) >>> sd SortedDict(, {3: 'c', 2: 'b', 1: 'a'}) >>> keys = sd.keys() >>> list(keys) [3, 2, 1] Because :class:`SortedDict` inherits from `dict`, the `__missing__` method can be used to give missing keys a default value. Customizing the `__missing__` method creates a kind of `defaultdict` like that in the `collections` module. >>> class DefaultSortedDict(SortedDict): ... def __missing__(self, key): ... return 0 >>> dsd = DefaultSortedDict() >>> dsd['z'] 0 Refer to the :doc:`Sorted Dict documentation` for additional parameters, more examples, and descriptions of runtime complexity. Sorted Set ---------- Standing on the shoulder's of Python's built-in `set` data type and :class:`SortedList` is the mutable set data type :class:`SortedSet`. Sorted set values are maintained in sorted order. The design of :class:`SortedSet` is simple: sorted set uses Python's built-in `set` for set-operations and maintains a sorted list of values. Values stored in a :class:`SortedSet` must be hashable and comparable. The hash and total ordering of values must not change while they are stored in the :class:`SortedSet`. >>> from sortedcontainers import SortedSet >>> ss = SortedSet() :class:`SortedSet` implements optimized versions of the core mutable set methods: :func:`SortedSet.__contains__`, :func:`SortedSet.add`, :func:`SortedSet.update`, :func:`SortedSet.discard`, and the more strict :func:`SortedSet.remove`. >>> ss.add('c') >>> ss.add('a') >>> ss.add('b') >>> ss SortedSet(['a', 'b', 'c']) >>> 'c' in ss True >>> ss.discard('a') >>> ss.remove('b') >>> _ = ss.update('def') >>> ss SortedSet(['c', 'd', 'e', 'f']) :class:`SortedSet` also behaves like a sequence with :func:`SortedSet.__getitem__` and :func:`SortedSet.__reversed__` methods. And includes the mutable sequence methods :func:`SortedSet.__delitem__` and :func:`SortedSet.pop`. >>> ss[0] 'c' >>> list(reversed(ss)) ['f', 'e', 'd', 'c'] >>> del ss[0] >>> ss.pop(index=-1) 'f' >>> ss SortedSet(['d', 'e']) Set-operation methods like :func:`SortedSet.difference`, :func:`SortedSet.intersection`, :func:`SortedSet.symmetric_difference`, and :func:`SortedSet.union`, as well as their in-place counterparts and operators are all supported. >>> abcd = SortedSet('abcd') >>> cdef = SortedSet('cdef') >>> abcd.difference(cdef) SortedSet(['a', 'b']) >>> abcd.intersection(cdef) SortedSet(['c', 'd']) >>> abcd.symmetric_difference(cdef) SortedSet(['a', 'b', 'e', 'f']) >>> abcd.union(cdef) SortedSet(['a', 'b', 'c', 'd', 'e', 'f']) >>> abcd | cdef SortedSet(['a', 'b', 'c', 'd', 'e', 'f']) >>> abcd |= cdef >>> abcd SortedSet(['a', 'b', 'c', 'd', 'e', 'f']) Several :class:`SortedList` methods are also exposed on :class:`SortedSet` objects like :func:`SortedList.bisect`, :func:`SortedList.index`, :func:`SortedList.irange`, and :func:`SortedList.islice` just as with :class:`SortedDict`. >>> ss = SortedSet('abcdef') >>> ss.bisect('d') 4 >>> ss.index('f') 5 >>> list(ss.irange('b', 'e')) ['b', 'c', 'd', 'e'] >>> list(ss.islice(-3)) ['d', 'e', 'f'] Like :class:`SortedList` an additional `key` parameter can be used to initialize the :class:`SortedSet` with a callable which is used to extract a comparison key. >>> ss = SortedSet([1, 2, 3], key=neg) >>> ss SortedSet([3, 2, 1], key=) Sorted set comparisons use subset and superset relations. Two sorted sets are equal if and only if every element of each sorted set is contained in the other (each is a subset of the other). A sorted set is less than another sorted set if and only if the first sorted set is a proper subset of the second sorted set (is a subset, but is not equal). A sorted set is greater than another sorted set if and only if the first sorted set is a proper superset of the second sorted set (is a superset, but is not equal). The comparison semantics of sorted sets do not define a total ordering. Refer to the :doc:`Sorted Set documentation` for additional parameters, more examples, and descriptions of runtime complexity. Migrating --------- The :doc:`performance comparison` page documents several alternative implementations of the sorted types described. Some of those projects have deprecated themselves and now recommend :doc:`Sorted Containers` instead. When migrating from other projects, there are a couple of things to keep in mind. :doc:`Sorted Containers` went through a major version change between version one and version two. The goal of the change was to adopt Python 3 semantics wherever possible: 1. Several :class:`SortedList` methods now raise :exc:`NotImplementedError`: :func:`SortedList.__setitem__`, :func:`SortedList.append`, and :func:`SortedList.extend`. Use :func:`SortedList.add` or :func:`SortedList.update` instead. 2. :class:`SortedDict` has adopted the Python 3 semantics of `dict` views as the default. The :func:`SortedDict.keys`, :func:`SortedDict.items`, and :func:`SortedDict.values` methods now return views with support for optimized indexing. The view objects also implement set and sequence protocol methods. Prefer using the :class:`SortedDict` methods directly for better performance. 3. Some type and parameter names were changed. `SortedListWithKey` was renamed to `SortedKeyList` but an alias remains for compatibility. Several methods which accepted a `val` parameter now accept `value` for better readability. The :doc:`history` documents all the changes made in every version in the history of the project. The :ref:`Version 2` release notes detail all the changes made. The `blist`_ project remains the most similar as its API was the original inspiration for :doc:`Sorted Containers`. The main difference has always been the :func:`SortedList.pop` method. The `blist`_ project pops the first element by default while :doc:`Sorted Containers` pops the last element and matches the API of Python's built-in `list` data type. The sorted dict data type in `blist`_ also continues to use the old Python 2 semantics for `dict` views. The `bintrees`_ project now recommends using :doc:`Sorted Containers` instead and has stopped development. The API differs significantly but the supported functionality is the same. The `Tree` object in `bintrees`_ is most similar to :class:`SortedDict`. All of the mapping methods and set methods are available using either :class:`SortedDict` or :class:`SortedKeysView`. The slicing methods and previous/successor iterator methods correspond to :func:`SortedDict.irange` and the heap methods correspond to indexing with views like :func:`SortedKeysView.__getitem__`. The `banyan`_ project has data types similar to :class:`SortedDict` and :class:`SortedSet`. Most methods have a direct counterpart in :doc:`Sorted Containers`. But the frozen sorted dict and frozen sorted set data types have no direct comparison. The functionality of hashing can be implemented by inheriting and defining the `__hash__` method. Do so with care, because the instance is still mutable. The `banyan`_ project also supports tree augmentation which can be useful in implementing interval trees or segment trees. There is no support for tree argumentation in :doc:`Sorted Containers`. .. _`blist`: https://pypi.org/project/blist/ .. _`bintrees`: https://pypi.org/project/bintrees/ .. _`banyan`: https://pypi.org/project/Banyan/ python-sortedcontainers-2.1.0/docs/make.bat000066400000000000000000000014641337542712000207650ustar00rootroot00000000000000@ECHO OFF pushd %~dp0 REM Command file for Sphinx documentation if "%SPHINXBUILD%" == "" ( set SPHINXBUILD=sphinx-build ) set SOURCEDIR=. set BUILDDIR=_build set SPHINXPROJ=SortedContainers if "%1" == "" goto help %SPHINXBUILD% >NUL 2>NUL if errorlevel 9009 ( echo. echo.The 'sphinx-build' command was not found. Make sure you have Sphinx echo.installed, then set the SPHINXBUILD environment variable to point echo.to the full path of the 'sphinx-build' executable. Alternatively you echo.may add the Sphinx directory to PATH. echo. echo.If you don't have Sphinx installed, grab it from echo.http://sphinx-doc.org/ exit /b 1 ) %SPHINXBUILD% -M %1 %SOURCEDIR% %BUILDDIR% %SPHINXOPTS% goto end :help %SPHINXBUILD% -M help %SOURCEDIR% %BUILDDIR% %SPHINXOPTS% :end popd python-sortedcontainers-2.1.0/docs/performance-load.rst000066400000000000000000000243371337542712000233340ustar00rootroot00000000000000Load Factor Performance Comparison ================================== :doc:`Sorted Containers` uses a segmented-list data structure similar to a B-tree limited to two levels of nodes. As part of the implementation, a load factor is used to determine how many values should be stored in each node. This page compares three load factors on containers with as many as ten of million elements. No single load factor is universally superior. The best load factor for your purposes will depend on your usage pattern. Originally, :doc:`Sorted Containers` used a load factor of 100 but that changed in release 0.8.5 to 1,000 due to the :ref:`SortedList.__delitem__` benchmark which was dramatically impacted. Most benchmarks perform slightly better with a load factor of 100 but each is competitive with alternate loads. For an in-depth analysis of the load factor read :doc:`Performance at Scale`. Performance of competing implementations are benchmarked against the CPython 3.7 runtime. An :doc:`implementation performance comparison` is also included with data from popular sorted collections packages. Because :doc:`Sorted Containers` is pure-Python, its performance also depends directly on the Python runtime. A :doc:`runtime performance comparison` is also included with data from popular Python runtimes. Though these benchmarks exercise only one API repeatedly, an effort has also been made to simulate real-world workloads. The :doc:`simulated workload performance comparison` contains examples with comparisons to other implementations, load factors, and runtimes. .. currentmodule:: sortedcontainers Sorted List ----------- Graphs comparing :doc:`sortedlist` performance. __init__ ........ Initializing with a list of random numbers using :func:`SortedList.__init__`. .. image:: _static/SortedList_load-init.png add ... Randomly adding values using :func:`SortedList.add`. .. image:: _static/SortedList_load-add.png contains ........ Randomly testing membership using :func:`SortedList.__contains__`. .. image:: _static/SortedList_load-contains.png count ..... Counting objects at random using :func:`SortedList.count`. .. image:: _static/SortedList_load-count.png __delitem__ ........... .. _SortedList.delitem: Deleting objects at random using :func:`SortedList.__delitem__`. .. image:: _static/SortedList_load-delitem.png __getitem__ ........... Retrieving ojbects by index using :func:`SortedList.__getitem__`. .. image:: _static/SortedList_load-getitem.png index ..... Finding the index of an object using :func:`SortedList.index`. .. image:: _static/SortedList_load-index.png iter .... Iterating a SortedList using :func:`SortedList.__iter__`. .. image:: _static/SortedList_load-iter.png pop ... Removing the last object using :func:`SortedList.pop`. .. image:: _static/SortedList_load-pop.png remove ...... Remove an object at random using :func:`SortedList.remove`. .. image:: _static/SortedList_load-remove.png update_large ............ Updating a SortedList with a large iterable using :func:`SortedList.update`. .. image:: _static/SortedList_load-update_large.png update_small ............ Updating a SortedList with a small iterable using :func:`SortedList.update`. .. image:: _static/SortedList_load-update_small.png Sorted Dict ----------- Graphs comparing :doc:`sorteddict` performance. __init__ ........ Initializing with a list of pairs of random numbers using :func:`SortedDict.__init__`. .. image:: _static/SortedDict_load-init.png __contains__ ............ Given a key at random, test whether the key is in the dictionary using :func:`SortedDict.__contains__`. .. image:: _static/SortedDict_load-contains.png __getitem__ ........... Given a key at random, retrieve the value using :func:`SortedDict.__getitem__`. .. image:: _static/SortedDict_load-getitem.png __setitem__ ........... Given a key at random, set the value using :func:`SortedDict.__setitem__`. .. image:: _static/SortedDict_load-setitem.png __delitem__ ........... Given a key at random, delete the value using :func:`SortedDict.__delitem__`. .. image:: _static/SortedDict_load-delitem.png iter .... Iterate the keys of a SortedDict using :func:`SortedDict.__iter__`. .. image:: _static/SortedDict_load-iter.png setitem_existing ................ Given an existing key at random, set the value using :func:`SortedDict.__setitem__`. .. image:: _static/SortedDict_load-setitem_existing.png Sorted Set ---------- Graphs comparing :doc:`sortedset` performance. __init__ ........ Initializing with a list of random numbers using :func:`SortedSet.__init__`. .. image:: _static/SortedSet_load-init.png add ... Randomly add values using :func:`SortedSet.add`. .. image:: _static/SortedSet_load-add.png contains ........ Randomly test membership using :func:`SortedSet.__contains__`. .. image:: _static/SortedSet_load-contains.png difference_large ................ Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_load-difference_large.png difference_medium ................. Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_load-difference_medium.png difference_small ................ Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_load-difference_small.png difference_tiny ............... Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_load-difference_tiny.png difference_update_large ....................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_load-difference_update_large.png difference_update_medium ........................ Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_load-difference_update_medium.png difference_update_small ....................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_load-difference_update_small.png difference_update_tiny ...................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_load-difference_update_tiny.png intersection_large .................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_load-intersection_large.png intersection_medium ................... Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_load-intersection_medium.png intersection_small .................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_load-intersection_small.png intersection_tiny ................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_load-intersection_tiny.png intersection_update_large ......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_load-intersection_update_large.png intersection_update_medium .......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_load-intersection_update_medium.png intersection_update_small ......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_load-intersection_update_small.png intersection_update_tiny ........................ Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_load-intersection_update_tiny.png iter .... Iterating a set using :func:`iter(SortedSet)`. .. image:: _static/SortedSet_load-iter.png pop ... Remove the last item in a set using :func:`SortedSet.pop`. .. image:: _static/SortedSet_load-pop.png remove ...... Remove an item at random using :func:`SortedSet.remove`. .. image:: _static/SortedSet_load-remove.png union_large ........... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_load-union_large.png union_medium ............ Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_load-union_medium.png union_small ........... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_load-union_small.png union_tiny .......... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_load-union_tiny.png update_large ............ Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_load-update_large.png update_medium ............. Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_load-update_medium.png update_small ............ Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_load-update_small.png update_tiny ........... Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_load-update_tiny.png symmetric_difference_large .......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_load-symmetric_difference_large.png symmetric_difference_medium ........................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_load-symmetric_difference_medium.png symmetric_difference_small .......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_load-symmetric_difference_small.png symmetric_difference_tiny ......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_load-symmetric_difference_tiny.png symm_diff_update_large ...................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_load-symmetric_difference_update_large.png symm_diff_update_medium ....................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_load-symmetric_difference_update_medium.png symm_diff_update_small ...................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_load-symmetric_difference_update_small.png symm_diff_update_tiny ..................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_load-symmetric_difference_update_tiny.png python-sortedcontainers-2.1.0/docs/performance-runtime.rst000066400000000000000000000243711337542712000240760ustar00rootroot00000000000000Runtime Performance Comparison ============================== Because :doc:`Sorted Containers` is implemented in pure-Python, its performance depends directly on the Python runtime. :doc:`Sorted Containers` is primarily developed, tested and benchmarked on CPython 3.7. Not all runtimes are created equal. The graphs below compare :doc:`Sorted Containers` running on the CPython 3.7, CPython 2.7, and PyPy runtimes. As of Python 3.7 the CPython 3.7 runtime is now faster than the CPython 2.7 runtime. The PyPy runtime displays much more variability due to its JIT-ed nature. Once the just-in-time compiler optimizes the code, performance is often two to ten times faster. Performance of competing implementations are benchmarked against the CPython 3.7 runtime. An :doc:`implementation performance comparison` is also included with data from popular sorted container packages. :doc:`Sorted Containers` uses a segmented-list data structure similar to a B-tree limited to two levels of nodes. As part of the implementation, a load factor is used to determine how many values should be stored in each node. This can have a significant impact on performance and a :doc:`load factor performance comparison` is also provided. Though these benchmarks exercise only one API repeatedly, an effort has also been made to simulate real-world workloads. The :doc:`simulated workload performance comparison` contains examples with comparisons to other implementations, load factors, and runtimes. .. currentmodule:: sortedcontainers Sorted List ----------- Graphs comparing :doc:`sortedlist` performance. __init__ ........ Initializing with a list of random numbers using :func:`SortedList.__init__`. .. image:: _static/SortedList_runtime-init.png add ... Randomly adding values using :func:`SortedList.add`. .. image:: _static/SortedList_runtime-add.png contains ........ Randomly testing membership using :func:`SortedList.__contains__`. .. image:: _static/SortedList_runtime-contains.png count ..... Counting objects at random using :func:`SortedList.count`. .. image:: _static/SortedList_runtime-count.png __delitem__ ........... Deleting objects at random using :func:`SortedList.__delitem__`. .. image:: _static/SortedList_runtime-delitem.png __getitem__ ........... Retrieving ojbects by index using :func:`SortedList.__getitem__`. .. image:: _static/SortedList_runtime-getitem.png index ..... Finding the index of an object using :func:`SortedList.index`. .. image:: _static/SortedList_runtime-index.png iter .... Iterating a SortedList using :func:`SortedList.__iter__`. .. image:: _static/SortedList_runtime-iter.png pop ... Removing the last object using :func:`SortedList.pop`. .. image:: _static/SortedList_runtime-pop.png remove ...... Remove an object at random using :func:`SortedList.remove`. .. image:: _static/SortedList_runtime-remove.png update_large ............ Updating a SortedList with a large iterable using :func:`SortedList.update`. .. image:: _static/SortedList_runtime-update_large.png update_small ............ Updating a SortedList with a small iterable using :func:`SortedList.update`. .. image:: _static/SortedList_runtime-update_small.png Sorted Dict ----------- Graphs comparing :doc:`sorteddict` performance. __init__ ........ Initializing with a list of pairs of random numbers using :func:`SortedDict.__init__`. .. image:: _static/SortedDict_runtime-init.png __contains__ ............ Given a key at random, test whether the key is in the dictionary using :func:`SortedDict.__contains__`. .. image:: _static/SortedDict_runtime-contains.png __getitem__ ........... Given a key at random, retrieve the value using :func:`SortedDict.__getitem__`. .. image:: _static/SortedDict_runtime-getitem.png __setitem__ ........... Given a key at random, set the value using :func:`SortedDict.__setitem__`. .. image:: _static/SortedDict_runtime-setitem.png __delitem__ ........... Given a key at random, delete the value using :func:`SortedDict.__delitem__`. .. image:: _static/SortedDict_runtime-delitem.png iter .... Iterate the keys of a SortedDict using :func:`SortedDict.__iter__`. .. image:: _static/SortedDict_runtime-iter.png setitem_existing ................ Given an existing key at random, set the value using :func:`SortedDict.__setitem__`. .. image:: _static/SortedDict_runtime-setitem_existing.png Sorted Set ---------- Graphs comparing :doc:`sortedset` performance. __init__ ........ Initializing with a list of random numbers using :func:`SortedSet.__init__`. .. image:: _static/SortedSet_runtime-init.png add ... Randomly add values using :func:`SortedSet.add`. .. image:: _static/SortedSet_runtime-add.png contains ........ Randomly test membership using :func:`SortedSet.__contains__`. .. image:: _static/SortedSet_runtime-contains.png difference_large ................ Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_runtime-difference_large.png difference_medium ................. Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_runtime-difference_medium.png difference_small ................ Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_runtime-difference_small.png difference_tiny ............... Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet_runtime-difference_tiny.png difference_update_large ....................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_runtime-difference_update_large.png difference_update_medium ........................ Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_runtime-difference_update_medium.png difference_update_small ....................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_runtime-difference_update_small.png difference_update_tiny ...................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet_runtime-difference_update_tiny.png intersection_large .................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_runtime-intersection_large.png intersection_medium ................... Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_runtime-intersection_medium.png intersection_small .................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_runtime-intersection_small.png intersection_tiny ................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet_runtime-intersection_tiny.png intersection_update_large ......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_runtime-intersection_update_large.png intersection_update_medium .......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_runtime-intersection_update_medium.png intersection_update_small ......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_runtime-intersection_update_small.png intersection_update_tiny ........................ Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet_runtime-intersection_update_tiny.png iter .... Iterating a set using :func:`iter(SortedSet)`. .. image:: _static/SortedSet_runtime-iter.png pop ... Remove the last item in a set using :func:`SortedSet.pop`. .. image:: _static/SortedSet_runtime-pop.png remove ...... Remove an item at random using :func:`SortedSet.remove`. .. image:: _static/SortedSet_runtime-remove.png union_large ........... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_runtime-union_large.png union_medium ............ Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_runtime-union_medium.png union_small ........... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_runtime-union_small.png union_tiny .......... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet_runtime-union_tiny.png update_large ............ Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_runtime-update_large.png update_medium ............. Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_runtime-update_medium.png update_small ............ Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_runtime-update_small.png update_tiny ........... Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet_runtime-update_tiny.png symmetric_difference_large .......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_runtime-symmetric_difference_large.png symmetric_difference_medium ........................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_runtime-symmetric_difference_medium.png symmetric_difference_small .......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_runtime-symmetric_difference_small.png symmetric_difference_tiny ......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet_runtime-symmetric_difference_tiny.png symm_diff_update_large ...................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_runtime-symmetric_difference_update_large.png symm_diff_update_medium ....................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_runtime-symmetric_difference_update_medium.png symm_diff_update_small ...................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_runtime-symmetric_difference_update_small.png symm_diff_update_tiny ..................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet_runtime-symmetric_difference_update_tiny.png python-sortedcontainers-2.1.0/docs/performance-scale.rst000066400000000000000000000606021337542712000234770ustar00rootroot00000000000000Performance at Scale ==================== :doc:`Sorted Containers` scales extremely well. This page discusses why both in theory and in practice. The design of :doc:`Sorted Containers` permits testing through tens of billions of items and benchmarks present results at this scale. The results of this page would be difficult and expensive to replicate with other implementations. Two methods are most important for analysis. Each stresses editing while maintaining sorted order. The first is :func:`SortedList.add` which identifies the insertion position using binary search. The second is :func:`SortedList.__delitem__` which identifies the deletion position using indexing. Most other methods are either symmetric or a subset of the runtime complexity of these methods. To fully grasp the content below, its strongly recommended that you read the :doc:`implementation details` first. :doc:`Sorted Containers` maintains a B-tree-like data structure limited to two levels of nodes. Theory ------ To discuss the runtime complexity of :doc:`Sorted Containers`, we must consider two values: 1. `n` -- the size of the sorted list. 2. `m` -- the "load" or sublist length. In a :doc:`sortedlist` with `n` elements, there will be a top-level list of pointers to :math:`\frac{n}{m}` sublists each of which are approximately `m` elements long. There will also be a "maxes" index which is the max of each sublist. The index will contain :math:`\frac{n}{m}` references. Now adding an element using :func:`SortedList.add` requires these steps: 1. Bisect the "maxes" index to find the appropriate sublist -- :math:`O(\log_2{\frac{n}{m}})` 2. Bisect the sublist to find the appropriate insertion position -- :math:`O(\log_2{m})` 3. Insert the element in the sublist -- :math:`O(m)` 4. A sublist may be split and inserted into the top-level list -- :math:`O(m+\frac{n}{m})` Consider how often step #4 may occur if we begin with a :doc:`sortedlist` of `n` elements and add `n` more elements. The top-level list length will grow from :math:`\frac{n}{m}` to :math:`2*\frac{n}{m}` meaning that step #4 was executed :math:`\frac{n}{m}` times. Altogether, growing a :doc:`sortedlist` of `n` elements by `n` more elements has the time complexity: .. math:: T_{add}(n, m) = O(n * \log_2{\frac{n}{m}} + n * \log_2{m} + n * m + \frac{n}{m} * (m + \frac{n}{m})) Now consider an extreme case: .. math:: T_{add}(n|m \propto 1) = O(n * \log_2{\frac{n}{1}} + n * \log_2{1} + n * 1 + \frac{n}{1} * (1 + \frac{n}{1})) T_{add}(n|m \propto 1) = O(n * \log_2{n} + n + n + n * n) T_{add}(n|m \propto 1) = O(n^2) The above is why some consider :doc:`Sorted Containers` unscalable. Because the load is not chosen dynamically, in theoretical analysis, it must be treated as a constant with respect to `n` which makes it proportional to 1. In practice, the default load is 1,000 which is generally closer to the square root or cube root of `n`. Consider where `m` is proportional to the square root of `n`: .. math:: T_{add}(n|m \propto n^\frac{1}{2}) = O(n * \log_2{\frac{n}{n^\frac{1}{2}}} + n * \log_2{n^\frac{1}{2}} + n * n^\frac{1}{2} + \frac{n}{n^\frac{1}{2}} * (n^\frac{1}{2} + \frac{n}{n^\frac{1}{2}})) T_{add}(n|m \propto n^\frac{1}{2}) = O(n * \log_2{n^\frac{1}{2}} + n * \log_2{n^\frac{1}{2}} + n*n^\frac{1}{2} + n^\frac{1}{2}*n^\frac{1}{2}) T_{add}(n|m \propto n^\frac{1}{2}) = O(n * n^\frac{1}{2}) The amortized cost of adding an individual item is therefore proportional to the square root of `n`. Our best bounds will be to use the cube root of `n`: .. math:: T_{add}(n|m \propto n^\frac{1}{3}) = O(n * \log_2{\frac{n}{n^\frac{1}{3}}} + n * \log_2{n^\frac{1}{3}} + n * n^\frac{1}{3} + \frac{n}{n^\frac{1}{3}} * (n^\frac{1}{3} + \frac{n}{n^\frac{1}{3}})) T_{add}(n|m \propto n^\frac{1}{3}) = O(n * \log_2{n^\frac{2}{3}} + n * \log_2{n^\frac{1}{3}} + n*n^\frac{1}{3} + n^\frac{2}{3}*n^\frac{1}{3}) T_{add}(n|m \propto n^\frac{1}{3}) = O(n * n^\frac{1}{3}) Now the amortized cost of adding an individual item is proportional to the cube root of `n`. Alternative tree-based implementations have a runtime complexity proportional to :math:`log_2{n}` for adding elements. The logarithm grows much more slowly than the cube root for large values of `n`. However, in practice we never reach those large values and the constant factors involved have a significant impact. Consider a billion elements: .. math:: \log_2{1,000,000,000} \approx 33 (1,000,000,000)^\frac{1}{3} \approx 1,000 The constant factor between those is :math:`1,000 / 33 \approx 33`. So if the operations for tree-based implementations are more than 33 times slower, then :doc:`Sorted Containers` may be faster. Below I'll make an argument for why that occurs in practice. Now deleting an element using :func:`SortedList.__delitem__` requires these steps: 1. Build the index if not present -- :math:`O(\frac{n}{m})` 2. Traverse the index to resolve the internal location -- :math:`O(\log_2{\frac{n}{m}})` 3. Delete the element in the sublist -- :math:`O(m)` 4. Update the index -- :math:`O(\log_2{\frac{n}{m}})` 5. A sublist may be combined with a neighboring sublist if it becomes too small. When this happens, the index is deleted -- :math:`O(m+\frac{n}{m})` Consider how often steps #1 and #5 may occur if we begin with a :doc:`sortedlist` of `n` elements and delete all `n` elements. The top-level list will shrink from :math:`\frac{n}{m}` to zero meaning that steps #1 and #5 were executed :math:`\frac{n}{m}` times. Altogether, deleting `n` elements from a :doc:`sortedlist` of `n` elements has the time complexity: .. math:: T_{del}(n, m) = O(\frac{n}{m} * \frac{n}{m} + n * \log_2{\frac{n}{m}} + n * m + n * \log_2{\frac{n}{m}} + \frac{n}{m} * (m + \frac{n}{m})) Most terms are the same for adding and deleting elements. But the first term is different. Rebuilding the index takes: .. math:: T_{index}(n, m) = O(\frac{n}{m} * \frac{n}{m}) Furthermore index lookups and updates are proportional to :math:`n * \log_2{\frac{n}{m}}`. All these terms are minimized with :math:`n = m`. However that maximizes the cost of step (3), :math:`O(n * m)`. Once again our best bounds will be to use the cube root of `n`: .. math:: T_{del}(n|m \propto n^\frac{1}{3}) = O(\frac{n}{n^\frac{1}{3}} * \frac{n}{n^\frac{1}{3}} + n * \log_2{\frac{n}{n^\frac{1}{3}}} + n * n^\frac{1}{3} + n * \log_2{\frac{n}{n^\frac{1}{3}}} + \frac{n}{n^\frac{1}{3}} * (n^\frac{1}{3} + \frac{n}{n^\frac{1}{3}})) T_{del}(n|m \propto n^\frac{1}{3}) = O(n^\frac{2}{3} * n^\frac{2}{3} + n * \log_2{n^\frac{2}{3}} + n * n^\frac{1}{3} + n * \log_2{n^\frac{2}{3}} + n^\frac{2}{3} * (n^\frac{1}{3} + n^\frac{2}{3})) T_{del}(n|m \propto n^\frac{1}{3}) = O(n * n^\frac{1}{3}) When deleting elements by index, the amortized time complexity is proportional to the cube root of `n`. Although using :math:`m \propto \sqrt[3]{n}` is the best theoretical time complexity, index lookups, updates, and building are composed of expensive operations. In practice, the square root of `n` works better when doing a lot of numerical indexing. Python Implementations ---------------------- I've now said that some operations are more expensive than others while still considering each to take :math:`O(1)` time. To understand this, we have to look at how Python is implemented. The most popular implementation of Python is `CPython`_. CPython implements lists as arrays of pointers and integers as allocated memory objects. This means that shifting elements in lists is very fast. It's akin to a mem-move operation for which modern processors are well optimized. The memory access pattern is entirely sequential. In 64-bit builds of CPython, integers require approximately thirty bytes each. This severely limits the number of integers we can hold in memory. In 2016, the largest commercial servers support up to terabytes of memory which can hold only hundreds of billions of integers. While large in practice, the number is small in theory. Doing integer math in CPython requires a memory allocation which, while still :math:`O(1)`, is quite a bit more costly than a processor-supported integer. An optimized implementation of Python is `PyPy`_. PyPy improves on CPython in many ways but one of the most important to our discussion is the use of "tagged pointers." Tagged pointers are capable of storing integers within the pointer itself. This greatly reduces memory consumption so that many integers in PyPy take only eight bytes. Lists of integers in PyPy are therefore packed densely together. When storing integers in a sorted list, both the "maxes" index and positional index are densely packed lists of integers. This improves locality for various processor cache features. The access pattern of both indexes is also optimized for modern processors. Traversing both the "maxes" index and the sublist uses bisect which while initially random, narrows locality with each iteration. Likewise the positional index is a tree, densely stored in a list. The memory access pattern locality is very good initially and then becomes random, the exact opposite of bisect. The benchmarks below use PyPy, without loss of generality, to maximize memory utilization and performance. .. _`CPython`: https://www.python.org/ .. _`PyPy`: http://pypy.org/ Sampling -------- As described in the theory section above, some costs in sorted lists are amortized over many operations. Amortized algorithms present unique difficulties in measuring performance as, by design, expensive operations are avoided. For example, consider measuring the expected value of the lottery without knowing the total jackpot. Purchasing a thousand tickets may still result in no winnings which would conclude incorrectly an expected value of zero. More practically, consider the list data type in CPython. Lists grow and shrink as necessary but the underlying implementation is restricted to static allocations. For this reason, lists are often over-allocated so that most appends may occur immediately. Occassionally, the list must be reallocated and possibly copied, which takes linear time. If we sampled performance by initializing lists of various sizes and appending an element, we may never observe a resize operation and so over-estimate performance. One solution for both Python lists and :doc:`Sorted Containers` sorted lists would be to double the size or remove all elements from the initialized list as was done in the Theory section above. Unfortunately, that method is too expensive to be practical. Doing so would require weeks and months of time incurring hundreds and thousands of dollars in machine costs. To shorten the measured time, two techniques are used. The first constructs sorted lists very quickly by initializing private member variables directly. The latter uses sampling in representative scenarios to perform a hundredth of the operations needed to double the size or remove all elements. The problem solved here is similar to that faced by binary tree implementations, like red-black trees, which do not maintain a binary tree in perfect balance. In fact, the maximum height of a red-black tree is :math:`2 * log_2{n + 1}`. While still :math:`O(log_2{n})`, the constant factor can have a big impact on performance analysis. When using sampling to measure the performance of red-black trees, trees of various shapes and heights must be used. The same is done here with :doc:`Sorted Containers`. Consider a sorted list initialized from an iterable of random values. Those values are sorted using the "sorted" builtin function and the resulting list is chopped into sublists of the given load. The "maxes" index is simply the last element of each sublist. If we plotted sublist length as a histogram, there would be one tall bar at the load size. In this scenario, all sublists are the same length which works very well in practice but is misleading for sampling performance. To more accurately measure performance, we must consider sublist lengths as random values are added individually. The video below displays a histogram of sublist lengths as random values are added to a sorted list. The load is one thousand. .. raw:: html
The histogram of sublist lengths is in blue while a normal curve fitted to the histogram is plotted in green. The size of the sorted list grows to millions of elements. Notice the fit of the normal curve improves with time. The sublist lengths grow from one to two thousand elements, at which point sublists are split and the process repeats. At the boundaries, bimodal distributions occur which may be approximated as a normal distribution that wraps-around at the limits. Consider also a sorted list with a million values each of which is removed at random. The video below displays a histogram of sublist lengths as values are random deleted from the sorted list. The load is again one thousand. .. raw:: html
The sorted list was initialized with a million values. Notice all sublists begin with the same length represented by a spike in the histogram. As elements are deleted, the spike moves toward five hundred. When sublists become too small they are combined with neighboring sublists. Those neighboring sublists may be any size between 500 and 2,000. This behavior results in new peaks at 1,000, 1,500, and 2,000. Each of those peaks then begins traversing left and the process repeats. The overall effect is like watching ripples. Over time each ripple starts as a sharp-looking normal curve and then flattens out. In modeling each of the above cases, a normal curve is used to represent the sublist lengths. When adding elements, the range of the curve is bounded by :math:`load` and :math:`load * 2`. While deleting elements the curve is bounded by :math:`\frac{load}{2}` and :math:`load`. The curve wraps-around these limits. Normal distributions have two parameters: :math:`\mu` and :math:`\sigma` which are the mean and standard deviation. Several means are tested to improve sampling, each called a "moment." When adding elements, there are ten moments evenly distributed in the range. And when deleting elements, there are five moments evenly distributed in the range. The parameter, :math:`\sigma`, is given as a tenth of the load, :math:`\frac{load}{10}`. With this information about the distribution of sublist lengths, we can very quickly construct large sorted lists. To do so, we sample lengths from a normal distribution and construct the sublists from sequential integers up to the desired size. The "maxes" index is simply given as the last element in each sublist. Because sequential integers are used, sublists are already sorted. After constructing a sorted list at each of the moments in the sublist length range, operations are performed to total a hundredth of the total size. The total time is the sum of the time at each moment. This process is repeated five times and the median is selected from the measurements. The median is often more accurate than the minimum due to cache effects. Details of the memory cache hierarchy are described below. Benchmarks ---------- Two benchmarks are measured. The first is adding random values to a sorted list and the second is deleting random indices from a sorted list. When adding values, the load is set to the cube root of the list size. And when deleting random indices, the load is set to the square root of the list size. Each table below displays: the method used, the initial size of the sorted list, the number of operations performed, the sum of the times at each moment as the total time, the operations completed per second, and the ratio of the previous Ops/Sec to the current Ops/Sec. In theory, using a load equal to the cube root of the list size should yield an algorithmic time complexity of :math:`n * \sqrt[3]{n}`. With a bit of math, we can calculate the expected Ops/Sec ratio as 2.154. Similarly, with a load equal to the square root of the list size, the time complexity should be :math:`n * \sqrt{n}`. In that scenario, the Ops/Sec ratio should be 3.162. Tree-based sorted list implementations often advertise :math:`n * \log_2{n}` time complexity for which, at extremely large sizes, the Ops/Sec ratio would approach one. However, at the sizes discussed below, the ratio is closer to 1.136. This means that as we grow from one million to one billion elements, we expect a net ratio of ~2. By comparison, the cubic root time complexity would expect a net ratio of ~10. In practice, :doc:`Sorted Containers` is often five to ten times faster at smaller list sizes. So the total effect is for performance to be equal at large list sizes. Also, tree-based implementations have difficulty trying to realize the theoretical ratio and so remain slower even at scale. Local Results ............. Measurements were made locally on a MacBook Pro (Retina, Late 2013) with 2.6 GHz Intel Core i7 processor and 16 GB of 1,600 MHz DDR3 memory. Sorted list sizes ranged from one million to one billion elements. The benchmark required approximately twelve gigabytes of memory. ====== ======= ============ ============== ============= ========= Method Size Operations Time Ops/Sec Ratio ====== ======= ============ ============== ============= ========= add 1e+06 1e+04 0.01501 666045.025 nan add 1e+07 1e+05 0.26612 375764.681 1.773 add 1e+08 1e+06 4.69080 213183.298 1.763 add 1e+09 1e+07 83.01831 120455.358 1.770 ====== ======= ============ ============== ============= ========= The above table displays the performance of adding elements to a sorted list. Notice the particularly good ratio, approximately 1.77, out-performed the theoretically expected 2.154. This is mainly due to the different constant times required for various operations, of which memory plays a large role and is discussed below. ====== ======= ============ ============== ============= ========= Method Size Operations Time Ops/Sec Ratio ====== ======= ============ ============== ============= ========= del 1e+06 1e+04 0.00827 1208897.485 nan del 1e+07 1e+05 0.13309 751393.836 1.609 del 1e+08 1e+06 3.79143 263752.866 2.849 del 1e+09 1e+07 124.59184 80262.081 3.286 ====== ======= ============ ============== ============= ========= When deleting elements, the ratio starts by out-performing the theoretically expected 3.162 but increases with size. The limited processor caches at these large sizes play a significant role in the performance. Traversing the positional index will evict elements of the top-level list and sublists. Virtual Machine Results ....................... Virtual machine results were made on a Google Compute Engine, Haswell generation, 2.3 GHZ Intel Xeon processor with 208 GB of memory. Sorted list sizes ranged from one million to ten billion elements. The benchmark required approximately 128 gigabytes of memory. ====== ======= ======= ============== ============= ========= Method Size Ops Time Ops/Sec Ratio ====== ======= ======= ============== ============= ========= add 1e+06 1e+04 0.02133 468884.826 nan add 1e+07 1e+05 0.38629 258872.924 1.811 add 1e+08 1e+06 6.20695 161109.825 1.607 add 1e+09 1e+07 120.24735 83161.919 1.937 add 1e+10 1e+08 2416.60713 41380.330 2.010 ====== ======= ======= ============== ============= ========= As with local results, the ratio out-performed the theoretically expected 2.154 at small list sizes. At very large sizes processor caches played more significant roles and the ratio approached the theoretically expected value. ====== ======= ======= ============== ============= ========= Method Size Ops Time Ops/Sec Ratio ====== ======= ======= ============== ============= ========= del 1e+06 1e+04 0.01791 558289.343 nan del 1e+07 1e+05 0.26171 382097.449 1.461 del 1e+08 1e+06 6.11150 163626.036 2.335 del 1e+09 1e+07 171.58899 58278.798 2.808 del 1e+10 1e+08 5493.95076 18201.838 3.202 ====== ======= ======= ============== ============= ========= The virtual machine results are again similar to local measurements. At smaller list sizes the ratio out-performs the expected 3.162 but increases at larger sizes. Total cost of the rented virtual machine was $33.97 for 1,011 minutes of use. Anyone interested in funding further scaling to one hundred billion elements should contact the :doc:`project lead`. Memory ------ Modern processors use multiple caches to improve memory performance. Caches are organized into individual levels: L1, L2, and L3. Each successive level is larger and slower than the previous level. For example, the size and average latency for random memory accesses on Intel's latest Skylake i7-6700 processor: * L1 Cache, 64 KB, ~4 cycles * L2 Cache, 256 KB, ~12 cycles * L3 Cache, 8 MB, ~42 cycles * RAM, 16 GB, ~446 cycles The exact size and latency are not important but the ratios are significant. L2 cache is about four times larger and slower than L1 cache. L3 cache is thirty times larger and four times slower than L2 cache. And memory is two thousand times larger and ten times slower than L3 cache. These ratios are approximate but illustrative of the slowdowns. Also important is the memory access pattern. These advertised latencies are averages for random memory access. But there are two other patterns often seen in practice: sequential and data-dependent. Sequential memory access is faster than random due to its predictable nature. The speedup varies but about five times faster is a reasonable guess. Striding through memory sequentially will incur almost zero cycle stalls. Data-dependent memory access is slower than random because no parallelization can occur. Each successive memory access depends on the previous and so stalls the processor. The pattern is typical of dereferencing pointers. Again its difficult to quantify the slowdown but five times slower is a reasonable guess. Altogether, jumping around memory with data-dependent accesses could be one thousand times slower than sequential accesses. Given the size and latencies for memory in modern processors, consider the typical cost of adding an element to a sorted list with size one billion. First the "maxes" index will be bisected. The index will be one million integers densely packed in a list. Using PyPy, the entire index could fit in the L3 cache. As the list is bisected, nearby indexes will be pulled into the L2 and L1 cache and lookups will accelerate a hundred times. Once the sublist is found, it too will be bisected. The sublist will contain only one thousand integers and those too will be quickly pulled from memory into L3, L2, and L1 caches. Once bisected, the new value will be inserted and memory will be traversed sequentially to make space. For comparison, consider traversing an AVL-binary tree with one billion elements. A highly optimized implementation will require at least 24 gigabytes of memory. The binary tree will likely traverse thirty levels, each of which is a data-dependent lookup. Some lookups will have good locality but most will not. Each lookup could be hundreds to thousands of times slower than sequential accesses. These slow lookups are why :doc:`Sorted Containers` can afford to shift a thousand sequential elements in memory and have most additions take less time than binary tree implementations. Due to the memory cache hierarchy, :doc:`Sorted Containers` scales extremely well. Each element in a :doc:`sortedlist` has little overhead which increases cache utilization. Data is randomly accessed and related data is stored together. These patterns in computing have held for decades which promises :doc:`Sorted Containers` a bright future. python-sortedcontainers-2.1.0/docs/performance-workload.rst000066400000000000000000000151531337542712000242330ustar00rootroot00000000000000Simulated Workload Performance Comparison ========================================= While the :doc:`competitive performance comparison` is useful for identifying strengths and weaknesses in the API, it doesn't reflect the variable nature of real-life workloads. In August 2014, a survey of use cases for sorted list data types was made through repeated searches of Github. The analysis identified several common use patterns. These benchmarks attempt to mimic the usage patterns observed in other projects. Those patterns are summarized in the following names: * *Priority Queue* -- Represents a priority queue data structure. In addition to the normal `add` and `pop` routines that can be efficiently managed with the `heapq` module in the standard library, projects required the ability to test for list ownership of values and occasional removal. A common use case also involved iterating the entire priority queue. The recipe described in the Python docs is insufficient as a priority queue for these projects in two ways: not every inserted value corresponds to a unique key and sorted iteration is not supported in linear time. * *Multiset* -- Represents a multiset data structure. While the `collections.Counter` data type is commonly suggested for implementing a multiset in Python, some projects required the ability to efficiently lookup the greatest or least item in the set. * *Ranking* -- Represents those projects that repeatedly looked up the index of items in the sorted list. Sometimes this occurred as part of prioritizing elements and reporting their rank. Imagine trying to identify an element's position in a work queue. * *Neighbor* -- This pattern was observed in several implementations of machine-learning algorithms (e.g. K-nearest-neighbor search). An iterative process was applied to a set of values in which they were repeatedly bisected and occasionally iterated. The bisect process attempts to find the nearest values to a given one. * *Intervals* -- Perhaps the most complex usage pattern, these projects maintained a list of intervals and were often querying a sorted list to determine those which overlapped. In addition to bisecting the list to identify nearest intervals, range queries were used to determine overlap. Frequent indexing was also apparent. The performance of each benchmark is displayed below along with each of the other data types implementing the necessary operations. Before the benchmark begins, the list is populated with values and then corresponding to the list size, a number of operations are performed. Each workload has been reduced to a set of operations with associated frequencies. For example, the priority queue simulates `add` and `pop` each 40% of the time. Though these workloads strive to be realistic, they are still quite synthetic. No attempt is made to exercise memory allocation or cache interference while sorted list operations are performed. The frequency of each operation is also estimated because no projects had performance benchmarks that were easily evaluated. The legends of the graphs below correlate the underlying data structure used to the Python project. The correlation is as follows: .. currentmodule:: sortedcontainers ====================== ================================== Data Structure Project ====================== ================================== :class:`SortedList` :doc:`Sorted Containers` :class:`SortedKeyList` :doc:`Sorted Containers` B-Tree `blist on PyPI`_ List `sortedcollection recipe`_ ====================== ================================== .. _`blist on PyPI`: https://pypi.org/project/blist/ .. _`sortedcollection recipe`: http://code.activestate.com/recipes/577197-sortedcollection/ Sorted List ----------- Graphs comparing :doc:`sortedlist` performance. Priority Queue .............. Simulates a *Priority Queue* workload as described above. The mix of operations and their frequencies: * 40% :func:`SortedList.add` * 40% :func:`SortedList.pop` * 10% :func:`SortedList.discard` * 9% :func:`SortedList.__contains__` * 1% :func:`SortedList.__iter__` (limited to first 100 elements) .. image:: _static/SortedList-priorityqueue.png .. image:: _static/SortedList_runtime-priorityqueue.png .. image:: _static/SortedList_load-priorityqueue.png Multiset ........ Simulates a *Multiset* workload as described above. The mix of operations and their frequencies: * 75% :func:`SortedList.__contains__` * 10% :func:`SortedList.add` * 10% :func:`SortedList.remove` * 5% :func:`SortedList.__getitem__` .. image:: _static/SortedList-multiset.png .. image:: _static/SortedList_runtime-multiset.png .. image:: _static/SortedList_load-multiset.png Ranking ....... Simulates a *Ranking* workload as described above. The mix of operations and their frequencies: * 40% :func:`SortedList.__getitem__` * 40% :func:`SortedList.index` * 10% :func:`SortedList.add` * 10% :func:`SortedList.remove` .. image:: _static/SortedList-ranking.png .. image:: _static/SortedList_runtime-ranking.png .. image:: _static/SortedList_load-ranking.png Neighbor ........ Simulates a *Neighbor* workload as described above. The mix of operations and their frequencies: * 75% :func:`SortedList.bisect` * 10% :func:`SortedList.add` * 10% :func:`SortedList.remove` * 5% :func:`SortedList.__iter__` (limited to first 100 elements) .. image:: _static/SortedList-neighbor.png .. image:: _static/SortedList_runtime-neighbor.png .. image:: _static/SortedList_load-neighbor.png Intervals ......... Simulates an *Intervals* workload as described above. The mix of operations and their frequencies: * 30% :func:`SortedList.bisect` * 20% :func:`SortedList.__getitem__` * 20% :func:`SortedList.__delitem__` * 10% :func:`SortedList.__getitem__` (range query) * 10% :func:`SortedList.add` * 10% :func:`SortedList.discard` .. image:: _static/SortedList-intervals.png .. image:: _static/SortedList_runtime-intervals.png .. image:: _static/SortedList_load-intervals.png Other Performance Comparisons ----------------------------- :doc:`Sorted Containers` uses a segmented-list data structure similar to a B-tree limited to two levels of nodes. As part of the implementation, a load factor is used to determine how many values should be stored in each node. This can have a significant impact on performance and a :doc:`load factor performance comparison` is also provided. Because :doc:`Sorted Containers` is pure-Python, its performance also depends directly on the Python runtime. A :doc:`runtime performance comparison` is also included with data from popular Python runtimes. python-sortedcontainers-2.1.0/docs/performance.rst000066400000000000000000000424441337542712000224160ustar00rootroot00000000000000Performance Comparison ====================== Measuring performance is a difficult task. All the benchmarks on this page are synthetic in the sense that they test one function repeatedly. Measurements in live systems are much harder to produce reliably. So take the following data with a grain of salt. That being said, a stated feature of :doc:`Sorted Containers` is performance so we would be remiss not to produce this page with comparisons. The source for all benchmarks can be found under the "tests" directory in the files prefixed "benchmark." Measurements are made from the min, max, and median of 5 repetitions. In the graphs below, the line follows the median at each point. Note that the axes are log-log so properly reading two different lines would describe one metric as "X times" faster rather than "X seconds" faster. In all graphs, lower is better. Measurements are made by powers of ten: 100 through 10,000,000. Measurements up to ten billion elements have been successfully tested and benchmarked. Read :doc:`performance-scale` for details. Only a couple implementations (including :doc:`Sorted Containers`) are capable of handling so many elements. The major limiting factor at that size is memory. Consider the simple case of storing CPython's integers in a :doc:`sortedlist`. Each integer object requires ~24 bytes so one hundred million elements will require about three gigabytes of memory. If the implementation adds significant overhead then most systems will run out of memory. For all datasets which may be kept in memory, :doc:`Sorted Containers` is an excellent choice. A good effort has been made to find competing implementations. Seven in total were found with various list, set, and dict implementations. 1. *blist* -- Provides list, dict, and set containers based on the blist data-type. Uses a `B-Tree`_ data structure. Implemented in Python and C. BSD License. Last updated March, 2014. `blist on PyPI`_ 2. *bintrees* -- Provides several tree-based implementations for dict and set containers. Fastest were AVL-Tree and Red-Black-Tree data structures.. Extends the conventional API to provide set operations for the dict type. Now deprecated in favor of :doc:`Sorted Containers` Implemented in C. MIT License. Last updated April, 2017. `bintrees on PyPI`_ 3. *sortedmap* -- Provides a fast, C++ implemenation for dict data types. Uses the C++ standard library `std::map` data structure which is usually a red-black tree. Last updated February, 2016. `sortedmap on PyPI`_ 4. *banyan* -- Provides a fast, C++ implementation for dict and set data types. Offers some features also found in sortedcontainers like accessing the n-th item in a set or dict. Uses sources from the `tree implementation`_ in GNU libstdc++. GPLv3 License. Last updated April, 2013. `banyan on PyPI`_ 5. *treap* -- Uses Cython for improved performance and provides a dict container. Apache V2 License. Last updated June, 2017. `treap on PyPI`_ 6. *skiplistcollections* -- Pure-Python implementation based on skip-lists providing a limited API for dict and set types. MIT License. Last updated January, 2014. `skiplistcollections on PyPI`_ 7. *sortedcollection* -- Pure-Python implementation of sorted list based solely on a list. Feature-poor and inefficient for writes but included because it is written by Raymond Hettinger and linked from the official Python docs. MIT License. Last updated April, 2011. `sortedcollection recipe`_ Several alternative implementations were omitted for reasons documented below: A. *rbtree* -- C-implementation that only supports Python 2. Provides a fast, C-implementation for dict and set data types. GPLv3 License. Last updated March, 2012. `rbtree on PyPI`_ B. *ruamel.ordereddict.sorteddict* -- C-implementation that only supports Python 2. Performance was measured in correspondence with the module author. Performance was generally very good except for ``__delitem__``. At scale, deleting entries became exceedingly slow. MIT License. Last updated July, 2017. `ruamel.ordereddict on PyPI`_ C. *pyskiplist* -- Pure-Python skip-list based implementation supporting a sorted-list-like interface. Now deprecated in favor of :doc:`Sorted Containers`. MIT License. Last updated July, 2015. `pyskiplist on PyPI`_ D. *sorteddict* -- Pure-Python lazily-computed sorted dict implementation. Now deprecated in favor of :doc:`Sorted Containers`. GPLv3 License. Last updated September, 2007. `sorteddict on PyPI`_ E. *rbtree from NewCenturyComputers* -- Pure-Python tree-based implementation. Not sure when this was last updated. Unlikely to be fast. Unknown license. Unknown last update. `rbtree from NewCenturyComputers`_ F. *python-avl-tree from GitHub user pgrafov* -- Pure-Python tree-based implementation. Unlikely to be fast. MIT License. Last updated October, 2010. `python-avl-tree from GitHub user pgrafov`_ G. *pyavl* -- C-implementation for AVL tree-based dict and set containers. Claims to be fast. Lacking documentation and failed to build. Public Domain License. Last updated December, 2008. `pyavl on PyPI`_ H. *skiplist* -- C-implementation of sorted list based on skip-list data structure. Only supports Python 2. Zlib/libpng License. Last updated Septemeber, 2013. `skiplist from Bitbucket user mojaves`_ The most similar module to :doc:`Sorted Containers` is skiplistcollections given that each is implemented in Python. But as is displayed below, Sorted Containers is several times faster and provides a richer API. Often the pure-Python implementation in Sorted Containers is faster even than the C-implementation counterparts. Where it lacks, performance is generally on the same magnitude. Because :doc:`Sorted Containers` is implemented in pure-Python, its performance depends directly on the Python runtime. A :doc:`runtime performance comparison` is also included with data from popular runtimes. :doc:`Sorted Containers` uses a segmented-list data structure similar to a B-tree limited to two levels of nodes. As part of the implementation, a load factor is used to determine how many values should be stored in each node. This can have a significant impact on performance and a :doc:`load factor performance comparison` is also provided. Though these benchmarks exercise only one API repeatedly, an effort has also been made to simulate real-world workloads. The :doc:`simulated workload performance comparison` contains examples with comparisons to other implementations, load factors, and runtimes. Some final notes about the graphs below. Missing data indicates the benchmark either took too long or failed. The set operations with tiny, small, medium, and large variations indicate the size of the container involved in the right-hand-side of the operation: tiny is exactly 10 elements; small is 10% of the size of the left-hand-side; medium is 50%; and large is 100%. :doc:`Sorted Containers` uses a different algorithm based on the size of the right-hand-side of the operation for a dramatic improvement in performance. The legends of the graphs below correlate the underlying data structure used the Python project. The correlation is as follows: .. currentmodule:: sortedcontainers ====================== ================================== Data Structure Project ====================== ================================== :class:`SortedList` :doc:`Sorted Containers` :class:`SortedKeyList` :doc:`Sorted Containers` B-Tree `blist on PyPI`_ List `sortedcollection recipe`_ AVL-Tree `bintrees on PyPI`_ RB-Tree `banyan on PyPI`_ Skip-List `skiplistcollections on PyPI`_ std::map `sortedmap on PyPI`_ Treap `treap on PyPI`_ ====================== ================================== .. _`B-Tree`: https://en.wikipedia.org/wiki/B-tree .. _`blist on PyPI`: https://pypi.org/project/blist/ .. _`bintrees on PyPI`: https://pypi.org/project/bintrees/ .. _`sortedmap on PyPI`: https://pypi.org/project/sortedmap/ .. _`sorteddict on PyPI`: https://pypi.org/project/sorteddict/ .. _`pyskiplist on PyPI`: https://pypi.org/project/pyskiplist/ .. _`banyan on PyPI`: https://pypi.org/project/Banyan/ .. _`treap on PyPI`: https://pypi.org/project/treap/ .. _`skiplistcollections on PyPI`: https://pypi.org/project/skiplistcollections/ .. _`sortedcollection recipe`: http://code.activestate.com/recipes/577197-sortedcollection/ .. _`rbtree on PyPI`: https://pypi.org/project/rbtree/ .. _`ruamel.ordereddict on PyPI`: https://pypi.org/project/ruamel.ordereddict/ .. _`rbtree from NewCenturyComputers`: http://newcenturycomputers.net/projects/rbtree.html .. _`python-avl-tree from GitHub user pgrafov`: https://github.com/pgrafov/python-avl-tree .. _`pyavl on PyPI`: https://pypi.org/project/pyavl/ .. _`skiplist from Bitbucket user mojaves`: https://bitbucket.org/mojaves/pyskiplist/ .. _`tree implementation`: https://gcc.gnu.org/onlinedocs/libstdc%2B%2B/ext/pb_ds/tree_based_containers.html Sorted List ----------- Graphs comparing :doc:`sortedlist` performance. __init__ ........ Initializing with a list of random numbers using :func:`SortedList.__init__`. .. image:: _static/SortedList-init.png add ... Randomly adding values using :func:`SortedList.add`. .. image:: _static/SortedList-add.png contains ........ Randomly testing membership using :func:`SortedList.__contains__`. .. image:: _static/SortedList-contains.png count ..... Counting objects at random using :func:`SortedList.count`. .. image:: _static/SortedList-count.png __delitem__ ........... Deleting objects at random using :func:`SortedList.__delitem__`. .. image:: _static/SortedList-delitem.png __getitem__ ........... Retrieving objects by index using :func:`SortedList.__getitem__`. .. image:: _static/SortedList-getitem.png index ..... Finding the index of an object using :func:`SortedList.index`. .. image:: _static/SortedList-index.png iter .... Iterating a SortedList using :func:`SortedList.__iter__`. .. image:: _static/SortedList-iter.png pop ... Removing the last object using :func:`SortedList.pop`. .. image:: _static/SortedList-pop.png remove ...... Remove an object at random using :func:`SortedList.remove`. .. image:: _static/SortedList-remove.png update_large ............ Updating a SortedList with a large iterable using :func:`SortedList.update`. .. image:: _static/SortedList-update_large.png update_small ............ Updating a SortedList with a small iterable using :func:`SortedList.update`. .. image:: _static/SortedList-update_small.png Sorted Dict ----------- Graphs comparing :doc:`sorteddict` performance. __init__ ........ Initializing with a list of pairs of random numbers using :func:`SortedDict.__init__`. .. image:: _static/SortedDict-init.png __contains__ ............ Given a key at random, test whether the key is in the dictionary using :func:`SortedDict.__contains__`. .. image:: _static/SortedDict-contains.png __getitem__ ........... Given a key at random, retrieve the value using :func:`SortedDict.__getitem__`. .. image:: _static/SortedDict-getitem.png __setitem__ ........... Given a key at random, set the value using :func:`SortedDict.__setitem__`. .. image:: _static/SortedDict-setitem.png __delitem__ ........... Given a key at random, delete the value using :func:`SortedDict.__delitem__`. .. image:: _static/SortedDict-delitem.png iter .... Iterate the keys of a SortedDict using :func:`SortedDict.__iter__`. .. image:: _static/SortedDict-iter.png setitem_existing ................ Given an existing key at random, set the value using :func:`SortedDict.__setitem__`. .. image:: _static/SortedDict-setitem_existing.png Sorted Set ---------- Graphs comparing :doc:`sortedset` performance. __init__ ........ Initializing with a list of random numbers using :func:`SortedSet.__init__`. .. image:: _static/SortedSet-init.png add ... Randomly add values using :func:`SortedSet.add`. .. image:: _static/SortedSet-add.png contains ........ Randomly test membership using :func:`SortedSet.__contains__`. .. image:: _static/SortedSet-contains.png difference_large ................ Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet-difference_large.png difference_medium ................. Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet-difference_medium.png difference_small ................ Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet-difference_small.png difference_tiny ............... Set difference using :func:`SortedSet.difference`. .. image:: _static/SortedSet-difference_tiny.png difference_update_large ....................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet-difference_update_large.png difference_update_medium ........................ Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet-difference_update_medium.png difference_update_small ....................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet-difference_update_small.png difference_update_tiny ...................... Set difference using :func:`SortedSet.difference_update`. .. image:: _static/SortedSet-difference_update_tiny.png intersection_large .................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet-intersection_large.png intersection_medium ................... Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet-intersection_medium.png intersection_small .................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet-intersection_small.png intersection_tiny ................. Set intersection using :func:`SortedSet.intersection`. .. image:: _static/SortedSet-intersection_tiny.png intersection_update_large ......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet-intersection_update_large.png intersection_update_medium .......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet-intersection_update_medium.png intersection_update_small ......................... Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet-intersection_update_small.png intersection_update_tiny ........................ Set intersection using :func:`SortedSet.intersection_update`. .. image:: _static/SortedSet-intersection_update_tiny.png iter .... Iterating a set using :func:`SortedSet.__iter__`. .. image:: _static/SortedSet-iter.png pop ... Remove the last item in a set using :func:`SortedSet.pop`. .. image:: _static/SortedSet-pop.png remove ...... Remove an item at random using :func:`SortedSet.remove`. .. image:: _static/SortedSet-remove.png union_large ........... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet-union_large.png union_medium ............ Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet-union_medium.png union_small ........... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet-union_small.png union_tiny .......... Set union using :func:`SortedSet.union`. .. image:: _static/SortedSet-union_tiny.png update_large ............ Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet-update_large.png update_medium ............. Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet-update_medium.png update_small ............ Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet-update_small.png update_tiny ........... Set update using :func:`SortedSet.update`. .. image:: _static/SortedSet-update_tiny.png symmetric_difference_large .......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet-symmetric_difference_large.png symmetric_difference_medium ........................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet-symmetric_difference_medium.png symmetric_difference_small .......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet-symmetric_difference_small.png symmetric_difference_tiny ......................... Set symmetric-difference using :func:`SortedSet.symmetric_difference`. .. image:: _static/SortedSet-symmetric_difference_tiny.png symm_diff_update_large ...................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet-symmetric_difference_update_large.png symm_diff_update_medium ....................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet-symmetric_difference_update_medium.png symm_diff_update_small ...................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet-symmetric_difference_update_small.png symm_diff_update_tiny ..................... Set symmetric-difference using :func:`SortedSet.symmetric_difference_update`. .. image:: _static/SortedSet-symmetric_difference_update_tiny.png python-sortedcontainers-2.1.0/docs/pycon-2016-talk.rst000066400000000000000000000542161337542712000225640ustar00rootroot00000000000000Python Sorted Collections - PyCon 2016 Talk =========================================== * `Python Sorted Collections Video Recording on Youtube`_ * `Python Sorted Collections Slides`_ Hello, I’m here today to talk about `Python sorted collections`_. I’m excited and a bit nervous to be up here in front of all you smart people. But I’m a pretty smart guy myself and I really admire Python so let’s get started. Every time I talk about `sorted collections`_, my wife hear’s sordid. We’ll see today how many times I can confuse the on-site captioners. You’re probably more familiar with sorted collections than you realize. In the standard library we have `heapq`_, `bisect`_ and `queue.PriorityQueue`_ but they don't quite fill the gap. Behind the scenes, priority queue uses a heap implementation. Another common mistake is to think that `collections.OrderedDict`_ is a dictionary that maintains sort order but that’s not the case. I don't always import sorted types. But when I do, I expect them in the standard library. And here’s why. `Java`_, `C++`_ and `.NET`_ have them. `Python`_ has broken into the top five of the TIOBE index but feels a bit more like `PHP`_ or `Javascript`_ in this regard. We also depend on external solutions: `Sqlite in-memory indexes`_, `pandas.DataFrame indexes`_, and `Redis sorted sets`_. If you’ve ever issued a “zadd” command to Redis then you used a sorted collection. So what should be the API of sorted collection types in Python? Well, a sorted list should be a `MutableSequence`_. Pretty close to the “list” API. But there’s a sort order constraint that must be satisfied by “setitem” and “insert” methods. Also should support a “key” argument like the “sorted” builtin function. Given sorted order, “bisect_right” and “bisect_left” methods make sense. You could also imagine an “add” method and “discard” method for elements. Kind of like a multi-set in other languages. I’d also expect “getitem”, “contains”, “count”, etc. to be faster than linear time. A sorted dictionary should be a `MutableMapping`_. Pretty close to the dictionary API. But iteration yields items in sorted order. Also should support efficient positional indexing, something like a SequenceView. Sorted set should be a `MutableSet`_. Pretty close to the “set” API. Sorted set should also be a Sequence like the “tuple” API to support efficient positional indexing. The chorus and the refrain from core developers is: "Look to the `PyPI`_." Which is good advice. So let’s talk about your options with a bit of software archaeology. `Blist`_ is the genesis of our story but it wasn’t really designed for sorted collections. It’s written in C and the innovation here is the “blist” data type. That’s a B-tree based replacement for CPython’s built-in list. Sorted list, sorted dictionary, and sorted set were built on top of this “blist” data type and it became the incumbent to beat. Also noteworthy is that the API was rather well thought out. There were some quirks; for example: the “pop” method returns the first element rather than the last element in the sorted list. `SortedCollection`_ is not a package. You can’t install this with “pip”. It’s simply a Python recipe that Raymond Hettinger linked from the Python docs. Couple innovations here though: it’s simple, it’s written in pure-Python, and maintains a parallel list of keys. So we have efficient support for that key-function parameter. This is `bintrees`_. Still alive and kicking today. A few innovations here: it’s written with Cython support to improve performance and has a few different tree “backends.” You can create a red-black or AVL-tree depending on your needs. There’s also some notion of accessing the nodes themselves and customizing the tree traversal to slice by value rather than by index. `Banyan`_ had a very short life but adds another couple innovations: it’s incredibly fast and achieves that through C++ template meta-programming. It also has a feature called tree-augmentation that will let you store metadata at tree nodes. You can use this for interval trees if you need those. Finally there’s `skiplistcollections`_. Couple significant things here: it’s pure-Python but fast, even for large collections, and it uses a skip-list data type rather than a binary tree. Altogether, you go on PyPI and try to figure this out and it’s kind of like this. It’s a mess. PyPI has really got to work better than using `Google`_ with the site operator. Couple others worth calling out: `rbtree`_ is another fast C-based implementation. And there’s a few like treap, splay and scapegoat that are contributions and experiments by `Dan Stromberg`_. He’s also done some interesting benchmarking of the various tree types. There’s no silver bullet when it comes to trees. I love Python because there's one right way to do things. If I just want sorted types, what’s the right answer? I couldn’t find the right answer so I built it. The missing battery: `Sorted Containers`_. Here it is. This is the project home page. `Sorted Containers`_ is a `Python sorted collections`_ library with `sorted list`_, `sorted dictionary`_, and `sorted set`_ implementations. It’s pure-Python but it’s as fast as C-extensions. It’s Python 2 and Python 3 compatible. It’s fully-featured. And it’s extensively tested with 100% coverage and hours of stress. `Performance`_ is a feature. That means graphs. Lot’s of them. There are 189 performance graphs in total. Let’s look at a few of them together. Here’s the performance of adding a random value to a sorted list. I’m comparing `Sorted Containers`_ with other competing implementations. Notice the axes are log-log. So if performance differs by major tick marks then one is actually ten times faster than the other. We see here that `Sorted Containers`_ is in fact about ten times faster than blist when it comes to adding random values to a sorted list. Notice also Raymond’s recipe is just a list and that displays order n-squared runtime complexity. That’s why it curves upwards. Of all the sorted collections libraries, `Sorted Containers`_ is also fastest at initialization. We’ll look at why soon. `Sorted Containers`_ is not always fastest. But notice here the performance improves with scale. You can see it there in blue. It starts in the middle of the pack and has a lesser slope than competitors. In short, `Sorted Containers`_ is kind of like a `B-tree`_ implementation. That means you can configure the the fan-out of nodes in the tree. We call that the load parameter and there are extensive performance graphs of three different `load parameters`_. Here we see that a load factor of ten thousand is fastest for indexing a sorted list. Notice the axes now go up to ten million elements. I’ve actually scaled `SortedList`_ all the way to ten billion elements. It was a really incredible experiment. I had to rent the largest high-memory instance available from Google Compute Engine. That benchmark required about 128 gigabytes of memory and cost me about thirty dollars. This is the performance of deleting a key from a sorted dictionary. Now the smaller load-factor is fastest. The default load-factor is 1,000 and works well for most scenarios. It’s a very sane default. In addition to comparisons and load-factors, I also `benchmark runtimes`_. Here’s CPython 2.7, CPython 3.5 and `PyPy`_ version 5. You can see where the the just-in-time compiler, the jit-compiler, kicks in. That’ll make `Sorted Containers`_ another ten times faster. Finally, I made a survey in 2015 on `Github`_ as to how people were using sorted collections. I noticed patterns like priority queues, mutli-sets, nearest-neighbor algorithms, etc. This is the priority queue workload which spends 40% of its time adding elements, 40% popping elements, 10% discarding elements, and has a couple other methods. `Sorted Containers`_ is two to ten times faster in all of these scenarios. We also have a lot of features. The API is nearly a drop-in replacement for the “blist” and “rbtree” modules. But the quirks have been fixed so the “pop” method returns the last element rather than the first. Sorted lists are sorted so you can bisect them. Looking up the index of an element is also very fast. Bintrees introduced methods for tree traversal. And I’ve boiled those down to a couple API methods. On line 3, we see “irange”. Irange iterates all keys from bob to eve in sorted order. Sorted dictionaries also have a sequence-like view called iloc. If you’re coming from Pandas that should look familiar. Line 4 creates a list of the five largest keys in the dictionary. Similar to “irange” there is an “islice” method. Islice does positional index slicing. In line 5 we create an iterator over the indexes 10 through 49 inclusive. One of the benefits of being pure-Python: it’s easy to hack on. Over the years, a few patterns have emerged and become recipes. All of these are available from PyPI with pip install `sortedcollections`_. If all that didn’t convince you that `Sorted Containers`_ is great then listen to what `other smart people say`_ about it: Alex Martelli says: Good stuff! ... I like the simple, effective implementation idea of splitting the sorted containers into smaller “fragments” to avoid the O(N) insertion costs. Jeff Knupp writes: That last part, “fast as C-extensions,” was difficult to believe. I would need some sort of performance comparison to be convinced this is true. The author includes this in the docs. It is. Kevin Samuel says: I’m quite amazed, not just by the code quality (it’s incredibly readable and has more comment than code, wow), but the actual amount of work you put at stuff that is not code: documentation, benchmarking, implementation explanations. Even the git log is clean and the unit tests run out of the box on Python 2 and 3. If you’re new to sorted collections, I hope I’ve piqued your interest. Think about the achievement here. `Sorted Containers`_ is pure-Python but as fast as C-implementations. Let’s look under the hood of `Sorted Containers`_ at what makes it so fast. It really comes down to bisect for the heavy lifting. Bisect is a module in the standard library that implements binary search on lists. There’s also a handy method called insort that does a binary search and insertion for us in one call. There’s no magic here, it’s just implemented in C and part of the standard library. Here’s the basic structure. It’s just a list of sublists. So there’s a member variable called “lists” that points to sublists. Each of those is maintained in sorted order. You’ll sometimes hear me refer to these as the top-level list and its sublists. There’s no need to wrap sublists in their own objects. They are just lists. Simple is fast and efficient. In addition to the list of sublists. There’s an index called the maxes index. That simply stores the maximum value in each sublist. Now lists in CPython are simply arrays of pointers so we’re not adding much overhead with this index. Let’s walk through testing membership with contains. Let’s look for element 14. Let’s also walk through adding an element. Let’s add 5 to the sorted list. Now numeric indexing is a little more complex. Numeric indexing uses a tree packed densely into another list. I haven’t seen this structure described in textbooks or research so I’d like to call it a “Jenks” index. But I’ll also refer to it as the positional index. Let’s build the positional index together. Remember the positional index is a tree stored in a list, kind of like a heap. Let’s use this to lookup index 8. Starting at the root, 18, compare index to the left-child node. 8 is greater than 7 so we subtract 7 from 8 and move to the right-child node. Again, now at node 11, compare index again to the left-child node. 1 is less than 6, so we simply move to the left-child node. We terminate at 6 because it’s a leaf node. Our final index is 1 and our final position is 5. We calculate the top-level list index as the position minus the offset. So our final coordinates are index 2 in the top-level list and index 1 in the sublist. That’s it. Three lists maintain the elements, the maxes index, and the positional index. We’ve used simple built-in types to construct complex behavior. Altogether that gets us to our first performance lesson. Builtin types are fast. Like really fast. Builtin types are as fast as C and benefit from years of optimizations. Ok, let’s look at the contains method for a sorted list. This is the majority of the code. We bisect the maxes index for the sublist index. Then we bisect the sublist for the element index. How many lines of Python code execute? 