From a3e500ffc490bb890ff53ebcb13da8efb9f6ee20 Mon Sep 17 00:00:00 2001 From: mehbark Date: Sun, 26 Mar 2023 23:33:41 -0400 Subject: [PATCH] i am a git main --- COPYING | 674 ++++++++++++++ Makefile | 22 + all-fate-data.cc | 2148 +++++++++++++++++++++++++++++++++++++++++++ chess.js | 1789 ++++++++++++++++++++++++++++++++++++ chess.ts | 2292 ++++++++++++++++++++++++++++++++++++++++++++++ chessfont.png | Bin 0 -> 4977 bytes favicon.ico | Bin 0 -> 176816 bytes favicon.png | Bin 0 -> 1791 bytes index.html | 122 +++ main.css | 0 main.js | 706 ++++++++++++++ main.ts | 858 +++++++++++++++++ paper-ideas.txt | 16 + paper/paper.aux | 19 + paper/paper.log | 308 +++++++ paper/paper.out | 0 paper/paper.pdf | Bin 0 -> 175758 bytes paper/paper.tex | 80 ++ piece-bb.png | Bin 0 -> 594 bytes piece-bk.png | Bin 0 -> 644 bytes piece-bn.png | Bin 0 -> 631 bytes piece-bp.png | Bin 0 -> 563 bytes piece-bq.png | Bin 0 -> 734 bytes piece-br.png | Bin 0 -> 533 bytes piece-wb.png | Bin 0 -> 518 bytes piece-wk.png | Bin 0 -> 560 bytes piece-wn.png | Bin 0 -> 548 bytes piece-wp.png | Bin 0 -> 473 bytes piece-wq.png | Bin 0 -> 614 bytes piece-wr.png | Bin 0 -> 491 bytes players.md | 36 + tsconfig.json | 8 + 32 files changed, 9078 insertions(+) create mode 100644 COPYING create mode 100644 Makefile create mode 100644 all-fate-data.cc create mode 100644 chess.js create mode 100644 chess.ts create mode 100755 chessfont.png create mode 100644 favicon.ico create mode 100644 favicon.png create mode 100644 index.html create mode 100644 main.css create mode 100644 main.js create mode 100644 main.ts create mode 100644 paper-ideas.txt create mode 100644 paper/paper.aux create mode 100644 paper/paper.log create mode 100644 paper/paper.out create mode 100644 paper/paper.pdf create mode 100644 paper/paper.tex create mode 100644 piece-bb.png create mode 100644 piece-bk.png create mode 100644 piece-bn.png create mode 100644 piece-bp.png create mode 100644 piece-bq.png create mode 100644 piece-br.png create mode 100644 piece-wb.png create mode 100644 piece-wk.png create mode 100644 piece-wn.png create mode 100644 piece-wp.png create mode 100644 piece-wq.png create mode 100644 piece-wr.png create mode 100644 players.md create mode 100644 tsconfig.json diff --git a/COPYING b/COPYING new file mode 100644 index 0000000..94a9ed0 --- /dev/null +++ b/COPYING @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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Interpretation of Sections 15 and 16. + + If the disclaimer of warranty and limitation of liability provided +above cannot be given local legal effect according to their terms, +reviewing courts shall apply local law that most closely approximates +an absolute waiver of all civil liability in connection with the +Program, unless a warranty or assumption of liability accompanies a +copy of the Program in return for a fee. + + END OF TERMS AND CONDITIONS + + How to Apply These Terms to Your New Programs + + If you develop a new program, and you want it to be of the greatest +possible use to the public, the best way to achieve this is to make it +free software which everyone can redistribute and change under these terms. + + To do so, attach the following notices to the program. It is safest +to attach them to the start of each source file to most effectively +state the exclusion of warranty; and each file should have at least +the "copyright" line and a pointer to where the full notice is found. + + + Copyright (C) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + Copyright (C) + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..d7ece2d --- /dev/null +++ b/Makefile @@ -0,0 +1,22 @@ +.PHONY: build serve clean scp + +build: chess.js main.js Makefile + +serve: build + python -m http.server + +upload: build + scp *.js *.html root@pyrope.net:/var/www/mysite/elo-worldle/ + +# i'm so generous for putting random crap for you to see :] +full-upload: build + scp * root@pyrope.net:/var/www/mysite/elo-worldle/ + +clean: + rm *.js + +# main.js: main.ts +# tsc main.ts + +%.js: %.ts tsconfig.json + tsc diff --git a/all-fate-data.cc b/all-fate-data.cc new file mode 100644 index 0000000..9dafd1e --- /dev/null +++ b/all-fate-data.cc @@ -0,0 +1,2148 @@ +// Generated by maketable.cc over all games. + +LivedDied all_fate_data[32][64] = { + // a8 rook + { + { 0.23403837280639705, 0.054471297114506718 }, + { 0.022867206496525884, 0.012780469729890498 }, + { 0.028254939221235738, 0.02063579528756751 }, + { 0.046768702656560662, 0.036450618254037163 }, + { 0.022837204544906935, 0.021476950722506917 }, + { 0.016616199777985952, 