Geo-Coordinates-OSGB-2.06/000755 000000 000024 00000000000 12223520206 015251 5ustar00rootstaff000000 000000 Geo-Coordinates-OSGB-2.06/bng_to_ll.pl000644 000765 000024 00000001415 11276255430 017575 0ustar00tobystaff000000 000000 #! /usr/bin/perl -w # Toby Thurston --- 6 May 2009 # Parse a National Grid ref and show it as LL coordinates use strict; use warnings; use Geo::Coordinates::OSGB qw/ parse_grid grid_to_ll shift_ll_into_WGS84 format_ll_trad format_ll_ISO format_grid_landranger/; my $gr = "@ARGV"; my ($e, $n) = parse_grid($gr); my ($lat, $lon) = grid_to_ll($e, $n); my ($gla, $glo, undef) = shift_ll_into_WGS84($lat, $lon); print "Your input: $gr\n"; printf "is %s\n", scalar format_grid_landranger($e, $n); printf "and %s on that sheet\n", scalar format_ll_trad($lat, $lon); printf "but %s in WGS84 terms\n", scalar format_ll_trad($gla, $glo); printf "or in ISO form %s.\n", scalar format_ll_ISO($gla, $glo); Geo-Coordinates-OSGB-2.06/Changes000644 000765 000024 00000007317 12223513140 016567 0ustar00tobystaff000000 000000 Revision history for Perl extension Geo::Coordinates::OSGB 2.06 October 2013 - removed precise URL for theory paper - the OS keep moving it about, so just Google for the name - removed non-ascii characters from POD in OSGB.pm to avoid encoding issue 2.05 31 August 2013 - Put blank lines back in OSTN02 to prevent pod2html taking an age during install - Refactored OSGB and OSTN02 lightly to conform more closely to "Perl Best Practices" - corrected corner coordinate data for Landranger sheets 1 and 185 2.04 6 November 2008 - Rework search of OSTN02 data to improve performance and reliability - Add range checking of OSTN02 coordinates - Compress OSTN02 data to hexadecimal form to speed up loading - Change selection of data in 03random.t test to avoid off-the-sheet errors - Minor tidy up changes in OSGB - Complete overhaul of the documentation - removed old "coco.pl" example script - added new example script to show all "000 000" grid references 2.03 Not released 2.02 22 September 2008 - Removed irritating degree sign from verbose test message (no functional change) - Make parse_landranger_grid behave better in scalar context - Improve useability of parse_grid - Correct GR of SW corner of Landranger Sheet 3 - Further optimize handling of OSTN02 data to prevent data parsing at pod2man time - Improve documentation - More example scripts (with notes) 2.01 6 September 2007 - Optimized handling of OSTN02 data to reduce memory requirements *and* speed it up. 2.00 4 September 2007 - New version with routines to do adjustment to and from latitude and longitude coordinates based on the (now ubiquitous) WGS84 model, for more compatible use with GPS receivers and Google Earth and similar tools. - Includes not only fast approximate adjustment as used in most coordinate tools and devices, but also the definitive-but-slow OSTN02 transformation based on OSGB data - Step version number - POD completely revised 1.07 7 September 2005 - corrected link in POD - various minor documentation corrections 1.06 16 May 2005 - general clean up - made the format and parse routines external to avoid spaghetti connections - added support for grid references in GPS format (eg TQ 32342 24312) 1.05 29 March 2005 - Not released 1.04 29 September 2004 - corrected a bug in grid2ll, where long/lat values with 0 degrees were always printed as positive in scalar form The problem was that -1 * 0 = +0 in Perl (as it says in the Camel book somewhere). - added simple coco.pl script to provide command line coordinate conversions. - actually implemented the long-promised map2ll and ll2map functions as well as map2grid and grid2map for completeness. With these functions you can convert to and from coordinates in a more useable form, such as "OS Sheet 43; 875123". - added a demonstration script --- plotmaps.pl --- which will produce a pretty index of the Landranger maps, showing the GB coast line and the large grid squares. The output is in PostScript. Use GhostScript to process it. A PDF version of the output is also included. - added a useful file with all the names and other details of the Landranger Sheets 1.03 18 December 2002 - changed name for CPAN release - improved ll2grid function - new ll2map and map2ll functions 1.02 November 13, 2002 - No changes to code, just tidied the documentation 0.01 Fri Mar 2 19:05:50 2001 - original version; created by h2xs 1.19 Geo-Coordinates-OSGB-2.06/gb-coastline.dat000644 000765 000024 00003704274 10126464734 020364 0ustar00tobystaff000000 000000 -1.845751 49.499999 -1.848133 49.502380 -1.850479 49.505314 -1.854000 49.507660 -1.857227 49.510301 -1.861334 49.512354 -1.866027 49.513528 -1.870721 49.515288 -1.874241 49.517635 -1.877761 49.519981 -1.880108 49.522915 -1.882748 49.525848 -1.884509 49.529075 -1.885095 49.533182 -1.883922 49.537289 -1.881575 49.540223 -1.878348 49.543156 -1.874828 49.545210 -1.871014 49.547263 -1.866614 49.549023 -1.863094 49.551077 -1.859867 49.554010 -1.857520 49.556944 -1.855173 49.559878 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0.735733 51.527699 0.728692 51.528579 0.721945 51.528872 0.715198 51.529166 0.708744 51.529459 0.701410 51.530046 0.694076 51.530926 0.687916 51.531806 0.680582 51.532686 0.674128 51.533859 0.667675 51.535033 0.661514 51.536206 0.655060 51.537086 0.648900 51.537086 0.644793 51.535033 0.643033 51.531219 0.642739 51.527699 0.642446 51.523592 0.638926 51.521245 0.634819 51.519485 0.629245 51.518605 0.623085 51.518311 0.616338 51.518605 0.609297 51.519192 0.602550 51.519485 0.596683 51.519192 0.591696 51.517725 0.587589 51.516258 0.583775 51.513618 0.580255 51.510978 0.576148 51.509511 0.571161 51.508044 0.565587 51.509511 0.561774 51.511564 0.558840 51.514498 0.553266 51.515965 0.547693 51.515085 0.542119 51.514204 0.537425 51.512738 0.532732 51.511271 0.527158 51.510684 0.521877 51.509804 0.515717 51.509511 0.510143 51.508631 0.504863 51.507751 0.498996 51.507457 0.492835 51.507164 0.487555 51.506284 0.481981 51.505697 0.476701 51.504817 0.470540 51.504524 0.464967 51.503644 0.460273 51.502177 0.456166 51.500417 0.452059 51.498363 0.448832 51.495430 0.446485 51.491910 0.446192 51.487803 0.445899 51.483989 0.445312 51.479589 0.444139 51.475188 0.441205 51.472255 0.438858 51.469028 0.435338 51.466388 0.431524 51.463748 0.427417 51.461987 0.422430 51.460521 0.417737 51.459347 0.412163 51.458467 0.407469 51.457294 0.401896 51.456414 0.397202 51.454947 0.391921 51.454067 0.386348 51.453480 0.382827 51.450840 0.386641 51.448493 0.393095 51.447613 0.399255 51.447906 0.405709 51.447613 0.412456 51.447320 0.417737 51.448200 0.423310 51.449080 0.428591 51.449960 0.433284 51.450253 0.438565 51.451133 0.444139 51.452013 0.448246 51.453773 0.452646 51.455827 0.456166 51.458174 0.459100 51.461107 0.461446 51.464334 0.463793 51.468148 0.466433 51.471375 0.468194 51.475482 0.471127 51.478415 0.474647 51.480762 0.478754 51.482816 0.484035 51.484282 0.489022 51.484869 0.495182 51.485162 0.501929 51.484869 0.508677 51.484869 0.513957 51.485456 0.519531 51.486336 0.525398 51.486629 0.530971 51.487509 0.536252 51.488389 0.542119 51.488683 0.548866 51.488683 0.556200 51.487803 0.561774 51.486042 0.567347 51.484869 0.573214 51.484869 0.578202 51.486336 0.583189 51.487803 0.588469 51.488683 0.595509 51.487803 0.601963 51.486629 0.606657 51.484869 0.610470 51.482522 0.615164 51.480469 0.620738 51.479295 0.627192 51.478122 0.633939 51.477829 0.640686 51.477535 0.646260 51.477829 0.653007 51.477829 0.660341 51.476948 0.665914 51.475188 0.671488 51.474015 0.677649 51.472842 0.683809 51.473135 0.691143 51.472255 0.697597 51.471081 0.702290 51.469028 0.707864 51.467855 0.711678 51.465508 0.716371 51.463748 0.720185 51.461401 0.723412 51.458761 0.725172 51.455827 0.726639 51.452600 0.727226 51.448493 0.725172 51.444680 0.723119 51.441159 0.719305 51.438812 0.714318 51.437639 0.709038 51.436759 0.703170 51.436466 0.697010 51.436172 0.690850 51.435879 0.684396 51.435879 0.677942 51.437346 0.671782 51.438226 0.666208 51.439692 0.659461 51.439986 0.652127 51.440866 0.645086 51.441453 0.640099 51.439986 0.637752 51.436759 0.635406 51.433239 0.629245 51.432652 0.625138 51.431185 0.621911 51.427958 0.618978 51.425318 0.615164 51.422678 0.611644 51.420331 0.606950 51.418864 0.602843 51.417104 0.598150 51.415931 0.592576 51.415051 0.587002 51.414171 0.581135 51.413877 0.574975 51.413584 0.568814 51.413291 0.562947 51.412704 0.557960 51.411530 0.556787 51.408304 0.558840 51.405663 0.561774 51.402730 0.564707 51.400383 0.568521 51.398036 0.572628 51.395689 0.575561 51.393049 0.578495 51.390702 0.582602 51.388062 0.588176 51.386595 0.593749 51.386889 0.600203 51.385715 0.604897 51.383955 0.608124 51.381315 0.611937 51.379261 0.617218 51.380142 0.619858 51.383368 0.622791 51.386302 0.626312 51.388649 0.632472 51.388942 0.638046 51.388355 0.644206 51.388649 0.647726 51.390996 0.653300 51.391876 0.659754 51.391582 0.663568 51.389529 0.666795 51.386889 0.669728 51.384249 0.672075 51.381022 0.677355 51.379848 0.681756 51.381608 0.685276 51.383955 0.690556 51.384835 0.696717 51.385129 0.701410 51.386302 0.706397 51.387769 0.709918 51.390409 0.712264 51.393636 0.711971 51.397449 0.709624 51.400383 0.706691 51.403023 0.704344 51.406250 0.703464 51.409477 0.704344 51.413877 0.706104 51.417691 0.708158 51.422091 0.711678 51.424145 0.717838 51.424731 0.722532 51.422678 0.725172 51.420038 0.726639 51.416811 0.727226 51.412997 0.728692 51.409477 0.734266 51.408010 0.736906 51.410944 0.739546 51.414464 0.741307 51.418278 0.740720 51.422091 0.740133 51.425905 0.740720 51.430012 0.744533 51.432359 0.746587 51.435879 0.747174 51.439986 0.748934 51.443799 0.754507 51.444680 0.760375 51.444973 0.766535 51.443799 0.771522 51.442333 0.777682 51.440866 0.783843 51.441453 0.791177 51.440573 0.796751 51.438812 0.801444 51.437346 0.806138 51.435292 0.812592 51.434119 0.818752 51.432945 0.825206 51.431772 0.831660 51.430598 0.838113 51.429425 0.844567 51.428252 0.851608 51.427372 0.858062 51.426492 0.863635 51.425025 0.870969 51.424145 0.878010 51.423265 0.885344 51.422678 0.892384 51.422091 0.898838 51.420918 0.904118 51.419158 0.908812 51.417104 0.912039 51.414757 0.914092 51.411530 0.916439 51.408597 0.918199 51.405663 0.922306 51.403317 0.927000 51.401263 0.930813 51.399210 0.933747 51.396569 0.936681 51.393929 0.939027 51.390702 0.941081 51.388062 0.944308 51.385422 0.945188 51.381902 0.947535 51.378968 0.948121 51.375155 0.946948 51.371634 0.942841 51.369581 0.936681 51.369581 0.929347 51.370167 0.925240 51.368407 0.921133 51.366354 0.917613 51.364300 0.913799 51.361660 0.909399 51.359607 0.904705 51.358433 0.899425 51.357553 0.892677 51.357847 0.885637 51.358727 0.880063 51.360193 0.873609 51.361367 0.867156 51.362540 0.860702 51.363714 0.853661 51.364300 0.847207 51.365474 0.839874 51.366354 0.833420 51.366354 0.826966 51.366647 0.819632 51.367527 0.812592 51.368407 0.805258 51.368994 0.797924 51.369581 0.793524 51.368114 0.795870 51.364887 0.798804 51.362247 0.803498 51.360193 0.809071 51.359020 0.814645 51.357260 0.821099 51.356086 0.827553 51.354913 0.834593 51.354326 0.841634 51.353740 0.848968 51.352860 0.856008 51.351980 0.863342 51.351393 0.870676 51.350513 0.877716 51.349633 0.884170 51.348753 0.888864 51.346699 0.893557 51.344646 0.900011 51.343472 0.906465 51.342592 0.913506 51.341712 0.919373 51.342005 0.924946 51.342886 0.929640 51.344059 0.935214 51.344939 0.939907 51.346406 0.944601 51.347873 0.950175 51.348753 0.956922 51.348459 0.963669 51.348166 0.970710 51.347286 0.976577 51.347579 0.983324 51.347286 0.989484 51.347579 0.996232 51.347286 1.001512 51.348166 1.007086 51.348753 1.011193 51.350806 1.015886 51.352273 1.020580 51.353446 1.024980 51.355206 1.028500 51.357847 1.032901 51.359313 1.037008 51.361367 1.041115 51.363420 1.046102 51.364594 1.050795 51.365767 1.055782 51.367234 1.061063 51.368114 1.067223 51.368407 1.073090 51.368701 1.079251 51.368994 1.085411 51.369287 1.091865 51.368994 1.097732 51.369287 1.103893 51.369581 1.110053 51.369581 1.116507 51.369581 1.122081 51.370167 1.127361 51.371048 1.132641 51.371928 1.137628 51.373394 1.142615 51.374568 1.147896 51.375155 1.153763 51.375448 1.159923 51.375741 1.165790 51.376035 1.171364 51.376915 1.177525 51.377208 1.182805 51.378088 1.187792 51.379555 1.193366 51.380435 1.198646 51.381315 1.203340 51.382782 1.208913 51.383662 1.215074 51.383955 1.220941 51.384249 1.227395 51.383955 1.234142 51.383662 1.241476 51.382782 1.247930 51.382488 1.254677 51.382195 1.261131 51.381902 1.268464 51.381022 1.274331 51.381315 1.279318 51.382782 1.284306 51.384249 1.288999 51.385422 1.294573 51.386009 1.300440 51.386302 1.306894 51.386009 1.313054 51.386302 1.319801 51.386009 1.325082 51.386889 1.331536 51.386595 1.337109 51.387475 1.342390 51.388355 1.347377 51.389822 1.352657 51.390702 1.358818 51.390702 1.364391 51.391289 1.370258 51.391582 1.377006 51.391289 1.383166 51.391582 1.388446 51.392462 1.393433 51.393929 1.398714 51.394809 1.404581 51.395103 1.410741 51.395396 1.416608 51.395396 1.422769 51.395689 1.428929 51.395689 1.435676 51.395689 1.441837 51.395396 1.448291 51.394223 1.452104 51.391876 # -b 1.452104 51.391876 1.452984 51.390116 1.453864 51.387182 1.454158 51.383368 1.454744 51.379555 1.454158 51.375448 1.452984 51.370754 1.451811 51.366354 1.449757 51.362540 1.447704 51.358727 1.446237 51.354326 1.444184 51.350513 1.442130 51.346699 1.440370 51.342886 1.437143 51.339659 1.434210 51.337018 1.430983 51.333792 1.427462 51.331738 1.423356 51.329685 1.419249 51.327924 1.413675 51.327044 1.406928 51.327338 1.400181 51.327631 1.394313 51.327338 1.389033 51.326751 1.384046 51.325284 1.379939 51.323231 1.377006 51.320591 1.375539 51.316190 1.377006 51.312377 1.380526 51.310323 1.382873 51.307096 1.384633 51.304163 1.385219 51.300642 1.383753 51.296242 1.382873 51.291255 1.383166 51.287735 1.384339 51.284508 1.387273 51.281574 1.389326 51.278641 1.391673 51.275414 1.393727 51.272774 1.395780 51.269840 1.396954 51.266320 1.399300 51.263386 1.400181 51.259866 1.401647 51.256346 1.402821 51.253119 1.404874 51.249892 1.405461 51.246372 1.406634 51.242852 1.407221 51.239038 1.407514 51.235224 1.408101 51.231704 1.408394 51.227891 1.408688 51.224077 1.409861 51.220850 1.410448 51.217036 1.410741 51.212930 1.411035 51.209409 1.410741 51.205302 1.411035 51.201782 1.410741 51.197382 1.409568 51.192981 1.409274 51.188874 1.407808 51.184181 1.406341 51.179780 1.404581 51.175967 1.402821 51.171860 1.400181 51.168340 1.398420 51.164526 1.396074 51.161006 1.393140 51.158072 1.390500 51.154845 1.386686 51.151912 1.383753 51.148978 1.380526 51.146045 1.377592 51.143111 1.373779 51.140764 1.371138 51.138711 1.368792 51.136071 1.365271 51.134017 1.361751 51.131377 1.357937 51.129030 1.353831 51.127270 1.349137 51.125803 1.344150 51.124337 1.338869 51.123750 1.333296 51.123163 1.327429 51.122870 1.322735 51.121403 1.317748 51.119936 