4. How many instructions execute? Hundreds of lines of C-code. Rather than programming in Python, I programmed against my interpreter. That’s our next lesson. Program your interpreter. The operations provided by the interpreter and standard library are fast. They’re implemented in C. When you program your interpreter, you write C code but in Python. Now let’s talk about memory. This is very simplified. My apologies to those who feel this is grossly simplified. Notice the limited sizes: a dozen registers, kilobytes of L1 cache, megabytes of L3 cache. Some machines don’t even have an L3 cache. So keep overhead low. Keep related data packed together. Our sublists add roughly one pointer per element. That’s all. It’s 66% less memory than binary tree implementations. Also, each memory tier has different performance. Memory slows down by a factor of a thousand from registers to main memory. And the advertised price of memory lookups is often the average random lookup time. But that’s only one common pattern. Sequential memory access patterns are so fast you almost don’t pay for them at all. The processor predicts the memory you’ll need next and queues it for you. Then there’s also data-dependent memory accesses which happen when you follow pointers. So the next memory location is dependent on the current one. This is typical in binary trees and it’s really slow. It’s as much as ten times slower than random memory access. Let’s think about adding elements again. Add calls bisect.insort which does a binary search and then insert on the list. Here is the code for insert in CPython. It is entirely sequential memory accesses. Also the binary search process starts random but narrows the search range and so improves locality of memory accesses. By comparison, traditional binary trees use data-dependent memory access as they repeatedly dereference pointers. We can sequentially shift a thousand elements in memory in the time it takes to access a couple of binary nodes from DRAM. So memory is tiered. And caches are limited in size. This is also why the slope of the performance curve for sorted list was less than that for binary tree implementations. At scale, binary trees do more data-dependent DRAM lookups than `Sorted Containers`_. I said that initializing a sorted container is fast. Let’s look at why. Here’s the initializer for a `SortedList`_. Notice it simply calls the sorted builtin and then chops up the result into sublists and then initializes the maxes index. I think of this as a cheat. I’m using the power of `Timsort`_ to initialize the container. And it turns out initialization is really common. The result is fast and readable. Also, how long does it take to initialize already sorted data? Linear time. It’s just a couple mem-copy like operations. Here’s another cheat. When we add an element to a sorted set, we add it to both a set object and sorted list. This preserves the fast set membership tests. Some purists will argue that `hashing`_ should not be necessary. They are correct, but, if you can define comparisons, then you can probably define hash. Remember that we’re solving real problems, not theoretical ones. If you can reuse the builtin types, then cheat and do it. So, if you can, cheat. The way to make things faster is to do less work. There’s no way around that. Another cheat I’ve mentioned regards the positional index. If you don’t need numerical lookups, then don’t build the index. That’s a common scenario with sorted dictionaries. We use less memory and run faster. When it comes to runtime complexity, here’s the punchline: adding random elements has an amortized cost proportional to the cube root of the container size. That’s an unusual runtime complexity but it works quite well. The surprising thing is that “n” stays relatively small in practice. For example, creating a billion integers in CPython will take more than 30 gigabytes of memory which is already exceeding the limits of most machines. We’ve also seen that memory is expensive. Allocations are costly. In the common case, `Sorted Containers`_ allocates no more memory when adding elements. If you’re doubtful about performance at scale, then I encourage you to read the project docs. There’s a page called `Performance at Scale`_ and it talks extensively about theory with benchmarks up to ten billion elements. A little PSA before I continue: If you claim to be fast, you’ve got to have measurements. Measure. Measure. Measure. `Big-O notation`_ is not a substitute for benchmarks. Quite often, constants and coefficients that are ignored in theory matter quite a lot in practice. So: Measure. Measure. Measure. This whole project in fact started with a measurement. I was timing how long it took to add an element to a “blist” when I noticed that “bisect.insort” was actually faster for a list with one thousand elements. It was so much faster in fact, I thought “wow, I could do two inserts in a thousand-element list and still be faster than “blist.” That thought eventually became the list of sublists implementation that we have today. So here’s the performance lessons: builtin types are fast; program your interpreter; memory is tiered; cheat, if you can; and measure, measure, measure. A couple closing thoughts. Everything related to `Sorted Containers`_ is under an open-source `Apache2 license`_. Contributors are very welcome. We’ve started to create a little community around sorted collections. I think it’s interesting to ask: is this worth a PEP? I’m personally on the fence. I think sorted collections would contribute to Python’s maturity. But I don’t know if any proposal could survive the inevitable bike-shedding. My contribution is a pure-Python implementation that’s fast-enough for most scenarios. I’ll end with a quote from `Mark Summerfield`_. Mark and a couple other authors have actually deprecated their modules in favor of `Sorted Containers`_. Mark says: “Python’s ‘batteries included’ standard library seems to have a battery missing. And the argument that ‘we never had it before’ has worn thin. It is time that Python offered a full range of collection classes out of the box, including sorted ones.” Thanks for letting me share. .. _`Python Sorted Collections Video Recording on Youtube`: https://www.youtube.com/watch?v=7z2Ki44Vs4E .. _`Python Sorted Collections Slides`: http://bit.ly/soco-pycon .. _`Python sorted collections`: http://www.grantjenks.com/docs/sortedcontainers/ .. _`heapq`: https://docs.python.org/3/library/heapq.html .. _`bisect`: https://docs.python.org/3/library/bisect.html .. _`queue.PriorityQueue`: https://docs.python.org/3/library/queue.html#queue.PriorityQueue .. _`collections.OrderedDict`: https://docs.python.org/3/library/collections.html#collections.OrderedDict .. _`Sqlite in-memory indexes`: https://www.sqlite.org/lang_createindex.html .. _`pandas.DataFrame indexes`: http://pandas.pydata.org/pandas-docs/stable/indexing.html .. _`Redis sorted sets`: https://redis.io/topics/data-types .. _`MutableSequence`: https://docs.python.org/3/library/collections.abc.html#collections-abstract-base-classes .. _`PyPI`: https://pypi.org/ .. _`Dan Stromberg`: http://stromberg.dnsalias.org/~dstromberg/datastructures/ .. _`B-tree`: https://en.wikipedia.org/wiki/B-tree .. _`PyPy`: http://pypy.org/ .. _`Github`: https://github.com/ .. _`Blist`: http://stutzbachenterprises.com/blist/ .. _`SortedCollection`: http://code.activestate.com/recipes/577197-sortedcollection/ .. _`bintrees`: https://pypi.org/project/bintrees/ .. _`Sorted Containers`: http://www.grantjenks.com/docs/sortedcontainers/ .. _`Banyan`: https://pythonhosted.org/Banyan/ .. _`skiplistcollections`: https://pypi.org/project/skiplistcollections/ .. _`Google`: https://www.google.com/ .. _`rbtree`: https://pypi.org/project/rbtree/ .. _`Sorted Containers`: http://www.grantjenks.com/docs/sortedcontainers/ .. _`sorted list`: http://www.grantjenks.com/docs/sortedcontainers/sortedlist.html .. _`sorted dictionary`: http://www.grantjenks.com/docs/sortedcontainers/sorteddict.html .. _`sorted set`: http://www.grantjenks.com/docs/sortedcontainers/sortedset.html .. _`SortedList`: http://www.grantjenks.com/docs/sortedcontainers/sortedlist.html .. _`Performance`: http://www.grantjenks.com/docs/sortedcontainers/performance.html .. _`Timsort`: https://en.wikipedia.org/wiki/Timsort .. _`hashing`: https://en.wikipedia.org/wiki/Hash_function .. _`Big-O notation`: https://en.wikipedia.org/wiki/Big_O_notation .. _`Apache2 license`: http://www.apache.org/licenses/LICENSE-2.0 .. _`Mark Summerfield`: http://www.qtrac.eu/pysorted.html .. _`benchmark runtimes`: http://www.grantjenks.com/docs/sortedcontainers/performance-runtime.html .. _`sortedcollections`: http://www.grantjenks.com/docs/sortedcollections/ .. _`other smart people say`: http://www.grantjenks.com/docs/sortedcontainers/#testimonials .. _`Performance at Scale`: http://www.grantjenks.com/docs/sortedcontainers/performance-scale.html .. _`sorted collections`: http://www.grantjenks.com/docs/sortedcontainers/ .. _`Java`: https://www.java.com/ .. _`C++`: https://isocpp.org/ .. _`.NET`: https://www.microsoft.com/net .. _`Python`: https://www.python.org/ .. _`PHP`: http://php.net/ .. _`Javascript`: https://en.wikipedia.org/wiki/ECMAScript .. _`MutableMapping`: https://docs.python.org/3/library/collections.abc.html#collections-abstract-base-classes .. _`MutableSet`: https://docs.python.org/3/library/collections.abc.html#collections-abstract-base-classes .. _`load parameters`: http://www.grantjenks.com/docs/sortedcontainers/performance-load.html python-sortedcontainers-2.1.0/docs/sf-python-2015-lightning-talk.rst000066400000000000000000000104101337542712000253270ustar00rootroot00000000000000SF Python 2015 Lightning Talk ============================= * `Accompanying Slides`_ Good evening! I'm Grant Jenks. Let's talk about a missing battery. My journey started here. From collections import sorted dictionary. Oops. That's an import error. Import sorted list. Import error. Import sorted set. Import error. I don't always import sorted types. But when I do, I expect them in the standard lib. And why would I expect that? I don't know. I guess PHP and Javascript don't have 'em either. But the chorus and the refrain from core developers is: "Look to the PyPI." Ok, good advice. Here's what that's like. It's like walking into my daughter's room after she's dumped all her toys on the floor. Seriously. PyPI has got to work better than using Google with the site operator. I love Python because there's one right way to do things. Just give me sorted types. I'm not the only one asking. Neil asked this in 2011. And Nick answered. "If a user is sophisticated enough to realise that the builtin types aren't the right solution for their problem, then they're also up to the task of finding an appropriate third party library." Okay. Fine. But just tell me the right answer. Give me a standard-lib-plus-plus or something. I couldn't find the right answer so I built it. Here it is. Sorted Containers. The right answer is pure-Python. It's Python 2 and Python 3 compatible. It's fast. It's fully-featured. And it's extensively tested with 100% coverage and hours of stress. Performance is a feature. That means graphs. Lot's of them. Here's the performance of creating a sorted list from random numbers. I benchmark Sorted Containers against every worthy competitor I can find. Here we see it's five to ten times faster than sortedcollection which is in fact a little recipe Raymond wrote and linked from the Python docs. Sorted dictionaries have the most competition. And the performance of Sorted Containers is great. And it's not just initializing that's fast. Every common method is benchmarked for you. Here's a quick look at sorted sets and your options. The blist module is kind of the incumbent. It works great as a specialized list. But please stop using it for sorted types. There are also benchmarks across runtimes. When you write pure-Python code, it really screams on PyPy. Notice where the JIT kicks in around a hundred thousand list items. The speedup is greater than 10x. In addition to the typical sequence, mapping, and set apis, there's a number of bonus methods which are possible because of the sort order constraint. For example, sorted lists include bisect methods and there's an islice method that implements slice indexing but returns an iterator. Sorted dictionaries also support integer indexing. You can lookup the index of a key or bisect keys in a mapping. There's even an iloc attribute that functions similarly to Pandas' DataFrames. Also included is an irange method that iterates ranges of keys. Likewise, sorted sets fully support positional indexing and lookup. If you're curious how it works, there's a page with implementation details. The short answer is two fold: I use bisect a lot and I cheat a little. But never fear, none of the graphs hide lazy-computations. I think :doc:`Sorted Containers` is great. But listen to what other smart people say about it: Alex Martelli says: Good stuff! ... I like the simple, effective implementation idea of splitting the sorted containers into smaller “fragments” to avoid the O(N) insertion costs. Jeff Knupp writes: That last part, “fast as C-extensions,” was difficult to believe. I would need some sort of performance comparison to be convinced this is true. The author includes this in the docs. It is. Kevin Samuel says: I’m quite amazed, not just by the code quality (it’s incredibly readable and has more comment than code, wow), but the actual amount of work you put at stuff that is not code: documentation, benchmarking, implementation explanations. Even the git log is clean and the unit tests run out of the box on Python 2 and 3. So, the next time you write a priority queue, or work with time-series data, or setup an in-memory Sqlite database or send Redis a ZADD command, think of :doc:`Sorted Containers`. In Python, we can do better. Happy Holidays. .. _`Accompanying Slides`: http://bit.ly/soco5sf python-sortedcontainers-2.1.0/docs/sorteddict.rst000066400000000000000000000032601337542712000222520ustar00rootroot00000000000000.. automodule:: sortedcontainers.sorteddict SortedDict .......... .. autoclass:: sortedcontainers.SortedDict :show-inheritance: .. automethod:: __init__ .. autoattribute:: key .. automethod:: __getitem__ .. automethod:: __setitem__ .. automethod:: __delitem__ .. automethod:: __iter__ .. automethod:: __len__ .. automethod:: setdefault .. automethod:: update .. automethod:: clear .. automethod:: pop .. automethod:: popitem .. automethod:: __contains__ .. automethod:: get .. automethod:: peekitem .. automethod:: keys .. automethod:: items .. automethod:: values .. automethod:: copy .. automethod:: fromkeys .. automethod:: __reversed__ .. automethod:: __eq__ .. automethod:: __ne__ .. automethod:: __repr__ .. automethod:: _check Sorted list methods (applies to keys): * :func:`SortedList.bisect_left` * :func:`SortedList.bisect_right` * :func:`SortedList.count` * :func:`SortedList.index` * :func:`SortedList.irange` * :func:`SortedList.islice` * :func:`SortedList._reset` Additional sorted list methods, if key-function used: * :func:`SortedKeyList.bisect_key_left` * :func:`SortedKeyList.bisect_key_right` * :func:`SortedKeyList.irange_key` SortedKeysView .............. .. autoclass:: sortedcontainers.SortedKeysView :show-inheritance: .. automethod:: __getitem__ .. automethod:: __delitem__ SortedItemsView ............... .. autoclass:: sortedcontainers.SortedItemsView :show-inheritance: .. automethod:: __getitem__ SortedValuesView ................ .. autoclass:: sortedcontainers.SortedValuesView :show-inheritance: .. automethod:: __getitem__ python-sortedcontainers-2.1.0/docs/sortedlist.rst000066400000000000000000000027321337542712000223050ustar00rootroot00000000000000.. automodule:: sortedcontainers.sortedlist SortedList .......... .. autoclass:: sortedcontainers.SortedList :show-inheritance: .. automethod:: __new__ .. automethod:: __init__ .. automethod:: add .. automethod:: update .. automethod:: clear .. automethod:: discard .. automethod:: remove .. automethod:: pop .. automethod:: bisect_left .. automethod:: bisect_right .. automethod:: count .. automethod:: index .. automethod:: irange .. automethod:: islice .. automethod:: __iter__ .. automethod:: __reversed__ .. automethod:: __contains__ .. automethod:: __getitem__ .. automethod:: __delitem__ .. automethod:: __add__ .. automethod:: __iadd__ .. automethod:: __mul__ .. automethod:: __imul__ .. automethod:: __eq__ .. automethod:: __ne__ .. automethod:: __lt__ .. automethod:: __le__ .. automethod:: __gt__ .. automethod:: __ge__ .. automethod:: copy .. automethod:: __len__ .. automethod:: __repr__ .. automethod:: _check .. automethod:: _reset .. automethod:: append .. automethod:: extend .. automethod:: insert .. automethod:: reverse .. automethod:: __setitem__ SortedKeyList ............. .. autoclass:: sortedcontainers.SortedKeyList :show-inheritance: .. automethod:: __init__ .. autoattribute:: key .. automethod:: bisect_key_left .. automethod:: bisect_key_right .. automethod:: irange_key .. autoclass:: sortedcontainers.SortedListWithKey python-sortedcontainers-2.1.0/docs/sortedset.rst000066400000000000000000000015451337542712000221260ustar00rootroot00000000000000.. automodule:: sortedcontainers.sortedset SortedSet ......... .. autoclass:: sortedcontainers.SortedSet :show-inheritance: .. automethod:: __init__ .. autoattribute:: key .. automethod:: __contains__ .. automethod:: __iter__ .. automethod:: __len__ .. automethod:: add .. automethod:: discard .. automethod:: __getitem__ .. automethod:: __delitem__ .. automethod:: __reversed__ .. automethod:: clear .. automethod:: pop .. automethod:: remove .. automethod:: difference .. automethod:: difference_update .. automethod:: intersection .. automethod:: intersection_update .. automethod:: symmetric_difference .. automethod:: symmetric_difference_update .. automethod:: union .. automethod:: update .. automethod:: copy .. automethod:: count .. automethod:: __repr__ .. automethod:: _check python-sortedcontainers-2.1.0/requirements.txt000066400000000000000000000002221337542712000217030ustar00rootroot00000000000000bintrees blist coverage cython doc8 gj matplotlib pyannote-banyan pylint pytest pytest-cov scipy skiplistcollections sphinx tox treap twine wheel python-sortedcontainers-2.1.0/setup.py000066400000000000000000000033431337542712000201400ustar00rootroot00000000000000from setuptools import setup from setuptools.command.test import test as TestCommand import sortedcontainers import sys class Tox(TestCommand): def finalize_options(self): TestCommand.finalize_options(self) self.test_args = [] self.test_suite = True def run_tests(self): import tox errno = tox.cmdline(self.test_args) sys.exit(errno) with open('README.rst') as reader: readme = reader.read() setup( name=sortedcontainers.__title__, version=sortedcontainers.__version__, description='Sorted Containers -- Sorted List, Sorted Dict, Sorted Set', long_description=readme, author='Grant Jenks', author_email='contact@grantjenks.com', url='http://www.grantjenks.com/docs/sortedcontainers/', license='Apache 2.0', packages=['sortedcontainers'], tests_require=['tox'], cmdclass={'test': Tox}, install_requires=[], classifiers=( 'Development Status :: 5 - Production/Stable', 'Intended Audience :: Developers', 'License :: OSI Approved :: Apache Software License', 'Natural Language :: English', 'Programming Language :: Python', 'Programming Language :: Python :: 2', 'Programming Language :: Python :: 2.7', 'Programming Language :: Python :: 3', 'Programming Language :: Python :: 3.2', 'Programming Language :: Python :: 3.3', 'Programming Language :: Python :: 3.4', 'Programming Language :: Python :: 3.5', 'Programming Language :: Python :: 3.6', 'Programming Language :: Python :: 3.7', 'Programming Language :: Python :: Implementation :: CPython', 'Programming Language :: Python :: Implementation :: PyPy', ), ) python-sortedcontainers-2.1.0/sortedcontainers/000077500000000000000000000000001337542712000220115ustar00rootroot00000000000000python-sortedcontainers-2.1.0/sortedcontainers/__init__.py000066400000000000000000000041231337542712000241220ustar00rootroot00000000000000"""Sorted Containers -- Sorted List, Sorted Dict, Sorted Set Sorted Containers is an Apache2 licensed containers library, written in pure-Python, and fast as C-extensions. Python's standard library is great until you need a sorted collections type. Many will attest that you can get really far without one, but the moment you **really need** a sorted list, dict, or set, you're faced with a dozen different implementations, most using C-extensions without great documentation and benchmarking. In Python, we can do better. And we can do it in pure-Python! :: >>> from sortedcontainers import SortedList >>> sl = SortedList(['e', 'a', 'c', 'd', 'b']) >>> sl SortedList(['a', 'b', 'c', 'd', 'e']) >>> sl *= 1000000 >>> sl.count('c') 1000000 >>> sl[-3:] ['e', 'e', 'e'] >>> from sortedcontainers import SortedDict >>> sd = SortedDict({'c': 3, 'a': 1, 'b': 2}) >>> sd SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> sd.popitem(index=-1) ('c', 3) >>> from sortedcontainers import SortedSet >>> ss = SortedSet('abracadabra') >>> ss SortedSet(['a', 'b', 'c', 'd', 'r']) >>> ss.bisect_left('c') 2 Sorted Containers takes all of the work out of Python sorted types - making your deployment and use of Python easy. There's no need to install a C compiler or pre-build and distribute custom extensions. Performance is a feature and testing has 100% coverage with unit tests and hours of stress. :copyright: (c) 2014-2018 by Grant Jenks. :license: Apache 2.0, see LICENSE for more details. """ from .sortedlist import SortedList, SortedKeyList, SortedListWithKey from .sortedset import SortedSet from .sorteddict import ( SortedDict, SortedKeysView, SortedItemsView, SortedValuesView, ) __all__ = [ 'SortedList', 'SortedKeyList', 'SortedListWithKey', 'SortedDict', 'SortedKeysView', 'SortedItemsView', 'SortedValuesView', 'SortedSet', ] __title__ = 'sortedcontainers' __version__ = '2.1.0' __build__ = 0x020100 __author__ = 'Grant Jenks' __license__ = 'Apache 2.0' __copyright__ = '2014-2018, Grant Jenks' python-sortedcontainers-2.1.0/sortedcontainers/sorteddict.py000066400000000000000000000537301337542712000245370ustar00rootroot00000000000000"""Sorted Dict ============== :doc:`Sorted Containers` is an Apache2 licensed Python sorted collections library, written in pure-Python, and fast as C-extensions. The :doc:`introduction` is the best way to get started. Sorted dict implementations: .. currentmodule:: sortedcontainers * :class:`SortedDict` * :class:`SortedKeysView` * :class:`SortedItemsView` * :class:`SortedValuesView` """ import sys import warnings from .sortedlist import SortedList, recursive_repr from .sortedset import SortedSet ############################################################################### # BEGIN Python 2/3 Shims ############################################################################### try: from collections.abc import ItemsView, KeysView, ValuesView, Sequence except ImportError: from collections import ItemsView, KeysView, ValuesView, Sequence ############################################################################### # END Python 2/3 Shims ############################################################################### class SortedDict(dict): """Sorted dict is a sorted mutable mapping. Sorted dict keys are maintained in sorted order. The design of sorted dict is simple: sorted dict inherits from dict to store items and maintains a sorted list of keys. Sorted dict keys must be hashable and comparable. The hash and total ordering of keys must not change while they are stored in the sorted dict. Mutable mapping methods: * :func:`SortedDict.__getitem__` (inherited from dict) * :func:`SortedDict.__setitem__` * :func:`SortedDict.__delitem__` * :func:`SortedDict.__iter__` * :func:`SortedDict.__len__` (inherited from dict) Methods for adding items: * :func:`SortedDict.setdefault` * :func:`SortedDict.update` Methods for removing items: * :func:`SortedDict.clear` * :func:`SortedDict.pop` * :func:`SortedDict.popitem` Methods for looking up items: * :func:`SortedDict.__contains__` (inherited from dict) * :func:`SortedDict.get` (inherited from dict) * :func:`SortedDict.peekitem` Methods for views: * :func:`SortedDict.keys` * :func:`SortedDict.items` * :func:`SortedDict.values` Methods for miscellany: * :func:`SortedDict.copy` * :func:`SortedDict.fromkeys` * :func:`SortedDict.__reversed__` * :func:`SortedDict.__eq__` (inherited from dict) * :func:`SortedDict.__ne__` (inherited from dict) * :func:`SortedDict.__repr__` * :func:`SortedDict._check` Sorted list methods available (applies to keys): * :func:`SortedList.bisect_left` * :func:`SortedList.bisect_right` * :func:`SortedList.count` * :func:`SortedList.index` * :func:`SortedList.irange` * :func:`SortedList.islice` * :func:`SortedList._reset` Additional sorted list methods available, if key-function used: * :func:`SortedKeyList.bisect_key_left` * :func:`SortedKeyList.bisect_key_right` * :func:`SortedKeyList.irange_key` Sorted dicts may only be compared for equality and inequality. """ def __init__(self, *args, **kwargs): """Initialize sorted dict instance. Optional key-function argument defines a callable that, like the `key` argument to the built-in `sorted` function, extracts a comparison key from each dictionary key. If no function is specified, the default compares the dictionary keys directly. The key-function argument must be provided as a positional argument and must come before all other arguments. Optional iterable argument provides an initial sequence of pairs to initialize the sorted dict. Each pair in the sequence defines the key and corresponding value. If a key is seen more than once, the last value associated with it is stored in the new sorted dict. Optional mapping argument provides an initial mapping of items to initialize the sorted dict. If keyword arguments are given, the keywords themselves, with their associated values, are added as items to the dictionary. If a key is specified both in the positional argument and as a keyword argument, the value associated with the keyword is stored in the sorted dict. Sorted dict keys must be hashable, per the requirement for Python's dictionaries. Keys (or the result of the key-function) must also be comparable, per the requirement for sorted lists. >>> d = {'alpha': 1, 'beta': 2} >>> SortedDict([('alpha', 1), ('beta', 2)]) == d True >>> SortedDict({'alpha': 1, 'beta': 2}) == d True >>> SortedDict(alpha=1, beta=2) == d True """ if args and (args[0] is None or callable(args[0])): _key = self._key = args[0] args = args[1:] else: _key = self._key = None self._list = SortedList(key=_key) # Calls to super() are expensive so cache references to dict methods on # sorted dict instances. _dict = super(SortedDict, self) self._dict_clear = _dict.clear self._dict_delitem = _dict.__delitem__ self._dict_iter = _dict.__iter__ self._dict_pop = _dict.pop self._dict_setitem = _dict.__setitem__ self._dict_update = _dict.update # Reaching through ``self._list`` repeatedly adds unnecessary overhead # so cache references to sorted list methods. _list = self._list self._list_add = _list.add self._list_clear = _list.clear self._list_iter = _list.__iter__ self._list_reversed = _list.__reversed__ self._list_pop = _list.pop self._list_remove = _list.remove self._list_update = _list.update # Expose some sorted list methods publicly. self.bisect_left = _list.bisect_left self.bisect = _list.bisect_right self.bisect_right = _list.bisect_right self.index = _list.index self.irange = _list.irange self.islice = _list.islice self._reset = _list._reset if _key is not None: self.bisect_key_left = _list.bisect_key_left self.bisect_key_right = _list.bisect_key_right self.bisect_key = _list.bisect_key self.irange_key = _list.irange_key self._update(*args, **kwargs) @property def key(self): """Function used to extract comparison key from keys. Sorted dict compares keys directly when the key function is none. """ return self._key @property def iloc(self): """Cached reference of sorted keys view. Deprecated in version 2 of Sorted Containers. Use :func:`SortedDict.keys` instead. """ # pylint: disable=attribute-defined-outside-init try: return self._iloc except AttributeError: warnings.warn( 'sorted_dict.iloc is deprecated.' ' Use SortedDict.keys() instead.', DeprecationWarning, stacklevel=2, ) _iloc = self._iloc = SortedKeysView(self) return _iloc def clear(self): """Remove all items from sorted dict. Runtime complexity: `O(n)` """ self._dict_clear() self._list_clear() def __delitem__(self, key): """Remove item from sorted dict identified by `key`. ``sd.__delitem__(key)`` <==> ``del sd[key]`` Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> del sd['b'] >>> sd SortedDict({'a': 1, 'c': 3}) >>> del sd['z'] Traceback (most recent call last): ... KeyError: 'z' :param key: `key` for item lookup :raises KeyError: if key not found """ self._dict_delitem(key) self._list_remove(key) def __iter__(self): """Return an iterator over the keys of the sorted dict. ``sd.__iter__()`` <==> ``iter(sd)`` Iterating the sorted dict while adding or deleting items may raise a :exc:`RuntimeError` or fail to iterate over all keys. """ return self._list_iter() def __reversed__(self): """Return a reverse iterator over the keys of the sorted dict. ``sd.__reversed__()`` <==> ``reversed(sd)`` Iterating the sorted dict while adding or deleting items may raise a :exc:`RuntimeError` or fail to iterate over all keys. """ return self._list_reversed() def __setitem__(self, key, value): """Store item in sorted dict with `key` and corresponding `value`. ``sd.__setitem__(key, value)`` <==> ``sd[key] = value`` Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict() >>> sd['c'] = 3 >>> sd['a'] = 1 >>> sd['b'] = 2 >>> sd SortedDict({'a': 1, 'b': 2, 'c': 3}) :param key: key for item :param value: value for item """ if key not in self: self._list_add(key) self._dict_setitem(key, value) _setitem = __setitem__ def copy(self): """Return a shallow copy of the sorted dict. Runtime complexity: `O(n)` :return: new sorted dict """ return self.__class__(self._key, self.items()) __copy__ = copy @classmethod def fromkeys(cls, iterable, value=None): """Return a new sorted dict initailized from `iterable` and `value`. Items in the sorted dict have keys from `iterable` and values equal to `value`. Runtime complexity: `O(n*log(n))` :return: new sorted dict """ return cls((key, value) for key in iterable) def keys(self): """Return new sorted keys view of the sorted dict's keys. See :class:`SortedKeysView` for details. :return: new sorted keys view """ return SortedKeysView(self) def items(self): """Return new sorted items view of the sorted dict's items. See :class:`SortedItemsView` for details. :return: new sorted items view """ return SortedItemsView(self) def values(self): """Return new sorted values view of the sorted dict's values. See :class:`SortedValuesView` for details. :return: new sorted values view """ return SortedValuesView(self) if sys.hexversion < 0x03000000: def __make_raise_attributeerror(original, alternate): # pylint: disable=no-self-argument message = ( 'SortedDict.{original}() is not implemented.' ' Use SortedDict.{alternate}() instead.' ).format(original=original, alternate=alternate) def method(self): # pylint: disable=missing-docstring,unused-argument raise AttributeError(message) method.__name__ = original method.__doc__ = message return property(method) iteritems = __make_raise_attributeerror('iteritems', 'items') iterkeys = __make_raise_attributeerror('iterkeys', 'keys') itervalues = __make_raise_attributeerror('itervalues', 'values') viewitems = __make_raise_attributeerror('viewitems', 'items') viewkeys = __make_raise_attributeerror('viewkeys', 'keys') viewvalues = __make_raise_attributeerror('viewvalues', 'values') class _NotGiven(object): # pylint: disable=too-few-public-methods def __repr__(self): return '' __not_given = _NotGiven() def pop(self, key, default=__not_given): """Remove and return value for item identified by `key`. If the `key` is not found then return `default` if given. If `default` is not given then raise :exc:`KeyError`. Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> sd.pop('c') 3 >>> sd.pop('z', 26) 26 >>> sd.pop('y') Traceback (most recent call last): ... KeyError: 'y' :param key: `key` for item :param default: `default` value if key not found (optional) :return: value for item :raises KeyError: if `key` not found and `default` not given """ if key in self: self._list_remove(key) return self._dict_pop(key) else: if default is self.__not_given: raise KeyError(key) else: return default def popitem(self, index=-1): """Remove and return ``(key, value)`` pair at `index` from sorted dict. Optional argument `index` defaults to -1, the last item in the sorted dict. Specify ``index=0`` for the first item in the sorted dict. If the sorted dict is empty, raises :exc:`KeyError`. If the `index` is out of range, raises :exc:`IndexError`. Runtime complexity: `O(log(n))` >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> sd.popitem() ('c', 3) >>> sd.popitem(0) ('a', 1) >>> sd.popitem(100) Traceback (most recent call last): ... IndexError: list index out of range :param int index: `index` of item (default -1) :return: key and value pair :raises KeyError: if sorted dict is empty :raises IndexError: if `index` out of range """ if not self: raise KeyError('popitem(): dictionary is empty') key = self._list_pop(index) value = self._dict_pop(key) return (key, value) def peekitem(self, index=-1): """Return ``(key, value)`` pair at `index` in sorted dict. Optional argument `index` defaults to -1, the last item in the sorted dict. Specify ``index=0`` for the first item in the sorted dict. Unlike :func:`SortedDict.popitem`, the sorted dict is not modified. If the `index` is out of range, raises :exc:`IndexError`. Runtime complexity: `O(log(n))` >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> sd.peekitem() ('c', 3) >>> sd.peekitem(0) ('a', 1) >>> sd.peekitem(100) Traceback (most recent call last): ... IndexError: list index out of range :param int index: index of item (default -1) :return: key and value pair :raises IndexError: if `index` out of range """ key = self._list[index] return key, self[key] def setdefault(self, key, default=None): """Return value for item identified by `key` in sorted dict. If `key` is in the sorted dict then return its value. If `key` is not in the sorted dict then insert `key` with value `default` and return `default`. Optional argument `default` defaults to none. Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict() >>> sd.setdefault('a', 1) 1 >>> sd.setdefault('a', 10) 1 >>> sd SortedDict({'a': 1}) :param key: key for item :param default: value for item (default None) :return: value for item identified by `key` """ if key in self: return self[key] self._dict_setitem(key, default) self._list_add(key) return default def update(self, *args, **kwargs): """Update sorted dict with items from `args` and `kwargs`. Overwrites existing items. Optional arguments `args` and `kwargs` may be a mapping, an iterable of pairs or keyword arguments. See :func:`SortedDict.__init__` for details. :param args: mapping or iterable of pairs :param kwargs: keyword arguments mapping """ if not self: self._dict_update(*args, **kwargs) self._list_update(self._dict_iter()) return if not kwargs and len(args) == 1 and isinstance(args[0], dict): pairs = args[0] else: pairs = dict(*args, **kwargs) if (10 * len(pairs)) > len(self): self._dict_update(pairs) self._list_clear() self._list_update(self._dict_iter()) else: for key in pairs: self._setitem(key, pairs[key]) _update = update def __reduce__(self): """Support for pickle. The tricks played with caching references in :func:`SortedDict.__init__` confuse pickle so customize the reducer. """ return (self.__class__, (self._key, list(self.items()))) @recursive_repr() def __repr__(self): """Return string representation of sorted dict. ``sd.__repr__()`` <==> ``repr(sd)`` :return: string representation """ _key = self._key type_name = type(self).__name__ key_arg = '' if _key is None else '{0!r}, '.format(_key) item_format = '{0!r}: {1!r}'.format items = ', '.join(item_format(key, self[key]) for key in self._list) return '{0}({1}{{{2}}})'.format(type_name, key_arg, items) def _check(self): """Check invariants of sorted dict. Runtime complexity: `O(n)` """ _list = self._list _list._check() assert len(self) == len(_list) assert all(key in self for key in _list) def _view_delitem(self, index): """Remove item at `index` from sorted dict. ``view.__delitem__(index)`` <==> ``del view[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> view = sd.keys() >>> del view[0] >>> sd SortedDict({'b': 2, 'c': 3}) >>> del view[-1] >>> sd SortedDict({'b': 2}) >>> del view[:] >>> sd SortedDict({}) :param index: integer or slice for indexing :raises IndexError: if index out of range """ _mapping = self._mapping _list = _mapping._list _dict_delitem = _mapping._dict_delitem if isinstance(index, slice): keys = _list[index] del _list[index] for key in keys: _dict_delitem(key) else: key = _list.pop(index) _dict_delitem(key) class SortedKeysView(KeysView, Sequence): """Sorted keys view is a dynamic view of the sorted dict's keys. When the sorted dict's keys change, the view reflects those changes. The keys view implements the set and sequence abstract base classes. """ __slots__ = () @classmethod def _from_iterable(cls, it): return SortedSet(it) def __getitem__(self, index): """Lookup key at `index` in sorted keys views. ``skv.__getitem__(index)`` <==> ``skv[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> skv = sd.keys() >>> skv[0] 'a' >>> skv[-1] 'c' >>> skv[:] ['a', 'b', 'c'] >>> skv[100] Traceback (most recent call last): ... IndexError: list index out of range :param index: integer or slice for indexing :return: key or list of keys :raises IndexError: if index out of range """ return self._mapping._list[index] __delitem__ = _view_delitem class SortedItemsView(ItemsView, Sequence): """Sorted items view is a dynamic view of the sorted dict's items. When the sorted dict's items change, the view reflects those changes. The items view implements the set and sequence abstract base classes. """ __slots__ = () @classmethod def _from_iterable(cls, it): return SortedSet(it) def __getitem__(self, index): """Lookup item at `index` in sorted items view. ``siv.__getitem__(index)`` <==> ``siv[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> siv = sd.items() >>> siv[0] ('a', 1) >>> siv[-1] ('c', 3) >>> siv[:] [('a', 1), ('b', 2), ('c', 3)] >>> siv[100] Traceback (most recent call last): ... IndexError: list index out of range :param index: integer or slice for indexing :return: item or list of items :raises IndexError: if index out of range """ _mapping = self._mapping _mapping_list = _mapping._list if isinstance(index, slice): keys = _mapping_list[index] return [(key, _mapping[key]) for key in keys] key = _mapping_list[index] return key, _mapping[key] __delitem__ = _view_delitem class SortedValuesView(ValuesView, Sequence): """Sorted values view is a dynamic view of the sorted dict's values. When the sorted dict's values change, the view reflects those changes. The values view implements the sequence abstract base class. """ __slots__ = () def __getitem__(self, index): """Lookup value at `index` in sorted values view. ``siv.__getitem__(index)`` <==> ``siv[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> sd = SortedDict({'a': 1, 'b': 2, 'c': 3}) >>> svv = sd.values() >>> svv[0] 1 >>> svv[-1] 3 >>> svv[:] [1, 2, 3] >>> svv[100] Traceback (most recent call last): ... IndexError: list index out of range :param index: integer or slice for indexing :return: value or list of values :raises IndexError: if index out of range """ _mapping = self._mapping _mapping_list = _mapping._list if isinstance(index, slice): keys = _mapping_list[index] return [_mapping[key] for key in keys] key = _mapping_list[index] return _mapping[key] __delitem__ = _view_delitem python-sortedcontainers-2.1.0/sortedcontainers/sortedlist.py000066400000000000000000002240151337542712000245630ustar00rootroot00000000000000"""Sorted List ============== :doc:`Sorted Containers` is an Apache2 licensed Python sorted collections library, written in pure-Python, and fast as C-extensions. The :doc:`introduction` is the best way to get started. Sorted list implementations: .. currentmodule:: sortedcontainers * :class:`SortedList` * :class:`SortedKeyList` """ # pylint: disable=too-many-lines from __future__ import print_function from bisect import bisect_left, bisect_right, insort from itertools import chain, repeat, starmap from math import log from operator import add, eq, ne, gt, ge, lt, le, iadd from textwrap import dedent ############################################################################### # BEGIN Python 2/3 Shims ############################################################################### try: from collections.abc import Sequence, MutableSequence except ImportError: from collections import Sequence, MutableSequence from functools import wraps from sys import hexversion if hexversion < 0x03000000: from itertools import imap as map # pylint: disable=redefined-builtin from itertools import izip as zip # pylint: disable=redefined-builtin try: from thread import get_ident except ImportError: from dummy_thread import get_ident else: from functools import reduce try: from _thread import get_ident except ImportError: from _dummy_thread import get_ident def recursive_repr(fillvalue='...'): "Decorator to make a repr function return fillvalue for a recursive call." # pylint: disable=missing-docstring # Copied from reprlib in Python 3 # https://hg.python.org/cpython/file/3.6/Lib/reprlib.py def decorating_function(user_function): repr_running = set() @wraps(user_function) def wrapper(self): key = id(self), get_ident() if key in repr_running: return fillvalue repr_running.add(key) try: result = user_function(self) finally: repr_running.discard(key) return result return wrapper return decorating_function ############################################################################### # END Python 2/3 Shims ############################################################################### class SortedList(MutableSequence): """Sorted list is a sorted mutable sequence. Sorted list values are maintained in sorted order. Sorted list values must be comparable. The total ordering of values must not change while they are stored in the sorted list. Methods for adding values: * :func:`SortedList.add` * :func:`SortedList.update` * :func:`SortedList.__add__` * :func:`SortedList.__iadd__` * :func:`SortedList.__mul__` * :func:`SortedList.__imul__` Methods for removing values: * :func:`SortedList.clear` * :func:`SortedList.discard` * :func:`SortedList.remove` * :func:`SortedList.pop` * :func:`SortedList.__delitem__` Methods for looking up values: * :func:`SortedList.bisect_left` * :func:`SortedList.bisect_right` * :func:`SortedList.count` * :func:`SortedList.index` * :func:`SortedList.__contains__` * :func:`SortedList.__getitem__` Methods for iterating values: * :func:`SortedList.irange` * :func:`SortedList.islice` * :func:`SortedList.__iter__` * :func:`SortedList.__reversed__` Methods for miscellany: * :func:`SortedList.copy` * :func:`SortedList.__len__` * :func:`SortedList.__repr__` * :func:`SortedList._check` * :func:`SortedList._reset` Sorted lists use lexicographical ordering semantics when compared to other sequences. Some methods of mutable sequences are not supported and will raise not-implemented error. """ DEFAULT_LOAD_FACTOR = 1000 def __init__(self, iterable=None, key=None): """Initialize sorted list instance. Optional `iterable` argument provides an initial iterable of values to initialize the sorted list. Runtime complexity: `O(n*log(n))` >>> sl = SortedList() >>> sl SortedList([]) >>> sl = SortedList([3, 1, 2, 5, 4]) >>> sl SortedList([1, 2, 3, 4, 5]) :param iterable: initial values (optional) """ assert key is None self._len = 0 self._load = self.DEFAULT_LOAD_FACTOR self._lists = [] self._maxes = [] self._index = [] self._offset = 0 if iterable is not None: self._update(iterable) def __new__(cls, iterable=None, key=None): """Create new sorted list or sorted-key list instance. Optional `key`-function argument will return an instance of subtype :class:`SortedKeyList`. >>> sl = SortedList() >>> isinstance(sl, SortedList) True >>> sl = SortedList(key=lambda x: -x) >>> isinstance(sl, SortedList) True >>> isinstance(sl, SortedKeyList) True :param iterable: initial values (optional) :param key: function used to extract comparison key (optional) :return: sorted list or sorted-key list instance """ # pylint: disable=unused-argument if key is None: return object.__new__(cls) else: if cls is SortedList: return object.__new__(SortedKeyList) else: raise TypeError('inherit SortedKeyList for key argument') @property def key(self): # pylint: disable=useless-return """Function used to extract comparison key from values. Sorted list compares values directly so the key function is none. """ return None def _reset(self, load): """Reset sorted list load factor. The `load` specifies the load-factor of the list. The default load factor of 1000 works well for lists from tens to tens-of-millions of values. Good practice is to use a value that is the cube root of the list size. With billions of elements, the best load factor depends on your usage. It's best to leave the load factor at the default until you start benchmarking. See :doc:`implementation` and :doc:`performance-scale` for more information. Runtime complexity: `O(n)` :param int load: load-factor for sorted list sublists """ values = reduce(iadd, self._lists, []) self._clear() self._load = load self._update(values) def clear(self): """Remove all values from sorted list. Runtime complexity: `O(n)` """ self._len = 0 del self._lists[:] del self._maxes[:] del self._index[:] self._offset = 0 _clear = clear def add(self, value): """Add `value` to sorted list. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList() >>> sl.add(3) >>> sl.add(1) >>> sl.add(2) >>> sl SortedList([1, 2, 3]) :param value: value to add to sorted list """ _lists = self._lists _maxes = self._maxes if _maxes: pos = bisect_right(_maxes, value) if pos == len(_maxes): pos -= 1 _lists[pos].append(value) _maxes[pos] = value else: insort(_lists[pos], value) self._expand(pos) else: _lists.append([value]) _maxes.append(value) self._len += 1 def _expand(self, pos): """Split sublists with length greater than double the load-factor. Updates the index when the sublist length is less than double the load level. This requires incrementing the nodes in a traversal from the leaf node to the root. For an example traversal see ``SortedList._loc``. """ _load = self._load _lists = self._lists _index = self._index if len(_lists[pos]) > (_load << 1): _maxes = self._maxes _lists_pos = _lists[pos] half = _lists_pos[_load:] del _lists_pos[_load:] _maxes[pos] = _lists_pos[-1] _lists.insert(pos + 1, half) _maxes.insert(pos + 1, half[-1]) del _index[:] else: if _index: child = self._offset + pos while child: _index[child] += 1 child = (child - 1) >> 1 _index[0] += 1 def update(self, iterable): """Update sorted list by adding all values from `iterable`. Runtime complexity: `O(k*log(n))` -- approximate. >>> sl = SortedList() >>> sl.update([3, 1, 2]) >>> sl SortedList([1, 2, 3]) :param iterable: iterable of values to add """ _lists = self._lists _maxes = self._maxes values = sorted(iterable) if _maxes: if len(values) * 4 >= self._len: values.extend(chain.from_iterable(_lists)) values.sort() self._clear() else: _add = self.add for val in values: _add(val) return _load = self._load _lists.extend(values[pos:(pos + _load)] for pos in range(0, len(values), _load)) _maxes.extend(sublist[-1] for sublist in _lists) self._len = len(values) del self._index[:] _update = update def __contains__(self, value): """Return true if `value` is an element of the sorted list. ``sl.__contains__(value)`` <==> ``value in sl`` Runtime complexity: `O(log(n))` >>> sl = SortedList([1, 2, 3, 4, 5]) >>> 3 in sl True :param value: search for value in sorted list :return: true if `value` in sorted list """ _maxes = self._maxes if not _maxes: return False pos = bisect_left(_maxes, value) if pos == len(_maxes): return False _lists = self._lists idx = bisect_left(_lists[pos], value) return _lists[pos][idx] == value def discard(self, value): """Remove `value` from sorted list if it is a member. If `value` is not a member, do nothing. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList([1, 2, 3, 4, 5]) >>> sl.discard(5) >>> sl.discard(0) >>> sl == [1, 2, 3, 4] True :param value: `value` to discard from sorted list """ _maxes = self._maxes if not _maxes: return pos = bisect_left(_maxes, value) if pos == len(_maxes): return _lists = self._lists idx = bisect_left(_lists[pos], value) if _lists[pos][idx] == value: self._delete(pos, idx) def remove(self, value): """Remove `value` from sorted list; `value` must be a member. If `value` is not a member, raise ValueError. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList([1, 2, 3, 4, 5]) >>> sl.remove(5) >>> sl == [1, 2, 3, 4] True >>> sl.remove(0) Traceback (most recent call last): ... ValueError: 0 not in list :param value: `value` to remove from sorted list :raises ValueError: if `value` is not in sorted list """ _maxes = self._maxes if not _maxes: raise ValueError('{0!r} not in list'.format(value)) pos = bisect_left(_maxes, value) if pos == len(_maxes): raise ValueError('{0!r} not in list'.format(value)) _lists = self._lists idx = bisect_left(_lists[pos], value) if _lists[pos][idx] == value: self._delete(pos, idx) else: raise ValueError('{0!r} not in list'.format(value)) def _delete(self, pos, idx): """Delete value at the given `(pos, idx)`. Combines lists that are less than half the load level. Updates the index when the sublist length is more than half the load level. This requires decrementing the nodes in a traversal from the leaf node to the root. For an example traversal see ``SortedList._loc``. :param int pos: lists index :param int idx: sublist index """ _lists = self._lists _maxes = self._maxes _index = self._index _lists_pos = _lists[pos] del _lists_pos[idx] self._len -= 1 len_lists_pos = len(_lists_pos) if len_lists_pos > (self._load >> 1): _maxes[pos] = _lists_pos[-1] if _index: child = self._offset + pos while child > 0: _index[child] -= 1 child = (child - 1) >> 1 _index[0] -= 1 elif len(_lists) > 1: if not pos: pos += 1 prev = pos - 1 _lists[prev].extend(_lists[pos]) _maxes[prev] = _lists[prev][-1] del _lists[pos] del _maxes[pos] del _index[:] self._expand(prev) elif len_lists_pos: _maxes[pos] = _lists_pos[-1] else: del _lists[pos] del _maxes[pos] del _index[:] def _loc(self, pos, idx): """Convert an index pair (lists index, sublist index) into a single index number that corresponds to the position of the value in the sorted list. Many queries require the index be built. Details of the index are described in ``SortedList._build_index``. Indexing requires traversing the tree from a leaf node to the root. The parent of each node is easily computable at ``(pos - 1) // 2``. Left-child nodes are always at odd indices and right-child nodes are always at even indices. When traversing up from a right-child node, increment the total by the left-child node. The final index is the sum from traversal and the index in the sublist. For example, using the index from ``SortedList._build_index``:: _index = 14 5 9 3 2 4 5 _offset = 3 Tree:: 14 5 9 3 2 4 5 Converting an index pair (2, 3) into a single index involves iterating like so: 1. Starting at the leaf node: offset + alpha = 3 + 2 = 5. We identify the node as a left-child node. At such nodes, we simply traverse to the parent. 2. At node 9, position 2, we recognize the node as a right-child node and accumulate the left-child in our total. Total is now 5 and we traverse to the parent at position 0. 3. Iteration ends at the root. The index is then the sum of the total and sublist index: 5 + 3 = 8. :param int pos: lists index :param int idx: sublist index :return: index in sorted list """ if not pos: return idx _index = self._index if not _index: self._build_index() total = 0 # Increment pos to point in the index to len(self._lists[pos]). pos += self._offset # Iterate until reaching the root of the index tree at pos = 0. while pos: # Right-child nodes are at odd indices. At such indices # account the total below the left child node. if not pos & 1: total += _index[pos - 1] # Advance pos to the parent node. pos = (pos - 1) >> 1 return total + idx def _pos(self, idx): """Convert an index into an index pair (lists index, sublist index) that can be used to access the corresponding lists position. Many queries require the index be built. Details of the index are described in ``SortedList._build_index``. Indexing requires traversing the tree to a leaf node. Each node has two children which are easily computable. Given an index, pos, the left-child is at ``pos * 2 + 1`` and the right-child is at ``pos * 2 + 2``. When the index is less than the left-child, traversal moves to the left sub-tree. Otherwise, the index is decremented by the left-child and traversal moves to the right sub-tree. At a child node, the indexing pair is computed from the relative position of the child node as compared with the offset and the remaining index. For example, using the index from ``SortedList._build_index``:: _index = 14 5 9 3 2 4 5 _offset = 3 Tree:: 14 5 9 3 2 4 5 Indexing position 8 involves iterating like so: 1. Starting at the root, position 0, 8 is compared with the left-child node (5) which it is greater than. When greater the index is decremented and the position is updated to the right child node. 2. At node 9 with index 3, we again compare the index to the left-child node with value 4. Because the index is the less than the left-child node, we simply traverse to the left. 3. At node 4 with index 3, we recognize that we are at a leaf node and stop iterating. 4. To compute the sublist index, we subtract the offset from the index of the leaf node: 5 - 3 = 2. To compute the index in the sublist, we simply use the index remaining from iteration. In this case, 3. The final index pair from our example is (2, 3) which corresponds to index 8 in the sorted list. :param int idx: index in sorted list :return: (lists index, sublist index) pair """ if idx < 0: last_len = len(self._lists[-1]) if (-idx) <= last_len: return len(self._lists) - 1, last_len + idx idx += self._len if idx < 0: raise IndexError('list index out of range') elif idx >= self._len: raise IndexError('list index out of range') if idx < len(self._lists[0]): return 0, idx _index = self._index if not _index: self._build_index() pos = 0 child = 1 len_index = len(_index) while child < len_index: index_child = _index[child] if idx < index_child: pos = child else: idx -= index_child pos = child + 1 child = (pos << 1) + 1 return (pos - self._offset, idx) def _build_index(self): """Build a positional index for indexing the sorted list. Indexes are represented as binary trees in a dense array notation similar to a binary heap. For example, given a lists representation storing integers:: 0: [1, 2, 3] 1: [4, 5] 2: [6, 7, 8, 9] 3: [10, 11, 12, 13, 14] The first transformation maps the sub-lists by their length. The first row of the index is the length of the sub-lists:: 0: [3, 2, 4, 5] Each row after that is the sum of consecutive pairs of the previous row:: 1: [5, 9] 2: [14] Finally, the index is built by concatenating these lists together:: _index = [14, 5, 9, 3, 2, 4, 5] An offset storing the start of the first row is also stored:: _offset = 3 When built, the index can be used for efficient indexing into the list. See the comment and notes on ``SortedList._pos`` for details. """ row0 = list(map(len, self._lists)) if len(row0) == 1: self._index[:] = row0 self._offset = 0 return head = iter(row0) tail = iter(head) row1 = list(starmap(add, zip(head, tail))) if len(row0) & 1: row1.append(row0[-1]) if len(row1) == 1: self._index[:] = row1 + row0 self._offset = 1 return size = 2 ** (int(log(len(row1) - 1, 2)) + 1) row1.extend(repeat(0, size - len(row1))) tree = [row0, row1] while len(tree[-1]) > 1: head = iter(tree[-1]) tail = iter(head) row = list(starmap(add, zip(head, tail))) tree.append(row) reduce(iadd, reversed(tree), self._index) self._offset = size * 2 - 1 def __delitem__(self, index): """Remove value at `index` from sorted list. ``sl.__delitem__(index)`` <==> ``del sl[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList('abcde') >>> del sl[2] >>> sl SortedList(['a', 'b', 'd', 'e']) >>> del sl[:2] >>> sl SortedList(['d', 'e']) :param index: integer or slice for indexing :raises IndexError: if index out of range """ if isinstance(index, slice): start, stop, step = index.indices(self._len) if step == 1 and start < stop: if start == 0 and stop == self._len: return self._clear() elif self._len <= 8 * (stop - start): values = self._getitem(slice(None, start)) if stop < self._len: values += self._getitem(slice(stop, None)) self._clear() return self._update(values) indices = range(start, stop, step) # Delete items from greatest index to least so # that the indices remain valid throughout iteration. if step > 0: indices = reversed(indices) _pos, _delete = self._pos, self._delete for index in indices: pos, idx = _pos(index) _delete(pos, idx) else: pos, idx = self._pos(index) self._delete(pos, idx) def __getitem__(self, index): """Lookup value at `index` in sorted list. ``sl.__getitem__(index)`` <==> ``sl[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList('abcde') >>> sl[1] 'b' >>> sl[-1] 'e' >>> sl[2:5] ['c', 'd', 'e'] :param index: integer or slice for indexing :return: value or list of values :raises IndexError: if index out of range """ _lists = self._lists if isinstance(index, slice): start, stop, step = index.indices(self._len) if step == 1 and start < stop: if start == 0 and stop == self._len: return reduce(iadd, self._lists, []) start_pos, start_idx = self._pos(start) if stop == self._len: stop_pos = len(_lists) - 1 stop_idx = len(_lists[stop_pos]) else: stop_pos, stop_idx = self._pos(stop) if start_pos == stop_pos: return _lists[start_pos][start_idx:stop_idx] prefix = _lists[start_pos][start_idx:] middle = _lists[(start_pos + 1):stop_pos] result = reduce(iadd, middle, prefix) result += _lists[stop_pos][:stop_idx] return result if step == -1 and start > stop: result = self._getitem(slice(stop + 1, start + 1)) result.reverse() return result # Return a list because a negative step could # reverse the order of the items and this could # be the desired behavior. indices = range(start, stop, step) return list(self._getitem(index) for index in indices) else: if self._len: if index == 0: return _lists[0][0] elif index == -1: return _lists[-1][-1] else: raise IndexError('list index out of range') if 0 <= index < len(_lists[0]): return _lists[0][index] len_last = len(_lists[-1]) if -len_last < index < 0: return _lists[-1][len_last + index] pos, idx = self._pos(index) return _lists[pos][idx] _getitem = __getitem__ def __setitem__(self, index, value): """Raise not-implemented error. ``sl.__setitem__(index, value)`` <==> ``sl[index] = value`` :raises NotImplementedError: use ``del sl[index]`` and ``sl.add(value)`` instead """ message = 'use ``del sl[index]`` and ``sl.add(value)`` instead' raise NotImplementedError(message) def __iter__(self): """Return an iterator over the sorted list. ``sl.__iter__()`` <==> ``iter(sl)`` Iterating the sorted list while adding or deleting values may raise a :exc:`RuntimeError` or fail to iterate over all values. """ return chain.from_iterable(self._lists) def __reversed__(self): """Return a reverse iterator over the sorted list. ``sl.__reversed__()`` <==> ``reversed(sl)`` Iterating the sorted list while adding or deleting values may raise a :exc:`RuntimeError` or fail to iterate over all values. """ return chain.from_iterable(map(reversed, reversed(self._lists))) def reverse(self): """Raise not-implemented error. Sorted list maintains values in ascending sort order. Values may not be reversed in-place. Use ``reversed(sl)`` for an iterator over values in descending sort order. Implemented to override `MutableSequence.reverse` which provides an erroneous default implementation. :raises NotImplementedError: use ``reversed(sl)`` instead """ raise NotImplementedError('use ``reversed(sl)`` instead') def islice(self, start=None, stop=None, reverse=False): """Return an iterator that slices sorted list from `start` to `stop`. The `start` and `stop` index are treated inclusive and exclusive, respectively. Both `start` and `stop` default to `None` which is automatically inclusive of the beginning and end of the sorted list. When `reverse` is `True` the values are yielded from the iterator in reverse order; `reverse` defaults to `False`. >>> sl = SortedList('abcdefghij') >>> it = sl.islice(2, 6) >>> list(it) ['c', 'd', 'e', 'f'] :param int start: start index (inclusive) :param int stop: stop index (exclusive) :param bool reverse: yield values in reverse order :return: iterator """ _len = self._len if not _len: return iter(()) start, stop, _ = slice(start, stop).indices(self._len) if start >= stop: return iter(()) _pos = self._pos min_pos, min_idx = _pos(start) if stop == _len: max_pos = len(self._lists) - 1 max_idx = len(self._lists[-1]) else: max_pos, max_idx = _pos(stop) return self._islice(min_pos, min_idx, max_pos, max_idx, reverse) def _islice(self, min_pos, min_idx, max_pos, max_idx, reverse): """Return an iterator that slices sorted list using two index pairs. The index pairs are (min_pos, min_idx) and (max_pos, max_idx), the first inclusive and the latter exclusive. See `_pos` for details on how an index is converted to an index pair. When `reverse` is `True`, values are yielded from the iterator in reverse order. """ _lists = self._lists if min_pos > max_pos: return iter(()) if min_pos == max_pos: if reverse: indices = reversed(range(min_idx, max_idx)) return map(_lists[min_pos].__getitem__, indices) indices = range(min_idx, max_idx) return map(_lists[min_pos].__getitem__, indices) next_pos = min_pos + 1 if next_pos == max_pos: if reverse: min_indices = range(min_idx, len(_lists[min_pos])) max_indices = range(max_idx) return chain( map(_lists[max_pos].__getitem__, reversed(max_indices)), map(_lists[min_pos].__getitem__, reversed(min_indices)), ) min_indices = range(min_idx, len(_lists[min_pos])) max_indices = range(max_idx) return chain( map(_lists[min_pos].__getitem__, min_indices), map(_lists[max_pos].__getitem__, max_indices), ) if reverse: min_indices = range(min_idx, len(_lists[min_pos])) sublist_indices = range(next_pos, max_pos) sublists = map(_lists.__getitem__, reversed(sublist_indices)) max_indices = range(max_idx) return chain( map(_lists[max_pos].__getitem__, reversed(max_indices)), chain.from_iterable(map(reversed, sublists)), map(_lists[min_pos].__getitem__, reversed(min_indices)), ) min_indices = range(min_idx, len(_lists[min_pos])) sublist_indices = range(next_pos, max_pos) sublists = map(_lists.__getitem__, sublist_indices) max_indices = range(max_idx) return chain( map(_lists[min_pos].__getitem__, min_indices), chain.from_iterable(sublists), map(_lists[max_pos].__getitem__, max_indices), ) def irange(self, minimum=None, maximum=None, inclusive=(True, True), reverse=False): """Create an iterator of values between `minimum` and `maximum`. Both `minimum` and `maximum` default to `None` which is automatically inclusive of the beginning and end of the sorted list. The argument `inclusive` is a pair of booleans that indicates whether the minimum and maximum ought to be included in the range, respectively. The default is ``(True, True)`` such that the range is inclusive of both minimum and maximum. When `reverse` is `True` the values are yielded from the iterator in reverse order; `reverse` defaults to `False`. >>> sl = SortedList('abcdefghij') >>> it = sl.irange('c', 'f') >>> list(it) ['c', 'd', 'e', 'f'] :param minimum: minimum value to start iterating :param maximum: maximum value to stop iterating :param inclusive: pair of booleans :param bool reverse: yield values in reverse order :return: iterator """ _maxes = self._maxes if not _maxes: return iter(()) _lists = self._lists # Calculate the minimum (pos, idx) pair. By default this location # will be inclusive in our calculation. if minimum is None: min_pos = 0 min_idx = 0 else: if inclusive[0]: min_pos = bisect_left(_maxes, minimum) if min_pos == len(_maxes): return iter(()) min_idx = bisect_left(_lists[min_pos], minimum) else: min_pos = bisect_right(_maxes, minimum) if min_pos == len(_maxes): return iter(()) min_idx = bisect_right(_lists[min_pos], minimum) # Calculate the maximum (pos, idx) pair. By default this location # will be exclusive in our calculation. if maximum is None: max_pos = len(_maxes) - 1 max_idx = len(_lists[max_pos]) else: if inclusive[1]: max_pos = bisect_right(_maxes, maximum) if max_pos == len(_maxes): max_pos -= 1 max_idx = len(_lists[max_pos]) else: max_idx = bisect_right(_lists[max_pos], maximum) else: max_pos = bisect_left(_maxes, maximum) if max_pos == len(_maxes): max_pos -= 1 max_idx = len(_lists[max_pos]) else: max_idx = bisect_left(_lists[max_pos], maximum) return self._islice(min_pos, min_idx, max_pos, max_idx, reverse) def __len__(self): """Return the size of the sorted list. ``sl.__len__()`` <==> ``len(sl)`` :return: size of sorted list """ return self._len def bisect_left(self, value): """Return an index to insert `value` in the sorted list. If the `value` is already present, the insertion point will be before (to the left of) any existing values. Similar to the `bisect` module in the standard library. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList([10, 11, 12, 13, 14]) >>> sl.bisect_left(12) 2 :param value: insertion index of value in sorted list :return: index """ _maxes = self._maxes if not _maxes: return 0 pos = bisect_left(_maxes, value) if pos == len(_maxes): return self._len idx = bisect_left(self._lists[pos], value) return self._loc(pos, idx) def bisect_right(self, value): """Return an index to insert `value` in the sorted list. Similar to `bisect_left`, but if `value` is already present, the insertion point with be after (to the right of) any existing values. Similar to the `bisect` module in the standard library. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList([10, 11, 12, 13, 14]) >>> sl.bisect_right(12) 3 :param value: insertion index of value in sorted list :return: index """ _maxes = self._maxes if not _maxes: return 0 pos = bisect_right(_maxes, value) if pos == len(_maxes): return self._len idx = bisect_right(self._lists[pos], value) return self._loc(pos, idx) bisect = bisect_right _bisect_right = bisect_right def count(self, value): """Return number of occurrences of `value` in the sorted list. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList([1, 2, 2, 3, 3, 3, 4, 4, 4, 4]) >>> sl.count(3) 3 :param value: value to count in sorted list :return: count """ _maxes = self._maxes if not _maxes: return 0 pos_left = bisect_left(_maxes, value) if pos_left == len(_maxes): return 0 _lists = self._lists idx_left = bisect_left(_lists[pos_left], value) pos_right = bisect_right(_maxes, value) if pos_right == len(_maxes): return self._len - self._loc(pos_left, idx_left) idx_right = bisect_right(_lists[pos_right], value) if pos_left == pos_right: return idx_right - idx_left right = self._loc(pos_right, idx_right) left = self._loc(pos_left, idx_left) return right - left def copy(self): """Return a shallow copy of the sorted list. Runtime complexity: `O(n)` :return: new sorted list """ return self.__class__(self) __copy__ = copy def append(self, value): """Raise not-implemented error. Implemented to override `MutableSequence.append` which provides an erroneous default implementation. :raises NotImplementedError: use ``sl.add(value)`` instead """ raise NotImplementedError('use ``sl.add(value)`` instead') def extend(self, values): """Raise not-implemented error. Implemented to override `MutableSequence.extend` which provides an erroneous default implementation. :raises NotImplementedError: use ``sl.update(values)`` instead """ raise NotImplementedError('use ``sl.update(values)`` instead') def insert(self, index, value): """Raise not-implemented error. :raises NotImplementedError: use ``sl.add(value)`` instead """ raise NotImplementedError('use ``sl.add(value)`` instead') def pop(self, index=-1): """Remove and return value at `index` in sorted list. Raise :exc:`IndexError` if the sorted list is empty or index is out of range. Negative indices are supported. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList('abcde') >>> sl.pop() 'e' >>> sl.pop(2) 'c' >>> sl SortedList(['a', 'b', 'd']) :param int index: index of value (default -1) :return: value :raises IndexError: if index is out of range """ if not self._len: raise IndexError('pop index out of range') _lists = self._lists if index == 0: val = _lists[0][0] self._delete(0, 0) return val if index == -1: pos = len(_lists) - 1 loc = len(_lists[pos]) - 1 val = _lists[pos][loc] self._delete(pos, loc) return val if 0 <= index < len(_lists[0]): val = _lists[0][index] self._delete(0, index) return val len_last = len(_lists[-1]) if -len_last < index < 0: pos = len(_lists) - 1 loc = len_last + index val = _lists[pos][loc] self._delete(pos, loc) return val pos, idx = self._pos(index) val = _lists[pos][idx] self._delete(pos, idx) return val def index(self, value, start=None, stop=None): """Return first index of value in sorted list. Raise ValueError if `value` is not present. Index must be between `start` and `stop` for the `value` to be considered present. The default value, None, for `start` and `stop` indicate the beginning and end of the sorted list. Negative indices are supported. Runtime complexity: `O(log(n))` -- approximate. >>> sl = SortedList('abcde') >>> sl.index('d') 3 >>> sl.index('z') Traceback (most recent call last): ... ValueError: 'z' is not in list :param value: value in sorted list :param int start: start index (default None, start of sorted list) :param int stop: stop index (default None, end of sorted list) :return: index of value :raises ValueError: if value is not present """ _len = self._len if not _len: raise ValueError('{0!r} is not in list'.format(value)) if start is None: start = 0 if start < 0: start += _len if start < 0: start = 0 if stop is None: stop = _len if stop < 0: stop += _len if stop > _len: stop = _len if stop <= start: raise ValueError('{0!r} is not in list'.format(value)) _maxes = self._maxes pos_left = bisect_left(_maxes, value) if pos_left == len(_maxes): raise ValueError('{0!r} is not in list'.format(value)) _lists = self._lists idx_left = bisect_left(_lists[pos_left], value) if _lists[pos_left][idx_left] != value: raise ValueError('{0!r} is not in list'.format(value)) stop -= 1 left = self._loc(pos_left, idx_left) if start <= left: if left <= stop: return left else: right = self._bisect_right(value) - 1 if start <= right: return start raise ValueError('{0!r} is not in list'.format(value)) def __add__(self, other): """Return new sorted list containing all values in both sequences. ``sl.__add__(other)`` <==> ``sl + other`` Values in `other` do not need to be in sorted order. Runtime complexity: `O(n*log(n))` >>> sl1 = SortedList('bat') >>> sl2 = SortedList('cat') >>> sl1 + sl2 SortedList(['a', 'a', 'b', 'c', 't', 't']) :param other: other iterable :return: new sorted list """ values = reduce(iadd, self._lists, []) values.extend(other) return self.__class__(values) __radd__ = __add__ def __iadd__(self, other): """Update sorted list with values from `other`. ``sl.__iadd__(other)`` <==> ``sl += other`` Values in `other` do not need to be in sorted order. Runtime complexity: `O(k*log(n))` -- approximate. >>> sl = SortedList('bat') >>> sl += 'cat' >>> sl SortedList(['a', 'a', 'b', 'c', 't', 't']) :param other: other iterable :return: existing sorted list """ self._update(other) return self def __mul__(self, num): """Return new sorted list with `num` shallow copies of values. ``sl.__mul__(num)`` <==> ``sl * num`` Runtime complexity: `O(n*log(n))` >>> sl = SortedList('abc') >>> sl * 3 SortedList(['a', 'a', 'a', 'b', 'b', 'b', 'c', 'c', 'c']) :param int num: count of shallow copies :return: new sorted list """ values = reduce(iadd, self._lists, []) * num return self.__class__(values) __rmul__ = __mul__ def __imul__(self, num): """Update the sorted list with `num` shallow copies of values. ``sl.__imul__(num)`` <==> ``sl *= num`` Runtime complexity: `O(n*log(n))` >>> sl = SortedList('abc') >>> sl *= 3 >>> sl SortedList(['a', 'a', 'a', 'b', 'b', 'b', 'c', 'c', 'c']) :param int num: count of shallow copies :return: existing sorted list """ values = reduce(iadd, self._lists, []) * num self._clear() self._update(values) return self def __make_cmp(seq_op, symbol, doc): "Make comparator method." def comparer(self, other): "Compare method for sorted list and sequence." if not isinstance(other, Sequence): return NotImplemented self_len = self._len len_other = len(other) if self_len != len_other: if seq_op is eq: return False if seq_op is ne: return True for alpha, beta in zip(self, other): if alpha != beta: return seq_op(alpha, beta) return seq_op(self_len, len_other) seq_op_name = seq_op.__name__ comparer.__name__ = '__{0}__'.format(seq_op_name) doc_str = """Return true if and only if sorted list is {0} `other`. ``sl.__{1}__(other)`` <==> ``sl {2} other`` Comparisons use lexicographical order as with sequences. Runtime complexity: `O(n)` :param other: `other` sequence :return: true if sorted list is {0} `other` """ comparer.__doc__ = dedent(doc_str.format(doc, seq_op_name, symbol)) return comparer __eq__ = __make_cmp(eq, '==', 'equal to') __ne__ = __make_cmp(ne, '!=', 'not equal to') __lt__ = __make_cmp(lt, '<', 'less than') __gt__ = __make_cmp(gt, '>', 'greater than') __le__ = __make_cmp(le, '<=', 'less than or equal to') __ge__ = __make_cmp(ge, '>=', 'greater than or equal to') __make_cmp = staticmethod(__make_cmp) @recursive_repr() def __repr__(self): """Return string representation of sorted list. ``sl.__repr__()`` <==> ``repr(sl)`` :return: string representation """ return '{0}({1!r})'.format(type(self).__name__, list(self)) def _check(self): """Check invariants of sorted list. Runtime complexity: `O(n)` """ try: assert self._load >= 4 assert len(self._maxes) == len(self._lists) assert self._len == sum(len(sublist) for sublist in self._lists) # Check all sublists are sorted. for sublist in self._lists: for pos in range(1, len(sublist)): assert sublist[pos - 1] <= sublist[pos] # Check beginning/end of sublists are sorted. for pos in range(1, len(self._lists)): assert self._lists[pos - 1][-1] <= self._lists[pos][0] # Check _maxes index is the last value of each sublist. for pos in range(len(self._maxes)): assert self._maxes[pos] == self._lists[pos][-1] # Check sublist lengths are less than double load-factor. double = self._load << 1 assert all(len(sublist) <= double for sublist in self._lists) # Check sublist lengths are greater than half load-factor for all # but the last sublist. half = self._load >> 1 for pos in range(0, len(self._lists) - 1): assert len(self._lists[pos]) >= half if self._index: assert self._len == self._index[0] assert len(self._index) == self._offset + len(self._lists) # Check index leaf nodes equal length of sublists. for pos in range(len(self._lists)): leaf = self._index[self._offset + pos] assert leaf == len(self._lists[pos]) # Check index branch nodes are the sum of their children. for pos in range(self._offset): child = (pos << 1) + 1 if child >= len(self._index): assert self._index[pos] == 0 elif child + 1 == len(self._index): assert self._index[pos] == self._index[child] else: child_sum = self._index[child] + self._index[child + 1] assert child_sum == self._index[pos] except: import sys import traceback traceback.print_exc(file=sys.stdout) print('len', self._len) print('load', self._load) print('offset', self._offset) print('len_index', len(self._index)) print('index', self._index) print('len_maxes', len(self._maxes)) print('maxes', self._maxes) print('len_lists', len(self._lists)) print('lists', self._lists) raise def identity(value): "Identity function." return value class SortedKeyList(SortedList): """Sorted-key list is a subtype of sorted list. The sorted-key list maintains values in comparison order based on the result of a key function applied to every value. All the same methods that are available in :class:`SortedList` are also available in :class:`SortedKeyList`. Additional methods provided: * :attr:`SortedKeyList.key` * :func:`SortedKeyList.bisect_key_left` * :func:`SortedKeyList.bisect_key_right` * :func:`SortedKeyList.irange_key` Some examples below use: >>> from operator import neg >>> neg >>> neg(1) -1 """ def __init__(self, iterable=None, key=identity): """Initialize sorted-key list instance. Optional `iterable` argument provides an initial iterable of values to initialize the sorted-key list. Optional `key` argument defines a callable that, like the `key` argument to Python's `sorted` function, extracts a comparison key from each value. The default is the identity function. Runtime complexity: `O(n*log(n))` >>> from operator import neg >>> skl = SortedKeyList(key=neg) >>> skl SortedKeyList([], key=) >>> skl = SortedKeyList([3, 1, 2], key=neg) >>> skl SortedKeyList([3, 2, 1], key=) :param iterable: initial values (optional) :param key: function used to extract comparison key (optional) """ self._key = key self._len = 0 self._load = self.DEFAULT_LOAD_FACTOR self._lists = [] self._keys = [] self._maxes = [] self._index = [] self._offset = 0 if iterable is not None: self._update(iterable) def __new__(cls, iterable=None, key=identity): return object.__new__(cls) @property def key(self): "Function used to extract comparison key from values." return self._key def clear(self): """Remove all values from sorted-key list. Runtime complexity: `O(n)` """ self._len = 0 del self._lists[:] del self._keys[:] del self._maxes[:] del self._index[:] _clear = clear def add(self, value): """Add `value` to sorted-key list. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList(key=neg) >>> skl.add(3) >>> skl.add(1) >>> skl.add(2) >>> skl SortedKeyList([3, 2, 1], key=) :param value: value to add to sorted-key list """ _lists = self._lists _keys = self._keys _maxes = self._maxes key = self._key(value) if _maxes: pos = bisect_right(_maxes, key) if pos == len(_maxes): pos -= 1 _lists[pos].append(value) _keys[pos].append(key) _maxes[pos] = key else: idx = bisect_right(_keys[pos], key) _lists[pos].insert(idx, value) _keys[pos].insert(idx, key) self._expand(pos) else: _lists.append([value]) _keys.append([key]) _maxes.append(key) self._len += 1 def _expand(self, pos): """Split sublists with length greater than double the load-factor. Updates the index when the sublist length is less than double the load level. This requires incrementing the nodes in a traversal from the leaf node to the root. For an example traversal see ``SortedList._loc``. """ _lists = self._lists _keys = self._keys _index = self._index if len(_keys[pos]) > (self._load << 1): _maxes = self._maxes _load = self._load _lists_pos = _lists[pos] _keys_pos = _keys[pos] half = _lists_pos[_load:] half_keys = _keys_pos[_load:] del _lists_pos[_load:] del _keys_pos[_load:] _maxes[pos] = _keys_pos[-1] _lists.insert(pos + 1, half) _keys.insert(pos + 1, half_keys) _maxes.insert(pos + 1, half_keys[-1]) del _index[:] else: if _index: child = self._offset + pos while child: _index[child] += 1 child = (child - 1) >> 1 _index[0] += 1 def update(self, iterable): """Update sorted-key list by adding all values from `iterable`. Runtime complexity: `O(k*log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList(key=neg) >>> skl.update([3, 1, 2]) >>> skl SortedKeyList([3, 2, 1], key=) :param iterable: iterable of values to add """ _lists = self._lists _keys = self._keys _maxes = self._maxes values = sorted(iterable, key=self._key) if _maxes: if len(values) * 4 >= self._len: values.extend(chain.from_iterable(_lists)) values.sort(key=self._key) self._clear() else: _add = self.add for val in values: _add(val) return _load = self._load _lists.extend(values[pos:(pos + _load)] for pos in range(0, len(values), _load)) _keys.extend(list(map(self._key, _list)) for _list in _lists) _maxes.extend(sublist[-1] for sublist in _keys) self._len = len(values) del self._index[:] _update = update def __contains__(self, value): """Return true if `value` is an element of the sorted-key list. ``skl.__contains__(value)`` <==> ``value in skl`` Runtime complexity: `O(log(n))` >>> from operator import neg >>> skl = SortedKeyList([1, 2, 3, 4, 5], key=neg) >>> 3 in skl True :param value: search for value in sorted-key list :return: true if `value` in sorted-key list """ _maxes = self._maxes if not _maxes: return False key = self._key(value) pos = bisect_left(_maxes, key) if pos == len(_maxes): return False _lists = self._lists _keys = self._keys idx = bisect_left(_keys[pos], key) len_keys = len(_keys) len_sublist = len(_keys[pos]) while True: if _keys[pos][idx] != key: return False if _lists[pos][idx] == value: return True idx += 1 if idx == len_sublist: pos += 1 if pos == len_keys: return False len_sublist = len(_keys[pos]) idx = 0 def discard(self, value): """Remove `value` from sorted-key list if it is a member. If `value` is not a member, do nothing. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList([5, 4, 3, 2, 1], key=neg) >>> skl.discard(1) >>> skl.discard(0) >>> skl == [5, 4, 3, 2] True :param value: `value` to discard from sorted-key list """ _maxes = self._maxes if not _maxes: return key = self._key(value) pos = bisect_left(_maxes, key) if pos == len(_maxes): return _lists = self._lists _keys = self._keys idx = bisect_left(_keys[pos], key) len_keys = len(_keys) len_sublist = len(_keys[pos]) while True: if _keys[pos][idx] != key: return if _lists[pos][idx] == value: self._delete(pos, idx) return idx += 1 if idx == len_sublist: pos += 1 if pos == len_keys: return len_sublist = len(_keys[pos]) idx = 0 def remove(self, value): """Remove `value` from sorted-key list; `value` must be a member. If `value` is not a member, raise ValueError. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList([1, 2, 3, 4, 5], key=neg) >>> skl.remove(5) >>> skl == [4, 3, 2, 1] True >>> skl.remove(0) Traceback (most recent call last): ... ValueError: 0 not in list :param value: `value` to remove from sorted-key list :raises ValueError: if `value` is not in sorted-key list """ _maxes = self._maxes if not _maxes: raise ValueError('{0!r} not in list'.format(value)) key = self._key(value) pos = bisect_left(_maxes, key) if pos == len(_maxes): raise ValueError('{0!r} not in list'.format(value)) _lists = self._lists _keys = self._keys idx = bisect_left(_keys[pos], key) len_keys = len(_keys) len_sublist = len(_keys[pos]) while True: if _keys[pos][idx] != key: raise ValueError('{0!r} not in list'.format(value)) if _lists[pos][idx] == value: self._delete(pos, idx) return idx += 1 if idx == len_sublist: pos += 1 if pos == len_keys: raise ValueError('{0!r} not in list'.format(value)) len_sublist = len(_keys[pos]) idx = 0 def _delete(self, pos, idx): """Delete value at the given `(pos, idx)`. Combines lists that are less than half the load level. Updates the index when the sublist length is more than half the load level. This requires decrementing the nodes in a traversal from the leaf node to the root. For an example traversal see ``SortedList._loc``. :param int pos: lists index :param int idx: sublist index """ _lists = self._lists _keys = self._keys _maxes = self._maxes _index = self._index keys_pos = _keys[pos] lists_pos = _lists[pos] del keys_pos[idx] del lists_pos[idx] self._len -= 1 len_keys_pos = len(keys_pos) if len_keys_pos > (self._load >> 1): _maxes[pos] = keys_pos[-1] if _index: child = self._offset + pos while child > 0: _index[child] -= 1 child = (child - 1) >> 1 _index[0] -= 1 elif len(_keys) > 1: if not pos: pos += 1 prev = pos - 1 _keys[prev].extend(_keys[pos]) _lists[prev].extend(_lists[pos]) _maxes[prev] = _keys[prev][-1] del _lists[pos] del _keys[pos] del _maxes[pos] del _index[:] self._expand(prev) elif len_keys_pos: _maxes[pos] = keys_pos[-1] else: del _lists[pos] del _keys[pos] del _maxes[pos] del _index[:] def irange(self, minimum=None, maximum=None, inclusive=(True, True), reverse=False): """Create an iterator of values between `minimum` and `maximum`. Both `minimum` and `maximum` default to `None` which is automatically inclusive of the beginning and end of the sorted-key list. The argument `inclusive` is a pair of booleans that indicates whether the minimum and maximum ought to be included in the range, respectively. The default is ``(True, True)`` such that the range is inclusive of both minimum and maximum. When `reverse` is `True` the values are yielded from the iterator in reverse order; `reverse` defaults to `False`. >>> from operator import neg >>> skl = SortedKeyList([11, 12, 13, 14, 15], key=neg) >>> it = skl.irange(14.5, 11.5) >>> list(it) [14, 13, 12] :param minimum: minimum value to start iterating :param maximum: maximum value to stop iterating :param inclusive: pair of booleans :param bool reverse: yield values in reverse order :return: iterator """ min_key = self._key(minimum) if minimum is not None else None max_key = self._key(maximum) if maximum is not None else None return self._irange_key( min_key=min_key, max_key=max_key, inclusive=inclusive, reverse=reverse, ) def irange_key(self, min_key=None, max_key=None, inclusive=(True, True), reverse=False): """Create an iterator of values between `min_key` and `max_key`. Both `min_key` and `max_key` default to `None` which is automatically inclusive of the beginning and end of the sorted-key list. The argument `inclusive` is a pair of booleans that indicates whether the minimum and maximum ought to be included in the range, respectively. The default is ``(True, True)`` such that the range is inclusive of both minimum and maximum. When `reverse` is `True` the values are yielded from the iterator in reverse order; `reverse` defaults to `False`. >>> from operator import neg >>> skl = SortedKeyList([11, 12, 13, 14, 15], key=neg) >>> it = skl.irange_key(-14, -12) >>> list(it) [14, 13, 12] :param min_key: minimum key to start iterating :param max_key: maximum key to stop iterating :param inclusive: pair of booleans :param bool reverse: yield values in reverse order :return: iterator """ _maxes = self._maxes if not _maxes: return iter(()) _keys = self._keys # Calculate the minimum (pos, idx) pair. By default this location # will be inclusive in our calculation. if min_key is None: min_pos = 0 min_idx = 0 else: if inclusive[0]: min_pos = bisect_left(_maxes, min_key) if min_pos == len(_maxes): return iter(()) min_idx = bisect_left(_keys[min_pos], min_key) else: min_pos = bisect_right(_maxes, min_key) if min_pos == len(_maxes): return iter(()) min_idx = bisect_right(_keys[min_pos], min_key) # Calculate the maximum (pos, idx) pair. By default this location # will be exclusive in our calculation. if max_key is None: max_pos = len(_maxes) - 1 max_idx = len(_keys[max_pos]) else: if inclusive[1]: max_pos = bisect_right(_maxes, max_key) if max_pos == len(_maxes): max_pos -= 1 max_idx = len(_keys[max_pos]) else: max_idx = bisect_right(_keys[max_pos], max_key) else: max_pos = bisect_left(_maxes, max_key) if max_pos == len(_maxes): max_pos -= 1 max_idx = len(_keys[max_pos]) else: max_idx = bisect_left(_keys[max_pos], max_key) return self._islice(min_pos, min_idx, max_pos, max_idx, reverse) _irange_key = irange_key def bisect_left(self, value): """Return an index to insert `value` in the sorted-key list. If the `value` is already present, the insertion point will be before (to the left of) any existing values. Similar to the `bisect` module in the standard library. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList([5, 4, 3, 2, 1], key=neg) >>> skl.bisect_left(1) 4 :param value: insertion index of value in sorted-key list :return: index """ return self._bisect_key_left(self._key(value)) def bisect_right(self, value): """Return an index to insert `value` in the sorted-key list. Similar to `bisect_left`, but if `value` is already present, the insertion point with be after (to the right of) any existing values. Similar to the `bisect` module in the standard library. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedList([5, 4, 3, 2, 1], key=neg) >>> skl.bisect_right(1) 5 :param value: insertion index of value in sorted-key list :return: index """ return self._bisect_key_right(self._key(value)) bisect = bisect_right def bisect_key_left(self, key): """Return an index to insert `key` in the sorted-key list. If the `key` is already present, the insertion point will be before (to the left of) any existing keys. Similar to the `bisect` module in the standard library. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList([5, 4, 3, 2, 1], key=neg) >>> skl.bisect_key_left(-1) 4 :param key: insertion index of key in sorted-key list :return: index """ _maxes = self._maxes if not _maxes: return 0 pos = bisect_left(_maxes, key) if pos == len(_maxes): return self._len idx = bisect_left(self._keys[pos], key) return self._loc(pos, idx) _bisect_key_left = bisect_key_left def bisect_key_right(self, key): """Return an index to insert `key` in the sorted-key list. Similar to `bisect_key_left`, but if `key` is already present, the insertion point with be after (to the right of) any existing keys. Similar to the `bisect` module in the standard library. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedList([5, 4, 3, 2, 1], key=neg) >>> skl.bisect_key_right(-1) 5 :param key: insertion index of key in sorted-key list :return: index """ _maxes = self._maxes if not _maxes: return 0 pos = bisect_right(_maxes, key) if pos == len(_maxes): return self._len idx = bisect_right(self._keys[pos], key) return self._loc(pos, idx) bisect_key = bisect_key_right _bisect_key_right = bisect_key_right def count(self, value): """Return number of occurrences of `value` in the sorted-key list. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList([4, 4, 4, 4, 3, 3, 3, 2, 2, 1], key=neg) >>> skl.count(2) 2 :param value: value to count in sorted-key list :return: count """ _maxes = self._maxes if not _maxes: return 0 key = self._key(value) pos = bisect_left(_maxes, key) if pos == len(_maxes): return 0 _lists = self._lists _keys = self._keys idx = bisect_left(_keys[pos], key) total = 0 len_keys = len(_keys) len_sublist = len(_keys[pos]) while True: if _keys[pos][idx] != key: return total if _lists[pos][idx] == value: total += 1 idx += 1 if idx == len_sublist: pos += 1 if pos == len_keys: return total len_sublist = len(_keys[pos]) idx = 0 def copy(self): """Return a shallow copy of the sorted-key list. Runtime complexity: `O(n)` :return: new sorted-key list """ return self.__class__(self, key=self._key) __copy__ = copy def index(self, value, start=None, stop=None): """Return first index of value in sorted-key list. Raise ValueError if `value` is not present. Index must be between `start` and `stop` for the `value` to be considered present. The default value, None, for `start` and `stop` indicate the beginning and end of the sorted-key list. Negative indices are supported. Runtime complexity: `O(log(n))` -- approximate. >>> from operator import neg >>> skl = SortedKeyList([5, 4, 3, 2, 1], key=neg) >>> skl.index(2) 3 >>> skl.index(0) Traceback (most recent call last): ... ValueError: 0 is not in list :param value: value in sorted-key list :param int start: start index (default None, start of sorted-key list) :param int stop: stop index (default None, end of sorted-key list) :return: index of value :raises ValueError: if value is not present """ _len = self._len if not _len: raise ValueError('{0!r} is not in list'.format(value)) if start is None: start = 0 if start < 0: start += _len if start < 0: start = 0 if stop is None: stop = _len if stop < 0: stop += _len if stop > _len: stop = _len if stop <= start: raise ValueError('{0!r} is not in list'.format(value)) _maxes = self._maxes key = self._key(value) pos = bisect_left(_maxes, key) if pos == len(_maxes): raise ValueError('{0!r} is not in list'.format(value)) stop -= 1 _lists = self._lists _keys = self._keys idx = bisect_left(_keys[pos], key) len_keys = len(_keys) len_sublist = len(_keys[pos]) while True: if _keys[pos][idx] != key: raise ValueError('{0!r} is not in list'.format(value)) if _lists[pos][idx] == value: loc = self._loc(pos, idx) if start <= loc <= stop: return loc elif loc > stop: break idx += 1 if idx == len_sublist: pos += 1 if pos == len_keys: raise ValueError('{0!r} is not in list'.format(value)) len_sublist = len(_keys[pos]) idx = 0 raise ValueError('{0!r} is not in list'.format(value)) def __add__(self, other): """Return new sorted-key list containing all values in both sequences. ``skl.__add__(other)`` <==> ``skl + other`` Values in `other` do not need to be in sorted-key order. Runtime complexity: `O(n*log(n))` >>> from operator import neg >>> skl1 = SortedKeyList([5, 4, 3], key=neg) >>> skl2 = SortedKeyList([2, 1, 0], key=neg) >>> skl1 + skl2 SortedKeyList([5, 4, 3, 2, 1, 0], key=) :param other: other iterable :return: new sorted-key list """ values = reduce(iadd, self._lists, []) values.extend(other) return self.__class__(values, key=self._key) __radd__ = __add__ def __mul__(self, num): """Return new sorted-key list with `num` shallow copies of values. ``skl.__mul__(num)`` <==> ``skl * num`` Runtime complexity: `O(n*log(n))` >>> from operator import neg >>> skl = SortedKeyList([3, 2, 1], key=neg) >>> skl * 2 SortedKeyList([3, 3, 2, 2, 1, 1], key=) :param int num: count of shallow copies :return: new sorted-key list """ values = reduce(iadd, self._lists, []) * num return self.__class__(values, key=self._key) @recursive_repr() def __repr__(self): """Return string representation of sorted-key list. ``skl.__repr__()`` <==> ``repr(skl)`` :return: string representation """ type_name = type(self).__name__ return '{0}({1!r}, key={2!r})'.format(type_name, list(self), self._key) def _check(self): """Check invariants of sorted-key list. Runtime complexity: `O(n)` """ try: assert self._load >= 4 assert len(self._maxes) == len(self._lists) == len(self._keys) assert self._len == sum(len(sublist) for sublist in self._lists) # Check all sublists are sorted. for sublist in self._keys: for pos in range(1, len(sublist)): assert sublist[pos - 1] <= sublist[pos] # Check beginning/end of sublists are sorted. for pos in range(1, len(self._keys)): assert self._keys[pos - 1][-1] <= self._keys[pos][0] # Check _keys matches _key mapped to _lists. for val_sublist, key_sublist in zip(self._lists, self._keys): assert len(val_sublist) == len(key_sublist) for val, key in zip(val_sublist, key_sublist): assert self._key(val) == key # Check _maxes index is the last value of each sublist. for pos in range(len(self._maxes)): assert self._maxes[pos] == self._keys[pos][-1] # Check sublist lengths are less than double load-factor. double = self._load << 1 assert all(len(sublist) <= double for sublist in self._lists) # Check sublist lengths are greater than half load-factor for all # but the last sublist. half = self._load >> 1 for pos in range(0, len(self._lists) - 1): assert len(self._lists[pos]) >= half if self._index: assert self._len == self._index[0] assert len(self._index) == self._offset + len(self._lists) # Check index leaf nodes equal length of sublists. for pos in range(len(self._lists)): leaf = self._index[self._offset + pos] assert leaf == len(self._lists[pos]) # Check index branch nodes are the sum of their children. for pos in range(self._offset): child = (pos << 1) + 1 if child >= len(self._index): assert self._index[pos] == 0 elif child + 1 == len(self._index): assert self._index[pos] == self._index[child] else: child_sum = self._index[child] + self._index[child + 1] assert child_sum == self._index[pos] except: import sys import traceback traceback.print_exc(file=sys.stdout) print('len', self._len) print('load', self._load) print('offset', self._offset) print('len_index', len(self._index)) print('index', self._index) print('len_maxes', len(self._maxes)) print('maxes', self._maxes) print('len_keys', len(self._keys)) print('keys', self._keys) print('len_lists', len(self._lists)) print('lists', self._lists) raise SortedListWithKey = SortedKeyList python-sortedcontainers-2.1.0/sortedcontainers/sortedset.py000066400000000000000000000465611337542712000244130ustar00rootroot00000000000000"""Sorted Set ============= :doc:`Sorted Containers` is an Apache2 licensed Python sorted collections library, written in pure-Python, and fast as C-extensions. The :doc:`introduction` is the best way to get started. Sorted set implementations: .. currentmodule:: sortedcontainers * :class:`SortedSet` """ from itertools import chain from operator import eq, ne, gt, ge, lt, le from textwrap import dedent from .sortedlist import SortedList, recursive_repr ############################################################################### # BEGIN Python 2/3 Shims ############################################################################### try: from collections.abc import MutableSet, Sequence, Set except ImportError: from collections import MutableSet, Sequence, Set ############################################################################### # END Python 2/3 Shims ############################################################################### class SortedSet(MutableSet, Sequence): """Sorted set is a sorted mutable set. Sorted set values are maintained in sorted order. The design of sorted set is simple: sorted set uses a set for set-operations and maintains a sorted list of values. Sorted set values must be hashable and comparable. The hash and total ordering of values must not change while they are stored in the sorted set. Mutable set methods: * :func:`SortedSet.__contains__` * :func:`SortedSet.__iter__` * :func:`SortedSet.__len__` * :func:`SortedSet.add` * :func:`SortedSet.discard` Sequence methods: * :func:`SortedSet.__getitem__` * :func:`SortedSet.__delitem__` * :func:`SortedSet.__reversed__` Methods for removing values: * :func:`SortedSet.clear` * :func:`SortedSet.pop` * :func:`SortedSet.remove` Set-operation methods: * :func:`SortedSet.difference` * :func:`SortedSet.difference_update` * :func:`SortedSet.intersection` * :func:`SortedSet.intersection_update` * :func:`SortedSet.symmetric_difference` * :func:`SortedSet.symmetric_difference_update` * :func:`SortedSet.union` * :func:`SortedSet.update` Methods for miscellany: * :func:`SortedSet.copy` * :func:`SortedSet.count` * :func:`SortedSet.__repr__` * :func:`SortedSet._check` Sorted list methods available: * :func:`SortedList.bisect_left` * :func:`SortedList.bisect_right` * :func:`SortedList.index` * :func:`SortedList.irange` * :func:`SortedList.islice` * :func:`SortedList._reset` Additional sorted list methods available, if key-function used: * :func:`SortedKeyList.bisect_key_left` * :func:`SortedKeyList.bisect_key_right` * :func:`SortedKeyList.irange_key` Sorted set comparisons use subset and superset relations. Two sorted sets are equal if and only if every element of each sorted set is contained in the other (each is a subset of the other). A sorted set is less than another sorted set if and only if the first sorted set is a proper subset of the second sorted set (is a subset, but is not equal). A sorted set is greater than another sorted set if and only if the first sorted set is a proper superset of the second sorted set (is a superset, but is not equal). """ def __init__(self, iterable=None, key=None): """Initialize sorted set instance. Optional `iterable` argument provides an initial iterable of values to initialize the sorted set. Optional `key` argument defines a callable that, like the `key` argument to Python's `sorted` function, extracts a comparison key from each value. The default, none, compares values directly. Runtime complexity: `O(n*log(n))` >>> ss = SortedSet([3, 1, 2, 5, 4]) >>> ss SortedSet([1, 2, 3, 4, 5]) >>> from operator import neg >>> ss = SortedSet([3, 1, 2, 5, 4], neg) >>> ss SortedSet([5, 4, 3, 2, 1], key=) :param iterable: initial values (optional) :param key: function used to extract comparison key (optional) """ self._key = key # SortedSet._fromset calls SortedSet.__init__ after initializing the # _set attribute. So only create a new set if the _set attribute is not # already present. if not hasattr(self, '_set'): self._set = set() self._list = SortedList(self._set, key=key) # Expose some set methods publicly. _set = self._set self.isdisjoint = _set.isdisjoint self.issubset = _set.issubset self.issuperset = _set.issuperset # Expose some sorted list methods publicly. _list = self._list self.bisect_left = _list.bisect_left self.bisect = _list.bisect self.bisect_right = _list.bisect_right self.index = _list.index self.irange = _list.irange self.islice = _list.islice self._reset = _list._reset if key is not None: self.bisect_key_left = _list.bisect_key_left self.bisect_key_right = _list.bisect_key_right self.bisect_key = _list.bisect_key self.irange_key = _list.irange_key if iterable is not None: self._update(iterable) @classmethod def _fromset(cls, values, key=None): """Initialize sorted set from existing set. Used internally by set operations that return a new set. """ sorted_set = object.__new__(cls) sorted_set._set = values sorted_set.__init__(key=key) return sorted_set @property def key(self): """Function used to extract comparison key from values. Sorted set compares values directly when the key function is none. """ return self._key def __contains__(self, value): """Return true if `value` is an element of the sorted set. ``ss.__contains__(value)`` <==> ``value in ss`` Runtime complexity: `O(1)` >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> 3 in ss True :param value: search for value in sorted set :return: true if `value` in sorted set """ return value in self._set def __getitem__(self, index): """Lookup value at `index` in sorted set. ``ss.__getitem__(index)`` <==> ``ss[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> ss = SortedSet('abcde') >>> ss[2] 'c' >>> ss[-1] 'e' >>> ss[2:5] ['c', 'd', 'e'] :param index: integer or slice for indexing :return: value or list of values :raises IndexError: if index out of range """ return self._list[index] def __delitem__(self, index): """Remove value at `index` from sorted set. ``ss.__delitem__(index)`` <==> ``del ss[index]`` Supports slicing. Runtime complexity: `O(log(n))` -- approximate. >>> ss = SortedSet('abcde') >>> del ss[2] >>> ss SortedSet(['a', 'b', 'd', 'e']) >>> del ss[:2] >>> ss SortedSet(['d', 'e']) :param index: integer or slice for indexing :raises IndexError: if index out of range """ _set = self._set _list = self._list if isinstance(index, slice): values = _list[index] _set.difference_update(values) else: value = _list[index] _set.remove(value) del _list[index] def __make_cmp(set_op, symbol, doc): "Make comparator method." def comparer(self, other): "Compare method for sorted set and set." if isinstance(other, SortedSet): return set_op(self._set, other._set) elif isinstance(other, Set): return set_op(self._set, other) return NotImplemented set_op_name = set_op.__name__ comparer.__name__ = '__{0}__'.format(set_op_name) doc_str = """Return true if and only if sorted set is {0} `other`. ``ss.__{1}__(other)`` <==> ``ss {2} other`` Comparisons use subset and superset semantics as with sets. Runtime complexity: `O(n)` :param other: `other` set :return: true if sorted set is {0} `other` """ comparer.__doc__ = dedent(doc_str.format(doc, set_op_name, symbol)) return comparer __eq__ = __make_cmp(eq, '==', 'equal to') __ne__ = __make_cmp(ne, '!=', 'not equal to') __lt__ = __make_cmp(lt, '<', 'a proper subset of') __gt__ = __make_cmp(gt, '>', 'a proper superset of') __le__ = __make_cmp(le, '<=', 'a subset of') __ge__ = __make_cmp(ge, '>=', 'a superset of') __make_cmp = staticmethod(__make_cmp) def __len__(self): """Return the size of the sorted set. ``ss.__len__()`` <==> ``len(ss)`` :return: size of sorted set """ return len(self._set) def __iter__(self): """Return an iterator over the sorted set. ``ss.__iter__()`` <==> ``iter(ss)`` Iterating the sorted set while adding or deleting values may raise a :exc:`RuntimeError` or fail to iterate over all values. """ return iter(self._list) def __reversed__(self): """Return a reverse iterator over the sorted set. ``ss.__reversed__()`` <==> ``reversed(ss)`` Iterating the sorted set while adding or deleting values may raise a :exc:`RuntimeError` or fail to iterate over all values. """ return reversed(self._list) def add(self, value): """Add `value` to sorted set. Runtime complexity: `O(log(n))` -- approximate. >>> ss = SortedSet() >>> ss.add(3) >>> ss.add(1) >>> ss.add(2) >>> ss SortedSet([1, 2, 3]) :param value: value to add to sorted set """ _set = self._set if value not in _set: _set.add(value) self._list.add(value) _add = add def clear(self): """Remove all values from sorted set. Runtime complexity: `O(n)` """ self._set.clear() self._list.clear() def copy(self): """Return a shallow copy of the sorted set. Runtime complexity: `O(n)` :return: new sorted set """ return self._fromset(set(self._set), key=self._key) __copy__ = copy def count(self, value): """Return number of occurrences of `value` in the sorted set. Runtime complexity: `O(1)` >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.count(3) 1 :param value: value to count in sorted set :return: count """ return 1 if value in self._set else 0 def discard(self, value): """Remove `value` from sorted set if it is a member. If `value` is not a member, do nothing. Runtime complexity: `O(log(n))` -- approximate. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.discard(5) >>> ss.discard(0) >>> ss == set([1, 2, 3, 4]) True :param value: `value` to discard from sorted set """ _set = self._set if value in _set: _set.remove(value) self._list.remove(value) _discard = discard def pop(self, index=-1): """Remove and return value at `index` in sorted set. Raise :exc:`IndexError` if the sorted set is empty or index is out of range. Negative indices are supported. Runtime complexity: `O(log(n))` -- approximate. >>> ss = SortedSet('abcde') >>> ss.pop() 'e' >>> ss.pop(2) 'c' >>> ss SortedSet(['a', 'b', 'd']) :param int index: index of value (default -1) :return: value :raises IndexError: if index is out of range """ # pylint: disable=arguments-differ value = self._list.pop(index) self._set.remove(value) return value def remove(self, value): """Remove `value` from sorted set; `value` must be a member. If `value` is not a member, raise :exc:`KeyError`. Runtime complexity: `O(log(n))` -- approximate. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.remove(5) >>> ss == set([1, 2, 3, 4]) True >>> ss.remove(0) Traceback (most recent call last): ... KeyError: 0 :param value: `value` to remove from sorted set :raises KeyError: if `value` is not in sorted set """ self._set.remove(value) self._list.remove(value) def difference(self, *iterables): """Return the difference of two or more sets as a new sorted set. The `difference` method also corresponds to operator ``-``. ``ss.__sub__(iterable)`` <==> ``ss - iterable`` The difference is all values that are in this sorted set but not the other `iterables`. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.difference([4, 5, 6, 7]) SortedSet([1, 2, 3]) :param iterables: iterable arguments :return: new sorted set """ diff = self._set.difference(*iterables) return self._fromset(diff, key=self._key) __sub__ = difference def difference_update(self, *iterables): """Remove all values of `iterables` from this sorted set. The `difference_update` method also corresponds to operator ``-=``. ``ss.__isub__(iterable)`` <==> ``ss -= iterable`` >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> _ = ss.difference_update([4, 5, 6, 7]) >>> ss SortedSet([1, 2, 3]) :param iterables: iterable arguments :return: itself """ _set = self._set _list = self._list values = set(chain(*iterables)) if (4 * len(values)) > len(_set): _set.difference_update(values) _list.clear() _list.update(_set) else: _discard = self._discard for value in values: _discard(value) return self __isub__ = difference_update def intersection(self, *iterables): """Return the intersection of two or more sets as a new sorted set. The `intersection` method also corresponds to operator ``&``. ``ss.__and__(iterable)`` <==> ``ss & iterable`` The intersection is all values that are in this sorted set and each of the other `iterables`. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.intersection([4, 5, 6, 7]) SortedSet([4, 5]) :param iterables: iterable arguments :return: new sorted set """ intersect = self._set.intersection(*iterables) return self._fromset(intersect, key=self._key) __and__ = intersection __rand__ = __and__ def intersection_update(self, *iterables): """Update the sorted set with the intersection of `iterables`. The `intersection_update` method also corresponds to operator ``&=``. ``ss.__iand__(iterable)`` <==> ``ss &= iterable`` Keep only values found in itself and all `iterables`. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> _ = ss.intersection_update([4, 5, 6, 7]) >>> ss SortedSet([4, 5]) :param iterables: iterable arguments :return: itself """ _set = self._set _list = self._list _set.intersection_update(*iterables) _list.clear() _list.update(_set) return self __iand__ = intersection_update def symmetric_difference(self, other): """Return the symmetric difference with `other` as a new sorted set. The `symmetric_difference` method also corresponds to operator ``^``. ``ss.__xor__(other)`` <==> ``ss ^ other`` The symmetric difference is all values tha are in exactly one of the sets. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.symmetric_difference([4, 5, 6, 7]) SortedSet([1, 2, 3, 6, 7]) :param other: `other` iterable :return: new sorted set """ diff = self._set.symmetric_difference(other) return self._fromset(diff, key=self._key) __xor__ = symmetric_difference __rxor__ = __xor__ def symmetric_difference_update(self, other): """Update the sorted set with the symmetric difference with `other`. The `symmetric_difference_update` method also corresponds to operator ``^=``. ``ss.__ixor__(other)`` <==> ``ss ^= other`` Keep only values found in exactly one of itself and `other`. >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> _ = ss.symmetric_difference_update([4, 5, 6, 7]) >>> ss SortedSet([1, 2, 3, 6, 7]) :param other: `other` iterable :return: itself """ _set = self._set _list = self._list _set.symmetric_difference_update(other) _list.clear() _list.update(_set) return self __ixor__ = symmetric_difference_update def union(self, *iterables): """Return new sorted set with values from itself and all `iterables`. The `union` method also corresponds to operator ``|``. ``ss.__or__(iterable)`` <==> ``ss | iterable`` >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> ss.union([4, 5, 6, 7]) SortedSet([1, 2, 3, 4, 5, 6, 7]) :param iterables: iterable arguments :return: new sorted set """ return self.__class__(chain(iter(self), *iterables), key=self._key) __or__ = union __ror__ = __or__ def update(self, *iterables): """Update the sorted set adding values from all `iterables`. The `update` method also corresponds to operator ``|=``. ``ss.__ior__(iterable)`` <==> ``ss |= iterable`` >>> ss = SortedSet([1, 2, 3, 4, 5]) >>> _ = ss.update([4, 5, 6, 7]) >>> ss SortedSet([1, 2, 3, 4, 5, 6, 7]) :param iterables: iterable arguments :return: itself """ _set = self._set _list = self._list values = set(chain(*iterables)) if (4 * len(values)) > len(_set): _list = self._list _set.update(values) _list.clear() _list.update(_set) else: _add = self._add for value in values: _add(value) return self __ior__ = update _update = update def __reduce__(self): """Support for pickle. The tricks played with exposing methods in :func:`SortedSet.__init__` confuse pickle so customize the reducer. """ return (type(self), (self._set, self._key)) @recursive_repr() def __repr__(self): """Return string representation of sorted set. ``ss.__repr__()`` <==> ``repr(ss)`` :return: string representation """ _key = self._key key = '' if _key is None else ', key={0!r}'.format(_key) type_name = type(self).__name__ return '{0}({1!r}{2})'.format(type_name, list(self), key) def _check(self): """Check invariants of sorted set. Runtime complexity: `O(n)` """ _set = self._set _list = self._list _list._check() assert len(_set) == len(_list) assert all(value in _set for value in _list) python-sortedcontainers-2.1.0/tests/000077500000000000000000000000001337542712000175655ustar00rootroot00000000000000python-sortedcontainers-2.1.0/tests/__init__.py000066400000000000000000000000001337542712000216640ustar00rootroot00000000000000python-sortedcontainers-2.1.0/tests/benchmark.py000066400000000000000000000077731337542712000221070ustar00rootroot00000000000000from __future__ import print_function from sys import hexversion import logging import time, random, argparse from functools import partial try: from collections import OrderedDict except: from ordereddict import OrderedDict if hexversion < 0x03000000: range = xrange name_attr = 'func_name' else: name_attr = '__name__' def detail(*values, **kwargs): if not args.bare: print(*values, **kwargs) def measure(test, func, size): start = time.clock() test(func, size) end = time.clock() return (end - start) def benchmark(test, name, ctor, setup, func_name, limit): if args.load > 0: load = args.load ctor_original = ctor def ctor_load(): obj = ctor_original() obj._reset(load) return obj ctor = ctor_load for size in sizes: if not args.no_limit and size > limit: continue # warmup obj = ctor() setup(obj, size) func = getattr(obj, func_name) measure(test, func, size) # record times = [] for rpt in range(5): obj = ctor() setup(obj, size) func = getattr(obj, func_name) times.append(measure(test, func, size)) times.sort() print(getattr(test, name_attr), name + args.suffix, size, times[0], times[-1], times[2], sum(times) / len(times)) def register_test(func): tests[getattr(func, name_attr)] = func return func def limit(test, kind, value): if kind in impls[test]: impls[test][kind]['limit'] = value def remove(test, kind): if kind in impls[test]: del impls[test][kind] tests = OrderedDict() kinds = OrderedDict() impls = OrderedDict() sizes = [] lists = {} parser = argparse.ArgumentParser(description='Benchmarking') parser.add_argument('--seed', type=int, default=0, help='seed value for random') parser.add_argument('--no-limit', default=False, action='store_true', help='no limit on size') parser.add_argument('--test', action='append', help='filter tests by name') parser.add_argument('--kind', action='append', help='filter types by name') parser.add_argument('--size', type=int, action='append', help='specify sizes to test') parser.add_argument('--suffix', default='', help='suffix for kind name') parser.add_argument('--bare', action='store_true', default=False, help='hide header and footer info') parser.add_argument('--load', type=int, default=0, help='load value for sorted container types') args = parser.parse_args() def main(name): global sizes, lists detail('Benchmarking:', name) detail('Seed:', args.seed) random.seed(args.seed) sizes.extend(args.size or [100, 1000, 10000, 100000, 1000000, 10000000]) detail('Sizes:', sizes) lists.update((key, list(range(key))) for key in sizes) for key in sizes: random.shuffle(lists[key]) test_names = args.test or tests.keys() kind_names = args.kind or kinds.keys() detail('Tests:', list(test_names)) detail('Kinds:', list(kind_names)) detail('test_name', 'data_type', 'size', 'min', 'max', 'median', 'mean') for test in impls: if test not in test_names: continue for name in impls[test]: if name not in kind_names: continue details = impls[test][name] try: benchmark( tests[test], name, details['ctor'], details['setup'], details['func'], details['limit'], ) except Exception: logging.exception('Benchmark Error') logging.error('Test: %s', test) logging.error('Name: %s', name) for key in sorted(details): logging.error('Details[%r]: %s', key, details[key]) detail('Benchmark Stop') python-sortedcontainers-2.1.0/tests/benchmark.sh000077500000000000000000000105361337542712000220630ustar00rootroot00000000000000#!/bin/bash set -x # Compare Implementations echo ". env37/bin/activate && python -m tests.benchmark_sortedlist --bare > tests/results_sortedlist.txt" | bash python -m tests.benchmark_plot tests/results_sortedlist.txt SortedList --save echo ". env37/bin/activate && python -m tests.benchmark_sorteddict --bare > tests/results_sorteddict.txt" | bash python -m tests.benchmark_plot tests/results_sorteddict.txt SortedDict --save echo ". env37/bin/activate && python -m tests.benchmark_sortedset --bare > tests/results_sortedset.txt" | bash python -m tests.benchmark_plot tests/results_sortedset.txt SortedSet --save # Compare Python Versions rm tests/results_runtime_sortedlist.txt echo ". env37/bin/activate && python -m tests.benchmark_sortedlist --bare --kind SortedList --suffix _Py37 >> tests/results_runtime_sortedlist.txt" | bash echo ". env27/bin/activate && python -m tests.benchmark_sortedlist --bare --kind SortedList --suffix _Py27 >> tests/results_runtime_sortedlist.txt" | bash echo ". env27/bin/activate && pypy -m tests.benchmark_sortedlist --bare --kind SortedList --suffix _PyPy >> tests/results_runtime_sortedlist.txt" | bash python -m tests.benchmark_plot tests/results_runtime_sortedlist.txt SortedList --suffix _runtime --save rm tests/results_runtime_sorteddict.txt echo ". env37/bin/activate && python -m tests.benchmark_sorteddict --bare --kind SortedDict --suffix _Py37 >> tests/results_runtime_sorteddict.txt" | bash echo ". env27/bin/activate && python -m tests.benchmark_sorteddict --bare --kind SortedDict --suffix _Py27 >> tests/results_runtime_sorteddict.txt" | bash echo ". env27/bin/activate && pypy -m tests.benchmark_sorteddict --bare --kind SortedDict --suffix _PyPy >> tests/results_runtime_sorteddict.txt" | bash python -m tests.benchmark_plot tests/results_runtime_sorteddict.txt SortedDict --suffix _runtime --save rm tests/results_runtime_sortedset.txt echo ". env37/bin/activate && python -m tests.benchmark_sortedset --bare --kind SortedSet --suffix _Py37 >> tests/results_runtime_sortedset.txt" | bash echo ". env27/bin/activate && python -m tests.benchmark_sortedset --bare --kind SortedSet --suffix _Py27 >> tests/results_runtime_sortedset.txt" | bash echo ". env27/bin/activate && pypy -m tests.benchmark_sortedset --bare --kind SortedSet --suffix _PyPy >> tests/results_runtime_sortedset.txt" | bash python -m tests.benchmark_plot tests/results_runtime_sortedset.txt SortedSet --suffix _runtime --save # Compare Loads rm tests/results_load_sortedlist.txt echo ". env37/bin/activate && python -m tests.benchmark_sortedlist --bare --kind SortedList --suffix _100 --load 100 --no-limit >> tests/results_load_sortedlist.txt" | bash echo ". env37/bin/activate && python -m tests.benchmark_sortedlist --bare --kind SortedList --suffix _1000 --load 1000 --no-limit >> tests/results_load_sortedlist.txt" | bash echo ". env37/bin/activate && python -m tests.benchmark_sortedlist --bare --kind SortedList --suffix _10000 --load 10000 --no-limit >> tests/results_load_sortedlist.txt" | bash python -m tests.benchmark_plot tests/results_load_sortedlist.txt SortedList --suffix _load --save rm tests/results_load_sorteddict.txt echo ". env37/bin/activate && python -m tests.benchmark_sorteddict --bare --kind SortedDict --suffix _100 --load 100 --no-limit >> tests/results_load_sorteddict.txt" | bash echo ". env37/bin/activate && python -m tests.benchmark_sorteddict --bare --kind SortedDict --suffix _1000 --load 1000 --no-limit >> tests/results_load_sorteddict.txt" | bash echo ". env37/bin/activate && python -m tests.benchmark_sorteddict --bare --kind SortedDict --suffix _10000 --load 10000 --no-limit >> tests/results_load_sorteddict.txt" | bash python -m tests.benchmark_plot tests/results_load_sorteddict.txt SortedDict --suffix _load --save rm tests/results_load_sortedset.txt echo ". env37/bin/activate && python -m tests.benchmark_sortedset --bare --kind SortedSet --suffix _100 --load 100 --no-limit >> tests/results_load_sortedset.txt" | bash echo ". env37/bin/activate && python -m tests.benchmark_sortedset --bare --kind SortedSet --suffix _1000 --load 1000 --no-limit >> tests/results_load_sortedset.txt" | bash echo ". env37/bin/activate && python -m tests.benchmark_sortedset --bare --kind SortedSet --suffix _10000 --load 10000 --no-limit >> tests/results_load_sortedset.txt" | bash python -m tests.benchmark_plot tests/results_load_sortedset.txt SortedSet --suffix _load --save python-sortedcontainers-2.1.0/tests/benchmark_plot.py000066400000000000000000000055521337542712000231360ustar00rootroot00000000000000""" # Plotting Benchmark Results ## Usage usage: benchmark_plot.py [-h] [--test TEST] [--kind KIND] [--show] [--save] filename name Plotting positional arguments: filename path to file with benchmark data name type name optional arguments: -h, --help show this help message and exit --test TEST --kind KIND --show --save """ from __future__ import print_function import argparse import matplotlib import matplotlib.pyplot as plt from collections import OrderedDict class TreeDict(OrderedDict): def __missing__(self, key): self[key] = value = TreeDict() return value def order_kinds(kinds): for idx, kind in enumerate(kinds): if kind.startswith('Sorted'): del kinds[idx] kinds.insert(0, kind) break return kinds def test_plot(test): ax = plt.gca() ax.grid(linestyle='dashed', linewidth=0.5) cmap = matplotlib.cm.get_cmap('Set1') colors = list(cmap.colors) colors[0], colors[1] = colors[1], colors[0] del colors[5] ax.set_prop_cycle('color', colors) kinds = args.kind or list(data[test]) for order, kind in enumerate(kinds): kind_plot(test, kind, len(kinds) - order) plt.ylim(ymin=9e-7) plt.loglog() plt.title(args.name + ' Performance: ' + test) plt.ylabel('Seconds') plt.xlabel('List Size') plt.legend(kinds, loc=2) def kind_plot(test, kind, zorder): sizes = sorted(data[test][kind].keys()) # Timer isn't any better than micro-second resolution. yvalues = [max(1e-6, data[test][kind][size][5]) for size in sizes] plt.plot(sizes, yvalues, marker='s', zorder=zorder) if __name__ == '__main__': parser = argparse.ArgumentParser(description='Plotting') parser.add_argument('filename', help='path to file with benchmark data') parser.add_argument('name', help='type name') parser.add_argument('--test', action='append', help='filter tests by name') parser.add_argument('--kind', action='append', help='filter types by name') parser.add_argument('--suffix', default='', help='suffix for output') parser.add_argument('--show', action='store_true', help='show results') parser.add_argument('--save', action='store_true', help='save results') args = parser.parse_args() text = open(args.filename).read() lines = text.splitlines() lines = [line.split() for line in lines] for line in lines: line[2] = int(line[2]) line[3:] = map(float, line[3:]) data = TreeDict() for line in lines: data[line[0]][line[1]][line[2]] = line tests = args.test or list(data) for test in tests: test_plot(test) if args.show: plt.show() if args.save: plt.savefig('{0}{1}-{2}.png'.format(args.name, args.suffix, test)) plt.close() python-sortedcontainers-2.1.0/tests/benchmark_scale.py000066400000000000000000000233061337542712000232440ustar00rootroot00000000000000"""Benchmark SortedContainers at scale. ## Local Results $ pypy benchmark_scale.py --limit 1e9 @ Method Size Operations Time Ops/Sec Ratio @ add 1e+06 1e+04 0.01501 666045.025 nan @ add 1e+07 1e+05 0.26612 375764.681 1.773 @ add 1e+08 1e+06 4.69080 213183.298 1.763 @ add 1e+09 1e+07 83.01831 120455.358 1.770 @ del 1e+06 1e+04 0.00827 1208897.485 nan @ del 1e+07 1e+05 0.13309 751393.836 1.609 @ del 1e+08 1e+06 3.79143 263752.866 2.849 @ del 1e+09 1e+07 124.59184 80262.081 3.286 ## High Memory Instance Results Note: Requires ~128 GB of memory. Note: Requires ~11 hrs to run. $ nohup /home/grantj/PyPy27/bin/pypy benchmark_scale.py & $ cat nohup.out @ Method Size Ops Time Ops/Sec Ratio @ add 1e+06 1e+04 0.02133 468884.826 nan @ add 1e+07 1e+05 0.38629 258872.924 1.811 @ add 1e+08 1e+06 6.20695 161109.825 1.607 @ add 1e+09 1e+07 120.24735 83161.919 1.937 @ add 1e+10 1e+08 2416.60713 41380.330 2.010 @ del 1e+06 1e+04 0.01791 558289.343 nan @ del 1e+07 1e+05 0.26171 382097.449 1.461 @ del 1e+08 1e+06 6.11150 163626.036 2.335 @ del 1e+09 1e+07 171.58899 58278.798 2.808 @ del 1e+10 1e+08 5493.95076 18201.838 3.202 ### CPU Info Architecture: x86_64 CPU op-mode(s): 32-bit, 64-bit Byte Order: Little Endian CPU(s): 32 On-line CPU(s) list: 0-31 Thread(s) per core: 2 Core(s) per socket: 16 Socket(s): 1 NUMA node(s): 1 Vendor ID: GenuineIntel CPU family: 6 Model: 63 Model name: Intel(R) Xeon(R) CPU @ 2.30GHz Stepping: 0 CPU MHz: 2299.998 BogoMIPS: 4599.99 Hypervisor vendor: KVM Virtualization type: full L1d cache: 32K L1i cache: 32K L2 cache: 256K L3 cache: 46080K NUMA node0 CPU(s): 0-31 """ from __future__ import print_function import argparse import collections as co import functools as ft import gc import itertools as it import math import random import sortedcontainers as sc import sys import time CHECK = False def iter_with_description(iterable, description=''): "Placeholder iterator function with ignored description parameter." return iter(iterable) PROGRESS = iter_with_description def init_sorted_list(sl, size, moment=5, fraction=0.1): """Initialize SortedList with normally distributed sublist lengths. The mean of the normal distribution is given by: mu = load * (1.0 + moment / 10.0) And the standard deviation of the normal distribution is given by: sigma = load * fraction For a visualization of positive and negative moments see: * plot_lengths_histogram.py * plot_lengths_histogram_delitem.py :param SortedList sl: SortedList to initialize :param int size: size of the resulting SortedList :param int moment: number between -5 and 9 inclusive :param float fraction: fraction of load to be used as standard deviation :return: initialized sorted list """ assert -5 <= moment <= 9 assert 0 < fraction sl.clear() load = sl._load half = sl._load >> 1 twice = sl._load << 1 mu = load * (1.0 + moment / 10.0) sigma = load * fraction total = 0 class WhileIterator(object): "Convert for-loop to while-loop with length estimate." def __iter__(self): while total < size: yield True def __len__(self): if moment < 0: return size / half else: return size / load for each in PROGRESS(WhileIterator(), 'init-sub'): count = int(random.normalvariate(mu, sigma)) if moment >= 0: if count < load: count += load elif count > twice: count -= load count = min(count, twice) count = max(count, load) else: if count < half: count += half elif count > load: count -= half count = min(count, load) count = max(count, half) sl._lists.append(list(xrange(total, total + count))) total += count sl._len = sum(len(sublist) for sublist in sl._lists) sl._maxes[:] = [sublist[-1] for sublist in sl._lists] for each in PROGRESS(xrange(len(sl) - size), 'init-del'): del sl[random.randrange(len(sl))] del sl._index[:] if CHECK: sl._check() assert len(sl) == size return sl def timeit(func): "Decorator to time function calls." @ft.wraps(func) def wrapper(*args, **kwargs): "Return timed duration of function call. Ignores function result." start = time.clock() result = func(*args, **kwargs) end = time.clock() return (end - start) return wrapper @timeit def add(obj, numbers): "Repeatedly add number from numbers to sorted list." for number in PROGRESS(numbers, 'add'): obj.add(number) @timeit def delitem(obj, indices): "Repeatedly delete values from sorted list by index in indices." for index in PROGRESS(indices, 'del'): del obj[index] def randvalues(limit, fraction=0.001): "Return fraction of limit random values between 0 and limit." iterable = PROGRESS(xrange(int(limit * fraction)), 'randvalues') return [random.randrange(limit) for each in iterable] def randindices(limit, fraction=0.002): "Return fraction of limit random indices counting down from limit." stop = limit - int(limit * fraction) iterable = PROGRESS(xrange(limit, stop, -1), 'randindices') return [random.randrange(length) for length in iterable] def benchmark_add(start, limit, times): """Benchmark sorted list add method. Start and limit are an inclusive range of magnitudes. The load of the sorted list is the cube root of the size. Measurements are made by sampling performance at each "moment" of a sorted list while items are added to it. See `init_sorted_list` for how "moment" is used. """ for exponent in xrange(start, limit + 1): timings = [] count = 10 ** exponent sl = sc.SortedList(load=int(count ** (1.0 / 3))) for attempt in xrange(times): subtimings = [] for moment in xrange(10): values = randvalues(count) init_sorted_list(sl, count, moment) gc.collect() subtiming = add(sl, values) subtimings.append(subtiming) timing = sum(subtimings) timings.append(timing) display('add', timings, count) def benchmark_del(start, limit, times): """Benchmark sorted list delitem method. Start and limit are an inclusive range of magnitudes. The load of the sorted list is the square root of the size. Measurements are made by sampling performance at each "moment" of a sorted list while items are deleted from it. See `init_sorted_list` for how "moment" is used. """ for exponent in xrange(start, limit + 1): timings = [] count = 10 ** exponent sl = sc.SortedList(load=int(count ** (1.0 / 3))) # 2))) for attempt in xrange(times): subtimings = [] for moment in xrange(-5, 0): indices = randindices(count) init_sorted_list(sl, count, moment) gc.collect() subtiming = delitem(sl, indices) subtimings.append(subtiming) timing = sum(subtimings) timings.append(timing) display('del', timings, count) def display(name, times, size, last=['', 0]): "Display performance summary with ratio of ops/sec." times.sort() median_time = times[len(times) / 2] operations = size / 100 ops_sec = operations / median_time last_name, last_ops_sec = last ratio = last_ops_sec / ops_sec if name == last_name else float('nan') last[0], last[1] = name, ops_sec template = '@%9s %.0e %.0e %14.5f %12.3f %6.3f' print(template % (name, size, operations, median_time, ops_sec, ratio)) sys.stdout.flush() if __name__ == '__main__': parser = argparse.ArgumentParser() parser.add_argument('--start', default=1e6, type=float) parser.add_argument('--limit', default=1e10, type=float) parser.add_argument('--seed', default=0, type=int) parser.add_argument('--times', default=5, type=int) parser.add_argument('--funcs', default='all', choices=['all', 'add', 'del']) parser.add_argument('--progress', action='store_true') parser.add_argument('--check', action='store_true') args = parser.parse_args() random.seed(args.seed) if args.progress: import tqdm PROGRESS = tqdm.tqdm CHECK = args.check start = int(math.log10(args.start)) limit = int(math.log10(args.limit)) template = '@%9s %7s %7s %14s %12s %9s' header = 'Method', 'Size', 'Ops', 'Time', 'Ops/Sec', 'Ratio' print(template % header) sys.stdout.flush() if args.funcs == 'all': benchmarks = [benchmark_add, benchmark_del] elif args.funcs == 'add': benchmarks = [benchmark_add] elif args.funcs == 'del': benchmarks = [benchmark_del] else: raise ValueError(args.funcs) for benchmark in benchmarks: benchmark(start, limit, args.times) python-sortedcontainers-2.1.0/tests/benchmark_sorteddict.py000066400000000000000000000071151337542712000243210ustar00rootroot00000000000000""" Benchmark Sorted Dictionary Datatypes """ import warnings from .benchmark import * # Tests. @register_test def contains(func, size): for val in lists[size][::100]: assert func(val) @register_test def getitem(func, size): for val in lists[size][::100]: assert func(val) == -val @register_test def setitem(func, size): for val in lists[size][::100]: func(val, -val) @register_test def setitem_existing(func, size): for val in lists[size][::100]: func(val, -val) @register_test def delitem(func, size): for val in lists[size][::100]: func(val) @register_test def iter(func, size): assert all(idx == val for idx, val in enumerate(func())) @register_test def init(func, size): func((val, -val) for val in lists[size]) # Setups. def do_nothing(obj, size): pass def fill_values(obj, size): if hasattr(obj, 'update'): obj.update({val: -val for val in range(size)}) else: for val in range(size): obj[val] = -val # Implementation imports. from .context import sortedcontainers from sortedcontainers import SortedDict kinds['SortedDict'] = SortedDict try: from blist import sorteddict kinds['B-Tree'] = sorteddict except ImportError: warnings.warn('No module named blist', ImportWarning) try: from bintrees import FastAVLTree kinds['AVL-Tree'] = FastAVLTree except ImportError: warnings.warn('No module named bintrees', ImportWarning) try: from banyan import SortedDict as BanyanSortedDict kinds['RB-Tree'] = BanyanSortedDict except ImportError: warnings.warn('No module named banyan', ImportWarning) try: from skiplistcollections import SkipListDict kinds['Skip-List'] = SkipListDict except ImportError: warnings.warn('No module named skiplistcollections', ImportWarning) try: from sortedmap import sortedmap as CppSortedMap kinds['std::map'] = CppSortedMap except ImportError: warnings.warn('No module named sortedmap', ImportWarning) try: from treap import treap kinds['Treap'] = treap except ImportError: warnings.warn('No module named treap', ImportWarning) # Implementation configuration. for name in tests: impls[name] = OrderedDict() for name, kind in kinds.items(): impls['contains'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__contains__', 'limit': 1000000 } remove('contains', 'Treap') for name, kind in kinds.items(): impls['getitem'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__getitem__', 'limit': 1000000 } for name, kind in kinds.items(): impls['setitem'][name] = { 'setup': do_nothing, 'ctor': kind, 'func': '__setitem__', 'limit': 1000000 } for name, kind in kinds.items(): impls['setitem_existing'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__setitem__', 'limit': 1000000 } for name, kind in kinds.items(): impls['delitem'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__delitem__', 'limit': 1000000 } for name, kind in kinds.items(): impls['iter'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__iter__', 'limit': 1000000 } for name, kind in kinds.items(): impls['init'][name] = { 'setup': do_nothing, 'ctor': kind, 'func': 'update', 'limit': 1000000 } remove('init', 'Treap') limit('init', 'B-Tree', 100000) limit('init', 'Skip-List', 100000) if __name__ == '__main__': main('SortedDict') python-sortedcontainers-2.1.0/tests/benchmark_sortedlist.py000066400000000000000000000220431337542712000243460ustar00rootroot00000000000000""" Benchmark Sorted List Datatypes """ import warnings from .benchmark import * # Tests. @register_test def add(func, size): for val in lists[size][::100]: func(val) @register_test def update_small(func, size): func(lists[size][::10]) @register_test def update_large(func, size): func(lists[size]) @register_test def contains(func, size): for val in lists[size][::100]: assert func(val) @register_test def remove(func, size): for val in lists[size][::100]: func(val) @register_test def delitem(func, size): for val in range(int(size / 100)): pos = random.randrange(size - val) func(pos) @register_test def bisect(func, size): for val in lists[size][::100]: func(val) @register_test def getitem(func, size): for val in lists[size][::100]: assert func(val) == val @register_test def pop(func, size): for val in range(int(size / 100)): assert func() == (size - val - 1) @register_test def index(func, size): for val in lists[size][::100]: assert func(val) == val @register_test def iter(func, size): assert all(idx == val for idx, val in enumerate(func())) @register_test def count(func, size): for val in lists[size][::100]: assert func(val) == 1 @register_test def priorityqueue(func, size): for val in lists[size][::10]: func(val) @register_test def multiset(func, size): for val in lists[size][::10]: func(val) @register_test def ranking(func, size): for val in lists[size][::10]: func(val) @register_test def neighbor(func, size): for val in lists[size][::10]: func(val) @register_test def intervals(func, size): for val in lists[size][::10]: func(val) @register_test def init(func, size): func(lists[size]) # Setups. def do_nothing(obj, size): pass def fill_values(obj, size): obj.update(sorted(lists[size])) # Implementation imports. from .context import sortedcontainers from sortedcontainers import SortedList kinds['SortedList'] = SortedList from sortedcontainers import SortedKeyList kinds['SortedKeyList'] = SortedKeyList try: from blist import sortedlist kinds['B-Tree'] = sortedlist except ImportError: warnings.warn('No module named blist', ImportWarning) try: from .sortedcollection import SortedCollection kinds['List'] = SortedCollection except ImportError: warnings.warn('No module named sortedcollection', ImportWarning) # Implementation configuration. for name in tests: impls[name] = OrderedDict() for name, kind in kinds.items(): impls['add'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'add', 'limit': 1000000 } for name, kind in kinds.items(): impls['update_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'update', 'limit': 1000000 } limit('update_small', 'List', 100000) for name, kind in kinds.items(): impls['update_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'update', 'limit': 1000000 } limit('update_large', 'List', 100000) for name, kind in kinds.items(): impls['contains'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__contains__', 'limit': 1000000 } for name, kind in kinds.items(): impls['remove'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'remove', 'limit': 1000000 } for name, kind in kinds.items(): impls['delitem'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__delitem__', 'limit': 1000000 } limit('delitem', 'List', 100000) for name, kind in kinds.items(): impls['bisect'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'bisect', 'limit': 1000000 } for name, kind in kinds.items(): impls['getitem'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__getitem__', 'limit': 1000000 } for name, kind in kinds.items(): impls['pop'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'pop', 'limit': 1000000 } for name, kind in kinds.items(): impls['index'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'index', 'limit': 1000000 } for name, kind in kinds.items(): impls['iter'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__iter__', 'limit': 1000000 } for name, kind in kinds.items(): impls['count'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'count', 'limit': 1000000 } class Mixed: def __init__(self, kind): self.rand = random.Random(0) self.kind = kind def __call__(self, *args, **kwargs): self.obj = self.kind(*args, **kwargs) return self def _reset(self, load): self.obj._reset(load) def update(self, values): self.obj.update(values) def run(self, value): raise NotImplementedError class PriorityQueue(Mixed): def run(self, value): """ 40% add 40% pop 10% discard 9% contains 1% iter (first 100 elements) """ obj = self.obj pos = self.rand.randrange(100) if pos < 40: obj.add(value) elif pos < 80: obj.pop() elif pos < 90: obj.discard(value) elif pos < 99: value in obj else: for idx, temp in enumerate(obj): if idx > 100: break for name, kind in kinds.items(): impls['priorityqueue'][name] = { 'setup': fill_values, 'ctor': PriorityQueue(kind), 'func': 'run', 'limit': 1000000 } limit('priorityqueue', 'List', 100000) class Multiset(Mixed): def run(self, value): """ 75% contains 10% add 10% remove 5% getitem """ obj = self.obj pos = self.rand.randrange(100) if pos < 75: assert value in obj elif pos < 85: obj.add(value) elif pos < 95: obj.remove(value) else: if value < len(obj): obj[value] for name, kind in kinds.items(): impls['multiset'][name] = { 'setup': fill_values, 'ctor': Multiset(kind), 'func': 'run', 'limit': 1000000 } limit('multiset', 'List', 100000) class Ranking(Mixed): def run(self, value): """ 40% getitem 40% index 10% add 10% remove """ obj = self.obj pos = self.rand.randrange(100) if pos < 40: if value < len(obj): obj[value] elif pos < 80: assert obj.index(value) >= 0 elif pos < 90: obj.add(value) else: obj.remove(value) for name, kind in kinds.items(): impls['ranking'][name] = { 'setup': fill_values, 'ctor': Ranking(kind), 'func': 'run', 'limit': 1000000 } limit('ranking', 'List', 100000) class Neighbor(Mixed): def run(self, value): """ 75% bisect 10% add 10% remove 5% iter (first 100 elements) """ obj = self.obj pos = self.rand.randrange(100) if pos < 75: obj.bisect(value) elif pos < 85: obj.add(value) elif pos < 95: obj.remove(value) else: for idx, temp in enumerate(obj): if idx > 100: break for name, kind in kinds.items(): impls['neighbor'][name] = { 'setup': fill_values, 'ctor': Neighbor(kind), 'func': 'run', 'limit': 1000000 } limit('neighbor', 'List', 100000) class Intervals(Mixed): def run(self, value): """ 30% bisect 20% getitem 20% delitem 10% get-slice (range query) 10% add 10% discard """ obj = self.obj pos = self.rand.randrange(100) if pos < 30: obj.bisect(value) elif pos < 50: if value < len(obj): obj[value] elif pos < 70: if value < len(obj): del obj[value] elif pos < 80: if value < len(obj): limit = min(value + 100, len(obj)) other = self.rand.randrange(value, limit) obj[value:other] elif pos < 90: obj.add(value) else: obj.discard(value) for name, kind in kinds.items(): impls['intervals'][name] = { 'setup': fill_values, 'ctor': Intervals(kind), 'func': 'run', 'limit': 1000000 } limit('intervals', 'List', 100000) for name, kind in kinds.items(): impls['init'][name] = { 'setup': do_nothing, 'ctor': kind, 'func': '__init__', 'limit': 1000000 } limit('init', 'B-Tree', 100000) if __name__ == '__main__': main('SortedList') python-sortedcontainers-2.1.0/tests/benchmark_sortedset.py000066400000000000000000000360241337542712000241720ustar00rootroot00000000000000""" Benchmark Sorted Set Datatypes """ import warnings from sys import hexversion from .benchmark import * if hexversion < 0x03000000: range = xrange # Tests. @register_test def contains(func, size): for val in lists[size][::100]: assert func(val) @register_test def iter(func, size): assert all(idx == val for idx, val in enumerate(func())) @register_test def add(func, size): for val in lists[size][::100]: func(-val) @register_test def update_tiny(func, size): func(range(size, size + 10)) @register_test def update_small(func, size): func(range(size, size + int(size / 10))) @register_test def update_medium(func, size): func(range(size, size + int(size * 5 / 10))) @register_test def update_large(func, size): func(range(size, size + int(size * 9 / 10))) @register_test def union_tiny(func, size): func(range(size, size + 10)) @register_test def union_small(func, size): func(range(size, size + int(size / 10))) @register_test def union_medium(func, size): func(range(size, size + int(size * 5 / 10))) @register_test def union_large(func, size): func(range(size, size + int(size * 9 / 10))) @register_test def remove(func, size): for val in lists[size][::100]: func(val) @register_test def difference_tiny(func, size): func(range(int(size / 2), int(size / 2) + 10)) @register_test def difference_small(func, size): func(range(int(size / 2), int(size / 2) + int(size / 10))) @register_test def difference_medium(func, size): func(range(int(size / 2), int(size / 2) + int(size * 5 / 10))) @register_test def difference_large(func, size): func(range(int(size / 2), int(size / 2) + int(size * 9 / 10))) @register_test def difference_update_tiny(func, size): func(range(int(size / 2), int(size / 2) + 10)) @register_test def difference_update_small(func, size): func(range(int(size / 2), int(size / 2) + int(size / 10))) @register_test def difference_update_medium(func, size): func(range(int(size / 2), int(size / 2) + int(size * 5 / 10))) @register_test def difference_update_large(func, size): func(range(int(size / 2), int(size / 2) + int(size * 9 / 10))) @register_test def intersection_tiny(func, size): func(range(int(size / 2), int(size / 2) + 10)) @register_test def intersection_small(func, size): func(range(int(size / 2), int(size / 2) + int(size / 10))) @register_test def intersection_medium(func, size): func(range(int(size / 2), int(size / 2) + int(size * 5 / 10))) @register_test def intersection_large(func, size): func(range(int(size / 2), int(size / 2) + int(size * 9 / 10))) @register_test def intersection_update_tiny(func, size): func(range(int(size / 2), int(size / 2) + 10)) @register_test def intersection_update_small(func, size): func(range(int(size / 2), int(size / 2) + int(size / 10))) @register_test def intersection_update_medium(func, size): func(range(int(size / 2), int(size / 2) + int(size * 5 / 10))) @register_test def intersection_update_large(func, size): func(range(int(size / 2), int(size / 2) + int(size * 9 / 10))) @register_test def symmetric_difference_tiny(func, size): func(range(int(size / 2), int(size / 2) + 10)) @register_test def symmetric_difference_small(func, size): func(range(int(size / 2), int(size / 2) + int(size / 10))) @register_test def symmetric_difference_medium(func, size): func(range(int(size / 2), int(size / 2) + int(size * 5 / 10))) @register_test def symmetric_difference_large(func, size): func(range(int(size / 2), int(size / 2) + int(size * 9 / 10))) @register_test def symmetric_difference_update_tiny(func, size): func(range(int(size / 2), int(size / 2) + 10)) @register_test def symmetric_difference_update_small(func, size): func(range(int(size / 2), int(size / 2) + int(size / 10))) @register_test def symmetric_difference_update_medium(func, size): func(range(int(size / 2), int(size / 2) + int(size * 5 / 10))) @register_test def symmetric_difference_update_large(func, size): func(range(int(size / 2), int(size / 2) + int(size * 9 / 10))) @register_test def pop(func, size): for rpt in range(int(size / 100)): func() @register_test def init(func, size): func(lists[size]) # Setups. def do_nothing(obj, size): pass def fill_values(obj, size): if hasattr(obj, 'update'): obj.update(sorted(lists[size])) else: for val in lists[size]: obj.add(val) # Implementation imports. from .context import sortedcontainers from sortedcontainers import SortedSet kinds['SortedSet'] = SortedSet try: from blist import sortedset kinds['B-Tree'] = sortedset except ImportError: warnings.warn('No module named blist', ImportWarning) try: from banyan import SortedSet as BanyanSortedSet kinds['RB-Tree'] = BanyanSortedSet except ImportError: warnings.warn('No module named banyan', ImportWarning) try: from skiplistcollections import SkipListSet kinds['Skip-List'] = SkipListSet except ImportError: warnings.warn('No module named skiplistcollections', ImportWarning) # Implementation configuration. from .benchmark import remove for name in tests: impls[name] = OrderedDict() for name, kind in kinds.items(): impls['contains'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__contains__', 'limit': 1000000 } for name, kind in kinds.items(): impls['iter'][name] = { 'setup': fill_values, 'ctor': kind, 'func': '__iter__', 'limit': 1000000 } for name, kind in kinds.items(): impls['add'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'add', 'limit': 1000000 } limit('add', 'B-Tree', 10000) for name, kind in kinds.items(): impls['update_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'update', 'limit': 1000000 } for name, kind in kinds.items(): impls['update_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'update', 'limit': 1000000 } for name, kind in kinds.items(): impls['update_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'update', 'limit': 1000000 } limit('update_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['update_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'update', 'limit': 1000000 } limit('update_large', 'B-Tree', 10000) remove('update_tiny', 'Skip-List') remove('update_small', 'Skip-List') remove('update_medium', 'Skip-List') remove('update_large', 'Skip-List') for name, kind in kinds.items(): impls['union_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'union', 'limit': 1000000 } for name, kind in kinds.items(): impls['union_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'union', 'limit': 1000000 } for name, kind in kinds.items(): impls['union_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'union', 'limit': 1000000 } limit('union_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['union_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'union', 'limit': 1000000 } limit('union_large', 'B-Tree', 10000) remove('union_tiny', 'Skip-List') remove('union_small', 'Skip-List') remove('union_medium', 'Skip-List') remove('union_large', 'Skip-List') for name, kind in kinds.items(): impls['remove'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'remove', 'limit': 1000000 } limit('remove', 'B-Tree', 10000) for name, kind in kinds.items(): impls['difference_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference', 'limit': 1000000 } for name, kind in kinds.items(): impls['difference_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference', 'limit': 1000000 } for name, kind in kinds.items(): impls['difference_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference', 'limit': 1000000 } limit('difference_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['difference_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference', 'limit': 1000000 } limit('difference_large', 'B-Tree', 10000) remove('difference_tiny', 'Skip-List') remove('difference_small', 'Skip-List') remove('difference_medium', 'Skip-List') remove('difference_large', 'Skip-List') for name, kind in kinds.items(): impls['difference_update_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference_update', 'limit': 1000000 } for name, kind in kinds.items(): impls['difference_update_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference_update', 'limit': 1000000 } for name, kind in kinds.items(): impls['difference_update_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference_update', 'limit': 1000000 } limit('difference_update_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['difference_update_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'difference_update', 'limit': 1000000 } limit('difference_update_large', 'B-Tree', 10000) remove('difference_update_tiny', 'Skip-List') remove('difference_update_small', 'Skip-List') remove('difference_update_medium', 'Skip-List') remove('difference_update_large', 'Skip-List') for name, kind in kinds.items(): impls['intersection_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection', 'limit': 1000000 } limit('intersection_tiny', 'B-Tree', 10000) for name, kind in kinds.items(): impls['intersection_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection', 'limit': 1000000 } limit('intersection_small', 'B-Tree', 10000) for name, kind in kinds.items(): impls['intersection_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection', 'limit': 1000000 } limit('intersection_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['intersection_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection', 'limit': 1000000 } limit('intersection_large', 'B-Tree', 10000) remove('intersection_tiny', 'Skip-List') remove('intersection_small', 'Skip-List') remove('intersection_medium', 'Skip-List') remove('intersection_large', 'Skip-List') for name, kind in kinds.items(): impls['intersection_update_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection_update', 'limit': 1000000 } limit('intersection_update_tiny', 'B-Tree', 10000) for name, kind in kinds.items(): impls['intersection_update_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection_update', 'limit': 1000000 } limit('intersection_update_small', 'B-Tree', 10000) for name, kind in kinds.items(): impls['intersection_update_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection_update', 'limit': 1000000 } limit('intersection_update_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['intersection_update_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'intersection_update', 'limit': 1000000 } limit('intersection_update_large', 'B-Tree', 10000) remove('intersection_update_tiny', 'Skip-List') remove('intersection_update_small', 'Skip-List') remove('intersection_update_medium', 'Skip-List') remove('intersection_update_large', 'Skip-List') for name, kind in kinds.items(): impls['symmetric_difference_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference', 'limit': 1000000 } limit('symmetric_difference_tiny', 'B-Tree', 10000) for name, kind in kinds.items(): impls['symmetric_difference_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference', 'limit': 1000000 } limit('symmetric_difference_small', 'B-Tree', 10000) for name, kind in kinds.items(): impls['symmetric_difference_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference', 'limit': 1000000 } limit('symmetric_difference_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['symmetric_difference_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference', 'limit': 1000000 } limit('symmetric_difference_large', 'B-Tree', 10000) remove('symmetric_difference_tiny', 'Skip-List') remove('symmetric_difference_small', 'Skip-List') remove('symmetric_difference_medium', 'Skip-List') remove('symmetric_difference_large', 'Skip-List') for name, kind in kinds.items(): impls['symmetric_difference_update_tiny'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference_update', 'limit': 1000000 } limit('symmetric_difference_update_tiny', 'B-Tree', 10000) for name, kind in kinds.items(): impls['symmetric_difference_update_small'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference_update', 'limit': 1000000 } limit('symmetric_difference_update_small', 'B-Tree', 10000) for name, kind in kinds.items(): impls['symmetric_difference_update_medium'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference_update', 'limit': 1000000 } limit('symmetric_difference_update_medium', 'B-Tree', 10000) for name, kind in kinds.items(): impls['symmetric_difference_update_large'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'symmetric_difference_update', 'limit': 1000000 } limit('symmetric_difference_update_large', 'B-Tree', 10000) remove('symmetric_difference_update_tiny', 'Skip-List') remove('symmetric_difference_update_small', 'Skip-List') remove('symmetric_difference_update_medium', 'Skip-List') remove('symmetric_difference_update_large', 'Skip-List') for name, kind in kinds.items(): impls['pop'][name] = { 'setup': fill_values, 'ctor': kind, 'func': 'pop', 'limit': 1000000 } for name, kind in kinds.items(): impls['init'][name] = { 'setup': do_nothing, 'ctor': kind, 'func': 'update', 'limit': 1000000 } remove('init', 'Skip-List') limit('init', 'B-Tree', 100000) if __name__ == '__main__': main('SortedSet') python-sortedcontainers-2.1.0/tests/benchmark_splits_fill.py000066400000000000000000000107311337542712000244770ustar00rootroot00000000000000"""Count splits that occur in SortedList._expand with varying loads. NOTE: Benchmarking performance at scale eventually used sampling rather than what is described below. Do not use this method for benchmarking. This file is kept for SortedListWithSplits which presents an example for recording the number of sublist splits that occur. Compare three load styles: 1. Low - Simply initializing a SortedList creates each sublist with length equal to `load`. 2. Normal Random - See `init_sorted_list` below. Each sublist is given a length chosen at random from a normal distribution with mean 1500 and standard deviation 100. See `plot_lengths_histogram.py` for a visualization of the sublist length and motivation for the normal distribution parameters. 3. Added Random - Each sublist is initialized by simply adding random values to the list. This one is the most realistic but expensive to compute. It's also biased by the number of values added. Because SortedList amortizes some costs, this metric is prone to under or over-estimating impact. Sample output: LIMIT = int(1e6), RATIO = 1 Low [504, 490, 487, 503, 488, 494, 496, 502, 493, 486] Normal Random [666, 667, 662, 666, 670, 668, 668, 666, 668, 666] Added Random [685, 675, 689, 687, 699, 706, 691, 679, 672, 702] Conclusion: Normal Random is about 1-2% less than Added Random on average but remains practical for use as an efficient approximation. The above values were calculated with RATIO = 1. Increasing the ratio to 10 creates a significant divergence between Normal Random and Added Random. Sample output with RATIO = 10: Low [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] Normal Random [1, 2, 0, 1, 0, 1, 0, 1, 1, 2] Added Random [307, 286, 290, 253, 279, 319, 283, 264, 278, 280] The difference is due to the load of the sublists. Randomly adding a million values positions the sublist lengths in a bimodal distribution split at 1000 and 2000. This is nearly the worst-case scenario for measurements. After trying a number of settings, RATIO = 3 appears reliable and useful. This approximates the available capacity: >>> random.seed(0) >>> sl = init_sorted_list(sc.SortedList(), int(1e6)) >>> len(sl._lists) * sl._load * 2 - len(sl) 334000 So after constructing a SortedList with sublist length given by a normal distribution with mean 1,500 and standard deviation 100, we fill the remaining empty capacity. """ from __future__ import print_function import sortedcontainers as sc import random REPEAT = 5 LIMIT = int(1e6) RATIO = 3 class SortedListWithSplits(sc.SortedList): "SortedList that counts splits that occur in _expand." def __init__(self, *args, **kwargs): self.splits = 0 super(SortedListWithSplits, self).__init__(*args, **kwargs) def _expand(self, pos): if len(self._lists[pos]) > self._twice: self.splits += 1 super(SortedListWithSplits, self)._expand(pos) def init_sorted_list(sl, size): "Initialize a SortedList with normally distributed sublist lengths." sl.clear() total = 0 while total < size: # count = random.randrange(sl._load, sl._twice) count = int(random.normalvariate(int(sl._load * 1.5), 100)) count = min(count, sl._load * 2) count = max(count, sl._load) sl._lists.append(list(range(total, total + count))) total += count sl._len = sum(len(sublist) for sublist in sl._lists) sl._maxes[:] = [sublist[-1] for sublist in sl._lists] sl._check() while len(sl) > size: del sl[random.randrange(len(sl))] return sl def fill(obj, count, limit): "Repeatedly add random values to the SortedList." for each in range(count): obj.add(random.randrange(limit)) if __name__ == '__main__': low_splits = [] for each in range(REPEAT): sl = SortedListWithSplits(range(LIMIT)) fill(sl, LIMIT / RATIO, LIMIT) low_splits.append(sl.splits) uniform_splits = [] for each in range(REPEAT): sl = init_sorted_list(SortedListWithSplits(), LIMIT) fill(sl, LIMIT / RATIO, LIMIT) uniform_splits.append(sl.splits) rand_splits = [] for each in range(REPEAT): sl = SortedListWithSplits() values = list(range(LIMIT)) random.shuffle(values) for value in values: sl.add(value) sl.splits = 0 fill(sl, LIMIT / RATIO, LIMIT) rand_splits.append(sl.splits) print('Low', low_splits) print('Normal Random', uniform_splits) print('Added Random', rand_splits) python-sortedcontainers-2.1.0/tests/context.py000066400000000000000000000002121337542712000216160ustar00rootroot00000000000000# -*- coding: utf-8 -*- import sys import os sys.path.insert(0, os.path.join(os.path.dirname(__file__), '..')) import sortedcontainers python-sortedcontainers-2.1.0/tests/plot_lengths_histogram_add.py000066400000000000000000000062731337542712000255360ustar00rootroot00000000000000"""Plot histogram of SortedList sublist lengths while items are added. Script output is a video named `sublist-lengths.mp4`. The video displays a line graph where the x-axis is sublist length and the y-axis is the percentage of sublists with that length. Sublist lengths are divided into buckets as with a histogram. A line fitting the histogram as a normal distribution is plotted alongside in green. A line graph was used to represent the histogram because it was easier to animate. Observations: * Average sublist length cycles between `load` and `load * 2` with an exponentially increasing period. * As the number of elements increases, the sublist length distribution can be approximated by a normal distribution. The fit is valid within 30% of the mean. * At the end of the video, the normal distribution fitting the histogram with mean=1500 has standard deviation=102.94. * Observing the mean and standard deviation over time shows that the standard deviation tends to increase at a given mean over time. In this way, the curve flattens as more values are added to it. """ from __future__ import division, print_function import argparse import itertools as it import numpy as np import scipy import scipy.stats import sortedcontainers as sc from matplotlib import pyplot as plt from matplotlib import animation import random DISPLAY_FIT = False def background(): "Plot the background of each animated frame." hist_line.set_data([], []) norm_line.set_data([], []) return hist_line, norm_line def frame(num): "Draw frame." values.update(func() for func in it.repeat(random.random, LOAD)) data = np.array([len(sublist) for sublist in values._lists]) hist, bins = np.histogram(data, bins=BINS, normed=True) hist_line.set_data(bins[:-1], hist) norm = scipy.stats.norm params = norm.fit(data) norm_line.set_data(LENGTHS, norm.pdf(LENGTHS, *params)) if DISPLAY_FIT: print('Normal', '%10.3f %10.3f' % params) return hist_line, norm_line if __name__ == '__main__': parser = argparse.ArgumentParser() parser.add_argument('--seed', type=int, default=0) parser.add_argument('--load', type=float, default=1e3) parser.add_argument('--show', action='store_true') parser.add_argument('--filename', default='sublist-lengths-add.mp4') parser.add_argument('--display-fit', action='store_true') args = parser.parse_args() random.seed(args.seed) LOAD = int(args.load) BINS = np.array(range(LOAD, LOAD * 2 + 1, LOAD // 20)) LENGTHS = np.array(range(LOAD, LOAD * 2)) DISPLAY_FIT = args.display_fit values = sc.SortedList(load=LOAD) # Initialize with random values. for func in it.repeat(random.random, LOAD): values.add(func()) fig = plt.figure() bounds = (LOAD - 5 * LOAD // 100, LOAD * 2 - 5 * LOAD // 100) ax = plt.axes(xlim=bounds, ylim=(0, 0.01)) hist_line, = ax.plot([], []) norm_line, = ax.plot([], []) animator = animation.FuncAnimation( fig, frame, init_func=background, frames=1000, interval=10, blit=True, ) if args.show: plt.show() else: animator.save( args.filename, fps=20, extra_args=['-vcodec', 'libx264'] ) python-sortedcontainers-2.1.0/tests/plot_lengths_histogram_delitem.py000066400000000000000000000034401337542712000264220ustar00rootroot00000000000000"""Plot histogram of SortedList sublist lengths while items are deleted. """ from __future__ import division, print_function import argparse import itertools as it import numpy as np import scipy import scipy.stats import sortedcontainers as sc from matplotlib import pyplot as plt from matplotlib import animation import random def background(): "Plot the background of each animated frame." hist_line.set_data([], []) norm_line.set_data([], []) return hist_line, norm_line def frame(num): "Draw frame." for value in xrange(LOAD): del values[random.randrange(len(values))] data = np.array([len(sublist) for sublist in values._lists]) hist, bins = np.histogram(data, bins=BINS) # , normed=True) hist_line.set_data(bins[:-1], hist) return hist_line, norm_line if __name__ == '__main__': parser = argparse.ArgumentParser() parser.add_argument('--seed', type=int, default=0) parser.add_argument('--load', type=float, default=1e3) parser.add_argument('--show', action='store_true') parser.add_argument('--filename', default='sublist-lengths-delitem.mp4') args = parser.parse_args() random.seed(args.seed) LOAD = int(args.load) BINS = np.array(range(LOAD // 2, LOAD * 2 + 1, LOAD // 20)) values = sc.SortedList(xrange(LOAD * LOAD), load=LOAD) fig = plt.figure() bounds = (LOAD // 2 - 5 * LOAD // 100, LOAD * 2 - 5 * LOAD // 100) ax = plt.axes(xlim=bounds, ylim=(0, 1000)) hist_line, = ax.plot([], []) norm_line, = ax.plot([], []) animator = animation.FuncAnimation( fig, frame, init_func=background, frames=1000, interval=10, blit=True, ) if args.show: plt.show() else: animator.save( args.filename, fps=20, extra_args=['-vcodec', 'libx264'] ) python-sortedcontainers-2.1.0/tests/results_load_sorteddict.txt000066400000000000000000000345061337542712000252620ustar00rootroot00000000000000contains SortedDict_100 100 2.000000000279556e-06 2.9999999995311555e-06 2.9999999995311555e-06 2.5999999998305156e-06 contains SortedDict_100 1000 2.9999999995311555e-06 4.999999999810711e-06 3.999999998782755e-06 3.7999999999982492e-06 contains SortedDict_100 10000 1.3999999998404178e-05 2.800000000036107e-05 2.19999999995224e-05 2.099999999991553e-05 contains SortedDict_100 100000 0.0002739999999992193 0.00029299999999921056 0.00027500000000024727 0.0002783999999994791 contains SortedDict_100 1000000 0.004462000000000188 0.004592999999999847 0.00451800000000091 0.0045236000000002715 contains SortedDict_100 10000000 0.06748600000000238 0.07617499999999922 0.06845799999999969 0.06980160000000027 getitem SortedDict_100 100 1.9999999949504854e-06 3.999999997006398e-06 2.0000000020559128e-06 2.599999999119973e-06 getitem SortedDict_100 1000 2.9999999995311555e-06 4.0000000041118255e-06 2.9999999995311555e-06 3.4000000013634237e-06 getitem SortedDict_100 10000 1.699999999971169e-05 2.200000000129876e-05 1.7999999997186933e-05 1.9199999999841567e-05 getitem SortedDict_100 100000 0.0002980000000007976 0.00037700000000029377 0.0003150000000005093 0.0003216000000008989 getitem SortedDict_100 1000000 0.004998000000000502 0.005631999999998527 0.005093000000002235 0.0052417999999988755 getitem SortedDict_100 10000000 0.07325000000000159 0.07905399999999929 0.07337099999999452 0.07448619999999977 setitem SortedDict_100 100 4.0000000041118255e-06 5.999999999062311e-06 5.000000001587068e-06 5.200000001082117e-06 setitem SortedDict_100 1000 2.2999999998774e-05 2.800000000036107e-05 2.3999999996249244e-05 2.5199999998903878e-05 setitem SortedDict_100 10000 0.00016599999999300508 0.00017499999999870397 0.00016699999999048032 0.00016839999999547218 setitem SortedDict_100 100000 0.0017320000000040636 0.0018249999999966349 0.001774999999994975 0.001776799999998957 setitem SortedDict_100 1000000 0.019542999999998756 0.020169999999993138 0.019812999999999192 0.019892599999997172 setitem SortedDict_100 10000000 0.26478300000000843 0.3218779999999981 0.26619599999999366 0.27810679999999766 setitem_existing SortedDict_100 100 1.9999999949504854e-06 4.0000000041118255e-06 2.00000000916134e-06 2.8000000014571926e-06 setitem_existing SortedDict_100 1000 5.999999999062311e-06 6.999999996537554e-06 5.999999999062311e-06 6.399999998052408e-06 setitem_existing SortedDict_100 10000 4.299999999091142e-05 6.700000000137152e-05 4.400000000259752e-05 4.820000000052005e-05 setitem_existing SortedDict_100 100000 0.000549000000006572 0.0005560000000031096 0.0005540000000081591 0.0005532000000073367 setitem_existing SortedDict_100 1000000 0.00746300000000133 0.007918000000003644 0.007694999999998231 0.007687399999997524 setitem_existing SortedDict_100 10000000 0.10333199999999465 0.10731400000000235 0.10493499999999756 0.10487919999999917 delitem SortedDict_100 100 5.000000001587068e-06 7.999999994012796e-06 5.999999999062311e-06 6.19999999855736e-06 delitem SortedDict_100 1000 2.1000000003823516e-05 2.2999999998774e-05 2.200000000129876e-05 2.1999999998456587e-05 delitem SortedDict_100 10000 0.00019799999999747797 0.00020700000000317686 0.00019899999999495321 0.00020059999999659793 delitem SortedDict_100 100000 0.0024230000000073915 0.002765999999994051 0.002512999999993326 0.00257519999999829 delitem SortedDict_100 1000000 0.03224300000000824 0.03433099999999456 0.0323099999999954 0.03284800000000132 delitem SortedDict_100 10000000 0.44271899999999675 0.4619880000000052 0.45329900000000123 0.45337839999999974 iter SortedDict_100 100 9.999999988963282e-06 2.3999999996249244e-05 1.100000000064938e-05 1.3399999997432132e-05 iter SortedDict_100 1000 9.699999999668307e-05 0.00010600000000238197 9.799999999415832e-05 0.00010079999999561551 iter SortedDict_100 10000 0.0009600000000062892 0.001110999999994533 0.001024000000001024 0.0010359999999991487 iter SortedDict_100 100000 0.009250999999991905 0.009398999999987723 0.009334000000009723 0.009324199999994676 iter SortedDict_100 1000000 0.09199199999999053 0.09215800000001195 0.09206399999999348 0.09207220000000405 iter SortedDict_100 10000000 0.9241499999999974 0.9507650000000183 0.9427799999999991 0.9381306000000051 init SortedDict_100 100 3.100000000699765e-05 3.499999999689862e-05 3.100000000699765e-05 3.2000000004472895e-05 init SortedDict_100 1000 0.0002910000000042601 0.00029299999999921056 0.0002920000000017353 0.0002918000000022403 init SortedDict_100 10000 0.003689000000008491 0.004155000000025666 0.0039759999999944284 0.003961200000009058 init SortedDict_100 100000 0.05624199999999746 0.058991999999989275 0.05842400000000225 0.05805199999999786 init SortedDict_100 1000000 0.9024139999999932 0.9748549999999909 0.9218649999999968 0.9312153999999907 init SortedDict_100 10000000 15.174035000000003 16.60709 15.701736000000011 15.780175800000006 contains SortedDict_1000 100 9.999999992515995e-07 2.9999999995311555e-06 1.0000000010279564e-06 1.5999999998683733e-06 contains SortedDict_1000 1000 2.000000000279556e-06 7.000000000090267e-06 3.999999998782755e-06 4.000000000203841e-06 contains SortedDict_1000 10000 1.3000000000928935e-05 1.5999999998683734e-05 1.4000000000180535e-05 1.4399999999881174e-05 contains SortedDict_1000 100000 0.0002510000000004453 0.00031300000000022976 0.0002569999999995076 0.0002676000000001011 contains SortedDict_1000 1000000 0.004433999999999827 0.005342999999999876 0.004856999999999445 0.0048227999999998165 contains SortedDict_1000 10000000 0.06721699999999942 0.07597099999999912 0.07512399999999886 0.07252419999999944 getitem SortedDict_1000 100 1.999999998503199e-06 2.9999999995311555e-06 2.9999999995311555e-06 2.599999999119973e-06 getitem SortedDict_1000 1000 3.999999997006398e-06 5.000000001587068e-06 4.9999999980343546e-06 4.799999999249849e-06 getitem SortedDict_1000 10000 2.1000000000270802e-05 2.5000000000829914e-05 2.2999999998774e-05 2.3199999999690137e-05 getitem SortedDict_1000 100000 0.00030800000000041905 0.0004249999999998977 0.00031200000000097816 0.0003360000000007801 getitem SortedDict_1000 1000000 0.004761999999999489 0.005274999999997476 0.0049259999999975435 0.005010000000000047 getitem SortedDict_1000 10000000 0.07265000000000299 0.07471299999999559 0.07306400000000224 0.07344239999999899 setitem SortedDict_1000 100 2.9999999995311555e-06 3.999999997006398e-06 2.9999999995311555e-06 3.3999999985212525e-06 setitem SortedDict_1000 1000 1.699999999971169e-05 1.9999999999242846e-05 1.800000000429236e-05 1.8400000000440288e-05 setitem SortedDict_1000 10000 0.00016699999999758575 0.00019300000000299633 0.00017100000000169757 0.0001756000000000313 setitem SortedDict_1000 100000 0.0017989999999983297 0.001967000000000496 0.0018719999999987635 0.001875400000000127 setitem SortedDict_1000 1000000 0.021736000000004196 0.022151999999998395 0.022104999999996267 0.02199939999999856 setitem SortedDict_1000 10000000 0.2909089999999992 0.29522999999999655 0.2918729999999954 0.2923837999999989 setitem_existing SortedDict_1000 100 1.9999999949504854e-06 2.9999999995311555e-06 2.0000000020559128e-06 2.3999999996249244e-06 setitem_existing SortedDict_1000 1000 5.999999999062311e-06 1.1999999998124622e-05 6.999999996537554e-06 7.80000000020209e-06 setitem_existing SortedDict_1000 10000 4.7999999999603915e-05 5.200000000371574e-05 5.099999999913507e-05 5.040000000207101e-05 setitem_existing SortedDict_1000 100000 0.0005559999999960041 0.0005689999999987094 0.0005669999999966535 0.0005647999999979447 setitem_existing SortedDict_1000 1000000 0.007640999999999565 0.008592000000000155 0.007694999999998231 0.008032199999999535 setitem_existing SortedDict_1000 10000000 0.10318700000000547 0.11369200000000035 0.10446599999998796 0.10648439999999937 delitem SortedDict_1000 100 5.999999999062311e-06 7.999999994012796e-06 6.999999996537554e-06 6.799999997042505e-06 delitem SortedDict_1000 1000 2.200000000129876e-05 3.100000000699765e-05 2.2999999998774e-05 2.5600000003578317e-05 delitem SortedDict_1000 10000 0.000206999999988966 0.00021200000000476393 0.0002090000000123382 0.00020959999999945467 delitem SortedDict_1000 100000 0.002564000000006672 0.002894999999995207 0.0025789999999972224 0.0026472000000012487 delitem SortedDict_1000 1000000 0.035609000000007995 0.03661600000000931 0.03605299999999545 0.03604220000000282 delitem SortedDict_1000 10000000 0.49894199999999955 0.5848440000000039 0.5061369999999954 0.5219689999999986 iter SortedDict_1000 100 1.1999999998124622e-05 1.7999999997186933e-05 1.3999999993075107e-05 1.4199999995412327e-05 iter SortedDict_1000 1000 9.599999999920783e-05 9.900000000584441e-05 9.700000001089393e-05 9.720000000186246e-05 iter SortedDict_1000 10000 0.0010120000000028995 0.00115300000000218 0.001036999999996624 0.0010524000000003753 iter SortedDict_1000 100000 0.00946500000000583 0.014097000000006688 0.009512000000000853 0.010452200000005973 iter SortedDict_1000 1000000 0.0921120000000002 0.10368800000000533 0.09884399999999971 0.09781060000000252 iter SortedDict_1000 10000000 0.9188039999999944 0.932140000000004 0.9213909999999998 0.9246607999999981 init SortedDict_1000 100 3.499999999689862e-05 3.90000000152213e-05 3.8999999986799594e-05 3.7600000001702935e-05 init SortedDict_1000 1000 0.0003280000000245309 0.00038200000000188084 0.00033200000001443186 0.0003414000000134365 init SortedDict_1000 10000 0.003757000000007338 0.014057000000008202 0.003876999999988584 0.005893800000001193 init SortedDict_1000 100000 0.053374999999988404 0.055216000000001486 0.0548960000000136 0.05465820000000008 init SortedDict_1000 1000000 0.8816829999999811 1.0189479999999946 0.8982220000000041 0.9193971999999974 init SortedDict_1000 10000000 13.51871700000001 13.722599000000002 13.671183000000013 13.63854520000001 contains SortedDict_10000 100 1.0000000010279564e-06 2.000000000279556e-06 1.999999998503199e-06 1.6000000002236448e-06 contains SortedDict_10000 1000 2.9999999995311555e-06 7.999999999341867e-06 4.000000000559112e-06 4.600000000110072e-06 contains SortedDict_10000 10000 1.2999999999152578e-05 1.4000000000180535e-05 1.4000000000180535e-05 1.3799999999619672e-05 contains SortedDict_10000 100000 0.00024900000000016576 0.00025399999999997647 0.00025399999999997647 0.000252800000000164 contains SortedDict_10000 1000000 0.004219000000000861 0.004790000000001626 0.004362000000000421 0.004416200000000714 contains SortedDict_10000 10000000 0.06791599999999676 0.07552599999999998 0.06849200000000266 0.07024679999999961 getitem SortedDict_10000 100 1.999999998503199e-06 1.1999999998124622e-05 2.9999999995311555e-06 4.799999998539306e-06 getitem SortedDict_10000 1000 2.9999999995311555e-06 4.000000000559112e-06 2.9999999995311555e-06 3.3999999992317954e-06 getitem SortedDict_10000 10000 1.699999999971169e-05 1.8000000000739647e-05 1.8000000000739647e-05 1.7800000000534057e-05 getitem SortedDict_10000 100000 0.0002940000000002385 0.00030599999999836314 0.0003010000000003288 0.0003001999999995064 getitem SortedDict_10000 1000000 0.004753999999998371 0.005246999999997115 0.004789000000002375 0.004880599999999902 getitem SortedDict_10000 10000000 0.073048 