0.011374945193720948 }, + { 0.0080396218488484397, 0.0042305815021306224 }, + { 0.0044164133651621341, 0.0023427490620877276 }, + { 0.0037934119010684768, 0.0041468562745213241 }, + { 0.002897602360864462, 0.0041774649450090568 }, + { 0.004127304907195966, 0.0063683366616046422 }, + { 0.005982129469237432, 0.0099587823263765848 }, + { 0.0039989552103451235, 0.0064225816762964877 }, + { 0.0031174618639048706, 0.004762203594710088 }, + { 0.0020075497329235395, 0.0022634941865344238 }, + { 0.0009027937241853967, 0.0010008964103302238 }, + { 0.0023145949350365752, 0.0033592600840865712 }, + { 0.0023863438879070014, 0.0028895509840845663 }, + { 0.0026703179627425443, 0.0050382369646115076 }, + { 0.0034116434402298988, 0.0074237488373922605 }, + { 0.0027061420439622721, 0.0054064105749668002 }, + { 0.0022838795452689905, 0.0031599835680767505 }, + { 0.0020787176586036641, 0.001968423282877301 }, + { 0.0011127164765018691, 0.00083262777396609885 }, + { 0.0019162217447663127, 0.0026352290587840148 }, + { 0.0017760380655497327, 0.0029351359268447717 }, + { 0.0022821147245855227, 0.0042446170637140349 }, + { 0.0030270548236071017, 0.0072695256440263476 }, + { 0.0022794309323255577, 0.005016691527779297 }, + { 0.0019391031488796247, 0.0027644206521759067 }, + { 0.0017311467981085613, 0.0018842435101871537 }, + { 0.0013464336756592707, 0.00089427001577801069 }, + { 0.0023522569594092982, 0.0028005135078782227 }, + { 0.0023417708020224237, 0.0026187231435003404 }, + { 0.0029790074322784748, 0.0049020750212189551 }, + { 0.0031353195567333288, 0.0071076344727748209 }, + { 0.0025241599801372494, 0.0049726895876702204 }, + { 0.0020557552268889836, 0.0029629995403007733 }, + { 0.0018615735683505841, 0.0019331051300953872 }, + { 0.0016198208026769686, 0.0010156711017407544 }, + { 0.0032630012699436202, 0.0027735194589247137 }, + { 0.0027522072234818082, 0.0033278747343954752 }, + { 0.0034816196672850168, 0.006529026252816361 }, + { 0.0034691414166742505, 0.0065930637495760476 }, + { 0.0025681105368893608, 0.0052477387686574554 }, + { 0.0022428084327899053, 0.0041600934177888106 }, + { 0.0019480932600656202, 0.0026550669871386033 }, + { 0.0020674054149394218, 0.0012883487431757368 }, + { 0.0070037808032157823, 0.0033534755038620362 }, + { 0.0074476994105870456, 0.0048315059092757743 }, + { 0.0069622294539773656, 0.0066016151259448768 }, + { 0.0062097735508581083, 0.0091673600521308667 }, + { 0.0048335632198373531, 0.0069314271077595318 }, + { 0.0043562849560977437, 0.0063357003247997328 }, + { 0.0038858742756448642, 0.0037776332579141595 }, + { 0.0038295442824299972, 0.0014512715341324937 }, + { 0.0037729791115428649, 0.008569079911586475 }, + { 0.0031375665904590875, 0.0058207303924429979 }, + { 0.0037557933549208782, 0.013329789436378645 }, + { 0.0051657487174872202, 0.024252812076739478 }, + { 0.0046001543208217446, 0.013181844893977321 }, + { 0.0029401477804318643, 0.0081233391713258982 }, + { 0.0019807691225297332, 0.0022464072440604474 }, + { 0.0025709880048794269, 0.0015087477714642828 }, + }, + // b8 knight + { + { 0.00019847612141093575, 0.00018015400208682832 }, + { 0.053370284185695213, 0.0053359600400012322 }, + { 0.00069249943067240481, 0.00056343827195588704 }, + { 0.0018426368250258514, 0.0012011808306497519 }, + { 0.00058725445790937844, 0.00055478808143904763 }, + { 0.0022577056537439683, 0.001375368434479706 }, + { 0.00050040275065702715, 0.00037979020159540738 }, + { 0.00017676665309302827, 0.00011772717593971307 }, + { 0.0011384338466630826, 0.0010407778004672629 }, + { 0.00097692607430583615, 0.0010006493749601976 }, + { 0.0016891982159951426, 0.0020149370786288049 }, + { 0.019436928684264165, 0.026266227417488922 }, + { 0.0059641097212062375, 0.0074473298456734869 }, + { 0.0012204159927014764, 0.0018097159034746722 }, + { 0.00057252126844101246, 0.00053284145916591497 }, + { 0.00059249358403689538, 0.00067137494211071949 }, + { 0.0056167681095345189, 0.0072933042806035955 }, + { 0.0048027924941468824, 0.0048917034882437725 }, + { 0.0461927169640904, 0.14161850610020052 }, + { 0.0016500579319681824, 0.0031612918673964096 }, + { 0.0029369343443385629, 0.0067853580578874466 }, + { 0.0067611189473804701, 0.013527728008824404 }, + { 0.0045490753114321549, 0.0070396799831879981 }, + { 0.00061444020631002804, 0.00081822067118616755 }, + { 0.00524976248240871, 0.0061234712502686956 }, + { 0.0012473962076742641, 0.0044792492818820136 }, + { 0.0055348808250782148, 0.01524151711369344 }, + { 0.0043934746488429764, 0.01957781394393162 }, + { 0.0096412213226322718, 0.10605214205989902 }, + { 0.0032639340755008391, 