1.313641 51.118469 1.309534 51.116416 1.304840 51.114949 1.300147 51.113189 1.295453 51.112016 1.290759 51.110549 1.285772 51.109082 1.281079 51.107909 1.276972 51.106149 1.272278 51.104682 1.267291 51.103215 1.262597 51.102042 1.257317 51.101455 1.251743 51.100575 1.245876 51.100281 1.239129 51.100575 1.232088 51.101455 1.226221 51.101162 1.220648 51.100281 1.216834 51.097641 1.213314 51.095294 1.210967 51.092068 1.208033 51.089134 1.205100 51.086200 1.201286 51.083854 1.196886 51.081800 1.193659 51.080627 1.189552 51.078573 1.184272 51.077693 1.179578 51.076520 1.174004 51.075640 1.168724 51.074760 1.161977 51.075053 1.155816 51.074760 1.149949 51.074466 1.143789 51.074173 1.137628 51.074466 1.130881 51.074760 1.123547 51.075640 1.117094 51.075933 1.111226 51.075640 1.105946 51.074760 1.100372 51.073880 1.095679 51.072413 1.091278 51.070946 1.087171 51.068893 1.083064 51.066839 1.078957 51.065372 1.074557 51.063319 1.070157 51.061265 1.066050 51.059799 1.061943 51.057745 1.058423 51.055398 1.054022 51.053638 1.049915 51.051585 1.045808 51.049824 1.042288 51.047478 1.038181 51.045424 1.034368 51.043077 1.029967 51.041317 1.026447 51.038970 1.022927 51.036330 1.019407 51.034277 1.015886 51.031637 1.012366 51.029583 1.008552 51.026943 1.005032 51.024303 1.001512 51.022249 0.998285 51.019022 0.994765 51.016969 0.991538 51.014035 0.988604 51.011102 0.986257 51.007581 0.983911 51.004061 0.981270 51.000541 0.978924 50.997314 0.977163 50.993207 0.974817 50.989687 0.973057 50.985873 0.971003 50.982060 0.970123 50.977366 0.968656 50.972672 0.968363 50.968565 0.968656 50.965045 0.969243 50.961231 0.969830 50.957418 0.969243 50.953311 0.969830 50.949497 0.970123 50.945977 0.971296 50.942457 0.972763 50.938937 0.973937 50.935416 0.975403 50.932189 0.978337 50.929843 0.979510 50.926029 0.980097 50.922509 0.978630 50.918108 0.975697 50.914881 0.970710 50.913708 0.965429 50.912828 0.959856 50.912535 0.955749 50.912535 0.949588 50.912828 0.942254 50.913708 0.934920 50.914588 0.928173 50.914881 0.920839 50.915762 0.913506 50.916642 0.907932 50.917228 0.900891 50.918108 0.893557 50.918988 0.886517 50.919868 0.880357 50.920749 0.873903 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-5.438204 57.734198 -5.443191 57.736251 -5.448471 57.738011 -5.453751 57.740065 -5.455512 57.743292 -5.457858 57.746812 -5.460499 57.749452 -5.465486 57.751506 -5.470473 57.753559 -5.473406 57.756493 -5.474580 57.760306 -5.476046 57.762066 -5.478393 57.765293 -5.480153 57.768520 -5.483380 57.771454 -5.485140 57.774681 -5.485434 57.778788 -5.482794 57.782014 -5.477807 57.779961 -5.475460 57.776734 -5.471646 57.774974 -5.468713 57.778201 -5.466952 57.782308 -5.464312 57.785241 -5.457858 57.786415 -5.452285 57.784655 -5.451991 57.780841 -5.452578 57.776147 -5.454632 57.772627 -5.457858 57.769400 -5.459032 57.765587 -5.456392 57.762360 -5.453458 57.759719 -5.450231 57.757079 -5.446418 57.754439 -5.441431 57.751799 -5.436737 57.749745 -5.432630 57.747105 -5.428523 57.745052 -5.425883 57.741825 -5.420896 57.740065 -5.417082 57.737425 -5.412095 57.735664 -5.407108 57.733318 -5.404175 57.730677 -5.402121 57.727157 -5.400361 57.723930 -5.403295 57.720703 -5.410922 57.721583 -5.417376 57.722463 # -b -4.239851 57.851833 -4.243371 57.850659 -4.248065 57.848313 -4.255692 57.848313 -4.262146 57.846552 -4.269186 57.845966 -4.275347 57.846846 -4.282681 57.847726 -4.290601 57.847726 -4.297642 57.847139 -4.304096 57.848313 -4.308789 57.850659 -4.313483 57.852419 -4.318470 57.854766 -4.323457 57.856526 -4.329031 57.858287 -4.335485 57.859753 -4.341645 57.861513 -4.347219 57.862980 -4.351912 57.865034 -4.355139 57.867967 -4.357779 57.870901 -4.360713 57.873834 -4.361886 57.877355 -4.360420 57.881755 -4.359833 57.886155 -4.362473 57.889089 -4.365993 57.891436 -4.371860 57.893196 -4.380661 57.893489 -4.385648 57.895836 -4.389462 57.898183 -4.392982 57.900823 -4.397089 57.903756 -4.400903 57.906103 -4.403836 57.908744 -4.402076 57.910797 -4.397969 57.908450 -4.392102 57.906690 -4.386528 57.904930 -4.380661 57.903463 -4.375967 57.901116 -4.370100 57.899356 -4.364233 57.897889 -4.359833 57.895836 -4.354846 57.893489 -4.351912 57.890849 -4.348979 57.887915 -4.346925 57.884395 -4.344579 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58.023152 -4.403543 58.022272 -4.409410 58.024032 -4.413223 58.026379 -4.417330 58.029019 -4.422024 58.031072 -4.425838 58.034299 # -b -4.309376 58.232020 -4.312896 58.228793 -4.316710 58.226446 -4.319643 58.223219 -4.322284 58.219699 -4.326097 58.217352 -4.331671 58.215592 -4.337245 58.213832 -4.341645 58.212072 -4.346632 58.210018 -4.351326 58.207672 -4.355139 58.205325 -4.359246 58.202685 -4.363353 58.200338 -4.368047 58.197991 -4.371860 58.195644 -4.375967 58.193004 -4.381248 58.191244 -4.386822 58.193004 -4.385648 58.197111 -4.380661 58.199164 -4.376554 58.201805 -4.371860 58.203858 -4.367460 58.205912 -4.363353 58.208258 -4.358660 58.210605 -4.354846 58.212952 -4.350739 58.215592 -4.346925 58.217939 -4.343112 58.220873 -4.338125 58.222633 -4.333724 58.224686 -4.330204 58.227913 -4.327271 58.230847 -4.323750 58.233780 -4.319937 58.236714 -4.315243 58.238474 -4.308203 58.238474 -4.306442 58.234954 -4.309376 58.232020 # -b -4.087307 58.269863 -4.093761 58.270743 -4.100508 58.272210 -4.107548 58.273383 -4.114882 58.274556 -4.117229 58.277490 -4.119282 58.280717 -4.124856 58.282477 -4.130430 58.284237 -4.138350 58.285411 -4.143924 58.283650 -4.144804 58.278957 -4.148031 58.276023 -4.154192 58.275143 -4.158298 58.277490 -4.159179 58.281010 -4.159472 58.285411 -4.158592 58.288931 -4.160645 58.292158 -4.160059 58.295971 -4.156538 58.298905 -4.154192 58.302425 -4.154192 58.304479 -4.154192 58.300372 -4.152431 58.297145 -4.148911 58.295091 -4.144217 58.292744 -4.136004 58.292744 -4.130136 58.293918 -4.124269 58.295678 -4.117229 58.295971 -4.111362 58.294505 -4.110188 58.290691 -4.111068 58.285997 -4.104321 58.284824 -4.098748 58.283064 -4.095814 58.280424 -4.091707 58.277783 -4.087013 58.275437 -4.082026 58.273676 -4.076453 58.271916 -4.077039 58.269276 -4.087307 58.269863 # -b -7.247320 57.588694 -7.250254 57.585467 -7.253187 57.582533 -7.256121 57.579307 -7.260521 57.577253 -7.265802 57.575493 -7.273429 57.575200 -7.281349 57.574906 -7.289270 57.574613 -7.297484 57.574906 -7.304231 57.576080 -7.311565 57.576666 -7.309218 57.579013 -7.303058 57.580187 -7.297484 57.581947 -7.291030 57.580773 -7.283403 57.581067 -7.279003 57.583120 -7.276656 57.586640 -7.279589 57.589867 -7.286336 57.590747 -7.291323 57.591627 -7.285163 57.593094 -7.284283 57.596028 -7.291030 57.597201 -7.297484 57.598375 -7.300711 57.601015 -7.299537 57.605415 -7.295137 57.607469 -7.288096 57.608055 -7.283403 57.606002 -7.281056 57.603068 -7.277242 57.600428 -7.271082 57.598961 -7.262868 57.598668 -7.255828 57.597788 -7.249960 57.596028 -7.246147 57.593681 -7.246734 57.589281 -7.247320 57.588694 # -b Geo-Coordinates-OSGB-2.06/lib/000755 000000 000024 00000000000 12223520206 016017 5ustar00rootstaff000000 000000 Geo-Coordinates-OSGB-2.06/ll_to_bng.pl000644 000765 000024 00000001610 11200274515 017562 0ustar00tobystaff000000 000000 #! /usr/bin/perl -w # Toby Thurston --- 6 May 2009 # Parse LL and show as National Grid ref use strict; use warnings; use Geo::Coordinates::OSGB qw/ parse_ISO_ll ll_to_grid shift_ll_from_WGS84 format_ll_trad format_grid_trad format_grid_landranger/; if ( @ARGV == 0 ) { die "Usage: $0 lat lon\n" } my ($lat, $lon); if ( @ARGV == 1 ) { ($lat, $lon) = parse_ISO_ll($ARGV[0]); } else { ($lat, $lon) = @ARGV; } my ($gla, $glo, undef) = shift_ll_from_WGS84($lat, $lon); my ($ge, $gn) = ll_to_grid($gla, $glo); my ($e, $n) = ll_to_grid($lat, $lon); print "Your input: @ARGV\n"; printf "is %s\n", scalar format_ll_trad($lat, $lon); printf "== %d %d from OSGB (%s)\n", $e, $n, scalar format_grid_landranger($e, $n); printf "or %d %d from WGS84 (%s)\n", $ge, $gn, scalar format_grid_landranger($ge, $gn); Geo-Coordinates-OSGB-2.06/make_kml_index.pl000644 000765 000024 00000006231 12202525637 020605 0ustar00tobystaff000000 000000 #! /usr/bin/perl -wc use strict; use warnings; use Readonly; # Create a KML file to show all the LR sheets in Google Earth warn "**************************************************************************************\n"; warn "*********** Experimental output! May not work in your version of Google Earth ******\n"; warn "*********** Experimental output! May not work in your version of Google Earth ******\n"; warn "*********** Experimental output! May not work in your version of Google Earth ******\n"; warn "*********** Experimental output! May not work in your version of Google Earth ******\n"; warn "**************************************************************************************\n"; # approach: # using OSGB::CC get all the SW corner locations for each sheet in m # workout the coordinates of each corner (by adding 40km) # and translate to ll WGS84 # write KML header # for each square write a polygon into the KML # write KML trailer use Geo::Coordinates::OSGB qw(grid_to_ll parse_landranger_grid format_grid_GPS); use Geo::Coordinates::OSTN02 qw(OSGB36_to_ETRS89); use Getopt::Std; sub grid2ll { my $e = shift; my $n = shift; my ($x,$y,undef) = OSGB36_to_ETRS89($e,$n,0); my ($lat, $lon) = grid_to_ll($x,$y,'ETRS89'); return ($lat, $lon); } my @sheets = (); Readonly my $sheet_size => 40_000; # in metres Readonly my $sheet_count => 204; # in metres for my $s (1..$sheet_count) { my ($swe, $swn) = parse_landranger_grid($s); push @sheets, { number => $s, sw => [ grid2ll( $swe , $swn ) ], nw => [ grid2ll( $swe , $swn+$sheet_size ) ], ne => [ grid2ll( $swe+$sheet_size , $swn+$sheet_size ) ], se => [ grid2ll( $swe+$sheet_size , $swn ) ], }; } print <<'END_HEADER'; OSGB_Landranger_index.kml normal #normalLRMaps highlight #selectLRMaps END_HEADER for my $s (@sheets) { print "\n"; print "Sheet $s->{number}\n"; print "#LRMaps\n"; print "Sheet $s->{number}\n"; print "\n"; print join(',', reverse(@{$s->{sw}}), 0) , "\n"; print join(',', reverse(@{$s->{nw}}), 0) , "\n"; print join(',', reverse(@{$s->{ne}}), 0) , "\n"; print join(',', reverse(@{$s->{se}}), 0) , "\n"; print join(',', reverse(@{$s->{sw}}), 0) , "\n"; print "\n"; print "\n"; } print <<'END_FOOTER'; END_FOOTER Geo-Coordinates-OSGB-2.06/Makefile.PL000644 000765 000024 00000000514 12202535365 017250 0ustar00tobystaff000000 000000 use ExtUtils::MakeMaker; # See lib/ExtUtils/MakeMaker.pm for details of how to influence # the contents of the Makefile that is written. WriteMakefile( NAME => 'Geo::Coordinates::OSGB', VERSION_FROM => 'lib/Geo/Coordinates/OSGB.pm', ABSTRACT_FROM => 'lib/Geo/Coordinates/OSGB.pm', dist => {TARFLAGS => '-cvf'}, ); Geo-Coordinates-OSGB-2.06/MANIFEST000644 000000 000024 00000000577 12223116224 016414 0ustar00rootstaff000000 000000 MANIFEST README Changes Makefile.PL lib/Geo/Coordinates/OSGB.pm lib/Geo/Coordinates/OSTN02.pm bng_to_ll.pl ll_to_bng.pl zero-points.pl make_kml_index.pl plotmaps.pl plotmaps.pdf gb-coastline.dat t/01load.t t/02known.t t/03random.t t/04parsing.t t/05load.t t/06transform.t t/07osdata.t t/08out_of_range.t META.yml Module meta-data (added by MakeMaker) Geo-Coordinates-OSGB-2.06/META.yml000644 000000 000024 00000001036 12223520206 016522 0ustar00rootstaff000000 000000 --- #YAML:1.0 name: Geo-Coordinates-OSGB version: 2.06 abstract: Convert coordinates between Lat/Lon and the British National Grid author: [] license: unknown distribution_type: module configure_requires: ExtUtils::MakeMaker: 0 build_requires: ExtUtils::MakeMaker: 0 requires: {} no_index: directory: - t - inc generated_by: ExtUtils::MakeMaker version 6.56 meta-spec: url: http://module-build.sourceforge.net/META-spec-v1.4.html version: 1.4 Geo-Coordinates-OSGB-2.06/plotmaps.pdf000644 000765 000024 00001203371 12202723203 017625 0ustar00tobystaff000000 000000 %PDF-1.4 %Çì¢ 5 0 obj <> stream xœ\}IÒl¹nÞ¼V‘¨4ûfšK/À{Pr„Âoßø0ïs(Bõ~\& ‚èþק|ë§àÿüßÿñŸý·ߟÿùþú¯¿ÚXßS×go9÷|þó¯}Fûîø'µÎ²¾+ù›äýõß?ÿû¯ó½}õñù¿•ï¼w•ûyÿ£~þýßþZmÖooŸ¿{¹ß;{|-@å;ÚßU{L¶ÚØßsšßÕ·@ã{éß»=¨Ë¨}çj•oŸá³‡ SÅìížïjW õm ùÝs4ñwûž=õ÷ˆ ÿÝÎùÎ2r1èôïéÍ?úÆG_­-§^µ×wÜ%Ðù6̵û· º_|Ýï®5~ ZoIó¾êßéÙcÇ3ÐÒæý!a~[(~Xµ½8œ5êßmÜÅ0U`úmpÜïÂÚÓñQ‚p4€Œoñ÷f;p«Û9(ð©­M+˜óÛ±¨@PÓç&¶Ûë·x–óXO ‚Ò€U¾…ñ³êw`9­¾³Œ}cc5ÎÍk^1+¬ñÅüÝúVÌTY×£v,6@Aau»èŠ%±Ö#ìî :Ìij†~¸ë÷ÄÙÕ{¿ÃK3  8ÎîÆ"iß[„’dSÕsc"º½¿¿;ñÁ¦5ìß(Vêýì ’®ñÏ„Ë ÈŒsÒaÆpyÝíÛŽf Bþ»ÆÝ&¨3¾KX †› T ÌÖœ+nS@æþ–¢užE,ÔùÛM€V4“´r¶fÊm%(h+@AúÍ‹?œ—Ë”iØNo âìA ‰…¤ßŠ+g¢äòƒ-þihíwð kCH\_ÜÈ`Bßy´¬¸ä“ þ6N“x¨Å´ÖKÕI5ˆGSÁŸ#–Tõ·HºqÔkØH Îr'©¸ÇŒ¸züæ0¨èÿr‰ÓdS H,hnƒùÝëæëßëåTÙýÁCŽ~Ðb9±àÀy©"òÞ´Ñ3Óvðh@úеïq Þ „5Dö=8xCP÷÷à3XΉ›g4v3ðµ’ 8ð@ÉcÖ}éÁMpÓƒÕõ9 êäYqGNma‰Š¯\†<î︂g^­ T‹IkTÜÿø`\ð[‹!€ÀCù^<®qÌœaáñm¬¿ÞâG=½Aq¡õ=ì6–°Btl]«hÚøaým:Hºá‡%D‡O*N >8pŸU£‚qX±« V­4?Œ›¶Ì•G©<±@‡ÅÇÁᣞÓZd¸qM?£íßL“ ; 6¿ïÒäAw—¤vMU‡@5vUÁUO~5ˆÆÅxrj†p>L<Éx©Å¡Êåâ.ûY;µ‚®BàœfÈ5B³[Òòb6èfÃw0ª ¡¬{µ‚ƒÄb«dŠE@v õüKù jÒþ-9$6¸O@B7‚LlkÿrðnÆt¯™ fNn†»¹ÇÛú‚*6I²^Ð×6 q'µÓÀxã¯R®Ç ð5È]ßÄÌp=ÍŠÖ <„~»aüx_°RKL‡*”çngAQø„êšWaAcŒÅÜ߈ Ü@žÚZ8àýmT‰‚2Îêü¨oÝ ‚=H“´´ Ù[HܸPMr·˜ÿ¶»áé‘{IKÚçƒ/&ÜèsûoâJ-èþP³ãÈÛk2 ì8ñÀ9Èpêïµ\è‡ÂÝŽóŽ]ƪcUúŽdYðÄêÓ j<‡õë nó@g4CÚQP,mcí €à.ÚÚQó}´èž…E® ­4‡l%4XÛF TÙ¡¦^‘ÖŽ;Çi‚Ä®7,£áP%À]LK?‚‘Ì9¸¤±oPô…¥ÿµØ ØUÝo}zú‡º¹†Øn!oÞ.9_ þ¸µ„1ãk*ÙÐúCT϶¢±yFÁ j5Ý‚1;7uq€®‹x{ðGWÓœÚòG–ÞGlv5¦Ñ ùsâù¯™—Ç@¶Õi£Ãš™:à`¿¸vµA˜ižgbî ÈL¨2W.è;°’tr‘E€åL*µ!FÒ«p&îh@n3!`×%¦p‚ðe¹)€‡%!È&ñy‚&¦¹5Á%â&…å MNIq&_Ì †¸ 9fVw‚ -ûŽ2Žj딞uLAÜur©ÀÉ {xp³1&¶`T\Rþ\_±Ÿs7)–—+ˆq‚.š[ZÔMX¸—5¤R«S HÐ]¨Wüò‰Ä®„~dÀPe!þ9<Úu{Û–/€ŽÅˆ]Ðþµ§©{¡%ÇMbòv8…>0ømŽÝ.ÒŒKf™zá-‚Â[$Á\XlÈcì…Á[ .læyÍVÔ}jŠÂÃ@¬òƒÅõøŒY醺Þ¼ ¯—ö¨ ÈÓaŧâ²údC4›qTC2á†(ƒ×¤‹C\ ->u¹6WÓ ´I!¾–ž… Š+ÎO,öÊ’kå¤çBÅ<ÁÔÌ÷nž¸‹²_Ë $Ä nõ·øebžú›çP¹m­¼oÅž;¡ Ù‹váÄ™N{i˜7°©²">=Ž§‰ÿJ)| ÔCÐ5P üeÒÒ!Kà<”$ ¤Y8 E9¸ "eèW±ç%p nr’€ÐL‚Pl" 8í€à¡ gqºŠiæošF厽;ôqÐuLÔRDÂ…'Tð8íšV×¥žÃX¿š6h=þ9ÝŸ€Lüî9ù•r àŠîk0ˆÔÑ ¡V·›nQ@D( ŽC!‡šx‡6E²€ûÍ(xÓd™$ŽCÀ©<&DúÎ.µ¡€¨Õtcé7ðΨ_£ ,$ÖÈ1ÆÀô6åAü±IèSÛŽÝk‚Ûº4@ì.߶쀀P CæmÚZ!!ðJŠ±»0]Àߊæ9¼œ½BG×Á@銙ƒ¿y5PÑÛn))þ¡T‘8:\¯^ h?>Þª…a@ˆ$®êWP@pO²úb‡¦UùýŠ¶hRèÂN…7.f†ãœÒeC9 ÑÉö† rxª¼ èB1dÀdhÀ kUkCŠOÀ%eRªEË á!_1!1$XÚÚ¡-ÅìP§½>˜ó±bÐèÞ yØww´`CÂÑ€þŠÇ@vàfjºÑP©°OøçòWbN&_3(Y!}z Û÷·Âe;3Hrxž šrºv^éÒ5q® ½+¸Û(ÓÚá†ÞË€3I‚uCï pÉx Àº™¤¾=0a˜Êt‰ Bò„I>®€À‡ðij1qÖqÓF§£€IÆ—RÎ;éGAJr÷l( kâ!âXÁËß¹o½Á±®¾ãsBà&6ÐSgßpÏ®_’tÓ…H0 cVT¬.Ph>Kq« Vš‡²wÍļ«M*Î[u9Gi1]_¨|<yK6$ïŘb‰&O—`ö hmÚZyºŠvd’’ êx/HBvøa]þFi¯Á˜;IH&­V©×ÁM)]C†žH~”œY`K€øGnzŒÕèp6%&&îÖì ٠Г,a§:´ÏµòSXrüqx–.¹>8]8S"´ï¼fÐp= ÂM/6¯]R§ÉdÑZj#æ5)%¤²Xx…p)Ä¢±u\EÄ çCŽHô÷%- ÕXg€ éÇ‘Ä©b>Ú M„wë9L«Ï ½IX1¨´ hd ¯A˜´¤;?Ól$uס¸+(J«1çcw—f„\©¦ZøzËC¸,ÀW$ÙRò0ÃðYLôÌ›$ø3œ¨Ö*O‹ßÝRw‚^Œ‡•IÀ«×ø£äû¸˜¦;âLfÙV© ˆåj³—W