0.07975700000000074 0.07355600000000351 0.07480960000000039 setitem SortedDict_10000 100 2.9999999995311555e-06 5.000000001587068e-06 4.0000000041118255e-06 4.000000001269655e-06 setitem SortedDict_10000 1000 1.8999999994662176e-05 2.199999999419333e-05 1.9999999999242846e-05 1.999999999782176e-05 setitem SortedDict_10000 10000 0.00017299999999664806 0.0001869999999968286 0.0001790000000028158 0.00017999999999886995 setitem SortedDict_10000 100000 0.0018799999999998818 0.0019220000000004234 0.0019080000000002428 0.001905800000000113 setitem SortedDict_10000 1000000 0.02850100000000566 0.0292220000000043 0.028729000000005556 0.028819600000002766 setitem SortedDict_10000 10000000 0.5236610000000042 0.5324370000000016 0.5295389999999998 0.5291414000000003 setitem_existing SortedDict_10000 100 1.9999999949504854e-06 2.9999999995311555e-06 2.9999999995311555e-06 2.599999999119973e-06 setitem_existing SortedDict_10000 1000 5.999999999062311e-06 8.000000001118224e-06 7.000000003642981e-06 6.800000002726847e-06 setitem_existing SortedDict_10000 10000 4.2000000000541604e-05 5.699999999819738e-05 5.300000000119098e-05 5.15999999990413e-05 setitem_existing SortedDict_10000 100000 0.0005510000000015225 0.000605999999997664 0.0005620000000021719 0.000575599999999099 setitem_existing SortedDict_10000 1000000 0.007398999999999489 0.007917999999996539 0.007435000000000969 0.007577999999998042 setitem_existing SortedDict_10000 10000000 0.1026509999999945 0.10953899999999805 0.10289300000000168 0.10521459999999934 delitem SortedDict_10000 100 5.000000001587068e-06 7.999999994012796e-06 6.999999996537554e-06 6.399999998052408e-06 delitem SortedDict_10000 1000 2.4999999993724487e-05 2.6000000005410584e-05 2.500000000793534e-05 2.5400000001241097e-05 delitem SortedDict_10000 10000 0.00030200000000490945 0.00034499999999582087 0.00030399999999985994 0.0003158000000013317 delitem SortedDict_10000 100000 0.0037520000000057507 0.003937999999990893 0.0038709999999895217 0.0038475999999946 delitem SortedDict_10000 1000000 0.048649999999994975 0.04964099999999405 0.048737000000002695 0.04893519999999683 delitem SortedDict_10000 10000000 0.6944450000000018 0.7149840000000012 0.7018829999999951 0.703052199999999 iter SortedDict_10000 100 1.100000000064938e-05 1.2000000012335477e-05 1.1999999998124622e-05 1.1800000001471744e-05 iter SortedDict_10000 1000 9.799999999415832e-05 0.00013800000000685486 0.00012800000000368073 0.000119000000000824 iter SortedDict_10000 10000 0.0010079999999987876 0.001040999999986525 0.0010309999999975616 0.0010279999999937672 iter SortedDict_10000 100000 0.009129000000001497 0.015973999999999933 0.009639000000007059 0.010792400000002544 iter SortedDict_10000 1000000 0.09232499999998822 0.09386600000000556 0.092772999999994 0.09301779999999837 iter SortedDict_10000 10000000 0.9283960000000064 0.9801980000000015 0.9372659999999939 0.9441995999999989 init SortedDict_10000 100 3.100000000699765e-05 4.5999999997548e-05 3.300000000194814e-05 3.540000000157306e-05 init SortedDict_10000 1000 0.00029600000000584714 0.00032199999999704687 0.0003070000000064965 0.0003073999999998023 init SortedDict_10000 10000 0.0035060000000015634 0.004085000000003447 0.0037419999999883657 0.003772199999997383 init SortedDict_10000 100000 0.051173000000005686 0.05317900000000009 0.05273800000000506 0.052523600000003515 init SortedDict_10000 1000000 0.834512999999987 1.0285619999999938 0.8442009999999982 0.8815781999999956 init SortedDict_10000 10000000 12.789107000000001 19.747027000000003 12.914602000000002 14.2436912 python-sortedcontainers-2.1.0/tests/results_load_sortedlist.txt000066400000000000000000001105011337542712000253000ustar00rootroot00000000000000add SortedList_100 100 3.999999998782755e-06 5.999999999062311e-06 4.000000000559112e-06 4.79999999960512e-06 add SortedList_100 1000 1.799999999896329e-05 3.5999999999702936e-05 1.8000000000739647e-05 2.179999999967208e-05 add SortedList_100 10000 0.00015400000000020952 0.00017099999999992122 0.00015500000000123748 0.00015900000000073077 add SortedList_100 100000 0.0018330000000013058 0.002079000000000164 0.0018529999999987723 0.0018940000000000623 add SortedList_100 1000000 0.024003999999999692 0.02635400000000132 0.02524900000000052 0.025283400000000355 add SortedList_100 10000000 0.3730059999999966 0.395583000000002 0.37910200000000316 0.3816378 update_small SortedList_100 100 1.5999999988025593e-05 1.7999999997186933e-05 1.699999999971169e-05 1.679999999737447e-05 update_small SortedList_100 1000 0.00014500000000339242 0.00014899999999329339 0.00014600000000086766 0.00014639999999701558 update_small SortedList_100 10000 0.0015180000000043492 0.00160900000000197 0.0015829999999965594 0.0015718000000020994 update_small SortedList_100 100000 0.016887999999994463 0.016975999999999658 0.016954999999995835 0.016948799999997276 update_small SortedList_100 1000000 0.20057400000000314 0.21032699999999238 0.20141299999998807 0.20332999999999685 update_small SortedList_100 10000000 2.4593010000000106 2.4860840000000053 2.4631219999999985 2.4685562000000005 update_large SortedList_100 100 2.200000000129876e-05 2.4999999993724487e-05 2.2999999998774e-05 2.3399999997764097e-05 update_large SortedList_100 1000 0.00023300000000858745 0.0002460000000041873 0.0002340000000060627 0.00023640000000568762 update_large SortedList_100 10000 0.003146000000015192 0.0032989999999983866 0.0031520000000000437 0.0031801999999970577 update_large SortedList_100 100000 0.04240899999999215 0.043124000000005935 0.042820000000006075 0.042785000000003494 update_large SortedList_100 1000000 0.6506359999999916 1.1678839999999866 0.6758839999999964 0.8373481999999968 update_large SortedList_100 10000000 10.965007000000014 11.46655100000001 11.069983999999977 11.165515799999998 contains SortedList_100 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 3.799999990405922e-06 contains SortedList_100 1000 9.999999974752427e-06 1.4000000021496817e-05 1.1000000029071089e-05 1.2000000003808963e-05 contains SortedList_100 10000 9.399999999004649e-05 0.00011200000000144428 9.499999998752173e-05 9.839999999030624e-05 contains SortedList_100 100000 0.001197999999988042 0.0012849999999957618 0.0012229999999817665 0.0012305999999853157 contains SortedList_100 1000000 0.015178999999989173 0.015900999999985288 0.015567999999973381 0.015558599999997114 contains SortedList_100 10000000 0.26882599999999 0.27146199999998544 0.26933000000002494 0.26967180000000324 remove SortedList_100 100 3.999999989900971e-06 4.9999999873762135e-06 4.00000004674439e-06 4.400000000259751e-06 remove SortedList_100 1000 1.8000000011397788e-05 1.900000000887303e-05 1.900000000887303e-05 1.8800000009377982e-05 remove SortedList_100 10000 0.0001650000000381624 0.0001679999999737447 0.00016699999997626946 0.00016659999998864806 remove SortedList_100 100000 0.001925999999969008 0.0020989999999869724 0.0019689999999741303 0.0019909999999981665 remove SortedList_100 1000000 0.022681000000034146 0.02322199999997565 0.02275800000001027 0.022849600000006375 remove SortedList_100 10000000 0.34752900000000864 0.3592100000000187 0.3533260000000382 0.3529359999999997 delitem SortedList_100 100 4.9999999873762135e-06 7.999999979801942e-06 5.999999984851456e-06 5.999999984851456e-06 delitem SortedList_100 1000 6.199999995715189e-05 7.900000002791785e-05 7.499999998117346e-05 7.319999998571803e-05 delitem SortedList_100 10000 0.0006050000000072941 0.0006109999999921456 0.0006089999999971951 0.000608199999999215 delitem SortedList_100 100000 0.006532999999990352 0.006635000000017044 0.006549000000006799 0.0065626000000065686 delitem SortedList_100 1000000 0.07907199999999648 0.08213799999998628 0.08003200000001698 0.08023319999999785 delitem SortedList_100 10000000 0.9794180000000097 0.9876840000000016 0.9831540000000132 0.9834525999999982 bisect SortedList_100 100 1.9999999949504854e-06 5.000000044219632e-06 2.999999992425728e-06 3.400000002784509e-06 bisect SortedList_100 1000 3.299999997352643e-05 3.4999999968476914e-05 3.400000002784509e-05 3.380000000561267e-05 bisect SortedList_100 10000 0.00028899999995246617 0.0002910000000042601 0.00029000000000678483 0.00028999999999541616 bisect SortedList_100 100000 0.0034309999999777574 0.0035389999999893007 0.003497000000038497 0.0034892000000013466 bisect SortedList_100 1000000 0.04598300000003519 0.04670600000002878 0.04640100000000302 0.046355800000014824 bisect SortedList_100 10000000 0.6368989999999712 0.6498129999999946 0.6396100000000047 0.6426069999999868 getitem SortedList_100 100 3.999999989900971e-06 4.9999999873762135e-06 4.0000001035878086e-06 4.400000011628435e-06 getitem SortedList_100 1000 3.400000002784509e-05 4.400000000259752e-05 3.700000002027082e-05 3.880000001572625e-05 getitem SortedList_100 10000 0.0003100000000131331 0.0003140000000030341 0.0003120000000080836 0.0003122000000075786 getitem SortedList_100 100000 0.0034279999999853317 0.0036130000000866858 0.0034489999999323118 0.003476999999998043 getitem SortedList_100 1000000 0.04159100000003946 0.04366800000002513 0.04189599999995153 0.04220619999998689 getitem SortedList_100 10000000 0.5176359999999249 0.5371850000000222 0.5199820000000273 0.5237225999999964 pop SortedList_100 100 3.999999989900971e-06 3.999999989900971e-06 3.999999989900971e-06 3.999999989900971e-06 pop SortedList_100 1000 1.3999999964653398e-05 1.6999999957079126e-05 1.5999999959603883e-05 1.5599999983351154e-05 pop SortedList_100 10000 0.00012399999991430377 0.0001260000000229411 0.0001240000000279906 0.00012479999998049607 pop SortedList_100 100000 0.0012540000000171858 0.0012900000000399814 0.001262999999994463 0.001269800000000032 pop SortedList_100 1000000 0.012563000000000102 0.012893999999960215 0.01266499999996995 0.012706199999979618 pop SortedList_100 10000000 0.12609099999997397 0.12824799999998504 0.12644199999999728 0.12675619999997706 index SortedList_100 100 3.999999989900971e-06 5.000000101063051e-06 3.999999989900971e-06 4.400000011628435e-06 index SortedList_100 1000 4.0000000012696546e-05 4.799999999249849e-05 4.400000000259752e-05 4.3800000003102466e-05 index SortedList_100 10000 0.0003289999999651627 0.00033199999995758844 0.0003309999999601132 0.00033059999998386047 index SortedList_100 100000 0.0038660000000163564 0.004013999999983753 0.0039050000000315777 0.003917799999999261 index SortedList_100 1000000 0.05010800000002291 0.05057899999997062 0.05028300000003583 0.05030640000002222 index SortedList_100 10000000 0.675028999999995 0.7005149999999958 0.6784749999999349 0.6822753999999804 iter SortedList_100 100 1.099999997222767e-05 1.5000000075815478e-05 1.099999997222767e-05 1.2000000015177648e-05 iter SortedList_100 1000 8.900000000267028e-05 9.1999999995096e-05 9.000000000014552e-05 9.039999999913562e-05 iter SortedList_100 10000 0.0009129999999686333 0.0009709999999358843 0.0009149999999635838 0.0009269999999560241 iter SortedList_100 100000 0.00915599999996175 0.009233999999992193 0.009214000000042688 0.009199599999988095 iter SortedList_100 1000000 0.09218700000008084 0.09663999999997941 0.09272199999998065 0.09344740000001366 iter SortedList_100 10000000 0.9212850000000117 0.9357430000000022 0.9290170000000444 0.9292606000000205 count SortedList_100 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 3.799999990405922e-06 count SortedList_100 1000 1.6999999957079126e-05 1.799999995455437e-05 1.7000000070765964e-05 1.739999997880659e-05 count SortedList_100 10000 0.00021699999990687502 0.00022000000001298758 0.00021799999990435026 0.00021839999994881508 count SortedList_100 100000 0.0022529999999960637 0.002319999999940592 0.0022649999999657666 0.002274199999965276 count SortedList_100 1000000 0.025882000000024163 0.027122999999960484 0.026718000000073516 0.026500800000030723 count SortedList_100 10000000 0.3813320000000431 0.3862699999999677 0.3844249999999647 0.3840525999999954 priorityqueue SortedList_100 100 2.5000000050567905e-05 3.000000003794412e-05 2.6999999931831553e-05 2.7200000022276073e-05 priorityqueue SortedList_100 1000 0.00025199999993219535 0.00027199999999538704 0.0002540000000408327 0.00025740000000951113 priorityqueue SortedList_100 10000 0.0026300000000674117 0.003036000000065542 0.002998999999931584 0.002866200000016761 priorityqueue SortedList_100 100000 0.02738499999998112 0.027870000000007167 0.027553000000011707 0.0276189999999815 priorityqueue SortedList_100 1000000 0.3228229999999712 0.32686200000000554 0.32386700000006385 0.3246936000000005 priorityqueue SortedList_100 10000000 3.919913999999949 3.99254499999995 3.9575119999999515 3.959145399999966 multiset SortedList_100 100 2.4000000053092663e-05 2.9000000040468876e-05 2.6000000048043148e-05 2.6400000047033244e-05 multiset SortedList_100 1000 0.00027699999998276326 0.000321999999982836 0.00029900000004090543 0.00030019999999240097 multiset SortedList_100 10000 0.002777000000037333 0.0028969999999617357 0.002843999999981861 0.002834400000006099 multiset SortedList_100 100000 0.030754000000001724 0.031510000000025684 0.03084200000000692 0.031073200000014366 multiset SortedList_100 1000000 0.3950559999999541 0.4203989999999749 0.3984530000000177 0.4029101999999966 multiset SortedList_100 10000000 5.059897999999976 5.1337769999998955 5.100725000000011 5.103824199999986 ranking SortedList_100 100 2.7999999929306796e-05 2.9000000040468876e-05 2.800000015668047e-05 2.8400000019246363e-05 ranking SortedList_100 1000 0.00040400000011686643 0.0004139999998642452 0.0004109999999855063 0.0004104000000097585 ranking SortedList_100 10000 0.004259000000047308 0.004340999999840278 0.004294999999956417 0.004297399999950357 ranking SortedList_100 100000 0.05020399999989422 0.05524999999988722 0.05044300000008661 0.05136359999996785 ranking SortedList_100 1000000 0.6311729999999898 0.6435559999999896 0.6415230000000065 0.6382823999999345 ranking SortedList_100 10000000 7.782047999999804 7.869006000000127 7.81562299999996 7.820200199999954 neighbor SortedList_100 100 2.3999999939405825e-05 2.999999992425728e-05 2.700000004551839e-05 2.660000000105356e-05 neighbor SortedList_100 1000 0.0004229999999552092 0.0004490000001169392 0.0004340000000411237 0.00043580000001384176 neighbor SortedList_100 10000 0.0039329999999608845 0.003967000000102416 0.003960000000006403 0.003953400000000329 neighbor SortedList_100 100000 0.04592099999990751 0.04629500000010012 0.046177000000170665 0.046118800000067496 neighbor SortedList_100 1000000 0.5999909999998181 0.6168900000000122 0.6036329999999452 0.6053353999999672 neighbor SortedList_100 10000000 7.592905999999857 7.703152999999929 7.622669000000087 7.629611399999976 intervals SortedList_100 100 2.999999992425728e-05 4.0000000126383384e-05 3.599999990910874e-05 3.579999997782579e-05 intervals SortedList_100 1000 0.00046999999995023245 0.0005779999999049323 0.0004880000001321605 0.0005067999999937456 intervals SortedList_100 10000 0.005025000000159707 0.005130000000008295 0.005100999999967826 0.005083400000012261 intervals SortedList_100 100000 0.05970600000000559 0.06046100000003207 0.06029800000010255 0.06020939999998518 intervals SortedList_100 1000000 0.7503720000001977 0.7629969999998139 0.7513960000001134 0.7534502000000429 intervals SortedList_100 10000000 9.089512000000013 9.19608100000005 9.177072999999837 9.157605199999944 init SortedList_100 100 1.900000006571645e-05 1.9999999949504854e-05 1.900000006571645e-05 1.9400000019231813e-05 init SortedList_100 1000 0.00016100000016194826 0.00022000000012667442 0.00016200000004573667 0.00017340000003969181 init SortedList_100 10000 0.002219999999852007 0.0022759999999379943 0.002220999999963169 0.0022361999999702675 init SortedList_100 100000 0.03027099999985694 0.03047000000015032 0.030314999999973224 0.030346599999984392 init SortedList_100 1000000 0.5280949999998938 0.541005000000041 0.5315870000001723 0.5331408000000011 init SortedList_100 10000000 8.445290000000114 9.479354999999941 8.486662000000024 8.68328419999998 add SortedList_1000 100 2.9999999995311555e-06 4.999999999810711e-06 4.000000000559112e-06 3.999999999848569e-06 add SortedList_1000 1000 1.799999999896329e-05 1.8999999999991246e-05 1.8999999999991246e-05 1.8799999999785656e-05 add SortedList_1000 10000 0.00016499999999908255 0.00016999999999889326 0.0001660000000001105 0.00016699999999971737 add SortedList_1000 100000 0.0018960000000003419 0.002004000000001227 0.001954999999998819 0.0019476000000000937 add SortedList_1000 1000000 0.02568899999999985 0.031316999999999595 0.02674500000000002 0.02757920000000027 add SortedList_1000 10000000 0.42161399999999816 0.4406140000000036 0.4275999999999982 0.4290835999999999 update_small SortedList_1000 100 1.699999999971169e-05 1.8999999994662176e-05 1.7999999997186933e-05 1.7800000000534057e-05 update_small SortedList_1000 1000 0.00015799999999899228 0.0001699999999971169 0.00015899999999646752 0.0001607999999976073 update_small SortedList_1000 10000 0.0016669999999976426 0.001700999999997066 0.0016710000000017544 0.0016763999999994893 update_small SortedList_1000 100000 0.01829099999999073 0.019116999999994277 0.018383000000000038 0.018509199999999736 update_small SortedList_1000 1000000 0.22137200000000234 0.22622799999999188 0.22353999999999985 0.2235385999999977 update_small SortedList_1000 10000000 2.68810400000001 2.720909000000006 2.712336999999991 2.705484200000001 update_large SortedList_1000 100 2.4999999993724487e-05 2.700000001709668e-05 2.599999999119973e-05 2.5800000003073364e-05 update_large SortedList_1000 1000 0.00022699999999531428 0.00024700000000166256 0.00023100000001363696 0.0002341999999998734 update_large SortedList_1000 10000 0.0030820000000062464 0.0031329999999911706 0.003087999999991098 0.003095799999994142 update_large SortedList_1000 100000 0.03858700000000681 0.039614999999997735 0.03862000000000876 0.038955400000003235 update_large SortedList_1000 1000000 0.6065250000000049 0.6243240000000014 0.6080440000000067 0.6113595999999972 update_large SortedList_1000 10000000 9.51621799999998 10.133868000000007 9.609332999999992 9.722418999999997 contains SortedList_1000 100 2.999999992425728e-06 3.000000049269147e-06 2.999999992425728e-06 3.000000003794412e-06 contains SortedList_1000 1000 1.1000000029071089e-05 1.3000000024021574e-05 1.3000000024021574e-05 1.2600000013662794e-05 contains SortedList_1000 10000 9.800000003679088e-05 9.900000003426612e-05 9.89999999774227e-05 9.860000001253866e-05 contains SortedList_1000 100000 0.0012419999999906395 0.0012980000000197833 0.0012529999999628672 0.0012605999999891538 contains SortedList_1000 1000000 0.015824000000009164 0.01605699999998933 0.015834999999981392 0.015889399999991838 contains SortedList_1000 10000000 0.26548200000002 0.27083899999996675 0.26850899999999456 0.26837419999999385 remove SortedList_1000 100 2.999999992425728e-06 5.000000044219632e-06 4.9999999873762135e-06 4.2000000007647035e-06 remove SortedList_1000 1000 1.8000000011397788e-05 2.99999999811007e-05 1.900000000887303e-05 2.1000000003823516e-05 remove SortedList_1000 10000 0.00017300000001796434 0.00017500000001291482 0.00017300000001796434 0.00017380000000457584 remove SortedList_1000 100000 0.001990999999975429 0.0023410000000012587 0.0021820000000047912 0.002154799999993884 remove SortedList_1000 1000000 0.025034000000005108 0.025743999999974676 0.025552000000004682 0.025435400000003484 remove SortedList_1000 10000000 0.3928070000000048 0.4137279999999919 0.39960400000001073 0.40074379999999793 delitem SortedList_1000 100 5.999999984851456e-06 9.000000034120603e-06 6.000000041694875e-06 6.800000016937702e-06 delitem SortedList_1000 1000 2.7999999986150215e-05 3.799999996090264e-05 3.000000003794412e-05 3.100000000131331e-05 delitem SortedList_1000 10000 0.0004799999999818283 0.0004969999999957508 0.0004950000000008004 0.0004927999999949862 delitem SortedList_1000 100000 0.005559000000005199 0.005620000000021719 0.005599000000017895 0.005591200000003483 delitem SortedList_1000 1000000 0.06902699999994866 0.06966499999998632 0.06946000000004915 0.06941399999999476 delitem SortedList_1000 10000000 0.9229610000000434 0.9358210000000327 0.9305079999999748 0.9307284000000096 bisect SortedList_1000 100 2.999999992425728e-06 3.999999989900971e-06 2.999999992425728e-06 3.399999991415825e-06 bisect SortedList_1000 1000 1.2000000026546331e-05 1.3000000024021574e-05 1.2999999967178155e-05 1.2600000013662794e-05 bisect SortedList_1000 10000 0.0002230000000054133 0.00022599999999783904 0.0002230000000054133 0.00022400000000288856 bisect SortedList_1000 100000 0.0027980000000411565 0.0028760000000147556 0.002800000000036107 0.0028174000000149137 bisect SortedList_1000 1000000 0.03774199999998018 0.03891199999998207 0.03861100000000306 0.03836919999999964 bisect SortedList_1000 10000000 0.5475999999999885 0.5548420000000078 0.5501320000000192 0.5506289999999922 getitem SortedList_1000 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.999999992425728e-06 getitem SortedList_1000 1000 9.999999974752427e-06 1.099999997222767e-05 1.099999997222767e-05 1.0599999984606257e-05 getitem SortedList_1000 10000 0.00023799999996754195 0.0002499999999940883 0.00023999999996249244 0.00024139999999306383 getitem SortedList_1000 100000 0.0029009999999516367 0.00299500000005537 0.002931999999987056 0.0029399999999895955 getitem SortedList_1000 1000000 0.03557699999998931 0.03773000000001048 0.036856000000057065 0.03677560000003268 getitem SortedList_1000 10000000 0.4552219999999352 0.47018099999991136 0.4647469999999885 0.46389499999995676 pop SortedList_1000 100 3.999999989900971e-06 4.9999999873762135e-06 4.9999999873762135e-06 4.599999988386116e-06 pop SortedList_1000 1000 1.5999999959603883e-05 1.799999995455437e-05 1.6999999957079126e-05 1.6999999979816492e-05 pop SortedList_1000 10000 0.0001269999999067295 0.00013000000001284207 0.00012700000002041634 0.00012759999997342676 pop SortedList_1000 100000 0.0012530000000197106 0.001301000000012209 0.0012659999999868887 0.0012725999999929627 pop SortedList_1000 1000000 0.012780000000020664 0.013115999999968153 0.012819000000035885 0.01287240000001475 pop SortedList_1000 10000000 0.12892199999998866 0.13494900000000598 0.1295750000000453 0.13046240000001036 index SortedList_1000 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 3.999999989900971e-06 index SortedList_1000 1000 1.499999996212864e-05 1.6999999957079126e-05 1.5000000075815478e-05 1.5400000006593472e-05 index SortedList_1000 10000 0.0002610000000231594 0.0002660000000105356 0.0002620000000206346 0.0002628000000186148 index SortedList_1000 100000 0.0031420000000252912 0.0032089999999698193 0.0031610000000910077 0.003164799999990464 index SortedList_1000 1000000 0.0416730000000598 0.04260099999999056 0.04244800000003579 0.042257400000016786 index SortedList_1000 10000000 0.5807439999999815 0.5880559999999377 0.5814359999999397 0.5835005999999566 iter SortedList_1000 100 9.999999974752427e-06 1.1000000085914508e-05 1.099999997222767e-05 1.0799999995469988e-05 iter SortedList_1000 1000 8.900000000267028e-05 9.699999998247222e-05 9.099999999762076e-05 9.15999999961059e-05 iter SortedList_1000 10000 0.0009089999999787324 0.0009619999999586071 0.0009099999999762076 0.0009199999999736974 iter SortedList_1000 100000 0.009180000000014843 0.009395000000040454 0.00929699999994682 0.009288199999991776 iter SortedList_1000 1000000 0.09180699999990338 0.09439700000007178 0.0924289999999246 0.09274419999999281 iter SortedList_1000 10000000 0.9175670000000764 0.9346699999999828 0.9248460000000023 0.9261113999999907 count SortedList_1000 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 3.799999990405922e-06 count SortedList_1000 1000 1.6999999957079126e-05 2.0999999946980097e-05 1.7000000070765964e-05 1.8000000000029105e-05 count SortedList_1000 10000 0.0001650000000381624 0.00016900000002806337 0.0001650000000381624 0.00016600000001290027 count SortedList_1000 100000 0.0021299999999655483 0.0021550000000161162 0.0021510000000262153 0.002145999999993364 count SortedList_1000 1000000 0.024385999999935848 0.024713000000019747 0.024442000000021835 0.02453619999998864 count SortedList_1000 10000000 0.3590470000000323 0.3630470000000514 0.36005199999999604 0.3607788000000028 priorityqueue SortedList_1000 100 2.700000004551839e-05 2.9000000040468876e-05 2.8000000042993634e-05 2.8199999997013946e-05 priorityqueue SortedList_1000 1000 0.0002610000000231594 0.0002709999999979118 0.00026599999989684875 0.0002663999999867883 priorityqueue SortedList_1000 10000 0.002629999999953725 0.002686000000039712 0.0026500000000169166 0.002651400000013382 priorityqueue SortedList_1000 100000 0.027665999999953783 0.028601999999978034 0.02801899999997204 0.028070999999977177 priorityqueue SortedList_1000 1000000 0.3446289999999408 0.3542850000000044 0.3493459999999686 0.34929460000000745 priorityqueue SortedList_1000 10000000 4.119703999999956 4.146069000000011 4.126831000000038 4.129573200000005 multiset SortedList_1000 100 2.300000005561742e-05 2.8000000042993634e-05 2.4999999936881068e-05 2.540000000408327e-05 multiset SortedList_1000 1000 0.00022800000010647636 0.0002479999999422944 0.00023999999996249244 0.0002391999999872496 multiset SortedList_1000 10000 0.0027039999999942665 0.0027760000000398577 0.0027370000000246364 0.0027386000000205967 multiset SortedList_1000 100000 0.029123000000026877 0.029459999999971842 0.029219000000011874 0.029241200000024038 multiset SortedList_1000 1000000 0.38768099999992955 0.39360599999997703 0.39162999999996373 0.39105739999997696 multiset SortedList_1000 10000000 4.883497000000034 4.931215000000066 4.91715099999999 4.911842400000023 ranking SortedList_1000 100 2.7999999929306796e-05 3.000000003794412e-05 2.8000000042993634e-05 2.8799999995499093e-05 ranking SortedList_1000 1000 0.00024999999993724487 0.00025600000003578316 0.0002509999999347201 0.00025160000000141737 ranking SortedList_1000 10000 0.0038710000000037326 0.004064000000084889 0.003926000000092245 0.003937400000017988 ranking SortedList_1000 100000 0.04577200000005632 0.046818000000030224 0.04639399999996385 0.04625040000000809 ranking SortedList_1000 1000000 0.5861439999999902 0.5958400000000665 0.5904899999999316 0.5905743999999913 ranking SortedList_1000 10000000 7.227051999999958 7.310582999999951 7.274454999999989 7.272279799999978 neighbor SortedList_1000 100 2.3999999939405825e-05 3.100000003541936e-05 2.7999999929306796e-05 2.699999995456892e-05 neighbor SortedList_1000 1000 0.0002360000000862783 0.00025600000003578316 0.00024499999994986865 0.0002457999999933236 neighbor SortedList_1000 10000 0.0034509999998135754 0.0035230000000865402 0.003478999999970256 0.0034813999999641966 neighbor SortedList_1000 100000 0.04066699999998491 0.04108599999995022 0.04095800000004601 0.04093379999994795 neighbor SortedList_1000 1000000 0.5463090000000648 0.5505640000001222 0.548860999999988 0.5487722000000304 neighbor SortedList_1000 10000000 6.992721000000074 7.048246000000063 7.03088200000002 7.024097200000005 intervals SortedList_1000 100 3.999999989900971e-05 6.299999995462713e-05 4.6999999995023245e-05 4.840000001422595e-05 intervals SortedList_1000 1000 0.0002789999998640269 0.000293000000056054 0.0002899999999499414 0.0002873999999337684 intervals SortedList_1000 10000 0.004330999999865526 0.00444100000004255 0.004361000000017157 0.004369799999949464 intervals SortedList_1000 100000 0.05116999999995642 0.05379599999992024 0.05138499999998203 0.05200379999996585 intervals SortedList_1000 1000000 0.6730689999999413 0.6855499999999211 0.682365000000118 0.6810249999999541 intervals SortedList_1000 10000000 8.368026999999984 8.443809999999985 8.426942000000054 8.41271700000002 init SortedList_1000 100 1.3999999964653398e-05 1.5999999959603883e-05 1.5000000075815478e-05 1.5000000030340743e-05 init SortedList_1000 1000 0.00016200000004573667 0.00016399999981331348 0.00016299999992952507 0.00016299999997499982 init SortedList_1000 10000 0.0022190000001955923 0.0025040000000444707 0.0022839999999177962 0.0023514000000432133 init SortedList_1000 100000 0.030416000000059285 0.031340000000000146 0.030631999999968684 0.030707400000028428 init SortedList_1000 1000000 0.5138220000001184 0.5308430000000044 0.5247130000000197 0.5223364000000401 init SortedList_1000 10000000 8.430441999999857 8.567232999999987 8.503335000000106 8.512036800000033 add SortedList_10000 100 3.999999998782755e-06 4.999999999810711e-06 4.000000000559112e-06 4.399999999549209e-06 add SortedList_10000 1000 1.8000000000739647e-05 1.9999999999242846e-05 1.8999999999991246e-05 1.8999999999991246e-05 add SortedList_10000 10000 0.00031899999999929207 0.0003709999999994551 0.00032000000000032003 0.0003298000000000911 add SortedList_10000 100000 0.0036399999999989774 0.003723000000000809 0.00367799999999896 0.003672399999999598 add SortedList_10000 1000000 0.045459000000001026 0.04779399999999967 0.046165999999999485 0.0463358000000003 add SortedList_10000 10000000 0.6384070000000008 0.6913469999999933 0.6480159999999984 0.6617671999999984 update_small SortedList_10000 100 1.6000000002236447e-05 1.699999999971169e-05 1.699999999971169e-05 1.6600000000721594e-05 update_small SortedList_10000 1000 0.00015700000000151704 0.00015899999999646752 0.00015899999999646752 0.00015839999999798238 update_small SortedList_10000 10000 0.003236999999998602 0.00332000000000221 0.0032389999999935526 0.003259599999998386 update_small SortedList_10000 100000 0.034140999999991095 0.03462400000000798 0.03432200000000307 0.034365200000002004 update_small SortedList_10000 1000000 0.3757439999999974 0.37817300000000387 0.3765910000000048 0.37691580000000047 update_small SortedList_10000 10000000 4.2584659999999985 4.294289000000006 4.27644500000001 4.276060599999999 update_large SortedList_10000 100 2.200000000129876e-05 2.4000000024670953e-05 2.2999999998774e-05 2.3200000009637732e-05 update_large SortedList_10000 1000 0.00022799999999278953 0.00023100000001363696 0.00023000000001616172 0.00022940000001199224 update_large SortedList_10000 10000 0.003068999999982225 0.003166999999990594 0.0030739999999980228 0.0031011999999918773 update_large SortedList_10000 100000 0.038473000000010416 0.038852999999988924 0.03859600000001251 0.038619400000010275 update_large SortedList_10000 1000000 0.6020479999999964 0.6184060000000215 0.6110500000000059 0.6110074000000054 update_large SortedList_10000 10000000 9.150359000000009 9.516998999999998 9.327542999999991 9.319211000000001 contains SortedList_10000 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 3.199999991920777e-06 contains SortedList_10000 1000 1.099999997222767e-05 1.2000000026546331e-05 1.1000000029071089e-05 1.1400000005323818e-05 contains SortedList_10000 10000 9.89999999774227e-05 0.00010000000003174137 9.900000003426612e-05 9.92000000110238e-05 contains SortedList_10000 100000 0.0011679999999500978 0.0012210000000436594 0.0011990000000423606 0.00119520000000648 contains SortedList_10000 1000000 0.016269000000022515 0.016684999999995398 0.016412000000002536 0.016436800000008134 contains SortedList_10000 10000000 0.2699599999999691 0.28128700000002027 0.27059100000002445 0.2729248000000098 remove SortedList_10000 100 3.999999989900971e-06 5.999999984851456e-06 3.999999989900971e-06 4.599999988386116e-06 remove SortedList_10000 1000 1.899999995202961e-05 2.1000000003823516e-05 1.900000000887303e-05 1.9599999984620808e-05 remove SortedList_10000 10000 0.0002579999999738902 0.0002690000000029613 0.00025899999997136547 0.0002605999999900632 remove SortedList_10000 100000 0.003058000000009997 0.00332599999995864 0.0030960000000277432 0.00313699999999244 remove SortedList_10000 1000000 0.039861000000030344 0.04099899999999934 0.04017399999997906 0.04025180000001001 remove SortedList_10000 10000000 0.5932329999999979 0.6086750000000052 0.5981150000000071 0.5998257999999964 delitem SortedList_10000 100 4.9999999873762135e-06 7.000000039170118e-06 6.000000041694875e-06 6.200000007083872e-06 delitem SortedList_10000 1000 2.7999999986150215e-05 2.99999999811007e-05 2.8999999983625457e-05 2.8799999995499093e-05 delitem SortedList_10000 10000 0.00032999999996263796 0.0003439999999841348 0.00033899999999675856 0.00033799999998791465 delitem SortedList_10000 100000 0.005459000000030301 0.00571300000001429 0.005573999999967327 0.005575400000009267 delitem SortedList_10000 1000000 0.07131899999995994 0.07451400000002195 0.07187400000003663 0.07259819999999309 delitem SortedList_10000 10000000 0.9473110000000133 0.9806760000000168 0.9578880000000254 0.9586214000000155 bisect SortedList_10000 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 3.800000001774606e-06 bisect SortedList_10000 1000 1.1999999969702912e-05 1.3999999964653398e-05 1.2999999967178155e-05 1.3199999966673203e-05 bisect SortedList_10000 10000 0.00010400000002164234 0.00010600000001659282 0.00010500000001911758 0.00010520000000724394 bisect SortedList_10000 100000 0.002123000000040065 0.00228599999996959 0.002143999999987045 0.002192000000002281 bisect SortedList_10000 1000000 0.03169600000001083 0.03242499999998927 0.03206999999997606 0.03204759999999851 bisect SortedList_10000 10000000 0.4752510000000143 0.4888230000000249 0.4770780000000059 0.48072960000001785 getitem SortedList_10000 100 2.999999992425728e-06 3.999999989900971e-06 2.999999992425728e-06 3.199999991920777e-06 getitem SortedList_10000 1000 8.999999977277184e-06 9.000000090964022e-06 8.999999977277184e-06 9.000000000014552e-06 getitem SortedList_10000 10000 6.499999994957761e-05 6.700000005821494e-05 6.60000000607397e-05 6.620000001476001e-05 getitem SortedList_10000 100000 0.002114999999889733 0.002128999999968073 0.002116000000000895 0.0021203999999670486 getitem SortedList_10000 1000000 0.027294000000097185 0.028187000000002627 0.027589000000034503 0.027626800000030018 getitem SortedList_10000 10000000 0.36838399999999183 0.37339300000007825 0.3706359999999904 0.370595000000003 pop SortedList_10000 100 3.000000106112566e-06 4.9999999873762135e-06 3.999999989900971e-06 4.200000012133387e-06 pop SortedList_10000 1000 1.5000000075815478e-05 1.8000000068241206e-05 1.600000007329072e-05 1.6400000026806084e-05 pop SortedList_10000 10000 0.00012499999991177901 0.00014899999996487168 0.00012500000002546585 0.0001307999999880849 pop SortedList_10000 100000 0.001241999999933796 0.0013020000000096843 0.0012659999999868887 0.0012673999999833542 pop SortedList_10000 1000000 0.012363000000050306 0.012905999999929918 0.0126109999999926 0.012605600000006234 pop SortedList_10000 10000000 0.1278060000000778 0.14295900000001893 0.1286080000000993 0.1316314000000375 index SortedList_10000 100 3.999999989900971e-06 4.9999999873762135e-06 4.0000001035878086e-06 4.400000011628435e-06 index SortedList_10000 1000 1.499999996212864e-05 1.7000000070765964e-05 1.5999999959603883e-05 1.57999999828462e-05 index SortedList_10000 10000 0.00014099999998506973 0.00016700000003311288 0.00014299999998002022 0.00014779999999063874 index SortedList_10000 100000 0.0024859999999762294 0.002669000000082633 0.0025069999999232095 0.002541199999973287 index SortedList_10000 1000000 0.035397999999986496 0.03629000000000815 0.0357370000000401 0.03579979999999523 index SortedList_10000 10000000 0.5060780000000022 0.5146930000000793 0.5097230000000081 0.5101546000000099 iter SortedList_10000 100 9.999999974752427e-06 1.1000000085914508e-05 1.099999997222767e-05 1.059999999597494e-05 iter SortedList_10000 1000 8.900000000267028e-05 9.000000000014552e-05 8.900000000267028e-05 8.940000000166038e-05 iter SortedList_10000 10000 0.0009079999999812571 0.0010059999999612046 0.0009170000000722212 0.0009385999999949491 iter SortedList_10000 100000 0.009152999999969325 0.009376999999972213 0.009232999999994718 0.009257000000002336 iter SortedList_10000 1000000 0.09198800000001484 0.09298200000000634 0.09269199999994271 0.09256419999999252 iter SortedList_10000 10000000 0.9162099999999782 0.9448510000000852 0.9222739999999021 0.9257105999999794 count SortedList_10000 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 4.1999999893960195e-06 count SortedList_10000 1000 1.7000000070765964e-05 1.899999995202961e-05 1.899999995202961e-05 1.83999999990192e-05 count SortedList_10000 10000 0.0001659999999219508 0.00016800000003058813 0.00016700000003311288 0.00016720000000987057 count SortedList_10000 100000 0.0019019999999727588 0.0019839999999931024 0.0019269999999096399 0.0019383999999718071 count SortedList_10000 1000000 0.024429999999938445 0.024859999999989668 0.024779999999964275 0.024687399999970695 count SortedList_10000 10000000 0.3591440000000148 0.37219600000003084 0.36909800000000814 0.3666872000000012 priorityqueue SortedList_10000 100 2.6999999931831553e-05 2.999999992425728e-05 2.7999999929306796e-05 2.799999997478153e-05 priorityqueue SortedList_10000 1000 0.00026700000000801083 0.00027899999997771374 0.00027000000000043656 0.00027199999999538704 priorityqueue SortedList_10000 10000 0.0033280000000104337 0.003467000000000553 0.0033870000000888467 0.0033910000000332728 priorityqueue SortedList_10000 100000 0.03650700000002871 0.03702099999998154 0.03682800000001407 0.03679979999999432 priorityqueue SortedList_10000 1000000 0.4534640000000536 0.47003400000005513 0.46174199999995835 0.46239020000000436 priorityqueue SortedList_10000 10000000 5.286713999999961 5.369058999999993 5.341973000000053 5.33341240000002 multiset SortedList_10000 100 2.8000000042993634e-05 3.500000002532033e-05 3.199999991920777e-05 3.120000001217704e-05 multiset SortedList_10000 1000 0.00022299999989172647 0.00023099999998521525 0.00022599999999783904 0.00022619999997459673 multiset SortedList_10000 10000 0.0025059999999257343 0.002669000000082633 0.0025650000000041473 0.0025730000000066867 multiset SortedList_10000 100000 0.03071999999997388 0.031156000000009954 0.030934000000002015 0.030955200000016704 multiset SortedList_10000 1000000 0.423567999999932 0.4299630000000434 0.4252450000000181 0.42673419999998713 multiset SortedList_10000 10000000 5.684498000000076 5.720864000000006 5.70318999999995 5.704144999999994 ranking SortedList_10000 100 2.6999999931831553e-05 3.000000003794412e-05 2.8000000042993634e-05 2.8399999996508997e-05 ranking SortedList_10000 1000 0.0002489999999397696 0.00025600000003578316 0.00025100000004840695 0.00025180000002364975 ranking SortedList_10000 10000 0.002777000000037333 0.003074000000083288 0.002849000000082924 0.002882800000043062 ranking SortedList_10000 100000 0.04195700000002489 0.04212899999993169 0.041987999999946624 0.042011399999978494 ranking SortedList_10000 1000000 0.5543410000000222 0.5637940000000299 0.5563929999999573 0.5588527999999997 ranking SortedList_10000 10000000 7.362767000000076 7.414406000000099 7.380523000000039 7.382824800000071 neighbor SortedList_10000 100 2.3999999939405825e-05 3.300000003036985e-05 2.599999993435631e-05 2.779999999802385e-05 neighbor SortedList_10000 1000 0.0002360000000862783 0.0002540000000408327 0.00024600000006103073 0.000244600000041828 neighbor SortedList_10000 10000 0.002787000000125772 0.0028839999999945576 0.0028529999999591382 0.0028398000000379397 neighbor SortedList_10000 100000 0.038066000000071654 0.038563000000067404 0.0380889999998999 0.038222600000017336 neighbor SortedList_10000 1000000 0.5391190000000279 0.544983000000002 0.5429680000002008 0.5419742000000042 neighbor SortedList_10000 10000000 7.208641999999827 7.340016999999989 7.277501000000029 7.270121999999901 intervals SortedList_10000 100 3.100000003541936e-05 4.899999998997373e-05 3.699999979289714e-05 3.819999997176637e-05 intervals SortedList_10000 1000 0.00028500000007625204 0.00035099999990961805 0.00029699999981858127 0.0003153999999994994 intervals SortedList_10000 10000 0.003273999999919397 0.0034700000001066655 0.0032860000001164735 0.003320400000029622 intervals SortedList_10000 100000 0.04916900000011992 0.05089599999996608 0.049707000000125845 0.04984479999998257 intervals SortedList_10000 1000000 0.6601530000000366 0.6708430000001044 0.6673739999998816 0.6663368000000446 intervals SortedList_10000 10000000 8.854872999999998 8.919773000000077 8.90024900000003 8.893970600000012 init SortedList_10000 100 1.9999999949504854e-05 2.1000000060666935e-05 1.9999999949504854e-05 2.0200000017212004e-05 init SortedList_10000 1000 0.00016300000015689875 0.0002139999999144493 0.00016400000004068715 0.00017400000006091433 init SortedList_10000 10000 0.00221800000008443 0.0022839999999177962 0.0022240000000692817 0.0022438000000420287 init SortedList_10000 100000 0.030033000000003085 0.030361999999968248 0.030106000000159838 0.030139800000051765 init SortedList_10000 1000000 0.5233749999999873 0.5389160000001993 0.535665999999992 0.5320734000000357 init SortedList_10000 10000000 8.448174999999992 8.622822000000042 8.550305999999864 8.536662999999953 python-sortedcontainers-2.1.0/tests/results_load_sortedset.txt000066400000000000000000002477061337542712000251420ustar00rootroot00000000000000contains SortedSet_100 100 1.999999998503199e-06 2.9999999995311555e-06 2.000000000279556e-06 2.1999999997746046e-06 contains SortedSet_100 1000 3.0000000013075123e-06 4.999999999810711e-06 4.000000000559112e-06 4.200000000409432e-06 contains SortedSet_100 10000 1.8999999999991246e-05 1.9999999999242846e-05 1.8999999999991246e-05 1.9199999999841567e-05 contains SortedSet_100 100000 0.0002309999999994261 0.00024599999999885824 0.00023400000000073362 0.00023559999999989145 contains SortedSet_100 1000000 0.0031689999999997553 0.0033680000000000376 0.0032239999999994495 0.003238999999999592 contains SortedSet_100 10000000 0.05050899999999103 0.05529700000000304 0.05122000000000071 0.05233640000000008 iter SortedSet_100 100 9.999999988963282e-06 1.100000000064938e-05 9.999999988963282e-06 1.039999999363772e-05 iter SortedSet_100 1000 9.099999999762076e-05 9.600000001341868e-05 9.1999999995096e-05 9.300000000109777e-05 iter SortedSet_100 10000 0.0009149999999920055 0.0010710000000102582 0.0009219999999885431 0.0009643999999980224 iter SortedSet_100 100000 0.009250999999991905 0.009378000000012321 0.009265999999996666 0.009285399999998844 iter SortedSet_100 1000000 0.09214399999999046 0.09368800000000022 0.09219000000000221 0.09260979999999677 iter SortedSet_100 10000000 0.9267429999999877 0.9537929999999903 0.9322459999999921 0.9344443999999925 add SortedSet_100 100 4.9999999873762135e-06 5.000000015797923e-06 5.000000015797923e-06 5.000000010113581e-06 add SortedSet_100 1000 2.200000000129876e-05 2.4999999993724487e-05 2.4000000024670953e-05 2.3600000002943488e-05 add SortedSet_100 10000 0.0001859999999851425 0.00019700000001421358 0.00018700000001103945 0.0001890000000003056 add SortedSet_100 100000 0.0019849999999905776 0.0022380000000055134 0.002174999999994043 0.0021276000000000294 add SortedSet_100 1000000 0.022257999999993672 0.022889000000020587 0.022500000000007958 0.022539000000006127 add SortedSet_100 10000000 0.31791700000002265 0.3235260000000153 0.31955100000001835 0.3197608000000116 update_tiny SortedSet_100 100 1.7999999982976078e-05 2.0999999975401806e-05 1.8000000011397788e-05 1.8599999992829908e-05 update_tiny SortedSet_100 1000 2.0000000006348273e-05 2.1000000003823516e-05 2.1000000003823516e-05 2.0799999998644125e-05 update_tiny SortedSet_100 10000 2.200000000129876e-05 2.300000002719571e-05 2.2999999998774e-05 2.2600000005468245e-05 update_tiny SortedSet_100 100000 3.499999999689862e-05 3.5999999994373866e-05 3.5999999994373866e-05 3.559999999538377e-05 update_tiny SortedSet_100 1000000 4.3000000005122274e-05 4.6999999995023245e-05 4.3000000005122274e-05 4.3800000003102466e-05 update_tiny SortedSet_100 10000000 5.3999999977349944e-05 0.00011299999999891952 6.20000000139953e-05 7.099999999127249e-05 update_small SortedSet_100 100 1.8000000011397788e-05 2.1000000003823516e-05 1.899999995202961e-05 1.9199999996999395e-05 update_small SortedSet_100 1000 0.00015899999999646752 0.00016199999998889325 0.00015999999999394277 0.00016039999999293287 update_small SortedSet_100 10000 0.0016270000000417895 0.0017829999999889878 0.0016299999999773718 0.0016604000000029373 update_small SortedSet_100 100000 0.017069000000049073 0.017581999999947584 0.017323000000033062 0.017345000000011622 update_small SortedSet_100 1000000 0.1865099999999984 0.19543600000002925 0.1885599999999954 0.18947999999999182 update_small SortedSet_100 10000000 1.9701789999999733 2.623000999999988 1.9805299999999875 2.1081251999999835 update_medium SortedSet_100 100 1.3000000024021574e-05 2.6999999988674972e-05 1.3999999964653398e-05 1.6399999992700032e-05 update_medium SortedSet_100 1000 6.799999999884676e-05 7.100000004811591e-05 6.999999999379725e-05 6.960000001754452e-05 update_medium SortedSet_100 10000 0.0005400000000008731 0.0005429999999932988 0.0005419999999958236 0.0005417999999963285 update_medium SortedSet_100 100000 0.008382999999980711 0.009365999999999985 0.008864000000016858 0.00889319999999998 update_medium SortedSet_100 1000000 0.1350699999999847 0.6381640000000175 0.14251000000001568 0.33120300000000497 update_medium SortedSet_100 10000000 2.1780840000000126 3.072287000000017 2.880863999999974 2.8163905999999996 update_large SortedSet_100 100 1.6000000016447302e-05 3.500000002532033e-05 1.8000000011397788e-05 2.1400000014182298e-05 update_large SortedSet_100 1000 8.900000000267028e-05 9.000000000014552e-05 8.900000000267028e-05 8.920000000216533e-05 update_large SortedSet_100 10000 0.0007820000000151595 0.0007920000000467553 0.0007840000000101099 0.0007858000000169341 update_large SortedSet_100 100000 0.013985999999988508 0.01763600000003862 0.014124000000037995 0.014785800000004201 update_large SortedSet_100 1000000 0.18964299999998957 0.6409170000000017 0.19605599999999868 0.2838581999999974 update_large SortedSet_100 10000000 3.588109999999915 3.918506999999977 3.7726290000000517 3.7563133999999763 union_tiny SortedSet_100 100 2.2999999941930582e-05 2.6000000048043148e-05 2.300000005561742e-05 2.360000000862783e-05 union_tiny SortedSet_100 1000 6.69999999445281e-05 7.200000004559115e-05 7.100000004811591e-05 7.000000000516593e-05 union_tiny SortedSet_100 10000 0.0005400000000008731 0.0005770000000211439 0.0005439999999907741 0.0005546000000094864 union_tiny SortedSet_100 100000 0.006863999999950465 0.0072339999999258 0.006965000000036525 0.0070055999999567575 union_tiny SortedSet_100 1000000 0.0997260000000324 0.10768499999994674 0.10331999999993968 0.10377779999998893 union_tiny SortedSet_100 10000000 1.790405000000078 2.6544039999999995 1.869448000000034 2.0079252000000225 union_small SortedSet_100 100 2.199999994445534e-05 2.4999999936881068e-05 2.300000005561742e-05 2.3199999986900366e-05 union_small SortedSet_100 1000 7.299999992937956e-05 7.600000003549212e-05 7.400000004054164e-05 7.439999999405699e-05 union_small SortedSet_100 10000 0.0005939999999782231 0.0005969999999706488 0.0005950000000893851 0.0005951999999979307 union_small SortedSet_100 100000 0.006243999999924199 0.006466999999929612 0.006317999999964741 0.006343199999969329 union_small SortedSet_100 1000000 0.12379499999997279 0.1376549999999952 0.12393399999996291 0.1277673999999706 union_small SortedSet_100 10000000 1.6945329999999785 2.7857380000000376 1.973532999999975 2.043365799999992 union_medium SortedSet_100 100 2.3999999939405825e-05 2.7999999929306796e-05 2.4999999936881068e-05 2.53999999813459e-05 union_medium SortedSet_100 1000 0.00010799999995469989 0.00012500000002546585 0.00010899999995217513 0.00011259999998856074 union_medium SortedSet_100 10000 0.0008070000000088839 0.000853000000006432 0.0008280000000695509 0.0008262000000286207 union_medium SortedSet_100 100000 0.010200999999938176 0.010571000000027198 0.01049399999999423 0.010410400000000663 union_medium SortedSet_100 1000000 0.19079499999998006 0.2171210000000201 0.19206899999994675 0.19689339999999902 union_medium SortedSet_100 10000000 2.8993619999999964 4.121292999999923 2.9220600000001014 3.160972000000015 union_large SortedSet_100 100 2.6999999931831553e-05 3.000000003794412e-05 2.700000004551839e-05 2.7599999998528802e-05 union_large SortedSet_100 1000 0.0001310000000103173 0.0001469999999699212 0.00013200000000779255 0.00013460000000122818 union_large SortedSet_100 10000 0.001167000000009466 0.0012490000000298096 0.0011939999999412976 0.001202000000012049 union_large SortedSet_100 100000 0.014685999999983324 0.016651000000024396 0.015344000000027336 0.01561060000001362 union_large SortedSet_100 1000000 0.22914000000002943 0.23754699999994955 0.2336080000000038 0.23270780000000285 union_large SortedSet_100 10000000 3.863279999999918 5.1856650000000855 3.8729489999999487 4.138739999999984 remove SortedSet_100 100 3.999999989900971e-06 5.999999984851456e-06 3.999999989900971e-06 4.599999988386116e-06 remove SortedSet_100 1000 2.199999994445534e-05 2.4999999936881068e-05 2.2999999941930582e-05 2.2999999987405318e-05 remove SortedSet_100 10000 0.00019699999995737016 0.00040999999998803105 0.00020300000005590846 0.00024240000000190775 remove SortedSet_100 100000 0.002250000000003638 0.002484000000094966 0.002262999999970816 0.002307599999994636 remove SortedSet_100 1000000 0.02853699999991477 0.02949999999998454 0.028868999999986045 0.028931399999964923 remove SortedSet_100 10000000 0.38905099999999493 0.4014039999999568 0.39500599999996666 0.3953915999999708 difference_tiny SortedSet_100 100 1.3999999964653398e-05 1.5999999959603883e-05 1.499999996212864e-05 1.4999999984866009e-05 difference_tiny SortedSet_100 1000 3.90000000152213e-05 4.200000000764703e-05 4.100000001017179e-05 4.060000001118169e-05 difference_tiny SortedSet_100 10000 0.00030900000001565786 0.0003839999999399879 0.0003150000000005093 0.0003300000000081127 difference_tiny SortedSet_100 100000 0.003730000000018663 0.004221000000029562 0.0038319999999885113 0.003944200000000819 difference_tiny SortedSet_100 1000000 0.057920999999964806 0.06357500000001437 0.05818099999999049 0.06005239999999503 difference_tiny SortedSet_100 10000000 1.0718560000000252 2.037810000000036 1.2112369999999828 1.3502948000000288 difference_small SortedSet_100 100 1.900000006571645e-05 2.199999994445534e-05 1.9999999949504854e-05 2.0399999993969686e-05 difference_small SortedSet_100 1000 4.1999999893960194e-05 4.9000000217347406e-05 4.5999999883861165e-05 4.5399999999062855e-05 difference_small SortedSet_100 10000 0.00033699999994496466 0.0003449999999247666 0.0003430000001571898 0.00034120000000257276 difference_small SortedSet_100 100000 0.003333999999995285 0.003764000000046508 0.0034009999999398133 0.003459999999995489 difference_small SortedSet_100 1000000 0.05731100000002698 0.06381299999998191 0.058538999999882435 0.06008739999997488 difference_small SortedSet_100 10000000 1.1658419999998841 1.8221450000000914 1.1817920000000868 1.3104440000000068 difference_medium SortedSet_100 100 1.799999995455437e-05 2.099999983329326e-05 1.799999995455437e-05 1.8799999952534564e-05 difference_medium SortedSet_100 1000 4.899999998997373e-05 5.499999997482519e-05 5.3999999863663106e-05 5.3399999933390065e-05 difference_medium SortedSet_100 10000 0.0003859999999349384 0.00044300000013208773 0.00038900000004105095 0.00040220000000772415 difference_medium SortedSet_100 100000 0.0039039999999204156 0.0041300000000319415 0.003963999999996304 0.003989400000000387 difference_medium SortedSet_100 1000000 0.0466039999998884 0.04960699999992357 0.04692699999986871 0.047811199999932795 difference_medium SortedSet_100 10000000 0.9221660000000611 1.085407000000032 1.06369699999982 1.0156538000000181 difference_large SortedSet_100 100 1.4999999848441803e-05 1.7000000070765964e-05 1.5000000075815478e-05 1.5600000051563256e-05 difference_large SortedSet_100 1000 5.799999985356408e-05 6.899999993947858e-05 6.099999995967664e-05 6.159999998089916e-05 difference_large SortedSet_100 10000 0.00048000000015235855 0.0006160000000363652 0.00048300000003109744 0.0005094000000099186 difference_large SortedSet_100 100000 0.005031000000144559 0.005590000000211148 0.005090000000109285 0.005231800000092335 difference_large SortedSet_100 1000000 0.05664299999989453 0.06569800000011128 0.05671700000016244 0.05858680000005734 difference_large SortedSet_100 10000000 1.0198259999999664 1.223889999999983 1.0376320000000305 1.0957614000000375 difference_update_tiny SortedSet_100 100 2.3999999939405825e-05 2.3999999939405825e-05 2.3999999939405825e-05 2.3999999939405825e-05 difference_update_tiny SortedSet_100 1000 2.499999982319423e-05 3.700000002027082e-05 2.6999999818144715e-05 2.8199999951539213e-05 difference_update_tiny SortedSet_100 10000 2.6999999818144715e-05 3.999999989900971e-05 2.700000004551839e-05 2.9799999992974335e-05 difference_update_tiny SortedSet_100 100000 4.100000001017179e-05 4.4000000116284355e-05 4.1999999893960194e-05 4.220000000714208e-05 difference_update_tiny SortedSet_100 1000000 4.899999998997373e-05 5.29999999798747e-05 4.9999999873762135e-05 5.0199999986944024e-05 difference_update_tiny SortedSet_100 10000000 7.600000003549212e-05 8.000000002539309e-05 7.699999991928053e-05 7.74000000092201e-05 difference_update_small SortedSet_100 100 2.199999994445534e-05 2.3999999939405825e-05 2.199999994445534e-05 2.2599999965677853e-05 difference_update_small SortedSet_100 1000 0.00020300000005590846 0.00020500000005085894 0.00020399999993969686 0.00020400000003064633 difference_update_small SortedSet_100 10000 0.0019929999998566927 0.002012000000149783 0.00200700000004872 0.002003400000012334 difference_update_small SortedSet_100 100000 0.020291999999926702 0.0204510000000937 0.020428000000038082 0.02039599999998245 difference_update_small SortedSet_100 1000000 0.21271999999999025 0.22429299999998875 0.2142509999998765 0.21592279999999847 difference_update_small SortedSet_100 10000000 2.4758500000000367 2.5001949999998487 2.4817259999999806 2.4855933999999706 difference_update_medium SortedSet_100 100 1.1000000085914508e-05 1.3000000080864993e-05 1.1999999969702912e-05 1.2000000060652382e-05 difference_update_medium SortedSet_100 1000 5.0999999984924216e-05 5.100000021229789e-05 5.0999999984924216e-05 5.100000003039895e-05 difference_update_medium SortedSet_100 10000 0.0003959999999096908 0.0004320000000461732 0.0003979999999046413 0.0004043999999794323 difference_update_medium SortedSet_100 100000 0.004253999999946245 0.004523999999946682 0.004307999999809908 0.004366399999935311 difference_update_medium SortedSet_100 1000000 0.06664700000010271 0.08019000000012966 0.07444699999996374 0.07379240000000209 difference_update_medium SortedSet_100 10000000 0.8861699999999928 1.5880929999998443 0.9033269999999902 1.1519445999999334 difference_update_large SortedSet_100 100 1.1999999969702912e-05 1.3999999964653398e-05 1.2999999853491317e-05 1.2800000013157841e-05 difference_update_large SortedSet_100 1000 6.400000006578921e-05 6.700000017190177e-05 6.599999983336602e-05 6.540000003951718e-05 difference_update_large SortedSet_100 10000 0.0005619999999453285 0.0005970000001980225 0.0005639999999402789 0.00057040000001507 difference_update_large SortedSet_100 100000 0.007137999999940803 0.007333000000016909 0.00726899999995112 0.007251799999949071 difference_update_large SortedSet_100 1000000 0.09808300000008785 0.5319889999998395 0.11560799999983828 0.19403059999995093 difference_update_large SortedSet_100 10000000 1.3086769999999888 1.9742160000000695 1.8439400000002024 1.6798874000000523 intersection_tiny SortedSet_100 100 1.0999999858540832e-05 1.2999999853491317e-05 1.1999999969702912e-05 1.1999999924228177e-05 intersection_tiny SortedSet_100 1000 1.2999999853491317e-05 1.600000018697756e-05 1.3999999964653398e-05 1.4000000010128134e-05 intersection_tiny SortedSet_100 10000 1.5000000075815478e-05 1.7000000070765964e-05 1.5999999959603883e-05 1.600000000507862e-05 intersection_tiny SortedSet_100 100000 3.300000003036985e-05 3.500000002532033e-05 3.399999991415825e-05 3.3799999982875306e-05 intersection_tiny SortedSet_100 1000000 4.100000001017179e-05 4.6999999995023245e-05 4.500000000007276e-05 4.400000002533488e-05 intersection_tiny SortedSet_100 10000000 5.600000008598727e-05 5.800000008093775e-05 5.699999996977567e-05 5.7000000015250404e-05 intersection_small SortedSet_100 100 1.0999999858540832e-05 1.1999999969702912e-05 1.1000000085914508e-05 1.13999999484804e-05 intersection_small SortedSet_100 1000 2.199999994445534e-05 2.3999999939405825e-05 2.2999999828243745e-05 2.279999998791027e-05 intersection_small SortedSet_100 10000 8.100000013655517e-05 8.399999978792039e-05 8.200000002034358e-05 8.240000001933368e-05 intersection_small SortedSet_100 100000 0.0007610000000113359 0.0008040000000164582 0.0007679999998799758 0.000773799999979019 intersection_small SortedSet_100 1000000 0.007673999999951775 0.00807899999995243 0.007692000000133703 0.007794400000011592 intersection_small SortedSet_100 10000000 0.11902900000018235 0.12596999999982472 0.12132099999985257 0.12155119999993076 intersection_medium SortedSet_100 100 1.4999999848441803e-05 1.600000018697756e-05 1.5999999959603883e-05 1.560000000608852e-05 intersection_medium SortedSet_100 1000 4.899999998997373e-05 5.29999999798747e-05 5.0999999984924216e-05 5.07999999626918e-05 intersection_medium SortedSet_100 10000 0.00034899999991466757 0.0003859999999349384 0.000354999999899519 0.0003587999999126623 intersection_medium SortedSet_100 100000 0.0035989999998946587 0.004200000000082582 0.003717999999935273 0.0038008000000445464 intersection_medium SortedSet_100 1000000 0.049576999999999316 0.050362999999833846 0.04993999999987864 0.0499091999999564 intersection_medium SortedSet_100 10000000 0.7146419999999125 1.4629939999999806 0.8067949999999655 0.9070301999999628 intersection_large SortedSet_100 100 1.4999999848441803e-05 1.799999995455437e-05 1.600000018697756e-05 1.6400000004068715e-05 intersection_large SortedSet_100 1000 5.899999996472616e-05 6.800000005569018e-05 6.000000007588824e-05 6.220000000212167e-05 intersection_large SortedSet_100 10000 0.0004349999999249121 0.00044000000002597517 0.0004380000000310247 0.00043780000000879225 intersection_large SortedSet_100 100000 0.004470000000083019 0.004703000000063184 0.004494999999906213 0.004564400000026581 intersection_large SortedSet_100 1000000 0.05913600000008046 0.06107200000019475 0.05978799999979856 0.0598877999999786 intersection_large SortedSet_100 10000000 0.7748919999999089 0.9614900000001398 0.8822569999999814 0.8651480000000447 intersection_update_tiny SortedSet_100 100 6.999999868639861e-06 7.999999979801942e-06 7.999999979801942e-06 7.599999935337109e-06 intersection_update_tiny SortedSet_100 1000 1.2999999853491317e-05 1.9999999949504854e-05 1.5999999959603883e-05 1.600000000507862e-05 intersection_update_tiny SortedSet_100 10000 4.500000000007276e-05 4.899999998997373e-05 4.500000000007276e-05 4.6199999997043054e-05 intersection_update_tiny SortedSet_100 100000 0.0006499999999505235 0.0006550000000515865 0.000653000000056636 0.0006525999999666965 intersection_update_tiny SortedSet_100 1000000 0.007882000000108746 0.008090000000038344 0.00789400000007845 0.00794080000005124 intersection_update_tiny SortedSet_100 10000000 0.1281450000001314 0.13818700000001627 0.13215500000001157 0.1318840000000364 intersection_update_small SortedSet_100 100 7.999999979801942e-06 9.999999974752427e-06 9.000000090964022e-06 9.000000000014552e-06 intersection_update_small SortedSet_100 1000 1.8999999838342774e-05 2.300000005561742e-05 2.1000000060666935e-05 2.1000000060666935e-05 intersection_update_small SortedSet_100 10000 0.00010799999995469989 0.00013799999987895717 0.00010999999994965037 0.00011479999998300627 intersection_update_small SortedSet_100 100000 0.0013689999998405256 0.001400999999987107 0.001374999999825377 0.0013797999999042077 intersection_update_small SortedSet_100 1000000 0.0162319999999454 0.01826800000003459 0.016642999999930908 0.016915199999994003 intersection_update_small SortedSet_100 10000000 0.24578100000007908 0.25399700000025405 0.24853200000006836 0.248794000000089 intersection_update_medium SortedSet_100 100 8.999999863590347e-06 1.1000000085914508e-05 9.999999747378752e-06 9.999999929277691e-06 intersection_update_medium SortedSet_100 1000 4.4999999772699084e-05 4.600000011123484e-05 4.600000011123484e-05 4.559999997582054e-05 intersection_update_medium SortedSet_100 10000 0.0003560000000106811 0.0003780000001825101 0.0003739999997378618 0.00036860000000160653 intersection_update_medium SortedSet_100 100000 0.003940000000056898 0.004305999999814958 0.004120999999940977 0.004143799999928888 intersection_update_medium SortedSet_100 1000000 0.05934499999966647 0.47469200000023193 0.06232300000010582 0.14444860000003246 intersection_update_medium SortedSet_100 10000000 0.8169859999998152 1.3132970000001478 1.2350500000002285 1.095576600000004 intersection_update_large SortedSet_100 100 1.0999999631167157e-05 1.1999999969702912e-05 1.1000000085914508e-05 1.1199999971722718e-05 intersection_update_large SortedSet_100 1000 5.399999963628943e-05 5.600000031336094e-05 5.400000009103678e-05 5.4400000044552145e-05 intersection_update_large SortedSet_100 10000 0.00044899999966219184 0.0005160000000614673 0.00045100000033926335 0.00046380000012504754 intersection_update_large SortedSet_100 100000 0.005020999999942433 0.005542999999761378 0.005129000000124506 0.00521180000005188 intersection_update_large SortedSet_100 1000000 0.07012699999995675 0.0802969999999732 0.07302400000025955 0.07413940000005823 intersection_update_large SortedSet_100 10000000 0.8768279999999322 1.4763080000002446 0.8997229999999945 1.104789400000027 symmetric_difference_tiny SortedSet_100 100 1.4999999621068127e-05 1.700000029813964e-05 1.5999999959603883e-05 1.6199999936361565e-05 symmetric_difference_tiny SortedSet_100 1000 4.8999999762600055e-05 5.0999999984924216e-05 5.000000010113581e-05 5.000000001018634e-05 symmetric_difference_tiny SortedSet_100 10000 0.00041800000008151983 0.0004460000000108266 0.0004360000002634479 0.00043420000010883084 symmetric_difference_tiny SortedSet_100 100000 0.004985999999917112 0.005493000000114989 0.0051199999998061685 0.005210600000009435 symmetric_difference_tiny SortedSet_100 1000000 0.07344499999999243 0.08168300000033923 0.07378000000016982 0.07547620000013922 symmetric_difference_tiny SortedSet_100 10000000 1.1610729999997602 1.9299999999998363 1.1678019999999378 1.322496599999886 symmetric_difference_small SortedSet_100 100 1.5999999959603883e-05 1.7999999727180693e-05 1.699999984339229e-05 1.699999984339229e-05 symmetric_difference_small SortedSet_100 1000 5.899999996472616e-05 6.299999995462713e-05 6.100000018705032e-05 6.1000000005151375e-05 symmetric_difference_small SortedSet_100 10000 0.00042199999961667345 0.0005070000001978769 0.00042600000006132177 0.00044879999995828257 symmetric_difference_small SortedSet_100 100000 0.004981999999927211 0.005623999999897933 0.0050899999996545375 0.005223999999816442 symmetric_difference_small SortedSet_100 1000000 0.08388700000023164 0.09016599999995378 0.08410900000035326 0.08527300000005197 symmetric_difference_small SortedSet_100 10000000 1.0495489999998426 2.062419000000318 1.2098980000000665 1.3615042000000357 symmetric_difference_medium SortedSet_100 100 1.699999984339229e-05 1.900000006571645e-05 1.700000029813964e-05 1.7800000023271423e-05 symmetric_difference_medium SortedSet_100 1000 5.6999999742402e-05 5.899999996472616e-05 5.800000008093775e-05 5.8199999966745966e-05 symmetric_difference_medium SortedSet_100 10000 0.0005160000000614673 0.0005190000001675799 0.0005169999999452557 0.00051740000008067 symmetric_difference_medium SortedSet_100 100000 0.0054919999997764535 0.005680000000211294 0.005558999999720982 0.005570199999874603 symmetric_difference_medium SortedSet_100 1000000 0.06602100000009159 0.07377600000017992 0.06630600000016784 0.06899600000006104 symmetric_difference_medium SortedSet_100 10000000 1.0347170000000006 1.2089169999999285 1.0791880000001584 1.1073397999999544 symmetric_difference_large SortedSet_100 100 1.699999984339229e-05 1.8000000181928044e-05 1.700000029813964e-05 1.720000009299838e-05 symmetric_difference_large SortedSet_100 1000 9.099999988393392e-05 0.00010499999962121365 0.00010000000020227162 9.819999986575567e-05 symmetric_difference_large SortedSet_100 10000 0.0006659999999101274 0.0006789999997636187 0.0006749999997737177 0.0006727999998474843 symmetric_difference_large SortedSet_100 100000 0.007525999999870692 0.007661999999982072 0.007569999999759602 0.007573999999931402 symmetric_difference_large SortedSet_100 1000000 0.1327579999997397 0.1521139999999832 0.13560800000004747 0.13818439999995463 symmetric_difference_large SortedSet_100 10000000 1.7229389999997693 1.962858999999753 1.942094999999881 1.8945875999997952 symmetric_difference_update_tiny SortedSet_100 100 8.999999863590347e-06 1.1000000085914508e-05 9.000000318337698e-06 9.600000157661271e-06 symmetric_difference_update_tiny SortedSet_100 1000 3.300000025774352e-05 3.700000024764449e-05 3.500000002532033e-05 3.520000009302748e-05 symmetric_difference_update_tiny SortedSet_100 10000 0.00026800000023285975 0.0002740000004450849 0.00027000000000043656 0.00027060000011260856 symmetric_difference_update_tiny SortedSet_100 100000 0.0036479999998846324 0.003748000000086904 0.0036939999999958673 0.0036946000000170898 symmetric_difference_update_tiny SortedSet_100 1000000 0.048945999999887135 0.06196399999998903 0.05381600000009712 0.05466440000000148 symmetric_difference_update_tiny SortedSet_100 10000000 1.2860850000001847 2.0042200000002595 1.3261959999999817 1.4535672000000885 symmetric_difference_update_small SortedSet_100 100 8.999999863590347e-06 9.999999747378752e-06 9.000000318337698e-06 9.399999908055178e-06 symmetric_difference_update_small SortedSet_100 1000 3.799999967668555e-05 4.000000035375706e-05 3.90000000152213e-05 3.90000000152213e-05 symmetric_difference_update_small SortedSet_100 10000 0.00030900000001565786 0.0003229999997529376 0.000311000000237982 0.00031440000002476155 symmetric_difference_update_small SortedSet_100 100000 0.0039249999999810825 0.004255999999713822 0.004118000000289612 0.004105800000070303 symmetric_difference_update_small SortedSet_100 1000000 0.04855100000031598 0.06120999999984633 0.05638799999996991 0.05559280000006765 symmetric_difference_update_small SortedSet_100 10000000 1.2426510000000235 1.424764000000323 1.3066450000001169 1.3090520000000652 symmetric_difference_update_medium SortedSet_100 100 1.2999999853491317e-05 1.5999999959603883e-05 1.4999999621068127e-05 1.4599999849451705e-05 symmetric_difference_update_medium SortedSet_100 1000 4.999999964638846e-05 5.0999999984924216e-05 5.000000010113581e-05 5.0199999986944024e-05 symmetric_difference_update_medium SortedSet_100 10000 0.0003930000002583256 0.0005169999999452557 0.00039700000024822657 0.00042020000009870275 symmetric_difference_update_medium SortedSet_100 100000 0.004554000000098313 0.005773999999746593 0.004943999999795778 0.005070399999840447 symmetric_difference_update_medium SortedSet_100 1000000 0.0635109999998349 0.07084699999995792 0.06971599999997125 0.06772839999994176 symmetric_difference_update_medium SortedSet_100 10000000 0.8228910000002543 1.4833269999999175 0.8477549999997791 1.0680470000000242 symmetric_difference_update_large SortedSet_100 100 1.1999999969702912e-05 1.4000000192027073e-05 1.3000000308238668e-05 1.3000000126339729e-05 symmetric_difference_update_large SortedSet_100 1000 7.60000002628658e-05 8.100000013655517e-05 7.70000001466542e-05 7.80000000304426e-05 symmetric_difference_update_large SortedSet_100 10000 0.0006469999998444109 0.0006520000001728476 0.0006490000000667351 0.0006496000000879576 symmetric_difference_update_large SortedSet_100 100000 0.00881100000015067 0.00970099999995 0.009202000000186672 0.009276599999975588 symmetric_difference_update_large SortedSet_100 1000000 0.12344699999994191 0.5385780000001432 0.12595600000031482 0.20862700000006953 symmetric_difference_update_large SortedSet_100 10000000 1.4560999999998785 2.10579000000007 2.0820479999997588 1.9339043999998466 pop SortedSet_100 100 3.999999989900971e-06 7.000000096013537e-06 5.000000328436727e-06 5.400000009103678e-06 pop SortedSet_100 1000 1.8000000181928044e-05 1.900000006571645e-05 1.900000006571645e-05 1.8800000088958767e-05 pop SortedSet_100 10000 0.0001449999999749707 0.0001509999997324485 0.00014800000008108327 0.00014759999994566896 pop SortedSet_100 100000 0.001457999999729509 0.0015379999999822758 0.0014690000002701709 0.001481800000055955 pop SortedSet_100 1000000 0.01460899999983667 0.015478999999686494 0.014786000000185595 0.014892799999961426 pop SortedSet_100 10000000 0.14619300000003932 0.14958999999998923 0.14727300000004107 0.14791860000004817 init SortedSet_100 100 1.1999999969702912e-05 1.5000000075815478e-05 1.1999999969702912e-05 1.2799999967683107e-05 init SortedSet_100 1000 5.300000020724838e-05 7.80000000304426e-05 6.299999995462713e-05 6.279999997786945e-05 init SortedSet_100 10000 0.0005910000004405447 0.0006969999999455467 0.0006269999998949061 0.0006348000000798492 init SortedSet_100 100000 0.01036100000010265 0.010819000000083179 0.010522000000037224 0.010588800000004995 init SortedSet_100 1000000 0.1529289999998582 0.17397699999992255 0.1708490000000893 0.16726239999998144 init SortedSet_100 10000000 3.569940000000315 4.663806000000022 3.7611070000002655 3.9397558000001482 contains SortedSet_1000 100 2.000000000279556e-06 2.9999999995311555e-06 2.000000000279556e-06 2.399999999980196e-06 contains SortedSet_1000 1000 2.9999999995311555e-06 4.000000000559112e-06 3.999999998782755e-06 3.599999999792658e-06 contains SortedSet_1000 10000 1.8000000000739647e-05 1.8999999999991246e-05 1.8999999999991246e-05 1.8800000000140926e-05 contains SortedSet_1000 100000 0.00022899999999914655 0.00023999999999979593 0.00023200000000045407 0.00023279999999985533 contains SortedSet_1000 1000000 0.003159000000000134 0.00326300000000046 0.0032010000000006755 0.003211600000000203 contains SortedSet_1000 10000000 0.05045700000000153 0.05141100000000165 0.05122999999998967 0.05102600000000024 iter SortedSet_1000 100 1.100000000064938e-05 1.2999999995599865e-05 1.1999999998124622e-05 1.1799999998629574e-05 iter SortedSet_1000 1000 9.099999999762076e-05 9.400000000425734e-05 9.200000000930686e-05 9.239999999977044e-05 iter SortedSet_1000 10000 0.0009099999999904185 0.0009520000000122764 0.0009110000000021046 0.0009210000000024366 iter SortedSet_1000 100000 0.009167000000005032 0.009335999999990463 0.009220999999996593 0.009231399999995915 iter SortedSet_1000 1000000 0.0916560000000004 0.0924659999999875 0.09173100000001 0.09188000000000045 iter SortedSet_1000 10000000 0.9169989999999899 0.9352640000000036 0.924010999999993 0.9244775999999973 add SortedSet_1000 100 4.9999999873762135e-06 7.000000010748408e-06 5.999999984851456e-06 5.800000002409433e-06 add SortedSet_1000 1000 2.2999999998774e-05 2.6999999988674972e-05 2.600000001962144e-05 2.540000000408327e-05 add SortedSet_1000 10000 0.00021199999997634222 0.0002869999999859374 0.00023100000001363696 0.0002381999999954587 add SortedSet_1000 100000 0.0022840000000030614 0.0023519999999734864 0.0022930000000087603 0.0023091999999905965 add SortedSet_1000 1000000 0.023889999999994416 0.024528000000003658 0.024401000000011663 0.024333000000001447 add SortedSet_1000 10000000 0.27778699999998935 0.28406499999999824 0.2799360000000206 0.2807907999999998 update_tiny SortedSet_1000 100 1.6999999985500835e-05 2.0000000006348273e-05 1.8000000011397788e-05 1.8200000005208496e-05 update_tiny SortedSet_1000 1000 1.8000000011397788e-05 2.0000000006348273e-05 1.899999998045132e-05 1.8999999997504347e-05 update_tiny SortedSet_1000 10000 2.1000000003823516e-05 2.2999999998774e-05 2.199999997287705e-05 2.1799999996119367e-05 update_tiny SortedSet_1000 100000 3.1999999976051186e-05 3.399999999942338e-05 3.300000000194814e-05 3.2999999996263794e-05 update_tiny SortedSet_1000 1000000 4.200000000764703e-05 5.7999999995672624e-05 4.799999999249849e-05 4.8999999995658074e-05 update_tiny SortedSet_1000 10000000 5.300000000829641e-05 8.000000002539309e-05 5.499999997482519e-05 5.9599999991633014e-05 update_small SortedSet_1000 100 1.900000000887303e-05 2.0000000006348273e-05 1.900000000887303e-05 1.9400000007863126e-05 update_small SortedSet_1000 1000 0.0001519999999572974 0.00015500000000656655 0.0001540000000090913 0.00015339999999923747 update_small SortedSet_1000 10000 0.0015720000000101209 0.0017619999999851643 0.0015780000000518157 0.0016252000000122279 update_small SortedSet_1000 100000 0.015384999999980664 0.015521999999975833 0.015417000000013559 0.015436399999998685 update_small SortedSet_1000 1000000 0.19213799999999992 0.19368800000000874 0.1933580000000461 0.1930736000000138 update_small SortedSet_1000 10000000 2.02494999999999 2.047880999999961 2.0330940000000055 2.0342885999999796 update_medium SortedSet_1000 100 1.2000000026546331e-05 1.3000000024021574e-05 1.2000000026546331e-05 1.2400000025536429e-05 update_medium SortedSet_1000 1000 6.300000001147055e-05 8.700000000771979e-05 6.400000000894579e-05 6.839999999783686e-05 update_medium SortedSet_1000 10000 0.00048800000001847366 0.0006369999999833453 0.0004910000000108994 0.0005193999999960397 update_medium SortedSet_1000 100000 0.0055770000000165965 0.005871000000013282 0.005591000000038093 0.005676000000016756 update_medium SortedSet_1000 1000000 0.10683899999997948 0.10999200000003384 0.10794299999997747 0.10846119999999929 update_medium SortedSet_1000 10000000 1.2854199999999878 2.008961999999997 1.3008099999999558 1.4505275999999867 update_large SortedSet_1000 100 1.499999996212864e-05 1.7000000013922545e-05 1.6000000016447302e-05 1.600000000507862e-05 update_large SortedSet_1000 1000 8.199999996350016e-05 8.700000000771979e-05 8.29999999609754e-05 8.339999999407155e-05 update_large SortedSet_1000 10000 0.0007180000000062137 0.0007200000000011642 0.0007190000000036889 0.0007189999999923202 update_large SortedSet_1000 100000 0.010217000000011467 0.010234999999966021 0.010223999999993794 0.010225000000002638 update_large SortedSet_1000 1000000 0.15492799999998397 0.17364700000001676 0.1596689999999512 0.1625581999999895 update_large SortedSet_1000 10000000 1.9442090000000007 2.7283970000000295 1.9829620000000432 2.1889336000000186 union_tiny SortedSet_1000 100 2.3999999939405825e-05 2.599999993435631e-05 2.3999999939405825e-05 2.4599999960628338e-05 union_tiny SortedSet_1000 1000 6.899999993947858e-05 6.900000005316542e-05 6.900000005316542e-05 6.900000000769069e-05 union_tiny SortedSet_1000 10000 0.0005589999999529027 0.0006010000000742366 0.0005630000000564905 0.000573000000031243 union_tiny SortedSet_1000 100000 0.00573399999996127 0.005986000000007152 0.00587499999994634 0.005867199999966033 union_tiny SortedSet_1000 1000000 0.10222399999997833 0.12998000000004595 0.10352699999998549 0.10891820000001644 union_tiny SortedSet_1000 10000000 1.7997080000000096 1.8620970000000625 1.8340269999999919 1.8312876000000415 union_small SortedSet_1000 100 2.199999994445534e-05 2.3999999939405825e-05 2.300000005561742e-05 2.2999999987405318e-05 union_small SortedSet_1000 1000 7.400000004054164e-05 8.300000001781882e-05 8.000000002539309e-05 7.900000002791785e-05 union_small SortedSet_1000 10000 0.0005909999999857973 0.0006660000000238142 0.0005919999999832726 0.0006075999999893611 union_small SortedSet_1000 100000 0.00622000000009848 0.00675300000000334 0.006358000000091124 0.006421200000045246 union_small SortedSet_1000 1000000 0.1251830000001064 0.1402020000000448 0.12584800000001906 0.12863460000003216 union_small SortedSet_1000 10000000 1.7379700000000184 1.9950919999999996 1.9615210000000616 1.9283436000000165 union_medium SortedSet_1000 100 2.4999999936881068e-05 2.700000004551839e-05 2.5000000050567905e-05 2.5600000003578317e-05 union_medium SortedSet_1000 1000 0.00010800000006838673 0.00011000000006333721 0.00010900000006586197 0.0001090000000431246 union_medium SortedSet_1000 10000 0.000803000000018983 0.000979000000029373 0.000803000000018983 0.0008388000000195461 union_medium SortedSet_1000 100000 0.010244000000056985 0.010971000000040476 0.010358999999994012 0.010536999999999352 union_medium SortedSet_1000 1000000 0.19420800000000327 0.2058710000000019 0.19925999999998112 0.19973580000000765 union_medium SortedSet_1000 10000000 2.940327000000025 3.9090640000000576 2.9604910000000473 3.153504399999997 union_large SortedSet_1000 100 2.6999999931831553e-05 3.100000003541936e-05 2.700000004551839e-05 2.7999999997518898e-05 union_large SortedSet_1000 1000 0.0001330000000052678 0.00014799999996739643 0.00014199999998254498 0.00014099999998506973 union_large SortedSet_1000 10000 0.0010439999999789507 0.0011030000000573636 0.0010510000000749642 0.0010618000000249595 union_large SortedSet_1000 100000 0.01556099999993421 0.01637500000003911 0.0156769999999824 0.015782999999964888 union_large SortedSet_1000 1000000 0.2345550000000003 0.6225590000000238 0.23537099999998645 0.31263940000001184 union_large SortedSet_1000 10000000 3.4839050000000498 4.156960000000026 3.935247000000004 3.8969798000000084 remove SortedSet_1000 100 3.999999989900971e-06 6.999999982326699e-06 5.000000101063051e-06 5.400000009103678e-06 remove SortedSet_1000 1000 2.199999994445534e-05 2.4000000053092663e-05 2.3999999939405825e-05 2.3400000009132783e-05 remove SortedSet_1000 10000 0.00020600000004833419 0.00020799999992959783 0.00020700000004580943 0.00020700000000033468 remove SortedSet_1000 100000 0.002334000000018932 0.002372000000036678 0.0023479999999835854 0.002348800000004303 remove SortedSet_1000 1000000 0.029794000000038068 0.031619999999975335 0.030287999999927706 0.030495799999994234 remove SortedSet_1000 10000000 0.45148599999993166 0.4673819999999296 0.45769899999993413 0.4578339999999571 difference_tiny SortedSet_1000 100 1.5999999959603883e-05 1.6999999957079126e-05 1.600000007329072e-05 1.6200000004573667e-05 difference_tiny SortedSet_1000 1000 4.0000000012696546e-05 4.100000001017179e-05 4.0000000012696546e-05 4.040000001168664e-05 difference_tiny SortedSet_1000 10000 0.0003189999999904103 0.00032699999997021223 0.0003230000000939981 0.00032280000000355357 difference_tiny SortedSet_1000 100000 0.003163000000085958 0.0032800000000179352 0.0032549999999673673 0.0032248000000208777 difference_tiny SortedSet_1000 1000000 0.05849800000009964 0.07035599999994702 0.06031900000004953 0.06280860000001667 difference_tiny SortedSet_1000 10000000 1.0940560000000232 2.0656940000000077 1.2277520000000095 1.3492960000000038 difference_small SortedSet_1000 100 1.499999996212864e-05 1.600000007329072e-05 1.5999999959603883e-05 1.580000000558357e-05 difference_small SortedSet_1000 1000 4.200000000764703e-05 4.400000000259752e-05 4.200000000764703e-05 4.240000000663713e-05 difference_small SortedSet_1000 10000 0.00032799999996768747 0.00037599999996018596 0.00032999999996263796 0.0003391999999621476 difference_small SortedSet_1000 100000 0.003317000000038206 0.0034110000000282525 0.0033889999999701104 0.003374400000006972 difference_small SortedSet_1000 1000000 0.058176000000003114 0.4444730000000163 0.058797000000026856 0.1368454000000156 difference_small SortedSet_1000 10000000 1.0339340000000448 1.2108369999998558 1.1935739999998987 1.1674003999999514 difference_medium SortedSet_1000 100 1.3999999964653398e-05 1.5999999959603883e-05 1.5000000075815478e-05 1.4800000008108327e-05 difference_medium SortedSet_1000 1000 4.799999987881165e-05 5.2000000096086296e-05 5.199999986871262e-05 5.0999999939449483e-05 difference_medium SortedSet_1000 10000 0.00038700000004610047 0.0004069999999956053 0.00039199999991978984 0.0003933999999844673 difference_medium SortedSet_1000 100000 0.003930999999965934 0.004243000000087704 0.003965000000107466 0.004024000000026717 difference_medium SortedSet_1000 1000000 0.04684399999996458 0.04927399999996851 0.04705799999987903 0.047586799999953654 difference_medium SortedSet_1000 10000000 0.9231919999999718 1.7944119999999657 0.9676739999999882 1.1449195999999575 difference_large SortedSet_1000 100 1.3999999964653398e-05 1.5999999959603883e-05 1.5000000075815478e-05 1.4800000008108327e-05 difference_large SortedSet_1000 1000 5.699999996977567e-05 5.900000019209983e-05 5.899999996472616e-05 5.839999998897838e-05 difference_large SortedSet_1000 10000 0.00048300000003109744 0.00048500000002604793 0.00048300000003109744 0.00048360000005231996 difference_large SortedSet_1000 100000 0.00497599999994236 0.005036000000018248 0.005005000000210202 0.005007000000068729 difference_large SortedSet_1000 1000000 0.05674900000008165 0.06059400000003734 0.057467000000087864 0.05785240000004706 difference_large SortedSet_1000 10000000 1.0102939999999307 1.878056000000015 1.0651010000001406 1.2414602000000285 difference_update_tiny SortedSet_1000 100 2.300000005561742e-05 2.9000000040468876e-05 2.300000005561742e-05 2.4400000029345392e-05 difference_update_tiny SortedSet_1000 1000 2.499999982319423e-05 2.6000000161729986e-05 2.599999993435631e-05 2.5600000026315683e-05 difference_update_tiny SortedSet_1000 10000 2.599999993435631e-05 2.9000000040468876e-05 2.7999999929306796e-05 2.7600000021266168e-05 difference_update_tiny SortedSet_1000 100000 3.999999989900971e-05 4.399999988891068e-05 4.100000001017179e-05 4.179999996267725e-05 difference_update_tiny SortedSet_1000 1000000 4.9999999873762135e-05 5.29999999798747e-05 5.000000010113581e-05 5.120000000715663e-05 difference_update_tiny SortedSet_1000 10000000 6.100000018705032e-05 7.100000016180275e-05 6.299999995462713e-05 6.48000000637694e-05 difference_update_small SortedSet_1000 100 2.2999999828243745e-05 2.5000000050567905e-05 2.40000001667795e-05 2.399999998488056e-05 difference_update_small SortedSet_1000 1000 0.0001979999999548454 0.00022800000010647636 0.0001999999999497959 0.0002050000000053842 difference_update_small SortedSet_1000 10000 0.0020050000000537693 0.002246000000013737 0.00201599999991231 0.0020665999999891936 difference_update_small SortedSet_1000 100000 0.02126799999996365 0.021952999999939493 0.02145199999995384 0.02152119999996103 difference_update_small SortedSet_1000 1000000 0.22062499999992724 0.22282499999982974 0.22134400000004462 0.2216129999999339 difference_update_small SortedSet_1000 10000000 2.2888580000001184 2.2971370000000206 2.2940360000000055 2.293543800000043 difference_update_medium SortedSet_1000 100 9.999999974752427e-06 1.2000000197076588e-05 1.0999999858540832e-05 1.0999999994965038e-05 difference_update_medium SortedSet_1000 1000 4.899999998997373e-05 5.000000010113581e-05 4.899999998997373e-05 4.920000001220615e-05 difference_update_medium SortedSet_1000 10000 0.00037599999996018596 0.0004959999998845888 0.00037700000007134804 0.0004009999999652791 difference_update_medium SortedSet_1000 100000 0.004185999999890555 0.004470999999966807 0.004202000000077533 0.004258199999958379 difference_update_medium SortedSet_1000 1000000 0.05599800000004507 0.05954399999995985 0.056493999999929656 0.057035399999995205 difference_update_medium SortedSet_1000 10000000 0.7597250000001168 0.8606079999999565 0.8352429999999913 0.8136916000000383 difference_update_large SortedSet_1000 100 1.3999999964653398e-05 1.5000000075815478e-05 1.3999999964653398e-05 1.4399999963643495e-05 difference_update_large SortedSet_1000 1000 5.999999984851456e-05 6.200000007083872e-05 6.100000018705032e-05 6.1000000050626114e-05 difference_update_large SortedSet_1000 10000 0.0005409999998846615 0.0005759999999099819 0.0005430000001069857 0.0005524000000150409 difference_update_large SortedSet_1000 100000 0.006806000000096901 0.006986000000097192 0.006889000000001033 0.006888800000024275 difference_update_large SortedSet_1000 1000000 0.08425799999986339 0.08910600000012892 0.0849719999998797 0.08557080000000497 difference_update_large SortedSet_1000 10000000 1.1444739999999456 1.3207609999999477 1.1729740000000675 1.2170294000000013 intersection_tiny SortedSet_1000 100 1.1000000085914508e-05 1.3000000080864993e-05 1.1999999969702912e-05 1.1800000038419967e-05 intersection_tiny SortedSet_1000 1000 1.3000000080864993e-05 1.4000000192027073e-05 1.3999999964653398e-05 1.3800000033370452e-05 intersection_tiny SortedSet_1000 10000 1.4999999848441803e-05 1.5999999959603883e-05 1.5999999959603883e-05 1.5599999960613788e-05 intersection_tiny SortedSet_1000 100000 3.100000003541936e-05 3.500000002532033e-05 3.400000014153193e-05 3.380000002835004e-05 intersection_tiny SortedSet_1000 1000000 4.500000000007276e-05 4.5999999883861165e-05 4.500000000007276e-05 4.519999997683044e-05 intersection_tiny SortedSet_1000 10000000 5.699999996977567e-05 6.000000007588824e-05 5.700000019714935e-05 5.7800000058705335e-05 intersection_small SortedSet_1000 100 1.1000000085914508e-05 1.2999999853491317e-05 1.1999999969702912e-05 1.1999999969702912e-05 intersection_small SortedSet_1000 1000 2.300000005561742e-05 2.999999992425728e-05 2.89999998130952e-05 2.779999999802385e-05 intersection_small SortedSet_1000 10000 8.200000002034358e-05 8.300000013150566e-05 8.299999990413198e-05 8.259999999609136e-05 intersection_small SortedSet_1000 100000 0.0007699999998749263 0.000831999999945765 0.0007770000001983135 0.0007897999999840977 intersection_small SortedSet_1000 1000000 0.009340999999949418 0.009685999999874184 0.009422999999969761 0.009465399999953661 intersection_small SortedSet_1000 10000000 0.12269199999991542 0.12711399999989226 0.12316800000007788 0.12388380000002144 intersection_medium SortedSet_1000 100 1.3000000080864993e-05 1.799999995455437e-05 1.3999999964653398e-05 1.5200000007098424e-05 intersection_medium SortedSet_1000 1000 4.899999998997373e-05 6.999999982326699e-05 5.499999997482519e-05 5.719999999200809e-05 intersection_medium SortedSet_1000 10000 0.00035000000002582965 0.0003580000000056316 0.0003540000000157306 0.0003532000000177504 intersection_medium SortedSet_1000 100000 0.003912000000127591 0.003952999999910389 0.0039289999999709835 0.0039302000000134285 intersection_medium SortedSet_1000 1000000 0.05068699999992532 0.053140999999868654 0.0511429999999109 0.051566199999933816 intersection_medium SortedSet_1000 10000000 0.7353849999999511 0.8349430000000666 0.7706089999999222 0.7857059999999819 intersection_large SortedSet_1000 100 1.3999999964653398e-05 1.5000000075815478e-05 1.3999999964653398e-05 1.440000000911823e-05 intersection_large SortedSet_1000 1000 6.30000001820008e-05 6.60000000607397e-05 6.400000006578921e-05 6.440000006477931e-05 intersection_large SortedSet_1000 10000 0.00044300000013208773 0.0004919999998946878 0.0004480000000057771 0.0004609999999956926 intersection_large SortedSet_1000 100000 0.004638999999997395 0.005069999999932406 0.004930999999942287 0.0049185999999735944 intersection_large SortedSet_1000 1000000 0.060963000000128886 0.06690699999990102 0.06145800000012969 0.06250439999998889 intersection_large SortedSet_1000 10000000 0.7770120000000134 0.9317419999999856 0.8018020000001798 0.8413954000000103 intersection_update_tiny SortedSet_1000 100 6.999999868639861e-06 9.000000090964022e-06 7.999999979801942e-06 7.799999957569526e-06 intersection_update_tiny SortedSet_1000 1000 1.1000000085914508e-05 1.1999999969702912e-05 1.1999999969702912e-05 1.160000001618755e-05 intersection_update_tiny SortedSet_1000 10000 3.90000000152213e-05 4.0000000126383384e-05 3.999999989900971e-05 3.9600000036443816e-05 intersection_update_tiny SortedSet_1000 100000 0.0003600000000005821 0.00041100000021287997 