0.0084078606765414197 }, + { 0.0013749277233795793, 0.0035400702121161894 }, + { 0.0011035643101131364, 0.0017597969721827264 }, + { 0.0010907461388332139, 0.0022756957575307607 }, + { 0.0060516491749287417, 0.013025983362037395 }, + { 0.0053374323708065882, 0.026577887240314048 }, + { 0.0096990275992184169, 0.094606127754645955 }, + { 0.0039515718500911269, 0.018418409758777749 }, + { 0.0039598564282603277, 0.010584536752633817 }, + { 0.0034121177481403493, 0.006787723668590818 }, + { 0.0014517814151362278, 0.0023271621183805508 }, + { 0.00077520884884015593, 0.0013372656990068561 }, + { 0.0018187850659790762, 0.014280093002927492 }, + { 0.0020222038710734974, 0.0067606782362803434 }, + { 0.0048566817779058897, 0.026246656287333962 }, + { 0.0031115152284775988, 0.01163718608484306 }, + { 0.0042627573650058023, 0.038688543291632391 }, + { 0.0010830129436099119, 0.0038576707415197064 }, + { 0.0007674519382213314, 0.0013363170831859554 }, + { 0.0007855270221754126, 0.001498532364842957 }, + { 0.0011998073139924059, 0.002510596750181328 }, + { 0.0037298783564636436, 0.0066545893906933074 }, + { 0.0015398939909171932, 0.0057216889718920702 }, + { 0.0026634187589284512, 0.011261666630724667 }, + { 0.0014525897148669538, 0.0035473508385416032 }, + { 0.00050846005628580357, 0.0017889510984117451 }, + { 0.00037812617134291051, 0.00066438482928045655 }, + { 0.0019350893181874381, 0.0044254034763481298 }, + { 0.00021053342375117732, 0.00080952502616124327 }, + { 0.00057783154075509695, 0.0040339709918341257 }, + { 0.00054125251944456894, 0.0023349210052823356 }, + { 0.00074056263226471341, 0.0034748469455803768 }, + { 0.00043758264420083005, 0.0034052185443262562 }, + { 0.00021321128716226195, 0.00082680762064828021 }, + { 0.00018156309183745809, 0.00058638686968984623 }, + }, + // c8 bishop + { + { 0.0024807351146525539, 0.0013519850544945007 }, + { 0, 0 }, + { 0.088576278957051294, 0.013981674275935774 }, + { 0, 0 }, + { 0.0031883491574046454, 0.002495310201484103 }, + { 0, 0 }, + { 0.0008221218537496222, 0.00059953508022412378 }, + { 0, 0 }, + { 0, 0 }, + { 0.037234180850950128, 0.023911790617974511 }, + { 0, 0 }, + { 0.024388564929559268, 0.042627798946315493 }, + { 0, 0 }, + { 0.0037634494751087317, 0.0046348756361496747 }, + { 0, 0 }, + { 0.0023295277290839222, 0.0014595482071698533 }, + { 0.0093551761032544291, 0.011568389698715188 }, + { 0, 0 }, + { 0.013309740045747314, 0.021853543298272705 }, + { 0, 0 }, + { 0.0213114133091938, 0.062618246938358255 }, + { 0, 0 }, + { 0.0089216013608969056, 0.020159325323558627 }, + { 0, 0 }, + { 0, 0 }, + { 0.0057727679812816599, 0.018814952911026857 }, + { 0, 0 }, + { 0.010430438065094397, 0.039688481204726914 }, + { 0, 0 }, + { 0.016564518002293499, 0.042666364132001026 }, + { 0, 0 }, + { 0.0039058880931829116, 0.0049275591899908639 }, + { 0.0026194148425364139, 0.0040230045976879193 }, + { 0, 0 }, + { 0.0066917217712326943, 0.021103561701419631 }, + { 0, 0 }, + { 0.0096723556843874223, 0.038958141884215369 }, + { 0, 0 }, + { 0.013239657099412345, 0.029132620317845748 }, + { 0, 0 }, + { 0, 0 }, + { 0.0026355077146814044, 0.0096143063249971711 }, + { 0, 0 }, + { 0.0055714578701057827, 0.032754022478906422 }, + { 0, 0 }, + { 0.0075266222706030341, 0.12157095934087137 }, + { 0, 0 }, + { 0.007601634066640767, 0.018307081787063195 }, + { 0.001780293002763065, 0.0024996244271862419 }, + { 0, 0 }, + { 0.0029439778168087512, 0.0055154085090712655 }, + { 0, 0 }, + { 0.0025867528140530224, 0.029806795652911083 }, + { 0, 0 }, + { 0.0025983535950294553, 0.018879241395722487 }, + { 0, 0 }, + { 0, 0 }, + { 0.0010605386537864032, 0.0044279825256112043 }, + { 0, 0 }, + { 0.002076844142357385, 0.0092291030843737482 }, + { 0, 0 }, + { 0.0016214769277976245, 0.014739541241800085 }, + { 0, 0 }, + { 0.0013168546485938066, 0.0021810100646241365 }, + }, + // d8 queen + { + { 0.0016472199896373208, 0.001316621447204502 }, + { 0.0023672648522091336, 0.0018335380182770442 }, + { 0.0040061113309440444, 0.0035895602900057693 }, + { 0.070329048899438057, 0.048383592633251905 }, + { 0.004607606883864696, 0.0052513810581531224 }, + { 0.0031187563292438083, 0.0042629787086973462 }, + { 0.0011141611393457828, 0.0013273823079228456 }, + { 0.00075274444043144822, 0.00063157260329208898 }, + { 0.0016101923520948252, 0.0011207579718669639 }, + { 0.0037970205937538203, 0.0035205603467329954 }, + { 0.015484475411972783, 0.010708534674406276 }, + { 0.01354943154829343, 0.017457882880475735 }, + { 0.015528599881625393, 0.020147208732729578 }, + { 0.0045316425194401417, 0.0097843378057618034 }, + { 