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for my $xx ($x, $x+$sheet_size-100) { for my $yy ($y, $y+$sheet_size-100) { my ($sq, $e, $n) = format_grid_GPS($xx,$yy); next if defined $squares{$sq}; $squares{$sq} = sprintf "%f %f moveto currentpoint 100 100 rectstroke 50 40 rmoveto (%s) cshow\n", ($xx-$e)/1000, ($yy-$n)/1000, $sq; } } # keep track of bounding box $extreme_east = $x if $x > $extreme_east; $extreme_west = $x if $x < $extreme_west; $extreme_north = $y if $y > $extreme_north; $extreme_south = $y if $y < $extreme_south; } # allow for most north-eastern sheets $extreme_east += $sheet_size; $extreme_south += $sheet_size; $extreme_north += $sheet_size*4; # allow for the top most grid square ... my $ew_range = $extreme_east-$extreme_west; my $ns_range = $extreme_north-$extreme_south; # size of the paper in mm my ($width, $height) = (148,210); $opt_a == 4 && (($width, $height) = (210,297)); $opt_a == 3 && (($width, $height) = (297,420)); $opt_a == 2 && (($width, $height) = (420,594)); $opt_a == 1 && (($width, $height) = (594,840)); $opt_a == 0 && (($width, $height) = (840,1188)); # convert to points and deduct margins (20pts) $width = int($width / 25.4 * 72 + 0.5) - 40; $height = int($height / 25.4 * 72 + 0.5) - 40; my $urx = $width + 20; my $ury = $height + 20; my $scale = 1000 * $width / $ew_range; my $h_scale = 1000 * $height / $ns_range; $scale = $h_scale if $h_scale < $scale; print << "PREAMBLE"; %!PS-Adobe-3.0 EPSF-3.0 %%Creator: $0 %%Copyright: (C) 2008 Toby Thurston %%Title:(Index to the Landranger Sheets) %%CreationDate: (17 Jan 2008) %%BoundingBox: 20 20 $urx $ury %%Pages: 1 %%EndComments %%BeginSetup /Large { /Helvetica 24 selectfont } def /small { /Helvetica 8 selectfont } def /cshow { /s exch def s stringwidth pop neg 2 div dup 0 exch 0 rmoveto s show rmoveto } def %%EndSetup %%Page: 1 1 %%BeginPageSetup /pgsave save def %%EndPageSetup small $scale dup scale 170 30 translate -120 0 850 1280 rectclip PREAMBLE # a file of longitude & latitude data in "matlab" format open GB, ") { chomp; my ($lon, $lat) = split; if ( $lon eq '#' ) { print "stroke\n"; $cmd = 'moveto' } else { my ($e, $n) = ll_to_grid($lat,$lon); printf "%.3f %.3f %s\n", $e/1000, $n/1000, $cmd; $cmd = 'lineto' if ($cmd eq 'moveto'); } } close GB; print "grestore\n"; print "gsave .6 1 .6 setrgbcolor\n"; for my $lon (-9 .. 2) { my ($e, $n) = ll_to_grid(49.95, $lon); printf "%.3f %.3f moveto gsave 2 0 rmoveto small ($lon) show /degree glyphshow grestore\n", $e/1000, $n/1000; for my $lat (500 .. 609) { ($e,$n) = ll_to_grid($lat/10, $lon); printf "%.3f %.3f lineto\n", $e/1000, $n/1000; } print "gsave 2 0 rmoveto small ($lon) show /degree glyphshow grestore stroke\n"; } for my $lat (51 .. 60) { my ($e, $n) = ll_to_grid($lat, -9.2); printf "%.3f %.3f moveto gsave -2 2 rmoveto small ($lat) show /degree glyphshow grestore\n", $e/1000, $n/1000; for my $lon (-91 .. 22) { ($e,$n) = ll_to_grid($lat, $lon/10); printf "%.3f %.3f lineto\n", $e/1000, $n/1000; } print "gsave 0 2 rmoveto small ($lat) show /degree glyphshow grestore stroke\n"; } print "grestore\n"; print "gsave Large 1 .6 .6 setrgbcolor\n"; print $squares{$_} for sort keys %squares; print "grestore\n"; print ".3 setlinewidth\n"; print @sheets; print "pgsave restore showpage\n%%EOF\n"; Geo-Coordinates-OSGB-2.06/README000644 000765 000024 00000004160 12223515520 016151 0ustar00tobystaff000000 000000 Geo::Coordinates::OSGB Geo::Coordinates::OSTN02 ---------------------- Routines to convert latitude and longitude coordinates to and from transverse Mercator grid references, that are optimized for use with the British national grid. The OSGB module provides routines to convert between latitude/longitude coordinates based on the British Ordnance Survey's standard geoid model and the British National Grid. The module includes some useful extra routines to parse and format grid references in a variety of popular forms (including which Landranger map your point appears on). The second module provides an implementation of the standard transformation tables that are now used by the British Ordnance Survey to define the National Grid from GPS surveys. This module provides accurate conversion between the British National Grid and latitude/longitude coordinates based on the global WGS84 geoid model (the one used by all GPS devices, and popular mapping tools such as Google Earth). The OSTN02 data is rather large (6M bytes), and will take a few microseconds to load even on a new machine, but once loaded conversions should be reasonably quick. INSTALLATION This package installs in the regular Perl way. You don't need the C compiler and as far as I know there are no platform dependencies. Either use your local package tool, or just try [sudo] perl -MCPAN -e "install Geo::Coordinates::OSGB" For the die hards, the package can also be installed by hand; just unzip it to some temporary home, then do the usual thing: Perl Makefile.PL make make test [sudo] make install The last tests called by "make test" *will* generate some harmless warnings. The full suite of tests takes less than 2 seconds on my machine. You may or may not need sudo depending on how you have set up your system. DEPENDENCIES None. COPYRIGHT AND LICENCE Copyright (C) 2002-2013 Toby Thurston OSTN02 transformation data is freely available but remains Crown Copyright (C) 2002 This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself. All feedback gratefully received. Geo-Coordinates-OSGB-2.06/t/000755 000000 000024 00000000000 12223520206 015514 5ustar00rootstaff000000 000000 Geo-Coordinates-OSGB-2.06/zero-points.pl000644 000765 000024 00000000707 12202722510 020116 0ustar00tobystaff000000 000000 #! /usr/bin/perl -w # Toby Thurston -- 14 Aug 2013 # Find all the 000 000 grid references that are on a LR map use strict; use Geo::Coordinates::OSGB "format_grid_landranger"; my @out = (); for my $n (0 .. 12) { for my $e (0 .. 7) { my ($sq, undef, undef, @sheets) = format_grid_landranger($e*100000, $n*100000); next unless @sheets; push @out, "$sq 000 000 is on Landranger sheet $sheets[0]\n"; } } print sort @out; Geo-Coordinates-OSGB-2.06/t/01load.t000644 000765 000024 00000000204 12202530247 016774 0ustar00tobystaff000000 000000 BEGIN { $| = 1; print "1..1\n"; } END {print "not ok 1\n" unless $loaded;} use Geo::Coordinates::OSGB; $loaded = 1; print "ok 1\n"; Geo-Coordinates-OSGB-2.06/t/02known.t000644 000765 000024 00000006156 12202723054 017226 0ustar00tobystaff000000 000000 # Toby Thurston --- 4 Sep 2007 # test a known location converts correctly use Geo::Coordinates::OSGB ':all'; use Test::Simple tests => 17; # the sw corner of OS Explorer sheet 161 (Cobham, Surrey) # check we are within 10m (easily the limit of my ability # to measure on a 1:25000 map) # Note that here we are using OSGB36 through out, because the LL printed on OS maps # is not based on WGS84 my ($e,$n) = ll_to_grid(51+20/60, -25/60); my ($expected_e, $expected_n) = (510290, 160606); ok( abs($expected_e-$e)<=10 && abs($expected_n-$n)<=10, "($e, $n) <=> ($expected_e, $expected_n)" ); my $gr = format_grid_trad(ll_to_grid(51+20/60, -25/60)); my $expected_gr = 'TQ 102 606'; ok( $gr eq $expected_gr, "$gr <=> $expected_gr"); # Hills above Loch Achall, OS Sheet 20 $gr = format_grid_GPS(ll_to_grid(57+55/60, -305/60)); $expected_gr = 'NH 17380 96054'; ok( $gr eq $expected_gr, "$gr <=> $expected_gr"); # and now a boggy path just north of Glendessary in Lochaber # OS Sheet 40 topright corner. A graticule intersection at # 57N 5o20W is marked. GR measured from the map. # Fail unless we get to within 0.001 of a degree. # it is not clear that Landranger sheets are printed to this accuracy this far north my $eps = 0.001; #56.9998371807847 57 -5.33448546228202 -5.333 NOT ok 4 #56.999834988726 57 -5.33456762730497 -5.333 NOT ok 4 my ($lat,$lon) = grid_to_ll(197600,794800); my ($expected_lat, $expected_lon) = (57, -5.3333333333333); ok( abs($expected_lat-$lat)<$eps && abs($expected_lon-$lon)<$eps, 'Glendessary'); my $isoform = format_ll_ISO(grid_to_ll(parse_trad_grid('NM975948'))); my $expected_iso = '+5700-00520/'; ok( $isoform eq $expected_iso, ">>$isoform<< Path above Glendessary"); $isoform = format_ll_ISO(grid_to_ll(parse_trad_grid('SX700683'))); $expected_iso = '+5030-00350/'; ok( $isoform eq $expected_iso, 'Scorriton, Devon'); $isoform = format_ll_ISO(grid_to_ll(parse_trad_grid('TQ103606'))); $expected_iso = '+5120-00025/'; ok( $isoform eq $expected_iso, $isoform . 'Chobham, Surrey'); ($lat,$lon) = grid_to_ll(510350,160600); ($expected_lat, $expected_lon) = (51+20/60, -25/60); ok( abs($expected_lat-$lat)<$eps && abs($expected_lon-$lon)<$eps, 'Chobham, Again'); $isoform = format_ll_ISO(grid_to_ll(parse_trad_grid('NH173960'))); $expected_iso = '+5755-00505/'; ok( $isoform eq $expected_iso, 'Glen Achall, Ullapool'); sub test_me { return format_grid_trad(ll_to_grid(grid_to_ll(parse_trad_grid($_[0])))); } ok( test_me('NM975948') eq 'NM 975 948' ,"NM975948"); ok( test_me('NH073060') eq 'NH 073 060' ,"NH073060"); ok( test_me('SX700682') eq 'SX 700 682' ,"SX700682"); ok( test_me('TQ103606') eq 'TQ 103 606' ,"TQ103606"); ok( test_me('HY554300') eq 'HY 554 300' ,"HY554300"); $isoform = format_ll_ISO(grid_to_ll(parse_trad_grid('HY232040'))); $expected_iso = '+5855-00320/'; ok( $isoform eq $expected_iso, 'Hoy, Orkney'); $gr = format_grid_trad(parse_landranger_grid('40','975948')); $expected_gr = 'NM 975 948'; ok( $gr eq $expected_gr, "$gr <=> $expected_gr"); # Greenwich -- important test for long == 0 $gr = format_grid_trad(ll_to_grid(51.5,0)); $expected_gr = 'TQ 388 798'; ok( $gr eq $expected_gr, "$gr <=> $expected_gr"); Geo-Coordinates-OSGB-2.06/t/03random.t000644 000765 000024 00000006000 12202530244 017334 0ustar00tobystaff000000 000000 # Toby Thurston --- 7 Sep 2007 # first test by taking ten random pairs of long/lat in the range of # the British Isles 1E -- 6W, 49N -- 59N and checking that we # can convert back and forth with an error of less than 10cm, which # roughly corresponds to $eps of 0.00001 use Geo::Coordinates::OSGB qw( ll_to_grid grid_to_ll format_grid_landranger format_grid_trad parse_landranger_grid parse_GPS_grid format_ll_ISO format_ll_trad shift_ll_into_WGS84 shift_ll_from_WGS84 ); use Test::Simple tests => 44; use strict; # test for some edge conditions first my ($sq, $e, $n, @sheets) = format_grid_landranger(320000,305000); # NE corner of Sheep 136 ok( $sq eq 'SJ' && $e == 200 && $n == 50, "$sq $e $n @sheets" ); my $f = format_grid_trad(parse_landranger_grid($sheets[0],sprintf("%03d",$e),sprintf("%03d",$n))); ok( 'SJ 200 050' eq $f, $f); ($sq, $e, $n, @sheets) = format_grid_landranger(280000,265000); # SW corner of Sheep 136 ok( $sq eq 'SN' && $e == 800 && $n == 650, "$sq $e $n @sheets" ); $f = format_grid_trad(parse_landranger_grid($sheets[1],sprintf("%03d",$e),sprintf("%03d",$n))); ok( 'SN 800 650' eq $f, $f); my $eps = 0.0001; for (1..10) { my $phi = rand() * 2 + 51; # 51 -- 53 my $lam = rand() * 2 - 1 ; # -1 -- +1 my ($E,$N) = ll_to_grid($phi,$lam); my ($ph2,$la2) = grid_to_ll($E,$N); ok( abs($phi-$ph2)<$eps && abs($lam-$la2)<$eps, sprintf "Grid/LL: %s=%s", format_ll_trad($phi, $lam), format_ll_trad($ph2+5, $la2) ); } for (1..10) { my $phi = rand() * 3 + 51; # 51 -- 54 my $lam = rand() * 3 - 2 ; # -2 -- +1 my ($p84,$l84) = shift_ll_into_WGS84($phi,$lam); my ($ph2,$la2) = shift_ll_from_WGS84($p84,$l84); ok( abs($phi-$ph2)<$eps && abs($lam-$la2)<$eps, sprintf "WGS84/LL: %s=%s", format_ll_ISO($phi, $lam), format_ll_ISO($ph2, $la2) ); } # now test 20 random grid locations and cycle them through grid -> short grid -> map my @fully_covered_squares = qw(NN SE SK SP SU); for my $i (1..20) { my $rand_gr = sprintf "%s %05d %05d", $fully_covered_squares[int(rand(4))], int(rand(99999)), int(rand(99999)); my ($e, $n) = parse_GPS_grid($rand_gr); my ($gr1, $gr2, @sheets); (undef, $e, $n, @sheets) = format_grid_landranger($e,$n); if ( @sheets ) { $gr1 = map_to_grid($sheets[0],sprintf("%03d",$e),sprintf("%03d",$n)); $gr2 = format_grid_trad( ll_to_grid( grid_to_ll( parse_landranger_grid($sheets[0],sprintf("%03d",$e),sprintf("%03d",$n)) ) ) ); } ok( @sheets && ($gr1 eq $gr2) , "GR$i: $gr1=$gr2 $rand_gr ". scalar @sheets ); } sub map_to_grid { return format_grid_trad(parse_landranger_grid(@_)) } Geo-Coordinates-OSGB-2.06/t/04parsing.t000644 000765 000024 00000005376 11305225005 017536 0ustar00tobystaff000000 000000 # Toby Thurston --- 28 Sep 2008 # test grid ref parsing and ll parsing use Test::Simple tests=>24; use Geo::Coordinates::OSGB qw( parse_trad_grid parse_GPS_grid parse_grid parse_landranger_grid format_grid_trad ll_to_grid grid_to_ll shift_ll_from_WGS84 shift_ll_into_WGS84 ); ok( parse_grid('176/238714') eq parse_landranger_grid(176,238,714), 'Parse sheets'); ok( parse_grid('TA123567') eq parse_trad_grid('TA123567'), 'Parse trad1'); ok( parse_grid('TA123567') eq parse_trad_grid('TA 123 567'), 'Parse trad1a'); ok( parse_grid('TA123567') eq parse_trad_grid('TA','123567'), 'Parse trad2'); ok( parse_grid('TA123567') eq parse_trad_grid('TA',123,567), 'Parse trad3'); ok( parse_grid(1) eq parse_landranger_grid(1), 'Parse sheet1'); ok( parse_grid(1) eq format_grid_trad(429000,1179000) , 'Parse formatting'); ok( parse_grid(204) eq format_grid_trad(172000,14000) , 'Parse formatting'); ok( (($e,$n) = parse_grid('TQ 234 098')) && $e == 523_400 && $n == 109_800 , "Help example 1 $e $n"); ok( (($e,$n) = parse_grid('TQ234098') ) && $e == 523_400 && $n == 109_800 , "Help example 2 $e $n"); ok( (($e,$n) = parse_grid('TQ',234,98) ) && $e == 523_400 && $n == 109_800 , "Help example 3 $e $n"); ok( (($e,$n) = parse_grid('TQ 23451 09893')) && $e == 523_451 && $n == 109_893 , "Help example 4 $e $n"); ok( (($e,$n) = parse_grid('TQ2345109893') ) && $e == 523_451 && $n == 109_893 , "Help example 5 $e $n"); ok( (($e,$n) = parse_grid('TQ',23451,9893) ) && $e == 523_451 && $n == 109_893 , "Help example 6 $e $n"); # You can also get grid refs from individual maps. # Sheet between 1..204; gre & grn must be 3 or 5 digits long ok( (($e,$n) = parse_grid(176,123,994) ) && $e == 512_300 && $n == 199_400 , "Help example 7 $e $n"); # # With just the sheet number you get GR for SW corner ok( (($e,$n) = parse_grid(184)) && $e == 389000 && $n == 115000 , "Help example 8 $e $n"); my $gr = ll_to_grid(52.5,-5); ok( $gr eq 'SM 963 933', "ISO form LL parsing -> $gr "); $gr = ll_to_grid('+52.5-005/'); ok( $gr eq 'SM 963 933', "ISO form LL parsing -> $gr "); $gr = ll_to_grid('+5230-00025/'); ok( $gr eq 'TL 074 903', "ISO form LL parsing -> $gr "); $gr = ll_to_grid('+512021-0002502/'); ok( $gr eq 'TQ 102 612', "ISO form LL parsing -> $gr "); $gr = ll_to_grid('+52-002/'); ok( $gr eq 'SP 000 335', "ISO form LL parsing -> $gr "); $gr = ll_to_grid('+5255+00110+74/'); ok( $gr eq 'TG 128 402', "ISO form LL parsing -> $gr "); $gr = ll_to_grid(shift_ll_from_WGS84(53.222691,-3.327814)); ok( $gr eq 'SJ 114 703', "ISO form LL parsing -> $gr "); my $ll = grid_to_ll(parse_grid('SM 963 933')); ok($ll eq '+5230-00500/'); Geo-Coordinates-OSGB-2.06/t/05load.t000644 000765 000024 00000000206 12202530241 016774 0ustar00tobystaff000000 000000 BEGIN { $| = 1; print "1..1\n"; } END {print "not ok 1\n" unless $loaded;} use Geo::Coordinates::OSTN02; $loaded = 1; print "ok 1\n"; Geo-Coordinates-OSGB-2.06/t/06transform.t000644 000765 000024 00000001273 12202530243 020100 0ustar00tobystaff000000 000000 # Toby Thurston --- 7 Sep 2007 # tests from the OS paper use