0.0003780000001825101 0.00038540000005014006 intersection_update_tiny SortedSet_1000 1000000 0.0068979999998646235 0.008288999999876978 0.00768700000003264 0.007551399999965724 intersection_update_tiny SortedSet_1000 10000000 0.11160399999994297 0.12298499999997148 0.1144720000002053 0.11541160000001582 intersection_update_small SortedSet_1000 100 7.000000096013537e-06 3.90000000152213e-05 9.000000090964022e-06 1.780000006874616e-05 intersection_update_small SortedSet_1000 1000 1.900000006571645e-05 1.9999999949504854e-05 1.900000006571645e-05 1.9400000019231813e-05 intersection_update_small SortedSet_1000 10000 9.799999997994746e-05 0.00010099999985868635 9.999999997489795e-05 9.959999993043311e-05 intersection_update_small SortedSet_1000 100000 0.0010039999999662541 0.0010729999999057327 0.0010559999998349667 0.001048599999921862 intersection_update_small SortedSet_1000 1000000 0.014825000000200816 0.015969999999924767 0.015327000000070257 0.015304400000059105 intersection_update_small SortedSet_1000 10000000 0.21406100000012884 0.23824400000012247 0.22056599999996251 0.22341760000003888 intersection_update_medium SortedSet_1000 100 9.000000090964022e-06 1.0000000202126103e-05 9.999999974752427e-06 9.800000043469481e-06 intersection_update_medium SortedSet_1000 1000 4.3000000005122274e-05 4.399999988891068e-05 4.399999988891068e-05 4.3599999935395316e-05 intersection_update_medium SortedSet_1000 10000 0.00033699999994496466 0.00036300000010669464 0.00033800000005612674 0.0003430000000207656 intersection_update_medium SortedSet_1000 100000 0.0036290000000462896 0.003940999999940686 0.0037170000000514847 0.0037596000000121423 intersection_update_medium SortedSet_1000 1000000 0.05258400000002439 0.05604100000005019 0.05281599999989339 0.05388299999999617 intersection_update_medium SortedSet_1000 10000000 0.6901210000000901 0.747532000000092 0.6982270000000881 0.7140828000000511 intersection_update_large SortedSet_1000 100 9.000000090964022e-06 1.1999999969702912e-05 1.1000000085914508e-05 1.0600000041449676e-05 intersection_update_large SortedSet_1000 1000 5.0999999984924216e-05 6.299999995462713e-05 5.2000000096086296e-05 5.420000002231973e-05 intersection_update_large SortedSet_1000 10000 0.00041999999984909664 0.00044000000002597517 0.0004209999999602587 0.00042539999994914977 intersection_update_large SortedSet_1000 100000 0.004421999999976833 0.004725999999891428 0.004490999999916312 0.004514999999946668 intersection_update_large SortedSet_1000 1000000 0.06048499999997148 0.06314999999995052 0.06225500000005013 0.061839799999961545 intersection_update_large SortedSet_1000 10000000 0.7826880000000074 0.8392289999999321 0.8072899999999663 0.8109311999999591 symmetric_difference_tiny SortedSet_1000 100 1.5999999959603883e-05 1.900000006571645e-05 1.5999999959603883e-05 1.6800000003058814e-05 symmetric_difference_tiny SortedSet_1000 1000 4.8000000106185325e-05 5.499999997482519e-05 4.9999999873762135e-05 5.0400000009176435e-05 symmetric_difference_tiny SortedSet_1000 10000 0.0004200000000764703 0.0004460000000108266 0.00042899999994006066 0.0004306000000269705 symmetric_difference_tiny SortedSet_1000 100000 0.00462599999991653 0.004838999999947191 0.0046950000000833825 0.004735399999981382 symmetric_difference_tiny SortedSet_1000 1000000 0.07371899999998277 0.07698300000015479 0.07526099999995495 0.0751278000000184 symmetric_difference_tiny SortedSet_1000 10000000 1.1954839999998512 1.2361440000004222 1.2080320000000029 1.2116870000000746 symmetric_difference_small SortedSet_1000 100 1.5999999959603883e-05 1.9999999949504854e-05 1.7999999727180693e-05 1.75999998646148e-05 symmetric_difference_small SortedSet_1000 1000 5.999999984851456e-05 6.500000017695129e-05 6.200000007083872e-05 6.200000007083872e-05 symmetric_difference_small SortedSet_1000 10000 0.00041800000008151983 0.0004490000001169392 0.000420000000303844 0.0004268000001502514 symmetric_difference_small SortedSet_1000 100000 0.004840999999942142 0.005179000000225642 0.005078000000139582 0.0050158000000010364 symmetric_difference_small SortedSet_1000 1000000 0.08519499999965774 0.08725800000001982 0.08583600000019942 0.08597460000000864 symmetric_difference_small SortedSet_1000 10000000 1.2153370000000905 1.9761779999998907 1.25301300000001 1.3914862000000539 symmetric_difference_medium SortedSet_1000 100 1.699999984339229e-05 1.7999999727180693e-05 1.7999999727180693e-05 1.759999977366533e-05 symmetric_difference_medium SortedSet_1000 1000 5.800000008093775e-05 6.199999961609137e-05 5.800000008093775e-05 5.940000000919099e-05 symmetric_difference_medium SortedSet_1000 10000 0.0005139999998391431 0.0005190000001675799 0.0005159999996067199 0.0005159999999705178 symmetric_difference_medium SortedSet_1000 100000 0.005384000000049127 0.005526000000372733 0.005493999999998778 0.005473800000072515 symmetric_difference_medium SortedSet_1000 1000000 0.06823399999984758 0.0737040000003617 0.06939200000033452 0.07000020000014047 symmetric_difference_medium SortedSet_1000 10000000 1.036366000000271 1.1948809999998957 1.1179440000000795 1.1246992000000318 symmetric_difference_large SortedSet_1000 100 1.699999984339229e-05 1.8000000181928044e-05 1.700000029813964e-05 1.740000016070553e-05 symmetric_difference_large SortedSet_1000 1000 9.000000000014552e-05 0.00013199999966673204 9.199999976772233e-05 0.00010139999985767645 symmetric_difference_large SortedSet_1000 10000 0.000665000000026339 0.0006720000001223525 0.0006720000001223525 0.0006700000000819273 symmetric_difference_large SortedSet_1000 100000 0.007156000000122731 0.009016999999857944 0.007159000000228843 0.007616200000029494 symmetric_difference_large SortedSet_1000 1000000 0.1372559999999794 0.15052400000013222 0.13908900000024005 0.14114660000004733 symmetric_difference_large SortedSet_1000 10000000 1.9336840000000848 1.9864509999997608 1.9676019999997152 1.9664919999999255 symmetric_difference_update_tiny SortedSet_1000 100 9.999999747378752e-06 1.1000000085914508e-05 1.0000000202126103e-05 1.0399999973742525e-05 symmetric_difference_update_tiny SortedSet_1000 1000 2.9999999696883606e-05 3.100000003541936e-05 3.0000000151630957e-05 3.0200000037439167e-05 symmetric_difference_update_tiny SortedSet_1000 10000 0.00023499999997511622 0.0002389999999650172 0.00023599999985890463 0.00023639999999431894 symmetric_difference_update_tiny SortedSet_1000 100000 0.0023649999998269777 0.0024670000002515735 0.002369000000271626 0.0023970000001099835 symmetric_difference_update_tiny SortedSet_1000 1000000 0.036939000000074884 0.03847399999995105 0.038056000000324275 0.03775920000007318 symmetric_difference_update_tiny SortedSet_1000 10000000 0.5768920000000435 1.193051999999625 0.5996839999997974 0.7141043999998147 symmetric_difference_update_small SortedSet_1000 100 8.999999863590347e-06 1.1000000085914508e-05 1.0000000202126103e-05 1.0200000087934313e-05 symmetric_difference_update_small SortedSet_1000 1000 3.699999979289714e-05 3.80000001314329e-05 3.700000024764449e-05 3.7200000042503235e-05 symmetric_difference_update_small SortedSet_1000 10000 0.00026499999967199983 0.00028199999997013947 0.0002710000003389723 0.0002723999999943771 symmetric_difference_update_small SortedSet_1000 100000 0.002719000000070082 0.003026999999747204 0.0027219999997214472 0.002803799999946932 symmetric_difference_update_small SortedSet_1000 1000000 0.04272999999966487 0.04931799999985742 0.043207999999594904 0.04456919999984166 symmetric_difference_update_small SortedSet_1000 10000000 0.5878160000002026 0.6956800000002659 0.6153010000002723 0.6296918000000915 symmetric_difference_update_medium SortedSet_1000 100 9.999999747378752e-06 1.1999999969702912e-05 1.0000000202126103e-05 1.0600000041449676e-05 symmetric_difference_update_medium SortedSet_1000 1000 4.6999999995023245e-05 5.0999999984924216e-05 5.000000010113581e-05 4.920000001220615e-05 symmetric_difference_update_medium SortedSet_1000 10000 0.0003739999997378618 0.0004739999999401334 0.00037699999984397436 0.0003963999998632062 symmetric_difference_update_medium SortedSet_1000 100000 0.004372000000330445 0.004657999999835738 0.004398999999921216 0.004460399999970832 symmetric_difference_update_medium SortedSet_1000 1000000 0.05505899999980102 0.0562049999998635 0.05542100000002392 0.05550459999994928 symmetric_difference_update_medium SortedSet_1000 10000000 0.7188270000001467 1.29882600000019 0.7674229999997806 0.8695404000000962 symmetric_difference_update_large SortedSet_1000 100 1.2999999853491317e-05 1.4000000192027073e-05 1.2999999853491317e-05 1.3200000012147939e-05 symmetric_difference_update_large SortedSet_1000 1000 7.400000004054164e-05 8.099999968180782e-05 7.999999979801942e-05 7.88000000284228e-05 symmetric_difference_update_large SortedSet_1000 10000 0.0006149999999252032 0.0006669999997939158 0.0006210000001374283 0.0006317999998827872 symmetric_difference_update_large SortedSet_1000 100000 0.007664000000204396 0.00786100000004808 0.007684000000153901 0.007718600000043807 symmetric_difference_update_large SortedSet_1000 1000000 0.11269499999980326 0.11522000000013577 0.11406999999962864 0.1140293999998903 symmetric_difference_update_large SortedSet_1000 10000000 1.2975850000002538 1.4008590000003096 1.3303270000001248 1.349283000000105 pop SortedSet_1000 100 3.999999989900971e-06 4.999999873689376e-06 4.999999873689376e-06 4.599999920174014e-06 pop SortedSet_1000 1000 1.7999999727180693e-05 1.9999999949504854e-05 1.8000000181928044e-05 1.8600000021251618e-05 pop SortedSet_1000 10000 0.0001449999999749707 0.00015100000018719584 0.0001459999998587591 0.00014679999994768878 pop SortedSet_1000 100000 0.00143900000011854 0.0015450000000782893 0.0014489999998659187 0.0014766000001145585 pop SortedSet_1000 1000000 0.014768999999887455 0.015429000000040105 0.015001000000211206 0.015078999999968801 pop SortedSet_1000 10000000 0.1483080000002701 0.15380199999981414 0.14882699999998295 0.15019540000002962 init SortedSet_1000 100 1.1999999969702912e-05 1.5999999959603883e-05 1.3000000308238668e-05 1.360000005661277e-05 init SortedSet_1000 1000 5.0999999984924216e-05 6.200000007083872e-05 5.400000009103678e-05 5.500000006577466e-05 init SortedSet_1000 10000 0.0005619999997179548 0.0007339999997384439 0.0006079999998291896 0.0006165999999211636 init SortedSet_1000 100000 0.006863000000066677 0.007288999999673251 0.007087999999839667 0.007106599999860919 init SortedSet_1000 1000000 0.14061899999978777 0.527552999999898 0.14241100000026563 0.21896719999995184 init SortedSet_1000 10000000 2.915535000000091 3.0799090000000433 2.994673000000148 2.9933216000000358 contains SortedSet_10000 100 1.999999998503199e-06 2.9999999995311555e-06 2.000000000279556e-06 2.1999999997746046e-06 contains SortedSet_10000 1000 2.9999999995311555e-06 4.999999999810711e-06 3.0000000013075123e-06 3.6000000001479295e-06 contains SortedSet_10000 10000 1.799999999896329e-05 2.0000000001019203e-05 1.8999999999991246e-05 1.8999999999991246e-05 contains SortedSet_10000 100000 0.00023200000000045407 0.000256000000000256 0.00025399999999997647 0.0002500000000001279 contains SortedSet_10000 1000000 0.0031280000000002417 0.0037400000000005207 0.0034309999999990737 0.003434999999999988 contains SortedSet_10000 10000000 0.05155899999999747 0.05881099999999151 0.05559300000000178 0.05478079999999892 iter SortedSet_10000 100 1.0000000003174137e-05 1.2999999995599865e-05 1.100000000064938e-05 1.1200000000144427e-05 iter SortedSet_10000 1000 9.1999999995096e-05 9.30000000067821e-05 9.200000000930686e-05 9.220000000311756e-05 iter SortedSet_10000 10000 0.0009090000000071541 0.001022999999989338 0.0009119999999995798 0.0009427999999957138 iter SortedSet_10000 100000 0.009152999999997746 0.00950399999999263 0.009215999999995006 0.009268599999995786 iter SortedSet_10000 1000000 0.09147300000000769 0.09308699999999703 0.09179399999999305 0.09216179999999667 iter SortedSet_10000 10000000 0.9176700000000153 0.9287270000000092 0.9243150000000071 0.9235622000000063 add SortedSet_10000 100 3.999999989900971e-06 6.000000013273166e-06 5.000000015797923e-06 5.199999998239946e-06 add SortedSet_10000 1000 2.7999999986150215e-05 3.699999999184911e-05 3.000000000952241e-05 3.0999999995628966e-05 add SortedSet_10000 10000 0.0005349999999850752 0.0005900000000167438 0.0005360000000109721 0.0005468000000007578 add SortedSet_10000 100000 0.0055310000000190485 0.005591000000009672 0.005539000000027272 0.005546600000013768 add SortedSet_10000 1000000 0.06586599999999976 0.0669030000000248 0.06612200000000712 0.06621880000000716 add SortedSet_10000 10000000 0.5399690000000135 0.5470830000000149 0.5426080000000013 0.5431186000000026 update_tiny SortedSet_10000 100 1.6999999985500835e-05 1.900000000887303e-05 1.8000000011397788e-05 1.8199999999524152e-05 update_tiny SortedSet_10000 1000 1.9999999977926564e-05 2.1000000003823516e-05 2.0000000006348273e-05 2.020000000015898e-05 update_tiny SortedSet_10000 10000 2.0000000006348273e-05 2.199999997287705e-05 2.1000000003823516e-05 2.0999999998139172e-05 update_tiny SortedSet_10000 100000 3.300000000194814e-05 3.700000002027082e-05 3.399999999942338e-05 3.440000000409782e-05 update_tiny SortedSet_10000 1000000 3.9999999984274837e-05 4.200000000764703e-05 4.100000001017179e-05 4.09999999988031e-05 update_tiny SortedSet_10000 10000000 5.1000000041767635e-05 0.00010199999999827014 5.5000000031668606e-05 6.32000000109656e-05 update_small SortedSet_10000 100 2.3999999996249244e-05 2.599999999119973e-05 2.4999999993724487e-05 2.4999999993724487e-05 update_small SortedSet_10000 1000 0.00015200000001414082 0.0001560000000040418 0.0001540000000090913 0.00015420000000858635 update_small SortedSet_10000 10000 0.001564000000030319 0.001645999999993819 0.0015689999999608517 0.001583600000003571 update_small SortedSet_10000 100000 0.014803000000028987 0.015065999999990254 0.014988999999957286 0.014958799999999429 update_small SortedSet_10000 1000000 0.3463509999999701 0.34729700000002595 0.3467090000000326 0.34678940000001146 update_small SortedSet_10000 10000000 3.56885699999998 3.5923819999999864 3.5777550000000247 3.5788653999999953 update_medium SortedSet_10000 100 1.1000000029071089e-05 1.4000000021496817e-05 1.2000000026546331e-05 1.220000002604138e-05 update_medium SortedSet_10000 1000 6.400000000894579e-05 6.500000000642103e-05 6.400000000894579e-05 6.420000000844084e-05 update_medium SortedSet_10000 10000 0.0004890000000159489 0.0005209999999920001 0.0004920000000083746 0.0004974000000061096 update_medium SortedSet_10000 100000 0.0055040000000303735 0.005752999999970143 0.005593999999973676 0.005614599999989878 update_medium SortedSet_10000 1000000 0.08837600000003931 0.0966980000000035 0.08989700000000767 0.09095080000001872 update_medium SortedSet_10000 10000000 1.1117380000000026 1.1685759999999732 1.1280290000000264 1.138398399999994 update_large SortedSet_10000 100 1.5999999959603883e-05 1.8000000011397788e-05 1.6000000016447302e-05 1.6400000004068715e-05 update_large SortedSet_10000 1000 8.29999999609754e-05 8.899999994582686e-05 8.400000001529406e-05 8.499999999003193e-05 update_large SortedSet_10000 10000 0.0007410000000049877 0.0007780000000252585 0.0007429999999999382 0.0007518000000118263 update_large SortedSet_10000 100000 0.010431999999980235 0.011174000000039541 0.010487000000011903 0.010728400000004967 update_large SortedSet_10000 1000000 0.12784799999997176 0.14193199999999706 0.12871400000000222 0.13357099999999492 update_large SortedSet_10000 10000000 1.6458020000000033 1.717183000000034 1.6668249999999603 1.6753251999999974 union_tiny SortedSet_10000 100 2.200000000129876e-05 2.599999999119973e-05 2.2999999998774e-05 2.3599999997259148e-05 union_tiny SortedSet_10000 1000 6.400000000894579e-05 6.600000000389628e-05 6.500000000642103e-05 6.500000000642103e-05 union_tiny SortedSet_10000 10000 0.0005350000000134969 0.0005569999999579522 0.0005370000000084474 0.0005409999999983484 union_tiny SortedSet_10000 100000 0.005650000000002819 0.006065999999975702 0.005762000000004264 0.0058339999999930114 union_tiny SortedSet_10000 1000000 0.1139800000000264 0.1156029999999646 0.1149780000000078 0.11494220000000724 union_tiny SortedSet_10000 10000000 1.9518970000000309 2.787382999999977 2.035005999999953 2.1574031999999987 union_small SortedSet_10000 100 2.199999994445534e-05 2.3999999939405825e-05 2.2000000058142177e-05 2.259999998841522e-05 union_small SortedSet_10000 1000 7.100000004811591e-05 7.400000004054164e-05 7.299999992937956e-05 7.259999999860156e-05 union_small SortedSet_10000 10000 0.0005869999999958964 0.000619000000028791 0.0005929999999807478 0.000596399999994901 union_small SortedSet_10000 100000 0.006234999999946922 0.006399999999985084 0.006360999999969863 0.006333199999971839 union_small SortedSet_10000 1000000 0.13709700000003977 0.15333299999997507 0.13988399999993817 0.1421233999999913 union_small SortedSet_10000 10000000 1.870883000000049 3.0084170000000086 2.0985809999999674 2.2155456000000187 union_medium SortedSet_10000 100 2.3999999939405825e-05 2.6000000048043148e-05 2.5000000050567905e-05 2.4800000005598122e-05 union_medium SortedSet_10000 1000 0.00010699999995722465 0.00010999999994965037 0.00010799999995469989 0.0001081999999769323 union_medium SortedSet_10000 10000 0.0007989999999153952 0.0008040000000164582 0.0008010000000240325 0.0008014000000002852 union_medium SortedSet_10000 100000 0.010715000000004693 0.010820999999964442 0.010768999999982043 0.01076860000000579 union_medium SortedSet_10000 1000000 0.20481099999994967 0.25818100000003597 0.20731399999999667 0.21876320000001215 union_medium SortedSet_10000 10000000 2.67169100000001 4.101902999999993 3.113160999999991 3.2200078000000074 union_large SortedSet_10000 100 2.5000000050567905e-05 2.8000000042993634e-05 2.599999993435631e-05 2.620000000206346e-05 union_large SortedSet_10000 1000 0.00012900000001536682 0.00013200000000779255 0.00012900000001536682 0.00012980000001334703 union_large SortedSet_10000 10000 0.0010470000000850632 0.0010979999999563006 0.0010679999999183565 0.0010679999999865686 union_large SortedSet_10000 100000 0.015859999999975116 0.01669800000001942 0.01604900000006637 0.01611920000000282 union_large SortedSet_10000 1000000 0.2477880000000141 0.27439800000001924 0.2512060000000247 0.25874840000003585 union_large SortedSet_10000 10000000 4.0712630000000445 5.19996500000002 4.201906000000008 4.385471800000005 remove SortedSet_10000 100 3.999999989900971e-06 6.000000098538294e-06 5.999999984851456e-06 5.400000009103678e-06 remove SortedSet_10000 1000 2.3999999939405825e-05 2.5000000050567905e-05 2.4000000053092663e-05 2.4200000007112975e-05 remove SortedSet_10000 10000 0.00029200000005857873 0.00030400000002828165 0.000293000000056054 0.00029540000004999454 remove SortedSet_10000 100000 0.00342200000000048 0.0035200000000941145 0.003451000000040949 0.0034540000000106374 remove SortedSet_10000 1000000 0.04405199999996512 0.04444699999999102 0.04422399999998561 0.044258199999967475 remove SortedSet_10000 10000000 0.6430820000000494 0.6544649999999592 0.6500320000000102 0.6500798000000032 difference_tiny SortedSet_10000 100 1.2999999967178155e-05 1.6999999957079126e-05 1.499999996212864e-05 1.4999999984866009e-05 difference_tiny SortedSet_10000 1000 3.90000000152213e-05 4.100000001017179e-05 4.0000000012696546e-05 4.0199999989454224e-05 difference_tiny SortedSet_10000 10000 0.0003079999999044958 0.0003609999999980573 0.0003150000000005093 0.000321799999983341 difference_tiny SortedSet_10000 100000 0.003232999999909225 0.003573000000073989 0.0032690000000457076 0.0033255999999937556 difference_tiny SortedSet_10000 1000000 0.07125799999994342 0.07802800000001753 0.07491400000003523 0.0742484000000104 difference_tiny SortedSet_10000 10000000 1.2330769999999802 2.1557090000000017 1.3812219999999797 1.5101117999999816 difference_small SortedSet_10000 100 1.3999999964653398e-05 1.600000007329072e-05 1.5000000075815478e-05 1.5000000030340743e-05 difference_small SortedSet_10000 1000 4.0000000012696546e-05 6.199999995715189e-05 4.200000000764703e-05 4.579999999805295e-05 difference_small SortedSet_10000 10000 0.00032299999998031126 0.00041499999997540726 0.0003309999999601132 0.00034499999997024134 difference_small SortedSet_10000 100000 0.003359000000045853 0.0034490000000459986 0.003408000000035827 0.0034020000000055005 difference_small SortedSet_10000 1000000 0.06938000000002376 0.07094200000005912 0.07049699999993209 0.07025459999999839 difference_small SortedSet_10000 10000000 1.3518300000000636 2.161393999999973 1.3748190000000022 1.5365856000000122 difference_medium SortedSet_10000 100 1.2999999853491317e-05 1.5999999959603883e-05 1.3999999964653398e-05 1.3999999919178662e-05 difference_medium SortedSet_10000 1000 4.899999998997373e-05 4.9000000217347406e-05 4.899999998997373e-05 4.900000003544846e-05 difference_medium SortedSet_10000 10000 0.00038500000005115 0.0005039999998643907 0.00038999999992483936 0.00041359999995620455 difference_medium SortedSet_10000 100000 0.003936000000066997 0.004106000000092536 0.003989000000046872 0.004004200000099445 difference_medium SortedSet_10000 1000000 0.04659400000014102 0.047240999999985434 0.0467670000000453 0.046831600000041364 difference_medium SortedSet_10000 10000000 0.9236069999999472 1.2383829999998852 1.2208960000000388 1.1118777999999565 difference_large SortedSet_10000 100 1.3999999964653398e-05 1.7000000070765964e-05 1.4999999848441803e-05 1.5199999961623688e-05 difference_large SortedSet_10000 1000 5.800000008093775e-05 6.000000007588824e-05 5.800000008093775e-05 5.860000005668553e-05 difference_large SortedSet_10000 10000 0.0004789999998138228 0.0004890000000159489 0.00048300000003109744 0.0004825999999866326 difference_large SortedSet_10000 100000 0.0048529999999118445 0.004985000000033324 0.0049539999999979045 0.004926999999997861 difference_large SortedSet_10000 1000000 0.05676600000015242 0.06052999999997155 0.05711100000007718 0.05786580000003596 difference_large SortedSet_10000 10000000 1.0150569999998424 1.3413419999999405 1.3247549999998682 1.209710399999949 difference_update_tiny SortedSet_10000 100 2.3999999939405825e-05 2.5000000050567905e-05 2.3999999939405825e-05 2.439999993839592e-05 difference_update_tiny SortedSet_10000 1000 2.89999998130952e-05 3.0999999808045686e-05 2.9000000040468876e-05 2.9399999948509504e-05 difference_update_tiny SortedSet_10000 10000 3.599999990910874e-05 3.80000001314329e-05 3.700000002027082e-05 3.6999999974796086e-05 difference_update_tiny SortedSet_10000 100000 6.099999995967664e-05 6.499999994957761e-05 6.299999995462713e-05 6.259999995563703e-05 difference_update_tiny SortedSet_10000 1000000 7.000000005064066e-05 7.80000000304426e-05 7.500000015170372e-05 7.520000003751193e-05 difference_update_tiny SortedSet_10000 10000000 8.600000001024455e-05 0.00012300000003051537 9.000000000014552e-05 9.7200000027442e-05 difference_update_small SortedSet_10000 100 2.3999999939405825e-05 2.40000001667795e-05 2.40000001667795e-05 2.400000007583003e-05 difference_update_small SortedSet_10000 1000 0.0002110000000357104 0.00021599999990939978 0.00021300000003066089 0.00021299999998518614 difference_update_small SortedSet_10000 10000 0.002772999999933745 0.0028839999999945576 0.0028250000000298314 0.002825799999936862 difference_update_small SortedSet_10000 100000 0.029793999999810694 0.030148999999937587 0.02984399999991183 0.029917599999907906 difference_update_small SortedSet_10000 1000000 0.31006299999990006 0.3144279999999071 0.3127560000000358 0.31236479999997757 difference_update_small SortedSet_10000 10000000 3.1761629999998604 3.197454000000107 3.184545999999955 3.1874213999999936 difference_update_medium SortedSet_10000 100 1.3999999964653398e-05 1.5000000075815478e-05 1.3999999964653398e-05 1.4199999986885814e-05 difference_update_medium SortedSet_10000 1000 4.799999987881165e-05 5.0999999984924216e-05 4.899999998997373e-05 4.919999996673141e-05 difference_update_medium SortedSet_10000 10000 0.0003739999999652355 0.0003819999999450374 0.00037700000007134804 0.0003770000000258733 difference_update_medium SortedSet_10000 100000 0.004534999999805223 0.00489400000014939 0.004644000000098458 0.004677799999990384 difference_update_medium SortedSet_10000 1000000 0.05621700000006058 0.05755999999996675 0.056844999999839274 0.05689179999994849 difference_update_medium SortedSet_10000 10000000 0.6602620000001025 0.7224529999998595 0.664935000000014 0.6755533999999443 difference_update_large SortedSet_10000 100 1.0999999858540832e-05 1.3000000080864993e-05 1.1999999969702912e-05 1.2199999946460594e-05 difference_update_large SortedSet_10000 1000 6.000000007588824e-05 6.200000007083872e-05 6.099999995967664e-05 6.1000000005151375e-05 difference_update_large SortedSet_10000 10000 0.000546999999869513 0.0007379999999557185 0.0005830000000059954 0.0005998000000090542 difference_update_large SortedSet_10000 100000 0.006969000000026426 0.007323000000042157 0.006987999999864769 0.007058999999981097 difference_update_large SortedSet_10000 1000000 0.08489200000008168 0.08743100000015147 0.08635800000001836 0.08642500000000837 difference_update_large SortedSet_10000 10000000 1.0457840000001397 1.0891630000000987 1.0808959999999388 1.0700380000000222 intersection_tiny SortedSet_10000 100 1.0999999858540832e-05 1.2000000197076588e-05 1.1000000085914508e-05 1.140000003942987e-05 intersection_tiny SortedSet_10000 1000 1.3000000080864993e-05 1.799999995455437e-05 1.699999984339229e-05 1.57999999828462e-05 intersection_tiny SortedSet_10000 10000 1.4999999848441803e-05 1.5000000075815478e-05 1.4999999848441803e-05 1.4999999939391273e-05 intersection_tiny SortedSet_10000 100000 3.100000003541936e-05 3.599999990910874e-05 3.399999991415825e-05 3.360000000611763e-05 intersection_tiny SortedSet_10000 1000000 3.90000000152213e-05 4.6999999995023245e-05 4.500000000007276e-05 4.420000000209257e-05 intersection_tiny SortedSet_10000 10000000 5.400000009103678e-05 5.899999996472616e-05 5.800000008093775e-05 5.740000001424051e-05 intersection_small SortedSet_10000 100 1.0999999858540832e-05 1.3000000080864993e-05 1.1999999969702912e-05 1.2199999991935328e-05 intersection_small SortedSet_10000 1000 2.099999983329326e-05 2.199999994445534e-05 2.199999994445534e-05 2.1599999899990508e-05 intersection_small SortedSet_10000 10000 8.09999999091815e-05 8.499999989908247e-05 8.299999990413198e-05 8.279999997284904e-05 intersection_small SortedSet_10000 100000 0.0007549999997991108 0.0007860000000619038 0.0007630000000062864 0.0007661999999982072 intersection_small SortedSet_10000 1000000 0.00955100000010134 0.010111999999935506 0.009658999999828666 0.00971319999998741 intersection_small SortedSet_10000 10000000 0.1376839999998083 0.295470000000023 0.1393190000001141 0.17151960000001054 intersection_medium SortedSet_10000 100 1.3000000080864993e-05 1.4999999848441803e-05 1.3999999964653398e-05 1.3800000033370452e-05 intersection_medium SortedSet_10000 1000 4.899999998997373e-05 5.000000010113581e-05 4.899999998997373e-05 4.9399999988963826e-05 intersection_medium SortedSet_10000 10000 0.00034800000003087916 0.0003540000000157306 0.00035000000002582965 0.00035080000002380985 intersection_medium SortedSet_10000 100000 0.004092000000127882 0.004166999999824839 0.004102999999986423 0.004114999999956126 intersection_medium SortedSet_10000 1000000 0.05319099999996979 0.05738600000017868 0.05349100000012186 0.05429940000003626 intersection_medium SortedSet_10000 10000000 0.7100299999999606 0.9916269999998804 0.9614719999999579 0.8702823999999965 intersection_large SortedSet_10000 100 1.3999999964653398e-05 1.5999999959603883e-05 1.5000000075815478e-05 1.4999999984866009e-05 intersection_large SortedSet_10000 1000 5.699999996977567e-05 5.900000019209983e-05 5.800000008093775e-05 5.82000000122207e-05 intersection_large SortedSet_10000 10000 0.0004350000001522858 0.00045999999997548 0.0004389999999148131 0.00044240000001991573 intersection_large SortedSet_10000 100000 0.004990000000134387 0.005225999999993292 0.0050369999999020365 0.005072999999993044 intersection_large SortedSet_10000 1000000 0.06056499999999687 0.06179100000008475 0.06119599999988168 0.06110020000000986 intersection_large SortedSet_10000 10000000 0.7882110000000466 1.06641999999988 1.0505570000000262 0.9580608000000211 intersection_update_tiny SortedSet_10000 100 7.999999979801942e-06 9.999999974752427e-06 9.000000090964022e-06 9.000000045489286e-06 intersection_update_tiny SortedSet_10000 1000 1.3000000080864993e-05 1.5000000075815478e-05 1.3000000080864993e-05 1.360000005661277e-05 intersection_update_tiny SortedSet_10000 10000 3.80000001314329e-05 4.1999999893960194e-05 3.90000000152213e-05 3.94000000142114e-05 intersection_update_tiny SortedSet_10000 100000 0.0003420000000460277 0.0003570000001218432 0.0003440000000409782 0.0003460000000814034 intersection_update_tiny SortedSet_10000 1000000 0.006757999999990716 0.00743600000009792 0.006902999999965687 0.007074599999987186 intersection_update_tiny SortedSet_10000 10000000 0.11171600000011495 0.11499699999990298 0.11299699999995028 0.11315059999997175 intersection_update_small SortedSet_10000 100 7.999999979801942e-06 9.000000090964022e-06 8.999999863590347e-06 8.600000001024455e-06 intersection_update_small SortedSet_10000 1000 2.099999983329326e-05 2.3999999939405825e-05 2.2000000171829015e-05 2.239999998892017e-05 intersection_update_small SortedSet_10000 10000 9.899999986373587e-05 0.00011700000004566391 0.00010300000008101051 0.00010460000003149616 intersection_update_small SortedSet_10000 100000 0.0010270000000218715 0.0011150000000270666 0.001050000000077489 0.0010584000000108062 intersection_update_small SortedSet_10000 1000000 0.015082000000120388 0.01565600000003542 0.015460000000075524 0.01539520000005723 intersection_update_small SortedSet_10000 10000000 0.20878099999981714 0.23241999999982 0.20990699999993012 0.21461639999993168 intersection_update_medium SortedSet_10000 100 9.999999974752427e-06 1.3000000080864993e-05 1.1000000085914508e-05 1.1200000017197453e-05 intersection_update_medium SortedSet_10000 1000 4.3000000005122274e-05 5.2000000096086296e-05 4.4000000116284355e-05 4.5400000044537594e-05 intersection_update_medium SortedSet_10000 10000 0.00033699999994496466 0.00044400000001587614 0.0003440000000409782 0.0003635999999460182 intersection_update_medium SortedSet_10000 100000 0.00415900000007241 0.004363999999895896 0.00422500000013315 0.004234000000042215 intersection_update_medium SortedSet_10000 1000000 0.051632999999810636 0.05337399999984882 0.051893000000063694 0.05214839999989636 intersection_update_medium SortedSet_10000 10000000 0.6396010000000842 0.6909319999999752 0.6496709999998984 0.65995640000001 intersection_update_large SortedSet_10000 100 8.999999863590347e-06 1.1000000085914508e-05 9.999999974752427e-06 9.999999974752427e-06 intersection_update_large SortedSet_10000 1000 5.0999999984924216e-05 5.400000009103678e-05 5.29999999798747e-05 5.240000004960166e-05 intersection_update_large SortedSet_10000 10000 0.00041999999984909664 0.0005529999998543644 0.0004220000000714208 0.00044799999996030236 intersection_update_large SortedSet_10000 100000 0.004903999999896769 0.005241000000069107 0.00497799999993731 0.005034800000021278 intersection_update_large SortedSet_10000 1000000 0.062376000000085696 0.0663560000000416 0.06288900000004105 0.06411259999999856 intersection_update_large SortedSet_10000 10000000 0.7225980000000618 0.745967999999948 0.7270809999999983 0.7325122000000193 symmetric_difference_tiny SortedSet_10000 100 1.4999999848441803e-05 1.799999995455437e-05 1.5999999959603883e-05 1.639999995859398e-05 symmetric_difference_tiny SortedSet_10000 1000 4.799999987881165e-05 4.9000000217347406e-05 4.899999998997373e-05 4.8599999990983635e-05 symmetric_difference_tiny SortedSet_10000 10000 0.0004200000000764703 0.0005530000000817381 0.0004349999999249121 0.00045580000000882136 symmetric_difference_tiny SortedSet_10000 100000 0.0046950000000833825 0.005298000000038883 0.004818999999997686 0.004881999999997788 symmetric_difference_tiny SortedSet_10000 1000000 0.08509400000002643 0.09521699999982047 0.08624900000017988 0.08901900000000751 symmetric_difference_tiny SortedSet_10000 10000000 1.2370719999998983 1.4821059999999306 1.3492499999999836 1.3615687999999408 symmetric_difference_small SortedSet_10000 100 1.5999999959603883e-05 1.900000006571645e-05 1.699999984339229e-05 1.7199999911099438e-05 symmetric_difference_small SortedSet_10000 1000 6.100000018705032e-05 7.70000001466542e-05 7.300000015675323e-05 6.960000009712531e-05 symmetric_difference_small SortedSet_10000 10000 0.0004349999999249121 0.0004619999999704305 0.00044299999990471406 0.0004443999999239168 symmetric_difference_small SortedSet_10000 100000 0.00486799999998766 0.005590999999640189 0.0051419999999779975 0.005148000000008324 symmetric_difference_small SortedSet_10000 1000000 0.09847900000022491 0.1033900000002177 0.09976899999992384 0.10016100000011648 symmetric_difference_small SortedSet_10000 10000000 1.3993149999996604 1.4530819999999949 1.435563000000002 1.4315849999998136 symmetric_difference_medium SortedSet_10000 100 1.3999999737279722e-05 1.700000029813964e-05 1.5000000075815478e-05 1.540000002933084e-05 symmetric_difference_medium SortedSet_10000 1000 5.79999996261904e-05 5.999999984851456e-05 5.800000008093775e-05 5.879999989701901e-05 symmetric_difference_medium SortedSet_10000 10000 0.0005129999999553547 0.0005180000002837915 0.0005139999998391431 0.0005149999999957799 symmetric_difference_medium SortedSet_10000 100000 0.0053699999998571 0.005525000000034197 0.0054129999998622225 0.005426399999942077 symmetric_difference_medium SortedSet_10000 1000000 0.06832500000018626 0.07054799999968964 0.06971999999996115 0.06956860000000234 symmetric_difference_medium SortedSet_10000 10000000 1.0657969999997476 1.4635690000000068 1.3069760000003043 1.2606179999999767 symmetric_difference_large SortedSet_10000 100 1.699999984339229e-05 1.8000000181928044e-05 1.700000029813964e-05 1.720000009299838e-05 symmetric_difference_large SortedSet_10000 1000 9.099999988393392e-05 9.300000010625808e-05 9.200000022246968e-05 9.220000001732842e-05 symmetric_difference_large SortedSet_10000 10000 0.0006889999999657448 0.0007430000000567816 0.0007040000000415603 0.0007079999999405117 symmetric_difference_large SortedSet_10000 100000 0.007986999999957334 0.008139999999912106 0.008031000000300992 0.0080524000000878 symmetric_difference_large SortedSet_10000 1000000 0.15056899999990492 0.1540460000001076 0.15233999999963999 0.15251839999991718 symmetric_difference_large SortedSet_10000 10000000 2.0753669999999147 2.180981999999858 2.12284499999987 2.134760599999936 symmetric_difference_update_tiny SortedSet_10000 100 9.000000318337698e-06 1.1000000085914508e-05 9.999999747378752e-06 1.0000000020227163e-05 symmetric_difference_update_tiny SortedSet_10000 1000 3.0000000151630957e-05 3.299999980299617e-05 3.099999958067201e-05 3.099999994446989e-05 symmetric_difference_update_tiny SortedSet_10000 10000 0.00023199999986900366 0.00025700000014694524 0.00023599999985890463 0.000238800000079209 symmetric_difference_update_tiny SortedSet_10000 100000 0.0023290000003726163 0.002411999999822001 0.002336999999897671 0.002350199999909819 symmetric_difference_update_tiny SortedSet_10000 1000000 0.029231000000436325 0.029561000000285276 0.02947199999971417 0.029437200000120355 symmetric_difference_update_tiny SortedSet_10000 10000000 0.4691330000000562 0.47706300000027113 0.47389899999961926 0.47310279999992416 symmetric_difference_update_small SortedSet_10000 100 8.999999863590347e-06 1.1000000085914508e-05 1.0000000202126103e-05 9.800000134418951e-06 symmetric_difference_update_small SortedSet_10000 1000 3.400000014153193e-05 3.90000000152213e-05 3.599999990910874e-05 3.600000009100768e-05 symmetric_difference_update_small SortedSet_10000 10000 0.000262999999904423 0.000266999999894324 0.000262999999904423 0.0002637999999024032 symmetric_difference_update_small SortedSet_10000 100000 0.0026850000003832974 0.002828000000135944 0.002699000000120577 0.0027300000001559965 symmetric_difference_update_small SortedSet_10000 1000000 0.033456999999998516 0.033861000000342756 0.03364400000009482 0.033658400000058465 symmetric_difference_update_small SortedSet_10000 10000000 0.5179109999999127 0.5477989999999409 0.5221000000001368 0.5266350000000785 symmetric_difference_update_medium SortedSet_10000 100 1.0000000202126103e-05 1.1000000085914508e-05 1.1000000085914508e-05 1.0800000018207356e-05 symmetric_difference_update_medium SortedSet_10000 1000 4.6999999995023245e-05 4.799999987881165e-05 4.6999999995023245e-05 4.739999994853861e-05 symmetric_difference_update_medium SortedSet_10000 10000 0.00037500000007639755 0.00041800000008151983 0.0003790000000662985 0.00038580000000365544 symmetric_difference_update_medium SortedSet_10000 100000 0.004480000000057771 0.004797000000053231 0.004485999999815249 0.004583800000000337 symmetric_difference_update_medium SortedSet_10000 1000000 0.05515399999967485 0.05599500000016633 0.05575299999964045 0.05560219999988476 symmetric_difference_update_medium SortedSet_10000 10000000 0.649159999999938 0.6757210000000669 0.6537469999998393 0.657987199999934 symmetric_difference_update_large SortedSet_10000 100 1.699999984339229e-05 1.700000029813964e-05 1.699999984339229e-05 1.699999993434176e-05 symmetric_difference_update_large SortedSet_10000 1000 7.300000015675323e-05 8.200000002034358e-05 7.699999969190685e-05 7.700000005570474e-05 symmetric_difference_update_large SortedSet_10000 10000 0.0006149999999252032 0.0006840000000920554 0.0006499999999505235 0.0006457999998929154 symmetric_difference_update_large SortedSet_10000 100000 0.007454999999936263 0.007769999999709398 0.007548999999926309 0.007579399999849556 symmetric_difference_update_large SortedSet_10000 1000000 0.10412800000040079 0.10511900000028618 0.10443600000007791 0.10454620000018622 symmetric_difference_update_large SortedSet_10000 10000000 1.235182999999779 1.3508339999998498 1.2380600000001323 1.269192000000021 pop SortedSet_10000 100 4.999999873689376e-06 7.000000096013537e-06 6.000000212225132e-06 6.200000098033343e-06 pop SortedSet_10000 1000 1.900000006571645e-05 2.500000027794158e-05 2.1999999717081664e-05 2.1800000013172394e-05 pop SortedSet_10000 10000 0.00014800000008108327 0.00017699999989417847 0.00014800000008108327 0.0001548000000184402 pop SortedSet_10000 100000 0.0014550000000781438 0.0016510000000380387 0.0014670000000478467 0.0015049999999973806 pop SortedSet_10000 1000000 0.014614000000165106 0.014830999999958294 0.014709000000038941 0.014711000000079365 pop SortedSet_10000 10000000 0.15108799999961775 0.15499099999988175 0.15237400000023626 0.15259539999997287 init SortedSet_10000 100 1.0999999631167157e-05 1.3999999737279722e-05 1.2999999853491317e-05 1.2599999899975956e-05 init SortedSet_10000 1000 4.9000000217347406e-05 5.2999999752501026e-05 5.000000010113581e-05 5.0799999917217066e-05 init SortedSet_10000 10000 0.000559999999950378 0.0005639999999402789 0.0005620000001727021 0.0005621999999675609 init SortedSet_10000 100000 0.006786999999803811 0.007111999999779073 0.006914000000051601 0.00692399999988993 init SortedSet_10000 1000000 0.11836499999981243 0.1525379999998222 0.11924899999985428 0.12856959999990067 init SortedSet_10000 10000000 2.6295399999999063 3.044261000000006 2.6397969999998168 2.7221059999998944 python-sortedcontainers-2.1.0/tests/results_runtime_sorteddict.txt000066400000000000000000000234461337542712000260270ustar00rootroot00000000000000contains SortedDict_Py36 100 9.999999992515995e-07 2.9999999995311555e-06 2.000000000279556e-06 2.1999999997746046e-06 contains SortedDict_Py36 1000 1.999999998503199e-06 7.000000000090267e-06 3.999999998782755e-06 3.999999999848569e-06 contains SortedDict_Py36 10000 1.1999999999900979e-05 1.4000000000180535e-05 1.4000000000180535e-05 1.3400000000274304e-05 contains SortedDict_Py36 100000 0.00024400000000035504 0.0002550000000010044 0.00024999999999941735 0.00024899999999981046 contains SortedDict_Py36 1000000 0.004464000000000468 0.004535000000000622 0.004531000000000063 0.004510599999999698 getitem SortedDict_Py36 100 9.999999992515995e-07 2.9999999995311555e-06 2.000000000279556e-06 2.1999999997746046e-06 getitem SortedDict_Py36 1000 3.0000000013075123e-06 7.000000000090267e-06 4.000000000559112e-06 4.400000000259751e-06 getitem SortedDict_Py36 10000 1.699999999971169e-05 1.8000000000739647e-05 1.799999999896329e-05 1.7599999999973194e-05 getitem SortedDict_Py36 100000 0.00029199999999995896 0.00035100000000021225 0.00030800000000041905 0.0003136000000004913 getitem SortedDict_Py36 1000000 0.004839999999999733 0.005180999999998548 0.005039000000000016 0.0049899999999997394 setitem SortedDict_Py36 100 2.9999999995311555e-06 4.999999999810711e-06 3.0000000013075123e-06 3.8000000003535207e-06 setitem SortedDict_Py36 1000 1.8999999999991246e-05 2.0000000001019203e-05 2.0000000001019203e-05 1.980000000045834e-05 setitem SortedDict_Py36 10000 0.00016899999999964166 0.00018199999999879424 0.00017099999999992122 0.00017439999999950827 setitem SortedDict_Py36 100000 0.0018310000000010263 0.0019559999999998468 0.0018560000000000798 0.0018852000000002533 setitem SortedDict_Py36 1000000 0.021537999999999613 0.02164400000000022 0.021594000000000335 0.0215957999999997 setitem_existing SortedDict_Py36 100 1.999999998503199e-06 2.9999999995311555e-06 2.000000000279556e-06 2.1999999997746046e-06 setitem_existing SortedDict_Py36 1000 5.999999999062311e-06 7.000000000090267e-06 7.000000000090267e-06 6.799999999884676e-06 setitem_existing SortedDict_Py36 10000 4.2000000000541604e-05 4.400000000082116e-05 4.2999999999793204e-05 4.3200000000354066e-05 setitem_existing SortedDict_Py36 100000 0.0005500000000004945 0.0005889999999997286 0.0005559999999995568 0.000561400000000134 setitem_existing SortedDict_Py36 1000000 0.007512999999999437 0.007789999999999964 0.007644000000000872 0.007649599999999879 delitem SortedDict_Py36 100 4.9999999980343546e-06 9.999999999621423e-06 5.999999999062311e-06 6.400000000184036e-06 delitem SortedDict_Py36 1000 2.1999999997746045e-05 2.3999999999801958e-05 2.200000000129876e-05 2.2599999999783905e-05 delitem SortedDict_Py36 10000 0.0002080000000006521 0.00023200000000045407 0.0002099999999991553 0.00021380000000021938 delitem SortedDict_Py36 100000 0.002481000000003064 0.0026849999999996044 0.0025690000000011537 0.0025802000000005876 delitem SortedDict_Py36 1000000 0.03506000000000142 0.037675000000000125 0.035308999999998036 0.03593239999999938 iter SortedDict_Py36 100 1.100000000064938e-05 1.2000000001677336e-05 1.1999999998124622e-05 1.1800000000050658e-05 iter SortedDict_Py36 1000 9.400000000070463e-05 0.00010199999999827014 9.999999999976694e-05 9.859999999974888e-05 iter SortedDict_Py36 10000 0.0009079999999990207 0.001018999999999437 0.0009100000000010766 0.0009522000000004027 iter SortedDict_Py36 100000 0.009137000000002615 0.00927199999999928 0.009240999999999389 0.009227200000000834 iter SortedDict_Py36 1000000 0.09188800000000086 0.09576599999999758 0.09300899999999857 0.09328799999999973 init SortedDict_Py36 100 2.8999999997836312e-05 3.2999999998395424e-05 3.199999999736747e-05 3.139999999888232e-05 init SortedDict_Py36 1000 0.0002879999999976235 0.00029100000000070736 0.0002899999999996794 0.00028979999999876325 init SortedDict_Py36 10000 0.003515999999997632 0.003944999999998089 0.003623000000001042 0.003666799999999881 init SortedDict_Py36 100000 0.047977000000003045 0.07303900000000141 0.04953199999999924 0.054270800000000466 init SortedDict_Py36 1000000 0.8621279999999985 0.8992910000000016 0.8828409999999991 0.8804025999999994 contains SortedDict_Py27 100 1.9999999985e-06 5.99999999906e-06 2.00000000028e-06 2.99999999953e-06 contains SortedDict_Py27 1000 3.99999999878e-06 4.00000000056e-06 4.00000000056e-06 3.99999999985e-06 contains SortedDict_Py27 10000 1.99999999992e-05 2.29999999988e-05 2.10000000003e-05 2.13999999996e-05 contains SortedDict_Py27 100000 0.000340999999999 0.000440000000001 0.000427 0.0003988 contains SortedDict_Py27 1000000 0.004256 0.004569 0.004336 0.0043648 getitem SortedDict_Py27 100 2.00000000028e-06 5.00000000159e-06 2.99999999953e-06 3.20000000045e-06 getitem SortedDict_Py27 1000 4.00000000056e-06 4.99999999981e-06 4.99999999981e-06 4.79999999996e-06 getitem SortedDict_Py27 10000 2.49999999991e-05 2.90000000014e-05 2.60000000001e-05 2.64000000005e-05 getitem SortedDict_Py27 100000 0.000379000000001 0.000435999999999 0.000411 0.0004104 getitem SortedDict_Py27 1000000 0.004852 0.005294 0.004933 0.0050198 setitem SortedDict_Py27 100 4.00000000056e-06 4.99999999981e-06 4.99999999981e-06 4.79999999996e-06 setitem SortedDict_Py27 1000 2.60000000001e-05 2.79999999986e-05 2.69999999993e-05 2.69999999993e-05 setitem SortedDict_Py27 10000 0.000251 0.000258000000001 0.000252 0.0002538 setitem SortedDict_Py27 100000 0.002612 0.003072 0.002778 0.0028076 setitem SortedDict_Py27 1000000 0.029978 0.030284 0.030136 0.0301412 setitem_existing SortedDict_Py27 100 2.99999999953e-06 4.00000000056e-06 4.00000000056e-06 3.6000000005e-06 setitem_existing SortedDict_Py27 1000 9.00000000037e-06 9.99999999962e-06 9.00000000037e-06 9.20000000022e-06 setitem_existing SortedDict_Py27 10000 6.40000000001e-05 6.60000000003e-05 6.49999999993e-05 6.51999999999e-05 setitem_existing SortedDict_Py27 100000 0.000758999999999 0.000826 0.000783 0.0007884 setitem_existing SortedDict_Py27 1000000 0.008414 0.009144 0.008527 0.0086236 delitem SortedDict_Py27 100 7.00000000009e-06 1.29999999992e-05 7.99999999757e-06 8.5999999996e-06 delitem SortedDict_Py27 1000 3.20000000009e-05 3.59999999979e-05 3.39999999994e-05 3.37999999999e-05 delitem SortedDict_Py27 10000 0.000299999999999 0.000303000000002 0.000302999999999 0.000301800000001 delitem SortedDict_Py27 100000 0.003549 0.003754 0.003606 0.0036252 delitem SortedDict_Py27 1000000 0.042739 0.044381 0.043285 0.0435418 iter SortedDict_Py27 100 2.19999999977e-05 2.30000000023e-05 2.20000000013e-05 2.23999999996e-05 iter SortedDict_Py27 1000 0.000192999999999 0.000197 0.000192999999999 0.000194 iter SortedDict_Py27 10000 0.001802 0.001843 0.001815 0.0018204 iter SortedDict_Py27 100000 0.018327 0.01856 0.018399 0.0184262 iter SortedDict_Py27 1000000 0.187127 0.196897 0.190348 0.1912186 init SortedDict_Py27 100 3.50000000005e-05 6.69999999978e-05 4.50000000001e-05 4.55999999993e-05 init SortedDict_Py27 1000 0.000232 0.000235 0.000232999999998 0.000233 init SortedDict_Py27 10000 0.00267 0.002751 0.002676 0.002694 init SortedDict_Py27 100000 0.030033 0.033908 0.031628 0.0318284 init SortedDict_Py27 1000000 0.537082 0.81733 0.55804 0.6065944 contains SortedDict_PyPy 100 3.00000000009e-06 5.00000000003e-06 4e-06 4.00000000003e-06 contains SortedDict_PyPy 1000 4e-06 6.00000000006e-06 5.99999999995e-06 5.59999999998e-06 contains SortedDict_PyPy 10000 1.69999999999e-05 2.3e-05 1.7e-05 1.84e-05 contains SortedDict_PyPy 100000 5e-05 8.50000000001e-05 5.70000000001e-05 6.1e-05 contains SortedDict_PyPy 1000000 0.000682 0.000813 0.000712 0.0007302 getitem SortedDict_PyPy 100 4.99999999981e-06 5.00000000025e-06 4.99999999981e-06 4.9999999999e-06 getitem SortedDict_PyPy 1000 4.99999999981e-06 7.00000000009e-06 7.00000000009e-06 6.4000000001e-06 getitem SortedDict_PyPy 10000 2.39999999998e-05 3.69999999998e-05 2.49999999999e-05 2.75999999999e-05 getitem SortedDict_PyPy 100000 6.10000000001e-05 0.000121 0.000101 9.06000000001e-05 getitem SortedDict_PyPy 1000000 0.000897 0.001037 0.000961 0.0009674 setitem SortedDict_PyPy 100 8.00000000023e-06 9.00000000037e-06 8.99999999948e-06 8.59999999996e-06 setitem SortedDict_PyPy 1000 5.49999999997e-05 5.60000000003e-05 5.59999999998e-05 5.58e-05 setitem SortedDict_PyPy 10000 0.00055 0.002148 0.001093 0.0011664 setitem SortedDict_PyPy 100000 0.000415 0.003171 0.000664 0.0014606 setitem SortedDict_PyPy 1000000 0.005862 0.005968 0.005866 0.005889 setitem_existing SortedDict_PyPy 100 5.99999999995e-06 7.00000000009e-06 6.00000000084e-06 6.20000000033e-06 setitem_existing SortedDict_PyPy 1000 9.99999999962e-06 1.09999999998e-05 1.00000000005e-05 1.02000000002e-05 setitem_existing SortedDict_PyPy 10000 5.59999999989e-05 7e-05 5.7e-05 5.97999999998e-05 setitem_existing SortedDict_PyPy 100000 8.40000000002e-05 0.000136 9.5e-05 0.0001036 setitem_existing SortedDict_PyPy 1000000 0.001281 0.001911 0.001403 0.0014884 delitem SortedDict_PyPy 100 1.19999999999e-05 1.49999999985e-05 1.3e-05 1.33999999997e-05 delitem SortedDict_PyPy 1000 6.69999999996e-05 6.89999999999e-05 6.70000000005e-05 6.77999999999e-05 delitem SortedDict_PyPy 10000 0.000425000000001 0.001395 0.000433 0.0007126 delitem SortedDict_PyPy 100000 0.000547 0.011392 0.001778 0.0048936 delitem SortedDict_PyPy 1000000 0.008296 0.009502 0.009081 0.0090032 iter SortedDict_PyPy 100 5.7e-05 6.19999999998e-05 5.80000000001e-05 5.87999999999e-05 iter SortedDict_PyPy 1000 2.59999999992e-05 3.00000000006e-05 2.70000000002e-05 2.73999999999e-05 iter SortedDict_PyPy 10000 0.000145999999999 0.000432 0.000149 0.000205 iter SortedDict_PyPy 100000 0.000842 0.003561 0.001743 0.0020962 iter SortedDict_PyPy 1000000 0.007654 0.008449 0.00797 0.008041 init SortedDict_PyPy 100 5.79999999992e-05 6.19999999998e-05 6.00000000013e-05 5.99999999999e-05 init SortedDict_PyPy 1000 0.000163000000001 0.000243000000001 0.000166999999999 0.0001814 init SortedDict_PyPy 10000 0.00199 0.00223 0.002012 0.002071 init SortedDict_PyPy 100000 0.025724 0.028434 0.026956 0.026963 init SortedDict_PyPy 1000000 0.384995 0.428829 0.41671 0.4132286 python-sortedcontainers-2.1.0/tests/results_runtime_sortedlist.txt000066400000000000000000000612761337542712000260620ustar00rootroot00000000000000add SortedList_Py36 100 3.0000000013075123e-06 6.000000000838668e-06 4.000000000559112e-06 4.400000000259751e-06 add SortedList_Py36 1000 1.799999999896329e-05 1.8999999999991246e-05 1.799999999896329e-05 1.8399999999374473e-05 add SortedList_Py36 10000 0.0001650000000008589 0.00021499999999896602 0.0001650000000008589 0.00017540000000053623 add SortedList_Py36 100000 0.0018770000000003506 0.0022479999999998057 0.0019119999999990256 0.00197579999999995 add SortedList_Py36 1000000 0.025031000000000247 0.0275540000000003 0.025603000000000264 0.02588720000000002 update_small SortedList_Py36 100 1.4999999999432134e-05 1.600000000046009e-05 1.4999999999432134e-05 1.5399999999488045e-05 update_small SortedList_Py36 1000 0.00015499999999946112 0.00015900000000002024 0.00015600000000048908 0.00015660000000004005 update_small SortedList_Py36 10000 0.0016479999999994277 0.0018250000000001876 0.0016899999999999693 0.0017056000000000183 update_small SortedList_Py36 100000 0.01842000000000077 0.018912999999999514 0.018525000000000347 0.018599199999999882 update_small SortedList_Py36 1000000 0.22294099999999872 0.22647800000000018 0.22482300000000066 0.22483739999999913 update_large SortedList_Py36 100 2.1999999997746045e-05 2.3999999999801958e-05 2.200000000129876e-05 2.259999999907336e-05 update_large SortedList_Py36 1000 0.000226999999998867 0.00023399999999895726 0.00022799999999989495 0.00022939999999920245 update_large SortedList_Py36 10000 0.0030959999999993215 0.0031970000000001164 0.0031330000000018288 0.003133400000000108 update_large SortedList_Py36 100000 0.039533999999999736 0.039965999999999724 0.039867000000000985 0.039783200000000817 update_large SortedList_Py36 1000000 0.6101419999999997 0.6381559999999986 0.6262419999999977 0.6261335999999993 contains SortedList_Py36 100 2.0000000020559128e-06 4.000000000559112e-06 2.9999999995311555e-06 3.000000000952241e-06 contains SortedList_Py36 1000 9.999999999621423e-06 1.100000000064938e-05 1.0999999997096666e-05 1.0599999999527654e-05 contains SortedList_Py36 10000 9.700000000023579e-05 0.00010200000000182285 9.800000000126374e-05 9.880000000066503e-05 contains SortedList_Py36 100000 0.00122299999999953 0.0012970000000009918 0.001246999999999332 0.0012526000000001147 contains SortedList_Py36 1000000 0.015520000000002199 0.01594599999999957 0.015700999999999965 0.015729400000000025 remove SortedList_Py36 100 2.9999999995311555e-06 4.9999999980343546e-06 4.000000000559112e-06 3.999999999138026e-06 remove SortedList_Py36 1000 1.8000000000739647e-05 2.8999999997836312e-05 1.9999999999242846e-05 2.119999999976585e-05 remove SortedList_Py36 10000 0.00017500000000225668 0.0001889999999988845 0.00017600000000328464 0.0001806000000009078 remove SortedList_Py36 100000 0.0019810000000006767 0.0021020000000007144 0.00198999999999927 0.0020194000000003597 remove SortedList_Py36 1000000 0.025354999999997574 0.025956000000000756 0.025604000000001292 0.025616600000000746 delitem SortedList_Py36 100 5.000000001587068e-06 6.999999996537554e-06 5.999999999062311e-06 5.799999999567262e-06 delitem SortedList_Py36 1000 2.5999999998305157e-05 3.0999999999892225e-05 2.800000000036107e-05 2.8199999999856117e-05 delitem SortedList_Py36 10000 0.000476999999996508 0.0005000000000023874 0.0004880000000042628 0.0004884000000004107 delitem SortedList_Py36 100000 0.005493999999998778 0.005729999999999791 0.005639999999999645 0.005621599999999205 delitem SortedList_Py36 1000000 0.06923900000000316 0.0708800000000025 0.06985999999999848 0.07008960000000002 bisect SortedList_Py36 100 2.9999999995311555e-06 3.999999997006398e-06 2.9999999995311555e-06 3.3999999985212525e-06 bisect SortedList_Py36 1000 1.100000000064938e-05 1.1999999998124622e-05 1.1999999998124622e-05 1.1599999999134525e-05 bisect SortedList_Py36 10000 0.00021999999999877673 0.00022399999999578313 0.0002210000000033574 0.0002215999999975793 bisect SortedList_Py36 100000 0.0027780000000063865 0.002805999999999642 0.002790999999994881 0.002790199999999743 bisect SortedList_Py36 1000000 0.03744800000000481 0.038862999999999204 0.03832700000000244 0.03818520000000092 getitem SortedList_Py36 100 1.9999999949504854e-06 2.9999999995311555e-06 2.0000000020559128e-06 2.399999998203839e-06 getitem SortedList_Py36 1000 7.999999994012796e-06 9.999999996068709e-06 8.999999998593466e-06 8.799999999098419e-06 getitem SortedList_Py36 10000 0.00023399999999895726 0.00023799999999596366 0.00023600000000101318 0.00023579999999867596 getitem SortedList_Py36 100000 0.0027790000000038617 0.002950999999995929 0.0028190000000023474 0.002830400000000566 getitem SortedList_Py36 1000000 0.03455799999999698 0.037029000000003975 0.034708999999999435 0.03527400000000114 pop SortedList_Py36 100 2.9999999995311555e-06 5.999999999062311e-06 3.999999997006398e-06 4.199999999343618e-06 pop SortedList_Py36 1000 1.4999999997655777e-05 1.6000000002236447e-05 1.5000000004761205e-05 1.5400000000909132e-05 pop SortedList_Py36 10000 0.0001260000000016248 0.00013100000000321188 0.00012699999999910005 0.00012760000000184847 pop SortedList_Py36 100000 0.0012459999999947513 0.0012940000000014606 0.0012490000000013879 0.001261999999998409 pop SortedList_Py36 1000000 0.012709999999998445 0.013488999999999862 0.012872000000001549 0.01297919999999948 index SortedList_Py36 100 2.9999999995311555e-06 4.0000000041118255e-06 2.9999999995311555e-06 3.399999999942338e-06 index SortedList_Py36 1000 1.5000000004761205e-05 1.6000000002236447e-05 1.6000000002236447e-05 1.5800000001320312e-05 index SortedList_Py36 10000 0.0002610000000018431 0.0002769999999969741 0.0002649999999988495 0.0002667999999985682 index SortedList_Py36 100000 0.0031409999999993943 0.0033670000000043387 0.003327000000005853 0.0032654000000022164 index SortedList_Py36 1000000 0.04185199999999867 0.0427309999999963 0.04242500000000149 0.04237899999999968 iter SortedList_Py36 100 9.999999996068709e-06 1.4000000000180535e-05 1.100000000064938e-05 1.160000000055561e-05 iter SortedList_Py36 1000 8.899999999556485e-05 9.399999999715192e-05 8.900000000267028e-05 9.07999999995468e-05 iter SortedList_Py36 10000 0.0009080000000025734 0.0009820000000004825 0.0009090000000000487 0.000932400000002076 iter SortedList_Py36 100000 0.009134000000003084 0.009698000000000206 0.00938899999999876 0.009386400000001061 iter SortedList_Py36 1000000 0.0916080000000008 0.0944640000000021 0.09226199999999807 0.09256060000000162 count SortedList_Py36 100 2.9999999995311555e-06 4.999999994481641e-06 2.9999999995311555e-06 3.599999998016301e-06 count SortedList_Py36 1000 1.599999999513102e-05 1.7999999997186933e-05 1.699999999971169e-05 1.6999999998290606e-05 count SortedList_Py36 10000 0.00016300000000057935 0.00017099999999459214 0.00016300000000057935 0.00016479999999887695 count SortedList_Py36 100000 0.0021209999999953766 0.002195000000000391 0.0021459999999962065 0.0021481999999977573 count SortedList_Py36 1000000 0.02433300000000571 0.02506999999999948 0.024588999999998862 0.024653000000000702 priorityqueue SortedList_Py36 100 2.5999999998305157e-05 2.9999999995311555e-05 2.7000000002885827e-05 2.7599999999949886e-05 priorityqueue SortedList_Py36 1000 0.0002589999999997872 0.0002649999999988495 0.00026199999999931833 0.0002622000000002345 priorityqueue SortedList_Py36 10000 0.002605000000002633 0.002670999999999424 0.002653999999999712 0.0026474000000007436 priorityqueue SortedList_Py36 100000 0.02757800000000543 0.03581799999999902 0.027949999999997033 0.029419400000001872 priorityqueue SortedList_Py36 1000000 0.3430259999999947 0.3477409999999992 0.3446819999999917 0.34540199999999854 multiset SortedList_Py36 100 2.3999999996249244e-05 2.7000000002885827e-05 2.4999999993724487e-05 2.5199999998903878e-05 multiset SortedList_Py36 1000 0.00022299999999120246 0.0002309999999994261 0.00022400000000288856 0.00022600000000068122 multiset SortedList_Py36 10000 0.0026519999999976562 0.0027050000000059526 0.0026519999999976562 0.0026719999999983203 multiset SortedList_Py36 100000 0.028645999999994842 0.02928900000000567 0.029002999999988788 0.029025799999993752 multiset SortedList_Py36 1000000 0.387605999999991 0.38980800000000215 0.38816599999999823 0.38830059999999944 ranking SortedList_Py36 100 2.800000000036107e-05 3.699999999184911e-05 3.000000000952241e-05 3.1400000000303405e-05 ranking SortedList_Py36 1000 0.0002559999999931506 0.00032099999999957163 0.0002589999999997872 0.000271799999995892 ranking SortedList_Py36 10000 0.0037889999999976 0.0039439999999899555 0.003862999999995509 0.0038547999999934746 ranking SortedList_Py36 100000 0.043925000000001546 0.04416299999999751 0.04400599999999599 0.044036599999998316 ranking SortedList_Py36 1000000 0.5705609999999979 0.5750240000000133 0.5745830000000041 0.5735228000000063 neighbor SortedList_Py36 100 2.2999999998774e-05 3.100000000699765e-05 2.7000000002885827e-05 2.640000000155851e-05 neighbor SortedList_Py36 1000 0.00023399999999185184 0.0002539999999982001 0.00024399999999502597 0.00024379999999553094 neighbor SortedList_Py36 10000 0.003401999999994132 0.003448000000005891 0.0034139999999922566 0.0034225999999989653 neighbor SortedList_Py36 100000 0.03961200000000531 0.040716000000003305 0.03989900000000546 0.04009700000000009 neighbor SortedList_Py36 1000000 0.5418409999999909 0.5505160000000018 0.5442249999999973 0.5456599999999951 intervals SortedList_Py36 100 2.9999999995311555e-05 3.8000000003535206e-05 3.499999999689862e-05 3.4399999998413476e-05 intervals SortedList_Py36 1000 0.0002789999999919246 0.0002910000000042601 0.00028700000000014825 0.0002857999999974936 intervals SortedList_Py36 10000 0.004247000000006551 0.004334999999997535 0.0042839999999984 0.004291399999999612 intervals SortedList_Py36 100000 0.05050799999999356 0.050981999999990535 0.05068500000000142 0.05072739999999669 intervals SortedList_Py36 1000000 0.6593579999999974 0.683441000000002 0.6675359999999984 0.6695738000000006 init SortedList_Py36 100 1.4000000007285962e-05 1.6000000002236447e-05 1.5000000004761205e-05 1.5000000001919033e-05 init SortedList_Py36 1000 0.000160999999991418 0.00016499999999552983 0.00016300000000057935 0.00016279999999824213 init SortedList_Py36 10000 0.0022149999999925285 0.002466999999995778 0.002220999999991591 0.0022759999999948377 init SortedList_Py36 100000 0.030724000000006413 0.031018999999986363 0.03082899999999711 0.030850399999999924 init SortedList_Py36 1000000 0.5280719999999945 0.541955999999999 0.5355090000000047 0.5349019999999995 add SortedList_Py27 100 4.99999999981e-06 6.00000000084e-06 5.99999999906e-06 5.60000000007e-06 add SortedList_Py27 1000 2.89999999996e-05 3.00000000006e-05 2.89999999996e-05 2.91999999998e-05 add SortedList_Py27 10000 0.000229000000001 0.000234000000001 0.000231999999999 0.0002316 add SortedList_Py27 100000 0.002509 0.002706 0.002556 0.0025776 add SortedList_Py27 1000000 0.032215 0.034093 0.032678 0.0329566 update_small SortedList_Py27 100 2.30000000006e-05 2.39999999998e-05 2.39999999998e-05 2.36000000001e-05 update_small SortedList_Py27 1000 0.000219000000001 0.000220000000001 0.000220000000001 0.000219800000001 update_small SortedList_Py27 10000 0.002258 0.002306 0.002269 0.002281 update_small SortedList_Py27 100000 0.024072 0.024972 0.024232 0.0243512 update_small SortedList_Py27 1000000 0.268289 0.271479 0.271169 0.2705138 update_large SortedList_Py27 100 2.39999999998e-05 2.50000000008e-05 2.39999999998e-05 2.42e-05 update_large SortedList_Py27 1000 0.000207000000003 0.000209000000002 0.000208999999998 0.000208400000001 update_large SortedList_Py27 10000 0.002549 0.002598 0.002554 0.002569 update_large SortedList_Py27 100000 0.034275 0.034641 0.034454 0.0344408 update_large SortedList_Py27 1000000 0.564191 0.580027 0.569077 0.5712914 contains SortedList_Py27 100 2.99999999953e-06 4.00000000056e-06 4.00000000056e-06 3.60000000086e-06 contains SortedList_Py27 1000 1.40000000002e-05 1.60000000022e-05 1.49999999977e-05 1.49999999998e-05 contains SortedList_Py27 10000 0.000129999999999 0.000131 0.000131 0.0001306 contains SortedList_Py27 100000 0.001509 0.001582 0.001538 0.0015384 contains SortedList_Py27 1000000 0.019152 0.019535 0.01926 0.0193272 remove SortedList_Py27 100 4.99999999803e-06 5.99999999906e-06 5.00000000159e-06 5.39999999916e-06 remove SortedList_Py27 1000 2.69999999993e-05 2.90000000014e-05 2.80000000004e-05 2.79999999997e-05 remove SortedList_Py27 10000 0.000261000000002 0.000343999999998 0.000263 0.0002786 remove SortedList_Py27 100000 0.002811 0.003039 0.002821 0.0028828 remove SortedList_Py27 1000000 0.035495 0.036264 0.035858 0.0358468 delitem SortedList_Py27 100 5.99999999906e-06 8.00000000112e-06 6.99999999654e-06 6.99999999938e-06 delitem SortedList_Py27 1000 3.79999999964e-05 3.9000000001e-05 3.80000000035e-05 3.82000000002e-05 delitem SortedList_Py27 10000 0.000787000000003 0.000828000000006 0.000810999999999 0.000807400000002 delitem SortedList_Py27 100000 0.009636 0.010017 0.009796 0.0098078 delitem SortedList_Py27 1000000 0.12118 0.122962 0.121622 0.1218906 bisect SortedList_Py27 100 4.00000000411e-06 5.00000000159e-06 4.00000000411e-06 4.40000000168e-06 bisect SortedList_Py27 1000 1.60000000022e-05 1.80000000043e-05 1.79999999972e-05 1.74000000001e-05 bisect SortedList_Py27 10000 0.000329999999998 0.000336999999995 0.000333000000005 0.0003334 bisect SortedList_Py27 100000 0.004142 0.00422200000001 0.004167 0.0041744 bisect SortedList_Py27 1000000 0.055886 0.059278 0.057515 0.0575404 getitem SortedList_Py27 100 2.99999999953e-06 5.00000000159e-06 3.99999999701e-06 3.79999999893e-06 getitem SortedList_Py27 1000 1.30000000027e-05 1.49999999977e-05 1.40000000002e-05 1.40000000002e-05 getitem SortedList_Py27 10000 0.000450000000001 0.000481000000001 0.000452000000003 0.000457200000001 getitem SortedList_Py27 100000 0.005599 0.005682 0.00566000000001 0.0056416 getitem SortedList_Py27 1000000 0.06932 0.069762 0.069544 0.0695746 pop SortedList_Py27 100 5.00000000159e-06 5.99999999906e-06 5.00000000159e-06 5.40000000058e-06 pop SortedList_Py27 1000 2.40000000034e-05 2.59999999983e-05 2.50000000008e-05 2.51999999989e-05 pop SortedList_Py27 10000 0.000208999999998 0.000211 0.000210000000003 0.000209800000002 pop SortedList_Py27 100000 0.002057 0.002107 0.002066 0.0020782 pop SortedList_Py27 1000000 0.020965 0.021649 0.021187 0.0212316 index SortedList_Py27 100 4.99999999448e-06 5.99999999906e-06 5.00000000159e-06 5.19999999824e-06 index SortedList_Py27 1000 2.69999999958e-05 2.80000000004e-05 2.69999999958e-05 2.71999999981e-05 index SortedList_Py27 10000 0.000450999999998 0.000458000000002 0.000453999999998 0.0004544 index SortedList_Py27 100000 0.005233 0.005312 0.005278 0.0052754 index SortedList_Py27 1000000 0.067246 0.069132 0.068308 0.0682764 iter SortedList_Py27 100 2.09999999967e-05 2.29999999988e-05 2.20000000013e-05 2.2199999998e-05 iter SortedList_Py27 1000 0.000183 0.000184000000004 0.000183 0.000183400000002 iter SortedList_Py27 10000 0.001803 0.001881 0.001805 0.0018284 iter SortedList_Py27 100000 0.018057 0.018134 0.018101 0.018101 iter SortedList_Py27 1000000 0.183864 0.187691 0.186797 0.1859794 count SortedList_Py27 100 3.99999999701e-06 5.99999999906e-06 3.99999999701e-06 4.39999999884e-06 count SortedList_Py27 1000 2.29999999988e-05 4.20000000005e-05 2.30000000059e-05 2.6800000002e-05 count SortedList_Py27 10000 0.000253999999998 0.00029 0.000254999999996 0.0002618 count SortedList_Py27 100000 0.002563 0.002799 0.00259 0.0026518 count SortedList_Py27 1000000 0.029672 0.031056 0.030678 0.030532 priorityqueue SortedList_Py27 100 3.9000000001e-05 5.49999999961e-05 3.9000000001e-05 4.41999999993e-05 priorityqueue SortedList_Py27 1000 0.000349999999997 0.000396000000002 0.000366999999997 0.0003688 priorityqueue SortedList_Py27 10000 0.003615 0.003835 0.003696 0.0037028 priorityqueue SortedList_Py27 100000 0.038076 0.038656 0.038242 0.0382858 priorityqueue SortedList_Py27 1000000 0.444885 0.451387 0.447218 0.4478082 multiset SortedList_Py27 100 4.60000000118e-05 6.10000000023e-05 4.80000000067e-05 5.06000000058e-05 multiset SortedList_Py27 1000 0.000282999999996 0.000298000000001 0.000288000000012 0.000290600000002 multiset SortedList_Py27 10000 0.003523 0.003641 0.00359899999999 0.0035918 multiset SortedList_Py27 100000 0.038571 0.039055 0.038848 0.0388484 multiset SortedList_Py27 1000000 0.488409 0.493714 0.491175 0.490903 ranking SortedList_Py27 100 3.9000000001e-05 6.79999999988e-05 3.99999999985e-05 4.56000000014e-05 ranking SortedList_Py27 1000 0.000351999999992 0.000358000000006 0.000353000000004 0.000353999999999 ranking SortedList_Py27 10000 0.005747 0.00604299999999 0.00578 0.0058214 ranking SortedList_Py27 100000 0.069696 0.070031 0.069721 0.0697842 ranking SortedList_Py27 1000000 0.873583 0.876656 0.87445 0.8748472 neighbor SortedList_Py27 100 3.30000000019e-05 5.60000000007e-05 4.59999999975e-05 4.33999999984e-05 neighbor SortedList_Py27 1000 0.000323999999992 0.000386999999989 0.000349 0.000357599999995 neighbor SortedList_Py27 10000 0.00517599999999 0.005368 0.00521500000001 0.005238 neighbor SortedList_Py27 100000 0.062371 0.063121 0.06252 0.0626844 neighbor SortedList_Py27 1000000 0.788003 0.801527 0.789127 0.7920806 intervals SortedList_Py27 100 5.80000000099e-05 7.39999999979e-05 6.30000000115e-05 6.46000000074e-05 intervals SortedList_Py27 1000 0.000377999999998 0.000406999999996 0.000389000000013 0.000389600000003 intervals SortedList_Py27 10000 0.00639899999999 0.00653899999999 0.006471 0.0064582 intervals SortedList_Py27 100000 0.080056 0.081116 0.08034 0.0805066 intervals SortedList_Py27 1000000 1.015942 1.041253 1.019577 1.0234238 init SortedList_Py27 100 1.50000000048e-05 1.80000000114e-05 1.69999999997e-05 1.64000000041e-05 init SortedList_Py27 1000 0.000146000000001 0.000147000000013 0.000146999999998 0.000146800000002 init SortedList_Py27 10000 0.001938 0.001948 0.00193899999999 0.0019404 init SortedList_Py27 100000 0.025872 0.026131 0.025927 0.0259662 init SortedList_Py27 1000000 0.460304 0.48284 0.46602 0.4690878 add SortedList_PyPy 100 2e-05 2.4e-05 2.1e-05 2.18e-05 add SortedList_PyPy 1000 0.000133 0.000135 0.000134 0.000134 add SortedList_PyPy 10000 0.001022 0.002126 0.001826 0.001624 add SortedList_PyPy 100000 0.000706 0.009444 0.002507 0.0043316 add SortedList_PyPy 1000000 0.009677 0.013601 0.010685 0.0114206 update_small SortedList_PyPy 100 2.90000000005e-05 3.2e-05 3.09999999999e-05 3.08000000001e-05 update_small SortedList_PyPy 1000 0.00025 0.002246 0.00025 0.0006496 update_small SortedList_PyPy 10000 0.000601000000001 0.007728 0.002228 0.002908 update_small SortedList_PyPy 100000 0.004942 0.005732 0.005086 0.0052524 update_small SortedList_PyPy 1000000 0.053145 0.055807 0.053472 0.0540052 update_large SortedList_PyPy 100 2.79999999995e-05 3.2e-05 2.80000000004e-05 2.92000000001e-05 update_large SortedList_PyPy 1000 0.000109 0.000118 0.000112 0.0001132 update_large SortedList_PyPy 10000 0.001132 0.001342 0.001182 0.0012196 update_large SortedList_PyPy 100000 0.014781 0.01531 0.015231 0.0151286 update_large SortedList_PyPy 1000000 0.16877 0.192279 0.180976 0.1807552 contains SortedList_PyPy 100 7.99999999934e-06 8.99999999948e-06 8.00000000023e-06 8.1999999999e-06 contains SortedList_PyPy 1000 5.09999999991e-05 5.80000000001e-05 5.1e-05 5.23999999999e-05 contains SortedList_PyPy 10000 0.000243999999999 0.000928999999999 0.000253000000001 0.0004676 contains SortedList_PyPy 100000 0.000354 0.005398 0.00052 0.0023216 contains SortedList_PyPy 1000000 0.004624 0.016136 0.004914 0.0071716 remove SortedList_PyPy 100 7.99999999934e-06 9.99999999962e-06 8.00000000023e-06 8.59999999996e-06 remove SortedList_PyPy 1000 3.00000000006e-05 3.30000000002e-05 3.2e-05 3.18000000002e-05 remove SortedList_PyPy 10000 0.000265 0.000319 0.000271000000001 0.0002882 remove SortedList_PyPy 100000 0.000667000000001 0.00839 0.000680999999999 0.0032728 remove SortedList_PyPy 1000000 0.00629 0.007187 0.006537 0.0066546 delitem SortedList_PyPy 100 1.50000000003e-05 1.79999999999e-05 1.59999999987e-05 1.59999999999e-05 delitem SortedList_PyPy 1000 3.99999999994e-05 4.10000000004e-05 4.10000000004e-05 4.06000000002e-05 delitem SortedList_PyPy 10000 0.001285 0.001794 0.001549 0.0015572 delitem SortedList_PyPy 100000 0.000939 0.00493 0.001022 0.0018358 delitem SortedList_PyPy 1000000 0.005838 0.006354 0.005934 0.0059872 bisect SortedList_PyPy 100 5.99999999906e-06 7.99999999934e-06 7.00000000009e-06 6.8000000006e-06 bisect SortedList_PyPy 1000 1.9e-05 2.10000000003e-05 1.99999999992e-05 2e-05 bisect SortedList_PyPy 10000 0.000354999999999 0.001159 0.000520999999999 0.000653599999999 bisect SortedList_PyPy 100000 0.004009 0.008369 0.005833 0.005961 bisect SortedList_PyPy 1000000 0.006263 0.018023 0.006812 0.0088896 getitem SortedList_PyPy 100 5.99999999906e-06 7.00000000187e-06 7.00000000009e-06 6.60000000039e-06 getitem SortedList_PyPy 1000 1.69999999997e-05 1.9e-05 1.80000000007e-05 1.8e-05 getitem SortedList_PyPy 10000 0.000372 0.000442999999999 0.000382 0.0003928 getitem SortedList_PyPy 100000 0.000413000000002 0.002891 0.00043 0.000956200000001 getitem SortedList_PyPy 1000000 0.002756 0.005646 0.003225 0.0036866 pop SortedList_PyPy 100 1.00000000014e-05 1.30000000009e-05 1.19999999999e-05 1.16000000009e-05 pop SortedList_PyPy 1000 1.69999999997e-05 1.9e-05 1.80000000007e-05 1.80000000004e-05 pop SortedList_PyPy 10000 0.000128 0.000130000000002 0.000129999999999 0.0001294 pop SortedList_PyPy 100000 5.40000000004e-05 7.69999999992e-05 7.19999999994e-05 6.95999999998e-05 pop SortedList_PyPy 1000000 0.000293000000001 0.000385999999999 0.000295000000001 0.000313599999999 index SortedList_PyPy 100 8.00000000112e-06 9.99999999962e-06 9.00000000037e-06 9.00000000037e-06 index SortedList_PyPy 1000 3.39999999994e-05 3.70000000007e-05 3.59999999997e-05 3.56e-05 index SortedList_PyPy 10000 0.000332999999999 0.000383000000001 0.000335999999999 0.0003448 index SortedList_PyPy 100000 0.0043 0.012273 0.005926 0.006998 index SortedList_PyPy 1000000 0.006096 0.00675 0.006308 0.0064298 iter SortedList_PyPy 100 5.20000000002e-05 5.29999999994e-05 5.29999999994e-05 5.25999999997e-05 iter SortedList_PyPy 1000 2.39999999998e-05 2.80000000021e-05 2.49999999991e-05 2.58000000002e-05 iter SortedList_PyPy 10000 0.000138999999999 0.000149000000002 0.000141999999999 0.0001432 iter SortedList_PyPy 100000 0.000913000000001 0.00214 0.000940000000002 0.0011834 iter SortedList_PyPy 1000000 0.007549 0.019922 0.007949 0.0102208 count SortedList_PyPy 100 5.99999999906e-06 8.00000000112e-06 7.00000000009e-06 6.99999999973e-06 count SortedList_PyPy 1000 2.60000000001e-05 2.80000000004e-05 2.69999999993e-05 2.7e-05 count SortedList_PyPy 10000 0.000288999999999 0.000329000000001 0.000292000000002 0.0003012 count SortedList_PyPy 100000 0.000884999999998 0.0096 0.001132 0.0042446 count SortedList_PyPy 1000000 0.007248 0.008226 0.007941 0.0077634 priorityqueue SortedList_PyPy 100 5.60000000007e-05 6.09999999988e-05 5.79999999992e-05 5.84e-05 priorityqueue SortedList_PyPy 1000 0.000350000000001 0.000440000000001 0.000375999999999 0.000382400000001 priorityqueue SortedList_PyPy 10000 0.004105 0.021281 0.007609 0.0093112 priorityqueue SortedList_PyPy 100000 0.004337 0.013837 0.004639 0.0079218 priorityqueue SortedList_PyPy 1000000 0.050885 0.06712 0.053608 0.0565932 multiset SortedList_PyPy 100 4.50000000001e-05 6.60000000003e-05 4.90000000006e-05 5.16000000005e-05 multiset SortedList_PyPy 1000 0.000328 0.000384 0.000337000000002 0.000343399999999 multiset SortedList_PyPy 10000 0.004974 0.012581 0.009395 0.0094512 multiset SortedList_PyPy 100000 0.004687 0.014691 0.005036 0.0068866 multiset SortedList_PyPy 1000000 0.055817 0.073237 0.056152 0.0594666 ranking SortedList_PyPy 100 3.50000000005e-05 6.00000000013e-05 4.20000000005e-05 4.44000000009e-05 ranking SortedList_PyPy 1000 0.000289000000002 0.000339 0.000298000000001 0.000306000000001 ranking SortedList_PyPy 10000 0.005964 0.015123 0.008949 0.00982 ranking SortedList_PyPy 100000 0.006003 0.018609 0.007412 0.0103096 ranking SortedList_PyPy 1000000 0.05422 0.067642 0.055228 0.0575034 neighbor SortedList_PyPy 100 3.39999999994e-05 7.50000000025e-05 6.00000000013e-05 5.28000000017e-05 neighbor SortedList_PyPy 1000 0.000254999999999 0.001009 0.000271999999995 0.000414000000001 neighbor SortedList_PyPy 10000 0.005966 0.024879 0.011225 0.0129864 neighbor SortedList_PyPy 100000 0.005918 0.021443 0.008365 0.0101428 neighbor SortedList_PyPy 1000000 0.066036 0.067726 0.067034 0.066825 intervals SortedList_PyPy 100 4.99999999981e-05 8.10000000016e-05 7.19999999994e-05 6.82000000005e-05 intervals SortedList_PyPy 1000 0.000392000000002 0.001018 0.000415 0.000533400000001 intervals SortedList_PyPy 10000 0.008771 0.018332 0.014984 0.0141918 intervals SortedList_PyPy 100000 0.007077 0.036983 0.008231 0.0140156 intervals SortedList_PyPy 1000000 0.063993 0.074863 0.069252 0.0693392 init SortedList_PyPy 100 1.99999999992e-05 2.50000000008e-05 2.10000000003e-05 2.16000000002e-05 init SortedList_PyPy 1000 9.00000000037e-05 9.29999999961e-05 9.20000000022e-05 9.16000000011e-05 init SortedList_PyPy 10000 0.000955000000001 0.001045 0.000962999999999 0.000977400000001 init SortedList_PyPy 100000 0.011811 0.014879 0.012164 0.0125856 init SortedList_PyPy 1000000 0.143197 0.164691 0.156464 0.1554872 python-sortedcontainers-2.1.0/tests/results_runtime_sortedset.txt000066400000000000000000001677011337542712000257020ustar00rootroot00000000000000contains SortedSet_Py36 100 2.000000000279556e-06 4.000000000559112e-06 3.0000000013075123e-06 2.8000000007466497e-06 contains SortedSet_Py36 1000 2.9999999995311555e-06 4.999999999810711e-06 4.000000000559112e-06 3.999999999848569e-06 contains SortedSet_Py36 10000 1.799999999896329e-05 1.8999999999991246e-05 1.8999999999991246e-05 1.8599999999935336e-05 contains SortedSet_Py36 100000 0.00022899999999914655 0.0002589999999997872 0.00023200000000045407 0.00023640000000000328 contains SortedSet_Py36 1000000 0.003106999999999971 0.0034849999999995163 0.0033530000000006055 0.003312599999999932 iter SortedSet_Py36 100 1.0999999998873022e-05 1.100000000064938e-05 1.100000000064938e-05 1.0999999999938837e-05 iter SortedSet_Py36 1000 9.000000000014552e-05 9.200000000042508e-05 9.099999999939712e-05 9.100000000010766e-05 iter SortedSet_Py36 10000 0.0009109999999985519 0.0009540000000001214 0.0009150000000008873 0.000922599999999818 iter SortedSet_Py36 100000 0.00918100000000166 0.009399999999999409 0.009249999999999758 0.009270200000000627 iter SortedSet_Py36 1000000 0.09183699999999817 0.09753399999999957 0.09185199999999938 0.09318579999999983 add SortedSet_Py36 100 4.000000000559112e-06 7.000000000090267e-06 6.000000002615025e-06 5.6000000007827564e-06 add SortedSet_Py36 1000 2.2999999998774e-05 2.400000000335467e-05 2.2999999998774e-05 2.3399999999895726e-05 add SortedSet_Py36 10000 0.0002080000000006521 0.0002589999999997872 0.0002099999999991553 0.00022799999999989495 add SortedSet_Py36 100000 0.002266999999999797 0.002321999999999491 0.0022719999999978313 0.0022835999999990973 add SortedSet_Py36 1000000 0.023755000000001303 0.024059000000001163 0.023910000000000764 0.023893000000001052 update_tiny SortedSet_Py36 100 1.8000000000739647e-05 2.1000000000270802e-05 1.9999999999242846e-05 1.9400000000047157e-05 update_tiny SortedSet_Py36 1000 1.8000000000739647e-05 1.9000000001767603e-05 1.9000000001767603e-05 1.8800000000851468e-05 update_tiny SortedSet_Py36 10000 2.1000000000270802e-05 2.200000000129876e-05 2.200000000129876e-05 2.1600000000887575e-05 update_tiny SortedSet_Py36 100000 3.200000000092018e-05 3.499999999689862e-05 3.2999999998395424e-05 3.299999999910597e-05 update_tiny SortedSet_Py36 1000000 4.2000000000541604e-05 5.3999999998666226e-05 4.700000000212867e-05 4.66000000002964e-05 update_small SortedSet_Py36 100 1.699999999971169e-05 1.9000000001767603e-05 1.8000000000739647e-05 1.8200000000234694e-05 update_small SortedSet_Py36 1000 0.00014999999999787406 0.00015300000000095793 0.00015199999999992997 0.00015160000000022933 update_small SortedSet_Py36 10000 0.0015590000000003101 0.001573999999997966 0.0015660000000004004 0.0015666000000003066 update_small SortedSet_Py36 100000 0.015166000000000679 0.01673600000000164 0.015235000000000554 0.015513599999999883 update_small SortedSet_Py36 1000000 0.19200599999999923 0.1946489999999983 0.1925220000000003 0.19312580000000068 update_medium SortedSet_Py36 100 1.3000000002705292e-05 1.4000000000180535e-05 1.4000000000180535e-05 1.3800000000685487e-05 update_medium SortedSet_Py36 1000 6.199999999978445e-05 6.49999999993156e-05 6.399999999473494e-05 6.359999999858701e-05 update_medium SortedSet_Py36 10000 0.0004920000000012692 0.0005139999999954625 0.0004920000000012692 0.0004977999999994154 update_medium SortedSet_Py36 100000 0.005670000000002062 0.005789000000000044 0.005686000000004299 0.005704200000002402 update_medium SortedSet_Py36 1000000 0.10908399999999574 0.11300299999999908 0.11158399999999347 0.11138119999999674 update_large SortedSet_Py36 100 1.599999999513102e-05 1.7999999997186933e-05 1.6000000002236447e-05 1.6399999998384375e-05 update_large SortedSet_Py36 1000 8.200000000613272e-05 9.500000000173259e-05 8.400000000108321e-05 8.580000000222299e-05 update_large SortedSet_Py36 10000 0.000717000000001633 0.0007799999999988927 0.0007189999999965835 0.0007341999999994186 update_large SortedSet_Py36 100000 0.010499000000002923 0.011372999999998967 0.010717999999997119 0.010785799999999313 update_large SortedSet_Py36 1000000 0.15167900000000145 0.15487600000000157 0.15412800000000004 0.15379020000000027 union_tiny SortedSet_Py36 100 2.1000000003823516e-05 2.400000000335467e-05 2.200000000129876e-05 2.240000000170994e-05 union_tiny SortedSet_Py36 1000 6.599999999679085e-05 6.600000000389628e-05 6.600000000389628e-05 6.600000000247518e-05 union_tiny SortedSet_Py36 10000 0.0005419999999958236 0.0005649999999945976 0.0005450000000024602 0.0005499999999969418 union_tiny SortedSet_Py36 100000 0.005622999999999934 0.005856999999998891 0.0057770000000019195 0.005754000000000303 union_tiny SortedSet_Py36 1000000 0.100518000000001 0.11282800000000037 0.10228000000000037 0.10416740000000005 union_small SortedSet_Py36 100 2.2999999998774e-05 2.5999999998305157e-05 2.400000000335467e-05 2.4200000000007547e-05 union_small SortedSet_Py36 1000 7.300000000043383e-05 7.399999999790907e-05 7.300000000043383e-05 7.339999999942393e-05 union_small SortedSet_Py36 10000 0.0005899999999954275 0.0006699999999995043 0.0005930000000020641 0.0006079999999997199 union_small SortedSet_Py36 100000 0.006326000000001386 0.006484999999997854 0.006385999999999115 0.006410799999999028 union_small SortedSet_Py36 1000000 0.12465199999999754 0.12694199999999967 0.12529500000000127 0.12564160000000016 union_medium SortedSet_Py36 100 2.3999999996249244e-05 2.6000000005410584e-05 2.400000000335467e-05 2.4400000002344767e-05 union_medium SortedSet_Py36 1000 0.00010699999999985721 0.0001089999999948077 0.00010799999999733245 0.00010799999999875354 union_medium SortedSet_Py36 10000 0.0008079999999992538 0.0009000000000014552 0.0008100000000013097 0.0008276000000009276 union_medium SortedSet_Py36 100000 0.010640999999999678 0.010700999999997407 0.01068300000000022 0.010678799999999456 union_medium SortedSet_Py36 1000000 0.1916089999999997 0.24346599999999796 0.19323099999999727 0.20363479999999753 union_large SortedSet_Py36 100 2.5999999998305157e-05 2.800000000036107e-05 2.69999999957804e-05 2.6799999997706436e-05 union_large SortedSet_Py36 1000 0.00012699999999910005 0.00012900000000115597 0.00012899999999405054 0.00012839999999840755 union_large SortedSet_Py36 10000 0.001041999999998211 0.0011259999999992942 0.001046999999999798 0.0010627999999996973 union_large SortedSet_Py36 100000 0.0157610000000048 0.015945000000002096 0.015790000000002635 0.01583540000000312 union_large SortedSet_Py36 1000000 0.23243099999999828 0.2616419999999948 0.24432600000000093 0.24414439999999898 remove SortedSet_Py36 100 5.000000001587068e-06 5.999999999062311e-06 5.999999999062311e-06 5.6000000000722135e-06 remove SortedSet_Py36 1000 2.1000000003823516e-05 2.2999999998774e-05 2.200000000129876e-05 2.200000000129876e-05 remove SortedSet_Py36 10000 0.00020500000000822638 0.0002190000000013015 0.00020700000000317686 0.00020880000000431665 remove SortedSet_Py36 100000 0.002311000000005947 0.002415999999996643 0.002323000000004072 0.0023427999999995563 remove SortedSet_Py36 1000000 0.030073999999999046 0.03226399999999785 0.030356999999995082 0.030798599999999964 difference_tiny SortedSet_Py36 100 1.2999999995599865e-05 1.6000000002236447e-05 1.3999999993075107e-05 1.3999999995917279e-05 difference_tiny SortedSet_Py36 1000 3.900000000101045e-05 4.0000000012696546e-05 3.900000000101045e-05 3.940000000284272e-05 difference_tiny SortedSet_Py36 10000 0.00030800000000397176 0.0003279999999961092 0.000309000000001447 0.0003126000000008844 difference_tiny SortedSet_Py36 100000 0.0033140000000031478 0.003968000000000416 0.0034320000000036543 0.00352020000000266 difference_tiny SortedSet_Py36 1000000 0.05844199999999944 0.06961599999999635 0.05894399999999678 0.06096919999999954 difference_small SortedSet_Py36 100 1.3999999993075107e-05 1.499999999055035e-05 1.499999999055035e-05 1.4599999994402424e-05 difference_small SortedSet_Py36 1000 4.100000001017179e-05 4.5999999997548e-05 4.200000000764703e-05 4.2800000002785055e-05 difference_small SortedSet_Py36 10000 0.0003279999999961092 0.0003859999999917818 0.00034999999999740794 0.00035299999999836016 difference_small SortedSet_Py36 100000 0.0033629999999931215 0.003494000000003439 0.00337000000000387 0.003416599999999903 difference_small SortedSet_Py36 1000000 0.05931499999999801 0.07024099999999578 0.05996399999999369 0.06265799999999615 difference_medium SortedSet_Py36 100 1.2999999995599865e-05 1.4000000007285962e-05 1.300000000981072e-05 1.3400000005958645e-05 difference_medium SortedSet_Py36 1000 4.799999999249849e-05 4.899999998997373e-05 4.800000000670934e-05 4.820000000052005e-05 difference_medium SortedSet_Py36 10000 0.00038499999999430656 0.00043200000000354066 0.0003870000000034679 0.0003957999999983031 difference_medium SortedSet_Py36 100000 0.004094000000009146 0.004200999999994792 0.004127999999994358 0.004133199999998283 difference_medium SortedSet_Py36 1000000 0.04697099999999921 0.04856700000000558 0.047242999999994595 0.04743939999999895 difference_large SortedSet_Py36 100 1.2999999995599865e-05 1.5000000004761205e-05 1.3999999993075107e-05 1.3999999998759449e-05 difference_large SortedSet_Py36 1000 5.699999999819738e-05 5.899999999314787e-05 5.7999999995672624e-05 5.779999999617757e-05 difference_large SortedSet_Py36 10000 0.00048100000000772525 0.0005290000000002237 0.000484000000000151 0.0004970000000042773 difference_large SortedSet_Py36 100000 0.004860000000007858 0.005376000000012482 0.004875999999995884 0.005008400000002666 difference_large SortedSet_Py36 1000000 0.05714800000001219 0.05862999999999374 0.05752300000000332 0.05767320000000211 difference_update_tiny SortedSet_Py36 100 2.2999999998774e-05 2.4999999993724487e-05 2.3999999996249244e-05 2.3799999996754196e-05 difference_update_tiny SortedSet_Py36 1000 2.599999999119973e-05 2.7000000002885827e-05 2.6000000005410584e-05 2.6199999999221292e-05 difference_update_tiny SortedSet_Py36 10000 2.7000000002885827e-05 2.8999999997836312e-05 2.800000000036107e-05 2.800000000036107e-05 difference_update_tiny SortedSet_Py36 100000 3.900000000101045e-05 4.0999999995960934e-05 3.900000000101045e-05 3.9599999999495596e-05 difference_update_tiny SortedSet_Py36 1000000 4.9000000004184585e-05 5.400000000577165e-05 5.099999999913507e-05 5.120000000431446e-05 difference_update_small SortedSet_Py36 100 2.2999999998774e-05 2.500000000793534e-05 2.3999999996249244e-05 2.3799999999596368e-05 difference_update_small SortedSet_Py36 1000 0.00019999999999242846 0.00020100000000411455 0.0002000000000066393 0.0002003999999971029 difference_update_small SortedSet_Py36 10000 0.001983000000009838 0.0020540000000011105 0.001996000000005438 0.00200500000000261 difference_update_small SortedSet_Py36 100000 0.020722000000006346 0.020955000000000723 0.02089300000000094 0.020853000000002453 difference_update_small SortedSet_Py36 1000000 0.22054700000001048 0.22748799999999392 0.2211149999999975 0.22258300000000303 difference_update_medium SortedSet_Py36 100 1.1999999998124622e-05 2.1000000003823516e-05 1.2000000012335477e-05 1.400000000160162e-05 difference_update_medium SortedSet_Py36 1000 4.9000000004184585e-05 6.700000000137152e-05 6.500000000642103e-05 5.9800000002496745e-05 difference_update_medium SortedSet_Py36 10000 0.00039599999999495594 0.00043399999999849115 0.0003969999999924312 0.0004041999999969903 difference_update_medium SortedSet_Py36 100000 0.0046870000000041045 0.0051149999999893225 0.004763999999994439 0.004821599999999648 difference_update_medium SortedSet_Py36 1000000 0.05687799999999754 0.05886499999999728 0.057165999999995165 0.05758919999999819 difference_update_large SortedSet_Py36 100 1.1999999998124622e-05 1.4000000007285962e-05 1.2999999995599865e-05 1.2799999998946987e-05 difference_update_large SortedSet_Py36 1000 6.199999999978445e-05 6.299999999725969e-05 6.199999999978445e-05 6.239999999877455e-05 difference_update_large SortedSet_Py36 10000 0.0005409999999983484 0.0007679999999936626 0.0005419999999958236 0.0005871999999953915 difference_update_large SortedSet_Py36 100000 0.007141000000004283 0.007441999999997506 0.007282000000003563 0.0072810000000004035 difference_update_large SortedSet_Py36 1000000 0.08699599999999919 0.09773300000000518 0.08746100000000467 