0.0034799457556177189, 0.0059650286927827346 }, + { 0.0011938290580377705, 0.0017160598539903177 }, + { 0.0021496069283863987, 0.0020283678976263926 }, + { 0.011360055877898725, 0.010140825654973375 }, + { 0.0069512116764741949, 0.0094952945651333217 }, + { 0.0093196840375720166, 0.015192396600717419 }, + { 0.0064855598853895014, 0.013782419499038514 }, + { 0.011641047741747311, 0.022997336824323877 }, + { 0.0067271861689536631, 0.010089827673185154 }, + { 0.0033474478408333959, 0.0033398608905491492 }, + { 0.0068184311532265614, 0.0045913875296102521 }, + { 0.0035251729911621259, 0.0065591368999981222 }, + { 0.0060178290446306669, 0.0076823553441505467 }, + { 0.0068160714713720707, 0.020013823466896122 }, + { 0.0070154803983402255, 0.015505287647826755 }, + { 0.0056269380616477595, 0.010508916261444338 }, + { 0.0087649374580751338, 0.015093912491961271 }, + { 0.0047978577155952376, 0.0044508995028177999 }, + { 0.002746594579874812, 0.0028725233300993967 }, + { 0.0041789530860780952, 0.0051818336845003699 }, + { 0.0042375637098290451, 0.0070407412471376312 }, + { 0.0072392094634167259, 0.019871195125657763 }, + { 0.0064338860148288888, 0.013270461421913139 }, + { 0.0062694078891824467, 0.010530366836694458 }, + { 0.0058803904224458189, 0.010073920571638422 }, + { 0.007873604198775995, 0.0052564363899653393 }, + { 0.0032403174941263288, 0.002024288849596519 }, + { 0.0026954009460735304, 0.0068431524767758297 }, + { 0.0056423273770589153, 0.0087400738421527305 }, + { 0.0049286481219019389, 0.0099670748096776264 }, + { 0.0063303999339004496, 0.010878081965845656 }, + { 0.0068937097474639228, 0.017234948281149239 }, + { 0.0059413627043342189, 0.0084129061269388357 }, + { 0.0063217457908176901, 0.003394321320083658 }, + { 0.0047701858015863768, 0.0014718624262949223 }, + { 0.0087988089717301737, 0.0037137716503379318 }, + { 0.0070749981359699123, 0.0052531063531773853 }, + { 0.0062215877703942438, 0.012320165760496134 }, + { 0.0064496883733787284, 0.013691826688142486 }, + { 0.012004179854271107, 0.0076299067706695322 }, + { 0.016568784797204594, 0.0053697544786208235 }, + { 0.0096776659567015064, 0.0019513897000432506 }, + { 0.0043533995829758369, 0.0020476860635624456 }, + { 0.002498928775584248, 0.0020066623818744056 }, + { 0.0037622498713518844, 0.0035707243371120075 }, + { 0.0052811320218361241, 0.029992621587093714 }, + { 0.0063102892784973521, 0.0057486711631478185 }, + { 0.0048913536861598149, 0.0042183186663625194 }, + { 0.0028302466850145831, 0.0018711881849520059 }, + { 0.0049728615242877585, 0.0012585187281743263 }, + }, + // e8 king + { + { 0.0021904744837205827, 0.0049105789667967387 }, + { 0.010136875065335914, 0.011449016279069621 }, + { 0.021588907152202817, 0.018284046232878985 }, + { 0.0052344561708818835, 0.01265855085779218 }, + { 0.049724469001227067, 0.051534157236740298 }, + { 0.011685527942332758, 0.023117733958542833 }, + { 0.14823462911935631, 0.10958049489034412 }, + { 0.026633140159315602, 0.03933825421993329 }, + { 0.0024964426116203036, 0.0035674812567743027 }, + { 0.0049000868805609832, 0.0044513085933905634 }, + { 0.0066595557897723154, 0.006779790868788535 }, + { 0.0093216109134582215, 0.010639522873435741 }, + { 0.012280157888249642, 0.014353069227516209 }, + { 0.016479642578001358, 0.013965377846645881 }, + { 0.027994065917922091, 0.021506695757341036 }, + { 0.020729255685038805, 0.021106974742091913 }, + { 0.0016329294875520419, 0.0035074259701794396 }, + { 0.0035339259483928962, 0.0040111370185118584 }, + { 0.0047878320321380922, 0.0050751124283660671 }, + { 0.0057679379457269064, 0.006671026136073374 }, + { 0.0071101957354912527, 0.0076072980936047292 }, + { 0.0098180472642141071, 0.009330104977621205 }, + { 0.0093125575612174986, 0.0091509608561270439 }, + { 0.0063942338735152341, 0.01023355285146643 }, + { 0.001182044482746038, 0.0028812861687449679 }, + { 0.0021486227394722141, 0.0022484111949821004 }, + { 0.0031483768582514365, 0.0029953176955490883 }, + { 0.0035010307185202, 0.0032630961315257101 }, + { 0.004294385797501004, 0.0039945777435882578 }, + { 0.0050980195241578617, 0.0046997688634311321 }, + { 0.004468664310347128, 0.0045898677680138505 }, + { 0.0026586440592965836, 0.0056277977447354507 }, + { 0.0010557876695500583, 0.0022965811158542604 }, + { 0.0021034864129439767, 0.001831399680114097 }, + { 0.0026144899453995705, 0.0020502473262788779 }, + { 0.0025386026560104647, 0.0021405002165057509 }, + { 0.0028111597441848745, 0.0024145632322958408 }, + { 0.0036836550743072909, 0.0027491400323275622 }, + { 0.0032649103592831828, 0.002884466008027946 }, + { 