strict; use Geo::Coordinates::OSTN02 qw/ETRS89_to_OSGB36 OSGB36_to_ETRS89/; use Geo::Coordinates::OSGB qw/grid_to_ll ll_to_grid/; use Test::Simple tests=>3; my ($ETRS_e, $ETRS_n) = ll_to_grid(52.658007833, 1.716073973, 'ETRS89'); ok($ETRS_e == 651307.003 && $ETRS_n == 313255.686, "$ETRS_e <> 651307.003 $ETRS_n <> 313255.686"); my ($e, $n) = ETRS89_to_OSGB36($ETRS_e, $ETRS_n); ok($e == 651409.792 && $n == 313177.448, "$e <> 651409.792 $n <> 313177.448"); # start again my ($e3, $n3) = OSGB36_to_ETRS89(651409.792, 313177.448); ok($e3 == 651307.003 && $n3 == 313255.686, "$e3 <> 651307.003 $n3 <> 313255.686"); Geo-Coordinates-OSGB-2.06/t/07osdata.t000644 000765 000024 00000016500 12202530167 017345 0ustar00tobystaff000000 000000 #! perl -w # Toby Thurston --- 16 Apr 2009 use strict; # This test data is taken directly from the OS publications about OSTN02 # StationName Eeg°in'9_Lat_Sec EDeg°in'_Long_Sec ETRS89_Height ETRS89_East ETRS89_North OSGB36_East OSGB36_North ODN_Height my %test_input = ( Scilly => [ 49.922263943333, -6.299777527222, 100.000, 91400.000, 11400.000, 91492.135, 11318.801, 46.882 ], Liz1 => [ 49.960061383056, -5.203046100278, 124.269, 170277.189, 11652.895, 170370.706, 11572.404, 71.222 ], Plym => [ 50.438858254722, -4.108645639722, 215.251, 250265.789, 62095.883, 250359.798, 62016.567, 163.081 ], Scp1 => [ 50.575636651667, -1.297822771389, 94.688, 449719.403, 75415.594, 449816.359, 75335.859, 48.571 ], OSHQ => [ 50.931279377500, -1.450514340556, 100.405, 438614.045, 114871.192, 438710.908, 114792.248, 54.029 ], Nfo1 => [ 51.374470259167, 1.444547306944, 99.439, 639720.224, 169645.824, 639821.823, 169565.856, 55.110 ], Nas1 => [ 51.400782203889, -3.551283487222, 112.371, 292090.289, 168081.281, 292184.858, 168003.462, 60.615 ], Bris => [ 51.427547433611, -2.544076186111, 104.018, 362174.408, 170056.500, 362269.979, 169978.688, 54.467 ], Lond => [ 51.489365646111, -0.119925564167, 66.057, 530526.413, 178467.043, 530624.963, 178388.461, 20.518 ], Carm => [ 51.858908967500, -4.308524766111, 81.351, 241030.731, 220409.858, 241124.573, 220332.638, 27.590 ], Colc => [ 51.894366375278, 0.897243275000, 75.273, 599345.196, 225801.485, 599445.578, 225722.824, 30.192 ], Nort => [ 52.251609509167, -0.912489570000, 131.594, 474237.874, 262125.333, 474335.957, 262047.752, 83.961 ], Droi => [ 52.255293816389, -2.154586149444, 101.526, 389448.042, 261989.271, 389544.178, 261912.151, 51.977 ], King => [ 52.751366874444, 0.401535476944, 66.431, 562079.805, 319862.042, 562180.535, 319784.993, 20.890 ], Nott => [ 52.962191095000, -1.197476561667, 93.825, 453904.269, 340910.743, 454002.822, 340834.941, 45.253 ], Dare => [ 53.344802806667, -2.640493207222, 88.411, 357359.683, 383364.152, 357455.831, 383290.434, 36.750 ], Lyn1 => [ 53.416285157778, -4.289180693056, 100.776, 247865.448, 393566.264, 247958.959, 393492.906, 46.314 ], Lyn2 => [ 53.416309251667, -4.289177926389, 100.854, 247865.718, 393568.938, 247959.229, 393495.580, 46.393 ], Blac => [ 53.779110256944, -3.040454906944, 64.940, 331439.160, 431992.943, 331534.552, 431920.792, 12.636 ], Leed => [ 53.800215199167, -1.663791675833, 215.609, 422143.679, 433891.207, 422242.174, 433818.699, 165.891 ], IoMS => [ 54.086663180833, -4.634521685000, 84.366, 227685.882, 468918.331, 227778.318, 468847.386, 29.335 ], Fla1 => [ 54.116851443333, -0.077731326667, 86.778, 525643.491, 470775.610, 525745.658, 470703.211, 41.217 ], IoMN => [ 54.329195410556, -4.388491180000, 94.503, 244687.517, 495324.611, 244780.625, 495254.884, 39.891 ], Carl => [ 54.895423405278, -2.938277414722, 93.541, 339824.598, 556102.504, 339921.133, 556034.759, 41.077 ], Newc => [ 54.979122740000, -1.616576845556, 125.878, 424539.719, 565080.533, 424639.343, 565012.700, 76.551 ], Glas => [ 55.853999529722, -4.296490155556, 71.617, 256247.486, 664760.292, 256340.914, 664697.266, 17.414 ], Edin => [ 55.924782652500, -3.294792187778, 119.032, 319092.329, 671010.630, 319188.423, 670947.532, 66.362 ], Mala => [ 57.006066965278, -5.828366926389, 68.494, 167542.805, 797124.153, 167634.190, 797067.142, 13.190 ], Gir1 => [ 57.139025193056, -2.048560316111, 108.610, 397061.069, 805408.146, 397160.479, 805349.734, 58.902 ], Inve => [ 57.486250003333, -4.219263989444, 66.178, 266961.481, 846233.646, 267056.756, 846176.969, 13.230 ], Stkilda => [ 57.813518421667, -8.578544610278, 100.000, 9500.003, 899499.996, 9587.897, 899448.993, 43.424 ], Flannan => [ 58.212622481389, -7.592555631111, 140.404, 71622.450, 938567.303, 71713.120, 938516.401, 83.594 ], But1 => [ 58.515603618056, -6.260914556389, 115.026, 151874.984, 966535.331, 151968.641, 966483.777, 58.836 ], Thur => [ 58.581204614444, -3.726310213056, 98.634, 299624.627, 967256.596, 299721.879, 967202.990, 46.011 ], Ork_Main_Ork => [ 58.718937183056, -3.073926035278, 100.000, 337800.000, 981800.000, 337898.195, 981746.359, 48.631 ], Ork_Main_Main => [ 58.721082864444, -3.137882873056, 100.000, 334100.000, 982100.000, 334198.101, 982046.419, 48.439 ], Orkney => [ 59.037438710000, -3.214540010556, 100.000, 330300.000, 1017400.000, 330398.311, 1017347.013, 47.978 ], SuleSkerry => [ 59.093350350833, -4.417576741667, 100.000, 261500.000, 1025500.000, 261596.767, 1025447.599, 46.347 ], NorthRona => [ 59.096716177778, -5.827993408889, 140.716, 180766.824, 1029654.640, 180862.449, 1029604.111, 85.197 ], FairIsle => [ 59.534707943333, -1.625169658333, 100.000, 421200.000, 1072200.000, 421300.513, 1072147.236, 50.951 ], Sum1 => [ 59.854099142500, -1.274869112222, 149.890, 440623.592, 1107930.781, 440725.061, 1107878.445, 100.991 ], Foula => [ 60.133080920833, -2.073828223611, 140.716, 395898.578, 1138780.346, 395999.656, 1138728.948, 89.901 ], ); use Geo::Coordinates::OSTN02 qw/ETRS89_to_OSGB36 OSGB36_to_ETRS89/; use Geo::Coordinates::OSGB qw/grid_to_ll ll_to_grid/; use Test::Simple tests => 168; for my $k (sort keys %test_input ) { my ($lat,$lon, $z) = @{$test_input{$k}}[0,1,2]; my ($x,$y) = @{$test_input{$k}}[3,4]; my ($gotx, $goty) = ll_to_grid($lat,$lon,'ETRS89'); ok( $gotx == $x && $goty == $y , "Create X Y: $k: $x:$gotx $y:$goty" ); } my $eps = 0.001000001; # within 1mm (near as dammit) for my $k (sort keys %test_input ) { my ($lat,$lon, $z) = @{$test_input{$k}}[0,1,2]; my ($x,$y) = @{$test_input{$k}}[3,4]; my ($e,$n,$h) = @{$test_input{$k}}[5,6,7]; my ($gote, $gotn, $goth) = ETRS89_to_OSGB36($x, $y, $z); my $de = abs($gote-$e); my $dn = abs($gotn-$n); my $dh = abs($goth-$h); ok( $de<$eps && $dn<$eps && $dh<$eps, "ETRS89_to_OSGB36: $k : $de $dn :: $dh" ); } for my $k (sort keys %test_input ) { my ($lat,$lon, $z) = @{$test_input{$k}}[0,1,2]; my ($x,$y) = @{$test_input{$k}}[3,4]; my ($e,$n,$h) = @{$test_input{$k}}[5,6,7]; my ($gotX, $gotY, $gotZ) = OSGB36_to_ETRS89($e, $n, $h); my $dx = abs($gotX-$x); my $dy = abs($gotY-$y); my $dz = abs($gotZ-$z); ok( $dx<$eps && $dx<$eps && $dx<$eps, "OSGB36_to_ETRS89: $k : $dx $dy :: $dz" ); } $eps = 1.1e-6; # decimal degrees, which is about 20cm latitude, 10cm longitude for my $k (sort keys %test_input ) { my ($lat,$lon, $z) = @{$test_input{$k}}[0,1,2]; my ($x,$y) = @{$test_input{$k}}[3,4]; my ($e,$n,$h) = @{$test_input{$k}}[5,6,7]; my ($gotlat, $gotlon) = grid_to_ll($x,$y,'ETRS89'); ok( abs($lat-$gotlat)<$eps && abs($lon-$gotlon)<$eps, "back to LL: $k"); } Geo-Coordinates-OSGB-2.06/t/08out_of_range.t000644 000765 000024 00000001542 12202530165 020540 0ustar00tobystaff000000 000000 # Toby Thurston --- 22 Sep 2008 # out of range conditions use strict; use Geo::Coordinates::OSTN02 qw/ETRS89_to_OSGB36 OSGB36_to_ETRS89/; use Geo::Coordinates::OSGB qw/grid_to_ll ll_to_grid/; use Test::Simple tests=>4; my $r = Geo::Coordinates::OSTN02::_get_ostn_ref(0,0); ok( @$r == 3 && $r->[0] == 0 && $r->[1] == 0 && $r->[2] == 0 ); my ($ETRS_e, $ETRS_n) = ll_to_grid(55.2597198486328,-6.1883339881897, 'ETRS89'); ok($ETRS_e == 133894.603 && $ETRS_n == 604236.831, "$ETRS_e <> 133894.603 $ETRS_n <> 604236.831"); my ($e, $n) = ETRS89_to_OSGB36($ETRS_e, $ETRS_n); ok($e == 133894.603 && $n == 604236.831, "$e <> 133894.603 $n <> 604236.831"); my ($OFF_e, $OFF_n) = ll_to_grid(66,40, 'ETRS89'); my ($zze, $zzn) = ETRS89_to_OSGB36($OFF_e, $OFF_n); ok($zze == 2184421.573 && $zzn == 2427674.014, "$zze <> 2184421.573 $zzn <> 2427674.014"); Geo-Coordinates-OSGB-2.06/lib/Geo/000755 000000 000024 00000000000 12223520206 016531 5ustar00rootstaff000000 000000 Geo-Coordinates-OSGB-2.06/lib/Geo/Coordinates/000755 000000 000024 00000000000 12223520206 021003 5ustar00rootstaff000000 000000 Geo-Coordinates-OSGB-2.06/lib/Geo/Coordinates/OSGB.pm000644 000765 000024 00000171470 12223514127 022126 0ustar00tobystaff000000 000000 package Geo::Coordinates::OSGB; use base qw(Exporter); use strict; use warnings; use Carp; our $VERSION = '2.06'; our %EXPORT_TAGS = ( all => [ qw( ll_to_grid grid_to_ll shift_ll_into_WGS84 shift_ll_from_WGS84 parse_ISO_ll format_ll_trad format_ll_ISO parse_grid parse_trad_grid parse_GPS_grid parse_landranger_grid format_grid_trad format_grid_GPS format_grid_landranger )] ); our @EXPORT_OK = ( @{ $EXPORT_TAGS{all} } ); use Math::Trig qw(tan sec); use constant PI => 4 * atan2 1, 1; use constant RAD => PI / 180; use constant DAR => 180 / PI; use constant WGS84_MAJOR_AXIS => 6_378_137.000; use constant WGS84_MINOR_AXIS => 6_356_752.314_25; use constant WGS84_FLATTENING => 1 / 298.257223563; use constant OSGB_MAJOR_AXIS => 6_377_563.396; use constant OSGB_MINOR_AXIS => 6_356_256.910; # set defaults for Britain my %ellipsoid_shapes = ( WGS84 => [ WGS84_MAJOR_AXIS, WGS84_MINOR_AXIS ], ETRS89 => [ WGS84_MAJOR_AXIS, WGS84_MINOR_AXIS ], ETRN89 => [ WGS84_MAJOR_AXIS, WGS84_MINOR_AXIS ], GRS80 => [ WGS84_MAJOR_AXIS, WGS84_MINOR_AXIS ], OSGB36 => [ OSGB_MAJOR_AXIS, OSGB_MINOR_AXIS ], OSGM02 => [ OSGB_MAJOR_AXIS, OSGB_MINOR_AXIS ], ); # yes lots of synonyms # constants for OSGB mercator projection use constant ORIGIN_LONGITUDE => RAD * -2; use constant ORIGIN_LATITUDE => RAD * 49; use constant ORIGIN_EASTING => 400_000; use constant ORIGIN_NORTHING => -100_000; use constant CONVERGENCE_FACTOR => 0.9996012717; # size of LR sheets use constant LR_SHEET_SIZE => 40_000; # Pattern to recognise ISO long/lat strings my $ISO_LL_PATTERN = qr{\A ([-+])( \d{2,6})(?:\.(\d+))? ([-+])([01]\d{2,6})(?:\.(\d+))? ([-+][\.\d]+)? \/ \Z}smxo; sub ll_to_grid { my ($lat, $lon, $alt, $shape, @junk) = @_; return if !defined wantarray; if ( $alt && defined $ellipsoid_shapes{$alt} ) { $shape = $alt; $alt = undef; } if ( ! ($shape && defined $ellipsoid_shapes{$shape}) ) { $shape = 'OSGB36'; } if ($lat =~ $ISO_LL_PATTERN ) { ($lat, $lon, $alt) = parse_ISO_ll($lat); } my ($a,$b) = @{$ellipsoid_shapes{$shape}}; my $e2 = ($a**2-$b**2)/$a**2; my $n = ($a-$b)/($a+$b); my $phi = RAD * $lat; my $lam = RAD * $lon; my $sp2 = sin($phi)**2; my $nu = $a * CONVERGENCE_FACTOR * (1 - $e2 * $sp2 ) ** -0.5; my $rho = $a * CONVERGENCE_FACTOR * (1 - $e2) * (1 - $e2 * $sp2 ) ** -1.5; my $eta2 = $nu/$rho - 1; my $M = _compute_big_m($phi, $b, $n); my $cp = cos $phi ; my $sp = sin $phi; my $tp = tan($phi); my $tp2 = $tp*$tp ; my $tp4 = $tp2*$tp2 ; my $I = $M + ORIGIN_NORTHING; my $II = $nu/2 * $sp * $cp; my $III = $nu/24 * $sp * $cp**3 * (5-$tp2+9*$eta2); my $IIIA = $nu/720* $sp * $cp**5 *(61-58*$tp2+$tp4); my $IV = $nu*$cp; my $V = $nu/6 * $cp**3 * ($nu/$rho-$tp2); my $VI = $nu/120 * $cp**5 * (5-18*$tp2+$tp4+14*$eta2-58*$tp2*$eta2); my $l = $lam - ORIGIN_LONGITUDE; my $north = $I + $II*$l**2 + $III*$l**4 + $IIIA*$l**6; my $east = ORIGIN_EASTING + $IV*$l + $V*$l**3 + $VI*$l**5; # round to 3dp (mm) ($east, $north) = map { sprintf '%.3f', $_ } ($east, $north); return ($east,$north) if wantarray; return format_grid_trad($east, $north); } sub grid_to_ll { my ($E, $N, $shape, @junk) = @_; return if !defined wantarray; if ( ! ($shape && defined $ellipsoid_shapes{$shape}) ) { $shape = 'OSGB36'; } if ( ! defined $N ) { ($E, $N) = parse_grid($E); } my ($a,$b) = @{$ellipsoid_shapes{$shape}}; my $e2 = ($a**2-$b**2)/$a**2; my $n = ($a-$b)/($a+$b); my $dn = $N - ORIGIN_NORTHING; my ($phi, $lam); $phi = ORIGIN_LATITUDE + $dn/($a * CONVERGENCE_FACTOR); my $M = _compute_big_m($phi, $b, $n); while ($dn-$M >= 0.001) { $phi = $phi + ($dn-$M)/($a * CONVERGENCE_FACTOR); $M = _compute_big_m($phi, $b, $n); } my $sp2 = sin($phi)**2; my $nu = $a * CONVERGENCE_FACTOR * (1 - $e2 * $sp2 ) ** -0.5; my $rho = $a * CONVERGENCE_FACTOR * (1 - $e2) * (1 - $e2 * $sp2 ) ** -1.5; my $eta2 = $nu/$rho - 1; my $tp = tan($phi); my $tp2 = $tp*$tp ; my $tp4 = $tp2*$tp2 ; my $VII = $tp / (2*$rho*$nu); my $VIII = $tp / (24*$rho*$nu**3) * (5 + 3*$tp2 + $eta2 - 9*$tp2*$eta2); my $IX = $tp / (720*$rho*$nu**5) * (61 + 90*$tp2 + 45*$tp4); my $sp = sec($phi); my $tp6 = $tp4*$tp2 ; my $X = $sp/$nu; my $XI = $sp/( 6*$nu**3)*($nu/$rho + 2*$tp2); my $XII = $sp/( 120*$nu**5)*( 5 + 28*$tp2 + 24*$tp4); my $XIIA = $sp/(5040*$nu**7)*( 61 + 662*$tp2 + 1320*$tp4 + 720*$tp6); my $e = $E - ORIGIN_EASTING; $phi = $phi - $VII*$e**2 + $VIII*$e**4 - $IX*$e**6; $lam = ORIGIN_LONGITUDE + $X*$e - $XI*$e**3 + $XII*$e**5 - $XIIA*$e**7; # now put into degrees & return my $lat = $phi * DAR; my $lon = $lam * DAR; return ($lat, $lon) if wantarray; return format_ll_ISO($lat,$lon); } sub _compute_big_m { my ($phi, $b, $n) = @_; my $p_plus = $phi + ORIGIN_LATITUDE; my $p_minus = $phi - ORIGIN_LATITUDE; return $b * CONVERGENCE_FACTOR * ( (1 + $n * (1 + 5/4*$n*(1 + $n)))*$p_minus - 3*$n*(1+$n*(1+7/8*$n)) * sin( $p_minus) * cos( $p_plus) + (15/8*$n * ($n*(1+$n))) * sin(2*$p_minus) * cos(2*$p_plus) - 35/24*$n**3 * sin(3*$p_minus) * cos(3*$p_plus) ); } my %BIG_OFF = ( G => { E => -1, N => 2 }, H => { E => 0, N => 2 }, J => { E => 1, N => 2 }, M => { E => -1, N => 1 }, N => { E => 0, N => 1 }, O => { E => 1, N => 1 }, R => { E => -1, N => 0 }, S => { E => 0, N => 0 }, T => { E => 1, N => 0 }, ); my %SMALL_OFF = ( A => { E => 0, N => 4 }, B => { E => 1, N => 4 }, C => { E => 2, N => 4 }, D => { E => 3, N => 4 }, E => { E => 4, N => 4 }, F => { E => 0, N => 3 }, G => { E => 1, N => 3 }, H => { E => 2, N => 3 }, J => { E => 3, N => 3 }, K => { E => 4, N => 3 }, L => { E => 0, N => 2 }, M => { E => 1, N => 2 }, N => { E => 2, N => 2 }, O => { E => 3, N => 2 }, P => { E => 4, N => 2 }, Q => { E => 0, N => 1 }, R => { E => 1, N => 1 }, S => { E => 2, N => 1 }, T => { E => 3, N => 1 }, U => { E => 4, N => 1 }, V => { E => 0, N => 0 }, W => { E => 1, N => 0 }, X => { E => 2, N => 0 }, Y => { E => 3, N => 0 }, Z => { E => 4, N => 0 }, ); use constant BIG_SQUARE => 500_000; use constant SQUARE => 100_000; # Landranger sheet data # These are the full GRs (as metres from Newlyn) of the SW corner of each sheet. my %LR = ( 1 => [ 429_000, 1_179_000 ] , 2 => [ 433_000, 1_156_000 ] , 3 => [ 414_000, 1_147_000 ] , 4 => [ 420_000, 1_107_000 ] , 5 => [ 340_000, 1_020_000 ] , 6 => [ 321_000, 996_000 ] , 7 => [ 315_000, 970_000 ] , 8 => [ 117_000, 926_000 ] , 9 => [ 212_000, 940_000 ] , 10 => [ 252_000, 