0.08949820000000272 intersection_tiny SortedSet_Py36 100 9.999999988963282e-06 1.1999999998124622e-05 1.100000000064938e-05 1.1199999997302257e-05 intersection_tiny SortedSet_Py36 1000 1.1999999998124622e-05 1.3999999993075107e-05 1.2000000012335477e-05 1.2600000002294109e-05 intersection_tiny SortedSet_Py36 10000 1.4000000007285962e-05 1.7999999997186933e-05 1.5000000004761205e-05 1.560000000040418e-05 intersection_tiny SortedSet_Py36 100000 3.100000000699765e-05 3.500000001110948e-05 3.300000000194814e-05 3.300000000194814e-05 intersection_tiny SortedSet_Py36 1000000 4.0999999995960934e-05 4.799999999249849e-05 4.399999998838666e-05 4.3999999996913174e-05 intersection_small SortedSet_Py36 100 1.100000000064938e-05 1.3999999993075107e-05 1.1999999998124622e-05 1.219999999761967e-05 intersection_small SortedSet_Py36 1000 2.200000000129876e-05 2.500000000793534e-05 2.2999999998774e-05 2.3000000001616173e-05 intersection_small SortedSet_Py36 10000 8.099999999444663e-05 9.1999999995096e-05 8.199999999192187e-05 8.359999999925094e-05 intersection_small SortedSet_Py36 100000 0.0007860000000050604 0.0008910000000099672 0.0007910000000066475 0.000815200000005234 intersection_small SortedSet_Py36 1000000 0.009716999999994869 0.010061000000007425 0.009895999999997684 0.009875399999998535 intersection_medium SortedSet_Py36 100 1.300000000981072e-05 1.5000000004761205e-05 1.4000000007285962e-05 1.4200000001096668e-05 intersection_medium SortedSet_Py36 1000 4.800000000670934e-05 5.000000000165983e-05 4.9000000004184585e-05 4.9200000003679636e-05 intersection_medium SortedSet_Py36 10000 0.0003470000000049822 0.00036199999999553256 0.0003489999999999327 0.00035260000000221227 intersection_medium SortedSet_Py36 100000 0.004418000000001143 0.004570000000001073 0.004493999999994003 0.004495000000000004 intersection_medium SortedSet_Py36 1000000 0.05121499999999912 0.05524300000000437 0.051995999999988385 0.052595999999999775 intersection_large SortedSet_Py36 100 1.6000000002236447e-05 1.699999999971169e-05 1.6000000002236447e-05 1.6200000001731495e-05 intersection_large SortedSet_Py36 1000 5.7999999995672624e-05 6.0000000004833964e-05 5.899999999314787e-05 5.8999999995990035e-05 intersection_large SortedSet_Py36 10000 0.0004330000000010159 0.0005220000000036862 0.00043700000000512773 0.0004560000000026321 intersection_large SortedSet_Py36 100000 0.005076999999999998 0.005390000000005557 0.005169999999992569 0.005209800000000086 intersection_large SortedSet_Py36 1000000 0.060156000000006316 0.061664999999990755 0.061029000000004885 0.060972399999999996 intersection_update_tiny SortedSet_Py36 100 7.999999994012796e-06 8.000000008223651e-06 8.000000008223651e-06 8.00000000253931e-06 intersection_update_tiny SortedSet_Py36 1000 1.0000000003174137e-05 1.1999999998124622e-05 1.100000000064938e-05 1.1200000000144427e-05 intersection_update_tiny SortedSet_Py36 10000 3.900000000101045e-05 5.200000001082117e-05 3.999999999848569e-05 4.2400000000952784e-05 intersection_update_tiny SortedSet_Py36 100000 0.0006230000000044811 0.0006280000000060681 0.0006250000000136424 0.0006254000000069481 intersection_update_tiny SortedSet_Py36 1000000 0.006872999999998797 0.0069179999999988695 0.006901999999996633 0.006898999999998523 intersection_update_small SortedSet_Py36 100 6.999999996537554e-06 9.000000005698894e-06 8.000000008223651e-06 7.80000000304426e-06 intersection_update_small SortedSet_Py36 1000 1.7999999997186933e-05 1.8999999994662176e-05 1.7999999997186933e-05 1.839999999617703e-05 intersection_update_small SortedSet_Py36 10000 9.900000000584441e-05 0.0001010000000007949 9.900000000584441e-05 9.98000000038246e-05 intersection_update_small SortedSet_Py36 100000 0.0012609999999995125 0.0012700000000052114 0.0012669999999985748 0.0012661999999977525 intersection_update_small SortedSet_Py36 1000000 0.015464000000008582 0.016472999999990634 0.015579000000002452 0.015733799999998153 intersection_update_medium SortedSet_Py36 100 9.000000005698894e-06 1.0000000003174137e-05 9.000000005698894e-06 9.400000004688991e-06 intersection_update_medium SortedSet_Py36 1000 4.3000000005122274e-05 4.400000000259752e-05 4.400000000259752e-05 4.3800000003102466e-05 intersection_update_medium SortedSet_Py36 10000 0.0003440000000125565 0.0004000000000132786 0.00034599999997908526 0.00035620000000449183 intersection_update_medium SortedSet_Py36 100000 0.00395599999998808 0.004290999999994938 0.004128999999977623 0.0041329999999959455 intersection_update_medium SortedSet_Py36 1000000 0.051510000000007494 0.053095000000013215 0.05166199999999321 0.051948400000003406 intersection_update_large SortedSet_Py36 100 9.000000005698894e-06 1.100000000064938e-05 1.0000000003174137e-05 1.0000000003174137e-05 intersection_update_large SortedSet_Py36 1000 5.1000000013345925e-05 5.29999999798747e-05 5.199999998239946e-05 5.179999999995744e-05 intersection_update_large SortedSet_Py36 10000 0.00041899999999372994 0.00044499999998492967 0.0004220000000145774 0.0004263999999977841 intersection_update_large SortedSet_Py36 100000 0.00471400000000699 0.005170999999990045 0.004808999999994512 0.004848399999997355 intersection_update_large SortedSet_Py36 1000000 0.06204199999999105 0.06297000000000708 0.06271200000000476 0.06257439999999974 symmetric_difference_tiny SortedSet_Py36 100 1.5999999988025593e-05 1.6000000016447302e-05 1.5999999988025593e-05 1.5999999993709936e-05 symmetric_difference_tiny SortedSet_Py36 1000 4.6999999995023245e-05 4.899999998997373e-05 4.799999999249849e-05 4.819999999199354e-05 symmetric_difference_tiny SortedSet_Py36 10000 0.0004130000000088785 0.00045800000000895125 0.00041699999999877946 0.0004242000000033386 symmetric_difference_tiny SortedSet_Py36 100000 0.0045009999999763295 0.004779999999982465 0.004531999999983327 0.004575999999985925 symmetric_difference_tiny SortedSet_Py36 1000000 0.07470499999999447 0.07665199999999572 0.07580500000000256 0.07565459999999576 symmetric_difference_small SortedSet_Py36 100 1.499999999055035e-05 1.7000000013922545e-05 1.5999999988025593e-05 1.5999999993709936e-05 symmetric_difference_small SortedSet_Py36 1000 5.999999999062311e-05 6.099999998809835e-05 6.099999998809835e-05 6.05999999947926e-05 symmetric_difference_small SortedSet_Py36 10000 0.0004179999999962547 0.00048800000001847366 0.00042099999998868043 0.0004428000000075372 symmetric_difference_small SortedSet_Py36 100000 0.004449999999991405 0.005024999999989177 0.004472000000021126 0.00463460000000282 symmetric_difference_small SortedSet_Py36 1000000 0.08676199999999312 0.08854900000000043 0.08747700000000691 0.08762859999999364 symmetric_difference_medium SortedSet_Py36 100 1.499999999055035e-05 1.6000000016447302e-05 1.499999999055035e-05 1.5200000001414083e-05 symmetric_difference_medium SortedSet_Py36 1000 5.600000000072214e-05 5.699999999819738e-05 5.600000000072214e-05 5.6399999999712235e-05 symmetric_difference_medium SortedSet_Py36 10000 0.0005130000000121981 0.000552999999996473 0.0005150000000071486 0.0005220000000065283 symmetric_difference_medium SortedSet_Py36 100000 0.005281999999994014 0.005560000000002674 0.005393999999995458 0.005410999999998012 symmetric_difference_medium SortedSet_Py36 1000000 0.06967799999998192 0.07737900000000764 0.07029499999998734 0.07160759999999869 symmetric_difference_large SortedSet_Py36 100 1.6999999985500835e-05 1.7999999982976078e-05 1.7000000013922545e-05 1.7399999995859618e-05 symmetric_difference_large SortedSet_Py36 1000 8.800000000519503e-05 9.099999999762076e-05 8.900000000267028e-05 8.920000000216533e-05 symmetric_difference_large SortedSet_Py36 10000 0.0006649999999979173 0.0006890000000225882 0.0006669999999928677 0.0006724000000019714 symmetric_difference_large SortedSet_Py36 100000 0.007954999999981283 0.008123999999980924 0.008003999999999678 0.008018399999991743 symmetric_difference_large SortedSet_Py36 1000000 0.1382080000000201 0.16006600000000049 0.13888800000000856 0.14353400000000532 symmetric_difference_update_tiny SortedSet_Py36 100 9.000000005698894e-06 1.0000000003174137e-05 1.0000000003174137e-05 9.799999997994745e-06 symmetric_difference_update_tiny SortedSet_Py36 1000 3.099999997857594e-05 3.100000000699765e-05 3.099999997857594e-05 3.099999998994463e-05 symmetric_difference_update_tiny SortedSet_Py36 10000 0.00024299999998333988 0.00024899999999661304 0.00024500000000671207 0.0002457999999933236 symmetric_difference_update_tiny SortedSet_Py36 100000 0.002491000000020449 0.0025789999999972224 0.0024960000000078253 0.0025220000000047093 symmetric_difference_update_tiny SortedSet_Py36 1000000 0.03814199999999346 0.03859400000001756 0.03841299999999137 0.03840159999999741 symmetric_difference_update_small SortedSet_Py36 100 9.000000005698894e-06 1.1999999998124622e-05 1.0000000003174137e-05 1.0199999996984843e-05 symmetric_difference_update_small SortedSet_Py36 1000 3.300000000194814e-05 3.499999999689862e-05 3.399999999942338e-05 3.419999999891843e-05 symmetric_difference_update_small SortedSet_Py36 10000 0.00026700000000801083 0.0002940000000251075 0.0002690000000029613 0.0002738000000078955 symmetric_difference_update_small SortedSet_Py36 100000 0.00273799999999369 0.0028709999999989577 0.0027510000000177115 0.0027884000000028665 symmetric_difference_update_small SortedSet_Py36 1000000 0.0418149999999855 0.04510999999999399 0.042479000000014366 0.04288139999999885 symmetric_difference_update_medium SortedSet_Py36 100 1.2999999995599865e-05 1.500000001897206e-05 1.4000000021496817e-05 1.4000000010128134e-05 symmetric_difference_update_medium SortedSet_Py36 1000 5.8000000024094334e-05 6.000000001904482e-05 5.999999999062311e-05 5.940000000350665e-05 symmetric_difference_update_medium SortedSet_Py36 10000 0.00039799999998990643 0.0004549999999881038 0.0003999999999848569 0.00041239999999334034 symmetric_difference_update_medium SortedSet_Py36 100000 0.0045769999999834 0.004667000000011967 0.004629999999991696 0.004621599999995851 symmetric_difference_update_medium SortedSet_Py36 1000000 0.05703099999999495 0.062460000000015725 0.057249000000012984 0.059215200000005554 symmetric_difference_update_large SortedSet_Py36 100 1.1999999998124622e-05 1.3999999993075107e-05 1.1999999998124622e-05 1.2599999996609767e-05 symmetric_difference_update_large SortedSet_Py36 1000 7.80000000020209e-05 7.999999999697138e-05 7.80000000020209e-05 7.860000000050604e-05 symmetric_difference_update_large SortedSet_Py36 10000 0.0006549999999947431 0.0008609999999862339 0.0006970000000023902 0.000735599999995884 symmetric_difference_update_large SortedSet_Py36 100000 0.007234000000011065 0.008128999999996722 0.007833000000005086 0.007774399999999559 symmetric_difference_update_large SortedSet_Py36 1000000 0.11378400000000966 0.12706099999999765 0.11403100000001132 0.11671660000001224 pop SortedSet_Py36 100 4.9999999873762135e-06 6.000000013273166e-06 4.9999999873762135e-06 5.3999999920506525e-06 pop SortedSet_Py36 1000 1.7999999982976078e-05 2.0000000006348273e-05 1.8000000011397788e-05 1.8599999998514248e-05 pop SortedSet_Py36 10000 0.0001420000000109667 0.0001469999999983429 0.00014500000000339242 0.00014459999999871798 pop SortedSet_Py36 100000 0.0014299999999991542 0.0014930000000106247 0.0014409999999998035 0.0014488000000028479 pop SortedSet_Py36 1000000 0.014795000000020764 0.019193999999998823 0.014992000000006556 0.015787400000004937 init SortedSet_Py36 100 1.1999999998124622e-05 1.3999999993075107e-05 1.2999999995599865e-05 1.2999999995599865e-05 init SortedSet_Py36 1000 4.999999998744897e-05 5.1000000013345925e-05 5.0999999984924216e-05 5.060000000298714e-05 init SortedSet_Py36 10000 0.0005809999999826232 0.0006099999999946704 0.0006030000000123437 0.0005966000000000804 init SortedSet_Py36 100000 0.0072119999999813444 0.007978000000008478 0.007873999999986836 0.007752999999991061 init SortedSet_Py36 1000000 0.14299099999999498 0.16222799999999893 0.15913299999999708 0.1540655999999899 contains SortedSet_Py27 100 1.9999999985e-06 3.99999999878e-06 2.99999999953e-06 2.79999999933e-06 contains SortedSet_Py27 1000 5.99999999906e-06 6.00000000084e-06 5.99999999906e-06 5.99999999977e-06 contains SortedSet_Py27 10000 3.00000000006e-05 3.10000000017e-05 3.09999999999e-05 3.08000000004e-05 contains SortedSet_Py27 100000 0.000359 0.000363 0.000362000000001 0.0003612 contains SortedSet_Py27 1000000 0.004623 0.005374 0.00467 0.004809 iter SortedSet_Py27 100 2.29999999988e-05 2.39999999998e-05 2.30000000006e-05 2.33999999995e-05 iter SortedSet_Py27 1000 0.00019 0.00019 0.00019 0.00019 iter SortedSet_Py27 10000 0.002363 0.002454 0.002373 0.0023928 iter SortedSet_Py27 100000 0.018046 0.01837 0.018107 0.0181624 iter SortedSet_Py27 1000000 0.183445 0.190668 0.183781 0.1853854 add SortedSet_Py27 100 5.99999999906e-06 8.00000000112e-06 8.00000000112e-06 7.2000000003e-06 add SortedSet_Py27 1000 3.50000000005e-05 3.60000000015e-05 3.50000000005e-05 3.52000000007e-05 add SortedSet_Py27 10000 0.000292999999999 0.000295999999999 0.000293000000003 0.000294 add SortedSet_Py27 100000 0.00312 0.003153 0.003139 0.0031348 add SortedSet_Py27 1000000 0.032228 0.032632 0.032564 0.032486 update_tiny SortedSet_Py27 100 2.99999999989e-05 3.20000000009e-05 3.00000000024e-05 3.07999999997e-05 update_tiny SortedSet_Py27 1000 3.00000000024e-05 3.29999999984e-05 3.09999999999e-05 3.12000000008e-05 update_tiny SortedSet_Py27 10000 3.09999999999e-05 3.20000000009e-05 3.09999999999e-05 3.13999999996e-05 update_tiny SortedSet_Py27 100000 4.30000000016e-05 4.3999999999e-05 4.3999999999e-05 4.37999999995e-05 update_tiny SortedSet_Py27 1000000 5.40000000022e-05 6.80000000024e-05 5.60000000007e-05 5.84000000018e-05 update_small SortedSet_Py27 100 2.89999999978e-05 3.00000000024e-05 2.90000000014e-05 2.93999999997e-05 update_small SortedSet_Py27 1000 0.000242 0.000250000000001 0.000245 0.0002456 update_small SortedSet_Py27 10000 0.002454 0.002648 0.002471 0.0025148 update_small SortedSet_Py27 100000 0.024567 0.025034 0.02485 0.024797 update_small SortedSet_Py27 1000000 0.275897 0.278125 0.277222 0.277002 update_medium SortedSet_Py27 100 1.49999999977e-05 1.60000000022e-05 1.50000000048e-05 1.54000000009e-05 update_medium SortedSet_Py27 1000 6.49999999993e-05 7.50000000025e-05 6.69999999943e-05 6.80000000003e-05 update_medium SortedSet_Py27 10000 0.000486000000002 0.000502000000004 0.000489000000002 0.0004912 update_medium SortedSet_Py27 100000 0.004888 0.00507500000001 0.004969 0.0049786 update_medium SortedSet_Py27 1000000 0.105556 0.140121 0.106602 0.1139584 update_large SortedSet_Py27 100 1.69999999997e-05 1.90000000018e-05 1.69999999997e-05 1.74000000001e-05 update_large SortedSet_Py27 1000 8.10000000016e-05 0.000109000000002 8.20000000061e-05 9.22000000017e-05 update_large SortedSet_Py27 10000 0.000713999999995 0.000864 0.000717999999999 0.000745799999999 update_large SortedSet_Py27 100000 0.008882 0.009358 0.008968 0.0090736 update_large SortedSet_Py27 1000000 0.142424 0.166635 0.144658 0.1522674 union_tiny SortedSet_Py27 100 2.89999999978e-05 3.39999999994e-05 3.00000000024e-05 3.08000000004e-05 union_tiny SortedSet_Py27 1000 7.69999999974e-05 7.89999999995e-05 7.79999999949e-05 7.79999999978e-05 union_tiny SortedSet_Py27 10000 0.000601000000003 0.000734999999999 0.000605999999998 0.000651599999998 union_tiny SortedSet_Py27 100000 0.00627100000001 0.006842 0.006334 0.0064454 union_tiny SortedSet_Py27 1000000 0.115892 0.117292 0.117084 0.1168304 union_small SortedSet_Py27 100 2.80000000004e-05 3.19999999974e-05 3.00000000024e-05 2.98000000001e-05 union_small SortedSet_Py27 1000 8.40000000011e-05 8.60000000031e-05 8.50000000057e-05 8.52000000023e-05 union_small SortedSet_Py27 10000 0.000663000000003 0.000861 0.000698999999997 0.000722599999999 union_small SortedSet_Py27 100000 0.007032 0.007584 0.00711 0.0072124 union_small SortedSet_Py27 1000000 0.140198 0.143336 0.14121 0.1415658 union_medium SortedSet_Py27 100 3.09999999999e-05 3.30000000019e-05 3.09999999999e-05 3.14000000003e-05 union_medium SortedSet_Py27 1000 0.000121 0.000123000000002 0.000123000000002 0.000122400000001 union_medium SortedSet_Py27 10000 0.000886999999999 0.001099 0.000889999999998 0.000954799999998 union_medium SortedSet_Py27 100000 0.010979 0.011338 0.011064 0.0111006 union_medium SortedSet_Py27 1000000 0.204699 0.240903 0.205378 0.2122438 union_large SortedSet_Py27 100 3.29999999948e-05 3.59999999944e-05 3.39999999994e-05 3.39999999966e-05 union_large SortedSet_Py27 1000 0.000147000000005 0.000198999999995 0.000149999999998 0.0001598 union_large SortedSet_Py27 10000 0.00122 0.001269 0.00122500000001 0.0012352 union_large SortedSet_Py27 100000 0.015492 0.017834 0.01583 0.0161792 union_large SortedSet_Py27 1000000 0.237836 0.241 0.239192 0.2392684 remove SortedSet_Py27 100 5.99999999906e-06 7.00000000364e-06 6.00000000617e-06 6.40000000089e-06 remove SortedSet_Py27 1000 3.20000000045e-05 3.40000000065e-05 3.30000000019e-05 3.32000000029e-05 remove SortedSet_Py27 10000 0.000301999999998 0.000395000000005 0.000304 0.0003248 remove SortedSet_Py27 100000 0.003311 0.003396 0.003369 0.0033614 remove SortedSet_Py27 1000000 0.041089 0.041976 0.041333 0.0414656 difference_tiny SortedSet_Py27 100 1.79999999972e-05 2.00000000063e-05 1.79999999972e-05 1.84000000019e-05 difference_tiny SortedSet_Py27 1000 4.29999999909e-05 5.60000000007e-05 4.40000000026e-05 4.60000000004e-05 difference_tiny SortedSet_Py27 10000 0.000326000000001 0.000333999999995 0.000332 0.0003308 difference_tiny SortedSet_Py27 100000 0.003248 0.003443 0.003309 0.0033168 difference_tiny SortedSet_Py27 1000000 0.066127 0.07723 0.075872 0.072511 difference_small SortedSet_Py27 100 1.69999999997e-05 1.89999999947e-05 1.79999999972e-05 1.79999999972e-05 difference_small SortedSet_Py27 1000 4.40000000026e-05 4.59999999975e-05 4.50000000001e-05 4.50000000001e-05 difference_small SortedSet_Py27 10000 0.000336999999988 0.000339000000011 0.000337999999999 0.000337999999996 difference_small SortedSet_Py27 100000 0.003286 0.003349 0.003298 0.0033074 difference_small SortedSet_Py27 1000000 0.064271 0.073431 0.065263 0.0666918 difference_medium SortedSet_Py27 100 1.69999999997e-05 1.80000000114e-05 1.79999999972e-05 1.7600000001e-05 difference_medium SortedSet_Py27 1000 4.90000000042e-05 5.00000000017e-05 5.00000000017e-05 4.97999999993e-05 difference_medium SortedSet_Py27 10000 0.00035299999999 0.000388999999998 0.000353999999987 0.000362399999997 difference_medium SortedSet_Py27 100000 0.00362700000001 0.00394200000001 0.003857 0.0037998 difference_medium SortedSet_Py27 1000000 0.047003 0.053001 0.047232 0.0493392 difference_large SortedSet_Py27 100 1.89999999947e-05 2.00000000063e-05 1.90000000089e-05 1.92000000027e-05 difference_large SortedSet_Py27 1000 5.29999999941e-05 6.50000000064e-05 5.39999999916e-05 5.61999999974e-05 difference_large SortedSet_Py27 10000 0.000393000000003 0.000433000000001 0.000395999999995 0.000403000000003 difference_large SortedSet_Py27 100000 0.00396500000001 0.004274 0.004053 0.004084 difference_large SortedSet_Py27 1000000 0.051214 0.052124 0.051805 0.0516558 difference_update_tiny SortedSet_Py27 100 3.49999999969e-05 3.60000000086e-05 3.49999999969e-05 3.54000000016e-05 difference_update_tiny SortedSet_Py27 1000 3.60000000086e-05 3.70000000061e-05 3.60000000086e-05 3.64000000076e-05 difference_update_tiny SortedSet_Py27 10000 3.9000000001e-05 5.19999999966e-05 3.99999999985e-05 4.23999999981e-05 difference_update_tiny SortedSet_Py27 100000 5.19999999966e-05 6.49999999922e-05 5.19999999966e-05 5.49999999976e-05 difference_update_tiny SortedSet_Py27 1000000 6.19999999998e-05 7.60000000071e-05 6.59999999897e-05 6.71999999952e-05 difference_update_small SortedSet_Py27 100 3.59999999944e-05 3.70000000061e-05 3.60000000086e-05 3.62000000052e-05 difference_update_small SortedSet_Py27 1000 0.000304 0.000310000000013 0.000304 0.000305600000002 difference_update_small SortedSet_Py27 10000 0.003011 0.00330200000001 0.00307400000001 0.0031062 difference_update_small SortedSet_Py27 100000 0.031664 0.032028 0.03184 0.0318518 difference_update_small SortedSet_Py27 1000000 0.319529 0.322695 0.321109 0.3210356 difference_update_medium SortedSet_Py27 100 1.29999999956e-05 1.49999999906e-05 1.29999999956e-05 1.35999999969e-05 difference_update_medium SortedSet_Py27 1000 5.20000000108e-05 5.30000000083e-05 5.29999999941e-05 5.28000000031e-05 difference_update_medium SortedSet_Py27 10000 0.000382000000002 0.000464000000008 0.000382999999999 0.000399200000004 difference_update_medium SortedSet_Py27 100000 0.003823 0.003839 0.003829 0.003831 difference_update_medium SortedSet_Py27 1000000 0.051229 0.055509 0.051687 0.0528536 difference_update_large SortedSet_Py27 100 1.50000000048e-05 1.69999999997e-05 1.60000000022e-05 1.60000000022e-05 difference_update_large SortedSet_Py27 1000 6.10000000023e-05 9.99999999891e-05 6.29999999973e-05 6.99999999966e-05 difference_update_large SortedSet_Py27 10000 0.000495999999998 0.000602000000001 0.000503000000009 0.000530400000002 difference_update_large SortedSet_Py27 100000 0.005387 0.00570699999999 0.005533 0.005553 difference_update_large SortedSet_Py27 1000000 0.071701 0.082357 0.072165 0.0741436 intersection_tiny SortedSet_Py27 100 1.5999999988e-05 1.69999999997e-05 1.60000000022e-05 1.61999999989e-05 intersection_tiny SortedSet_Py27 1000 1.5999999988e-05 1.69999999997e-05 1.69999999997e-05 1.65999999979e-05 intersection_tiny SortedSet_Py27 10000 1.69999999997e-05 2.39999999962e-05 1.89999999947e-05 1.93999999993e-05 intersection_tiny SortedSet_Py27 100000 3.39999999994e-05 3.99999999985e-05 3.59999999944e-05 3.6399999999e-05 intersection_tiny SortedSet_Py27 1000000 5.09999999991e-05 5.30000000083e-05 5.19999999966e-05 5.20000000023e-05 intersection_small SortedSet_Py27 100 1.39999999931e-05 1.69999999997e-05 1.50000000048e-05 1.52000000014e-05 intersection_small SortedSet_Py27 1000 2.49999999937e-05 2.50000000079e-05 2.49999999937e-05 2.49999999994e-05 intersection_small SortedSet_Py27 10000 7.89999999995e-05 8.29999999894e-05 8.10000000087e-05 8.10000000001e-05 intersection_small SortedSet_Py27 100000 0.000816999999998 0.000849000000002 0.000828000000013 0.000833400000005 intersection_small SortedSet_Py27 1000000 0.007722 0.009255 0.00851300000001 0.008446 intersection_medium SortedSet_Py27 100 1.79999999972e-05 2.00000000063e-05 1.80000000114e-05 1.86000000014e-05 intersection_medium SortedSet_Py27 1000 5.00000000017e-05 7.40000000121e-05 6.60000000039e-05 6.14000000041e-05 intersection_medium SortedSet_Py27 10000 0.000330999999989 0.000351999999992 0.000332 0.000335799999996 intersection_medium SortedSet_Py27 100000 0.003213 0.00325699999999 0.003218 0.0032246 intersection_medium SortedSet_Py27 1000000 0.039084 0.044595 0.039402 0.0405954 intersection_large SortedSet_Py27 100 1.79999999972e-05 1.90000000089e-05 1.89999999947e-05 1.88000000009e-05 intersection_large SortedSet_Py27 1000 5.29999999941e-05 5.80000000099e-05 5.50000000032e-05 5.52000000027e-05 intersection_large SortedSet_Py27 10000 0.000386000000006 0.000469999999993 0.000388999999998 0.000407000000001 intersection_large SortedSet_Py27 100000 0.00402 0.004085 0.00403 0.0040474 intersection_large SortedSet_Py27 1000000 0.042978 0.043396 0.043218 0.0432042 intersection_update_tiny SortedSet_Py27 100 9.0000000057e-06 1.19999999981e-05 1.00000000032e-05 1.04000000022e-05 intersection_update_tiny SortedSet_Py27 1000 1.29999999956e-05 1.40000000073e-05 1.39999999931e-05 1.36000000026e-05 intersection_update_tiny SortedSet_Py27 10000 3.9000000001e-05 5.09999999991e-05 3.99999999985e-05 4.2000000002e-05 intersection_update_tiny SortedSet_Py27 100000 0.000565999999992 0.000614999999996 0.000573000000003 0.000584599999999 intersection_update_tiny SortedSet_Py27 1000000 0.00615500000001 0.006404 0.006227 0.0062544 intersection_update_small SortedSet_Py27 100 1.00000000032e-05 1.19999999981e-05 1.10000000006e-05 1.10000000006e-05 intersection_update_small SortedSet_Py27 1000 1.99999999921e-05 2.10000000038e-05 2.00000000063e-05 2.04000000025e-05 intersection_update_small SortedSet_Py27 10000 9.29999999926e-05 9.49999999875e-05 9.29999999926e-05 9.35999999939e-05 intersection_update_small SortedSet_Py27 100000 0.001169 0.001226 0.001175 0.0011848 intersection_update_small SortedSet_Py27 1000000 0.012953 0.013667 0.013135 0.0132662 intersection_update_medium SortedSet_Py27 100 1.10000000006e-05 1.29999999956e-05 1.19999999981e-05 1.18000000015e-05 intersection_update_medium SortedSet_Py27 1000 4.30000000051e-05 5.79999999957e-05 5.09999999991e-05 5.06000000001e-05 intersection_update_medium SortedSet_Py27 10000 0.00031899999999 0.000331999999986 0.000320000000002 0.000322399999993 intersection_update_medium SortedSet_Py27 100000 0.00312799999999 0.003135 0.00313 0.0031312 intersection_update_medium SortedSet_Py27 1000000 0.040461 0.045419 0.041098 0.0418866 intersection_update_large SortedSet_Py27 100 1.19999999981e-05 1.39999999931e-05 1.19999999981e-05 1.25999999966e-05 intersection_update_large SortedSet_Py27 1000 4.50000000001e-05 4.70000000092e-05 4.6999999995e-05 4.62000000027e-05 intersection_update_large SortedSet_Py27 10000 0.000357999999991 0.000427999999999 0.000360000000001 0.0003728 intersection_update_large SortedSet_Py27 100000 0.00354799999999 0.00358899999999 0.00355599999999 0.00356239999999 intersection_update_large SortedSet_Py27 1000000 0.044688 0.050869 0.045457 0.0463872 symmetric_difference_tiny SortedSet_Py27 100 1.89999999805e-05 2.10000000038e-05 1.90000000089e-05 1.9599999996e-05 symmetric_difference_tiny SortedSet_Py27 1000 4.79999999925e-05 5.00000000159e-05 4.899999999e-05 4.90000000013e-05 symmetric_difference_tiny SortedSet_Py27 10000 0.000380999999976 0.000434999999982 0.000382000000002 0.000395399999996 symmetric_difference_tiny SortedSet_Py27 100000 0.00402200000002 0.00412800000001 0.00409099999999 0.0040768 symmetric_difference_tiny SortedSet_Py27 1000000 0.079321 0.090929 0.079403 0.0820136 symmetric_difference_small SortedSet_Py27 100 1.99999999779e-05 2.29999999988e-05 2.10000000038e-05 2.13999999971e-05 symmetric_difference_small SortedSet_Py27 1000 5.20000000108e-05 7.50000000096e-05 5.39999999773e-05 5.75999999967e-05 symmetric_difference_small SortedSet_Py27 10000 0.000400999999982 0.000533999999988 0.000410999999986 0.000435599999992 symmetric_difference_small SortedSet_Py27 100000 0.00426899999999 0.00451800000002 0.00428300000002 0.00435360000001 symmetric_difference_small SortedSet_Py27 1000000 0.080703 0.082265 0.081507 0.0814692 symmetric_difference_medium SortedSet_Py27 100 1.80000000114e-05 1.90000000089e-05 1.89999999805e-05 1.87999999923e-05 symmetric_difference_medium SortedSet_Py27 1000 5.50000000032e-05 5.60000000007e-05 5.60000000007e-05 5.56000000017e-05 symmetric_difference_medium SortedSet_Py27 10000 0.000440999999995 0.000534999999985 0.000457000000011 0.0004682 symmetric_difference_medium SortedSet_Py27 100000 0.00463500000001 0.005439 0.00468600000002 0.00483400000001 symmetric_difference_medium SortedSet_Py27 1000000 0.057638 0.062435 0.058028 0.0589886 symmetric_difference_large SortedSet_Py27 100 1.99999999779e-05 2.20000000013e-05 1.99999999779e-05 2.03999999826e-05 symmetric_difference_large SortedSet_Py27 1000 8.49999999843e-05 9.70000000109e-05 8.89999999742e-05 8.91999999908e-05 symmetric_difference_large SortedSet_Py27 10000 0.000606000000005 0.000732999999997 0.000609999999995 0.000633799999997 symmetric_difference_large SortedSet_Py27 100000 0.00625299999999 0.00639699999999 0.00630200000001 0.0063148 symmetric_difference_large SortedSet_Py27 1000000 0.123149 0.124088 0.123753 0.1236794 symmetric_difference_update_tiny SortedSet_Py27 100 1.19999999981e-05 1.39999999931e-05 1.29999999956e-05 1.27999999961e-05 symmetric_difference_update_tiny SortedSet_Py27 1000 3.00000000095e-05 3.1000000007e-05 3.1000000007e-05 3.08000000075e-05 symmetric_difference_update_tiny SortedSet_Py27 10000 0.000226999999995 0.000248999999997 0.00022899999999 0.000234999999998 symmetric_difference_update_tiny SortedSet_Py27 100000 0.002172 0.002205 0.002182 0.00218740000001 symmetric_difference_update_tiny SortedSet_Py27 1000000 0.038917 0.044917 0.039574 0.0405982 symmetric_difference_update_small SortedSet_Py27 100 1.10000000006e-05 1.29999999956e-05 1.29999999956e-05 1.23999999971e-05 symmetric_difference_update_small SortedSet_Py27 1000 3.19999999761e-05 3.49999999969e-05 3.39999999994e-05 3.37999999942e-05 symmetric_difference_update_small SortedSet_Py27 10000 0.000249000000025 0.000267999999977 0.000250000000023 0.000253400000008 symmetric_difference_update_small SortedSet_Py27 100000 0.002464 0.00255799999999 0.002476 0.0024904 symmetric_difference_update_small SortedSet_Py27 1000000 0.0413 0.048617 0.042341 0.0432434 symmetric_difference_update_medium SortedSet_Py27 100 1.29999999956e-05 1.40000000215e-05 1.3000000024e-05 1.3400000006e-05 symmetric_difference_update_medium SortedSet_Py27 1000 4.20000000076e-05 5.19999999824e-05 4.40000000026e-05 4.51999999996e-05 symmetric_difference_update_medium SortedSet_Py27 10000 0.000316999999995 0.000337999999999 0.000317000000024 0.000321400000001 symmetric_difference_update_medium SortedSet_Py27 100000 0.00351499999999 0.00403200000002 0.00401299999999 0.0039178 symmetric_difference_update_medium SortedSet_Py27 1000000 0.044002 0.052146 0.04553 0.046695 symmetric_difference_update_large SortedSet_Py27 100 1.39999999931e-05 1.5999999988e-05 1.49999999906e-05 1.49999999962e-05 symmetric_difference_update_large SortedSet_Py27 1000 6.30000000115e-05 6.59999999755e-05 6.50000000064e-05 6.48000000012e-05 symmetric_difference_update_large SortedSet_Py27 10000 0.000518 0.00058199999998 0.000526000000008 0.000535999999994 symmetric_difference_update_large SortedSet_Py27 100000 0.005798 0.00702800000002 0.00581200000002 0.0060714 symmetric_difference_update_large SortedSet_Py27 1000000 0.094951 0.110471 0.106582 0.1037584 pop SortedSet_Py27 100 5.99999998485e-06 6.99999998233e-06 5.99999998485e-06 6.19999999003e-06 pop SortedSet_Py27 1000 2.69999999887e-05 2.80000000146e-05 2.70000000171e-05 2.74000000047e-05 pop SortedSet_Py27 10000 0.000237999999996 0.000241000000017 0.000239999999991 0.000239599999998 pop SortedSet_Py27 100000 0.002343 0.002408 0.00236100000001 0.0023674 pop SortedSet_Py27 1000000 0.023763 0.02405 0.023872 0.0238928 init SortedSet_Py27 100 1.49999999906e-05 1.70000000139e-05 1.60000000164e-05 1.62000000046e-05 init SortedSet_Py27 1000 5.60000000007e-05 5.79999999957e-05 5.60000000007e-05 5.63999999997e-05 init SortedSet_Py27 10000 0.000596000000002 0.000630000000001 0.000601999999986 0.000607600000001 init SortedSet_Py27 100000 0.00771 0.00814 0.00778100000002 0.007827 init SortedSet_Py27 1000000 0.161955 0.178029 0.162649 0.1669736 contains SortedSet_PyPy 100 5.00000000003e-06 5.99999999995e-06 5.00000000003e-06 5.20000000002e-06 contains SortedSet_PyPy 1000 1.2e-05 1.89999999999e-05 1.8e-05 1.68e-05 contains SortedSet_PyPy 10000 3.8e-05 5.19999999999e-05 4.6e-05 4.54e-05 contains SortedSet_PyPy 100000 6.29999999999e-05 7.49999999999e-05 6.99999999999e-05 6.94e-05 contains SortedSet_PyPy 1000000 0.000474 0.000528 0.000487 0.0004926 iter SortedSet_PyPy 100 5.80000000001e-05 6.10000000005e-05 5.99999999995e-05 5.96e-05 iter SortedSet_PyPy 1000 2.69999999998e-05 3.09999999999e-05 2.69999999998e-05 2.79999999998e-05 iter SortedSet_PyPy 10000 0.000146 0.000178 0.000149 0.0001566 iter SortedSet_PyPy 100000 0.000903000000001 0.002115 0.001375 0.0014282 iter SortedSet_PyPy 1000000 0.007539 0.008432 0.007953 0.0079866 add SortedSet_PyPy 100 1.19999999999e-05 1.20000000008e-05 1.19999999999e-05 1.20000000003e-05 add SortedSet_PyPy 1000 6.79999999997e-05 6.89999999999e-05 6.80000000006e-05 6.84e-05 add SortedSet_PyPy 10000 0.000701 0.001263 0.001155 0.0010224 add SortedSet_PyPy 100000 0.000688999999999 0.006665 0.000753 0.0020274 add SortedSet_PyPy 1000000 0.005873 0.006259 0.006203 0.0061386 update_tiny SortedSet_PyPy 100 4.70000000004e-05 4.99999999999e-05 4.80000000005e-05 4.82000000003e-05 update_tiny SortedSet_PyPy 1000 4.89999999989e-05 5.00000000008e-05 4.90000000006e-05 4.94e-05 update_tiny SortedSet_PyPy 10000 5.30000000003e-05 6.50000000002e-05 5.40000000004e-05 5.68000000003e-05 update_tiny SortedSet_PyPy 100000 7.70000000001e-05 0.000477 8.40000000011e-05 0.0001664 update_tiny SortedSet_PyPy 1000000 7.89999999995e-05 8.30000000001e-05 8.29999999992e-05 8.15999999997e-05 update_small SortedSet_PyPy 100 4.39999999999e-05 4.70000000004e-05 4.50000000001e-05 4.54e-05 update_small SortedSet_PyPy 1000 0.000275 0.000911 0.000322000000001 0.0004224 update_small SortedSet_PyPy 10000 0.000318 0.000522 0.000377 0.0003968 update_small SortedSet_PyPy 100000 0.002756 0.003415 0.002837 0.002925 update_small SortedSet_PyPy 1000000 0.03608 0.046728 0.036962 0.039413 update_medium SortedSet_PyPy 100 2.69999999993e-05 4.00000000003e-05 2.89999999996e-05 3.09999999995e-05 update_medium SortedSet_PyPy 1000 5.29999999994e-05 6.40000000001e-05 5.49999999997e-05 5.64000000001e-05 update_medium SortedSet_PyPy 10000 0.000576000000001 0.000729 0.000591999999999 0.0006176 update_medium SortedSet_PyPy 100000 0.007468 0.010733 0.00811 0.00875 update_medium SortedSet_PyPy 1000000 0.100712 0.113253 0.104547 0.1062844 update_large SortedSet_PyPy 100 2.89999999978e-05 3.09999999999e-05 3.09999999981e-05 3.03999999989e-05 update_large SortedSet_PyPy 1000 7.2000000003e-05 7.89999999995e-05 7.39999999997e-05 7.44000000001e-05 update_large SortedSet_PyPy 10000 0.000627999999999 0.001969 0.000756000000001 0.0009732 update_large SortedSet_PyPy 100000 0.012223 0.017555 0.016855 0.0159444 update_large SortedSet_PyPy 1000000 0.180086 0.185386 0.181239 0.1822394 union_tiny SortedSet_PyPy 100 6.2999999999e-05 0.000550999999998 8.59999999996e-05 0.000244199999999 union_tiny SortedSet_PyPy 1000 9.80000000013e-05 0.000133999999999 0.000108000000001 0.000114200000001 union_tiny SortedSet_PyPy 10000 0.000612 0.000967000000001 0.000797000000002 0.000766800000001 union_tiny SortedSet_PyPy 100000 0.008592 0.026443 0.011463 0.0146432 union_tiny SortedSet_PyPy 1000000 0.128392 0.143635 0.133114 0.1356498 union_small SortedSet_PyPy 100 6.49999999993e-05 6.89999999999e-05 6.60000000003e-05 6.67999999997e-05 union_small SortedSet_PyPy 1000 9.59999999992e-05 0.000108000000001 9.90000000023e-05 0.000101400000001 union_small SortedSet_PyPy 10000 0.000663000000003 0.000951000000001 0.000875000000001 0.000838800000001 union_small SortedSet_PyPy 100000 0.009494 0.032461 0.009864 0.0143304 union_small SortedSet_PyPy 1000000 0.132622 0.133962 0.132819 0.1331458 union_medium SortedSet_PyPy 100 6.00000000013e-05 6.10000000023e-05 6.09999999988e-05 6.08e-05 union_medium SortedSet_PyPy 1000 0.000113000000002 0.00027 0.000115000000001 0.000147800000001 union_medium SortedSet_PyPy 10000 0.000928000000002 0.001202 0.001042 0.0010556 union_medium SortedSet_PyPy 100000 0.01365 0.019968 0.016619 0.016625 union_medium SortedSet_PyPy 1000000 0.159531 0.207724 0.160058 0.1734108 union_large SortedSet_PyPy 100 6.30000000008e-05 6.80000000024e-05 6.39999999983e-05 6.44000000015e-05 union_large SortedSet_PyPy 1000 0.000128999999998 0.000189999999996 0.000131000000003 0.000143199999999 union_large SortedSet_PyPy 10000 0.00108 0.004335 0.001325 0.0018482 union_large SortedSet_PyPy 100000 0.018482 0.026044 0.021454 0.0221342 union_large SortedSet_PyPy 1000000 0.211149 0.267422 0.262163 0.253526 remove SortedSet_PyPy 100 1.29999999992e-05 1.40000000002e-05 1.30000000027e-05 1.34000000003e-05 remove SortedSet_PyPy 1000 6.60000000003e-05 6.89999999999e-05 6.80000000024e-05 6.76000000006e-05 remove SortedSet_PyPy 10000 0.000416000000001 0.00138 0.000420999999999 0.0006916 remove SortedSet_PyPy 100000 0.000630000000001 0.010016 0.0052 0.004685 remove SortedSet_PyPy 1000000 0.008404 0.009317 0.008743 0.008819 difference_tiny SortedSet_PyPy 100 3.39999999994e-05 3.6999999999e-05 3.59999999979e-05 3.55999999989e-05 difference_tiny SortedSet_PyPy 1000 4.09999999995e-05 4.20000000005e-05 4.20000000005e-05 4.18000000003e-05 difference_tiny SortedSet_PyPy 10000 0.000171999999999 0.001394 0.000197 0.0004346 difference_tiny SortedSet_PyPy 100000 0.000826 0.003741 0.003313 0.0025872 difference_tiny SortedSet_PyPy 1000000 0.015294 0.031493 0.018189 0.0203604 difference_small SortedSet_PyPy 100 3.30000000019e-05 3.50000000005e-05 3.49999999969e-05 3.44000000005e-05 difference_small SortedSet_PyPy 1000 4.3999999999e-05 4.69999999986e-05 4.60000000011e-05 4.58000000002e-05 difference_small SortedSet_PyPy 10000 0.000121999999998 0.000216999999999 0.000197999999997 0.000186199999999 difference_small SortedSet_PyPy 100000 0.00111 0.00343 0.00283 0.0025946 difference_small SortedSet_PyPy 1000000 0.023952 0.036767 0.031179 0.030782 difference_medium SortedSet_PyPy 100 3.79999999964e-05 3.9000000001e-05 3.80000000035e-05 3.84000000004e-05 difference_medium SortedSet_PyPy 1000 5.69999999982e-05 8.90000000027e-05 5.79999999992e-05 6.40000000004e-05 difference_medium SortedSet_PyPy 10000 0.000304 0.000505999999998 0.000316999999999 0.000373799999999 difference_medium SortedSet_PyPy 100000 0.004836 0.007573 0.006322 0.0064862 difference_medium SortedSet_PyPy 1000000 0.056428 0.081614 0.071122 0.0706004 difference_large SortedSet_PyPy 100 3.80000000035e-05 3.99999999985e-05 3.89999999939e-05 3.88000000001e-05 difference_large SortedSet_PyPy 1000 6.90000000034e-05 7.30000000004e-05 7.00000000009e-05 7.08000000017e-05 difference_large SortedSet_PyPy 10000 0.000377999999998 0.000645999999996 0.000573000000003 0.000542199999998 difference_large SortedSet_PyPy 100000 0.007176 0.010108 0.007849 0.0085228 difference_large SortedSet_PyPy 1000000 0.090303 0.111684 0.103069 0.1028624 difference_update_tiny SortedSet_PyPy 100 6.39999999947e-05 7.19999999959e-05 6.49999999993e-05 6.63999999972e-05 difference_update_tiny SortedSet_PyPy 1000 3.6999999999e-05 3.99999999985e-05 3.80000000035e-05 3.83999999997e-05 difference_update_tiny SortedSet_PyPy 10000 4.30000000051e-05 5.90000000003e-05 4.59999999975e-05 4.8000000001e-05 difference_update_tiny SortedSet_PyPy 100000 7.09999999984e-05 7.70000000045e-05 7.39999999979e-05 7.38000000013e-05 difference_update_tiny SortedSet_PyPy 1000000 6.99999999938e-05 7.8000000002e-05 7.39999999979e-05 7.42000000002e-05 difference_update_small SortedSet_PyPy 100 5.99999999977e-05 6.30000000044e-05 6.10000000023e-05 6.12000000004e-05 difference_update_small SortedSet_PyPy 1000 0.000241000000003 0.000247000000002 0.000245000000007 0.000244400000004 difference_update_small SortedSet_PyPy 10000 0.000368000000002 0.003155 0.000408 0.000944799999999 difference_update_small SortedSet_PyPy 100000 0.003623 0.00426099999999 0.004096 0.0040632 difference_update_small SortedSet_PyPy 1000000 0.04115 0.057797 0.048171 0.0478254 difference_update_medium SortedSet_PyPy 100 2.89999999978e-05 3.59999999944e-05 3.19999999974e-05 3.25999999959e-05 difference_update_medium SortedSet_PyPy 1000 5.00000000017e-05 5.30000000083e-05 5.19999999966e-05 5.19999999995e-05 difference_update_medium SortedSet_PyPy 10000 0.000220000000006 0.000343999999998 0.000226999999995 0.0002478 difference_update_medium SortedSet_PyPy 100000 0.002687 0.004246 0.003147 0.0033056 difference_update_medium SortedSet_PyPy 1000000 0.05214 0.063599 0.057174 0.0586908 difference_update_large SortedSet_PyPy 100 3.09999999999e-05 3.30000000019e-05 3.19999999974e-05 3.17999999993e-05 difference_update_large SortedSet_PyPy 1000 6.29999999973e-05 0.000691999999994 6.49999999922e-05 0.000189799999998 difference_update_large SortedSet_PyPy 10000 0.000449000000003 0.000526000000001 0.000472000000002 0.000485000000002 difference_update_large SortedSet_PyPy 100000 0.00664100000001 0.01937 0.007047 0.0095846 difference_update_large SortedSet_PyPy 1000000 0.08007 0.099818 0.083523 0.0884594 intersection_tiny SortedSet_PyPy 100 3.29999999948e-05 3.59999999944e-05 3.39999999994e-05 3.41999999975e-05 intersection_tiny SortedSet_PyPy 1000 3.59999999944e-05 3.89999999939e-05 3.6999999999e-05 3.71999999984e-05 intersection_tiny SortedSet_PyPy 10000 3.90000000081e-05 5.60000000078e-05 4.30000000051e-05 4.62000000041e-05 intersection_tiny SortedSet_PyPy 100000 8.19999999919e-05 9.00000000073e-05 8.60000000031e-05 8.58000000008e-05 intersection_tiny SortedSet_PyPy 1000000 8.5999999996e-05 0.000107 9.40000000043e-05 9.42000000009e-05 intersection_small SortedSet_PyPy 100 3.49999999969e-05 4.20000000005e-05 4.0999999996e-05 3.98000000018e-05 intersection_small SortedSet_PyPy 1000 4.0999999996e-05 0.000788999999997 4.20000000005e-05 0.0001914 intersection_small SortedSet_PyPy 10000 7.8000000002e-05 0.000334999999993 7.9999999997e-05 0.000173599999999 intersection_small SortedSet_PyPy 100000 0.000735999999996 0.00143 0.00121699999999 0.0011132 intersection_small SortedSet_PyPy 1000000 0.015518 0.023704 0.016306 0.017989 intersection_medium SortedSet_PyPy 100 3.60000000015e-05 3.9000000001e-05 3.79999999964e-05 3.74000000008e-05 intersection_medium SortedSet_PyPy 1000 6.10000000023e-05 8.29999999965e-05 6.49999999993e-05 6.89999999977e-05 intersection_medium SortedSet_PyPy 10000 0.000253999999998 0.000259000000007 0.000255999999993 0.000256000000002 intersection_medium SortedSet_PyPy 100000 0.006551 0.007462 0.007012 0.0069586 intersection_medium SortedSet_PyPy 1000000 0.087899 0.114459 0.096149 0.0987982 intersection_large SortedSet_PyPy 100 3.6999999999e-05 4.10000000031e-05 3.99999999985e-05 3.89999999996e-05 intersection_large SortedSet_PyPy 1000 6.90000000034e-05 0.000253999999998 7.09999999984e-05 0.000107 intersection_large SortedSet_PyPy 10000 0.000398000000004 0.000996999999998 0.000481000000001 0.000565999999999 intersection_large SortedSet_PyPy 100000 0.00999299999999 0.010855 0.010461 0.0104892 intersection_large SortedSet_PyPy 1000000 0.127033 0.137589 0.13598 0.1330914 intersection_update_tiny SortedSet_PyPy 100 2.59999999983e-05 2.89999999978e-05 2.69999999958e-05 2.71999999981e-05 intersection_update_tiny SortedSet_PyPy 1000 2.79999999933e-05 3.00000000024e-05 2.80000000004e-05 2.87999999983e-05 intersection_update_tiny SortedSet_PyPy 10000 3.00000000024e-05 3.30000000019e-05 3.19999999974e-05 3.15999999998e-05 intersection_update_tiny SortedSet_PyPy 100000 5.70000000053e-05 6.99999999938e-05 5.90000000003e-05 6.16000000022e-05 intersection_update_tiny SortedSet_PyPy 1000000 6.30000000044e-05 7.19999999959e-05 6.89999999963e-05 6.79999999988e-05 intersection_update_small SortedSet_PyPy 100 2.59999999983e-05 2.80000000004e-05 2.69999999958e-05 2.67999999991e-05 intersection_update_small SortedSet_PyPy 1000 3.19999999974e-05 0.000185000000002 3.20000000045e-05 6.29999999987e-05 intersection_update_small SortedSet_PyPy 10000 7.09999999984e-05 0.000497000000003 7.2000000003e-05 0.000174199999999 intersection_update_small SortedSet_PyPy 100000 0.000574999999998 0.001462 0.00125 0.0010494 intersection_update_small SortedSet_PyPy 1000000 0.015576 0.016634 0.015775 0.0159312 intersection_update_medium SortedSet_PyPy 100 2.80000000004e-05 2.99999999953e-05 2.90000000049e-05 2.90000000007e-05 intersection_update_medium SortedSet_PyPy 1000 4.99999999946e-05 5.50000000032e-05 5.0999999992e-05 5.15999999976e-05 intersection_update_medium SortedSet_PyPy 10000 0.000251999999996 0.000381000000004 0.000302999999995 0.000311599999999 intersection_update_medium SortedSet_PyPy 100000 0.00448100000001 0.01091 0.006542 0.0069824 intersection_update_medium SortedSet_PyPy 1000000 0.086158 0.103043 0.098325 0.0950186 intersection_update_large SortedSet_PyPy 100 2.80000000004e-05 3.9000000001e-05 3.60000000086e-05 3.40000000008e-05 intersection_update_large SortedSet_PyPy 1000 6.29999999973e-05 6.40000000018e-05 6.29999999973e-05 6.33999999977e-05 intersection_update_large SortedSet_PyPy 10000 0.000368000000002 0.000508999999994 0.000475999999999 0.000462399999999 intersection_update_large SortedSet_PyPy 100000 0.009681 0.011412 0.010347 0.0103482 intersection_update_large SortedSet_PyPy 1000000 0.127151 0.135519 0.130921 0.1307158 symmetric_difference_tiny SortedSet_PyPy 100 3.40000000065e-05 3.70000000061e-05 3.49999999969e-05 3.52000000021e-05 symmetric_difference_tiny SortedSet_PyPy 1000 6.49999999993e-05 6.70000000014e-05 6.69999999943e-05 6.65999999981e-05 symmetric_difference_tiny SortedSet_PyPy 10000 0.000422 0.000792999999994 0.000464999999998 0.000524799999998 symmetric_difference_tiny SortedSet_PyPy 100000 0.00784899999999 0.011281 0.009581 0.0093726 symmetric_difference_tiny SortedSet_PyPy 1000000 0.096587 0.120513 0.096983 0.1043722 symmetric_difference_small SortedSet_PyPy 100 3.99999999985e-05 4.2999999998e-05 4.00000000056e-05 4.08000000022e-05 symmetric_difference_small SortedSet_PyPy 1000 6.09999999952e-05 6.59999999968e-05 6.29999999973e-05 6.33999999962e-05 symmetric_difference_small SortedSet_PyPy 10000 0.000371000000008 0.00047 0.000443999999987 0.0004244 symmetric_difference_small SortedSet_PyPy 100000 0.006552 0.007181 0.007002 0.0069392 symmetric_difference_small SortedSet_PyPy 1000000 0.096406 0.114186 0.104765 0.1047194 symmetric_difference_medium SortedSet_PyPy 100 3.39999999994e-05 3.70000000061e-05 3.59999999944e-05 3.58000000006e-05 symmetric_difference_medium SortedSet_PyPy 1000 6.10000000023e-05 0.000239999999991 6.19999999998e-05 9.72000000019e-05 symmetric_difference_medium SortedSet_PyPy 10000 0.000428000000014 0.000762000000009 0.000439 0.000519200000005 symmetric_difference_medium SortedSet_PyPy 100000 0.00674000000001 0.00757 0.007216 0.0071896 symmetric_difference_medium SortedSet_PyPy 1000000 0.092944 0.111655 0.097797 0.0998434 symmetric_difference_large SortedSet_PyPy 100 3.79999999893e-05 3.99999999843e-05 3.80000000035e-05 3.85999999992e-05 symmetric_difference_large SortedSet_PyPy 1000 8.30000000036e-05 0.000238999999993 8.80000000052e-05 0.000116800000004 symmetric_difference_large SortedSet_PyPy 10000 0.000551000000002 0.000740999999991 0.000603999999996 0.000637799999996 symmetric_difference_large SortedSet_PyPy 100000 0.01396 0.01603 0.01474 0.01485 symmetric_difference_large SortedSet_PyPy 1000000 0.175215 0.184517 0.180241 0.1800944 symmetric_difference_update_tiny SortedSet_PyPy 100 3.39999999994e-05 3.70000000061e-05 3.49999999969e-05 3.51999999992e-05 symmetric_difference_update_tiny SortedSet_PyPy 1000 5.50000000032e-05 5.69999999982e-05 5.60000000007e-05 5.61999999974e-05 symmetric_difference_update_tiny SortedSet_PyPy 10000 0.000422999999998 0.000757000000007 0.000426000000004 0.000493400000002 symmetric_difference_update_tiny SortedSet_PyPy 100000 0.006884 0.020171 0.010591 0.0113934 symmetric_difference_update_tiny SortedSet_PyPy 1000000 0.085876 0.098906 0.096632 0.0941644 symmetric_difference_update_small SortedSet_PyPy 100 2.69999999887e-05 2.89999999978e-05 2.80000000004e-05 2.79999999975e-05 symmetric_difference_update_small SortedSet_PyPy 1000 5.29999999941e-05 5.50000000032e-05 5.40000000058e-05 5.38000000034e-05 symmetric_difference_update_small SortedSet_PyPy 10000 0.000376000000003 0.001085 0.000450999999998 0.000549199999998 symmetric_difference_update_small SortedSet_PyPy 100000 0.006316 0.00729799999999 0.006844 0.0068072 symmetric_difference_update_small SortedSet_PyPy 1000000 0.092939 0.103813 0.095812 0.0969358 symmetric_difference_update_medium SortedSet_PyPy 100 2.80000000004e-05 3.99999999985e-05 2.80000000004e-05 3.04e-05 symmetric_difference_update_medium SortedSet_PyPy 1000 5.39999999916e-05 0.000210999999993 5.40000000058e-05 8.5599999997e-05 symmetric_difference_update_medium SortedSet_PyPy 10000 0.000435999999993 0.000743 0.00052500000001 0.000541000000001 symmetric_difference_update_medium SortedSet_PyPy 100000 0.006832 0.007901 0.00730499999999 0.00735 symmetric_difference_update_medium SortedSet_PyPy 1000000 0.089056 0.11972 0.095613 0.1026518 symmetric_difference_update_large SortedSet_PyPy 100 3.19999999903e-05 3.59999999944e-05 3.39999999994e-05 3.37999999999e-05 symmetric_difference_update_large SortedSet_PyPy 1000 7.59999999929e-05 0.000556000000003 7.8000000002e-05 0.0001732 symmetric_difference_update_large SortedSet_PyPy 10000 0.000591999999997 0.000636 0.000602999999998 0.0006124 symmetric_difference_update_large SortedSet_PyPy 100000 0.013958 0.014941 0.014438 0.014487 symmetric_difference_update_large SortedSet_PyPy 1000000 0.161382 0.186149 0.179852 0.1745448 pop SortedSet_PyPy 100 1.29999999956e-05 1.50000000048e-05 1.29999999956e-05 1.34000000003e-05 pop SortedSet_PyPy 1000 2.20000000013e-05 2.50000000079e-05 2.29999999988e-05 2.34000000034e-05 pop SortedSet_PyPy 10000 0.000169999999997 0.000285000000005 0.000175999999996 0.000198600000002 pop SortedSet_PyPy 100000 8.60000000102e-05 0.000108999999995 0.000100000000003 9.97999999981e-05 pop SortedSet_PyPy 1000000 0.000441000000009 0.000446999999994 0.000444999999999 0.000444600000003 init SortedSet_PyPy 100 2.89999999978e-05 3.30000000019e-05 2.99999999953e-05 3.04e-05 init SortedSet_PyPy 1000 0.000115000000008 0.000432000000004 0.000118999999998 0.000180600000004 init SortedSet_PyPy 10000 0.001186 0.00178 0.00138 0.001413 init SortedSet_PyPy 100000 0.02061 0.043781 0.021157 0.0266008 init SortedSet_PyPy 1000000 0.262383 0.285513 0.277406 0.2753632 python-sortedcontainers-2.1.0/tests/results_sorteddict.txt000066400000000000000000000614651337542712000242670ustar00rootroot00000000000000contains SortedDict 100 9.999999992515995e-07 2.9999999995311555e-06 2.9999999995311555e-06 2.3999999996249244e-06 contains SortedDict 1000 2.000000000279556e-06 9.000000000369823e-06 3.999999998782755e-06 4.399999999549209e-06 contains SortedDict 10000 1.8999999999991246e-05 2.3999999999801958e-05 2.1000000000270802e-05 2.099999999991553e-05 contains SortedDict 100000 0.00027599999999949887 0.00030300000000060834 0.0002890000000004278 0.0002880000000001104 contains SortedDict 1000000 0.004478000000000648 0.005143999999999593 0.004971000000001169 0.004915000000000091 contains B-Tree 100 2.000000000279556e-06 2.9999999995311555e-06 2.9999999995311555e-06 2.7999999996808357e-06 contains B-Tree 1000 7.999999999341867e-06 9.000000000369823e-06 7.999999999341867e-06 8.399999999397777e-06 contains B-Tree 10000 5.200000000016303e-05 6.30000000008124e-05 5.500000000147054e-05 5.640000000042278e-05 contains B-Tree 100000 0.0007979999999996323 0.0008830000000017435 0.0008340000000011116 0.0008338000000009061 contains B-Tree 1000000 0.00861600000000351 0.009587999999993713 0.009123999999985699 0.009088199999993662 contains AVL-Tree 100 9.999999974752427e-07 2.999999992425728e-06 2.999999992425728e-06 2.3999999939405824e-06 contains AVL-Tree 1000 6.999999982326699e-06 8.000000008223651e-06 7.999999979801942e-06 7.599999997864871e-06 contains AVL-Tree 10000 6.600000000389628e-05 7.199999998874773e-05 6.799999999884676e-05 6.85999999973319e-05 contains AVL-Tree 100000 0.0014669999999910033 0.0015800000000183445 0.0014740000000017517 0.0015017999999997755 contains AVL-Tree 1000000 0.0201669999999865 0.022442000000012285 0.02085200000001919 0.020918800000004012 contains RB-Tree 100 1.9999999949504854e-06 2.999999992425728e-06 2.999999992425728e-06 2.599999999119973e-06 contains RB-Tree 1000 7.000000010748408e-06 1.8000000011397788e-05 8.000000008223651e-06 9.80000000936343e-06 contains RB-Tree 10000 7.099999999127249e-05 8.199999999192187e-05 7.80000000020209e-05 7.699999999886132e-05 contains RB-Tree 100000 0.0019160000000226773 0.002260000000006812 0.0021050000000002456 0.0020944000000042706 contains RB-Tree 1000000 0.027782999999999447 0.03112400000000548 0.029455000000012888 0.029230200000006333 contains Skip-List 100 5.000000015797923e-06 5.999999984851456e-06 5.999999984851456e-06 5.599999997230043e-06 contains Skip-List 1000 4.100000001017179e-05 5.8000000024094334e-05 4.5999999997548e-05 4.680000000121254e-05 contains Skip-List 10000 0.0005519999999989977 0.0005820000000085201 0.0005600000000072214 0.0005661999999972522 contains Skip-List 100000 0.007697000000007392 0.008657999999996946 0.0077339999999992415 0.008044000000001005 contains Skip-List 1000000 0.09685400000000755 0.1037820000000238 0.1007150000000081 0.1008570000000077 contains std::map 100 1.9999999949504854e-06 2.999999992425728e-06 2.0000000517939043e-06 2.4000000053092664e-06 contains std::map 1000 4.9999999873762135e-06 6.000000041694875e-06 5.000000044219632e-06 5.400000009103678e-06 contains std::map 10000 5.199999998239946e-05 7.999999996854967e-05 5.499999997482519e-05 5.959999998594867e-05 contains std::map 100000 0.00153499999998985 0.001630999999974847 0.00159600000000637 0.0015913999999952466 contains std::map 1000000 0.022501999999974487 0.023435000000006312 0.023000000000024556 0.02298600000000306 getitem SortedDict 100 1.9999999949504854e-06 2.999999992425728e-06 2.999999992425728e-06 2.6000000048043146e-06 getitem SortedDict 1000 2.999999992425728e-06 5.000000044219632e-06 3.999999989900971e-06 3.800000001774606e-06 getitem SortedDict 10000 1.8000000011397788e-05 2.8999999983625457e-05 1.899999995202961e-05 2.059999998209605e-05 getitem SortedDict 100000 0.0002870000000143591 0.0003600000000005821 0.00030899999995881444 0.00031219999999620995 getitem SortedDict 1000000 0.004939000000035776 0.00565199999999777 0.0051149999999893225 0.005200800000000072 getitem B-Tree 100 1.9999999949504854e-06 3.999999989900971e-06 1.9999999949504854e-06 2.599999993435631e-06 getitem B-Tree 1000 5.999999984851456e-06 7.999999979801942e-06 6.000000041694875e-06 6.600000017442653e-06 getitem B-Tree 10000 3.69999999634274e-05 4.899999998997373e-05 4.0000000012696546e-05 4.09999999988031e-05 getitem B-Tree 100000 0.0006290000000035434 0.0008000000000265572 0.0006609999999795946 0.0006907999999953063 getitem B-Tree 1000000 0.006688999999994394 0.007536000000015974 0.0068090000000324835 0.006930400000010195 getitem AVL-Tree 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 3.199999991920777e-06 getitem AVL-Tree 1000 7.999999979801942e-06 1.2000000026546331e-05 8.999999977277184e-06 9.199999988140917e-06 getitem AVL-Tree 10000 7.899999997107443e-05 8.700000000771979e-05 8.100000002286833e-05 8.19999999976062e-05 getitem AVL-Tree 100000 0.0016780000000267137 0.0018779999999765096 0.001702000000022963 0.0017336000000113927 getitem AVL-Tree 1000000 0.02107899999998608 0.023500000000012733 0.022537999999997282 0.0222945999999979 getitem RB-Tree 100 1.9999999949504854e-06 2.999999992425728e-06 2.999999992425728e-06 2.599999993435631e-06 getitem RB-Tree 1000 7.999999979801942e-06 8.00000003664536e-06 7.999999979801942e-06 7.999999991170625e-06 getitem RB-Tree 10000 7.500000003801688e-05 9.599999998499698e-05 7.999999996854967e-05 8.259999999609136e-05 getitem RB-Tree 100000 0.002349999999978536 0.002586000000007971 0.00249500000001035 0.0024679999999989376 getitem RB-Tree 1000000 0.02917599999994991 0.032126000000005206 0.029530000000022483 0.030217400000003634 getitem Skip-List 100 4.9999999873762135e-06 7.000000039170118e-06 6.999999982326699e-06 6.399999995210237e-06 getitem Skip-List 1000 3.8999999958377884e-05 5.499999997482519e-05 4.0000000012696546e-05 4.400000000259752e-05 getitem Skip-List 10000 0.00045800000003737296 0.0005349999999566535 0.0005090000000222972 0.0005030000000033396 getitem Skip-List 100000 0.007285000000024411 0.008259000000009564 0.0076029999999605025 0.007676800000001549 getitem Skip-List 1000000 0.09630700000002435 0.10069999999996071 0.09639599999997017 0.09790520000000243 getitem std::map 100 1.9999999949504854e-06 2.999999992425728e-06 2.000000108637323e-06 2.40000001667795e-06 getitem std::map 1000 6.999999982326699e-06 6.999999982326699e-06 6.999999982326699e-06 6.999999982326699e-06 getitem std::map 10000 5.700000008346251e-05 6.200000007083872e-05 5.99999999622014e-05 5.96000000314234e-05 getitem std::map 100000 0.001644000000055712 0.0017249999999648935 0.0016829999999572465 0.0016786000000138302 getitem std::map 1000000 0.023200999999971827 0.024525000000039654 0.02339300000005551 0.02369940000000952 getitem Treap 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.999999992425728e-06 getitem Treap 1000 1.1000000085914508e-05 1.3999999964653398e-05 1.200000008338975e-05 1.2400000014167744e-05 getitem Treap 10000 0.00012800000001789158 0.00015900000005331094 0.00013599999999769352 0.00014320000000225263 getitem Treap 100000 0.002563000000009197 0.0031520000000000437 0.0027250000000549335 0.002835000000004584 getitem Treap 1000000 0.03305799999998271 0.03577200000006542 0.03347499999995307 0.033884199999988596 setitem SortedDict 100 3.000000106112566e-06 3.999999989900971e-06 3.999999989900971e-06 3.80000001314329e-06 setitem SortedDict 1000 1.799999995455437e-05 1.9999999949504854e-05 1.900000006571645e-05 1.8999999997504347e-05 setitem SortedDict 10000 0.00016299999992952507 0.00017399999990175274 0.0001630000000432119 0.00016599999994468818 setitem SortedDict 100000 0.0018519999999853098 0.002004000000056294 0.001912000000061198 0.0019294000000172674 setitem SortedDict 1000000 0.02151800000001458 0.02233000000001084 0.021907000000055632 0.021893400000021757 setitem B-Tree 100 4.9999999873762135e-06 5.999999984851456e-06 5.999999984851456e-06 5.599999985861359e-06 setitem B-Tree 1000 5.3999999977349944e-05 5.499999997482519e-05 5.499999997482519e-05 5.459999999857246e-05 setitem B-Tree 10000 0.0007140000000163127 0.0007689999999911379 0.0007140000000163127 0.0007252000000107728 setitem B-Tree 100000 0.010659000000032393 0.010919999999941865 0.010704000000032465 0.010735399999998663 setitem B-Tree 1000000 0.17792500000007294 0.17872699999998076 0.17854099999999562 0.17835240000001704 setitem AVL-Tree 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.999999992425728e-06 setitem AVL-Tree 1000 6.999999982326699e-06 8.999999977277184e-06 6.999999982326699e-06 7.599999980811844e-06 setitem AVL-Tree 10000 6.499999994957761e-05 6.700000005821494e-05 6.500000006326445e-05 6.560000001627486e-05 setitem AVL-Tree 100000 0.0007329999999683423 0.000757000000021435 0.000735999999960768 0.0007401999999729014 setitem AVL-Tree 1000000 0.009490999999911764 0.009651999999960026 0.00958299999990686 0.009581199999934143 setitem RB-Tree 100 9.999999974752427e-07 3.000000106112566e-06 1.9999999949504854e-06 1.8000000181928044e-06 setitem RB-Tree 1000 3.999999989900971e-06 4.9999999873762135e-06 3.999999989900971e-06 4.1999999893960195e-06 setitem RB-Tree 10000 3.299999991668301e-05 3.400000002784509e-05 3.399999991415825e-05 3.3599999983380255e-05 setitem RB-Tree 100000 0.00040300000000570435 0.000463999999965381 0.0004069999999956053 0.0004173999999920852 setitem RB-Tree 1000000 0.00770799999997962 0.007940000000075997 0.007740000000012515 0.007790799999997944 setitem Skip-List 100 5.999999984851456e-06 8.00000009348878e-06 6.999999982326699e-06 7.000000027801434e-06 setitem Skip-List 1000 4.3000000005122274e-05 4.799999999249849e-05 4.5999999997548e-05 4.5399999999062855e-05 setitem Skip-List 10000 0.0004920000000083746 0.0005320000000210712 0.0005180000000564178 0.0005160000000159926 setitem Skip-List 100000 0.00580200000001696 0.006801999999993313 0.006107000000042717 0.006168800000023111 setitem Skip-List 1000000 0.07189100000005055 0.07584499999995842 0.0741170000000011 0.07414240000000519 setitem std::map 100 9.999999974752427e-07 2.999999992425728e-06 1.9999999949504854e-06 1.799999995455437e-06 setitem std::map 1000 3.999999989900971e-06 5.000000101063051e-06 3.999999989900971e-06 4.400000011628435e-06 setitem std::map 10000 3.500000002532033e-05 7.400000004054164e-05 4.5999999997548e-05 4.7600000038983124e-05 setitem std::map 100000 0.0004249999999501597 0.0004279999999425854 0.00042500000006384653 0.00042579999999361464 setitem std::map 1000000 0.006056999999941581 0.006345000000010259 0.0061210000000073705 0.006181199999991805 setitem Treap 100 1.9999999949504854e-06 2.999999992425728e-06 1.9999999949504854e-06 2.3999999939405824e-06 setitem Treap 1000 1.1999999969702912e-05 1.8000000068241206e-05 1.4000000078340236e-05 1.440000000911823e-05 setitem Treap 10000 0.00020300000005590846 0.00021900000001551234 0.00020599999993464735 0.00020900000001802254 setitem Treap 100000 0.003012000000012449 0.0033570000000509026 0.003183000000035463 0.0031782000000248447 setitem Treap 1000000 0.04306999999994332 0.04516799999998966 0.04390200000000277 0.043929800000000796 setitem_existing SortedDict 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.7999999929306794e-06 setitem_existing SortedDict 1000 5.999999984851456e-06 6.999999982326699e-06 6.999999982326699e-06 6.79999998283165e-06 setitem_existing SortedDict 10000 4.3000000005122274e-05 4.6999999995023245e-05 4.400000000259752e-05 4.420000000209257e-05 setitem_existing SortedDict 100000 0.0005409999999983484 0.0005879999999933716 0.00056100000006154 0.0005615999999918131 setitem_existing SortedDict 1000000 0.007835999999997512 0.0085550000000012 0.008225000000038563 0.008219800000006217 setitem_existing B-Tree 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.7999999929306794e-06 setitem_existing B-Tree 1000 6.000000098538294e-06 7.999999979801942e-06 6.999999982326699e-06 7.000000005064067e-06 setitem_existing B-Tree 10000 4.6999999995023245e-05 8.900000000267028e-05 4.999999998744897e-05 5.799999998998828e-05 setitem_existing B-Tree 100000 0.0007269999999834909 0.0008020000000215077 0.0007460000000492073 0.0007610000000340733 setitem_existing B-Tree 1000000 0.008327000000008411 0.009230999999999767 0.008690000000001419 0.008705399999985274 setitem_existing AVL-Tree 100 1.9999999949504854e-06 2.999999992425728e-06 2.999999992425728e-06 2.7999999929306794e-06 setitem_existing AVL-Tree 1000 9.999999974752427e-06 1.600000007329072e-05 1.200000008338975e-05 1.2400000014167744e-05 setitem_existing AVL-Tree 10000 8.50000000127693e-05 0.00014299999998002022 0.0001129999999420761 0.00011039999999411521 setitem_existing AVL-Tree 100000 0.001822999999944841 0.001981999999998152 0.0019170000000485743 0.0019014000000197484 setitem_existing AVL-Tree 1000000 0.023958999999990738 0.025220999999987725 0.024021000000061576 0.024368000000004032 setitem_existing RB-Tree 100 1.9999999949504854e-06 2.999999992425728e-06 2.999999992425728e-06 2.599999993435631e-06 setitem_existing RB-Tree 1000 8.999999977277184e-06 1.1999999969702912e-05 9.999999974752427e-06 9.999999997489795e-06 setitem_existing RB-Tree 10000 7.599999992180528e-05 8.100000002286833e-05 8.000000002539309e-05 7.900000000518048e-05 setitem_existing RB-Tree 100000 0.002360000000066975 0.002681000000052336 0.0025190000000065993 0.0025086000000328567 setitem_existing RB-Tree 1000000 0.029585999999994783 0.031532999999967615 0.031447999999954845 0.030805199999986144 setitem_existing Skip-List 100 5.999999984851456e-06 7.000000096013537e-06 6.000000098538294e-06 6.400000029316289e-06 setitem_existing Skip-List 1000 3.700000002027082e-05 7.39999999268548e-05 4.3000000005122274e-05 4.7199999994518296e-05 setitem_existing Skip-List 10000 0.0004720000000588698 0.0005060000000867149 0.0004990000001043882 0.0004916000000775966 setitem_existing Skip-List 100000 0.007415999999921041 0.008733000000006541 0.007880999999997584 0.007945199999994657 setitem_existing Skip-List 1000000 0.09411600000009912 0.10161300000004303 0.09705299999995987 0.0979757999999947 setitem_existing std::map 100 1.9999999949504854e-06 3.000000106112566e-06 2.999999992425728e-06 2.6000000161729986e-06 setitem_existing std::map 1000 6.999999982326699e-06 7.999999979801942e-06 7.999999979801942e-06 7.799999980306894e-06 setitem_existing std::map 10000 6.899999993947858e-05 8.400000001529406e-05 7.39999999268548e-05 7.439999997131963e-05 setitem_existing std::map 100000 0.001632000000086009 0.0017230000000836299 0.0016460000000506625 0.001659000000040578 setitem_existing std::map 1000000 0.02048099999990427 0.022391999999967993 0.021806999999967047 0.02166999999994914 setitem_existing Treap 100 2.999999992425728e-06 5.000000101063051e-06 4.9999999873762135e-06 4.400000011628435e-06 setitem_existing Treap 1000 2.9000000040468876e-05 3.6000000022795575e-05 3.2000000032894604e-05 3.199999998741987e-05 setitem_existing Treap 10000 0.00036399999999048305 0.0004209999999602587 0.00038000000006377377 0.00038539999998192797 setitem_existing Treap 100000 0.005992999999989479 0.006763999999975567 0.006311999999979889 0.006325199999992037 setitem_existing Treap 1000000 0.07346799999993436 0.07670599999994465 0.07473900000002232 0.07479980000000523 delitem SortedDict 100 4.9999999873762135e-06 5.999999984851456e-06 4.9999999873762135e-06 5.199999986871262e-06 delitem SortedDict 1000 2.300000005561742e-05 2.4000000053092663e-05 2.3999999939405825e-05 2.3799999985385513e-05 delitem SortedDict 10000 0.00021599999990939978 0.00026000000002568413 0.0002160000000230866 0.00022480000000086876 delitem SortedDict 100000 0.0026000000000294676 0.0028089999999565407 0.0027119999999740685 0.0027104000000008456 delitem SortedDict 1000000 0.03516300000001138 0.041299999999978354 0.03625299999998788 0.03684819999998581 delitem B-Tree 100 6.999999982326699e-06 7.000000096013537e-06 6.999999982326699e-06 7.000000005064067e-06 delitem B-Tree 1000 8.100000002286833e-05 8.50000000127693e-05 8.200000002034358e-05 8.220000001983863e-05 delitem B-Tree 10000 0.0011050000000523141 0.0013480000000072323 0.0011719999999968422 0.0011897999999973762 delitem B-Tree 100000 0.016020000000025902 0.01747100000000046 0.016478000000006432 0.016629599999987477 delitem B-Tree 1000000 0.22048899999992955 0.23885600000005525 0.22797200000013618 0.23055680000002213 delitem AVL-Tree 100 1.9999999949504854e-06 3.999999989900971e-06 3.000000106112566e-06 3.0000000151630956e-06 delitem AVL-Tree 1000 1.1000000085914508e-05 1.1999999969702912e-05 1.1999999969702912e-05 1.179999999294523e-05 delitem AVL-Tree 10000 0.00010899999983848829 0.00015099999995982216 0.00012100000003556488 0.0001231999999617983 delitem AVL-Tree 100000 0.001939999999876818 0.0020939999999427528 0.0020490000001700537 0.002040999999962878 delitem AVL-Tree 1000000 0.024695000000065193 0.025319999999965148 0.025012000000060652 0.02501620000002731 delitem RB-Tree 100 2.9999998787388904e-06 3.999999989900971e-06 3.999999989900971e-06 3.7999999676685547e-06 delitem RB-Tree 1000 7.999999979801942e-06 1.0000000202126103e-05 7.999999979801942e-06 8.60000004649919e-06 delitem RB-Tree 10000 0.00010699999984353781 0.00018100000011145312 0.00015200000007098424 0.0001471999999921536 delitem RB-Tree 100000 0.002430000000003929 0.0027489999999943393 0.002668000000085158 0.0026144000000385857 delitem RB-Tree 1000000 0.036516000000119675 0.03839700000003177 0.036914999999908105 0.03730199999999968 delitem Skip-List 100 5.999999984851456e-06 7.999999979801942e-06 7.000000096013537e-06 7.000000005064067e-06 delitem Skip-List 1000 5.600000008598727e-05 8.499999989908247e-05 5.799999985356408e-05 6.339999999909196e-05 delitem Skip-List 10000 0.0006209999999100546 0.0006410000000869331 0.0006310000001121807 0.000629800000024261 delitem Skip-List 100000 0.009461999999984982 0.010339000000158194 0.009756000000152198 0.009887800000069547 delitem Skip-List 1000000 0.11957600000005186 0.12951999999995678 0.1220130000001518 0.12310539999998582 delitem std::map 100 1.9999999949504854e-06 3.000000106112566e-06 1.9999999949504854e-06 2.3999999939405824e-06 delitem std::map 1000 9.999999974752427e-06 1.1000000085914508e-05 1.0999999858540832e-05 1.0799999927257886e-05 delitem std::map 10000 9.599999998499698e-05 0.00010799999995469989 9.999999997489795e-05 0.00010179999999309075 delitem std::map 100000 0.002253999999993539 0.002430000000003929 0.002312999999958265 0.0023210000000290164 delitem std::map 1000000 0.031178000000181783 0.03389900000001944 0.031626999999843974 0.03200000000001637 delitem Treap 100 3.999999989900971e-06 5.999999984851456e-06 4.999999873689376e-06 5.000000010113581e-06 delitem Treap 1000 2.3999999939405825e-05 2.700000004551839e-05 2.5000000050567905e-05 2.540000000408327e-05 delitem Treap 10000 0.000289000000066153 0.0003030000000308064 0.00029599999993479287 0.0002959999999802676 delitem Treap 100000 0.004460000000108266 0.004915999999866472 0.004666000000042914 0.004676000000063141 delitem Treap 1000000 0.056872999999995955 0.06324100000006183 0.05848799999989751 0.05933220000001711 iter SortedDict 100 1.0999999858540832e-05 1.1999999969702912e-05 1.1999999969702912e-05 1.1799999947470497e-05 iter SortedDict 1000 9.1999999995096e-05 9.1999999995096e-05 9.1999999995096e-05 9.1999999995096e-05 iter SortedDict 10000 0.0009159999999610591 0.0010680000000320433 0.000945000000001528 0.0009649999999965075 iter SortedDict 100000 0.009967999999844324 0.010144000000082087 0.010072000000036496 0.010052399999995031 iter SortedDict 1000000 0.0950070000001233 0.10334199999988414 0.10248699999988276 0.10117259999997259 iter B-Tree 100 0.00010099999985868635 0.00010700000007091148 0.0001059999999597494 0.0001045999999405467 iter B-Tree 1000 0.0010299999999006104 0.0011190000000169675 0.0010310000000117725 0.0010489999999663269 iter B-Tree 10000 0.010507999999845197 0.010780000000067957 0.010534000000006927 0.010582199999953445 iter B-Tree 100000 0.10495399999990696 0.10745599999995648 0.10693900000001122 0.1066711999999825 iter B-Tree 1000000 1.0693269999999302 1.106771000000208 1.0829469999998764 1.0847090000000208 iter AVL-Tree 100 2.1000000060666935e-05 2.300000005561742e-05 2.199999994445534e-05 2.220000001216249e-05 iter AVL-Tree 1000 0.00020599999993464735 0.00020799999992959783 0.00020700000004580943 0.00020679999997810227 iter AVL-Tree 10000 0.0020719999999982974 0.002323000000160391 0.0021810000000641594 0.0021760000000085713 iter AVL-Tree 100000 0.024139999999988504 0.02477099999987331 0.024237000000084663 0.024387800000022254 iter AVL-Tree 1000000 0.22909600000002683 0.25783099999989645 0.2423949999999877 0.2422153999999864 iter RB-Tree 100 1.1999999969702912e-05 1.3000000080864993e-05 1.2999999853491317e-05 1.259999994545069e-05 iter RB-Tree 1000 9.399999999004649e-05 9.500000010120857e-05 9.399999999004649e-05 9.42000000122789e-05 iter RB-Tree 10000 0.0009589999999661813 0.0010339999998905114 0.0009889999998904386 0.0009879999999611755 iter RB-Tree 100000 0.012505000000146538 0.01322400000003654 0.013045000000147411 0.01298400000005131 iter RB-Tree 1000000 0.09979099999986829 0.10383999999999105 0.10205900000005386 0.10156040000001668 iter Skip-List 100 3.799999990405922e-05 4.0000000126383384e-05 3.899999978784763e-05 3.8799999992988886e-05 iter Skip-List 1000 0.00032699999997021223 0.000367999999980384 0.0003289999999651627 0.00034259999997630073 iter Skip-List 10000 0.00327900000002046 0.0035570000000006985 0.003363000000035754 0.0033728000000337486 iter Skip-List 100000 0.03502600000001621 0.038463999999976295 0.03723300000001473 0.03721040000004905 iter std::map 100 1.0999999858540832e-05 1.3000000080864993e-05 1.2999999853491317e-05 1.239999996869301e-05 iter std::map 1000 0.00010199999996984843 0.0001059999999597494 0.000105000000075961 0.00010440000000926375 iter std::map 10000 0.0011020000001735752 0.0011569999999210268 0.001132999999981621 0.0011292000000139523 iter std::map 100000 0.01199899999983245 0.012611999999990076 0.01245599999992919 0.012383199999931094 iter std::map 1000000 0.1213110000001052 0.12951399999997193 0.12742400000001908 0.1263756000000285 iter Treap 100 0.00010999999994965037 0.00011300000005576294 0.00011100000006081245 0.00011140000005980256 iter Treap 1000 0.0010059999999612046 0.0011160000001382286 0.0010200000001532317 0.001035600000022896 iter Treap 10000 0.010009000000081869 0.010140000000092186 0.01007700000013756 0.010070800000085001 iter Treap 100000 0.10484900000005837 0.11132799999995768 0.10646199999996497 0.10759640000001128 iter Treap 1000000 1.0330220000000736 1.0778619999998682 1.0435730000001513 1.0466788000000178 init SortedDict 100 3.399999991415825e-05 4.3000000005122274e-05 3.90000000152213e-05 3.839999999399879e-05 init SortedDict 1000 0.00029599999993479287 0.0003309999999601132 0.0003019999999196443 0.0003081999999722029 init SortedDict 10000 0.0036109999998643616 0.003750999999965643 0.0037399999998797284 0.0037063999999190854 init SortedDict 100000 0.054587999999966996 0.07811600000013641 0.05747700000006262 0.06079740000004676 init SortedDict 1000000 0.9022019999999884 1.2130870000000868 0.9439800000000105 0.9875149999999848 init B-Tree 100 0.0007889999999406427 0.0008970000001227163 0.0008159999999861611 0.0008374000000003434 init B-Tree 1000 0.011497999999846797 0.012258999999858133 0.011874000000034357 0.011829999999963547 init B-Tree 10000 0.18014199999993252 0.1889600000001792 0.18054099999994833 0.18217719999997825 init B-Tree 100000 2.538876000000073 2.602837000000136 2.5711479999999938 2.5732760000000328 init AVL-Tree 100 4.6999999995023245e-05 5.000000010113581e-05 4.799999987881165e-05 4.8000000015235854e-05 init AVL-Tree 1000 0.0005280000000311702 0.0005510000000867876 0.0005289999999149586 0.0005331999999725667 init AVL-Tree 10000 0.006892999999990934 0.007406999999830077 0.007258999999976368 0.0072237999999742895 init AVL-Tree 100000 0.10475599999995211 0.1205729999999221 0.11246600000004037 0.11217780000001767 init AVL-Tree 1000000 1.9722659999999905 2.0744790000001103 1.983850000000075 2.010124799999994 init RB-Tree 100 5.3999999863663106e-05 6.399999983841553e-05 5.699999996977567e-05 5.739999996876577e-05 init RB-Tree 1000 0.0005529999998543644 0.000559999999950378 0.0005539999999655265 0.0005552000000079715 init RB-Tree 10000 0.00810900000010406 0.008475000000089494 0.008246999999983018 0.008266800000046714 init RB-Tree 100000 0.15378199999986464 0.15723099999991064 0.15470600000003287 0.15501899999994748 init RB-Tree 1000000 2.9428800000000592 3.042794999999842 2.9786139999998795 2.986961199999996 init Skip-List 100 0.000550999999859414 0.0006129999999302527 0.0005810000000110449 0.0005797999999231252 init Skip-List 1000 0.0060960000000704895 0.006555000000162181 0.006287000000156695 0.00628460000002633 init Skip-List 10000 0.0709030000000439 0.07433299999979681 0.07292499999994106 0.07295059999996738 init Skip-List 100000 0.9541440000000421 1.627112999999781 1.4481379999999717 1.3780723999999736 init std::map 100 3.299999980299617e-05 3.399999991415825e-05 3.300000003036985e-05 3.339999993841047e-05 init std::map 1000 0.00039399999991474033 0.00045999999997548 0.0003959999999096908 0.0004079999999703432 init std::map 10000 0.004998999999997977 0.005239999999957945 0.005132000000003245 0.005125400000042646 init std::map 100000 0.08449999999993452 0.08656800000017029 0.08473999999978332 0.08506539999998494 init std::map 1000000 1.7519649999999274 1.8263170000000173 1.784351999999899 1.7838747999999214 python-sortedcontainers-2.1.0/tests/results_sortedlist.txt000066400000000000000000001125141337542712000243070ustar00rootroot00000000000000add SortedList 100 2.9999999995311555e-06 4.999999999810711e-06 4.000000000559112e-06 3.7999999999982492e-06 add SortedList 1000 1.699999999971169e-05 1.799999999896329e-05 1.7000000001488047e-05 1.73999999997676e-05 add SortedList 10000 0.0001610000000002998 0.00017200000000094917 0.00016399999999983095 0.00016520000000035394 add SortedList 100000 0.0018679999999999808 0.0021250000000012648 0.0018890000000002516 0.00197340000000068 add SortedList 1000000 0.02581900000000026 0.02787800000000118 0.027188999999999908 0.027018000000000698 add SortedKeyList 100 4.999999999810711e-06 5.000000001587068e-06 4.999999999810711e-06 5.0000000001659824e-06 add SortedKeyList 1000 2.6000000000081513e-05 2.6999999999333113e-05 2.6999999999333113e-05 2.6599999999632472e-05 add SortedKeyList 10000 0.00023799999999951638 0.0002949999999994901 0.0002420000000000755 0.00025119999999994035 add SortedKeyList 100000 0.0027410000000003265 0.0029729999999990042 0.0027720000000002187 0.0028097999999999955 add SortedKeyList 1000000 0.036452000000000595 0.038634000000001834 0.0368700000000004 0.0372312000000008 add B-Tree 100 4.9999999980343546e-06 7.000000000090267e-06 5.999999999062311e-06 5.999999999062311e-06 add B-Tree 1000 6.400000000184036e-05 7.899999999949614e-05 6.69999999978188e-05 6.859999999946354e-05 add B-Tree 10000 0.0008860000000012747 0.0008949999999998681 0.0008879999999997779 0.0008890000000000952 add B-Tree 100000 0.012153999999998888 0.012917999999999097 0.012225000000000819 0.012359599999999915 add B-Tree 1000000 0.1771930000000026 0.180018000000004 0.17890400000000284 0.1788406000000009 add List 100 1.9999999949504854e-06 4.0000000041118255e-06 3.000000006636583e-06 3.000000003794412e-06 add List 1000 1.6000000002236447e-05 1.699999999971169e-05 1.6000000002236447e-05 1.6200000001731495e-05 add List 10000 0.00045899999999221563 0.000641000000001668 0.0004590000000064265 0.0004955999999992855 add List 100000 0.042512000000002104 0.04546200000000056 0.04505899999999485 0.04414320000000203 add List 1000000 4.6038719999999955 4.746921 4.6409889999999905 4.663668999999996 update_small SortedList 100 1.499999999055035e-05 1.7000000013922545e-05 1.5999999988025593e-05 1.5799999994214885e-05 update_small SortedList 1000 0.0001540000000090913 0.00015799999999899228 0.00015500000000656655 0.0001552000000060616 update_small SortedList 10000 0.0016310000000032687 0.001677999999998292 0.0016559999999969932 0.001654400000001033 update_small SortedList 100000 0.01790900000000306 0.018315999999998667 0.018079000000000178 0.018096599999995532 update_small SortedList 1000000 0.21849799999998254 0.22042199999998502 0.21933299999997757 0.21945839999999067 update_small SortedKeyList 100 2.200000000129876e-05 2.3999999996249244e-05 2.3999999996249244e-05 2.319999999826905e-05 update_small SortedKeyList 1000 0.00023499999997511622 0.0002570000000048367 0.0002389999999934389 0.0002411999999935688 update_small SortedKeyList 10000 0.0024319999999988795 0.002854000000013457 0.0025009999999952015 0.0025782000000049267 update_small SortedKeyList 100000 0.02633599999998637 0.02701099999998746 0.02653400000002648 0.026587599999999156 update_small SortedKeyList 1000000 0.31340600000001473 0.3171859999999924 0.31574000000000524 0.3152976000000024 update_small B-Tree 100 3.499999999689862e-05 3.5999999994373866e-05 3.500000002532033e-05 3.540000000157306e-05 update_small B-Tree 1000 0.0006209999999953197 0.0006559999999922184 0.0006250000000136424 0.0006353999999930693 update_small B-Tree 10000 0.008998999999988655 0.009457999999995081 0.009124999999983174 0.00916539999999486 update_small B-Tree 100000 0.12178099999999858 0.12430099999997424 0.12210900000002312 0.12288139999999999 update_small B-Tree 1000000 1.8123580000000175 1.8399949999999876 1.823348999999979 1.8235683999999934 update_small List 100 1.1999999998124622e-05 1.4000000021496817e-05 1.3999999993075107e-05 1.3400000005958645e-05 update_small List 1000 0.00013599999999769352 0.0001630000000147902 0.00013599999999769352 0.00014140000000111285 update_small List 10000 0.00475299999999379 0.004874000000000933 0.004784999999998263 0.004809000000000197 update_small List 100000 0.4238339999999994 0.43169299999999566 0.4245149999999853 0.4258871999999997 update_large SortedList 100 2.200000000129876e-05 2.3999999996249244e-05 2.2999999998774e-05 2.2999999998774e-05 update_large SortedList 1000 0.00022599999999783904 0.00022999999998774 0.00022599999999783904 0.00022719999999480932 update_large SortedList 10000 0.0028559999999799857 0.0028990000000135296 0.0028570000000058826 0.0028720000000021172 update_large SortedList 100000 0.03686899999999582 0.03756799999999316 0.036991999999997915 0.037104800000003026 update_large SortedList 1000000 0.615729999999985 0.638038999999992 0.6236470000000054 0.6251421999999934 update_large SortedKeyList 100 5.5000000003246896e-05 5.699999999819738e-05 5.600000000072214e-05 5.620000000021719e-05 update_large SortedKeyList 1000 0.0005319999999926495 0.0005419999999958236 0.0005350000000134969 0.0005359999999996034 update_large SortedKeyList 10000 0.005963999999977432 0.006166000000007443 0.006003999999990128 0.006025599999998121 update_large SortedKeyList 100000 0.07164299999999457 0.07208099999999718 0.07186699999999746 0.07186059999999088 update_large SortedKeyList 1000000 1.0697260000000028 1.5267209999999523 1.0875909999999749 1.1728957999999807 update_large B-Tree 100 0.000367999999980384 0.0003690000000347027 0.000367999999980384 0.00036819999999124773 update_large B-Tree 1000 0.006643999999994321 0.006746000000021013 0.006680000000017117 0.006684400000006007 update_large B-Tree 10000 0.09885500000001457 0.10111299999999801 0.10005499999999756 0.10005300000000261 update_large B-Tree 100000 1.3559560000000488 1.3739590000000135 1.365129999999965 1.3646536000000082 update_large B-Tree 1000000 20.17571799999996 20.43918500000001 20.356344999999976 20.31769999999999 update_large List 100 9.699999998247222e-05 9.900000003426612e-05 9.799999997994746e-05 9.800000000268483e-05 update_large List 1000 0.001469999999983429 0.001518000000032771 0.0014780000000200744 0.0014862000000107401 update_large List 10000 0.06531699999999319 0.06629800000001751 0.06548100000003387 0.06567939999999908 update_large List 100000 5.965372000000002 6.009855000000016 5.987123999999994 5.988070600000003 contains SortedList 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.999999992425728e-06 contains SortedList 1000 9.999999974752427e-06 1.200000008338975e-05 1.1000000085914508e-05 1.1200000017197453e-05 contains SortedList 10000 9.699999998247222e-05 9.89999999774227e-05 9.80000000936343e-05 9.820000000217987e-05 contains SortedList 100000 0.0012389999999413703 0.0012769999999591164 0.0012530000000197106 0.0012561999999661567 contains SortedList 1000000 0.015965999999934866 0.01659600000004957 0.01647600000001148 0.01640019999999822 contains SortedKeyList 100 2.999999992425728e-06 4.0000001035878086e-06 3.999999989900971e-06 3.80000001314329e-06 contains SortedKeyList 1000 1.5000000075815478e-05 1.600000007329072e-05 1.600000007329072e-05 1.5800000073795673e-05 contains SortedKeyList 10000 0.00013599999999769352 0.000137999999992644 0.000137999999992644 0.0001375999999936539 contains SortedKeyList 100000 0.0017270000000735308 0.0018340000000307555 0.001740000000040709 0.0017568000000437677 contains SortedKeyList 1000000 0.02368699999999535 0.02417800000000625 0.023988000000031207 0.023995600000012017 contains B-Tree 100 4.9999999873762135e-06 6.999999982326699e-06 5.999999984851456e-06 5.999999984851456e-06 contains B-Tree 1000 5.599999997230043e-05 6.299999995462713e-05 5.699999996977567e-05 5.78000000132306e-05 contains B-Tree 10000 0.0006779999999935171 0.0007289999999784413 0.0006969999999455467 0.0006973999999900116 contains B-Tree 100000 0.008416000000011081 0.008713000000057036 0.00844999999992524 0.008530799999994088 contains B-Tree 1000000 0.10706299999992552 0.10870899999997619 0.10826700000006895 0.10793820000001234 contains List 100 2.999999992425728e-06 3.999999989900971e-06 2.999999992425728e-06 3.399999991415825e-06 contains List 1000 1.3999999964653398e-05 1.5000000075815478e-05 1.4000000078340236e-05 1.440000000911823e-05 contains List 10000 0.0001330000000052678 0.00013400000000274304 0.00013400000000274304 0.00013360000000375293 contains List 100000 0.0021060000000261425 0.002349999999978536 0.0023149999999532156 0.0022404000000051383 contains List 1000000 0.028001000000017484 0.031916000000023814 0.029835999999932028 0.02977659999999105 remove SortedList 100 3.999999989900971e-06 4.9999999873762135e-06 3.999999989900971e-06 4.1999999893960195e-06 remove SortedList 1000 1.899999995202961e-05 2.8000000042993634e-05 1.900000006571645e-05 2.119999999194988e-05 remove SortedList 10000 0.00017500000001291482 0.00018499999998766725 0.00017500000001291482 0.0001770000000078653 remove SortedList 100000 0.001995000000079017 0.0020680000000083965 0.0020060000000512446 0.0020186000000194325 remove SortedList 1000000 0.02570299999990766 0.026353999999969346 0.026106000000027052 0.026074799999992137 remove SortedKeyList 100 3.999999989900971e-06 5.999999984851456e-06 4.9999999873762135e-06 4.799999987881165e-06 remove SortedKeyList 1000 2.4999999936881068e-05 2.6000000048043148e-05 2.5000000050567905e-05 2.540000000408327e-05 remove SortedKeyList 10000 0.00023299999998016574 0.0002479999999422944 0.00023599999997259147 0.00023719999996956175 remove SortedKeyList 100000 0.0027039999999942665 0.0028829999999970823 0.0027420000000120126 0.002757399999995869 remove SortedKeyList 1000000 0.03551099999992857 0.03679599999998118 0.035690000000045075 0.03599199999998746 remove B-Tree 100 5.999999984851456e-06 6.999999982326699e-06 5.999999984851456e-06 6.399999983841554e-06 remove B-Tree 1000 7.500000003801688e-05 7.799999991675577e-05 7.500000003801688e-05 7.600000001275475e-05 remove B-Tree 10000 0.0010509999999612774 0.0010939999999663996 0.0010740000000168948 0.0010717999999769745 remove B-Tree 100000 0.01429700000005596 0.014462000000094122 0.014381999999955042 0.014372800000001008 remove B-Tree 1000000 0.2103949999999486 0.2120350000000144 0.21167900000000373 0.21140060000000177 remove List 100 2.999999992425728e-06 5.000000101063051e-06 2.999999992425728e-06 3.80000001314329e-06 remove List 1000 1.9999999949504854e-05 2.0000000063191692e-05 2.0000000063191692e-05 2.0000000040454326e-05 remove List 10000 0.0003789999999526117 0.0003999999998995918 0.000381000000061249 0.0003843999999844527 remove List 100000 0.03237699999999677 0.0327429999999822 0.0326710000000503 0.032613999999989575 remove List 1000000 3.980912999999987 4.0914379999999255 4.029239999999959 4.022808799999984 delitem SortedList 100 4.9999999873762135e-06 7.999999979801942e-06 5.999999984851456e-06 6.200000007083872e-06 delitem SortedList 1000 2.6999999931831553e-05 3.6000000022795575e-05 2.9000000040468876e-05 3.1199999989439674e-05 delitem SortedList 10000 0.00047499999993760866 0.0004930000000058499 0.00048599999990983633 0.00048559999997905835 delitem SortedList 100000 0.005469000000061897 0.005817999999976564 0.005498999999986154 0.005570600000010017 delitem SortedList 1000000 0.06959300000005442 0.0714580000000069 0.07068300000003092 0.07060040000001208 delitem SortedKeyList 100 4.9999999873762135e-06 7.999999979801942e-06 7.000000096013537e-06 6.600000028811337e-06 delitem SortedKeyList 1000 2.899999992678204e-05 3.100000003541936e-05 2.999999992425728e-05 2.9799999992974335e-05 delitem SortedKeyList 10000 0.0005069999999705033 0.0005170000000589425 0.0005089999999654538 0.0005111999999826367 delitem SortedKeyList 100000 0.005993999999986954 0.006076000000007298 0.006045999999969354 0.006038600000010774 delitem SortedKeyList 1000000 0.07480199999997694 0.07708400000001348 0.07598999999993339 0.07600719999998092 delitem B-Tree 100 3.999999989900971e-06 4.9999999873762135e-06 3.999999989900971e-06 4.1999999893960195e-06 delitem B-Tree 1000 1.6999999957079126e-05 1.900000006571645e-05 1.8000000068241206e-05 1.780000004600879e-05 delitem B-Tree 10000 0.00015699999994467362 0.00016899999991437653 0.00016000000005078618 0.00016219999997701962 delitem B-Tree 100000 0.0016669999999976426 0.0017490000000179862 0.0016960000000381115 0.001698200000032557 delitem B-Tree 1000000 0.01975500000003194 0.0219249999998965 0.020495999999980086 0.02075680000000375 delitem List 100 2.999999992425728e-06 4.9999999873762135e-06 3.999999989900971e-06 3.80000001314329e-06 delitem List 1000 1.5999999959603883e-05 1.6999999957079126e-05 1.5999999959603883e-05 1.619999995909893e-05 delitem List 10000 0.00032000000010157237 