0.0018030360670691623, 0.0036422163731976063 }, + { 0.00097807034213979777, 0.0016078801010313793 }, + { 0.0023181384103842318, 0.0011664535864729408 }, + { 0.0025204504970209353, 0.0012708507338460369 }, + { 0.0021788440584997464, 0.001334526570824005 }, + { 0.0023843636523808707, 0.0012958981440837393 }, + { 0.0034494754249372, 0.0014317004039775334 }, + { 0.0034073193331129593, 0.0013730087526252152 }, + { 0.0014390502003065546, 0.0019215399222122379 }, + { 0.00077387090527609363, 0.0012286491875137114 }, + { 0.0012843092208050676, 0.00084730760379453916 }, + { 0.001450935566029258, 0.00084670483749167507 }, + { 0.0010958864508127202, 0.0007367523587174284 }, + { 0.0011892539629848843, 0.00082125624181305019 }, + { 0.0017354373084151773, 0.00072505473987594506 }, + { 0.0013071313364295732, 0.00066329392108642059 }, + { 0.00082060604471914113, 0.00095224230013281255 }, + { 0.00039844038389090969, 0.001027145400607734 }, + { 0.0004669719481021138, 0.0007918570564969654 }, + { 0.00043263600795142432, 0.0007329262749064617 }, + { 0.00036340681585526603, 0.00069446187965189338 }, + { 0.00038134751256805292, 0.00072742035057931655 }, + { 0.00044768342641046368, 0.00063465955727593708 }, + { 0.0004420688065205069, 0.00060094021740883313 }, + { 0.00037292657087459785, 0.00076806260965603629 }, + }, + // f8 bishop + { + { 0, 0 }, + { 0.0022563123742570202, 0.0011786077266782327 }, + { 0, 0 }, + { 0.0033174043872722823, 0.0030945626732449168 }, + { 0, 0 }, + { 0.062548187707418795, 0.012964242306077471 }, + { 0, 0 }, + { 0.0018097791445293989, 0.00084640839504764357 }, + { 0.0033132067622647964, 0.002191183969303298 }, + { 0, 0 }, + { 0.0058381868998305326, 0.0048173695572613917 }, + { 0, 0 }, + { 0.033090514297126589, 0.058861289552773803 }, + { 0, 0 }, + { 0.03935414551121634, 0.03784814872563267 }, + { 0, 0 }, + { 0, 0 }, + { 0.010686509000814734, 0.012040938717331015 }, + { 0, 0 }, + { 0.02414745643213068, 0.056609720257621288 }, + { 0, 0 }, + { 0.016286245503798164, 0.034553210723052057 }, + { 0, 0 }, + { 0.0064878662076040669, 0.010308957927813245 }, + { 0.0029723750266640097, 0.003016297915454678 }, + { 0, 0 }, + { 0.022824670958373282, 0.040045866286402422 }, + { 0, 0 }, + { 0.011130226027324056, 0.050939979859621301 }, + { 0, 0 }, + { 0.0065681862996729238, 0.028365765217078398 }, + { 0, 0 }, + { 0, 0 }, + { 0.01037128396352939, 0.01932728252934875 }, + { 0, 0 }, + { 0.011944332077387067, 0.040047512530108277 }, + { 0, 0 }, + { 0.0066582712058481782, 0.023548184197540265 }, + { 0, 0 }, + { 0.0044094489440103541, 0.0075733376472164795 }, + { 0.0031319994013601759, 0.010288851224976067 }, + { 0, 0 }, + { 0.0061061866794986982, 0.09064822784651623 }, + { 0, 0 }, + { 0.005757669179465655, 0.030907039807651068 }, + { 0, 0 }, + { 0.0042387257642096483, 0.017708797693952883 }, + { 0, 0 }, + { 0, 0 }, + { 0.0032580447522794131, 0.0090054827148600605 }, + { 0, 0 }, + { 0.002150927085403819, 0.02857935792685198 }, + { 0, 0 }, + { 0.0037267380428398699, 0.016890191647589474 }, + { 0, 0 }, + { 0.001721520323809378, 0.0058687224478487388 }, + { 0.0020783144968797812, 0.0074059069548274839 }, + { 0, 0 }, + { 0.0012035484176360835, 0.0061939889788549104 }, + { 0, 0 }, + { 0.0013717360263988401, 0.0045301998328791887 }, + { 0, 0 }, + { 0.00081394794742619347, 0.0022203993603040831 }, + { 0, 0 }, + }, + // g8 knight + { + { 0.00015552358755373038, 0.00016205520273722464 }, + { 0.00041788503193641646, 0.00036098982179492913 }, + { 0.00082304477789204027, 0.00070254290067619228 }, + { 0.00034909457465742477, 0.00034771710543415836 }, + { 0.0027670095828537817, 0.0015881805124840056 }, + { 0.0012975028858474298, 0.0008983787080522874 }, + { 0.041520289975413772, 0.0058457145616259733 }, + { 0.00024114011795595047, 0.00013225483198021719 }, + { 0.00022353934191231969, 0.00034326651620776534 }, + { 0.00032495032573253855, 0.00043367355650553456 }, + { 0.0011853508041384693, 0.001440925692835794 }, + { 0.0070807115700078794, 0.0089430104342048608 }, + { 0.012464398843498184, 0.016623379613980395 }, + { 0.001613107369461135, 0.0027301262139673814 }, + { 0.0016059907745214186, 0.0014108110930881133 }, + { 0.0029127169729441485, 0.0026111618848945767 }, + { 0.0004621932959043259, 0.00056915170599385436 }, + { 0.003398989300435674, 0.0036102025655251634 }, + { 0.0030782781016527858, 0.0053741260165288086 }, + { 0.0024364564949290474, 0.0061126036702705 }, + { 0.001931091297758933, 0.0036296096641944262 }, + { 0.047192769501596614, 0.15359096463667729 }, + { 0.0048277806158957782, 0.0078792484629103543 }, + { 0.0049554662816719899, 