940_000 ] , 11 => [ 292_000, 929_000 ] , 12 => [ 300_000, 939_000 ] , 13 => [ 95_000, 903_000 ] , 14 => [ 105_000, 886_000 ] , 15 => [ 196_000, 900_000 ] , 16 => [ 236_000, 900_000 ] , 17 => [ 276_000, 900_000 ] , 18 => [ 69_000, 863_000 ] , 19 => [ 174_000, 860_000 ] , 20 => [ 214_000, 860_000 ] , 21 => [ 254_000, 860_000 ] , 22 => [ 57_000, 823_000 ] , 23 => [ 113_000, 836_000 ] , 24 => [ 150_000, 830_000 ] , 25 => [ 190_000, 820_000 ] , 26 => [ 230_000, 820_000 ] , 27 => [ 270_000, 830_000 ] , 28 => [ 310_000, 833_000 ] , 29 => [ 345_000, 830_000 ] , 30 => [ 377_000, 830_000 ] , 31 => [ 50_000, 783_000 ] , 32 => [ 130_000, 800_000 ] , 33 => [ 170_000, 790_000 ] , 34 => [ 210_000, 780_000 ] , 35 => [ 250_000, 790_000 ] , 36 => [ 285_000, 793_000 ] , 37 => [ 325_000, 793_000 ] , 38 => [ 365_000, 790_000 ] , 39 => [ 120_000, 770_000 ] , 40 => [ 160_000, 760_000 ] , 41 => [ 200_000, 750_000 ] , 42 => [ 240_000, 750_000 ] , 43 => [ 280_000, 760_000 ] , 44 => [ 320_000, 760_000 ] , 45 => [ 360_000, 760_000 ] , 46 => [ 92_000, 733_000 ] , 47 => [ 120_000, 733_000 ] , 48 => [ 120_000, 710_000 ] , 49 => [ 160_000, 720_000 ] , 50 => [ 200_000, 710_000 ] , 51 => [ 240_000, 720_000 ] , 52 => [ 270_000, 720_000 ] , 53 => [ 294_000, 720_000 ] , 54 => [ 334_000, 720_000 ] , 55 => [ 164_000, 680_000 ] , 56 => [ 204_000, 682_000 ] , 57 => [ 244_000, 682_000 ] , 58 => [ 284_000, 690_000 ] , 59 => [ 324_000, 690_000 ] , 60 => [ 110_000, 640_000 ] , 61 => [ 131_000, 662_000 ] , 62 => [ 160_000, 640_000 ] , 63 => [ 200_000, 642_000 ] , 64 => [ 240_000, 645_000 ] , 65 => [ 280_000, 650_000 ] , 66 => [ 316_000, 650_000 ] , 67 => [ 356_000, 650_000 ] , 68 => [ 157_000, 600_000 ] , 69 => [ 175_000, 613_000 ] , 70 => [ 215_000, 605_000 ] , 71 => [ 255_000, 605_000 ] , 72 => [ 280_000, 620_000 ] , 73 => [ 320_000, 620_000 ] , 74 => [ 357_000, 620_000 ] , 75 => [ 390_000, 620_000 ] , 76 => [ 195_000, 570_000 ] , 77 => [ 235_000, 570_000 ] , 78 => [ 275_000, 580_000 ] , 79 => [ 315_000, 580_000 ] , 80 => [ 355_000, 580_000 ] , 81 => [ 395_000, 580_000 ] , 82 => [ 195_000, 530_000 ] , 83 => [ 235_000, 530_000 ] , 84 => [ 265_000, 540_000 ] , 85 => [ 305_000, 540_000 ] , 86 => [ 345_000, 540_000 ] , 87 => [ 367_000, 540_000 ] , 88 => [ 407_000, 540_000 ] , 89 => [ 290_000, 500_000 ] , 90 => [ 317_000, 500_000 ] , 91 => [ 357_000, 500_000 ] , 92 => [ 380_000, 500_000 ] , 93 => [ 420_000, 500_000 ] , 94 => [ 460_000, 485_000 ] , 95 => [ 213_000, 465_000 ] , 96 => [ 303_000, 460_000 ] , 97 => [ 326_000, 460_000 ] , 98 => [ 366_000, 460_000 ] , 99 => [ 406_000, 460_000 ] , 100 => [ 446_000, 460_000 ] , 101 => [ 486_000, 460_000 ] , 102 => [ 326_000, 420_000 ] , 103 => [ 360_000, 420_000 ] , 104 => [ 400_000, 420_000 ] , 105 => [ 440_000, 420_000 ] , 106 => [ 463_000, 420_000 ] , 107 => [ 500_000, 420_000 ] , 108 => [ 320_000, 380_000 ] , 109 => [ 360_000, 380_000 ] , 110 => [ 400_000, 380_000 ] , 111 => [ 430_000, 380_000 ] , 112 => [ 470_000, 385_000 ] , 113 => [ 510_000, 386_000 ] , 114 => [ 220_000, 360_000 ] , 115 => [ 240_000, 345_000 ] , 116 => [ 280_000, 345_000 ] , 117 => [ 320_000, 340_000 ] , 118 => [ 360_000, 340_000 ] , 119 => [ 400_000, 340_000 ] , 120 => [ 440_000, 350_000 ] , 121 => [ 478_000, 350_000 ] , 122 => [ 518_000, 350_000 ] , 123 => [ 210_000, 320_000 ] , 124 => [ 250_000, 305_000 ] , 125 => [ 280_000, 305_000 ] , 126 => [ 320_000, 300_000 ] , 127 => [ 360_000, 300_000 ] , 128 => [ 400_000, 308_000 ] , 129 => [ 440_000, 310_000 ] , 130 => [ 480_000, 310_000 ] , 131 => [ 520_000, 310_000 ] , 132 => [ 560_000, 310_000 ] , 133 => [ 600_000, 310_000 ] , 134 => [ 617_000, 290_000 ] , 135 => [ 250_000, 265_000 ] , 136 => [ 280_000, 265_000 ] , 137 => [ 320_000, 260_000 ] , 138 => [ 345_000, 260_000 ] , 139 => [ 385_000, 268_000 ] , 140 => [ 425_000, 270_000 ] , 141 => [ 465_000, 270_000 ] , 142 => [ 504_000, 274_000 ] , 143 => [ 537_000, 274_000 ] , 144 => [ 577_000, 270_000 ] , 145 => [ 200_000, 220_000 ] , 146 => [ 240_000, 225_000 ] , 147 => [ 270_000, 240_000 ] , 148 => [ 310_000, 240_000 ] , 149 => [ 333_000, 228_000 ] , 150 => [ 373_000, 228_000 ] , 151 => [ 413_000, 230_000 ] , 152 => [ 453_000, 230_000 ] , 153 => [ 493_000, 234_000 ] , 154 => [ 533_000, 234_000 ] , 155 => [ 573_000, 234_000 ] , 156 => [ 613_000, 250_000 ] , 157 => [ 165_000, 201_000 ] , 158 => [ 189_000, 190_000 ] , 159 => [ 229_000, 185_000 ] , 160 => [ 269_000, 205_000 ] , 161 => [ 309_000, 205_000 ] , 162 => [ 349_000, 188_000 ] , 163 => [ 389_000, 190_000 ] , 164 => [ 429_000, 190_000 ] , 165 => [ 460_000, 195_000 ] , 166 => [ 500_000, 194_000 ] , 167 => [ 540_000, 194_000 ] , 168 => [ 580_000, 194_000 ] , 169 => [ 607_000, 210_000 ] , 170 => [ 269_000, 165_000 ] , 171 => [ 309_000, 165_000 ] , 172 => [ 340_000, 155_000 ] , 173 => [ 380_000, 155_000 ] , 174 => [ 420_000, 155_000 ] , 175 => [ 460_000, 155_000 ] , 176 => [ 495_000, 160_000 ] , 177 => [ 530_000, 160_000 ] , 178 => [ 565_000, 155_000 ] , 179 => [ 603_000, 133_000 ] , 180 => [ 240_000, 112_000 ] , 181 => [ 280_000, 112_000 ] , 182 => [ 320_000, 130_000 ] , 183 => [ 349_000, 115_000 ] , 184 => [ 389_000, 115_000 ] , 185 => [ 429_000, 116_000 ] , 186 => [ 465_000, 125_000 ] , 187 => [ 505_000, 125_000 ] , 188 => [ 545_000, 125_000 ] , 189 => [ 585_000, 115_000 ] , 190 => [ 207_000, 87_000 ] , 191 => [ 247_000, 72_000 ] , 192 => [ 287_000, 72_000 ] , 193 => [ 310_000, 90_000 ] , 194 => [ 349_000, 75_000 ] , 195 => [ 389_000, 75_000 ] , 196 => [ 429_000, 76_000 ] , 197 => [ 469_000, 90_000 ] , 198 => [ 509_000, 97_000 ] , 199 => [ 549_000, 94_000 ] , 200 => [ 175_000, 50_000 ] , 201 => [ 215_000, 47_000 ] , 202 => [ 255_000, 32_000 ] , 203 => [ 132_000, 11_000 ] , 204 => [ 172_000, 14_000 ] , ); sub format_grid_trad { my $e = shift; my $n = shift; my $sq; ($sq, $e, $n) = format_grid_GPS($e, $n); use integer; ($e,$n) = ($e/100,$n/100); return ($sq, $e, $n) if wantarray; return sprintf '%s %03d %03d', $sq, $e, $n; } sub format_grid_GPS { my $e = shift; my $n = shift; croak 'Easting must not be negative' if $e<0; croak 'Northing must not be negative' if $n<0; # round to nearest metre ($e,$n) = map { $_+0.5 } ($e, $n); my $sq; my $great_square_index_east = 2 + int $e/BIG_SQUARE; my $great_square_index_north = 1 + int $n/BIG_SQUARE; my $small_square_index_east = int ($e%BIG_SQUARE)/SQUARE; my $small_square_index_north = int ($n%BIG_SQUARE)/SQUARE; my @grid = ( [ qw( V W X Y Z ) ], [ qw( Q R S T U ) ], [ qw( L M N O P ) ], [ qw( F G H J K ) ], [ qw( A B C D E ) ], ); $sq = $grid[$great_square_index_north][$great_square_index_east] . $grid[$small_square_index_north][$small_square_index_east]; ($e,$n) = map { $_ % SQUARE } ($e, $n); return ($sq, $e, $n) if wantarray; return sprintf '%s %05d %05d', $sq, $e, $n; } sub format_grid_landranger { my ($e,$n) = @_; my @sheets = (); for my $sheet (1..204) { my $e_difference = $e - $LR{$sheet}->[0]; my $n_difference = $n - $LR{$sheet}->[1]; if ( 0 <= $e_difference && $e_difference < LR_SHEET_SIZE && 0 <= $n_difference && $n_difference < LR_SHEET_SIZE ) { push @sheets, $sheet } } my $sq; ($sq, $e, $n) = format_grid_trad($e,$n); return ($sq, $e, $n, @sheets) if wantarray; if (!@sheets ) { return sprintf '%s %03d %03d is not on any OS Sheet', $sq, $e, $n } if ( @sheets==1 ) { return sprintf '%s %03d %03d on OS Sheet %d' , $sq, $e, $n, $sheets[0] } if ( @sheets==2 ) { return sprintf '%s %03d %03d on OS Sheets %d and %d', $sq, $e, $n, @sheets } my $phrase = join ', ', @sheets[0..($#sheets-1)], "and $sheets[-1]"; return sprintf '%s %03d %03d on OS Sheets %s', $sq, $e, $n, $phrase; } my $SHORT_GRID_REF = qr{ \A ([GHJMNORST][A-Z]) \s? (\d{1,3}) \D? (\d{1,3}) \Z }smiox; my $LONG_GRID_REF = qr{ \A ([GHJMNORST][A-Z]) \s? (\d{4,5}) \D? (\d{4,5}) \Z }smiox; sub parse_grid { my $s = "@_"; if ( $s =~ $SHORT_GRID_REF ) { return _parse_grid($1, $2*100, $3*100) } if ( $s =~ $LONG_GRID_REF ) { return _parse_grid($1, $2, $3) } if ( $s =~ m{\A (\d{1,3}) \D+ (\d{3}) \D? (\d{3}) \Z}xsm ) { # sheet/eee/nnn etc return parse_landranger_grid($1, $2, $3) } if ( $s =~ m{\A \d{1,3} \Z}xsm && $s < 205 ) { # just a landranger sheet return parse_landranger_grid($s) } croak "$s <-- this does not match my grid ref patterns"; } sub parse_trad_grid { my $gr = "@_"; if ( $gr =~ $SHORT_GRID_REF ) { return _parse_grid($1, $2*100, $3*100) } croak "Cannot parse @_ as a traditional grid reference"; } sub parse_GPS_grid { my $gr = "@_"; if ( $gr =~ $LONG_GRID_REF ) { return _parse_grid($1, $2, $3) } croak "Cannot parse @_ as a GPS grid reference"; } sub _parse_grid { my ($letters, $e, $n) = @_; return if !defined wantarray; $letters = uc $letters; my $c = substr $letters,0,1; $e += $BIG_OFF{$c}->{E}*BIG_SQUARE; $n += $BIG_OFF{$c}->{N}*BIG_SQUARE; my $d = substr $letters,1,1; $e += $SMALL_OFF{$d}->{E}*SQUARE; $n += $SMALL_OFF{$d}->{N}*SQUARE; return ($e,$n); } sub parse_landranger_grid { my ($sheet, $e, $n) = @_; return if !defined wantarray; if ( !defined $sheet ) { croak 'Missing OS Sheet number' } if ( !defined $LR{$sheet} ) { croak "Unknown OS Sheet number ($sheet)" } if ( !defined $e ) { return wantarray ? @{$LR{$sheet}} : format_grid_trad(@{$LR{$sheet}}) } if ( !defined $n ) { $n = -1 } use integer; SWITCH: { if ( $e =~ m{\A (\d{3}) (\d{3}) \Z}x && $n == -1 ) { ($e, $n) = ($1*100, $2*100) ; last SWITCH } if ( $e =~ m{\A\d{3}\Z}x && $n =~ m{\A\d{3}\Z}x ) { ($e, $n) = ($e*100, $n*100) ; last SWITCH } if ( $e =~ m{\A\d{5}\Z}x && $n =~ m{\A\d{5}\Z}x ) { ($e, $n) = ($e*1, $n*1 ) ; last SWITCH } croak "I was expecting a grid reference, not this: @_"; } my $full_easting = _lr_to_full_grid($LR{$sheet}->[0], $e); my $full_northing = _lr_to_full_grid($LR{$sheet}->[1], $n); return ($full_easting, $full_northing) } sub _lr_to_full_grid { my ($lower_left_offset, $in_square_offset) = @_; my $lower_left_in_square = $lower_left_offset % 100_000; my $distance_from_lower_left = $in_square_offset - $lower_left_in_square; if ( $distance_from_lower_left < 0 ) { $distance_from_lower_left += 100_000; } if ( $distance_from_lower_left < 0 || $distance_from_lower_left >= LR_SHEET_SIZE ) { croak 'Grid reference not on sheet'; } return $lower_left_offset + $distance_from_lower_left; } sub parse_ISO_ll { my $iso_string = shift; return if !defined wantarray; my ($lat_sign, $lat_ip, $lat_fp, $lon_sign, $lon_ip, $lon_fp, $alt ) = $iso_string =~ $ISO_LL_PATTERN; if (! defined $lat_ip ) { croak "I can't parse an ISO 6709 lat/lon string from your input ($iso_string)" } # now check the integer parts are sensible lengths my $l_lat = length $lat_ip; my $l_lon = length $lon_ip; if ( $l_lat%2==1) { croak "Bad latitude in ISO 6709 string: $iso_string" } # must be even if ( $l_lon%2==0) { croak "Bad longitude in ISO 6709 string: $iso_string" } # must be odd if ( $l_lon-$l_lat!=1 ) { croak "Latitude and longitude values don't match: $iso_string" } # must differ by 1 my ($lat, $lon) = (0,0); $lat_fp = (defined $lat_fp) ? ".$lat_fp" : q{}; $lon_fp = (defined $lon_fp) ? ".$lon_fp" : q{}; if ( $l_lat == 2 ) { $lat = $lat_ip.$lat_fp; $lon = $lon_ip.$lon_fp; } elsif ( $l_lat == 4 ) { $lat = substr($lat_ip,0,2) + ( substr($lat_ip,2,2) . $lat_fp ) / 60; $lon = substr($lon_ip,0,3) + ( substr($lon_ip,3,2) . $lon_fp ) / 60; } else { $lat = substr($lat_ip,0,2) + substr($lat_ip,2,2)/60 + ( substr($lat_ip,4,2) . $lat_fp )/3600; $lon = substr($lon_ip,0,3) + substr($lon_ip,3,2)/60 + ( substr($lon_ip,5,2) . $lon_fp )/3600; } croak 'Latitude cannot exceed 90 degrees' if $lat > 90; croak 'Longitude cannot exceed 180 degrees' if $lon > 180; $lat = $lat_sign . $lat; $lon = $lon_sign . $lon; return ($lat, $lon, $alt) if wantarray; return format_ll_ISO($lat,$lon); } # Latitude and Longitude in Degrees: # sDD.DDDDsDDD.DDDD/ (eg +12.345-098.765/) # Latitude and Longitude in Degrees and Minutes: # sDDMM.MMMMsDDDMM.MMMM/ (eg +1234.56-09854.321/) # Latitude and Longitude in Degrees, Minutes and Seconds: # sDDMMSS.SSSSsDDDMMSS.SSSS/ (eg +123456.7-0985432.1/) # # where: # # sDD = three-digit integer degrees part of latitude (through -90 ~ -00 ~ +90) # sDDD = four-digit integer degrees part of longitude (through -180 ~ -000 ~ +180) # MM = two-digit integer minutes part (00 through 59) # SS = two-digit integer seconds part (00 through 59) # .DDDD = variable-length fraction part in degrees # .MMMM = variable-length fraction part in minutes # .SSSS = variable-length fraction part in seconds # # * Latitude is written in the first, and longitude is second. # * The sign is always necessary for each value. # Latitude : North="+" South="-" # Longitude: East ="+" West ="-" # * The integer part is a fixed length respectively. # And padding character is "0". # (Note: Therefor, it is shown explicitly that the first is latitude and the second is # longitude, from the number of figures of the integer part.) # * It is variable-length below the decimal point. # * "/"is a terminator. # # Altitude can be added optionally. # Latitude, Longitude (in Degrees) and Altitude: # sDD.DDDDsDDD.DDDDsAAA.AAA/ (eg +12.345-098.765+15.9/) # Latitude, Longitude (in Degrees and Minutes) and Altitude: # sDDMM.MMMMsDDDMM.MMMMsAAA.AAA/ (eg +1234.56-09854.321+15.9/) # Latitude, Longitude (in Degrees, Minutes and Seconds) and Altitude: # sDDMMSS.SSSSsDDDMMSS.SSSSsAAA.AAA/ (eg +123456.7-0985432.1+15.9/) # # where: # # sAAA.AAA = variable-length altitude in meters [m]. # # * The unit of altitude is meter [m]. # * The integer part and the fraction part of altitude are both variable-length. # sub format_ll_trad { my ($lat, $lon) = @_; my ($lad, $lam, $las, $is_north) = _dms($lat); my $lah = $is_north ? 'N' : 'S'; my ($lod, $lom, $los, $is_east ) = _dms($lon); my $loh = $is_east ? 