0.0003560000000106811 0.00034099999993486563 0.0003389999999853899 delitem List 100000 0.030290000000036343 0.03152699999998276 0.0311940000000277 0.03098840000002383 bisect SortedList 100 2.999999992425728e-06 3.000000106112566e-06 2.999999992425728e-06 3.0000000151630956e-06 bisect SortedList 1000 1.099999997222767e-05 1.600000007329072e-05 1.5999999959603883e-05 1.4799999985370959e-05 bisect SortedList 10000 0.00021900000001551234 0.00024099999995996768 0.00022200000000793807 0.00022519999999985884 bisect SortedList 100000 0.002751999999986765 0.002792999999996937 0.002778000000034808 0.002778800000010051 bisect SortedList 1000000 0.0384199999999737 0.039437000000020817 0.03856699999994362 0.03877759999998034 bisect SortedKeyList 100 2.999999992425728e-06 3.999999989900971e-06 3.999999989900971e-06 3.599999990910874e-06 bisect SortedKeyList 1000 1.2999999967178155e-05 1.499999996212864e-05 1.499999996212864e-05 1.4399999963643495e-05 bisect SortedKeyList 10000 0.00024199999995744292 0.00024600000006103073 0.0002439999999523934 0.00024399999999786816 bisect SortedKeyList 100000 0.003003000000035172 0.0030480000000352447 0.003035999999951855 0.0030315999999857013 bisect SortedKeyList 1000000 0.04089400000009391 0.04425100000003113 0.042888999999945554 0.04273960000002717 bisect B-Tree 100 4.9999999873762135e-06 7.000000096013537e-06 5.999999984851456e-06 5.800000008093775e-06 bisect B-Tree 1000 4.899999998997373e-05 5.899999996472616e-05 4.999999998744897e-05 5.179999998290441e-05 bisect B-Tree 10000 0.0006069999999454012 0.0006399999999757711 0.0006090000000540385 0.0006155999999919004 bisect B-Tree 100000 0.007712000000083208 0.007875000000012733 0.007729000000040287 0.007767600000033781 bisect B-Tree 1000000 0.10034000000007381 0.10323000000005322 0.10259999999993852 0.10204800000003615 bisect List 100 1.9999999949504854e-06 3.999999989900971e-06 1.9999999949504854e-06 2.599999993435631e-06 bisect List 1000 7.999999979801942e-06 9.999999974752427e-06 7.999999979801942e-06 8.600000001024455e-06 bisect List 10000 7.299999992937956e-05 7.300000004306639e-05 7.300000004306639e-05 7.299999999759166e-05 bisect List 100000 0.0010499999999638021 0.001224999999976717 0.0011440000000675354 0.0011398000000099272 bisect List 1000000 0.017732000000023618 0.018582000000037624 0.018457000000012158 0.018214800000032484 getitem SortedList 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.999999992425728e-06 getitem SortedList 1000 8.00000009348878e-06 1.1000000085914508e-05 1.099999997222767e-05 1.0000000042964529e-05 getitem SortedList 10000 0.0002389999999650172 0.00024200000007112976 0.00024099999995996768 0.00024079999998321 getitem SortedList 100000 0.00281900000004498 0.003121000000078311 0.0028379999999970096 0.0028908000000001264 getitem SortedList 1000000 0.035321999999951004 0.03638999999998305 0.03549299999997402 0.03573679999997239 getitem SortedKeyList 100 2.999999992425728e-06 3.999999989900971e-06 2.999999992425728e-06 3.199999991920777e-06 getitem SortedKeyList 1000 8.999999977277184e-06 1.0000000088439265e-05 9.999999974752427e-06 9.600000021237065e-06 getitem SortedKeyList 10000 0.00024099999995996768 0.0002439999999523934 0.00024200000007112976 0.00024240000002464512 getitem SortedKeyList 100000 0.0028090000000702275 0.0029579999999214124 0.0028340000000071086 0.0028624000000036175 getitem SortedKeyList 1000000 0.035601000000042404 0.03665799999998853 0.03616299999998773 0.03611100000000533 getitem B-Tree 100 1.9999999949504854e-06 3.999999989900971e-06 2.999999992425728e-06 2.7999999929306794e-06 getitem B-Tree 1000 7.999999979801942e-06 9.999999974752427e-06 8.999999977277184e-06 8.800000000519503e-06 getitem B-Tree 10000 7.400000004054164e-05 7.600000003549212e-05 7.499999992433004e-05 7.480000001578447e-05 getitem B-Tree 100000 0.0008770000000595246 0.0009090000000924192 0.0008850000000393266 0.00088920000005146 getitem B-Tree 1000000 0.01164599999992788 0.012518999999997504 0.011718999999970947 0.011854199999993398 getitem List 100 9.999999974752427e-07 2.999999992425728e-06 9.999999974752427e-07 1.799999995455437e-06 getitem List 1000 3.999999989900971e-06 4.9999999873762135e-06 3.999999989900971e-06 4.399999988891068e-06 getitem List 10000 1.9999999949504854e-05 2.1000000060666935e-05 2.0000000063191692e-05 2.0200000017212004e-05 getitem List 100000 0.00044400000001587614 0.0005170000000589425 0.0004500000000007276 0.0004632000000356129 getitem List 1000000 0.006242999999813037 0.007542999999941458 0.007188000000041939 0.0069713999999748925 pop SortedList 100 3.000000106112566e-06 5.000000101063051e-06 3.999999989900971e-06 4.000000035375706e-06 pop SortedList 1000 1.5000000075815478e-05 1.699999984339229e-05 1.5999999959603883e-05 1.600000000507862e-05 pop SortedList 10000 0.00012599999990925426 0.00016500000015184924 0.00012900000001536682 0.00013579999999819848 pop SortedList 100000 0.0012409999999363208 0.0014040000000932196 0.0012439999998150597 0.0012757999999848835 pop SortedList 1000000 0.012754000000086307 0.013134000000036394 0.012793999999985317 0.012891600000057225 pop SortedKeyList 100 2.9999998787388904e-06 6.000000212225132e-06 3.999999989900971e-06 4.400000034365803e-06 pop SortedKeyList 1000 1.699999984339229e-05 1.799999995455437e-05 1.7000000070765964e-05 1.7399999933331856e-05 pop SortedKeyList 10000 0.00013600000011138036 0.00017800000000534055 0.00013899999999011925 0.000150000000030559 pop SortedKeyList 100000 0.0013460000000122818 0.0013719999999466381 0.0013480000000072323 0.0013535999999930936 pop SortedKeyList 1000000 0.013731999999890832 0.013993000000027678 0.013793000000077882 0.013816200000019308 pop B-Tree 100 3.999999989900971e-06 5.000000101063051e-06 3.999999989900971e-06 4.200000012133387e-06 pop B-Tree 1000 1.3999999964653398e-05 1.5999999959603883e-05 1.4999999848441803e-05 1.5199999916148954e-05 pop B-Tree 10000 0.0001300000001265289 0.00013600000011138036 0.0001319999998941057 0.00013279999998303538 pop B-Tree 100000 0.0013770000000477012 0.0015130000001590815 0.001396999999997206 0.0014130000000477593 pop B-Tree 1000000 0.015039000000115266 0.015426999999817781 0.015232000000196422 0.015233799999987242 pop List 100 1.9999999949504854e-06 3.999999989900971e-06 2.000000222324161e-06 2.6000000161729986e-06 pop List 1000 7.000000096013537e-06 7.999999979801942e-06 7.000000096013537e-06 7.400000049528898e-06 pop List 10000 4.3000000005122274e-05 4.399999988891068e-05 4.3000000005122274e-05 4.319999998187995e-05 pop List 100000 0.00041599999985919567 0.00046999999995023245 0.00041699999997035775 0.00042879999996330297 pop List 1000000 0.004121999999824766 0.004269000000022061 0.004185999999890555 0.00418479999993906 index SortedList 100 3.000000106112566e-06 4.999999873689376e-06 3.999999989900971e-06 3.999999989900971e-06 index SortedList 1000 1.5999999959603883e-05 1.7000000070765964e-05 1.5999999959603883e-05 1.6400000004068715e-05 index SortedList 10000 0.00026000000002568413 0.00037600000018755964 0.00027100000011159864 0.00030120000010356305 index SortedList 100000 0.003176999999823238 0.0032070000002022425 0.003191000000015265 0.0031903999999940424 index SortedList 1000000 0.04250200000001314 0.04415800000015224 0.04307799999992312 0.04318420000004153 index SortedKeyList 100 2.9999998787388904e-06 5.000000101063051e-06 3.999999989900971e-06 3.80000001314329e-06 index SortedKeyList 1000 1.9999999949504854e-05 2.1000000060666935e-05 1.9999999949504854e-05 2.039999994849495e-05 index SortedKeyList 10000 0.0003059999999095453 0.00030800000013186946 0.00030600000013691897 0.00030679999999847494 index SortedKeyList 100000 0.003647000000000844 0.0037239999999201245 0.0036820000000261643 0.0036863999999695806 index SortedKeyList 1000000 0.049436000000014246 0.04995700000017678 0.04956100000003971 0.049656600000071195 index B-Tree 100 5.999999984851456e-06 7.000000096013537e-06 6.000000212225132e-06 6.400000029316289e-06 index B-Tree 1000 5.599999985861359e-05 5.899999996472616e-05 5.599999985861359e-05 5.6599999879836105e-05 index B-Tree 10000 0.0006799999998747808 0.0006920000000718574 0.0006809999999859428 0.0006832000000031258 index B-Tree 100000 0.008518000000094617 0.008589000000029046 0.00853200000005927 0.008538799999996627 index B-Tree 1000000 0.10796200000004319 0.11414100000001781 0.11040699999989556 0.11094459999994796 index List 100 2.9999998787388904e-06 1.3000000080864993e-05 3.999999989900971e-06 5.400000009103678e-06 index List 1000 1.4999999848441803e-05 1.5000000075815478e-05 1.5000000075815478e-05 1.4999999984866009e-05 index List 10000 0.00014899999996487168 0.00015299999995477265 0.00014899999996487168 0.00015019999996184196 index List 100000 0.0023120000000744767 0.002623000000085085 0.0025200000000040745 0.002477800000042407 index List 1000000 0.03247899999996662 0.035075000000006185 0.03279999999995198 0.03326759999999922 iter SortedList 100 8.999999863590347e-06 1.1000000085914508e-05 9.999999974752427e-06 1.0000000020227163e-05 iter SortedList 1000 8.800000000519503e-05 9.10000001113076e-05 8.899999988898344e-05 8.920000000216533e-05 iter SortedList 10000 0.0009090000000924192 0.0009539999998651183 0.0009220000001732842 0.0009268000000247411 iter SortedList 100000 0.009352000000035332 0.009664999999813517 0.009444999999914216 0.009487599999965823 iter SortedList 1000000 0.09363999999982298 0.09835399999997207 0.09518500000012864 0.09607099999993807 iter SortedKeyList 100 9.999999974752427e-06 1.0999999858540832e-05 9.999999974752427e-06 1.0199999996984843e-05 iter SortedKeyList 1000 8.900000011635711e-05 9.099999988393392e-05 8.900000011635711e-05 8.960000004663016e-05 iter SortedKeyList 10000 0.0009110000000873697 0.0009719999998196727 0.0009300000001530861 0.0009371999999984836 iter SortedKeyList 100000 0.00938599999994949 0.009615000000167129 0.009581999999909385 0.009520199999997203 iter SortedKeyList 1000000 0.09366099999988364 0.09991199999990386 0.09398299999998017 0.0953635999999733 iter B-Tree 100 2.7999999929306796e-05 4.0000000126383384e-05 2.9000000040468876e-05 3.120000005765178e-05 iter B-Tree 1000 0.000275999999985288 0.00028199999997013947 0.000275999999985288 0.0002775999999812484 iter B-Tree 10000 0.002821999999923719 0.0030020000001513836 0.0028500000000803993 0.0028782000000319385 iter B-Tree 100000 0.02856400000018766 0.029635999999982232 0.02894800000012765 0.029038400000035835 iter B-Tree 1000000 0.2856850000000577 0.2950060000000576 0.2865039999999226 0.2879156000000421 iter List 100 7.999999979801942e-06 9.999999974752427e-06 9.000000090964022e-06 9.000000045489286e-06 iter List 1000 8.400000001529406e-05 8.599999978287087e-05 8.499999989908247e-05 8.479999996779952e-05 iter List 10000 0.0008689999999660358 0.0009600000000773434 0.0008920000000216532 0.0009002000000236876 iter List 100000 0.009219000000030064 0.009351000000151544 0.00927599999999984 0.009277800000018033 iter List 1000000 0.09189999999989595 0.09612399999991794 0.0938419999999951 0.09395559999993566 count SortedList 100 2.9999998787388904e-06 3.999999989900971e-06 2.9999998787388904e-06 3.3999999232037227e-06 count SortedList 1000 1.699999984339229e-05 1.799999995455437e-05 1.7000000070765964e-05 1.7199999956574174e-05 count SortedList 10000 0.00016299999992952507 0.00016700000014679972 0.00016499999992447556 0.00016500000001542502 count SortedList 100000 0.0021389999999428255 0.0022360000000389846 0.0021940000001450244 0.002192600000034872 count SortedList 1000000 0.024713000000019747 0.02616400000010799 0.025234000000182277 0.025307400000019697 count SortedKeyList 100 2.9999998787388904e-06 4.999999873689376e-06 3.999999989900971e-06 3.7999999676685547e-06 count SortedKeyList 1000 1.699999984339229e-05 1.799999995455437e-05 1.7000000070765964e-05 1.720000000204891e-05 count SortedKeyList 10000 0.00015000000007603376 0.00019200000019736763 0.00015199999984361057 0.00015939999998408893 count SortedKeyList 100000 0.0019199999999273132 0.001987000000099215 0.0019570000001749577 0.0019522000000506523 count SortedKeyList 1000000 0.025525000000016007 0.027835000000095533 0.026548000000047978 0.02665740000002188 count B-Tree 100 6.999999868639861e-06 1.900000006571645e-05 8.999999863590347e-06 1.0400000019217259e-05 count B-Tree 1000 6.69999999445281e-05 7.900000014160469e-05 6.69999999445281e-05 6.960000000617583e-05 count B-Tree 10000 0.0007840000000669534 0.0009079999999812571 0.0007890000001680164 0.0008194000000457891 count B-Tree 100000 0.009714999999914653 0.010804999999891152 0.009836999999834006 0.010002599999961604 count B-Tree 1000000 0.11999100000002727 0.13054399999987254 0.12052900000003319 0.12405859999998939 count List 100 1.9999999949504854e-06 3.999999989900971e-06 3.000000106112566e-06 3.199999991920777e-06 count List 1000 1.3999999964653398e-05 2.5000000050567905e-05 1.5000000075815478e-05 1.6800000048533546e-05 count List 10000 0.00013899999999011925 0.00016200000004573667 0.00013999999987390765 0.00014459999993050588 count List 100000 0.0022360000000389846 0.002448000000185857 0.0023909999999887077 0.002368600000045262 count List 1000000 0.031727999999930034 0.03392700000017612 0.032110000000102445 0.03271860000008928 priorityqueue SortedList 100 2.599999993435631e-05 2.9000000040468876e-05 2.9000000040468876e-05 2.8000000020256267e-05 priorityqueue SortedList 1000 0.00025899999991452205 0.00027000000000043656 0.0002620000000206346 0.0002635999999711203 priorityqueue SortedList 10000 0.002563000000009197 0.0027159999999639695 0.002647000000024491 0.0026422000000366095 priorityqueue SortedList 100000 0.028103999999984808 0.029446999999890977 0.02849900000001071 0.02860899999996036 priorityqueue SortedList 1000000 0.3539700000001176 0.37881100000004153 0.35752899999988585 0.36160559999998443 priorityqueue SortedKeyList 100 3.200000014658144e-05 4.4000000116284355e-05 3.90000000152213e-05 3.9000000060696036e-05 priorityqueue SortedKeyList 1000 0.0003019999999196443 0.00031100000001060835 0.0003070000000207074 0.00030699999997523263 priorityqueue SortedKeyList 10000 0.0030759999999645515 0.0032020000001011795 0.003152999999883832 0.0031463999999687075 priorityqueue SortedKeyList 100000 0.03342200000020057 0.034619999999904394 0.03379700000004959 0.03392180000000735 priorityqueue SortedKeyList 1000000 0.42622099999994134 0.4526860000000852 0.4326980000000731 0.43530479999999444 priorityqueue B-Tree 100 3.199999991920777e-05 4.6999999995023245e-05 3.999999989900971e-05 3.979999996772676e-05 priorityqueue B-Tree 1000 0.0005489999998644635 0.0006410000000869331 0.000559999999950378 0.0005761999999322143 priorityqueue B-Tree 10000 0.0075930000000425935 0.008438999999953012 0.008131000000048516 0.008080400000017108 priorityqueue B-Tree 100000 0.09774000000015803 0.10509000000001834 0.09847399999989648 0.09957800000001953 priorityqueue B-Tree 1000000 1.398388999999952 1.4385150000000522 1.3989789999998266 1.4104125999999724 priorityqueue List 100 2.099999983329326e-05 3.500000002532033e-05 2.6999999818144715e-05 2.6999999909094187e-05 priorityqueue List 1000 0.0002250000000003638 0.0002389999999650172 0.00023000000010142685 0.00023100000003069 priorityqueue List 10000 0.003819000000021333 0.003960000000006403 0.0038830000000871223 0.003875000000016371 priorityqueue List 100000 0.21446300000002338 0.21929399999999077 0.21868900000004032 0.21755300000004354 multiset SortedList 100 2.2999999828243745e-05 2.999999992425728e-05 2.599999993435631e-05 2.6599999910104088e-05 multiset SortedList 1000 0.00022800000010647636 0.0002489999999397696 0.00022899999999026477 0.00023420000002261077 multiset SortedList 10000 0.002688999999918451 0.0027970000001005246 0.0027029999998831045 0.0027295999999751076 multiset SortedList 100000 0.03236500000002707 0.0328389999999672 0.0326230000000578 0.032586799999990035 multiset SortedList 1000000 0.3986099999999624 0.4272680000001401 0.40240200000016557 0.4066638000000694 multiset SortedKeyList 100 3.0999999808045686e-05 3.700000002027082e-05 3.500000002532033e-05 3.4000000005107724e-05 multiset SortedKeyList 1000 0.000275999999985288 0.0003039999999145948 0.00028500000007625204 0.0002879999999549909 multiset SortedKeyList 10000 0.003189999999904103 0.0035340000001724547 0.0033189999999194697 0.003368000000000393 multiset SortedKeyList 100000 0.035781000000042695 0.03604999999993197 0.035926999999901454 0.035943600000018706 multiset SortedKeyList 1000000 0.48032499999999345 0.5109739999998055 0.48289900000008856 0.4897479999999632 multiset B-Tree 100 4.899999998997373e-05 6.299999995462713e-05 5.2000000096086296e-05 5.399999995461258e-05 multiset B-Tree 1000 0.000665000000026339 0.0007880000000568543 0.0006819999998697313 0.0007025999999768828 multiset B-Tree 10000 0.01054100000010294 0.01079400000003261 0.010770999999976993 0.01072560000006888 multiset B-Tree 100000 0.14354400000001988 0.15487099999995735 0.1443500000000313 0.1470915999999761 multiset B-Tree 1000000 2.0287000000000717 2.089472999999998 2.058277000000089 2.0598664000000553 multiset List 100 2.5000000050567905e-05 2.999999992425728e-05 2.700000004551839e-05 2.7000000000043655e-05 multiset List 1000 0.00024600000006103073 0.0002730000001065491 0.0002500000000509317 0.0002546000000620552 multiset List 10000 0.003198999999995067 0.003308000000060929 0.0032570000000760047 0.0032594000000244704 multiset List 100000 0.09947499999998399 0.10497899999995752 0.10188100000004852 0.10220859999999447 ranking SortedList 100 2.700000004551839e-05 3.100000003541936e-05 2.89999998130952e-05 2.8799999972761726e-05 ranking SortedList 1000 0.00024699999994481914 0.00026700000012169767 0.0002489999999397696 0.00025440000003982275 ranking SortedList 10000 0.003808999999819207 0.003995000000031723 0.003960000000006403 0.003907799999979034 ranking SortedList 100000 0.04508000000009815 0.04560900000001311 0.04535200000009354 0.0453424000000723 ranking SortedList 1000000 0.5937540000002173 0.6206319999998868 0.5981180000001132 0.6015096000000539 ranking SortedKeyList 100 2.999999992425728e-05 3.399999991415825e-05 3.299999980299617e-05 3.2199999941440184e-05 ranking SortedKeyList 1000 0.00027399999999033753 0.00029400000016721606 0.0002870000000712025 0.0002854000000297674 ranking SortedKeyList 10000 0.004087000000026819 0.004257000000052358 0.004175000000032014 0.004159800000024916 ranking SortedKeyList 100000 0.04978500000015629 0.05078000000003158 0.05005200000005061 0.050122000000055775 ranking SortedKeyList 1000000 0.6553949999999986 0.6876939999999649 0.6603959999999915 0.6640069999999924 ranking B-Tree 100 3.999999989900971e-05 8.900000011635711e-05 5.29999999798747e-05 6.0200000007171184e-05 ranking B-Tree 1000 0.0004999999998744897 0.0005929999999807478 0.0005129999999553547 0.0005259999999452702 ranking B-Tree 10000 0.007763000000068132 0.007951999999932013 0.007797999999866079 0.007830200000034893 ranking B-Tree 100000 0.10082299999999123 0.10895200000004479 0.1017460000000483 0.10366840000001502 ranking B-Tree 1000000 1.410041000000092 1.4706860000001143 1.4312949999998636 1.433772799999997 ranking List 100 2.300000005561742e-05 3.100000003541936e-05 3.0999999808045686e-05 2.8399999973771627e-05 ranking List 1000 0.00022699999999531428 0.0003039999999145948 0.00024199999984375609 0.0002557999999226013 ranking List 10000 0.0029010000000653235 0.0030930000000353175 0.002956999999923937 0.0029784000000290687 ranking List 100000 0.09790900000007241 0.1015620000000581 0.09822399999984555 0.098939399999972 neighbor SortedList 100 2.3999999939405825e-05 3.199999991920777e-05 2.700000004551839e-05 2.7399999999033754e-05 neighbor SortedList 1000 0.00023399999986395414 0.0002520000000458822 0.00024200000007112976 0.00024279999997816047 neighbor SortedList 10000 0.0033979999998337007 0.0035370000000511936 0.003453999999919688 0.0034615999999459746 neighbor SortedList 100000 0.04086400000005597 0.04184399999985544 0.041318000000046595 0.04124879999999394 neighbor SortedList 1000000 0.5555030000000443 0.5891280000000734 0.5569709999999759 0.5638116000000082 neighbor SortedKeyList 100 2.7999999929306796e-05 3.600000013648241e-05 3.400000014153193e-05 3.2400000054622066e-05 neighbor SortedKeyList 1000 0.00026800000000548607 0.0003059999999095453 0.0002750000001014996 0.0002820000000156142 neighbor SortedKeyList 10000 0.00373899999999594 0.0039340000000720465 0.003889999999955762 0.003845600000022387 neighbor SortedKeyList 100000 0.04492400000003727 0.04870000000005348 0.048514999999952124 0.04763659999998708 neighbor SortedKeyList 1000000 0.608545999999933 0.6241390000000138 0.6139679999998862 0.6159238000000187 neighbor B-Tree 100 4.600000011123484e-05 6.69999999445281e-05 5.500000020219886e-05 5.500000006577466e-05 neighbor B-Tree 1000 0.0006730000000061409 0.0007640000001174485 0.0007500000001527951 0.0007304000000203815 neighbor B-Tree 10000 0.011029999999891515 0.011222999999972672 0.011066999999911786 0.01111919999998463 neighbor B-Tree 100000 0.1452790000000732 0.15701899999999114 0.14667400000007547 0.14860880000005636 neighbor B-Tree 1000000 2.029789999999821 2.113002999999935 2.037078000000065 2.0629731999999423 neighbor List 100 1.9999999949504854e-05 2.499999982319423e-05 2.2999999828243745e-05 2.239999998892017e-05 neighbor List 1000 0.00020500000005085894 0.0003050000000257569 0.00021300000003066089 0.00022939999998925487 neighbor List 10000 0.002731000000039785 0.002987000000075568 0.0029180000001360895 0.0028906000000461065 neighbor List 100000 0.0962090000000444 0.10637399999995978 0.10284299999989344 0.10213999999996304 intervals SortedList 100 3.100000003541936e-05 3.80000001314329e-05 3.599999990910874e-05 3.49999999798456e-05 intervals SortedList 1000 0.0002779999999802385 0.0002899999999499414 0.00028899999983877933 0.0002865999999357882 intervals SortedList 10000 0.004310999999916021 0.004561999999850741 0.004400000000032378 0.0044151999999940015 intervals SortedList 100000 0.05184499999995751 0.052572999999938475 0.05239900000015041 0.05231079999998656 intervals SortedList 1000000 0.6859540000000379 0.702590999999984 0.6878810000000612 0.6906467999999677 intervals SortedKeyList 100 3.300000003036985e-05 4.1999999893960194e-05 3.90000000152213e-05 3.839999999399879e-05 intervals SortedKeyList 1000 0.00030600000013691897 0.00038099999983387534 0.00032400000009147334 0.0003369999999904394 intervals SortedKeyList 10000 0.004635000000007494 0.004732000000103653 0.004670000000032815 0.004677800000035859 intervals SortedKeyList 100000 0.05583699999988312 0.05732699999998658 0.056168000000070606 0.05634439999994356 intervals SortedKeyList 1000000 0.7385789999998451 0.780715999999984 0.7417749999999614 0.7496025999999801 intervals B-Tree 100 3.600000013648241e-05 6.099999995967664e-05 4.799999987881165e-05 4.720000001725566e-05 intervals B-Tree 1000 0.0005020000000968139 0.0005739999999150314 0.0005360000000109721 0.0005347999999685271 intervals B-Tree 10000 0.007279000000153246 0.0075130000000172 0.007413000000042302 0.007382400000096823 intervals B-Tree 100000 0.09547700000007353 0.10272099999997408 0.09699799999998504 0.09760840000003554 intervals B-Tree 1000000 1.3585219999999936 1.4131740000000264 1.38794699999994 1.387116799999967 intervals List 100 3.200000014658144e-05 3.700000002027082e-05 3.600000013648241e-05 3.5600000046542846e-05 intervals List 1000 0.00021900000001551234 0.0002480000000559812 0.00023000000010142685 0.0002316000000519125 intervals List 10000 0.0032300000000304863 0.003439000000071246 0.003256999999848631 0.0033158000000184985 intervals List 100000 0.15335000000004584 0.15744100000006256 0.155666999999994 0.15546840000001794 init SortedList 100 1.3999999964653398e-05 1.5999999959603883e-05 1.5999999959603883e-05 1.5199999961623688e-05 init SortedList 1000 0.0001609999999345746 0.000183999999990192 0.00016200000004573667 0.00016620000001239533 init SortedList 10000 0.0022190000001955923 0.002345999999988635 0.002300000000104774 0.0022918000000572646 init SortedList 100000 0.03106100000013612 0.0321240000000671 0.03139000000010128 0.031504400000039824 init SortedList 1000000 0.538817999999992 0.5744819999999891 0.5524390000000494 0.5551492000000507 init SortedKeyList 100 2.999999992425728e-05 3.400000014153193e-05 3.0999999808045686e-05 3.1399999988934725e-05 init SortedKeyList 1000 0.0003019999999196443 0.0003670000000965956 0.0003339999998388521 0.00033360000002176094 init SortedKeyList 10000 0.0036340000001473527 0.003857000000152766 0.0037659999998140847 0.003771599999981845 init SortedKeyList 100000 0.04631500000004962 0.04771899999991547 0.04733499999997548 0.047132999999985256 init SortedKeyList 1000000 0.7917740000000322 0.8293280000000323 0.7977699999999004 0.8066255999999612 init B-Tree 100 0.0002939999999398424 0.00029599999993479287 0.00029500000005100446 0.00029499999996005497 init B-Tree 1000 0.005186000000094282 0.005469999999831998 0.005235999999968044 0.005274000000008527 init B-Tree 10000 0.08074200000010023 0.0851150000000871 0.08434299999998984 0.08326740000002246 init B-Tree 100000 1.1695760000000064 1.2117769999999837 1.1781780000001163 1.187289200000032 init List 100 4.3000000005122274e-05 4.500000000007276e-05 4.4000000116284355e-05 4.3800000048577205e-05 init List 1000 0.0005329999999048596 0.0006280000000060681 0.0005349999998998101 0.0005529999999907886 init List 10000 0.007485999999971682 0.5564289999999801 0.007669999999961874 0.11740740000000187 init List 100000 0.13533800000004703 0.14647100000001956 0.13723499999991873 0.1385848000000351 init List 1000000 2.2048299999999017 2.2933080000000245 2.2577429999998913 2.250877999999966 python-sortedcontainers-2.1.0/tests/results_sortedset.txt000066400000000000000000001750771337542712000241440ustar00rootroot00000000000000contains SortedSet 100 2.000000000279556e-06 2.9999999995311555e-06 2.000000000279556e-06 2.2000000001298757e-06 contains SortedSet 1000 4.000000000559112e-06 4.999999999810711e-06 4.999999999810711e-06 4.600000000110072e-06 contains SortedSet 10000 1.799999999896329e-05 1.9999999999242846e-05 1.8999999999991246e-05 1.8999999999635973e-05 contains SortedSet 100000 0.00022799999999989495 0.0003449999999993736 0.0002300000000001745 0.0002521999999999025 contains SortedSet 1000000 0.0032149999999990797 0.0036629999999995277 0.003470000000000084 0.0034489999999998133 contains B-Tree 100 6.000000002615025e-06 7.000000000090267e-06 7.000000000090267e-06 6.800000000595219e-06 contains B-Tree 1000 5.699999999819738e-05 6.000000000128125e-05 5.799999999922534e-05 5.839999999963652e-05 contains B-Tree 10000 0.0006899999999987472 0.0008209999999984063 0.0007300000000007856 0.0007446000000001618 contains B-Tree 100000 0.008764999999996803 0.009173999999994464 0.008969999999997924 0.008980599999997452 contains B-Tree 1000000 0.11045100000001185 0.11808599999997682 0.11118700000002946 0.11246920000000955 contains RB-Tree 100 2.999999992425728e-06 3.999999989900971e-06 3.000000049269147e-06 3.400000002784509e-06 contains RB-Tree 1000 5.999999984851456e-06 7.000000039170118e-06 5.999999984851456e-06 6.200000007083872e-06 contains RB-Tree 10000 4.200000000764703e-05 4.400000000259752e-05 4.3000000005122274e-05 4.280000000562722e-05 contains RB-Tree 100000 0.0012120000000095388 0.0014770000000225991 0.0013100000000463297 0.001325800000029176 contains RB-Tree 1000000 0.016548999999997704 0.01824800000002824 0.016623000000038246 0.017103800000006684 contains Skip-List 100 5.999999984851456e-06 7.999999979801942e-06 6.999999982326699e-06 6.999999993695383e-06 contains Skip-List 1000 4.3000000005122274e-05 4.899999998997373e-05 4.5999999997548e-05 4.5999999997548e-05 contains Skip-List 10000 0.000536999999951604 0.0005869999999958964 0.0005510000000299442 0.0005574000000024171 contains Skip-List 100000 0.007157000000006519 0.008127000000001772 0.007705000000044038 0.007621000000017375 contains Skip-List 1000000 0.10534099999995306 0.11495100000001912 0.10926900000004025 0.10997820000000047 iter SortedSet 100 9.999999974752427e-06 1.2000000026546331e-05 1.2000000026546331e-05 1.120000000582877e-05 iter SortedSet 1000 9.000000000014552e-05 0.0001330000000052678 9.299999999257125e-05 0.00010059999999612046 iter SortedSet 10000 0.0009110000000305263 0.0010359999999991487 0.0009210000000052787 0.0009444000000030428 iter SortedSet 100000 0.009213000000045213 0.009515999999962332 0.009326999999984764 0.009343599999988328 iter SortedSet 1000000 0.09405099999997901 0.0991989999999987 0.09441399999997202 0.0954723999999942 iter B-Tree 100 0.00010199999996984843 0.00016499999998131898 0.00010299999996732367 0.00011519999998199637 iter B-Tree 1000 0.0010580000000004475 0.001102000000003045 0.0010609999999928732 0.0010733999999956723 iter B-Tree 10000 0.010875999999996111 0.015094000000033247 0.010964000000001306 0.011814400000002934 iter B-Tree 100000 0.10858899999999494 0.11451999999997042 0.11185599999998885 0.11155679999998255 iter B-Tree 1000000 1.0608140000000503 1.1194560000000138 1.087900999999988 1.0867148000000042 iter RB-Tree 100 9.999999974752427e-06 1.099999997222767e-05 1.099999997222767e-05 1.059999999597494e-05 iter RB-Tree 1000 8.900000000267028e-05 9.000000000014552e-05 8.900000000267028e-05 8.940000000166038e-05 iter RB-Tree 10000 0.0008980000000065047 0.0009380000000192013 0.0009009999999989304 0.0009111999999959153 iter RB-Tree 100000 0.009372999999982312 0.009666000000038366 0.009447000000022854 0.009491800000000694 iter RB-Tree 1000000 0.09401600000001054 0.09838999999999487 0.09471700000005967 0.09527199999999994 iter Skip-List 100 3.700000002027082e-05 3.90000000152213e-05 3.800000001774606e-05 3.780000001825101e-05 iter Skip-List 1000 0.000325999999972737 0.00040500000000065484 0.00032699999997021223 0.0003423999999995431 iter Skip-List 10000 0.003308000000060929 0.0034530000000358996 0.003309000000058404 0.0033562000000529222 iter Skip-List 100000 0.0464759999999842 0.050266999999962536 0.0480329999999185 0.04798879999998462 iter Skip-List 1000000 0.5166499999999132 0.5407949999998891 0.5282799999999952 0.5279643999999507 add SortedSet 100 3.999999989900971e-06 7.000000096013537e-06 4.9999999873762135e-06 5.400000009103678e-06 add SortedSet 1000 2.3999999939405825e-05 2.4999999936881068e-05 2.4000000053092663e-05 2.4200000007112975e-05 add SortedSet 10000 0.0002119999999194988 0.00025600000003578316 0.0002139999999144493 0.0002223999999841908 add SortedSet 100000 0.002307999999970889 0.002447000000074695 0.0023280000000340806 0.0023458000000346146 add SortedSet 1000000 0.024850000000014916 0.025578999999993357 0.025171000000000276 0.025186200000007375 add B-Tree 100 1.099999997222767e-05 1.200000008338975e-05 1.1999999969702912e-05 1.1599999993450183e-05 add B-Tree 1000 0.00011800000004313915 0.00012300000003051537 0.00012000000003808964 0.00012060000003657478 add B-Tree 10000 0.0017010000000254877 0.00179800000000796 0.0017090000000052896 0.0017332000000124027 add RB-Tree 100 1.9999999949504854e-06 2.999999992425728e-06 1.9999999949504854e-06 2.3999999939405824e-06 add RB-Tree 1000 4.9999999873762135e-06 7.000000096013537e-06 5.999999984851456e-06 6.000000007588824e-06 add RB-Tree 10000 4.200000000764703e-05 4.500000000007276e-05 4.3000000005122274e-05 4.340000000411237e-05 add RB-Tree 100000 0.0005620000000590153 0.0006919999999581705 0.0005720000000337677 0.0005959999999959109 add RB-Tree 1000000 0.007778999999914049 0.008284000000003289 0.00795899999991434 0.007968199999959324 add Skip-List 100 7.999999979801942e-06 8.999999977277184e-06 8.00000009348878e-06 8.400000001529407e-06 add Skip-List 1000 5.3999999977349944e-05 5.699999996977567e-05 5.499999997482519e-05 5.499999999756255e-05 add Skip-List 10000 0.0005890000001045337 0.0014800000000150249 0.0006419999999707215 0.0008110000000215223 add Skip-List 100000 0.007175999999958549 0.008207999999967797 0.007342999999991662 0.007506799999987379 add Skip-List 1000000 0.08673399999997855 0.09074799999984862 0.08722899999997935 0.08826099999992039 update_tiny SortedSet 100 1.7000000070765964e-05 1.9999999949504854e-05 1.799999995455437e-05 1.820000002226152e-05 update_tiny SortedSet 1000 1.8999999838342774e-05 2.000000017687853e-05 1.9999999949504854e-05 1.9600000041464227e-05 update_tiny SortedSet 10000 2.000000017687853e-05 2.700000004551839e-05 2.199999994445534e-05 2.2400000034394907e-05 update_tiny SortedSet 100000 3.299999980299617e-05 3.700000002027082e-05 3.500000002532033e-05 3.49999999798456e-05 update_tiny SortedSet 1000000 4.399999988891068e-05 5.0999999984924216e-05 4.8000000106185325e-05 4.760000001624576e-05 update_tiny B-Tree 100 0.00012400000014167745 0.00015499999994972313 0.00012999999989915523 0.0001332000000275002 update_tiny B-Tree 1000 0.00017099999990932702 0.00017800000000534055 0.0001720000000204891 0.0001730000000407017 update_tiny B-Tree 10000 0.00023499999997511622 0.000279999999975189 0.00026800000000548607 0.0002577999999630265 update_tiny B-Tree 100000 0.0003010000000358559 0.0003530000001319422 0.0003150000000005093 0.0003222000000278058 update_tiny B-Tree 1000000 0.00038500000005115 0.00041800000008151983 0.00041200000009666837 0.00040780000003906027 update_tiny RB-Tree 100 4.899999998997373e-05 5.0999999984924216e-05 4.9999999873762135e-05 4.999999996471161e-05 update_tiny RB-Tree 1000 0.00037699999984397436 0.0005129999999553547 0.00037799999995513645 0.0004049999999551801 update_tiny RB-Tree 10000 0.003967999999986205 0.004423999999971784 0.004048000000011598 0.004159799999979441 update_tiny RB-Tree 100000 0.047702000000072076 0.049500999999963824 0.049015999999937776 0.04877080000001115 update_tiny RB-Tree 1000000 0.46235599999999977 0.4755729999999403 0.470154999999977 0.46925460000002206 update_small SortedSet 100 2.199999994445534e-05 2.300000005561742e-05 2.2999999828243745e-05 2.2599999965677853e-05 update_small SortedSet 1000 0.00015199999984361057 0.00015699999994467362 0.00015299999995477265 0.00015339999999923747 update_small SortedSet 10000 0.0015650000000277942 0.0015919999998459389 0.0015670000000227446 0.0015723999999863736 update_small SortedSet 100000 0.015463000000181637 0.015683000000080938 0.015489999999999782 0.015554600000086793 update_small SortedSet 1000000 0.19509799999991628 0.20624399999996967 0.19710299999997005 0.19852959999998349 update_small B-Tree 100 0.00012200000014672696 0.0001459999998587591 0.00012399999991430377 0.00013199999998505518 update_small B-Tree 1000 0.0018239999999423162 0.0019280000001344888 0.0018979999999828578 0.0018804000000272937 update_small B-Tree 10000 0.027002999999922395 0.028145999999878768 0.027419000000008964 0.027599799999916286 update_small B-Tree 100000 0.3513749999999618 0.35481800000002295 0.3522880000000441 0.3527370000000246 update_small B-Tree 1000000 4.6405630000001565 4.652679999999918 4.650622999999996 4.649068400000033 update_small RB-Tree 100 4.9999999873762135e-05 5.400000009103678e-05 5.29999999798747e-05 5.2000000005136825e-05 update_small RB-Tree 1000 0.0004089999999905558 0.0004360000000360742 0.0004119999998692947 0.00041599999999561985 update_small RB-Tree 10000 0.004045999999789274 0.004125999999814667 0.00409100000001672 0.004082599999946979 update_small RB-Tree 100000 0.051433999999972 0.053523000000041066 0.05223399999999856 0.05232660000001488 update_small RB-Tree 1000000 0.49602600000002894 0.5112269999999626 0.5027729999999337 0.5039444000000003 update_medium SortedSet 100 1.3000000080864993e-05 1.4000000192027073e-05 1.3999999964653398e-05 1.3600000102087506e-05 update_medium SortedSet 1000 6.299999995462713e-05 6.499999994957761e-05 6.399999983841553e-05 6.3999999929365e-05 update_medium SortedSet 10000 0.0004899999998997373 0.0004979999998795392 0.0004910000000108994 0.000492599999961385 update_medium SortedSet 100000 0.0052430000000640575 0.005493000000114989 0.005319999999983338 0.005342200000040975 update_medium SortedSet 1000000 0.10835900000006404 0.5456070000000182 0.11003899999991518 0.19707640000001447 update_medium B-Tree 100 0.000647999999955573 0.0006539999999404245 0.0006539999999404245 0.0006515999999464839 update_medium B-Tree 1000 0.010441000000128042 0.01347699999996621 0.010590000000092914 0.011581600000045 update_medium B-Tree 10000 0.14868400000000292 0.14996900000005553 0.14947400000005473 0.14938940000006368 update_medium RB-Tree 100 6.299999995462713e-05 6.599999983336602e-05 6.400000006578921e-05 6.419999995159742e-05 update_medium RB-Tree 1000 0.0005370000001221342 0.0005400000000008731 0.0005390000001170847 0.0005390000000261352 update_medium RB-Tree 10000 0.005325000000084401 0.005447999999887543 0.005392000000028929 0.005386600000019825 update_medium RB-Tree 100000 0.0660360000001674 0.06919199999992998 0.06638900000007197 0.06732080000001588 update_medium RB-Tree 1000000 0.661487999999963 0.6764310000000933 0.671730000000025 0.6707552000000305 update_large SortedSet 100 1.5000000075815478e-05 1.900000006571645e-05 1.600000018697756e-05 1.6600000071775868e-05 update_large SortedSet 1000 8.200000002034358e-05 8.400000001529406e-05 8.300000013150566e-05 8.28000000637985e-05 update_large SortedSet 10000 0.0007809999999608408 0.0008479999999053689 0.0007829999999557913 0.0008010000000012951 update_large SortedSet 100000 0.010771000000204367 0.011015999999926862 0.010956000000078348 0.010905200000024706 update_large SortedSet 1000000 0.1521610000002056 0.16931799999997565 0.153966999999966 0.15957620000003772 update_large B-Tree 100 0.001234000000067681 0.0012389999999413703 0.0012360000000626314 0.0012361999999939144 update_large B-Tree 1000 0.01999500000010812 0.020332000000053085 0.02010500000005777 0.0201164000000972 update_large B-Tree 10000 0.28083200000014585 0.28358699999989767 0.2826469999999972 0.2821830000000318 update_large RB-Tree 100 7.499999992433004e-05 7.699999991928053e-05 7.500000015170372e-05 7.559999999102729e-05 update_large RB-Tree 1000 0.0006579999999303254 0.0007020000000466098 0.0006640000001425506 0.0006774000000405068 update_large RB-Tree 10000 0.006699999999909778 0.006863999999950465 0.006719000000202868 0.006753399999979592 update_large RB-Tree 100000 0.0815149999998539 0.08432799999991403 0.0825640000000476 0.08287499999992179 update_large RB-Tree 1000000 0.8479379999998855 0.8818150000001879 0.8664450000001125 0.8628140000000257 union_tiny SortedSet 100 2.40000001667795e-05 2.700000004551839e-05 2.5000000050567905e-05 2.5400000049558e-05 union_tiny SortedSet 1000 6.60000000607397e-05 7.70000001466542e-05 6.800000005569018e-05 6.920000005266047e-05 union_tiny SortedSet 10000 0.0005370000001221342 0.0005670000000463915 0.0005400000000008731 0.0005450000000109867 union_tiny SortedSet 100000 0.006634000000076412 0.0067309999999451975 0.006687999999940075 0.006688599999961298 union_tiny SortedSet 1000000 0.09946400000012545 0.11046799999985524 0.10025599999994483 0.10247480000002725 union_tiny B-Tree 100 0.00012500000002546585 0.00012900000001536682 0.00012600000013662793 0.00012660000006690098 union_tiny B-Tree 1000 0.00017400000001543958 0.00017500000012660166 0.000174999999899228 0.00017479999996794504 union_tiny B-Tree 10000 0.00023400000009132782 0.0003040000001419685 0.00024400000006608025 0.00025580000005902547 union_tiny B-Tree 100000 0.00030600000013691897 0.00033799999982875306 0.00031300000000555883 0.0003181999999924301 union_tiny B-Tree 1000000 0.00042500000017753337 0.0012279999998554558 0.00044100000013713725 0.0005994000000555388 union_tiny RB-Tree 100 2.89999998130952e-05 3.100000003541936e-05 3.0000000151630957e-05 3.0000000060681485e-05 union_tiny RB-Tree 1000 0.00020700000004580943 0.00020899999981338624 0.00020700000004580943 0.00020739999999932479 union_tiny RB-Tree 10000 0.001983000000109314 0.0020140000001447333 0.002001000000291242 0.0019998000000668982 union_tiny RB-Tree 100000 0.024570000000039727 0.02521999999999025 0.024913000000196917 0.02487620000001698 union_tiny RB-Tree 1000000 0.237297000000126 0.25068499999997584 0.24381300000004558 0.24355139999997846 union_small SortedSet 100 2.2000000171829015e-05 2.7999999929306796e-05 2.300000005561742e-05 2.4000000030355297e-05 union_small SortedSet 1000 7.499999992433004e-05 7.899999991423101e-05 7.60000002628658e-05 7.679999998799758e-05 union_small SortedSet 10000 0.0006100000000515138 0.0006290000001172302 0.0006120000002738379 0.0006162000001495472 union_small SortedSet 100000 0.007397000000310072 0.007536999999956606 0.007462000000032276 0.00746980000012627 union_small SortedSet 1000000 0.12457900000026711 0.1396719999997913 0.1268129999998564 0.12866980000007971 union_small B-Tree 100 0.00012599999990925426 0.00016599999980826396 0.00012800000013157842 0.00013680000001841107 union_small B-Tree 1000 0.0018249999998261046 0.001874000000043452 0.0018319999999221181 0.0018465999998625194 union_small B-Tree 10000 0.02662800000007337 0.026933000000099128 0.0268620000001647 0.026785200000085753 union_small B-Tree 100000 0.3512439999999515 0.35628200000019206 0.35291600000027756 0.3535424000000603 union_small B-Tree 1000000 4.6318850000002385 5.075816999999915 4.643219999999928 4.728089399999954 union_small RB-Tree 100 2.900000026784255e-05 3.0000000151630957e-05 3.0000000151630957e-05 2.9800000083923807e-05 union_small RB-Tree 1000 0.00023099999998521525 0.000232000000323751 0.00023199999986900366 0.00023160000000643777 union_small RB-Tree 10000 0.0022069999999985157 0.002274999999826832 0.002226000000064232 0.002232599999933882 union_small RB-Tree 100000 0.027413000000251486 0.02807299999994939 0.027418000000125176 0.027564600000005157 union_small RB-Tree 1000000 0.27102700000023106 0.28414199999997436 0.2775010000000293 0.2772904000000381 union_medium SortedSet 100 2.500000027794158e-05 3.100000003541936e-05 2.6000000161729986e-05 2.700000004551839e-05 union_medium SortedSet 1000 0.00010900000006586197 0.00011300000005576294 0.00010999999994965037 0.00011059999997087289 union_medium SortedSet 10000 0.0008069999998951971 0.000822999999854801 0.0008079999997789855 0.000811399999929563 union_medium SortedSet 100000 0.01070300000037605 0.010859999999865977 0.010773999999855732 0.010776200000054813 union_medium SortedSet 1000000 0.19218700000010358 0.20986600000014732 0.193304999999782 0.19629639999993742 union_medium B-Tree 100 0.0006499999999505235 0.0006560000001627486 0.0006520000001728476 0.0006522000000586559 union_medium B-Tree 1000 0.010441000000355416 0.010584000000108063 0.010478000000148313 0.010500800000136224 union_medium B-Tree 10000 0.14852699999983088 0.1591920000000755 0.14972900000020672 0.1513516000000891 union_medium RB-Tree 100 3.90000000152213e-05 4.099999978279811e-05 4.000000035375706e-05 4.0000000171858116e-05 union_medium RB-Tree 1000 0.00032000000010157237 0.0003229999997529376 0.0003209999999853608 0.00032119999996211847 union_medium RB-Tree 10000 0.003141000000141503 0.003321000000141794 0.0031509999998888816 0.0031957999999576714 union_medium RB-Tree 100000 0.03787300000021787 0.04044500000009066 0.03818700000010722 0.038709600000038334 union_medium RB-Tree 1000000 0.388054000000011 0.410153000000264 0.39353299999993396 0.398270599999978 union_large SortedSet 100 2.700000004551839e-05 3.200000037395512e-05 2.8000000384054147e-05 2.8800000200135402e-05 union_large SortedSet 1000 0.0001330000000052678 0.00013899999976274557 0.0001349999997728446 0.00013559999988501658 union_large SortedSet 10000 0.0010889999998653366 0.0011429999999563734 0.0010949999996228144 0.001103199999943172 union_large SortedSet 100000 0.016207000000122207 0.018148000000110187 0.017819000000145024 0.017276200000014796 union_large SortedSet 1000000 0.2322199999998702 0.2462319999999636 0.23389399999996385 0.23599919999987834 union_large B-Tree 100 0.001228999999966618 0.0012560000000121363 0.0012420000002748566 0.0012440000001333828 union_large B-Tree 1000 0.01986399999987043 0.01999599999999191 0.019983000000138418 0.019944799999939276 union_large B-Tree 10000 0.2812290000001667 0.2842169999998987 0.28178099999968254 0.2821745999999621 union_large RB-Tree 100 4.6999999995023245e-05 4.8999999762600055e-05 4.799999987881165e-05 4.799999987881165e-05 union_large RB-Tree 1000 0.0004079999998793937 0.0004129999997530831 0.0004090000002179295 0.00040999999991981896 union_large RB-Tree 10000 0.004067000000304688 0.0041129999999611755 0.004087000000254193 0.004085200000190525 union_large RB-Tree 100000 0.047802000000046974 0.04964900000004491 0.04854400000021997 0.04867880000001605 union_large RB-Tree 1000000 0.5057300000003124 0.5347029999998085 0.5215610000000197 0.5215798000000177 remove SortedSet 100 3.999999989900971e-06 6.000000212225132e-06 4.999999873689376e-06 4.999999964638846e-06 remove SortedSet 1000 2.2000000171829015e-05 2.3999999939405825e-05 2.300000005561742e-05 2.299999996466795e-05 remove SortedSet 10000 0.00020300000005590846 0.00020600000016202102 0.00020500000027823262 0.00020500000018728315 remove SortedSet 100000 0.002331000000140193 0.0025740000000951113 0.002357000000301923 0.002400200000101904 remove SortedSet 1000000 0.030451999999968393 0.03168699999969249 0.031133999999838124 0.031148799999937183 remove B-Tree 100 1.0000000202126103e-05 1.1999999969702912e-05 1.1000000085914508e-05 1.1000000085914508e-05 remove B-Tree 1000 0.00012699999979304266 0.00012900000001536682 0.00012800000013157842 0.0001277999999729218 remove B-Tree 10000 0.0019980000001851295 0.002073999999993248 0.0020000000004074536 0.0020152000001871784 remove RB-Tree 100 1.99999976757681e-06 3.000000106112566e-06 2.000000222324161e-06 2.4000000848900527e-06 remove RB-Tree 1000 7.000000096013537e-06 7.999999979801942e-06 7.000000096013537e-06 7.400000049528898e-06 remove RB-Tree 10000 5.800000008093775e-05 8.299999990413198e-05 5.800000008093775e-05 6.300000004557659e-05 remove RB-Tree 100000 0.0013349999999263673 0.0014169999999467109 0.001390999999784981 0.0013857999999345339 remove RB-Tree 1000000 0.0201799999999821 0.020976999999675172 0.02074799999991228 0.020686599999953613 remove Skip-List 100 1.0000000202126103e-05 1.4000000192027073e-05 1.2999999853491317e-05 1.2800000058632577e-05 remove Skip-List 1000 9.399999999004649e-05 0.00011300000005576294 0.00010199999996984843 0.00010259999999107094 remove Skip-List 10000 0.001146000000062486 0.001198999999814987 0.0011850000000777072 0.0011794000000008964 remove Skip-List 100000 0.014880000000175642 0.0154050000001007 0.015192999999726453 0.015135000000009313 remove Skip-List 1000000 0.19195799999988594 0.21511300000020128 0.1977750000000924 0.2006162000000586 difference_tiny SortedSet 100 1.4999999621068127e-05 1.5999999959603883e-05 1.5000000075815478e-05 1.5199999870674219e-05 difference_tiny SortedSet 1000 3.999999989900971e-05 7.499999992433004e-05 4.1000000237545464e-05 4.7799999993003436e-05 difference_tiny SortedSet 10000 0.0003189999997630366 0.0003229999997529376 0.00032000000010157237 0.00032019999998738057 difference_tiny SortedSet 100000 0.003283000000010361 0.0041169999999510765 0.003482999999960157 0.003643999999985681 difference_tiny SortedSet 1000000 0.058492999999998574 0.0710070000000087 0.059509000000161905 0.06271259999994072 difference_tiny B-Tree 100 0.00010100000008606003 0.00012199999991935329 0.00010300000030838419 0.00010660000007192138 difference_tiny B-Tree 1000 0.0001349999997728446 0.00013699999999516876 0.00013500000022759195 0.00013559999997596605 difference_tiny B-Tree 10000 0.0001710000001367007 0.00018000000000029104 0.00017800000023271423 0.0001772000000528351 difference_tiny B-Tree 100000 0.00024100000018734136 0.0002799999997478153 0.0002500000000509317 0.0002577999999630265 difference_tiny B-Tree 1000000 0.00029500000027837814 0.00030999999989944627 0.0003040000001419685 0.0003038000001652108 difference_tiny RB-Tree 100 3.0000000151630957e-05 3.199999991920777e-05 3.0000000151630957e-05 3.0600000081904e-05 difference_tiny RB-Tree 1000 0.00019499999962135917 0.0002230000000054133 0.00019599999995989492 0.0002013999999689986 difference_tiny RB-Tree 10000 0.0018370000002505549 0.0020009999998364947 0.0019390000002204033 0.0019236000000091736 difference_tiny RB-Tree 100000 0.02409299999999348 0.026014999999915744 0.024499999999989086 0.0248435999999856 difference_tiny RB-Tree 1000000 0.24229000000013912 0.2579439999999522 0.24610299999994822 0.24809900000009294 difference_small SortedSet 100 1.3999999737279722e-05 1.900000006571645e-05 1.6000000414351234e-05 1.6200000118260505e-05 difference_small SortedSet 1000 4.200000012133387e-05 4.399999988891068e-05 4.3000000005122274e-05 4.319999998187995e-05 difference_small SortedSet 10000 0.0003339999998388521 0.0003689999998641724 0.0003380000002835004 0.0003438000000642205 difference_small SortedSet 100000 0.003938000000289321 0.004018999999971129 0.003963000000112515 0.003969000000051892 difference_small SortedSet 1000000 0.05913400000008551 0.07249100000035469 0.05999699999983932 0.06234220000005734 difference_small B-Tree 100 0.00010199999996984843 0.00010300000030838419 0.00010299999985363684 0.00010259999999107094 difference_small B-Tree 1000 0.0013149999999768625 0.0013619999999718857 0.0013169999997444393 0.0013257999999950697 difference_small B-Tree 10000 0.019345000000157597 0.019717000000127882 0.019431000000167842 0.019467600000007225 difference_small B-Tree 100000 0.26523900000029244 0.2679929999999331 0.26596799999970244 0.26645019999996294 difference_small B-Tree 1000000 3.404066999999941 3.443068999999923 3.415682000000288 3.422950199999923 difference_small RB-Tree 100 2.499999982319423e-05 2.700000004551839e-05 2.500000027794158e-05 2.5800000094022836e-05 difference_small RB-Tree 1000 0.00017800000023271423 0.00023400000009132782 0.0001810000003388268 0.000191000000177155 difference_small RB-Tree 10000 0.001706000000012864 0.0017880000000332075 0.0017269999998461572 0.001740200000040204 difference_small RB-Tree 100000 0.021580999999969208 0.02228000000013708 0.02167600000029779 0.021806199999991803 difference_small RB-Tree 1000000 0.21711000000004788 0.2285660000002281 0.22103900000001886 0.2211798000001181 difference_medium SortedSet 100 1.3999999737279722e-05 1.700000029813964e-05 1.4000000192027073e-05 1.5000000075815478e-05 difference_medium SortedSet 1000 4.9000000217347406e-05 5.199999986871262e-05 5.0999999984924216e-05 5.080000000816654e-05 difference_medium SortedSet 10000 0.0004079999998793937 0.00044100000013713725 0.0004079999998793937 0.0004173999999693478 difference_medium SortedSet 100000 0.004531000000042695 0.004748999999719672 0.004680000000007567 0.004657999999926688 difference_medium SortedSet 1000000 0.04705899999999019 0.04948500000000422 0.047775999999885244 0.047925199999917824 difference_medium B-Tree 100 0.0005620000001727021 0.0006679999996777042 0.0006469999998444109 0.0006347999998979504 difference_medium B-Tree 1000 0.007564000000002125 0.007617000000209373 0.007584999999835418 0.007591800000045623 difference_medium B-Tree 10000 0.110508000000209 0.11282100000016726 0.11086599999998725 0.11120540000010806 difference_medium RB-Tree 100 2.2000000171829015e-05 2.300000005561742e-05 2.2000000171829015e-05 2.2200000148586697e-05 difference_medium RB-Tree 1000 0.00014899999996487168 0.00016300000015689875 0.00015200000007098424 0.0001554000000396627 difference_medium RB-Tree 10000 0.0013899999999011925 0.0014689999998154235 0.0014240000000427244 0.0014215999999578344 difference_medium RB-Tree 100000 0.015420999999605556 0.016873000000032334 0.015574000000015076 0.015969399999994492 difference_medium RB-Tree 1000000 0.15691199999992023 0.16567299999996976 0.15757999999959793 0.1599011999999675 difference_large SortedSet 100 1.3999999737279722e-05 1.8000000181928044e-05 1.5000000075815478e-05 1.540000002933084e-05 difference_large SortedSet 1000 6.000000030326191e-05 6.200000007083872e-05 6.200000007083872e-05 6.140000014056567e-05 difference_large SortedSet 10000 0.0005070000001978769 0.0005219999998189451 0.0005100000003039895 0.0005128000000695465 difference_large SortedSet 100000 0.0056939999999485735 0.005828000000292377 0.005732000000080006 0.005740400000104273 difference_large SortedSet 1000000 0.057801999999810505 0.06228700000019671 0.059901000000081694 0.05989939999990383 difference_large B-Tree 100 0.0008779999998296262 0.0009140000001934823 0.0008779999998296262 0.0008857999999236199 difference_large B-Tree 1000 0.013856000000032509 0.014041999999790278 0.013875999999982014 0.013904199999888078 difference_large B-Tree 10000 0.1975809999999001 0.20265599999993356 0.19843600000012884 0.1990802000000258 difference_large RB-Tree 100 2.3999999939405825e-05 2.499999982319423e-05 2.499999982319423e-05 2.4799999846436548e-05 difference_large RB-Tree 1000 0.0001739999997880659 0.00017600000001039007 0.00017500000012660166 0.00017479999996794504 difference_large RB-Tree 10000 0.00166399999989153 0.001984999999876891 0.001667999999881431 0.0017397999999047898 difference_large RB-Tree 100000 0.01721300000008341 0.019123000000035972 0.018281000000115455 0.01806300000007468 difference_large RB-Tree 1000000 0.18953300000021045 0.20264399999996385 0.19177099999978964 0.19489480000002005 difference_update_tiny SortedSet 100 2.3999999939405825e-05 2.699999959077104e-05 2.499999982319423e-05 2.519999998185085e-05 difference_update_tiny SortedSet 1000 2.499999982319423e-05 2.500000027794158e-05 2.499999982319423e-05 2.49999999141437e-05 difference_update_tiny SortedSet 10000 2.700000004551839e-05 2.900000026784255e-05 2.7999999929306796e-05 2.8000000020256267e-05 difference_update_tiny SortedSet 100000 4.199999966658652e-05 4.5000000227446435e-05 4.4999999772699084e-05 4.3800000003102466e-05 difference_update_tiny SortedSet 1000000 4.999999964638846e-05 5.800000008093775e-05 5.100000043967157e-05 5.240000000412692e-05 difference_update_tiny B-Tree 100 9.600000021237065e-05 9.799999997994746e-05 9.799999997994746e-05 9.740000004967441e-05 difference_update_tiny B-Tree 1000 0.00012800000013157842 0.00012900000001536682 0.00012800000013157842 0.00012840000008509377 difference_update_tiny B-Tree 10000 0.00015800000028320937 0.0002009999998335843 0.00015900000016699778 0.00016840000007505295 difference_update_tiny B-Tree 100000 0.00023099999998521525 0.000289000000066153 0.00023099999998521525 0.0002440000000206055 difference_update_tiny B-Tree 1000000 0.0002829999998539279 0.0003010000000358559 0.0002899999999499414 0.0002907999999479216 difference_update_tiny RB-Tree 100 4.399999988891068e-05 6.399999983841553e-05 4.600000011123484e-05 5.019999989599455e-05 difference_update_tiny RB-Tree 1000 0.00035499999967214535 0.00035900000011679367 0.00035700000034921686 0.00035719999996217664 difference_update_tiny RB-Tree 10000 0.003519000000324013 0.0035910000001422304 0.0035309999998389685 0.0035460000000966828 difference_update_tiny RB-Tree 100000 0.04625400000031732 0.048330000000078144 0.047779999999875145 0.04757500000005166 difference_update_tiny RB-Tree 1000000 0.432988000000023 0.4538680000000568 0.44430499999998574 0.44325699999999413 difference_update_small SortedSet 100 2.300000005561742e-05 2.6000000161729986e-05 2.3999999939405825e-05 2.4200000007112975e-05 difference_update_small SortedSet 1000 0.00019699999984368333 0.0001999999999497959 0.00019800000018221908 0.00019819999997707782 difference_update_small SortedSet 10000 0.001956999999947584 0.002256000000215863 0.0019659999998111743 0.0020560000000841685 difference_update_small SortedSet 100000 0.020561999999699765 0.020956999999725667 0.02068199999985154 0.020731599999817264 difference_update_small SortedSet 1000000 0.21655699999973876 0.2207300000000032 0.21770199999991746 0.21806019999985438 difference_update_small B-Tree 100 9.700000009615906e-05 9.799999997994746e-05 9.799999997994746e-05 9.76000000264321e-05 difference_update_small B-Tree 1000 0.001299999999901047 0.0013570000000981963 0.001307999999880849 0.0013198000000556932 difference_update_small B-Tree 10000 0.01885099999981321 0.019088000000010652 0.018920999999863852 0.01894239999992351 difference_update_small B-Tree 100000 0.2597489999998288 0.2634360000001834 0.26224699999966106 0.2617117999999209 difference_update_small B-Tree 1000000 3.4109659999999167 3.4322970000002897 3.4157460000001265 3.418844000000081 difference_update_small RB-Tree 100 4.399999943416333e-05 4.8999999307852704e-05 4.400000034365803e-05 4.5199999840406234e-05 difference_update_small RB-Tree 1000 0.00034099999993486563 0.00034500000037951395 0.00034299999970244244 0.0003428000001804321 difference_update_small RB-Tree 10000 0.0033180000000356813 0.0033810000004450558 0.0033680000005915645 0.003356800000256044 difference_update_small RB-Tree 100000 0.040812000000187254 0.04304099999990285 0.04251399999975547 0.04229859999995824 difference_update_small RB-Tree 1000000 0.40628000000015163 0.4225829999995767 0.41384800000014366 0.413130799999999 difference_update_medium SortedSet 100 1.1999999514955562e-05 1.4000000192027073e-05 1.2000000424450263e-05 1.2400000014167744e-05 difference_update_medium SortedSet 1000 4.999999964638846e-05 5.0999999984924216e-05 4.999999964638846e-05 5.039999978180276e-05 difference_update_medium SortedSet 10000 0.0003999999998995918 0.0004089999993084348 0.0004040000003442401 0.000403800000094634 difference_update_medium SortedSet 100000 0.004359999999905995 0.004471000000194181 0.004416000000674103 0.0044082000002163115 difference_update_medium SortedSet 1000000 0.054884999999558204 0.06712500000048749 0.05533899999954883 0.058208399999966784 difference_update_medium B-Tree 100 0.0004969999999957508 0.0005080000000816653 0.0005029999992984813 0.0005031999997299863 difference_update_medium B-Tree 1000 0.0075010000000474975 0.007609999999658612 0.007518999999774678 0.007537199999751465 difference_update_medium B-Tree 10000 0.1104349999995975 0.11085800000000745 0.11063699999976961 0.11061859999990702 difference_update_medium RB-Tree 100 3.5999999454361387e-05 3.899999956047395e-05 3.600000036385609e-05 3.660000002128072e-05 difference_update_medium RB-Tree 1000 0.0002770000000964501 0.00028199999997013947 0.0002789999998640269 0.0002793999998175423 difference_update_medium RB-Tree 10000 0.00269899999966583 0.0027890000001207227 0.002712000000428816 0.0027250000001004084 difference_update_medium RB-Tree 100000 0.028879000000415544 0.03060800000002928 0.029298000000380853 0.029491200000302344 difference_update_medium RB-Tree 1000000 0.31020300000000134 0.3278950000003533 0.3160669999997481 0.31781380000011267 difference_update_large SortedSet 100 1.1999999514955562e-05 1.5999999959603883e-05 1.2999999853491317e-05 1.3599999692814891e-05 difference_update_large SortedSet 1000 6.200000007083872e-05 6.399999983841553e-05 6.300000040937448e-05 6.31999999313848e-05 difference_update_large SortedSet 10000 0.0005750000000261934 0.0006360000006679911 0.0005959999998594867 0.0005992000000333064 difference_update_large SortedSet 100000 0.006362000000081025 0.007026999999652617 0.006962999999814201 0.006850999999915075 difference_update_large SortedSet 1000000 0.08337399999982154 0.09637999999995372 0.08375899999919056 0.0863495999998122 difference_update_large B-Tree 100 0.0008670000006532064 0.0008729999999559368 0.00087100000018836 0.0008704000001671375 difference_update_large B-Tree 1000 0.013718000000153552 0.01381500000024971 0.013756999999714026 0.013767000000007102 difference_update_large B-Tree 10000 0.19751200000064273 0.21339100000022881 0.19839199999933044 0.201192600000104 difference_update_large RB-Tree 100 3.9000000469968654e-05 4.199999966658652e-05 3.999999989900971e-05 4.019999996671686e-05 difference_update_large RB-Tree 1000 0.0003020000003743917 0.0003059999999095453 0.0003040000001419685 0.00030399999996006956 difference_update_large RB-Tree 10000 0.0029049999993731035 0.0029500000000552973 0.002915999999459018 0.002920799999810697 difference_update_large RB-Tree 100000 0.03133299999990413 0.03338200000052893 0.031560000000354194 0.03193940000019211 difference_update_large RB-Tree 1000000 0.34839999999985594 0.37071500000001834 0.3565600000001723 0.3567403999999442 intersection_tiny SortedSet 100 1.1000000085914508e-05 1.4000000192027073e-05 1.1999999514955562e-05 1.2000000060652382e-05 intersection_tiny SortedSet 1000 1.2999999853491317e-05 1.500000053056283e-05 1.4000000192027073e-05 1.3800000124319922e-05 intersection_tiny SortedSet 10000 1.4999999621068127e-05 1.5999999959603883e-05 1.500000053056283e-05 1.539999993838137e-05 intersection_tiny SortedSet 100000 3.199999991920777e-05 3.7999999221938197e-05 3.500000002532033e-05 3.479999977571424e-05 intersection_tiny SortedSet 1000000 4.400000034365803e-05 5.400000009103678e-05 4.600000011123484e-05 4.760000010719523e-05 intersection_tiny B-Tree 100 0.0013129999997545383 0.0014240000000427244 0.0013319999998202547 0.001346200000079989 intersection_tiny B-Tree 1000 0.018990999999914493 0.019381000000066706 0.019111000000521017 0.019143200000144134 intersection_tiny B-Tree 10000 0.2599609999997483 0.2609499999998661 0.26032800000029965 0.26043580000005023 intersection_tiny RB-Tree 100 1.1000000085914508e-05 1.1999999514955562e-05 1.1000000085914508e-05 1.1199999971722718e-05 intersection_tiny RB-Tree 1000 2.299999960087007e-05 2.300000051036477e-05 2.299999960087007e-05 2.299999996466795e-05 intersection_tiny RB-Tree 10000 0.00010199999996984843 0.00011100000028818613 0.00010300000030838419 0.0001045999999405467 intersection_tiny RB-Tree 100000 0.0008639999996375991 0.0009039999995366088 0.0008840000000418513 0.0008837999999741442 intersection_tiny RB-Tree 1000000 0.00805099999979575 0.010121000000253844 0.008109000000331434 0.008507800000188581 intersection_small SortedSet 100 1.1000000085914508e-05 1.4000000192027073e-05 1.1000000085914508e-05 1.179999999294523e-05 intersection_small SortedSet 1000 2.2000000171829015e-05 4.1000000237545464e-05 2.2000000171829015e-05 2.5800000184972304e-05 intersection_small SortedSet 10000 8.199999956559623e-05 8.299999990413198e-05 8.199999956559623e-05 8.219999981520231e-05 intersection_small SortedSet 100000 0.0007719999994151294 0.0009819999995670514 0.0007750000004307367 0.0008153999999194639 intersection_small SortedSet 1000000 0.008346000000528875 0.009143999999650987 0.008506000000124914 0.008648800000082701 intersection_small B-Tree 100 0.001314000000093074 0.0014000000001033186 0.0013159999998606509 0.0013332000000445988 intersection_small B-Tree 1000 0.019195000000763685 0.019371000000319327 0.01927700000032928 0.019284800000423274 intersection_small B-Tree 10000 0.27152699999987817 0.27349600000070495 0.2727729999996882 0.27253419999997275 intersection_small RB-Tree 100 1.0999999176419806e-05 1.2000000424450263e-05 1.1000000085914508e-05 1.140000003942987e-05 intersection_small RB-Tree 1000 4.6999999540275894e-05 5.700000019714935e-05 4.799999987881165e-05 4.9399999988963826e-05 intersection_small RB-Tree 10000 0.0003569999998944695 0.0003889999998136773 0.0003639999995357357 0.000366799999937939 intersection_small RB-Tree 100000 0.003613000000768807 0.003757999999834283 0.0036700000000564614 0.0036701999999422695 intersection_small RB-Tree 1000000 0.03649299999960931 0.03931099999954313 0.037352999999711756 0.037772999999833703 intersection_medium SortedSet 100 1.3999999282532372e-05 1.5999999959603883e-05 1.4000000192027073e-05 1.4599999849451705e-05 intersection_medium SortedSet 1000 4.799999987881165e-05 5.0999999984924216e-05 4.999999964638846e-05 4.9600000056670976e-05 intersection_medium SortedSet 10000 0.0003509999996822444 0.00035600000046542846 0.0003529999994498212 0.00035319999988132623 intersection_medium SortedSet 100000 0.003574999999727879 0.0038960000001679873 0.0036380000001372537 0.003714600000057544 intersection_medium SortedSet 1000000 0.04822500000045693 0.04914900000039779 0.04856300000028568 0.04856680000011693 intersection_medium B-Tree 100 0.0011919999997189734 0.001239000000168744 0.0011979999999311985 0.0012060000000928995 intersection_medium B-Tree 1000 0.01701599999978498 0.017131999999946856 0.017066999999769905 0.01706899999990128 intersection_medium B-Tree 10000 0.24222400000053312 0.2429729999994379 0.24272999999993772 0.24270200000009937 intersection_medium RB-Tree 100 2.1999999262334313e-05 2.2000000171829015e-05 2.2000000171829015e-05 2.1999999808031136e-05 intersection_medium RB-Tree 1000 0.00014800000008108327 0.00015000000075815478 0.00014899999951012433 0.00014919999994162937 intersection_medium RB-Tree 10000 0.001389000000017404 0.001479000000472297 0.0014000000001033186 0.0014138000000457397 intersection_medium RB-Tree 100000 0.014775000000554428 0.015733000000182074 0.01522099999965576 0.015208200000051875 intersection_medium RB-Tree 1000000 0.16327699999965262 0.16703400000005786 0.16527899999982765 0.16509839999998804 intersection_large SortedSet 100 1.4000000192027073e-05 1.7999999727180693e-05 1.4999999621068127e-05 1.539999993838137e-05 intersection_large SortedSet 1000 6.000000030326191e-05 6.200000007083872e-05 6.099999973230297e-05 6.080000021029264e-05 intersection_large 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0.0018360000003667665 0.0016470000000481377 0.0017118000001573818 intersection_large RB-Tree 100000 0.017335000000457512 0.017483999999967637 0.017473999999310763 0.017436799999813957 intersection_large RB-Tree 1000000 0.1997140000003128 0.208042000000205 0.20203399999991234 0.20297559999999065 intersection_update_tiny SortedSet 100 7.999999979801942e-06 9.999999747378752e-06 9.000000318337698e-06 9.000000136438758e-06 intersection_update_tiny SortedSet 1000 9.999999747378752e-06 1.5999999959603883e-05 1.500000053056283e-05 1.320000028499635e-05 intersection_update_tiny SortedSet 10000 3.999999989900971e-05 4.200000057608122e-05 4.000000080850441e-05 4.0600000465929044e-05 intersection_update_tiny SortedSet 100000 0.000735999999960768 0.0007440000008500647 0.0007390000000668806 0.0007394000002022949 intersection_update_tiny SortedSet 1000000 0.006938000000445754 0.007725999999820488 0.007013999999799125 0.00722700000005716 intersection_update_tiny B-Tree 100 0.001314999999522115 0.0013760000001639128 0.0013159999998606509 0.0013291999997818494 intersection_update_tiny B-Tree 1000 0.018958000000566244 0.019019000000298547 0.019011000000318745 0.01899500000017724 intersection_update_tiny B-Tree 10000 0.26033100000040577 0.26160600000002887 0.2609660000007352 0.2609182000001965 intersection_update_tiny RB-Tree 100 2.299999960087007e-05 2.3999999939405825e-05 2.300000051036477e-05 2.3399999918183312e-05 intersection_update_tiny RB-Tree 1000 0.00010699999984353781 0.00010800000018207356 0.00010799999927257886 0.00010760000004665926 intersection_update_tiny RB-Tree 10000 0.0009360000003653113 0.000992999999652966 0.0009399999999004649 0.0009497999999439344 intersection_update_tiny RB-Tree 100000 0.009469000000535743 0.009583000000020547 0.009525999999823398 0.009528799999861804 intersection_update_tiny RB-Tree 1000000 0.09428200000002107 0.0961699999998018 0.09430199999951583 0.09490279999990889 intersection_update_small SortedSet 100 7.999999979801942e-06 9.999999747378752e-06 9.000000318337698e-06 8.800000068731606e-06 intersection_update_small SortedSet 1000 1.7999999727180693e-05 2.3999999939405825e-05 1.900000006571645e-05 1.9799999790848233e-05 intersection_update_small SortedSet 10000 0.00010099999963131268 0.000105000000075961 0.00010099999963131268 0.00010179999972024235 intersection_update_small SortedSet 100000 0.0013840000001437147 0.001599000000169326 0.001389000000017404 0.001433799999904295 intersection_update_small SortedSet 1000000 0.01410299999952258 0.014416999999411928 0.014336999999613909 0.014287799999692652 intersection_update_small B-Tree 100 0.0013150000004316098 0.001397999999426247 0.0013179999996282277 0.0013331999998626998 intersection_update_small B-Tree 1000 0.019253999999818916 0.01936400000067806 0.019314000000122178 0.01930979999997362 intersection_update_small B-Tree 10000 0.27099600000019564 0.2757979999996678 0.2713309999999183 0.27219700000005104 intersection_update_small RB-Tree 100 2.2000000171829015e-05 2.3999999939405825e-05 2.299999960087007e-05 2.299999978276901e-05 intersection_update_small RB-Tree 1000 0.00013999999919178663 0.00014200000077835284 0.00014100000043981709 0.0001410000000760192 intersection_update_small RB-Tree 10000 0.0012820000001738663 0.0013370000006034388 0.0012909999995827093 0.0013059999999313731 intersection_update_small RB-Tree 100000 0.013052999999672465 0.013202999999521126 0.013113999999404768 0.013119199999891862 intersection_update_small RB-Tree 1000000 0.1364480000002004 0.14034999999967113 0.13664300000073126 0.13731640000023618 intersection_update_medium SortedSet 100 9.000000318337698e-06 1.2000000424450263e-05 1.1000000085914508e-05 1.0800000018207356e-05 intersection_update_medium SortedSet 1000 4.400000034365803e-05 4.4999999772699084e-05 4.400000034365803e-05 4.440000011527445e-05 intersection_update_medium SortedSet 10000 0.000345999999808555 0.00037400000019260915 0.00034700000014709076 0.00035260000004200265 intersection_update_medium SortedSet 100000 0.003932000000531843 0.004105999999410415 0.003967999999986205 0.003996799999913492 intersection_update_medium SortedSet 1000000 0.04981099999986327 0.05157500000041182 0.05029299999932846 0.05045159999990574 intersection_update_medium B-Tree 100 0.0011890000005223555 0.001194000000396045 0.0011899999999513966 0.0011904000002687098 intersection_update_medium B-Tree 1000 0.016914999999244174 0.01707299999998213 0.017061999999896216 0.017027999999663736 intersection_update_medium B-Tree 10000 0.24294100000042818 0.243333999999777 0.24324599999999919 0.24317120000014256 intersection_update_medium RB-Tree 100 3.600000036385609e-05 3.999999989900971e-05 3.7000000702391844e-05 3.740000029210933e-05 intersection_update_medium RB-Tree 1000 0.00029600000016216654 0.0002970000005007023 0.0002969999995912076 0.00029680000006919726 intersection_update_medium RB-Tree 10000 0.0026550000002316665 0.002735999999458727 0.002664000000550004 0.0026760000000649597 intersection_update_medium RB-Tree 100000 0.029327000000193948 0.029728999999861117 0.02937999999994645 0.029465800000070885 intersection_update_medium RB-Tree 1000000 0.31196300000010524 0.32330699999965873 0.31303700000080426 0.31531400000003484 intersection_update_large SortedSet 100 1.2999999853491317e-05 1.4999999621068127e-05 1.4000000192027073e-05 1.3999999828229192e-05 intersection_update_large SortedSet 1000 5.199999941396527e-05 5.400000009103678e-05 5.200000032345997e-05 5.259999979898566e-05 intersection_update_large SortedSet 10000 0.0004269999999451102 0.00042799999937415123 0.0004269999999451102 0.0004271999998309184 intersection_update_large SortedSet 100000 0.005011999999624095 0.005264999999781139 0.00505799999973533 0.0051001999998334215 intersection_update_large SortedSet 1000000 0.06122700000014447 0.06386000000020431 0.061692999999650056 0.06197579999989102 intersection_update_large B-Tree 100 0.0014599999994970858 0.0015040000007502385 0.0014620000001741573 0.0014702000000397675 intersection_update_large B-Tree 1000 0.021412999999483873 0.021504999999706342 0.021482000000105472 0.02147639999984676 intersection_update_large B-Tree 10000 0.30615099999977247 0.317761999999675 0.30932099999972706 0.3101545999998052 intersection_update_large RB-Tree 100 3.899999956047395e-05 4.200000057608122e-05 3.999999989900971e-05 4.019999996671686e-05 intersection_update_large RB-Tree 1000 0.00030299999980343273 0.00033600000006117625 0.00030299999980343273 0.0003097999999226886 intersection_update_large RB-Tree 10000 0.002915999999459018 0.002937999999630847 0.0029209999993327074 0.0029225999996924656 intersection_update_large RB-Tree 100000 0.030930000000807922 0.03283000000010361 0.031071999999767286 0.03144400000019232 intersection_update_large RB-Tree 1000000 0.3421490000000631 0.3733520000005228 0.3612219999995432 0.35876080000016375 symmetric_difference_tiny SortedSet 100 1.5999999959603883e-05 1.8000000636675395e-05 1.6000000869098585e-05 1.6600000344624276e-05 symmetric_difference_tiny SortedSet 1000 4.9000000217347406e-05 5.000000055588316e-05 4.999999964638846e-05 4.9600000056670976e-05 symmetric_difference_tiny SortedSet 10000 0.0004149999995206599 0.0004220000000714208 0.0004149999995206599 0.0004173999997874489 symmetric_difference_tiny SortedSet 100000 0.00444699999934528 0.005076000000372005 0.004455000000234577 0.004585599999882106 symmetric_difference_tiny SortedSet 1000000 0.07360599999992701 0.08488099999976839 0.07401099999970029 0.0763837999997122 symmetric_difference_tiny B-Tree 100 0.00156299999980547 0.0016059999998105923 0.0015679999996791594 0.0015751999999338295 symmetric_difference_tiny B-Tree 1000 0.023118000000067696 0.023352999999588064 0.02315100000032544 0.02318779999986873 symmetric_difference_tiny B-Tree 10000 0.3259889999999359 0.32697900000039226 0.32623400000011316 0.3263890000000174 symmetric_difference_tiny RB-Tree 100 2.500000027794158e-05 2.700000004551839e-05 2.500000027794158e-05 2.5600000117265154e-05 symmetric_difference_tiny RB-Tree 1000 0.00018499999987398041 0.00018700000055105193 0.00018600000021251617 0.00018619999991642544 symmetric_difference_tiny RB-Tree 10000 0.0018239999999423162 0.002080999999634514 0.0018670000008569332 0.0019175999999788474 symmetric_difference_tiny RB-Tree 100000 0.022409000000152446 0.02310200000010809 0.022713000000294414 0.02271740000014688 symmetric_difference_tiny RB-Tree 1000000 0.21677700000054756 0.22860100000070815 0.21849999999994907 0.22124080000012328 symmetric_difference_small SortedSet 100 1.5999999959603883e-05 1.900000006571645e-05 1.700000029813964e-05 1.720000000204891e-05 symmetric_difference_small SortedSet 1000 5.899999996472616e-05 7.000000005064066e-05 6.000000030326191e-05 6.280000015976839e-05 symmetric_difference_small SortedSet 10000 0.00041599999985919567 0.00042500000017753337 0.00041900000087480294 0.0004194000002826215 symmetric_difference_small SortedSet 100000 0.00503500000013446 0.005520000000615255 0.005124000000250817 0.005177800000092247 symmetric_difference_small SortedSet 1000000 0.0863710000003266 0.1058790000006411 0.09032899999965593 0.09299360000022716 symmetric_difference_small B-Tree 100 0.001570999999785272 0.001983000000109314 0.0015730000004623435 0.001710800000000745 symmetric_difference_small B-Tree 1000 0.023304999999709253 0.02424700000028679 0.023484000000280503 0.02362620000003517 symmetric_difference_small B-Tree 10000 0.3346300000002884 0.335215000000062 0.3348550000000614 0.3349028000000544 symmetric_difference_small RB-Tree 100 2.500000027794158e-05 2.8000000384054147e-05 2.5999999706982635e-05 2.6200000138487668e-05 symmetric_difference_small RB-Tree 1000 0.00017800000023271423 0.0001810000003388268 0.00017899999966175528 0.00017939999997906853 symmetric_difference_small RB-Tree 10000 0.0017090000001189765 0.0017539999998916755 0.0017170000000987784 0.0017230000001291045 symmetric_difference_small RB-Tree 100000 0.020975999999791384 0.02161100000012084 0.021225000000413274 0.02128419999990001 symmetric_difference_small RB-Tree 1000000 0.20870099999956437 0.22285400000055233 0.21084999999948195 0.21377740000007178 symmetric_difference_medium SortedSet 100 1.5999999959603883e-05 1.7999999727180693e-05 1.5999999959603883e-05 1.6399999913119247e-05 symmetric_difference_medium SortedSet 1000 5.599999985861359e-05 5.80000005356851e-05 5.700000019714935e-05 5.700000019714935e-05 symmetric_difference_medium SortedSet 10000 0.0005060000003140885 0.0005500000006577466 0.0005160000000614673 0.0005202000002100249 symmetric_difference_medium SortedSet 100000 0.005535999999665364 0.005599000000074739 0.005567000000155531 0.005567599999812956 symmetric_difference_medium SortedSet 1000000 0.06744700000035664 0.06774099999984173 0.06755299999986164 0.06757120000002033 symmetric_difference_medium B-Tree 100 0.001518999999461812 0.0015649999995730468 0.0015190000003713067 0.001528399999915564 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1.7800000023271423e-05 symmetric_difference_large SortedSet 1000 8.900000011635711e-05 9.100000079342863e-05 8.999999954539817e-05 8.980000002338784e-05 symmetric_difference_large SortedSet 10000 0.0006569999995917897 0.0007089999999152496 0.0006789999997636187 0.000679399999899033 symmetric_difference_large SortedSet 100000 0.007985000000189757 0.008136000000376953 0.00800500000059401 0.008052400000269699 symmetric_difference_large SortedSet 1000000 0.13554300000032526 0.15399900000011257 0.1472989999992933 0.14555579999978363 symmetric_difference_large B-Tree 100 0.002427000000352564 0.002720999999837659 0.0024439999997412087 0.002536800000052608 symmetric_difference_large B-Tree 1000 0.035984000000098604 0.042949000000589876 0.03643999999985681 0.037847800000054124 symmetric_difference_large B-Tree 10000 0.509792999999263 0.5125520000001416 0.5106359999999768 0.5108469999999216 symmetric_difference_large RB-Tree 100 3.099999958067201e-05 3.300000025774352e-05 3.100000049016671e-05 3.15999999656924e-05 symmetric_difference_large RB-Tree 1000 0.0002389999999650172 0.0002410000006420887 0.00023999999939405825 0.0002398000002358458 symmetric_difference_large RB-Tree 10000 0.0023169999994934187 0.0025359999999636784 0.0023530000007667695 0.0023928000000523753 symmetric_difference_large RB-Tree 100000 0.027221000000281492 0.029516999999941618 0.027885999999853084 0.028175400000145602 symmetric_difference_large RB-Tree 1000000 0.28218999999990046 0.29089699999985896 0.284219000000121 0.28625519999986865 symmetric_difference_update_tiny SortedSet 100 9.000000318337698e-06 1.1999999514955562e-05 1.1000000085914508e-05 1.0800000018207356e-05 symmetric_difference_update_tiny SortedSet 1000 2.89999998130952e-05 3.199999991920777e-05 3.0000000151630957e-05 3.0399999741348437e-05 symmetric_difference_update_tiny SortedSet 10000 0.00023799999962648144 0.00024300000040966552 0.000240999999732594 0.0002407999998467858 symmetric_difference_update_tiny SortedSet 100000 0.0023630000005141483 0.0024759999996604165 0.002373999999690568 0.0024010000000998844 symmetric_difference_update_tiny SortedSet 1000000 0.03683599999931175 0.04183600000033039 0.03794300000026851 0.03838219999997818 symmetric_difference_update_tiny B-Tree 100 0.00013299999955052044 0.00013500000022759195 0.00013299999955052044 0.00013339999986783369 symmetric_difference_update_tiny B-Tree 1000 0.0001810000003388268 0.0001919999995152466 0.00018199999976786785 0.0001837999998315354 symmetric_difference_update_tiny B-Tree 10000 0.00024399999983870657 0.0002590000003692694 0.0002480000002833549 0.0002494000002116081 symmetric_difference_update_tiny RB-Tree 100 4.400000034365803e-05 4.7000000449770596e-05 4.4999999772699084e-05 4.520000020420411e-05 symmetric_difference_update_tiny RB-Tree 1000 0.0003550000001268927 0.00035800000023300527 0.00035600000046542846 0.00035640000023704486 symmetric_difference_update_tiny RB-Tree 10000 0.003513000000566535 0.0035939999997935956 0.003545999999914784 0.0035528000000340397 symmetric_difference_update_tiny RB-Tree 100000 0.04452300000048126 0.045094000000062806 0.04467300000032992 0.044735399999990474 symmetric_difference_update_tiny RB-Tree 1000000 0.43760699999984354 0.4602260000001479 0.43925799999942683 0.44382059999989 symmetric_difference_update_small SortedSet 100 1.0999999176419806e-05 1.2000000424450263e-05 1.1999999514955562e-05 1.159999974333914e-05 symmetric_difference_update_small SortedSet 1000 3.500000002532033e-05 3.699999979289714e-05 3.5999999454361387e-05 3.579999993235106e-05 symmetric_difference_update_small SortedSet 10000 0.00026700000034907134 0.00027600000066740904 0.0002679999997781124 0.00026940000025206247 symmetric_difference_update_small SortedSet 100000 0.002732000000833068 0.0027810000001409207 0.0027390000004743342 0.0027452000003904686 symmetric_difference_update_small SortedSet 1000000 0.04040999999961059 0.04524600000058854 0.04125999999996566 0.04179739999981393 symmetric_difference_update_small B-Tree 100 0.0001320000001214794 0.00013500000022759195 0.0001339999998890562 0.00013360000011743977 symmetric_difference_update_small B-Tree 1000 0.0018380000001343433 0.0019019999999727588 0.00183999999990192 0.001853599999958533 symmetric_difference_update_small B-Tree 10000 0.027396000000408094 0.02864399999998568 0.027567000000090047 0.0277697999999873 symmetric_difference_update_small RB-Tree 100 4.399999943416333e-05 4.799999987881165e-05 4.4999999772699084e-05 4.5199999840406234e-05 symmetric_difference_update_small RB-Tree 1000 0.000345999999808555 0.00034900000082416227 0.0003479999995761318 0.00034780000005412147 symmetric_difference_update_small RB-Tree 10000 0.0033779999994294485 0.003492000000733242 0.003395000000637083 0.003409000000101514 symmetric_difference_update_small RB-Tree 100000 0.04108500000074855 0.041561999999430554 0.04151899999942543 0.041357199999765726 symmetric_difference_update_small RB-Tree 1000000 0.4133739999997488 0.41651200000069366 0.41544299999986833 0.4151100000000952 symmetric_difference_update_medium SortedSet 100 9.999999747378752e-06 1.2999999853491317e-05 1.1000000085914508e-05 1.1199999789823778e-05 symmetric_difference_update_medium SortedSet 1000 5.000000055588316e-05 5.899999996472616e-05 5.000000055588316e-05 5.340000043361215e-05 symmetric_difference_update_medium SortedSet 10000 0.0003839999999399879 0.0003929999993488309 0.00038500000027852366 0.00038699999986420154 symmetric_difference_update_medium SortedSet 100000 0.004057000000102562 0.004122000000279513 0.0040740000004007015 0.0040862000001652635 symmetric_difference_update_medium SortedSet 1000000 0.054395000000113214 0.05591499999991356 0.054650000000037835 0.054947399999946356 symmetric_difference_update_medium B-Tree 100 0.0006590000002688612 0.0006960000000617583 0.0006599999996979022 0.0006679999998596032 symmetric_difference_update_medium B-Tree 1000 0.010148000000299362 0.010246999999253603 0.01017500000034488 0.01019819999983156 symmetric_difference_update_medium B-Tree 10000 0.15239499999916006 0.153056000000106 0.15285900000071706 0.15280200000015612 symmetric_difference_update_medium RB-Tree 100 3.7999999221938197e-05 4.1000000237545464e-05 3.999999989900971e-05 3.9599999945494345e-05 symmetric_difference_update_medium RB-Tree 1000 0.0002770000000964501 0.0003020000003743917 0.0002970000005007023 0.00029060000015306285 symmetric_difference_update_medium RB-Tree 10000 0.002704000000449014 0.002808000000186439 0.002763999999842781 0.0027592000002186977 symmetric_difference_update_medium RB-Tree 100000 0.02931200000057288 0.03031399999963469 0.02967499999977008 0.02979059999997844 symmetric_difference_update_medium RB-Tree 1000000 0.3130300000002535 0.3191110000007029 0.31849199999942357 0.3173346000001402 symmetric_difference_update_large SortedSet 100 1.2000000424450263e-05 1.5999999959603883e-05 1.2999999853491317e-05 1.3800000124319922e-05 symmetric_difference_update_large SortedSet 1000 7.700000060140155e-05 7.900000036897836e-05 7.80000000304426e-05 7.80000000304426e-05 symmetric_difference_update_large SortedSet 10000 0.0006929999999556458 0.0007349999996222323 0.0006969999994907994 0.0007045999996989849 symmetric_difference_update_large SortedSet 100000 0.007370000000264554 0.007631999999830441 0.007383000000118045 0.007434400000238384 symmetric_difference_update_large SortedSet 1000000 0.11318499999924825 0.13050199999997858 0.12701000000015483 0.12375219999994443 symmetric_difference_update_large B-Tree 100 0.00130899999930989 0.0013260000005175243 0.0013119999994160025 0.0013153999998394283 symmetric_difference_update_large B-Tree 1000 0.020696000000498316 0.02088999999978114 0.02078799999981129 0.020793400000184193 symmetric_difference_update_large B-Tree 10000 0.3071159999999509 0.30859500000042317 0.30721400000038557 0.3075404000001072 symmetric_difference_update_large RB-Tree 100 5.000000055588316e-05 5.2999999752501026e-05 5.0999999984924216e-05 5.1400000120338515e-05 symmetric_difference_update_large RB-Tree 1000 0.0003999999998995918 0.00040300000000570435 0.0004019999996671686 0.0004016000000774511 symmetric_difference_update_large RB-Tree 10000 0.003926999999748659 0.003993999999693187 0.003942999999708263 0.003954399999747693 symmetric_difference_update_large RB-Tree 100000 0.04590900000039255 0.04628599999978178 0.045952999999826716 0.04605939999983093 symmetric_difference_update_large RB-Tree 1000000 0.4779109999999491 0.4985740000001897 0.48237799999969866 0.48514339999983347 pop SortedSet 100 4.999999873689376e-06 6.999999641266186e-06 6.000000212225132e-06 5.999999848427251e-06 pop SortedSet 1000 1.900000006571645e-05 2.3999999939405825e-05 1.900000006571645e-05 2.0000000040454326e-05 pop SortedSet 10000 0.0001430000002073939 0.00015299999995477265 0.0001449999999749707 0.00014620000001741573 pop SortedSet 100000 0.0014209999999366119 0.0014689999998154235 0.0014240000000427244 0.0014319999998406274 pop SortedSet 1000000 0.014530000000377186 0.014622000000599655 0.014560000000528817 0.014567400000123598 pop B-Tree 100 3.99999953515362e-06 5.000000783184078e-06 4.999999873689376e-06 4.600000102072954e-06 pop B-Tree 1000 1.3999999282532372e-05 1.500000053056283e-05 1.4999999621068127e-05 1.4599999849451705e-05 pop B-Tree 10000 0.00012399999923218274 0.00012700000024779 0.00012599999990925426 0.00012559999977383994 pop B-Tree 100000 0.0012959999994563987 0.0013109999999869615 0.00130899999930989 0.0013069999997242121 pop B-Tree 1000000 0.014345999999932246 0.014818999999988591 0.014704000000165252 0.014646799999900395 pop RB-Tree 100 1.99999976757681e-06 3.000000106112566e-06 3.000000106112566e-06 2.8000000384054148e-06 pop RB-Tree 1000 3.99999953515362e-06 6.000000212225132e-06 4.999999873689376e-06 4.999999691790435e-06 pop RB-Tree 10000 1.7999999727180693e-05 2.099999983329326e-05 1.8000000636675395e-05 1.87999999980093e-05 pop RB-Tree 100000 0.00017699999989417847 0.0002210000002378365 0.00017800000023271423 0.00018759999984467867 pop RB-Tree 1000000 0.0016749999995226972 0.0017520000001240987 0.00171299999965413 0.0017115999999077758 pop Skip-List 100 9.999999747378752e-06 1.1999999514955562e-05 1.0000000656873453e-05 1.0599999950500204e-05 pop Skip-List 1000 5.700000019714935e-05 6.100000064179767e-05 5.899999996472616e-05 5.94000002820394e-05 pop Skip-List 10000 0.0005620000001727021 0.0006359999997584964 0.0005659999997078557 0.0005807999998069136 pop Skip-List 100000 0.006061000000045169 0.006365000000187138 0.0061659999992116354 0.0061895999999251215 pop Skip-List 1000000 0.06538999999975204 0.06862400000045454 0.06597800000054121 0.06653200000018841 init SortedSet 100 1.2999999853491317e-05 1.4999999621068127e-05 1.4000000192027073e-05 1.3800000124319922e-05 init SortedSet 1000 5.199999941396527e-05 5.400000009103678e-05 5.200000032345997e-05 5.2599999980884606e-05 init SortedSet 10000 0.0005819999996674596 0.0005879999998796848 0.0005839999994350364 0.0005841999996846426 init SortedSet 100000 0.008349000000634987 0.009618000000045868 0.008982999999716412 0.008871800000088114 init SortedSet 1000000 0.15111800000067888 0.15922299999965617 0.15713400000004185 0.15526980000013282 init B-Tree 100 0.0013269999999465654 0.0013600000002043089 0.0013290000006236369 0.0013358000001971958 init B-Tree 1000 0.020531999999548134 0.02059800000006362 0.020561000000270724 0.020560199999817997 init B-Tree 10000 0.3226510000004055 0.32339300000057847 0.32278800000040064 0.322885000000133 init B-Tree 100000 4.403553999999531 4.453508000000511 4.426534000000174 4.428352600000108 init RB-Tree 100 5.2999999752501026e-05 5.700000019714935e-05 5.400000009103678e-05 5.43999998626532e-05 init RB-Tree 1000 0.0004779999999300344 0.0005209999999351567 0.000481999999465188 0.0004887999997663428 init RB-Tree 10000 0.005301999999574036 0.005739999999605061 0.005343999999240623 0.0054121999995913935 init RB-Tree 100000 0.0693410000003496 0.07161699999960547 0.07037000000036642 0.07048439999998664 init RB-Tree 1000000 0.9810820000002423 1.0326239999994868 0.9965780000002269 0.9985264000000825 python-sortedcontainers-2.1.0/tests/sortedcollection.py000066400000000000000000000271161337542712000235220ustar00rootroot00000000000000"""Python Sorted Collection Module by Raymond Hettinger Copied from http://code.activestate.com/recipes/577197-sortedcollection/ Retrieved on April 22, 2018 """ from bisect import bisect_left, bisect_right class SortedCollection(object): '''Sequence sorted by a key function. SortedCollection() is much easier to work with than using bisect() directly. It supports key functions like those use in sorted(), min(), and max(). The result of the key function call is saved so that keys can be searched efficiently. Instead of returning an insertion-point which can be hard to interpret, the five find-methods return a specific item in the sequence. They can scan for exact matches, the last item less-than-or-equal to a key, or the first item greater-than-or-equal to a key. Once found, an item's ordinal position can be located with the index() method. New items can be added with the insert() and insert_right() methods. Old items can be deleted with the remove() method. The usual sequence methods are provided to support indexing, slicing, length lookup, clearing, copying, forward and reverse iteration, contains checking, item counts, item removal, and a nice looking repr. Finding and indexing are O(log n) operations while iteration and insertion are O(n). The initial sort is O(n log n). The key function is stored in the 'key' attibute for easy introspection or so that you can assign a new key function (triggering an automatic re-sort). In short, the class was designed to handle all of the common use cases for bisect but with a simpler API and support for key functions. >>> from pprint import pprint >>> from operator import itemgetter >>> s = SortedCollection(key=itemgetter(2)) >>> for record in [ ... ('roger', 'young', 30), ... ('angela', 'jones', 28), ... ('bill', 'smith', 22), ... ('david', 'thomas', 32)]: ... s.insert(record) >>> pprint(list(s)) # show records sorted by age [('bill', 'smith', 22), ('angela', 'jones', 28), ('roger', 'young', 30), ('david', 'thomas', 32)] >>> s.find_le(29) # find oldest person aged 29 or younger ('angela', 'jones', 28) >>> s.find_lt(28) # find oldest person under 28 ('bill', 'smith', 22) >>> s.find_gt(28) # find youngest person over 28 ('roger', 'young', 30) >>> r = s.find_ge(32) # find youngest person aged 32 or older >>> s.index(r) # get the index of their record 3 >>> s[3] # fetch the record at that index ('david', 'thomas', 32) >>> s.key = itemgetter(0) # now sort by first name >>> pprint(list(s)) [('angela', 'jones', 28), ('bill', 'smith', 22), ('david', 'thomas', 32), ('roger', 'young', 30)] ''' def __init__(self, iterable=(), key=None): self._given_key = key key = (lambda x: x) if key is None else key decorated = sorted((key(item), item) for item in iterable) self._keys = [k for k, item in decorated] self._items = [item for k, item in decorated] self._key = key def _getkey(self): return self._key def _setkey(self, key): if key is not self._key: self.__init__(self._items, key=key) def _delkey(self): self._setkey(None) key = property(_getkey, _setkey, _delkey, 'key function') def clear(self): self.__init__([], self._key) def copy(self): return self.__class__(self, self._key) def __len__(self): return len(self._items) def __getitem__(self, i): return self._items[i] def __iter__(self): return iter(self._items) def __reversed__(self): return reversed(self._items) def __repr__(self): return '%s(%r, key=%s)' % ( self.__class__.__name__, self._items, getattr(self._given_key, '__name__', repr(self._given_key)) ) def __reduce__(self): return self.__class__, (self._items, self._given_key) def __contains__(self, item): k = self._key(item) i = bisect_left(self._keys, k) j = bisect_right(self._keys, k) return item in self._items[i:j] def index(self, item): 'Find the position of an item. Raise ValueError if not found.' k = self._key(item) i = bisect_left(self._keys, k) j = bisect_right(self._keys, k) return self._items[i:j].index(item) + i def count(self, item): 'Return number of occurrences of item' k = self._key(item) i = bisect_left(self._keys, k) j = bisect_right(self._keys, k) return self._items[i:j].count(item) def insert(self, item): 'Insert a new item. If equal keys are found, add to the left' k = self._key(item) i = bisect_left(self._keys, k) self._keys.insert(i, k) self._items.insert(i, item) def insert_right(self, item): 'Insert a new item. If equal keys are found, add to the right' k = self._key(item) i = bisect_right(self._keys, k) self._keys.insert(i, k) self._items.insert(i, item) def remove(self, item): 'Remove first occurence of item. Raise ValueError if not found' i = self.index(item) del self._keys[i] del self._items[i] def find(self, k): 'Return first item with a key == k. Raise ValueError if not found.' i = bisect_left(self._keys, k) if i != len(self) and self._keys[i] == k: return self._items[i] raise ValueError('No item found with key equal to: %r' % (k,)) def find_le(self, k): 'Return last item with a key <= k. Raise ValueError if not found.' i = bisect_right(self._keys, k) if i: return self._items[i-1] raise ValueError('No item found with key at or below: %r' % (k,)) def find_lt(self, k): 'Return last item with a key < k. Raise ValueError if not found.' i = bisect_left(self._keys, k) if i: return self._items[i-1] raise ValueError('No item found with key below: %r' % (k,)) def find_ge(self, k): 'Return first item with a key >= equal to k. Raise ValueError if not found' i = bisect_left(self._keys, k) if i != len(self): return self._items[i] raise ValueError('No item found with key at or above: %r' % (k,)) def find_gt(self, k): 'Return first item with a key > k. Raise ValueError if not found' i = bisect_right(self._keys, k) if i != len(self): return self._items[i] raise ValueError('No item found with key above: %r' % (k,)) # GrantJ 05/16/18 -- Additions for benchmarking. add = insert def update(self, iterable): for value in iterable: self.insert(value) def bisect(self, item): key = self._key(item) pos = bisect_left(self._keys, key) return pos def pop(self): self._keys.pop() return self._items.pop() def discard(self, item): try: self.remove(item) except ValueError: pass def __delitem__(self, index): del self._keys[index] del self._items[index] # --------------------------- Simple demo and tests ------------------------- if __name__ == '__main__': def ve2no(f, *args): 'Convert ValueError result to -1' try: return f(*args) except ValueError: return -1 def slow_index(seq, k): 'Location of match or -1 if not found' for i, item in enumerate(seq): if item == k: return i return -1 def slow_find(seq, k): 'First item with a key equal to k. -1 if not found' for item in seq: if item == k: return item return -1 def slow_find_le(seq, k): 'Last item with a key less-than or equal to k.' for item in reversed(seq): if item <= k: return item return -1 def slow_find_lt(seq, k): 'Last item with a key less-than k.' for item in reversed(seq): if item < k: return item return -1 def slow_find_ge(seq, k): 'First item with a key-value greater-than or equal to k.' for item in seq: if item >= k: return item return -1 def slow_find_gt(seq, k): 'First item with a key-value greater-than or equal to k.' for item in seq: if item > k: return item return -1 from random import choice pool = [1.5, 2, 2.0, 3, 3.0, 3.5, 4, 4.0, 4.5] for i in range(500): for n in range(6): s = [choice(pool) for i in range(n)] sc = SortedCollection(s) s.sort() for probe in pool: assert repr(ve2no(sc.index, probe)) == repr(slow_index(s, probe)) assert repr(ve2no(sc.find, probe)) == repr(slow_find(s, probe)) assert repr(ve2no(sc.find_le, probe)) == repr(slow_find_le(s, probe)) assert repr(ve2no(sc.find_lt, probe)) == repr(slow_find_lt(s, probe)) assert repr(ve2no(sc.find_ge, probe)) == repr(slow_find_ge(s, probe)) assert repr(ve2no(sc.find_gt, probe)) == repr(slow_find_gt(s, probe)) for i, item in enumerate(s): assert repr(item) == repr(sc[i]) # test __getitem__ assert item in sc # test __contains__ and __iter__ assert s.count(item) == sc.count(item) # test count() assert len(sc) == n # test __len__ assert list(map(repr, reversed(sc))) == list(map(repr, reversed(s))) # test __reversed__ assert list(sc.copy()) == list(sc) # test copy() sc.clear() # test clear() assert len(sc) == 0 sd = SortedCollection('The quick Brown Fox jumped'.split(), key=str.lower) assert sd._keys == ['brown', 'fox', 'jumped', 'quick', 'the'] assert sd._items == ['Brown', 'Fox', 'jumped', 'quick', 'The'] assert sd._key == str.lower assert repr(sd) == "SortedCollection(['Brown', 'Fox', 'jumped', 'quick', 'The'], key=lower)" sd.key = str.upper assert sd._key == str.upper assert len(sd) == 5 assert list(reversed(sd)) == ['The', 'quick', 'jumped', 'Fox', 'Brown'] for item in sd: assert item in sd for i, item in enumerate(sd): assert item == sd[i] sd.insert('jUmPeD') sd.insert_right('QuIcK') assert sd._keys ==['BROWN', 'FOX', 'JUMPED', 'JUMPED', 'QUICK', 'QUICK', 'THE'] assert sd._items == ['Brown', 'Fox', 'jUmPeD', 'jumped', 'quick', 'QuIcK', 'The'] assert sd.find_le('JUMPED') == 'jumped', sd.find_le('JUMPED') assert sd.find_ge('JUMPED') == 'jUmPeD' assert sd.find_le('GOAT') == 'Fox' assert sd.find_ge('GOAT') == 'jUmPeD' assert sd.find('FOX') == 'Fox' assert sd[3] == 'jumped' assert sd[3:5] ==['jumped', 'quick'] assert sd[-2] == 'QuIcK' assert sd[-4:-2] == ['jumped', 'quick'] for i, item in enumerate(sd): assert sd.index(item) == i try: sd.index('xyzpdq') except ValueError: pass else: assert 0, 'Oops, failed to notify of missing value' sd.remove('jumped') assert list(sd) == ['Brown', 'Fox', 'jUmPeD', 'quick', 'QuIcK', 'The'] import doctest from operator import itemgetter print(doctest.testmod()) python-sortedcontainers-2.1.0/tests/stress.sh000077500000000000000000000013241337542712000214470ustar00rootroot00000000000000#!/bin/bash trap "exit" INT OFFSET=1 ITER=10000 LOOP=1 PARALLEL=8 start=$(date +"%s") rm output.txt for runtime in 27 35; do ( for name in sortedlist sorteddict sortedset; do ( for j in $(seq 1 $LOOP); do ( for i in $(seq 1 $PARALLEL); do ( echo ". env$runtime/bin/activate && python -m tests.test_stress_$name $ITER $OFFSET$runtime$j$i >> output.txt 2>&1" | tee -a output.txt | bash ) & done wait ) done ) done ) done cat output.txt end=$(date +"%s") diff=$(($end - $start)) echo "$(($diff / 60)) minutes and $(($diff % 60)) seconds elapsed." diff=$(($diff * $PARALLEL)) echo "$(($diff / 60)) minutes and $(($diff % 60)) seconds of stress." python-sortedcontainers-2.1.0/tests/test_coverage_sorteddict.py000066400000000000000000000351101337542712000252150ustar00rootroot00000000000000# -*- coding: utf-8 -*- import random, string from .context import sortedcontainers from sortedcontainers import SortedDict import pytest from sys import hexversion if hexversion < 0x03000000: range = xrange def negate(value): return -value def modulo(value): return value % 10 def get_keysview(dic): if hexversion < 0x03000000: return dic.viewkeys() else: return dic.keys() def get_itemsview(dic): if hexversion < 0x03000000: return dic.viewitems() else: return dic.items() def test_init(): temp = SortedDict() assert temp.key is None temp._check() def test_init_key(): temp = SortedDict(negate) assert temp.key == negate temp._check() def test_init_args(): temp = SortedDict([('a', 1), ('b', 2)]) assert len(temp) == 2 assert temp['a'] == 1 assert temp['b'] == 2 temp._check() def test_init_kwargs(): temp = SortedDict(a=1, b=2) assert len(temp) == 2 assert temp['a'] == 1 assert temp['b'] == 2 temp._check() def test_clear(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert len(temp) == 26 assert list(temp.items()) == mapping temp.clear() assert len(temp) == 0 def test_contains(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert all((val in temp) for val in string.ascii_lowercase) def test_delitem(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) del temp['a'] temp._check() def test_getitem(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert all((temp[val] == pos) for pos, val in enumerate(string.ascii_lowercase)) def test_eq(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp1 = SortedDict(mapping) temp2 = SortedDict(mapping) assert temp1 == temp2 assert not (temp1 != temp2) temp2['a'] = 100 assert temp1 != temp2 assert not (temp1 == temp2) del temp2['a'] assert temp1 != temp2 assert not (temp1 == temp2) temp2['zz'] = 0 assert temp1 != temp2 assert not (temp1 == temp2) def test_iter(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert all(lhs == rhs for lhs, rhs in zip(temp, string.ascii_lowercase)) def test_iter_key(): temp = SortedDict(negate, ((val, val) for val in range(100))) temp._reset(7) assert all(lhs == rhs for lhs, rhs in zip(temp, reversed(range(100)))) def test_reversed(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert all(lhs == rhs for lhs, rhs in zip(reversed(temp), reversed(string.ascii_lowercase))) def test_reversed_key(): temp = SortedDict(modulo, ((val, val) for val in range(100))) temp._reset(7) values = sorted(range(100), key=modulo) assert all(lhs == rhs for lhs, rhs in zip(reversed(temp), reversed(values))) def test_islice(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) temp._reset(7) for start in range(30): for stop in range(30): assert list(temp.islice(start, stop)) == list(string.ascii_lowercase[start:stop]) def test_irange(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) temp._reset(7) for start in range(26): for stop in range(start + 1, 26): result = list(string.ascii_lowercase[start:stop]) assert list(temp.irange(result[0], result[-1])) == result def test_irange_key(): temp = SortedDict(modulo, ((val, val) for val in range(100))) temp._reset(7) values = sorted(range(100), key=modulo) for start in range(10): for stop in range(start, 10): result = list(temp.irange_key(start, stop)) assert result == values[(start * 10):((stop + 1) * 10)] def test_len(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert len(temp) == 26 def test_setitem(): temp = SortedDict() for pos, key in enumerate(string.ascii_lowercase): temp[key] = pos temp._check() assert len(temp) == 26 for pos, key in enumerate(string.ascii_lowercase): temp[key] = pos temp._check() assert len(temp) == 26 def test_copy(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) dup = temp.copy() assert len(temp) == 26 assert len(dup) == 26 dup.clear() assert len(temp) == 26 assert len(dup) == 0 def test_copy_copy(): import copy mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) dup = copy.copy(temp) assert len(temp) == 26 assert len(dup) == 26 dup.clear() assert len(temp) == 26 assert len(dup) == 0 def test_fromkeys(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict.fromkeys(mapping, 1) assert all(temp[key] == 1 for key in temp) def test_get(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.get('a') == 0 assert temp.get('A', -1) == -1 def test_has_key(): if hexversion > 0x03000000: return mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.has_key('a') def test_items(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert list(temp.items()) == mapping def test_keys(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert list(temp.keys()) == [key for key, pos in mapping] def test_values(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert list(temp.values()) == [pos for key, pos in mapping] def test_iterkeys(): temp = SortedDict() with pytest.raises(AttributeError): temp.iterkeys def test_notgiven(): assert repr(SortedDict._SortedDict__not_given) == '' def test_pop(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.pop('a') == 0 assert temp.pop('a', -1) == -1 def test_pop2(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) with pytest.raises(KeyError): temp.pop('A') def test_popitem(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.popitem() == ('z', 25) def test_popitem2(): temp = SortedDict() with pytest.raises(KeyError): temp.popitem() def test_popitem3(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.popitem(index=0) == ('a', 0) def test_peekitem(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.peekitem() == ('z', 25) assert temp.peekitem(0) == ('a', 0) assert temp.peekitem(index=4) == ('e', 4) def test_peekitem2(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) with pytest.raises(IndexError): temp.peekitem(index=100) def test_setdefault(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.setdefault('a', -1) == 0 assert temp['a'] == 0 assert temp.setdefault('A', -1) == -1 def test_update(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict() temp.update() temp.update(mapping) temp.update(dict(mapping)) temp.update(mapping[5:7]) assert list(temp.items()) == mapping def test_update2(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict() temp.update(**dict(mapping)) assert list(temp.items()) == mapping def test_repr(): temp = SortedDict({'alice': 3, 'bob': 1, 'carol': 2, 'dave': 4}) assert repr(temp) == "SortedDict({'alice': 3, 'bob': 1, 'carol': 2, 'dave': 4})" class Identity(object): def __call__(self, value): return value def __repr__(self): return 'identity' def test_repr_recursion(): temp = SortedDict(Identity(), {'alice': 3, 'bob': 1, 'carol': 2, 'dave': 4}) temp['bob'] = temp assert repr(temp) == "SortedDict(identity, {'alice': 3, 'bob': ..., 'carol': 2, 'dave': 4})" def test_repr_subclass(): class CustomSortedDict(SortedDict): pass temp = CustomSortedDict({'alice': 3, 'bob': 1, 'carol': 2, 'dave': 4}) assert repr(temp) == "CustomSortedDict({'alice': 3, 'bob': 1, 'carol': 2, 'dave': 4})" def test_index(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.index('a') == 0 assert temp.index('f', 3, -3) == 5 def test_iloc(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert len(temp.iloc) == 26 assert temp.iloc[0] == 'a' assert temp.iloc[-1] == 'z' assert temp.iloc[-3:] == ['x', 'y', 'z'] del temp.iloc[0] assert temp.iloc[0] == 'b' del temp.iloc[-3:] assert temp.iloc[-1] == 'w' def test_index_key(): temp = SortedDict(negate, ((val, val) for val in range(100))) temp._reset(7) assert all(temp.index(val) == (99 - val) for val in range(100)) def test_bisect(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping) assert temp.bisect_left('a') == 0 assert temp.bisect_right('f') == 6 assert temp.bisect('f') == 6 def test_bisect_key(): temp = SortedDict(modulo, ((val, val) for val in range(100))) temp._reset(7) assert all(temp.bisect(val) == ((val % 10) + 1) * 10 for val in range(100)) assert all(temp.bisect_right(val) == ((val % 10) + 1) * 10 for val in range(100)) assert all(temp.bisect_left(val) == (val % 10) * 10 for val in range(100)) def test_bisect_key2(): temp = SortedDict(modulo, ((val, val) for val in range(100))) temp._reset(7) assert all(temp.bisect_key(val) == ((val % 10) + 1) * 10 for val in range(10)) assert all(temp.bisect_key_right(val) == ((val % 10) + 1) * 10 for val in range(10)) assert all(temp.bisect_key_left(val) == (val % 10) * 10 for val in range(10)) def test_keysview(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping[:13]) keys = temp.keys() assert len(keys) == 13 assert 'a' in keys assert list(keys) == [val for val, pos in mapping[:13]] assert keys[0] == 'a' assert list(reversed(keys)) == list(reversed(string.ascii_lowercase[:13])) assert keys.index('f') == 5 assert keys.count('m') == 1 assert keys.count('0') == 0 assert keys.isdisjoint(['1', '2', '3']) temp.update(mapping[13:]) assert len(keys) == 26 assert 'z' in keys assert list(keys) == [val for val, pos in mapping] that = dict(mapping) that_keys = get_keysview(that) assert keys == that_keys assert not (keys != that_keys) assert not (keys < that_keys) assert not (keys > that_keys) assert keys <= that_keys assert keys >= that_keys assert list(keys & that_keys) == [val for val, pos in mapping] assert list(keys | that_keys) == [val for val, pos in mapping] assert list(keys - that_keys) == [] assert list(keys ^ that_keys) == [] keys = SortedDict(mapping[:2]).keys() assert repr(keys) == "SortedKeysView(SortedDict({'a': 0, 'b': 1}))" def test_valuesview(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping[:13]) values = temp.values() assert len(values) == 13 assert 0 in values assert list(values) == [pos for val, pos in mapping[:13]] assert values[0] == 0 assert values[-3:] == [10, 11, 12] assert list(reversed(values)) == list(reversed(range(13))) assert values.index(5) == 5 assert values.count(10) == 1 temp.update(mapping[13:]) assert len(values) == 26 assert 25 in values assert list(values) == [pos for val, pos in mapping] values = SortedDict(mapping[:2]).values() assert repr(values) == "SortedValuesView(SortedDict({'a': 0, 'b': 1}))" def test_values_view_index(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping[:13]) values = temp.values() with pytest.raises(ValueError): values.index(100) def test_itemsview(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping[:13]) items = temp.items() assert len(items) == 13 assert ('a', 0) in items assert list(items) == mapping[:13] assert items[0] == ('a', 0) assert items[-3:] == [('k', 10), ('l', 11), ('m', 12)] assert list(reversed(items)) == list(reversed(mapping[:13])) assert items.index(('f', 5)) == 5 assert items.count(('m', 12)) == 1 assert items.isdisjoint([('0', 26), ('1', 27)]) assert not items.isdisjoint([('a', 0), ('b', 1)]) temp.update(mapping[13:]) assert len(items) == 26 assert ('z', 25) in items assert list(items) == mapping that = dict(mapping) that_items = get_itemsview(that) assert items == that_items assert not (items != that_items) assert not (items < that_items) assert not (items > that_items) assert items <= that_items assert items >= that_items assert list(items & that_items) == mapping assert list(items | that_items) == mapping assert list(items - that_items) == [] assert list(items ^ that_items) == [] items = SortedDict(mapping[:2]).items() assert repr(items) == "SortedItemsView(SortedDict({'a': 0, 'b': 1}))" def test_items_view_index(): mapping = [(val, pos) for pos, val in enumerate(string.ascii_lowercase)] temp = SortedDict(mapping[:13]) items = temp.items() with pytest.raises(ValueError): items.index(('f', 100)) def test_pickle(): import pickle alpha = SortedDict(negate, zip(range(10000), range(10000))) alpha._reset(500) beta = pickle.loads(pickle.dumps(alpha)) assert alpha == beta assert alpha._key == beta._key python-sortedcontainers-2.1.0/tests/test_coverage_sortedkeylist_modulo.py000066400000000000000000000472171337542712000273500ustar00rootroot00000000000000# -*- coding: utf-8 -*- from sys import hexversion import random from .context import sortedcontainers from sortedcontainers import SortedList, SortedKeyList import pytest if hexversion < 0x03000000: from itertools import izip as zip range = xrange def modulo(val): return val % 10 def test_init(): slt = SortedKeyList(key=modulo) assert slt.key == modulo slt._check() slt = SortedKeyList(key=modulo) slt._reset(10000) assert slt._load == 10000 slt._check() slt = SortedKeyList(range(10000), key=modulo) assert all(tup[0] == tup[1] for tup in zip(slt, sorted(range(10000), key=modulo))) slt.clear() assert slt._len == 0 assert slt._maxes == [] assert slt._lists == [] assert isinstance(slt, SortedList) assert isinstance(slt, SortedKeyList) slt._check() def test_new(): slt = SortedList(iter(range(1000)), key=modulo) assert slt == sorted(range(1000), key=modulo) slt._check() assert isinstance(slt, SortedList) assert isinstance(slt, SortedKeyList) assert type(slt) == SortedKeyList slt = SortedKeyList(iter(range(1000)), key=modulo) assert slt == sorted(range(1000), key=modulo) slt._check() assert isinstance(slt, SortedList) assert isinstance(slt, SortedKeyList) assert type(slt) == SortedKeyList def test_new_error(): class SortedListPlus(SortedList): pass with pytest.raises(TypeError): SortedListPlus(key=modulo) def test_key(): slt = SortedKeyList(range(10000), key=lambda val: val % 10) slt._check() values = sorted(range(10000), key=lambda val: (val % 10, val)) assert slt == values assert all(val in slt for val in range(10000)) def test_key2(): class Incomparable: pass a = Incomparable() b = Incomparable() slt = SortedKeyList(key=lambda val: 1) slt.add(a) slt.add(b) assert slt == [a, b] def test_add(): random.seed(0) slt = SortedKeyList(key=modulo) for val in range(1000): slt.add(val) slt._check() slt = SortedKeyList(key=modulo) for val in range(1000, 0, -1): slt.add(val) slt._check() slt = SortedKeyList(key=modulo) for val in range(1000): slt.add(random.random()) slt._check() def test_update(): slt = SortedKeyList(key=modulo) slt.update(range(1000)) assert all(tup[0] == tup[1] for tup in zip(slt, sorted(range(1000), key=modulo))) assert len(slt) == 1000 slt._check() slt.update(range(10000)) assert len(slt) == 11000 slt._check() def test_contains(): slt = SortedKeyList(key=modulo) slt._reset(7) assert 0 not in slt slt.update(range(100)) for val in range(100): assert val in slt assert 100 not in slt slt._check() slt = SortedKeyList(range(100), key=modulo) slt._reset(4) assert all(val not in slt for val in range(100, 200)) def test_discard(): slt = SortedKeyList(key=modulo) assert slt.discard(0) == None assert len(slt) == 0 slt._check() slt = SortedKeyList([1, 2, 2, 2, 3, 3, 5], key=modulo) slt._reset(4) slt.discard(6) slt._check() slt.discard(4) slt._check() slt.discard(2) slt._check() slt.discard(11) slt.discard(12) slt.discard(13) slt.discard(15) assert all(tup[0] == tup[1] for tup in zip(slt, [1, 2, 2, 3, 3, 5])) def test_remove(): slt = SortedKeyList(key=modulo) assert slt.discard(0) == None assert len(slt) == 0 slt._check() slt = SortedKeyList([1, 2, 2, 2, 3, 3, 5], key=modulo) slt._reset(4) slt.remove(2) slt._check() assert all(tup[0] == tup[1] for tup in zip(slt, [1, 2, 2, 3, 3, 5])) def test_remove_valueerror1(): slt = SortedKeyList(key=modulo) with pytest.raises(ValueError): slt.remove(0) def test_remove_valueerror2(): slt = SortedKeyList(range(100), key=modulo) slt._reset(10) with pytest.raises(ValueError): slt.remove(100) def test_remove_valueerror3(): slt = SortedKeyList([1, 2, 2, 2, 3, 3, 5], key=modulo) with pytest.raises(ValueError): slt.remove(4) def test_remove_valueerror4(): slt = SortedKeyList([1, 1, 1, 2, 2, 2], key=modulo) with pytest.raises(ValueError): slt.remove(13) def test_remove_valueerror5(): slt = SortedKeyList([1, 1, 1, 2, 2, 2], key=modulo) with pytest.raises(ValueError): slt.remove(12) def test_delete(): slt = SortedKeyList(range(20), key=modulo) slt._reset(4) slt._check() for val in range(20): slt.remove(val) slt._check() assert len(slt) == 0 assert slt._maxes == [] assert slt._lists == [] def test_getitem(): random.seed(0) slt = SortedKeyList(key=modulo) slt._reset(17) slt.add(5) slt._build_index() slt._check() slt.clear() lst = list(random.random() for rpt in range(100)) slt.update(lst) lst.sort(key=modulo) assert all(slt[idx] == lst[idx] for idx in range(100)) assert all(slt[idx - 99] == lst[idx - 99] for idx in range(100)) def test_getitem_slice(): random.seed(0) slt = SortedKeyList(key=modulo) slt._reset(17) lst = list() for rpt in range(100): val = random.random() slt.add(val) lst.append(val) lst.sort(key=modulo) assert all(slt[start:] == lst[start:] for start in [-75, -25, 0, 25, 75]) assert all(slt[:stop] == lst[:stop] for stop in [-75, -25, 0, 25, 75]) assert all(slt[::step] == lst[::step] for step in [-5, -1, 1, 5]) assert all(slt[start:stop] == lst[start:stop] for start in [-75, -25, 0, 25, 75] for stop in [-75, -25, 0, 25, 75]) assert all(slt[:stop:step] == lst[:stop:step] for stop in [-75, -25, 0, 25, 75] for step in [-5, -1, 1, 5]) assert all(slt[start::step] == lst[start::step] for start in [-75, -25, 0, 25, 75] for step in [-5, -1, 1, 5]) assert all(slt[start:stop:step] == lst[start:stop:step] for start in [-75, -25, 0, 25, 75] for stop in [-75, -25, 0, 25, 75] for step in [-5, -1, 1, 5]) def test_getitem_slice_big(): slt = SortedKeyList(range(4), key=modulo) lst = sorted(range(4), key=modulo) itr = ((start, stop, step) for start in [-6, -4, -2, 0, 2, 4, 6] for stop in [-6, -4, -2, 0, 2, 4, 6] for step in [-3, -2, -1, 1, 2, 3]) for start, stop, step in itr: assert slt[start:stop:step] == lst[start:stop:step] def test_getitem_slicezero(): slt = SortedKeyList(range(100), key=modulo) slt._reset(17) with pytest.raises(ValueError): slt[::0] def test_getitem_indexerror1(): slt = SortedKeyList(key=modulo) with pytest.raises(IndexError): slt[5] def test_getitem_indexerror2(): slt = SortedKeyList(range(100), key=modulo) with pytest.raises(IndexError): slt[200] def test_getitem_indexerror3(): slt = SortedKeyList(range(100), key=modulo) with pytest.raises(IndexError): slt[-101] def test_delitem(): random.seed(0) slt = SortedKeyList(range(100), key=modulo) slt._reset(17) while len(slt) > 0: del slt[random.randrange(len(slt))] slt._check() slt = SortedKeyList(range(100), key=modulo) slt._reset(17) del slt[:] assert len(slt) == 0 slt._check() def test_delitem_slice(): slt = SortedKeyList(range(100), key=modulo) slt._reset(17) del slt[10:40:1] del slt[10:40:-1] del slt[10:40:2] del slt[10:40:-2] def test_iter(): slt = SortedKeyList(range(10000), key=modulo) itr = iter(slt) assert all(tup[0] == tup[1] for tup in zip(sorted(range(10000), key=modulo), itr)) def test_reversed(): slt = SortedKeyList(range(10000), key=modulo) rev = reversed(slt) assert all(tup[0] == tup[1] for tup in zip(reversed(sorted(range(10000), key=modulo)), rev)) def test_reverse(): slt = SortedKeyList(range(10000), key=modulo) with pytest.raises(NotImplementedError): slt.reverse() def test_islice(): sl = SortedKeyList(key=modulo) sl._reset(7) assert [] == list(sl.islice()) values = sorted(range(100), key=modulo) sl.update(values) for start in range(53): for stop in range(53): assert list(sl.islice(start, stop)) == values[start:stop] for start in range(53): for stop in range(53): assert list(sl.islice(start, stop, reverse=True)) == values[start:stop][::-1] for start in range(53): assert list(sl.islice(start=start)) == values[start:] assert list(sl.islice(start=start, reverse=True)) == values[start:][::-1] for stop in range(53): assert list(sl.islice(stop=stop)) == values[:stop] assert list(sl.islice(stop=stop, reverse=True)) == values[:stop][::-1] def test_irange(): values = sorted(range(100), key=modulo) for load in range(5, 16): slt = SortedKeyList(range(100), key=modulo) slt._reset(load) for start in range(10): for end in range(start, 10): temp = list(slt.irange(start, end)) assert temp == values[(start * 10):((end + 1) * 10)] temp = list(slt.irange(start, end, reverse=True)) assert temp == values[(start * 10):((end + 1) * 10)][::-1] for start in range(10): for end in range(start, 10): temp = list(slt.irange(start, end, inclusive=(True, False))) assert temp == values[(start * 10):(end * 10)] for start in range(10): for end in range(start, 10): temp = list(slt.irange(start, end, (False, True))) assert temp == values[((start + 1) * 10):((end + 1) * 10)] for start in range(10): for end in range(start, 10): temp = list(slt.irange(start, end, inclusive=(False, False))) assert temp == values[((start + 1) * 10):(end * 10)] for start in range(10): temp = list(slt.irange(minimum=start)) assert temp == values[(start * 10):] for end in range(10): temp = list(slt.irange(maximum=end)) assert temp == values[:(end + 1) * 10] def test_irange_key(): values = sorted(range(100), key=modulo) for load in range(5, 16): slt = SortedKeyList(range(100), key=modulo) slt._reset(load) for start in range(10): for end in range(start, 10): temp = list(slt.irange_key(start, end)) assert temp == values[(start * 10):((end + 1) * 10)] temp = list(slt.irange_key(start, end, reverse=True)) assert temp == values[(start * 10):((end + 1) * 10)][::-1] for start in range(10): for end in range(start, 10): temp = list(slt.irange_key(start, end, inclusive=(True, False))) assert temp == values[(start * 10):(end * 10)] for start in range(10): for end in range(start, 10): temp = list(slt.irange_key(start, end, (False, True))) assert temp == values[((start + 1) * 10):((end + 1) * 10)] for start in range(10): for end in range(start, 10): temp = list(slt.irange_key(start, end, inclusive=(False, False))) assert temp == values[((start + 1) * 10):(end * 10)] for start in range(10): temp = list(slt.irange_key(min_key=start)) assert temp == values[(start * 10):] for end in range(10): temp = list(slt.irange_key(max_key=end)) assert temp == values[:(end + 1) * 10] def test_len(): slt = SortedKeyList(key=modulo) for val in range(10000): slt.add(val) assert len(slt) == (val + 1) def test_bisect_left(): slt = SortedKeyList(key=modulo) assert slt.bisect_left(0) == 0 slt = SortedKeyList(range(100), key=modulo) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_left(50) == 0 assert slt.bisect_left(0) == 0 def test_bisect(): slt = SortedKeyList(key=modulo) assert slt.bisect(10) == 0 slt = SortedKeyList(range(100), key=modulo) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect(10) == 20 assert slt.bisect(0) == 20 def test_bisect_right(): slt = SortedKeyList(key=modulo) assert slt.bisect_right(10) == 0 slt = SortedKeyList(range(100), key=modulo) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_right(10) == 20 assert slt.bisect_right(0) == 20 def test_bisect_key_left(): slt = SortedKeyList(key=modulo) assert slt.bisect_key_left(10) == 0 slt = SortedKeyList(range(100), key=modulo) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_key_left(0) == 0 assert slt.bisect_key_left(5) == 100 assert slt.bisect_key_left(10) == 200 def test_bisect_key_right(): slt = SortedKeyList(key=modulo) assert slt.bisect_key_right(0) == 0 slt = SortedKeyList(range(100), key=modulo) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_key_right(0) == 20 assert slt.bisect_key_right(5) == 120 assert slt.bisect_key_right(10) == 200 def test_bisect_key(): slt = SortedKeyList(key=modulo) assert slt.bisect_key(0) == 0 slt = SortedKeyList(range(100), key=modulo) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_key(0) == 20 assert slt.bisect_key(5) == 120 assert slt.bisect_key(10) == 200 def test_copy(): slt = SortedKeyList(range(100), key=modulo) slt._reset(7) two = slt.copy() slt.add(100) assert len(slt) == 101 assert len(two) == 100 def test_copy_copy(): import copy slt = SortedKeyList(range(100), key=modulo) slt._reset(7) two = copy.copy(slt) slt.add(100) assert len(slt) == 101 assert len(two) == 100 def test_count(): slt = SortedKeyList(key=modulo) slt._reset(7) assert slt.count(0) == 0 for iii in range(100): for jjj in range(iii): slt.add(iii) slt._check() for iii in range(100): assert slt.count(iii) == iii slt = SortedKeyList(range(8), key=modulo) assert slt.count(9) == 0 def test_pop(): slt = SortedKeyList(range(10), key=modulo) slt._reset(4) slt._check() assert slt.pop() == 9 slt._check() assert slt.pop(0) == 0 slt._check() assert slt.pop(-2) == 7 slt._check() assert slt.pop(4) == 5 slt._check() def test_pop_indexerror1(): slt = SortedKeyList(range(10), key=modulo) slt._reset(4) with pytest.raises(IndexError): slt.pop(-11) def test_pop_indexerror2(): slt = SortedKeyList(range(10), key=modulo) slt._reset(4) with pytest.raises(IndexError): slt.pop(10) def test_index(): slt = SortedKeyList(range(100), key=modulo) slt._reset(7) for pos, val in enumerate(sorted(range(100), key=modulo)): assert val == slt.index(pos) assert slt.index(9, 0, 1000) == 90 slt = SortedKeyList((0 for rpt in range(100)), key=modulo) slt._reset(7) for start in range(100): for stop in range(start, 100): assert slt.index(0, start, stop + 1) == start for start in range(100): assert slt.index(0, -(100 - start)) == start assert slt.index(0, -1000) == 0 def test_index_valueerror1(): slt = SortedKeyList([0] * 10, key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 10) def test_index_valueerror2(): slt = SortedKeyList([0] * 10, key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 0, -10) def test_index_valueerror3(): slt = SortedKeyList([0] * 10, key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 7, 3) def test_index_valueerror4(): slt = SortedKeyList([0] * 10, key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(1) def test_index_valueerror5(): slt = SortedKeyList(key=modulo) with pytest.raises(ValueError): slt.index(1) def test_index_valueerror6(): slt = SortedKeyList(range(100), key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(91, 0, 15) def test_index_valueerror7(): slt = SortedKeyList([0] * 10 + [1] * 10 + [2] * 10, key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(1, 0, 10) def test_index_valueerror8(): slt = SortedKeyList(range(10), key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(4, 5) def test_index_valueerror9(): slt = SortedKeyList(key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(5) def test_index_valueerror10(): slt = SortedKeyList(range(10), key=modulo) slt._reset(4) with pytest.raises(ValueError): slt.index(19) def test_mul(): this = SortedKeyList(range(10), key=modulo) this._reset(4) that = this * 5 this._check() that._check() assert this == sorted(range(10), key=modulo) assert that == sorted(list(range(10)) * 5, key=modulo) assert this != that def test_imul(): this = SortedKeyList(range(10), key=modulo) this._reset(4) this *= 5 this._check() assert this == sorted(list(range(10)) * 5, key=modulo) def test_op_add(): this = SortedKeyList(range(10), key=modulo) this._reset(4) assert (this + this + this) == (this * 3) that = SortedKeyList(range(10), key=modulo) that._reset(4) that += that that += that assert that == (this * 4) def test_eq(): this = SortedKeyList(range(10), key=modulo) this._reset(4) assert this == list(range(10)) assert this == tuple(range(10)) assert not (this == list(range(9))) def test_ne(): this = SortedKeyList(range(10, 20), key=modulo) this._reset(4) assert this != list(range(11, 21)) assert this != tuple(range(10, 21)) assert this != [0, 1, 2, 3, 3, 5, 6, 7, 8, 9] assert this != (val for val in range(10)) assert this != set() def test_lt(): this = SortedKeyList(range(10, 15), key=modulo) this._reset(4) assert this < [10, 11, 13, 13, 14] assert this < [10, 11, 12, 13, 14, 15] assert this < [11] def test_le(): this = SortedKeyList(range(10, 15), key=modulo) this._reset(4) assert this <= [10, 11, 12, 13, 14] assert this <= [10, 11, 12, 13, 14, 15] assert this <= [10, 11, 13, 13, 14] assert this <= [11] def test_gt(): this = SortedKeyList(range(10, 15), key=modulo) this._reset(4) assert this > [10, 11, 11, 13, 14] assert this > [10, 11, 12, 13] assert this > [9] def test_ge(): this = SortedKeyList(range(10, 15), key=modulo) this._reset(4) assert this >= [10, 11, 12, 13, 14] assert this >= [10, 11, 12, 13] assert this >= [10, 11, 11, 13, 14] assert this >= [9] def test_repr(): this = SortedKeyList(range(10), key=modulo) this._reset(4) assert repr(this).startswith('SortedKeyList([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], key= 0: del slt[random.randrange(len(slt))] slt._check() def test_delitem_slice(): slt = SortedKeyList(range(100), key=negate) slt._reset(17) del slt[10:40:1] del slt[10:40:-1] del slt[10:40:2] del slt[10:40:-2] def test_iter(): slt = SortedKeyList(range(10000), key=negate) itr = iter(slt) assert all(tup[0] == tup[1] for tup in zip(range(9999, -1, -1), itr)) def test_reversed(): slt = SortedKeyList(range(10000), key=negate) rev = reversed(slt) assert all(tup[0] == tup[1] for tup in zip(range(10000), rev)) def test_reverse(): slt = SortedKeyList(range(10000), key=negate) with pytest.raises(NotImplementedError): slt.reverse() def test_islice(): return slt = SortedKeyList(key=negate) slt._reset(7) assert [] == list(slt.islice()) values = sorted(range(53), key=negate) slt.update(values) for start in range(53): for stop in range(53): assert list(slt.islice(start, stop)) == values[start:stop] for start in range(53): for stop in range(53): assert list(slt.islice(start, stop, reverse=True)) == values[start:stop][::-1] for start in range(53): assert list(slt.islice(start=start)) == values[start:] assert list(slt.islice(start=start, reverse=True)) == values[start:][::-1] for stop in range(53): assert list(slt.islice(stop=stop)) == values[:stop] assert list(slt.islice(stop=stop, reverse=True)) == values[:stop][::-1] def test_irange(): slt = SortedKeyList(key=negate) slt._reset(7) assert [] == list(slt.irange()) values = list(range(53)) slt.update(values) for start in range(53): for end in range(start, 53): assert list(slt.irange(end, start)) == values[start:(end + 1)][::-1] assert list(slt.irange(end, start, reverse=True)) == values[start:(end + 1)] for start in range(53): for end in range(start, 53): assert list(slt.irange(end, start, (True, False))) == values[(start + 1):(end + 1)][::-1] for start in range(53): for end in range(start, 53): assert list(slt.irange(end, start, (False, True))) == values[start:end][::-1] for start in range(53): for end in range(start, 53): assert list(slt.irange(end, start, (False, False))) == values[(start + 1):end][::-1] for start in range(53): assert list(slt.irange(start)) == values[:(start + 1)][::-1] for end in range(53): assert list(slt.irange(None, end, (True, False))) == values[(end + 1):][::-1] assert list(slt.irange(inclusive=(False, False))) == values[::-1] assert list(slt.irange(-1)) == [] assert list(slt.irange(None, -1, (True, False))) == values[::-1] def test_len(): slt = SortedKeyList(key=negate) for val in range(10000): slt.add(val) assert len(slt) == (val + 1) def test_bisect_left(): slt = SortedKeyList(key=negate) assert slt.bisect_left(0) == 0 slt = SortedKeyList(range(100), key=negate) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_left(50) == 98 assert slt.bisect_left(0) == 198 assert slt.bisect_left(-1) == 200 def test_bisect(): slt = SortedKeyList(key=negate) assert slt.bisect(10) == 0 slt = SortedKeyList(range(100), key=negate) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect(10) == 180 assert slt.bisect(0) == 200 def test_bisect_right(): slt = SortedKeyList(key=negate) assert slt.bisect_right(10) == 0 slt = SortedKeyList(range(100), key=negate) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_right(10) == 180 assert slt.bisect_right(0) == 200 def test_copy(): slt = SortedKeyList(range(100), key=negate) slt._reset(7) two = slt.copy() slt.add(100) assert len(slt) == 101 assert len(two) == 100 def test_copy_copy(): import copy slt = SortedKeyList(range(100), key=negate) slt._reset(7) two = copy.copy(slt) slt.add(100) assert len(slt) == 101 assert len(two) == 100 def test_count(): slt = SortedKeyList(key=negate) slt._reset(7) assert slt.count(0) == 0 for iii in range(100): for jjj in range(iii): slt.add(iii) slt._check() for iii in range(100): assert slt.count(iii) == iii def test_pop(): slt = SortedKeyList(range(10), key=negate) slt._reset(4) slt._check() assert slt.pop() == 0 slt._check() assert slt.pop(0) == 9 slt._check() assert slt.pop(-2) == 2 slt._check() assert slt.pop(4) == 4 slt._check() def test_pop_indexerror1(): slt = SortedKeyList(range(10), key=negate) slt._reset(4) with pytest.raises(IndexError): slt.pop(-11) def test_pop_indexerror2(): slt = SortedKeyList(range(10), key=negate) slt._reset(4) with pytest.raises(IndexError): slt.pop(10) def test_index(): slt = SortedKeyList(range(100), key=negate) slt._reset(17) for pos, val in enumerate(range(99, -1, -1)): assert val == slt.index(pos) assert slt.index(99, 0, 1000) == 0 slt = SortedKeyList((0 for rpt in range(100)), key=negate) slt._reset(17) for start in range(100): for stop in range(start, 100): assert slt.index(0, start, stop + 1) == start for start in range(100): assert slt.index(0, -(100 - start)) == start assert slt.index(0, -1000) == 0 def test_index_valueerror1(): slt = SortedKeyList([0] * 10, key=negate) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 10) def test_index_valueerror2(): slt = SortedKeyList([0] * 10, key=negate) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 0, -10) def test_index_valueerror3(): slt = SortedKeyList([0] * 10, key=negate) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 7, 3) def test_index_valueerror4(): slt = SortedKeyList([0] * 10, key=negate) slt._reset(4) with pytest.raises(ValueError): slt.index(1) def test_index_valueerror5(): slt = SortedKeyList(key=negate) with pytest.raises(ValueError): slt.index(1) def test_index_valueerror6(): slt = SortedKeyList(range(10), key=negate) slt._reset(4) with pytest.raises(ValueError): slt.index(6, 5) def test_mul(): this = SortedKeyList(range(10), key=negate) this._reset(4) that = this * 5 this._check() that._check() assert this == list(reversed((range(10)))) assert that == list(sorted(list(range(10)) * 5, reverse=True)) assert this != that def test_imul(): this = SortedKeyList(range(10), key=negate) this._reset(4) this *= 5 this._check() assert this == sorted(list(range(10)) * 5, reverse=True) def test_op_add(): this = SortedKeyList(range(10), key=negate) this._reset(4) assert (this + this + this) == (this * 3) that = SortedKeyList(range(10), key=negate) that._reset(4) that += that that += that assert that == (this * 4) def test_eq(): this = SortedKeyList(range(10), key=negate) this._reset(4) that = SortedKeyList(range(20), key=negate) that._reset(4) assert not (this == that) that.clear() that.update(range(10)) assert this == that def test_lt(): this = SortedKeyList(range(10), key=negate) this._reset(4) that = SortedKeyList(range(10, 20), key=negate) that._reset(5) assert this < that assert not (that < this) that = SortedKeyList(range(1, 20), key=negate) that._reset(6) assert this < that that = SortedKeyList(range(1, 10), key=negate) that._reset(4) assert not (this < that) def test_lte(): this = SortedKeyList(range(10), key=negate) this._reset(4) that = SortedKeyList(range(10), key=negate) that._reset(5) assert this <= that assert that <= this del this[-1] assert this <= that assert not (that <= this) def test_gt(): this = SortedKeyList(range(10), key=negate) this._reset(4) that = SortedKeyList(range(10, 20), key=negate) that._reset(5) assert that > this assert not (this > that) that = SortedKeyList(range(1, 20), key=negate) that._reset(6) assert that > this that = SortedKeyList(range(1, 10), key=negate) that._reset(4) assert not (that > this) def test_gte(): this = SortedKeyList(range(10), key=negate) this._reset(4) that = SortedKeyList(range(10), key=negate) that._reset(5) assert this >= that assert that >= this del this[-1] assert that >= this assert not (this >= that) def test_repr(): this = SortedKeyList(range(10), key=negate) this._reset(4) assert repr(this).startswith('SortedKeyList([9, 8, 7, 6, 5, 4, 3, 2, 1, 0], key= 0: pos = random.randrange(len(slt)) del slt[pos] slt._check() slt = SortedList(range(100)) slt._reset(17) del slt[:] assert len(slt) == 0 slt._check() def test_delitem_slice(): slt = SortedList(range(100)) slt._reset(17) del slt[10:40:1] del slt[10:40:-1] del slt[10:40:2] del slt[10:40:-2] def test_iter(): slt = SortedList(range(10000)) itr = iter(slt) assert all(tup[0] == tup[1] for tup in zip(range(10000), itr)) def test_reversed(): slt = SortedList(range(10000)) rev = reversed(slt) assert all(tup[0] == tup[1] for tup in zip(range(9999, -1, -1), rev)) def test_reverse(): slt = SortedList(range(10000)) with pytest.raises(NotImplementedError): slt.reverse() def test_islice(): sl = SortedList() sl._reset(7) assert [] == list(sl.islice()) values = list(range(53)) sl.update(values) for start in range(53): for stop in range(53): assert list(sl.islice(start, stop)) == values[start:stop] for start in range(53): for stop in range(53): assert list(sl.islice(start, stop, reverse=True)) == values[start:stop][::-1] for start in range(53): assert list(sl.islice(start=start)) == values[start:] assert list(sl.islice(start=start, reverse=True)) == values[start:][::-1] for stop in range(53): assert list(sl.islice(stop=stop)) == values[:stop] assert list(sl.islice(stop=stop, reverse=True)) == values[:stop][::-1] def test_irange(): sl = SortedList() sl._reset(7) assert [] == list(sl.irange()) values = list(range(53)) sl.update(values) for start in range(53): for end in range(start, 53): assert list(sl.irange(start, end)) == values[start:(end + 1)] assert list(sl.irange(start, end, reverse=True)) == values[start:(end + 1)][::-1] for start in range(53): for end in range(start, 53): assert list(range(start, end)) == list(sl.irange(start, end, (True, False))) for start in range(53): for end in range(start, 53): assert list(range(start + 1, end + 1)) == list(sl.irange(start, end, (False, True))) for start in range(53): for end in range(start, 53): assert list(range(start + 1, end)) == list(sl.irange(start, end, (False, False))) for start in range(53): assert list(range(start, 53)) == list(sl.irange(start)) for end in range(53): assert list(range(0, end)) == list(sl.irange(None, end, (True, False))) assert values == list(sl.irange(inclusive=(False, False))) assert [] == list(sl.irange(53)) assert values == list(sl.irange(None, 53, (True, False))) def test_len(): slt = SortedList() for val in range(10000): slt.add(val) assert len(slt) == (val + 1) def test_bisect_left(): slt = SortedList() assert slt.bisect_left(0) == 0 slt = SortedList(range(100)) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_left(50) == 100 assert slt.bisect_left(200) == 200 def test_bisect(): slt = SortedList() assert slt.bisect(10) == 0 slt = SortedList(range(100)) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect(10) == 22 assert slt.bisect(200) == 200 def test_bisect_right(): slt = SortedList() assert slt.bisect_right(10) == 0 slt = SortedList(range(100)) slt._reset(17) slt.update(range(100)) slt._check() assert slt.bisect_right(10) == 22 assert slt.bisect_right(200) == 200 def test_copy(): alpha = SortedList(range(100)) alpha._reset(7) beta = alpha.copy() alpha.add(100) assert len(alpha) == 101 assert len(beta) == 100 def test_copy_copy(): import copy alpha = SortedList(range(100)) alpha._reset(7) beta = copy.copy(alpha) alpha.add(100) assert len(alpha) == 101 assert len(beta) == 100 def test_count(): slt = SortedList() slt._reset(7) assert slt.count(0) == 0 for iii in range(100): for jjj in range(iii): slt.add(iii) slt._check() for iii in range(100): assert slt.count(iii) == iii assert slt.count(100) == 0 def test_pop(): slt = SortedList(range(10)) slt._reset(4) slt._check() assert slt.pop() == 9 slt._check() assert slt.pop(0) == 0 slt._check() assert slt.pop(-2) == 7 slt._check() assert slt.pop(4) == 5 slt._check() def test_pop_indexerror1(): slt = SortedList(range(10)) slt._reset(4) with pytest.raises(IndexError): slt.pop(-11) def test_pop_indexerror2(): slt = SortedList(range(10)) slt._reset(4) with pytest.raises(IndexError): slt.pop(10) def test_pop_indexerror3(): slt = SortedList() with pytest.raises(IndexError): slt.pop() def test_index(): slt = SortedList(range(100)) slt._reset(17) for val in range(100): assert val == slt.index(val) assert slt.index(99, 0, 1000) == 99 slt = SortedList((0 for rpt in range(100))) slt._reset(17) for start in range(100): for stop in range(start, 100): assert slt.index(0, start, stop + 1) == start for start in range(100): assert slt.index(0, -(100 - start)) == start assert slt.index(0, -1000) == 0 def test_index_valueerror1(): slt = SortedList([0] * 10) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 10) def test_index_valueerror2(): slt = SortedList([0] * 10) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 0, -10) def test_index_valueerror3(): slt = SortedList([0] * 10) slt._reset(4) with pytest.raises(ValueError): slt.index(0, 7, 3) def test_index_valueerror4(): slt = SortedList([0] * 10) slt._reset(4) with pytest.raises(ValueError): slt.index(1) def test_index_valueerror5(): slt = SortedList() with pytest.raises(ValueError): slt.index(1) def test_index_valueerror6(): slt = SortedList(range(10)) slt._reset(4) with pytest.raises(ValueError): slt.index(3, 5) def test_index_valueerror7(): slt = SortedList([0] * 10 + [2] * 10) slt._reset(4) with pytest.raises(ValueError): slt.index(1, 0, 10) def test_mul(): this = SortedList(range(10)) this._reset(4) that = this * 5 this._check() that._check() assert this == list(range(10)) assert that == sorted(list(range(10)) * 5) assert this != that def test_imul(): this = SortedList(range(10)) this._reset(4) this *= 5 this._check() assert this == sorted(list(range(10)) * 5) def test_op_add(): this = SortedList(range(10)) this._reset(4) assert (this + this + this) == (this * 3) that = SortedList(range(10)) that._reset(4) that += that that += that assert that == (this * 4) def test_eq(): this = SortedList(range(10)) this._reset(4) assert this == list(range(10)) assert this == tuple(range(10)) assert not (this == list(range(9))) def test_ne(): this = SortedList(range(10)) this._reset(4) assert this != list(range(9)) assert this != tuple(range(11)) assert this != [0, 1, 2, 3, 3, 5, 6, 7, 8, 9] assert this != (val for val in range(10)) assert this != set() def test_lt(): this = SortedList(range(10, 15)) this._reset(4) assert this < [10, 11, 13, 13, 14] assert this < [10, 11, 12, 13, 14, 15] assert this < [11] def test_le(): this = SortedList(range(10, 15)) this._reset(4) assert this <= [10, 11, 12, 13, 14] assert this <= [10, 11, 12, 13, 14, 15] assert this <= [10, 11, 13, 13, 14] assert this <= [11] def test_gt(): this = SortedList(range(10, 15)) this._reset(4) assert this > [10, 11, 11, 13, 14] assert this > [10, 11, 12, 13] assert this > [9] def test_ge(): this = SortedList(range(10, 15)) this._reset(4) assert this >= [10, 11, 12, 13, 14] assert this >= [10, 11, 12, 13] assert this >= [10, 11, 11, 13, 14] assert this >= [9] def test_repr(): this = SortedList(range(10)) this._reset(4) assert repr(this) == 'SortedList([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])' def test_repr_recursion(): this = SortedList([[1], [2], [3], [4]]) this._lists[-1].append(this) assert repr(this) == 'SortedList([[1], [2], [3], [4], ...])' def test_repr_subclass(): class CustomSortedList(SortedList): pass this = CustomSortedList([1, 2, 3, 4]) assert repr(this) == 'CustomSortedList([1, 2, 3, 4])' def test_pickle(): import pickle alpha = SortedList(range(10000)) alpha._reset(500) beta = pickle.loads(pickle.dumps(alpha)) assert alpha == beta assert alpha._load == beta._load def test_build_index(): slt = SortedList([0]) slt._reset(4) slt._build_index() slt._check() def test_check(): slt = SortedList(range(10)) slt._reset(4) slt._len = 5 with pytest.raises(AssertionError): slt._check() python-sortedcontainers-2.1.0/tests/test_coverage_sortedset.py000066400000000000000000000326261337542712000250760ustar00rootroot00000000000000# -*- coding: utf-8 -*- from sys import hexversion import random from .context import sortedcontainers from sortedcontainers import SortedSet import pytest if hexversion < 0x03000000: range = xrange def negate(value): return -value def modulo(value): return value % 10 def test_init(): temp = SortedSet(range(100)) assert temp.key is None temp._reset(7) temp._check() assert all(val == temp[val] for val in temp) def test_init_key(): temp = SortedSet(range(100), key=negate) assert temp.key == negate def test_contains(): temp = SortedSet(range(100)) temp._reset(7) assert all(val in temp for val in range(100)) assert all(val not in temp for val in range(100, 200)) def test_getitem(): temp = SortedSet(range(100)) temp._reset(7) assert all(val == temp[val] for val in temp) def test_getitem_slice(): vals = list(range(100)) temp = SortedSet(vals) temp._reset(7) assert temp[20:30] == vals[20:30] def test_getitem_key(): temp = SortedSet(range(100), key=negate) temp._reset(7) assert all(temp[val] == (99 - val) for val in range(100)) def test_delitem(): temp = SortedSet(range(100)) temp._reset(7) for val in reversed(range(50)): del temp[val] assert all(temp[pos] == (pos + 50) for pos in range(50)) def test_delitem_slice(): vals = list(range(100)) temp = SortedSet(vals) temp._reset(7) del vals[20:40:2] del temp[20:40:2] assert temp == set(vals) def test_delitem_key(): temp = SortedSet(range(100), key=modulo) temp._reset(7) values = sorted(range(100), key=modulo) for val in range(10): del temp[val] del values[val] assert list(temp) == list(values) def test_eq(): alpha = SortedSet(range(100)) alpha._reset(7) beta = SortedSet(range(100)) beta._reset(17) assert alpha == beta assert alpha == beta._set beta.add(101) assert not (alpha == beta) def test_ne(): alpha = SortedSet(range(100)) alpha._reset(7) beta = SortedSet(range(99)) beta._reset(17) assert alpha != beta beta.add(100) assert alpha != beta assert alpha != beta._set assert alpha != list(range(101)) def test_lt_gt(): temp = SortedSet(range(100)) temp._reset(7) that = SortedSet(range(25, 75)) that._reset(9) assert that < temp assert not (temp < that) assert that < temp._set assert temp > that assert not (that > temp) assert temp > that._set def test_le_ge(): alpha = SortedSet(range(100)) alpha._reset(7) beta = SortedSet(range(101)) beta._reset(17) assert alpha <= beta assert not (beta <= alpha) assert alpha <= beta._set assert beta >= alpha assert not (alpha >= beta) assert beta >= alpha._set def test_iter(): temp = SortedSet(range(100)) temp._reset(7) assert all(val == temp[val] for val in iter(temp)) def test_reversed(): temp = SortedSet(range(100)) temp._reset(7) assert all(val == temp[val] for val in reversed(temp)) def test_islice(): ss = SortedSet() ss._reset(7) assert [] == list(ss.islice()) values = list(range(53)) ss.update(values) for start in range(53): for stop in range(53): assert list(ss.islice(start, stop)) == values[start:stop] for start in range(53): for stop in range(53): assert list(ss.islice(start, stop, reverse=True)) == values[start:stop][::-1] for start in range(53): assert list(ss.islice(start=start)) == values[start:] assert list(ss.islice(start=start, reverse=True)) == values[start:][::-1] for stop in range(53): assert list(ss.islice(stop=stop)) == values[:stop] assert list(ss.islice(stop=stop, reverse=True)) == values[:stop][::-1] def test_irange(): ss = SortedSet() ss._reset(7) assert [] == list(ss.irange()) values = list(range(53)) ss.update(values) for start in range(53): for end in range(start, 53): assert list(ss.irange(start, end)) == values[start:(end + 1)] assert list(ss.irange(start, end, reverse=True)) == values[start:(end + 1)][::-1] for start in range(53): for end in range(start, 53): assert list(range(start, end)) == list(ss.irange(start, end, (True, False))) for start in range(53): for end in range(start, 53): assert list(range(start + 1, end + 1)) == list(ss.irange(start, end, (False, True))) for start in range(53): for end in range(start, 53): assert list(range(start + 1, end)) == list(ss.irange(start, end, (False, False))) for start in range(53): assert list(range(start, 53)) == list(ss.irange(start)) for end in range(53): assert list(range(0, end)) == list(ss.irange(None, end, (True, False))) assert values == list(ss.irange(inclusive=(False, False))) assert [] == list(ss.irange(53)) assert values == list(ss.irange(None, 53, (True, False))) def test_irange_key(): values = sorted(range(100), key=modulo) for load in range(5, 16): ss = SortedSet(range(100), key=modulo) ss._reset(load) for start in range(10): for end in range(start, 10): temp = list(ss.irange_key(start, end)) assert temp == values[(start * 10):((end + 1) * 10)] temp = list(ss.irange_key(start, end, reverse=True)) assert temp == values[(start * 10):((end + 1) * 10)][::-1] for start in range(10): for end in range(start, 10): temp = list(ss.irange_key(start, end, inclusive=(True, False))) assert temp == values[(start * 10):(end * 10)] for start in range(10): for end in range(start, 10): temp = list(ss.irange_key(start, end, (False, True))) assert temp == values[((start + 1) * 10):((end + 1) * 10)] for start in range(10): for end in range(start, 10): temp = list(ss.irange_key(start, end, inclusive=(False, False))) assert temp == values[((start + 1) * 10):(end * 10)] for start in range(10): temp = list(ss.irange_key(min_key=start)) assert temp == values[(start * 10):] for end in range(10): temp = list(ss.irange_key(max_key=end)) assert temp == values[:(end + 1) * 10] def test_len(): temp = SortedSet(range(100)) temp._reset(7) assert len(temp) == 100 def test_add(): temp = SortedSet(range(100)) temp._reset(7) temp.add(100) temp.add(90) temp._check() assert all(val == temp[val] for val in range(101)) def test_bisect(): temp = SortedSet(range(100)) temp._reset(7) assert all(temp.bisect_left(val) == val for val in range(100)) assert all(temp.bisect(val) == (val + 1) for val in range(100)) assert all(temp.bisect_right(val) == (val + 1) for val in range(100)) def test_bisect_key(): temp = SortedSet(range(100), key=lambda val: val) temp._reset(7) assert all(temp.bisect_key_left(val) == val for val in range(100)) assert all(temp.bisect_key(val) == (val + 1) for val in range(100)) assert all(temp.bisect_key_right(val) == (val + 1) for val in range(100)) def test_clear(): temp = SortedSet(range(100)) temp._reset(7) temp.clear() temp._check() assert len(temp) == 0 def test_copy(): temp = SortedSet(range(100)) temp._reset(7) that = temp.copy() that.add(1000) assert len(temp) == 100 assert len(that) == 101 def test_copy_copy(): import copy temp = SortedSet(range(100)) temp._reset(7) that = copy.copy(temp) that.add(1000) assert len(temp) == 100 assert len(that) == 101 def test_count(): temp = SortedSet(range(100)) temp._reset(7) assert all(temp.count(val) == 1 for val in range(100)) assert temp.count(100) == 0 assert temp.count(0) == 1 temp.add(0) assert temp.count(0) == 1 temp._check() def test_sub(): temp = SortedSet(range(100)) temp._reset(7) that = temp - range(0, 10) - range(10, 20) assert all(val == temp[val] for val in range(100)) assert all((val + 20) == that[val] for val in range(80)) def test_difference(): temp = SortedSet(range(100)) temp._reset(7) that = temp.difference(range(0, 10), range(10, 20)) assert all(val == temp[val] for val in range(100)) assert all((val + 20) == that[val] for val in range(80)) def test_difference_update(): temp = SortedSet(range(100)) temp._reset(7) temp.difference_update(range(0, 10), range(10, 20)) assert all((val + 20) == temp[val] for val in range(80)) def test_isub(): temp = SortedSet(range(100)) temp._reset(7) temp -= range(0, 10) temp -= range(10, 20) assert all((val + 20) == temp[val] for val in range(80)) def test_discard(): temp = SortedSet(range(100)) temp._reset(7) temp.discard(0) temp.discard(99) temp.discard(50) temp.discard(1000) temp._check() assert len(temp) == 97 def test_index(): temp = SortedSet(range(100)) temp._reset(7) assert all(temp.index(val) == val for val in range(100)) def test_and(): temp = SortedSet(range(100)) temp._reset(7) that = temp & range(20) & range(10, 30) assert all(that[val] == (val + 10) for val in range(10)) assert all(temp[val] == val for val in range(100)) def test_intersection(): temp = SortedSet(range(100)) temp._reset(7) that = temp.intersection(range(0, 20), range(10, 30)) assert all(that[val] == (val + 10) for val in range(10)) assert all(temp[val] == val for val in range(100)) def test_intersection_update(): temp = SortedSet(range(100)) temp._reset(7) temp &= range(0, 20) temp &= range(10, 30) assert all(temp[val] == (val + 10) for val in range(10)) def test_isdisjoint(): temp = SortedSet(range(100)) temp._reset(7) that = SortedSet(range(100, 200)) that._reset(9) assert temp.isdisjoint(that) def test_issubset(): temp = SortedSet(range(100)) temp._reset(7) that = SortedSet(range(25, 75)) that._reset(9) assert that.issubset(temp) def test_issuperset(): temp = SortedSet(range(100)) temp._reset(7) that = SortedSet(range(25, 75)) that._reset(9) assert temp.issuperset(that) def test_xor(): temp = SortedSet(range(0, 75)) temp._reset(7) that = SortedSet(range(25, 100)) that._reset(9) result = temp ^ that assert all(result[val] == val for val in range(25)) assert all(result[val + 25] == (val + 75) for val in range(25)) assert all(temp[val] == val for val in range(75)) assert all(that[val] == (val + 25) for val in range(75)) def test_symmetric_difference(): temp = SortedSet(range(0, 75)) temp._reset(7) that = SortedSet(range(25, 100)) that._reset(9) result = temp.symmetric_difference(that) assert all(result[val] == val for val in range(25)) assert all(result[val + 25] == (val + 75) for val in range(25)) assert all(temp[val] == val for val in range(75)) assert all(that[val] == (val + 25) for val in range(75)) def test_symmetric_difference_update(): temp = SortedSet(range(0, 75)) temp._reset(7) that = SortedSet(range(25, 100)) that._reset(9) temp ^= that assert all(temp[val] == val for val in range(25)) assert all(temp[val + 25] == (val + 75) for val in range(25)) def test_pop(): temp = SortedSet(range(0, 100)) temp._reset(7) temp.pop() temp.pop(0) assert all(temp[val] == (val + 1) for val in range(98)) def test_remove(): temp = SortedSet(range(0, 100)) temp._reset(7) temp.remove(50) def test_or(): temp = SortedSet(range(0, 50)) temp._reset(7) that = SortedSet(range(50, 100)) that._reset(9) result = temp | that assert all(result[val] == val for val in range(100)) assert all(temp[val] == val for val in range(50)) assert all(that[val] == (val + 50) for val in range(50)) def test_union(): temp = SortedSet(range(0, 50)) temp._reset(7) that = SortedSet(range(50, 100)) that._reset(9) result = temp.union(that) assert all(result[val] == val for val in range(100)) assert all(temp[val] == val for val in range(50)) assert all(that[val] == (val + 50) for val in range(50)) def test_update(): temp = SortedSet(range(0, 80)) temp._reset(7) temp.update(range(80, 90), range(90, 100)) assert all(temp[val] == val for val in range(100)) def test_ior(): temp = SortedSet(range(0, 80)) temp._reset(7) temp |= range(80, 90) temp |= range(90, 100) assert all(temp[val] == val for val in range(100)) class Identity(object): def __call__(self, value): return value def __repr__(self): return 'identity' def test_repr(): temp = SortedSet(range(0, 10), key=Identity()) temp._reset(7) assert repr(temp) == 'SortedSet([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], key=identity)' def test_repr_recursion(): class HashableSortedSet(SortedSet): def __hash__(self): return hash(tuple(self)) temp = HashableSortedSet([HashableSortedSet([1]), HashableSortedSet([1, 2])]) temp.add(temp) assert repr(temp) == 'HashableSortedSet([HashableSortedSet([1]), HashableSortedSet([1, 2]), ...])' def test_pickle(): import pickle alpha = SortedSet(range(10000), key=negate) alpha._reset(500) beta = pickle.loads(pickle.dumps(alpha)) assert alpha == beta assert alpha._key == beta._key python-sortedcontainers-2.1.0/tests/test_stress_sorteddict.py000066400000000000000000000105621337542712000247510ustar00rootroot00000000000000# -*- coding: utf-8 -*- from __future__ import print_function from sys import hexversion import random from .context import sortedcontainers from sortedcontainers import SortedDict from functools import wraps if hexversion < 0x03000000: from itertools import izip as zip range = xrange random.seed(0) actions = [] def actor(func): actions.append(func) return func def test_init(): sdict = SortedDict() sdict._check() sdict = SortedDict() sdict._reset(17) sdict._check() sdict = SortedDict((val, -val) for val in range(10000)) sdict._check() assert all(key == -val for key, val in sdict.items()) sdict.clear() sdict._check() assert len(sdict) == 0 sdict = SortedDict.fromkeys(range(1000), None) assert all(sdict[key] == None for key in range(1000)) @actor def stress_contains(sdict): keys = list(sdict) assert all((key in sdict for key in keys)) @actor def stress_delitem(sdict): keys = list(sdict) for rpt in range(100): pos = random.randrange(0, len(sdict)) del sdict[keys[pos]] del keys[pos] @actor def stress_getitem(sdict): items = list(sdict.items()) assert all(sdict[key] == value for key, value in items) @actor def stress_eq(sdict): that = dict((key, value) for key, value in sdict.items()) assert sdict == that @actor def stress_setitem_len(sdict): start_len = len(sdict) keys = list(range(100)) missing = sum(1 for val in keys if val not in sdict) for val in keys: sdict[val] = -val end_len = len(sdict) assert (start_len + missing) == end_len @actor def stress_copy(sdict): that = sdict.copy() @actor def stress_get(sdict): keys = list(range(100)) for key in keys: if key in sdict: assert sdict.get(key, 1) == -key else: assert sdict.get(key, 1) == 1 @actor def stress_has_key(sdict): if hexversion > 0x03000000: return keys = list(range(100)) for key in keys: assert all((key in sdict) == (sdict.has_key(key)) for key in sdict) @actor def stress_items_keys_values(sdict): items = sdict.items() keys = sdict.keys() values = sdict.values() assert list(items) == list(zip(keys, values)) @actor def stress_iter_items_keys_values(sdict): it = zip(sdict.items(), sdict.keys(), sdict.values()) assert all(tup[0] == (tup[1], tup[2]) for tup in it) @actor def stress_pop(sdict): keys = list(range(200)) for key in keys: if key in sdict: val = sdict[key] assert sdict.pop(key, 1) == val else: assert sdict.pop(key, 1) == 1 @actor def stress_popitem(sdict): items = [sdict.popitem() for rpt in range(100)] keys = [item[0] for item in items] assert all(keys[pos - 1] > keys[pos] for pos in range(1, len(keys))) assert all(key == -value for key, value in items) @actor def stress_setdefault(sdict): keys = list(range(200)) for key in keys: if key in sdict: assert sdict.setdefault(key) == -key else: sdict.setdefault(key) assert sdict[key] == None del sdict[key] def test_stress(repeat=1000): sdict = SortedDict((val, -val) for val in range(1000)) for rpt in range(repeat): action = random.choice(actions) action(sdict) try: sdict._check() except AssertionError: print(action) raise start_len = len(sdict) while len(sdict) < 500: key = random.randrange(0, 2000) sdict[key] = -key while len(sdict) > 2000: key = random.randrange(0, 2000) if key in sdict: del sdict[key] if start_len != len(sdict): sdict._check() if __name__ == '__main__': import sys from datetime import datetime start = datetime.now() print('Python', sys.version_info) try: num = int(sys.argv[1]) print('Setting iterations to', num) except: print('Setting iterations to 1000 (default)') num = 1000 try: pea = int(sys.argv[2]) random.seed(pea) print('Setting seed to', pea) except: print('Setting seed to 0 (default)') random.seed(0) try: test_stress(num) except: raise finally: print('Exiting after', (datetime.now() - start)) python-sortedcontainers-2.1.0/tests/test_stress_sortedkeylist.py000066400000000000000000000146251337542712000255160ustar00rootroot00000000000000# -*- coding: utf-8 -*- from __future__ import print_function from sys import hexversion import copy import bisect import random from .context import sortedcontainers from sortedcontainers import SortedKeyList from functools import wraps if hexversion < 0x03000000: from itertools import izip as zip range = xrange random.seed(0) actions = [] def frange(start, stop, step): while start < stop: yield start start += step class actor: def __init__(self, count): self._count = count def __call__(self, func): actions.extend([func] * self._count) return func def not_empty(func): @wraps(func) def wrapper(slt): if len(slt) < 100: stress_update(slt) func(slt) return wrapper @actor(1) def stress_clear(slt): if random.randrange(100) < 10: slt.clear() else: values = list(slt) slt.clear() slt.update(values[:int(len(values) / 2)]) @actor(1) def stress_add(slt): if random.randrange(100) < 10: slt.clear() slt.add(random.random()) @actor(1) def stress_update(slt): slt.update((random.random() for rpt in range(350))) @actor(1) @not_empty def stress_contains(slt): if random.randrange(100) < 10: slt.clear() assert 0 not in slt else: val = slt[random.randrange(len(slt))] assert val in slt assert 1 not in slt @actor(1) @not_empty def stress_discard(slt): val = slt[random.randrange(len(slt))] slt.discard(val) @actor(1) def stress_discard2(slt): if random.randrange(100) < 10: slt.clear() slt.discard(random.random()) @actor(1) def stress_remove(slt): if len(slt) > 0: val = slt[random.randrange(len(slt))] slt.remove(val) try: slt.remove(1) assert False except ValueError: pass try: slt.remove(-1) assert False except ValueError: pass @actor(1) @not_empty def stress_delitem(slt): del slt[random.randrange(len(slt))] @actor(1) def stress_getitem(slt): if len(slt) > 0: pos = random.randrange(len(slt)) assert slt[pos] == list(slt)[pos] try: slt[-(slt._len + 5)] assert False except IndexError: pass try: slt[slt._len + 5] assert False except IndexError: pass else: try: slt[0] assert False except IndexError: pass @actor(1) @not_empty def stress_delitem_slice(slt): start, stop = sorted(random.randrange(len(slt)) for rpt in range(2)) step = random.choice([-3, -2, -1, 1, 1, 1, 1, 1, 2, 3]) del slt[start:stop:step] @actor(1) def stress_iter(slt): itr1 = iter(slt) itr2 = (slt[pos] for pos in range(len(slt))) assert all(tup[0] == tup[1] for tup in zip(itr1, itr2)) @actor(1) def stress_reversed(slt): itr = reversed(list(reversed(slt))) assert all(tup[0] == tup[1] for tup in zip(slt, itr)) @actor(1) def stress_bisect_left(slt): values = list(slt) value = random.random() values.sort() assert bisect.bisect_left(values, value) == slt.bisect_left(value) @actor(1) def stress_bisect(slt): values = list(slt) value = random.random() values.sort() assert bisect.bisect(values, value) == slt.bisect(value) @actor(1) def stress_bisect_right(slt): values = list(slt) value = random.random() values.sort() assert bisect.bisect_right(values, value) == slt.bisect_right(value) @actor(1) @not_empty def stress_dups(slt): pos = min(random.randrange(len(slt)), 300) val = slt[pos] for rpt in range(pos): slt.add(val) @actor(1) @not_empty def stress_count(slt): values = list(slt) val = slt[random.randrange(len(slt))] assert slt.count(val) == values.count(val) @actor(1) @not_empty def stress_pop(slt): pos = random.randrange(len(slt)) + 1 assert slt[-pos] == slt.pop(-pos) @actor(1) @not_empty def stress_index(slt): values = set(slt) slt.clear() slt.update(values) pos = random.randrange(len(slt)) assert slt.index(slt[pos]) == pos @actor(1) @not_empty def stress_index2(slt): values = list(slt)[:3] * 200 slt = SortedKeyList(values) for idx, val in enumerate(slt): assert slt.index(val, idx) == idx @actor(1) def stress_mul(slt): values = list(slt) mult = random.randrange(10) values *= mult values.sort() assert (slt * mult) == values @actor(1) def stress_imul(slt): mult = random.randrange(10) slt *= mult @actor(1) @not_empty def stress_reversed(slt): itr = reversed(slt) pos = random.randrange(1, len(slt)) for rpt in range(pos): val = next(itr) assert val == slt[-pos] @actor(1) @not_empty def stress_eq(slt): values = [] assert not (values == slt) @actor(1) @not_empty def stress_lt(slt): values = list(slt) assert not (values < slt) values = SortedKeyList(value - 1 for value in values) assert values < slt values = [] assert values < slt assert not (slt < values) def test_stress(repeat=1000): slt = SortedKeyList((random.random() for rpt in range(1000))) for rpt in range(repeat): action = random.choice(actions) action(slt) slt._check() while len(slt) > 2000: # Shorten the sortedlist. This maintains the "jaggedness" # of the sublists which helps coverage. pos = random.randrange(len(slt._maxes)) del slt._maxes[pos] del slt._keys[pos] del slt._lists[pos] slt._len = sum(len(sublist) for sublist in slt._lists) slt._index = [] slt._check() slt._check() stress_update(slt) while len(slt) > 0: pos = random.randrange(len(slt)) del slt[pos] slt._check() if __name__ == '__main__': import sys from datetime import datetime start = datetime.now() print('Python', sys.version_info) try: num = int(sys.argv[1]) print('Setting iterations to', num) except: print('Setting iterations to 1000 (default)') num = 1000 try: pea = int(sys.argv[2]) random.seed(pea) print('Setting seed to', pea) except: print('Setting seed to 0 (default)') random.seed(0) try: test_stress(num) except: raise finally: print('Exiting after', (datetime.now() - start)) python-sortedcontainers-2.1.0/tests/test_stress_sortedlist.py000066400000000000000000000164601337542712000250040ustar00rootroot00000000000000# -*- coding: utf-8 -*- from __future__ import print_function from sys import hexversion import copy import bisect import random from .context import sortedcontainers from sortedcontainers import SortedList from functools import wraps if hexversion < 0x03000000: from itertools import izip as zip range = xrange random.seed(0) actions = [] def frange(start, stop, step): while start < stop: yield start start += step class actor: def __init__(self, count): self._count = count def __call__(self, func): actions.extend([func] * self._count) return func def not_empty(func): @wraps(func) def wrapper(slt): if len(slt) < 100: stress_update(slt) func(slt) return wrapper @actor(1) def stress_clear(slt): if random.randrange(100) < 10: slt.clear() else: values = list(slt) slt.clear() slt.update(values[:int(len(values) / 2)]) @actor(1) def stress_add(slt): if random.randrange(100) < 10: slt.clear() slt.add(random.random()) @actor(1) def stress_update(slt): slt.update((random.random() for rpt in range(350))) @actor(1) @not_empty def stress_contains(slt): if random.randrange(100) < 10: slt.clear() assert 0 not in slt else: val = slt[random.randrange(len(slt))] assert val in slt assert 1 not in slt @actor(1) @not_empty def stress_discard(slt): val = slt[random.randrange(len(slt))] slt.discard(val) @actor(1) def stress_discard2(slt): if random.randrange(100) < 10: slt.clear() slt.discard(random.random()) @actor(1) def stress_remove(slt): if len(slt) > 0: val = slt[random.randrange(len(slt))] slt.remove(val) try: slt.remove(1) assert False except ValueError: pass try: slt.remove(-1) assert False except ValueError: pass @actor(1) @not_empty def stress_delitem(slt): del slt[random.randrange(len(slt))] @actor(1) def stress_getitem(slt): if len(slt) > 0: pos = random.randrange(len(slt)) assert slt[pos] == list(slt)[pos] try: slt[-(slt._len + 5)] assert False except IndexError: pass try: slt[slt._len + 5] assert False except IndexError: pass else: try: slt[0] assert False except IndexError: pass @actor(1) @not_empty def stress_delitem_slice(slt): start, stop = sorted(random.randrange(len(slt)) for rpt in range(2)) step = random.choice([-3, -2, -1, 1, 1, 1, 1, 1, 2, 3]) del slt[start:stop:step] @actor(1) def stress_iter(slt): itr1 = iter(slt) itr2 = (slt[pos] for pos in range(len(slt))) assert all(tup[0] == tup[1] for tup in zip(itr1, itr2)) @actor(1) def stress_reversed(slt): itr = reversed(list(reversed(slt))) assert all(tup[0] == tup[1] for tup in zip(slt, itr)) @actor(1) def stress_islice(slt): if len(slt) < 10: return start = random.randrange(len(slt) - 5) stop = random.randrange(start, len(slt)) itr = slt.islice(start, stop) assert all(slt[pos] == next(itr) for pos in range(start, stop)) @actor(1) def stress_irange(slt): values = sorted(set(slt)) slt.clear() slt.update(values) if len(slt) < 10: return start = random.randrange(len(slt) - 5) stop = random.randrange(start, len(slt)) itr = slt.irange(slt[start], slt[stop], inclusive=(True, False)) assert all(slt[pos] == next(itr) for pos in range(start, stop)) @actor(1) def stress_bisect_left(slt): values = list(slt) value = random.random() values.sort() assert bisect.bisect_left(values, value) == slt.bisect_left(value) @actor(1) def stress_bisect(slt): values = list(slt) value = random.random() values.sort() assert bisect.bisect(values, value) == slt.bisect(value) @actor(1) def stress_bisect_right(slt): values = list(slt) value = random.random() values.sort() assert bisect.bisect_right(values, value) == slt.bisect_right(value) @actor(1) @not_empty def stress_dups(slt): pos = min(random.randrange(len(slt)), 300) val = slt[pos] for rpt in range(pos): slt.add(val) @actor(1) @not_empty def stress_count(slt): values = list(slt) val = slt[random.randrange(len(slt))] assert slt.count(val) == values.count(val) @actor(1) @not_empty def stress_pop(slt): pos = random.randrange(len(slt)) + 1 assert slt[-pos] == slt.pop(-pos) @actor(1) @not_empty def stress_index(slt): values = set(slt) slt.clear() slt.update(values) pos = random.randrange(len(slt)) assert slt.index(slt[pos]) == pos @actor(1) @not_empty def stress_index2(slt): values = list(slt)[:3] * 200 slt = SortedList(values) for idx, val in enumerate(slt): assert slt.index(val, idx) == idx @actor(1) def stress_mul(slt): values = list(slt) mult = random.randrange(10) values *= mult values.sort() assert (slt * mult) == values @actor(1) def stress_imul(slt): mult = random.randrange(10) slt *= mult @actor(1) @not_empty def stress_reversed(slt): itr = reversed(slt) pos = random.randrange(1, len(slt)) for rpt in range(pos): val = next(itr) assert val == slt[-pos] @actor(1) @not_empty def stress_eq(slt): values = [] assert not (values == slt) @actor(1) @not_empty def stress_lt(slt): values = list(slt) assert not (values < slt) values = SortedList(value - 1 for value in values) assert values < slt values = [] assert values < slt assert not (slt < values) def test_stress(repeat=1000): slt = SortedList((random.random() for rpt in range(1000))) slt._reset(23) for rpt in range(repeat): action = random.choice(actions) action(slt) slt._check() fourth = int(len(slt) / 4) count = 0 if fourth == 0 else random.randrange(-fourth, fourth) while count > 0: slt.add(random.random()) count -= 1 while count < 0: pos = random.randrange(len(slt)) del slt[pos] count += 1 while len(slt) > 2000: # Shorten the sortedlist. This maintains the "jaggedness" # of the sublists which helps coverage. pos = random.randrange(len(slt._maxes)) del slt._maxes[pos] del slt._lists[pos] slt._len = sum(len(sublist) for sublist in slt._lists) slt._index = [] slt._check() slt._check() slt._check() stress_update(slt) while len(slt) > 0: pos = random.randrange(len(slt)) del slt[pos] slt._check() if __name__ == '__main__': import sys from datetime import datetime start = datetime.now() print('Python', sys.version_info) try: num = int(sys.argv[1]) print('Setting iterations to', num) except: print('Setting iterations to 1000 (default)') num = 1000 try: pea = int(sys.argv[2]) random.seed(pea) print('Setting seed to', pea) except: print('Setting seed to 0 (default)') random.seed(0) try: test_stress(num) except: raise finally: print('Exiting after', (datetime.now() - start)) python-sortedcontainers-2.1.0/tests/test_stress_sortedset.py000066400000000000000000000107511337542712000246210ustar00rootroot00000000000000# -*- coding: utf-8 -*- from __future__ import print_function from sys import hexversion import random from .context import sortedcontainers from sortedcontainers import SortedSet from functools import wraps import operator if hexversion < 0x03000000: from itertools import izip as zip range = xrange random.seed(0) actions = [] def actor(func): actions.append(func) return func def test_init(): sst = SortedSet() sst._check() sst = SortedSet() sst._reset(10000) assert sst._list._load == 10000 sst._check() sst = SortedSet(range(10000)) assert all(tup[0] == tup[1] for tup in zip(sst, range(10000))) sst.clear() assert len(sst) == 0 assert list(iter(sst)) == [] sst._check() @actor def stress_contains(sst): values = list(sst) assert all((val in sst) for val in values) @actor def stress_delitem(sst): for rpt in range(100): pos = random.randrange(0, len(sst)) del sst[pos] @actor def stress_operator(sst): other = SortedSet(sst) stress_delitem(other) assert other < sst assert sst > other @actor def stress_getitem(sst): other = list(sst) assert all(sst[pos] == other[pos] for pos in range(len(sst))) @actor def stress_reversed(sst): other = list(reversed(list(sst))) assert all(tup[0] == tup[1] for tup in zip(reversed(sst), other)) @actor def stress_add(sst): for rpt in range(100): val = random.randrange(0, 1000) sst.add(val) @actor def stress_count(sst): for val in sst: assert sst.count(val) == 1 @actor def stress_difference(sst): copy_one = sst.copy() stress_delitem(copy_one) copy_two = sst.copy() stress_delitem(copy_two) sst.difference_update(copy_one, copy_two) @actor def stress_discard(sst): for rpt in range(100): pos = random.randrange(0, len(sst)) val = sst[pos] sst.discard(val) @actor def stress_index(sst): for rpt in range(100): pos = random.randrange(0, len(sst)) val = sst[pos] assert pos == sst.index(val) @actor def stress_intersection(sst): copy_one = sst.copy() stress_delitem(copy_one) copy_two = sst.copy() stress_delitem(copy_two) sst.intersection_update(copy_one, copy_two) @actor def stress_symmetric_difference(sst): copy_one = sst.copy() stress_delitem(copy_one) sst.symmetric_difference_update(copy_one) @actor def stress_pop(sst): val = sst[-1] assert val == sst.pop() for rpt in range(100): pos = random.randrange(0, len(sst)) val = sst[pos] assert val == sst.pop(pos) @actor def stress_remove(sst): for rpt in range(100): pos = random.randrange(0, len(sst)) val = sst[pos] sst.remove(val) @actor def stress_update(sst): def iter_randomly(start, stop, count): for rpt in range(count): yield random.randrange(start, stop) sst.update(iter_randomly(0, 500, 100), iter_randomly(500, 1000, 100), iter_randomly(1000, 1500, 100), iter_randomly(1500, 2000, 100)) @actor def stress_isdisjoint(sst): values = [-1, -2, -3] assert sst.isdisjoint(values) @actor def stress_issubset(sst): that = SortedSet(sst) that.update(range(1000)) assert sst.issubset(that) @actor def stress_issuperset(sst): that = SortedSet(sst) assert sst.issuperset(that) def test_stress(repeat=1000): sst = SortedSet(range(1000)) for rpt in range(repeat): action = random.choice(actions) action(sst) try: sst._check() except AssertionError: print(action) raise start_len = len(sst) while len(sst) < 500: sst.add(random.randrange(0, 2000)) while len(sst) > 2000: del sst[random.randrange(0, len(sst))] if start_len != len(sst): sst._check() if __name__ == '__main__': import sys from datetime import datetime start = datetime.now() print('Python', sys.version_info) try: num = int(sys.argv[1]) print('Setting iterations to', num) except: print('Setting iterations to 1000 (default)') num = 1000 try: pea = int(sys.argv[2]) random.seed(pea) print('Setting seed to', pea) except: print('Setting seed to 0 (default)') random.seed(0) try: test_stress(num) except: raise finally: print('Exiting after', (datetime.now() - start)) python-sortedcontainers-2.1.0/tox.ini000066400000000000000000000011311337542712000177320ustar00rootroot00000000000000[tox] envlist=py27,py34,py35,py36,py37,pypy,pypy3,lint skip_missing_interpreters=True [testenv] deps=pytest commands=python -m pytest [pytest] addopts= --doctest-modules --doctest-glob "*.rst" --ignore tests/benchmark.py --ignore tests/benchmark_plot.py --ignore tests/benchmark_sorteddict.py --ignore tests/benchmark_sortedlist.py --ignore tests/benchmark_sortedset.py --ignore tests/plot_lengths_histogram_add.py --ignore tests/plot_lengths_histogram_delitem.py testpaths=docs sortedcontainers tests [testenv:lint] deps=pylint commands=pylint sortedcontainers

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