'E' : 'W'; if (! defined wantarray ) { return } if ( wantarray ) { return ($lah, $lad, $lam, $las, $loh, $lod, $lom, $los) } return sprintf '%s%d:%02d:%02d %s%d:%02d:%02d', $lah, $lad, $lam, $las, $loh, $lod, $lom, $los; } sub _dms { my $dd = shift; my $is_positive = ($dd>=0); $dd = abs $dd; my $d = int $dd; $dd = $dd-$d; my $m = int $dd*60; $dd = $dd-$m/60; my $s = $dd*3600; return $d, $m, $s, $is_positive; } sub format_ll_ISO { my ($lat, $lon, $option) = @_; return if !defined wantarray; my ($lasign, $lad, $lam, $las) = _get_sdms($lat); my ($losign, $lod, $lom, $los) = _get_sdms($lon); # return d m and s if specifically requested with "SECONDS" option if (defined $option && (uc($option) eq 'SECONDS')) { if (wantarray) { return ($lasign, $lad, $lam, $las, $losign, $lod, $lom, $los) } return sprintf '%s%02d%02d%02d%s%03d%02d%02d/', $lasign, $lad, $lam, $las, $losign, $lod, $lom, $los; } # otherwise round up to nearest minute ($lad, $lam) = _round_up($lad, $lam, $las); ($lod, $lom) = _round_up($lod, $lom, $los); if (wantarray) { return ($lasign ,$lad, $lam, $losign, $lod, $lom) } return sprintf '%s%02d%02d%s%03d%02d/', $lasign, $lad, $lam, $losign, $lod, $lom; } sub _round_up { my ($d, $m, $s) = @_; return ($d, $m) if $s<30; $m++; if ($m==60) { $m = 0; $d = $d+1; } return ($d, $m); } sub _get_sdms { my $r = shift; return if !defined wantarray; my $sign = $r>=0 ? q{+} : q{-}; $r = abs $r; my $deg = int $r; my $exact_minutes = 60*($r-$deg); my $whole_minutes = int $exact_minutes; my $exact_seconds = 60 * ($exact_minutes-$whole_minutes); my $whole_seconds = int 0.5+$exact_seconds; if ( $whole_seconds > 59) { $whole_minutes++; $whole_seconds=0; if ($whole_minutes > 59 ) { $deg++; $whole_minutes = 0; } } return ($sign, $deg, $whole_minutes, $whole_seconds); } my %parameters_for_datum = ( 'OSGB36' => [ 573.604, 0.119600236/10000, 375, -111, 431 ], 'OSGM02' => [ 573.604, 0.119600236/10000, 375, -111, 431 ], ); sub shift_ll_from_WGS84 { my ($lat, $lon, $elevation) = @_; if ( ! defined $elevation ) { $elevation = 0 } my $parameter_ref = $parameters_for_datum{'OSGM02'}; my $target_da = -1 * $parameter_ref->[0]; my $target_df = -1 * $parameter_ref->[1]; my $target_dx = -1 * $parameter_ref->[2]; my $target_dy = -1 * $parameter_ref->[3]; my $target_dz = -1 * $parameter_ref->[4]; my $reference_major_axis = WGS84_MAJOR_AXIS; my $reference_flattening = WGS84_FLATTENING; return _transform($lat, $lon, $elevation, $reference_major_axis, $reference_flattening, $target_da, $target_df, $target_dx, $target_dy, $target_dz); } sub shift_ll_into_WGS84 { my ($lat, $lon, $elevation) = @_; if ( ! defined $elevation ) { $elevation = 0 } my $parameter_ref = $parameters_for_datum{'OSGM02'}; my $target_da = $parameter_ref->[0]; my $target_df = $parameter_ref->[1]; my $target_dx = $parameter_ref->[2]; my $target_dy = $parameter_ref->[3]; my $target_dz = $parameter_ref->[4]; my $reference_major_axis = WGS84_MAJOR_AXIS - $target_da; my $reference_flattening = WGS84_FLATTENING - $target_df; return _transform($lat, $lon, $elevation, $reference_major_axis, $reference_flattening, $target_da, $target_df, $target_dx, $target_dy, $target_dz); } sub _transform { return if !defined wantarray; my $lat = shift; my $lon = shift; my $elev = shift || 0; # in case $elevation was passed as undef my $from_a = shift; my $from_f = shift; my $da = shift; my $df = shift; my $dx = shift; my $dy = shift; my $dz = shift; my $sin_lat = sin( $lat * RAD ); my $cos_lat = cos( $lat * RAD ); my $sin_lon = sin( $lon * RAD ); my $cos_lon = cos( $lon * RAD ); my $b_a = 1 - $from_f; my $e_sq = $from_f*(2-$from_f); my $ecc = 1 - $e_sq*$sin_lat*$sin_lat; my $secc = sqrt $ecc; my $rn = $from_a / $secc; my $rm = $from_a * (1-$e_sq) / ($ecc*$secc); my $d_lat = ( - $dx*$sin_lat*$cos_lon - $dy*$sin_lat*$sin_lon + $dz*$cos_lat + $da*($rn*$e_sq*$sin_lat*$cos_lat)/$from_a + $df*($rm/$b_a + $rn*$b_a)*$sin_lat*$cos_lat ) / ($rm + $elev); my $d_lon = ( - $dx*$sin_lon + $dy*$cos_lon ) / (($rn+$elev)*$cos_lat); my $d_elev = + $dx*$cos_lat*$cos_lon + $dy*$cos_lat*$sin_lon + $dz*$sin_lat - $da*$from_a/$rn + $df*$b_a*$rn*$sin_lat*$sin_lat; my ($new_lat, $new_lon, $new_elev) = ( $lat + $d_lat * DAR, $lon + $d_lon * DAR, $elev + $d_elev, ); return ($new_lat, $new_lon, $new_elev) if wantarray; return sprintf '%s, (%s m)', format_ll_ISO($new_lat, $new_lon), $new_elev; } 1; __END__ =head1 NAME Geo::Coordinates::OSGB - Convert coordinates between Lat/Lon and the British National Grid An implementation of co-ordinate conversion for England, Wales, and Scotland based on formulae published by the Ordnance Survey of Great Britain. These modules will convert accurately between an OSGB national grid reference and lat/lon coordinates based on the OSGB geoid model. (For an explanation of what a geoid model is and why you should care, read the Theory section below.) The OSGB geoid model fits mainland Britain very well, but is rather different from the international WGS84 model that has rapidly become the de facto universal standard model thanks to the popularity of GPS devices and maps on the Internet. So, if you are trying to translate from an OSGB grid reference to lat/lon coordinates that can be used in Google Earth, Wikipedia, or some other Internet based tool, you will need to do two transformations: first translate your grid ref into OSGB lat/lon; then nudge the result into WGS84. Routines are provided to do both of these operations, but they are only approximate. The inaccuracy of the approximation varies according to where you are in the country but may be as much as several metres in some areas. To get more accurate results you need to combine this module with its companion L which implements the transformation that now defines the relationship between GPS survey data based on WGS84 and the British National Grid. Using this module you should be able to get results that are accurate to within a few centimetres, but it is slightly slower and requires more memory to run. Note that the OSGB (and therefore this module) does not cover the whole of the British Isles, nor even the whole of the UK, in particular it covers neither the Channel Islands nor Northern Ireland. The coverage that is included is essentially the same as the coverage provided by the OSGB "Landranger" 1:50000 series maps. =head1 VERSION Examine $Geo::Coordinates::OSGB::VERSION for details. =head1 SYNOPSIS use Geo::Coordinates::OSGB qw(ll_to_grid grid_to_ll); # Basic conversion routines ($easting,$northing) = ll_to_grid($lat,$lon); ($lat,$lon) = grid_to_ll($easting,$northing); =head1 DESCRIPTION These modules provide a collection of routines to convert between coordinates expressed as latitude & longtitude and map grid references, using the formulae given in the British Ordnance Survey's excellent information leaflet, referenced below in the Theory section. There are some key concepts explained in that section that you need to know in order to use these modules successfully, so you are recommended to at least skim through it now. The module is implemented purely in Perl, and should run on any Perl platform. In this description `OS' means `the Ordnance Survey of Great Britain': the British government agency that produces the standard maps of England, Wales, and Scotland. Any mention of `sheets' or `maps' refers to one or more of the 204 sheets in the 1:50,000 scale `Landranger' series of OS maps. This code is fine tuned to the British national grid system. You could use it elsewhere but you would need to adapt it. Some starting points for doing this are explained in the L section below. =head1 SUBROUTINES/METHODS The following functions can be exported from the C module: grid_to_ll ll_to_grid shift_ll_into_WGS84 shift_ll_from_WGS84 parse_grid parse_trad_grid format_grid_trad parse_GPS_grid format_grid_GPS parse_landranger_grid format_grid_landranger parse_ISO_ll format_ll_trad format_ll_ISO None of these is exported by default, so pick the ones you want or use an C<:all> tag to import them all at once. use Geo::Coordinates::OSGB ':all'; =over 4 =item ll_to_grid(lat,lon) When called in a void context, or with no arguments C does nothing. When called in a list context, C returns two numbers that represent the easting and the northing corresponding to the latitude and longitude supplied. The parameters can be supplied as real numbers representing decimal degrees, like this my ($e,$n) = ll_to_grid(51.5, 2.1); Following the normal convention, positive numbers mean North or East, negative South or West. If you have data with degrees, minutes and seconds, you can convert them to decimals like this: my ($e,$n) = ll_to_grid(51+25/60, 0-5/60-2/3600); Or you can use a single string in ISO 6709 form, like this: my ($e,$n) = ll_to_grid('+5130-00005/'); To learn exactly what is matched by this last option, read the source of the module and look for the definition of C<$ISO_LL_PATTERN>. Note that the neither the C<+> or C<-> signs at the beginning and in the middle, nor the trailing C may be omitted. If you have trouble remembering the order of the arguments, or the returned values, note that latitude comes before longitude in the alphabet too, as easting comes before northing. The easting and northing will be returned as a whole number of metres from the point of origin of the British Grid (which is a point a little way to the south-west of the Scilly Isles). If you want the result presented in a more traditional grid reference format you should pass the results to one of the grid formatting routines, which are described below. Like this. $gridref = format_grid_trad(ll_to_grid(51.5,-0.0833)); $gridref = format_grid_GPS(ll_to_grid(51.5,-0.0833)); $gridref = format_grid_landranger(ll_to_grid(51.5,-0.0833)); However if you call C in a scalar context, it will automatically call C for you. It is not needed for any normal work, but C also takes an optional argument that sets the ellipsoid model to use. This normally defaults to `OSGB36', the name of the normal model for working with British maps. If you are working with the highly accurate OSTN02 conversions supplied in the companion module in this distribution, then you will need to produce pseudo-grid references as input to those routines. For these purposes you should call C like this: my $pseudo_gridref = ll_to_grid(51.2, -0.4, 'WGS84'); and then transform this to a real grid reference using C from the companion module. This is explained in more detail below. =item format_grid_trad(e,n) Formats an (easting, northing) pair into traditional `full national grid reference' with two letters and two sets of three numbers, like this `TQ 102 606'. If you want to remove the spaces, just apply C to it. $gridref = format_grid_trad(533000, 180000); # TQ 330 800 $gridref =~ s/\s//g; # TQ330800 If you want the individual components call it in a list context. ($sq, $e, $n) = format_grid_trad(533000, 180000); # (TQ,330,800) Note the easting and northing are truncated to hectometers (as the OS system demands), so the grid reference refers to the lower left corner of the relevant 100m square. =item format_grid_GPS(e,n) Users who have bought a GPS receiver may initially have been puzzled by the unfamiliar format used to present coordinates in the British national grid format. On my Garmin Legend C it shows this sort of thing in the display. TQ 23918 bng 00972 and in the track logs the references look like this C. These are just the same as the references described on the OS sheets, except that the units are metres rather than hectometres, so you get five digits in each of the easting and northings instead of three. So in a scalar context C returns a string like this: $gridref = format_grid_GPS(533000, 180000); # TQ 33000 80000 If you call it in a list context, you will get a list of square, easting, and northing, with the easting and northing as metres within the grid square. ($sq, $e, $n) = format_grid_GPS(533000, 180000); # (TQ,33000,80000) Note that, at least until WAAS is working in Europe, the results from your GPS are unlikely to be more accurate than plus or minus 5m even with perfect reception. Most GPS devices can display the accuracy of the current fix you are getting, but you should be aware that all normal consumer-level GPS devices can only ever produce an approximation of an OS grid reference, no matter what level of accuracy they may display. The reasons for this are discussed below in the section on L. =item format_grid_landranger(e,n) This routine does the same as C, but it appends the number of the relevant OS Landranger 1:50,000 scale map to the traditional grid reference. Note that there may be several or no sheets returned. This is because many (most) of the Landranger sheets overlap, and many other valid grid references are not on any of the sheets (because they are in the sea or a remote island. This module does not yet cope with the detached insets on some sheets. In a list context you will get back a list like this: (square, easting, northing, sheet) or (square, easting, northing, sheet1, sheet2) etc. There are a few places where three sheets overlap, and one corner of Herefordshire which appears on four maps (sheets 137, 138, 148, and 149). If the GR is not on any sheet, then the list of sheets will be empty. In a scalar context you will get back the same information in a helpful string form like this "NN 241 738 on OS Sheet 44". Note that the easting and northing will have been truncated to the normal hectometre three digit form. The idea is that you'll use this form for people who might actually want to look up the grid reference on the given map sheet, and the traditional GR form is quite enough accuracy for that purpose. =item parse_trad_grid(grid_ref) Turns a traditional grid reference into a full easting and northing pair in metres from the point of origin. The I can be a string like C<'TQ203604'> or C<'SW 452 004'>, or a list like this C<('TV', '435904')> or a list like this C<('NN', '345', '208')>. =item parse_GPS_grid(grid_ref) Does the same as C but is looking for five digit numbers like C<'SW 45202 00421'>, or a list like this C<('NN', '34592', '20804')>. =item parse_landranger_grid(sheet, e, n) This converts an OS Landranger sheet number and a local grid reference into a full easting and northing pair in metres from the point of origin. The OS Landranger sheet number should be between 1 and 204 inclusive (but I may extend this when I support insets). You can supply C<(e,n)> as 3-digit hectometre numbers or 5-digit metre numbers. In either case if you supply any leading zeros you should 'quote' the numbers to stop Perl thinking that they are octal constants. This module will croak at you if you give it an undefined sheet number, or if the grid reference that you supply does not exist on the sheet. In order to get just the coordinates of the SW corner of the sheet, just call it with the sheet number. It is easy to work out the coordinates of the other corners, because all OS Landranger maps cover a 40km square (if you don't count insets or the occasional sheet that includes extra details outside the formal margin). =item parse_grid(grid_ref) Attempts to match a grid reference some form or other in the input string and will then call the appropriate grid parsing routine from those defined above. In particular it will parse strings in the form C<'176-345210'> meaning grid ref 345 210 on sheet 176, as well as C<'TQ345210'> and C<'TQ 34500 21000'> etc. You can in fact always use "parse_grid" instead of the more specific routines unless you need to be picky about the input. =item grid_to_ll(e,n) or grid_to_ll(grid_ref) When called in list context C returns a pair of numbers representing longitude and latitude coordinates, as real numbers. Following convention, positive numbers are North and East, negative numbers are South and West. The fractional parts of the results represent fractions of degrees. When called in scalar context it returns a string in ISO longitude and latitude form, such as C<'+5025-00403/'> with the result rounded to the nearest minute (the formulae are not much more accurate than this). In a void context it does nothing. The arguments must be an (easting, northing) pair representing the absolute grid reference in metres from the point of origin. You can get these from a grid reference string by calling C first. An optional last argument defines the geoid model to use just as it does for C. This is only necessary is you are working with the pseudo-grid references produced by the OSTN02 routines. See L for more discussion. =item format_ll_trad(lat, lon) Takes latitude and longitude in decimal degrees as arguments and returns a string like this N52:12:34 W002:30:27 In a list context it returns all 8 elements (hemisphere, degrees, minutes, seconds for each of lat and lon) in a list. In a void context it does nothing. =item format_ll_ISO(lat, lon) Takes latitude and longitude in decimal degrees as arguments and returns a string like this +5212-00230/ In a list context it returns all 6 elements (sign, degrees, minutes for each of lat and lon) in a list. In a void context it does nothing. =item parse_ISO_ll(ISO_string) Reads an ISO 6709 formatted location identifier string such as '+5212-00230/'. To learn exactly what is matched by this last option, read the source of the module and look for the definition of C<$ISO_LL_PATTERN>. Note that the neither the C<+> or C<-> signs at the beginning and in the middle, nor the trailing C may be omitted. These strings can also include the altitude of a point, in metres, like this: '+5212-00230+140/'. If you omit the altitude, 0 is assumed. In a list context it returns ($lat, $lon, $altitude). So if you don't want or don't need the altitude, you should just drop it, for example like this: my ($lat, $lon) = parse_ISO_ll('+5212-00230/') In normal use you won't notice this. In particular you don't need to worry about it when passing the results on to C, as that routine looks for an optional altitude after the lat/lon. =item shift_ll_from_WGS84(lat, lon, altitude) Takes latitude and longitude in decimal degrees (plus an optional altitude in metres) from a WGS84 source (such as your GPS handset or Google Earth) and returns an approximate equivalent latitude and longitude according to the OSGM02 model. To determine the OSGB grid reference for given WGS84 lat/lon coordinates, you should call this before you call C. Like so: ($lat, $lon, $alt) = shift_ll_from_WGS84($lat, $lon, $alt); ($e, $n) = ll_to_grid($lat,$lon); You don't need to call this to determine a grid reference from lat/lon coordinates printed on OSGB maps (the so called "graticule intersections" marked in pale blue on the Landranger series). This routine provide a fast approximation; for a slower, more accurate approximation use the companion L modules. =item shift_ll_into_WGS84(lat, lon, altitude) Takes latitude and longitude in decimal degrees (plus an optional altitude in metres) from an OSGB source (such as coordinates you read from a Landranger map, or more likely coordinates returned from C) and adjusts them to fit the WGS84 model. To determine WGS84 lat/lon coordinates (for use in Wikipedia, or Google Earth etc) for a given OSGB grid reference, you should call this after you call C. Like so: ($lat, $lon) = grid_to_ll($e, $n); ($lat, $lon, $alt) = shift_ll_into_WGS84($lat, $lon, $alt); This routine provide a fast approximation; for a slower, more accurate approximation use the companion L modules. =back =head1 THEORY The algorithms and theory for these conversion routines are all from I published by the OSGB, April 1999 (Revised Dec 2010) and available at http://www.ordnancesurvey.co.uk/. You may also like to read some of the other introductory material there. Should you be hoping to adapt this code to your own custom Mercator projection, you will find the paper called I, especially useful. The routines are intended for use in Britain with the Ordnance Survey's National Grid, however they are written in an entirely generic way, so that you could adapt them to any other ellipsoid model that is suitable for your local area of the earth. There are other modules that already do this that may be more suitable (which are referenced in the L section), but the key parameters are all defined at the top of the module. $ellipsoid_shapes{OSGB36} = [ 6377563.396, 6356256.910 ]; use constant ORIGIN_LONGITUDE => RAD * -2; # lon of grid origin use constant ORIGIN_LATITUDE => RAD * 49; # lat of grid origin use constant ORIGIN_EASTING => 400000; # Easting for origin use constant ORIGIN_NORTHING => -100000; # Northing for origin use constant CONVERGENCE_FACTOR => 0.9996012717; # Convergence factor The ellipsoid model is defined by two numbers that represent the major and minor radius measured in metres. The Mercator grid projection is then defined by the other five parameters. The general idea is that you pick a suitable point to start the grid that minimizes the inevitable distortion that is involved in a Mercator projection from spherical to Euclidean coordinates. Such a point should be on a meridian that bisects the area of interest and is nearer to the equator than the whole area. So for Britain the point of origin is 2W and 49N (in the OSGB geoid model) which is near the Channel Islands. This point should be set as the C and C parameters (as above) measured in radians. Having this True Point of Origin in the middle and below (or above if you are antipodean) minimizes distortion but means that some of the grid values would be negative unless you then also adjust the grid to make sure you do not get any negative values in normal use. This is done by defining the grid coordinates of the True Point of Origin to be such that all the coordinates in the area of interest will be positive. These are the parameters C and C. For Britain the coordinates are set as 400000 and -100000, so the that point (0,0) in the grid is just to the south west of the Scilly Isles. This (0,0) point is called the False Point of Origin. The fifth parameter affects the convergence of the Mercator projection as you get nearer the pole; this is another feature designed to minimize distortion, and if in doubt set it to 1 (which means it has no effect). For Britain, being so northerly it is set to slightly less than 1. =head2 The British National Grid One consequence of the True Point of Origin of the British Grid being set to C<+4900-00200/> is that all the vertical grid lines are parallel to the 2W meridian; you can see this on the appropriate OS maps (for example Landranger sheet 184), or on the C picture supplied with this package. The effect of moving the False Point of Origin to the far south west is that all grid references always positive. Strictly grid references are given as whole numbers of metres from this point, with the easting always given before the northing. For everyday use however, the OSGB suggest that grid references need only to be given within the local 100km square as this makes the numbers smaller. For this purpose they divide Britain into a series of 100km squares identified in pair of letters: TQ, SU, ND, etc. The grid of the big squares actually used is something like this: HP HU HY NA NB NC ND NF NG NH NJ NK NL NM NN NO NP NR NS NT NU NW NX NY NZ SC SD SE TA SH SJ SK TF TG SM SN SO SP TL TM SR SS ST SU TQ TR SV SW SX SY SZ TV SW covers most of Cornwall, TQ London, and HU the Shetlands. Note that it has the neat feature that N and S are directly above each other, so that most Sx squares are in the south and most Nx squares are in the north. Within each of these large squares, we only need five digit coordinates --- from (0,0) to (99999,99999) --- to refer to a given square metre. For daily use however we don't generally need such precision, so the normal recommended usage is to use units of 100m (hectometres) so that we only need three digits for each easting and northing --- 000,000 to 999,999. If we combine the easting and northing we get the familiar traditional six figure grid reference. Each of these grid references is repeated in each of the large 100km squares but for local use with a particular map, this does not usually matter. Where it does matter, the OS suggest that the six figure reference is prefixed with the identifier of the large grid square to give a `full national grid reference', such as TQ330800. This system is described in the notes of in the corner of every Landranger 1:50,000 scale map. Modern GPS receivers can all display coordinates in the OS grid system. You just need to set the display units to be `British National Grid' or whatever similar name is used on your unit. Most units display the coordinates as two groups of five digits and a grid square identifier. The units are metres within the grid square (although beware that the GPS fix is unlikely to be accurate down to the last metre). =head2 Geoid models This section explains the fundamental problems of mapping a spherical earth onto a flat piece of paper (or computer screen). A basic understanding of this material will help you use these routines more effectively. It will also provide you with a good store of ammunition if you ever get into an argument with someone from the Flat Earth Society. It is a direct consequence of Newton's law of universal gravitation (and in particular the bit that states that the gravitational attraction between two objects varies inversely as the square of the distance between them) that all planets are roughly spherical. (If they were any other shape gravity would tend to pull them into a sphere). On the other hand, most useful surfaces for displaying large scale maps (such as pieces of paper or screens) are flat. There is therefore a fundamental problem in making any maps of the earth that its curved surface being mapped must be distorted at least slightly in order to get it to fit onto the flat map. This module sets out to solve the corresponding problem of converting latitude and longitude coordinates (designed for a spherical surface) to and from a rectangular grid (for a flat surface). This projection is in itself is a fairly lengthy bit of maths, but what makes it extra complicated is that the earth is not quite a sphere. Because our planet spins about a vertical axis, it tends to bulge out slightly in the middle, so it is more of an oblate spheroid than a sphere. This makes the maths even longer, but the real problem is that the earth is not a regular oblate spheroid either, but an irregular lump that closely resembles an oblate spheroid and which is constantly (if slowly) being rearranged by plate tectonics. So the best we can do is to pick an imaginary regular oblate spheroid that provides a good fit for the region of the earth that we are interested in mapping. The British Ordnance Survey did this back in 1830 and have used it ever since as the base on which the National Grid for Great Britain is constructed. You can also call an oblate spheroid an ellipsoid if you like. The general term for an ellipsoid model of the earth is a "geoid". The first standard OSGB geoid is known as "Airy 1830" after the year of its first development. It was revised in 1936, and that version, generally known as OSGB36, is the basis of all current OSGB mapping. In 2002 the model was redefined (but not functionally changed) as a transformation from the international geoid model WGS84. This redefinition is called OSGM02. For the purposes of these modules (and most other purposes) OSGB36 and OSGM02 may be treated as synonyms. The general idea is that you can establish your latitude and longitude by careful observation of the sun, the moon, the planets, or your GPS handset, and that you then do some clever maths to work out the corresponding grid reference using a suitable geoid. These modules let you do the clever maths, and the geoid they use is the OSGM02 one. This model provides a good match to the local shape of the Earth in the British Isles, but is not designed for use in the rest of the world; there are many other models in use in other countries. In the mid-1980s a new standard geoid model was defined to use with the fledgling global positioning system (GPS). This model is known as WGS84, and is designed to be a compromise model that works equally well for all parts of the globe (or equally poorly depending on your point of view --- for one thing WGS84 defines the Greenwich observatory in London to be not quite on the zero meridian). Nevertheless WGS84 has grown in importance as GPS systems have become consumer items and useful global mapping tools (such as Google Earth) have become freely available through the Internet. Most latitude and longitude coordinates quoted on the Internet (for example in Wikipedia) are WGS84 coordinates. One thing that should be clear from the theory is that there is no such thing as a single definitive set of coordinates for every unique spot on earth. There are only approximations based on one or other of the accepted geoid models, however for most practical purposes good approximations are all you need. In Europe the official definition of WGS84 is sometime referred to as ETRS89. For all practical purposes in Western Europe the OS advise that one can regard ETRS89 as identical to WGS84 (unless you need to worry about tectonic plate movements). =head2 Practical implications If you are working exclusively with British OS maps and you merely want to convert from the grid to the latitude and longitude coordinates printed (as faint blue crosses) on those maps, then all you need from these modules are the plain C and C routines. On the other hand if you want to produce latitude and longitude coordinates suitable for Google Earth or Wikipedia from a British grid reference, then you need an extra step. Convert your grid reference using C and then shift it from the OSGB model to the WGS84 model using C. To go the other way round, shift your WGS84 lat/lon coordinated into OSGB, using C, before you convert them using C. If you have a requirement for really accurate work (say to within a millimetre or two) then you need to use the OS's transformation matrix called OSTN02. This monumental work published in 2002 re-defined the British grid in terms of offsets from WGS84 to allow really accurate grid references to be determined from really accurate GPS readings (the sort you get from professional fixed base stations, not from your car's sat nav or your hand-held device). The problem with it is that it defines the grid in terms of a deviation in three dimensions from a pseudo-grid based on WGS84 and it does this separately for every square km of the country, so the data set is huge and takes a second or two to load even on a fast machine. Nevertheless a Perl version of OSTN02 is included as a separate module in this distribution just in case you really need it (but you don't need it for any "normal" work). Because of the way OSTN02 is defined, the sequence of conversion and shifting works differently from the approximate routines described above. Starting with a really accurate lat/lon reading in WGS84 terms, you need to transform it into a pseudo-grid reference using C using an optional argument to tell it to use the WGS84 geoid parameters instead of the default OSGB parameters. The L package provides a routine called C which will shift this pseudo-grid reference into an accurate OSGB grid reference. To go back the other way, you use C to make a pseudo-grid reference, and then call C with the WGS84 parameter to get WGS84 lat/long coordinates. ($lat, $lon, $height) = (51.5, -1, 10); ($x, $y) = ll_to_grid($lat, $lon, 'WGS84'); ($e, $n, $elevation) = ETRS89_to_OSGB36($x, $y, $height); ($x, $y, $z) = OSGB36_to_ETRS89($e, $n, $elevation); ($lat, $lon) = grid_to_ll($x, $y, 'WGS84'); =head1 EXAMPLES # to import everything try... use Geo::Coordinates::OSGB ':all'; # Get full coordinates in metres from GR ($e,$n) = parse_trad_grid('TQ 234 098'); # Latitude and longitude according to the OSGB geoid (as # printed on OS maps), if you want them to work in Google # Earth or some other tool that uses WGS84 then adjust results ($lat, $lon) = grid_to_ll($e, $n); ($lat, $lon, $alt) = shift_ll_into_WGS84($lat, $lon, $alt); # and to go the other way ($lat, $lon, $alt) = shift_ll_from_WGS84($lat, $lon, $alt); ($e, $n) = ll_to_grid($lat,$lon); # In both cases the elevation is in metres (default=0m) # Reading and writing grid references # Format full easting and northing into traditional formats $gr1 = format_grid_trad($e, $n); # "TQ 234 098" $gr1 =~ s/\s//g; # "TQ234098" $gr2 = format_grid_GPS($e, $n); # "TQ 23451 09893" $gr3 = format_grid_landranger($e, $n);# "TQ 234 098 on Sheet 176" # or call in list context to get the individual parts ($sq, $e, $n) = format_grid_trad($e, $n); # ('TQ', 234, 98) # parse routines to convert from these formats to full e,n ($e,$n) = parse_grid('TQ 234 098'); ($e,$n) = parse_grid('TQ234098'); # spaces optional ($e,$n) = parse_grid('TQ',234,98); # or even as a list ($e,$n) = parse_grid('TQ 23451 09893'); # as above.. # You can also get grid refs from individual maps. # Sheet between 1..204; gre & grn must be 3 or 5 digits long ($e,$n) = parse_grid(176,123,994); # With just the sheet number you get GR for SW corner ($e,$n) = parse_grid(184); # Reading and writing lat/lon coordinates ($lat, $lon) = parse_ISO_ll("+52-002/"); $iso = format_ll_ISO($lat,$lon); # "+520000-0020000/" $str = format_ll_trad($lat,$lon); # "N52:00:00 W002:00:00" =head1 BUGS AND LIMITATIONS The conversions are only approximate. So after ($a1,$b1) = grid_to_ll(ll_to_grid($a,$b)); neither C<$a==$a1> nor C<$b==$b1>. However C and C should be less than C<0.00001> which will give you accuracy to within a metre. In the middle of the grid 0.00001 degrees is approximately 1 metre. Note that the error increases the further away you are from the central meridian of the grid system. The C does not take account of inset areas on the sheets. So if you feed it a reference for the Scilly Isles, it will tell you that the reference is not on any Landranger sheet, whereas in fact the Scilly Isles are on an inset in the SW corner of Sheet 203. There is nothing in the design that prevents me adding the insets, they just need to be added as extra sheets with names like "Sheet 2003 Inset 1" with their own reference points and special sheet sizes. Collecting the data is another matter. Not enough testing has been done. I am always grateful for the feedback I get from users, but especially for problem reports that help me to make this a better module. =head1 DIAGNOSTICS Should this software not do what you expect, then please first read this documentation, secondly verify that you have installed it correctly and that it passes all the installation tests on your set up, thirdly study the source code to see what it's supposed to be doing, fourthly get in touch to ask me about it. =head1 CONFIGURATION AND ENVIRONMENT There is no configuration required either of these modules or your environment. It should work on any recent version of perl, on any platform. =head1 DEPENDENCIES None. =head1 INCOMPATIBILITIES None known. =head1 LICENSE AND COPYRIGHT Copyright (C) 2002-2013 Toby Thurston OSTN02 transformation data is freely available but remains Crown Copyright (C) 2002 This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself. =head1 AUTHOR Toby Thurston -- 04 Oct 2013 toby@cpan.org =head1 SEE ALSO The UK Ordnance Survey's theory paper referenced above. See L for a general approach (not based on the above paper). See L for a French approach. =cut Geo-Coordinates-OSGB-2.06/lib/Geo/Coordinates/OSTN02.pm000644 000765 000024 00026376174 12223515341 022340 0ustar00tobystaff000000 000000 package Geo::Coordinates::OSTN02; use base qw(Exporter); use strict; use warnings; use Carp; our $VERSION = '2.06'; our @EXPORT_OK = qw( OSGB36_to_ETRS89 ETRS89_to_OSGB36 ); use constant MAX_EASTING => 700000; use constant MAX_NORTHING => 1250000; use constant MIN_X_SHIFT => 86.275; use constant MIN_Y_SHIFT => -81.603; use constant MIN_Z_SHIFT => 43.982; use constant EPSILON => 0.00001; our @ostn_data = ; # load all the data from below our %ostn_shift_for=(); sub ETRS89_to_OSGB36 { return if !defined wantarray; my ($x, $y, $z ) = (@_, 0); if ( 0 <= $x && $x <= MAX_EASTING && 0 <= $y && $y <= MAX_NORTHING ) { my ($dx, $dy, $dz) = _find_OSTN02_shifts_at($x,$y); ($x, $y, $z) = _round_to_nearest_mm($x+$dx, $y+$dy, $z-$dz); # note $z sign differs } else { carp "[OSTN02 is not defined at ($x, $y), coordinates unchanged]"; } return ($x, $y, $z) if wantarray; return "$x $y $z"; } sub OSGB36_to_ETRS89 { return if !defined wantarray; my ($x0, $y0, $z0) = (@_, 0); my ($dx, $dy, $dz) = _find_OSTN02_shifts_at($x0,$y0); my ($x, $y, $z ) = ($x0-$dx, $y0-$dy, $z0+$dz); my ($last_dx, $last_dy) = ($dx, $dy); APPROX: while (1) { ($dx, $dy, $dz) = _find_OSTN02_shifts_at($x,$y); ($x, $y) = ($x0-$dx, $y0-$dy); last APPROX if abs($dx-$last_dx)[0] + $f1*$s1_ref->[0] + $f2*$s2_ref->[0] + $f3*$s3_ref->[0]; my $sn = $f0*$s0_ref->[1] + $f1*$s1_ref->[1] + $f2*$s2_ref->[1] + $f3*$s3_ref->[1]; my $sg = $f0*$s0_ref->[2] + $f1*$s1_ref->[2] + $f2*$s2_ref->[2] + $f3*$s3_ref->[2]; if ($se*$sn*$sg==0) { carp "[OSTN02 defined as zeros at ($x, $y), coordinates unchanged]"; } return ($se, $sn, $sg); } sub _get_ostn_ref { my $x = shift; my $y = shift; my $key = sprintf "%03x%03x", $y, $x; return $ostn_shift_for{$key} if exists $ostn_shift_for{$key}; my $lo = 0; my $hi = @ostn_data-1; my $mid; while ($lo<=$hi) { $mid = int(($hi+$lo)/2); # warn "$key -> $lo $mid $hi\n"; my $k = substr($ostn_data[$mid],0,6); my @data = map { hex($_)/1000 } ( substr($ostn_data[$mid], 6,4), substr($ostn_data[$mid],10,4), substr($ostn_data[$mid],14,4) ); $data[0] += MIN_X_SHIFT; $data[1] += MIN_Y_SHIFT; $data[2] += MIN_Z_SHIFT; $ostn_shift_for{$k} = \@data; if ( $k lt $key ) { $lo = $mid+1 } elsif ( $k gt $key ) { $hi = $mid-1 } else { return $ostn_shift_for{$k}; } } # since we leave out all the zeros in the data set to save space, we might run off the bottom # and so we need to return zeros here my @data = (0,0,0); return $ostn_shift_for{$key} = \@data; } 1; =pod =head1 NAME Geo::Coordinates::OSTN02 - An implementation of the OSGB's OSTN02 transformation =head1 SYNOPSIS use Geo::Coordinates::OSTN02 qw/OSGB36_to_ETRS89 ETRS89_to_OSGB36/; ($x, $y, $z) = OSGB36_to_ETRS89($e, $n, $h); ($e, $n, $h) = ETRS89_to_OSGB36($x, $y, $z); =head1 DESCRIPTION The purpose and use of these modules is described briefly in the companion L modules. In essence they implement in Perl the Ordnance Survey's OSTN02 transformation which is part of the current definition of the British National Grid. You are strongly recommended to read the official public guides and other introductory documents that are published by the Ordnance Survey of Great Britain with a wealth of other technical information about the OSTN02 transformation. =head1 FUNCTIONS The following functions can be exported from the C module: OSGB36_to_ETRS89 ETRS89_to_OSGB36 None is exported by default. =over 4 =item OSGB36_to_ETRS89(easting, northing, [elevation]) Transforms from normal OSGB36 grid references to a pseudo-grid based on the WGS84/ETRS89 geoid model, which can then be translated to lat/long coordinates using C with the 'WGS84' parameter. my $elevation = '100'; # in metres my ($e, $n) = parse_grid_trad('TQ304293'); my ($x, $y, $z) = OSGB36_to_ETRS89($e, $n, $elevation); my ($lat, $lon) = grid_to_ll($x, $y, 'ETRS89'); # or 'WGS84' Elevation will default to 0 metres if you omit it. =item ETRS89_to_OSGB36(x, y, [z]) Transforms WGS84/ETRS89 pseudo-grid coordinates into OSGB36 grid references. my ($lat, $lon, $height) = (51.5, -1, 10); # Somewhere in London my ($x, $y) = ll_to_grid($lat, $lon, 'ETRS89'); # or 'WGS84' my ($e, $n, $elevation) = ETRS89_to_OSGB36($x, $y, $height); =back =head1 IMPLEMENTATION NOTES Since 2002 the British Ordnance Survey have defined the UK national grid not as a projection from their own model of the earth (the Airy 1830 geoid, revised 1936, known as OSGB36), but as a simple table of calculated differences from a projection based on the European standard geoid ETRS89 (which is for Europe a functional equivalent of the international WGS84 geoid). This revision is known as OSGM02 and the transformation is called OSTN02. The idea is that you project your WGS84 latitude and longitude coordinates into WGS84 (or ETRS89) pseudo-grid references, and then look up the appropriate three dimensional correction in the OS table, and add the results to your grid reference to give you a standard British National Grid reference that you can use with British OS maps. Going back the other way is slightly more complicated, as you have to work backwards, but a simple iteration will do the job. This package implements these lookups and adjustments. You give it a three dimensional grid reference (easting, northing, and altitude, all in metres) and the package returns it corrected from one system to the other. The problem in the implementation is that the table is huge, and most of it is empty as the OS have chosen to leave the transformation undefined for areas that are off shore. So this package only works properly for grid references that are actually on one or more OS maps. The complete table (including all the 0 lines) contains nearly 1 million lines with six data points and a key. In text form as supplied by the OS that is about 36M bytes of table. By leaving out the lines where the transformation is undefined, omitting a couple of redundant fields, and storing everything as hex strings, this module brings the amount of data down to just over 6M bytes, which loads in about 1 second on my test system. It would be possible to compress the data down to 3M bytes by storing it as packed decimals, but then it would be difficult to include inline in this module, as it would break every time I edited it. The data is stored below, after the __DATA__ line. Each line is 18 bytes long and represents the transformation parameters for an individual grid square of 1km by 1km. Each line contains five fields all expressed as hexadecimal integers. Start Length Meaning 0 3 The northing of the square in km 3 3 The easting of the square in km 6 4 The x-offset in mm (easting) 10 4 The y-offset in mm (northing) 14 4 The z-offset in mm (elevation) To keep the numbers small and positive the values given for the offsets are actually the amount that they exceed the respective smallest values in the data set. Currently these minima are x: 86275mm, y: -81603mm, and z: 43982mm. So when we read a line from the data we have to add these minima to the values, convert to decimal, and multiply by 1000 to get back to metres. When you load the OSTN02 module, the first thing it does is to load all 309,798 lines into an array called @ostn_data by simply doing this. our @ostn_data = ; This is why it takes a few microseconds to load the module, but once loaded it's all very fast. When we need to find the data values for a given grid reference, we work out the appropriate grid square by truncating the easting and northing to the next lowest whole kilometer, and pass these as the argument to the C<_get_ostn_ref> subroutine. This is the only subroutine that actually touches the data. The core of the subroutine is a binary search. We work out the key by converting the northing and easting to hexadecimal and concatenating them. We add leading zeros so that each value is exactly three bytes long and the combined key is exactly six bytes long. The maximum value for easting in the OSGB grid is 700km and for northing 1250km, which are 2BC and 4E2, so each fits into three bytes. (And by the time this is called we have already checked that the values don't exceed the maxima). This works pretty quickly, the only slow bit is loading the array at the beginning, but it is much faster and needs *much* less memory than loading all the data into the hash. (This would be simpler, and is what the original version did, but it was too slow to be usable and meant that the tests failed on many smaller systems as part of CPAN testing). We do still use a hash, but only to cache lines that we've already found. Read the code for details. This only gives a tiny speed up in general, so I might remove it in future versions. Back in 2008, loading the array took about 1.2 seconds on my Windows machine (a 2.8G Hz Intel Pentium M processor with 2G byte of memory) and just under 0.5 seconds on my Linux system (a 2.8G Hz Intel Pentium 4 processor with 512M bytes of memory). I think that probably said more about speed of the disks I had (and probably the efficiency of Perl under Linux) back then. Today on my newish Mac Mini there is only a very slightly noticeable delay. Once the data is loaded, calling the routines is reasonably quick. =head1 BUGS Please report any to toby@cpan.org =head1 EXAMPLES See the test routines included in the distribution. =head1 AUTHOR Toby Thurston -- 04 Oct 2013 toby@cpan.org =head1 SEE ALSO See L for the main routines. =cut # leave blank lines here so that pod2html works properly __DATA__ 00004f15ed000023f2 00005015fc000623ec 000051160a000b23e7 000052161d001523e2 0000531631002223de 0000541645002e23da 0000551659003a23d7 000056166d004523d4 0000571680005123d1 0000581695005d23ce 00005916a9006a23c9 00005a16bd007623c5 00005b16d1008223c1 00005c16e8008d23bd 00005d1700009923b9 00005e171900a423b5 00005f173100af23af 000060174900bb23aa 000061176200c623a3 000062177a00d1239c 000063179300dd2396 00104e15de001823fa 00104f15ec001d23f2 00105015fb002223ec 0010511609002823e6 0010521619002e23e1 001053162c003a23dc 0010541640004623d8 0010551655005223d5 0010561669005e23d2 001057167c006a23ce 0010581691007723cb 00105916a5008223c6 00105a16b8008e23c2 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