0.012494335577779446 }, + { 0.00047936719482855126, 0.00056251337153050878 }, + { 0.00088000125280529411, 0.0021455002123950823 }, + { 0.0030081714399222944, 0.0074686519625311925 }, + { 0.0092690753835269566, 0.091751867255381855 }, + { 0.0039777753858605521, 0.024429511536211861 }, + { 0.0056763273491063689, 0.017612564571488416 }, + { 0.0021638658099443144, 0.0099013930454950449 }, + { 0.0057112937235213653, 0.013096588047073858 }, + { 0.00081877007784910598, 0.0013005582193039145 }, + { 0.0018834490444371492, 0.0033294241402362802 }, + { 0.0027533593964476108, 0.0080783905916788808 }, + { 0.0026444760867548379, 0.01129179704073603 }, + { 0.011950363692981627, 0.10531599049120149 }, + { 0.0058027620277687677, 0.023033342723575944 }, + { 0.0099516420160413472, 0.025533783355624753 }, + { 0.0015857081825007828, 0.00411012705570582 }, + { 0.00042800557697565212, 0.00057993232954180022 }, + { 0.00077029976196699406, 0.0024266462263145649 }, + { 0.0032948648801110867, 0.035803563450034791 }, + { 0.0028986537433992941, 0.010226054833915393 }, + { 0.0040866666006851666, 0.02727864951004309 }, + { 0.0022597432014759451, 0.011823166169096589 }, + { 0.0022811819190283037, 0.016655223461318262 }, + { 0.0012256472136971523, 0.0024925928124138142 }, + { 0.00045512808432157496, 0.00057874853604863443 }, + { 0.00072718517290705151, 0.0012638764312794557 }, + { 0.0012067638300123453, 0.0017345578624978837 }, + { 0.0016674927002431556, 0.014820124179502651 }, + { 0.0021583262888068455, 0.0069214290922638292 }, + { 0.0028903079004583268, 0.011990952592418423 }, + { 0.00069292630779181023, 0.0026092666295357354 }, + { 0.00057156277120531062, 0.0019530280386172647 }, + { 0.00036974870787458006, 0.0010270287999130814 }, + { 0.00024438517457661538, 0.0010721335059139555 }, + { 0.00041643641652658244, 0.0021324587211406561 }, + { 0.00087412576356458961, 0.0045745851718825463 }, + { 0.00046005298145841841, 0.002037460775526319 }, + { 0.00061274850809608819, 0.007110946723016133 }, + { 0.00015914809050275564, 0.00059345208127259722 }, + { 0.00076931952561872994, 0.0021552768841992414 }, + }, + // h8 rook + { + { 0.0046086404798528864, 0.0033582640374746255 }, + { 0.0063455105934142157, 0.0048186284495070454 }, + { 0.011506026113622799, 0.010469141590587152 }, + { 0.021257381733061659, 0.023112119338652877 }, + { 0.041533606169999668, 0.034927601719600167 }, + { 0.12161135654086103, 0.044273801545649319 }, + { 0.018020014829394922, 0.0096603141923108614 }, + { 0.13993885135462023, 0.036071416984763904 }, + { 0.0010599773894257036, 0.0013998822483181515 }, + { 0.0015041963918069189, 0.0021364626704180418 }, + { 0.002390770761737872, 0.003749271621152185 }, + { 0.0037981233596456176, 0.0066195242021303002 }, + { 0.0056778471107027705, 0.009426413198838161 }, + { 0.0087185501444330821, 0.018578188283544812 }, + { 0.0042726980682956592, 0.0051530115738086663 }, + { 0.0029769422165850552, 0.0034657738305100523 }, + { 0.00092646366519983259, 0.00087948346666971906 }, + { 0.001250078023651269, 0.0014288565327977912 }, + { 0.0016467575394246317, 0.0027284404446023224 }, + { 0.0024149347734923601, 0.0052124443312710636 }, + { 0.0038500857675184204, 0.0078934065540372991 }, + { 0.0053366379050565843, 0.0089220045226207877 }, + { 0.0042654648726612905, 0.0045060239634269394 }, + { 0.0030662227755955044, 0.0031627661744847262 }, + { 0.0010646631563243616, 0.00080752700408847093 }, + { 0.0012126136275745672, 0.0014752873246649664 }, + { 0.0015342279876702711, 0.0024167746929283159 }, + { 0.0022242096338513681, 0.0050021737531535946 }, + { 0.0031532582771631556, 0.0080679558176489728 }, + { 0.0035288310909214748, 0.00661133646182615 }, + { 0.0026594859558376331, 0.0037028269953042884 }, + { 0.0025501382196492107, 0.0027458732365943351 }, + { 0.0016375618948107741, 0.00092178975599893577 }, + { 0.0016975025569939451, 0.0014979829581800185 }, + { 0.0021054626959041869, 0.0027091835434380354 }, + { 0.0024379169680366431, 0.0049443180694934445 }, + { 0.0031513155910132692, 0.0074371954666535298 }, + { 0.0031412997889709244, 0.0061795759472260984 }, + { 0.002482936693870228, 0.0030800883768443382 }, + { 0.0024592292034795482, 0.0028994837822425823 }, + { 0.0023819446820375735, 0.0010429161386302102 }, + { 0.0022031207183829666, 0.001853745511545192 }, + { 0.0026013358060164127, 0.0033181059677231568 }, + { 0.0027298653446166336, 0.0046273499506371951 }, + { 0.0029715034858785569, 0.0071538281106867706 }, + { 0.0031873392768119778, 0.0084590641917575028 }, + { 0.0023445929340896038, 0.0042067317193668075 }, + { 0.0029339896827278496, 0.0028585351993070298 }, + { 0.0049030789729627416, 0.0015341845094451463 }, + { 0.0049762765412430018, 0.0025355987059109452 }, + { 0.0048808813627536623, 0.0038856628133681218 }, + { 0.0048575137930321382, 0.0066596210071100019 }, + { 0.0054399065948594, 0.0088197555948254392 }, + { 0.0057429518002609708, 0.0083874397447135703 }, + { 0.0047653676237293845, 0.0052352111109726833 }, + { 0.0052365727699322682, 0.0029733453815974729 }, + { 0.0028378000384885059, 0.001592767465234653 }, + { 0.0025178338983816171, 0.002373395281951705 }, + { 0.0030033908114415462, 0.0059053093742911077 }, + { 0.0041765479497155198, 0.015345732443034197 }, + { 0.0050944503571317221, 0.020990891833575092 }, + { 0.0035855484355965432, 0.015775093750120553 }, + { 0.0023036206357585289, 0.003666376432386174 }, + { 0.0034930643219075932, 0.0041604333384579672 }, + }, + // a7 pawn + { + { 0.00011726077316110348, 5.2727229378404303e-06 }, + { 5.8126434425698179e-05, 9.6580948265465459e-06 }, + { 4.9746994674407538e-05, 1.7298404750718624e-05 }, + { 5.6501929832405516e-05, 1.5559275745733773e-05 }, + { 5.183197319742915e-05, 1.8272712250102183e-05 }, + { 6.0458448318746049e-05, 3.3156099223444117e-05 }, + { 6.4851725339293002e-05, 3.9616568220370788e-05 }, + { 0.00012369752676250764, 3.9986133133930075e-05 }, + { 0.38416810511080685, 0.079508033447940885 }, + { 0.00012730819573081141, 1.2154140205291847e-05 }, + { 9.9594779779785795e-05, 1.7626467722113495e-05 }, + { 9.7063161307756705e-05, 1.6494057585913131e-05 }, + { 0.0001100710557518593, 1.9936742502599051e-05 }, + { 0.00011193271430037717, 2.9833967567331012e-05 }, + { 0.00027765392192879144, 5.837939864460507e-05 }, + { 8.7474236384817519e-05, 2.7462428015078945e-05 }, + { 0.16319392709748287, 0.051301625807359023 }, + { 0.0083606156560946387, 0.0074400037647399881 }, + { 8.3359615261660182e-05, 1.5011845365755588e-05 }, + { 9.295249275051979e-05, 1.7592870911789921e-05 }, + { 9.8924819856274589e-05, 2.0582987030587739e-05 }, + { 0.00023589901554547338, 4.7470316704245556e-05 }, + { 0.00017970340957190043, 3.0691674372062175e-05 }, + { 7.9250922987383478e-05, 1.432805146152291e-05 }, + { 0.077450746601757728, 0.041207373236625953 }, + { 0.009257654444299903, 0.028917592826643052 }, + { 0.00043701545099124979, 0.0006982563429354967 }, + { 0.00010190703084323156, 2.1958479970893937e-05 }, + { 0.00026821124194490782, 5.2312209956760192e-05 }, + { 0.00017170341614897012, 3.5966373592862817e-05 }, + { 0.0001844109155831208, 3.0290488931139536e-05 }, + { 8.3223251737405687e-05, 1.2167974186013317e-05 }, + { 0.023919201679075301, 0.019516778420988493 }, + { 0.0069045140864073913, 0.02715333736010209 }, + { 0.00072931758222111816, 0.0020135556568396181 }, + { 0.00028704521855570965, 9.3132334499898905e-05 }, + { 0.00017286151796365321, 3.4681789668726278e-05 }, + { 0.00018409273402652696, 3.6474278313636802e-05 }, + { 0.00018989707708066392, 2.8164008465953514e-05 }, + { 9.6227193615587862e-05, 1.2063231189122184e-05 }, + { 0.0094167709142752958, 0.0091167454692369261 }, + { 0.0028400826453075486, 0.012708434215990843 }, + { 0.00067090656304914971, 0.0025088675025911442 }, + { 0.00016624294632990974, 0.0001048240244925016 }, + { 0.00015599789546418081, 2.6114603036215687e-05 }, + { 0.00017631408429514018, 3.116598228251259e-05 }, + { 0.00021982195366416457, 2.6195630637584297e-05 }, + { 9.4333914539706626e-05, 8.8537476617410526e-06 }, + { 0.0051833909954730152, 0.0049946085419819101 }, + { 0.0017746823354390286, 0.0023783755150114344 }, + { 0.00041540874938727324, 0.00052631577283130141 }, + { 0.00019961446039601675, 6.3039473864780386e-05 }, + { 0.00016555717614271685, 1.6371528042380108e-05 }, + { 0.00021870140122572549, 2.061658384091131e-05 }, + { 0.00031555902910562034, 1.6604729431684893e-05 }, + { 0.00013516984934652701, 5.8715366747840775e-06 }, + { 0.0024160770650433617, 0.0025748634957643989 }, + { 0.00076786893392593572, 0.00077567327533580521 }, + { 0.00030601753497372619, 0.00016051765459418121 }, + { 0.00020406702590536999, 3.9980204285049441e-05 }, + { 0.00021181603139235365, 1.9604726965283761e-05 }, + { 0.00019414608544511552, 3.2258866759508752e-05 }, + { 0.00028188712002956141, 1.4446628439135512e-05 }, + { 0.0002458258848546085, 8.8952496039054634e-06 }, + }, + // b7 pawn + { + { 2.9610647592827276e-05, 6.4426824502847842e-06 }, + { 8.7128386866780754e-05, 7.1660020137216645e-06 }, + { 4.0444630780698807e-05, 7.8300330883522431e-06 }, + { 3.5476255418730725e-05, 9.1719292183348721e-06 }, + { 3.432605873588847e-05, 1.1490109130661268e-05 }, + { 3.747427749150309e-05, 2.1416978439796381e-05 }, + { 4.5035536097266763e-05, 2.9446616107129841e-05 }, + { 4.7413004498399464e-05, 2.6077053659971694e-05 }, + { 3.2446613640728706e-05, 6.1679791188155859e-06 }, + { 0.29407656850622038, 0.095497542041546465 }, + { 7.1723261191943363e-05, 9.9169878943340634e-06 }, + { 6.5683740465541436e-05, 1.0373509258142585e-05 }, + { 6.640903631193853e-05, 1.2810266148081585e-05 }, + { 7.5739068167090205e-05, 1.9899193126355057e-05 }, + { 0.00013309870480422687, 2.9041478100286779e-05 }, + { 7.7691635731777739e-05, 2.7096815667440084e-05 }, + { 0.0029566517194325784, 0.0035201868292535159 }, + { 0.11437869055032555, 0.041697833307710166 }, + { 0.025621028343186185, 0.028369010273699063 }, + { 5.9197579790132032e-05, 1.1565207883149249e-05 }, + { 6.505725876715485e-05, 1.3513822881916366e-05 }, + { 8.7086884924616345e-05, 2.0604726143150049e-05 }, + { 0.00016091291118622321, 2.8620529829762038e-05 }, + { 6.0460424601706253e-05, 1.3126471421715195e-05 }, + { 0.0022688341030929113, 0.0046354013274170908 }, + { 0.085234433878410093, 0.082492698978334431 }, + { 0.013911111092841473, 0.025726662643692371 }, + { 0.0026329484282479323, 0.0048713892756957729 }, + { 9.2219291772281865e-05, 2.1984171649376667e-05 }, + { 0.00016038326735288693, 3.1264796430523091e-05 }, + { 0.00012869159380295844, 2.2968360563561275e-05 }, + { 6.2436707561916308e-05, 8.9782534882342867e-06 }, + { 0.0022482274006668012, 0.0090258542396139049 }, + { 0.024545987725037761, 0.033346108948653509 }, + { 0.0081039577643351179, 0.026803092588761825 }, + { 0.001585202254062969, 0.0055822780193129327 }, + { 0.00030249579873863189, 0.00040233959017140414 }, + { 0.00013777459028808386, 2.8505905418069853e-05 }, + { 0.00013493862424018244, 2.0450576072253663e-05 }, + { 6.1015760113525282e-05, 7.9268709534025366e-06 }, + { 0.0012056452538568665, 0.0045545654254956188 }, + { 0.0046309507381906978, 0.0092869093609598934 }, + { 0.0026210551573933884, 0.012988299598552109 }, + { 0.00073316540514464714, 0.0017233562906794132 }, + { 0.00017720538791019493, 0.00026938515402327257 }, + { 0.00013439119386020426, 5.4140271694954498e-05 }, + { 0.00013802557822403054, 1.817587438505189e-05 }, + { 6.6932751296394186e-05, 6.4169907718020532e-06 }, + { 0.00084056650261726264, 0.0010162442237992152 }, + { 0.0028373632799542996, 0.0031337958425710069 }, + { 0.0013344712349011192, 0.0019845754435110978 }, + { 0.00042052929853717751, 0.00063388485435553481 }, + { 0.00015404335161653307, 9.9814147188369108e-05 }, + { 0.00014618762684969809, 4.2622494602850287e-05 }, + { 0.00021873697431900926, 1.5165995436651972e-05 }, + { 8.9507831550873659e-05, 4.1422890846002786e-06 }, + { 0.00041695617894511769, 0.00039053722833302967 }, + { 0.0014452517762356938, 0.0013189317219849874 }, + { 0.00056291060440551101, 0.00067068324307464596 }, + { 0.00024908675173895508, 0.00020386544504342858 }, + { 0.00015453149350770493, 4.4296406270148204e-05 }, + { 0.00014175284788698673, 3.154740489383313e-05 }, + { 0.00019253343854958412, 1.1241097477674801e-05 }, + { 0.00018843462769010846, 6.899203814093307e-06 }, + }, + // c7 pawn + { + { 2.4679821607103185e-05, 1.0296434222694394e-05 }, + { 3.0292465214099744e-05, 7.5494009080024153e-06 }, + { 5.9950543597972063e-05, 7.0513776020294816e-06 }, + { 3.2065191029408165e-05, 7.0829981293928421e-06 }, + { 2.5575077788078342e-05, 8.9861586200751266e-06 }, + { 2.8294443141327378e-05, 1.5612635385659447e-05 }, + { 3.406321310218053e-05, 2.3219348499507954e-05 }, + { 3.1956495466596614e-05, 2.1733183713429991e-05 }, + { 2.6501954496416858e-05, 7.6225233775301874e-06 }, + { 7.7244995782770268e-05, 8.5810206132320648e-06 }, + { 0.18305863606246522, 0.067110302533822427 }, + { 5.6191653407652533e-05, 8.6936687419640381e-06 }, + { 5.0875452244687483e-05, 1.0106711058514228e-05 }, + { 5.3999955604779581e-05, 1.5181805700333654e-05 }, + { 9.757501859445112e-05, 2.1901167765047845e-05 }, + { 3.7863605234664469e-05, 1.8328048172988064e-05 }, + { 2.1015792998873741e-05, 4.0909057276348167e-06 }, + { 0.0030825943036378849, 0.0028059206180573574 }, + { 0.096058049485872363, 0.062777189495433136 }, + { 0.0070347985642762794, 0.010336853161796611 }, + { 4.8219327946165165e-05, 1.0395248370704897e-05 }, + { 5.8312205023957928e-05, 1.4638327886275888e-05 }, + { 7.9962384853059094e-05, 1.5254928169861426e-05 }, + { 6.4620500232948422e-05, 1.4970343423591177e-05 }, + { 8.6731153991778537e-05, 0.00015149394659786207 }, + { 0.004040816836008293, 0.011846401327859779 }, + { 0.08129314265227798, 0.10258941565771361 }, + { 0.019773122083757338, 0.044192572363418767 }, + { 0.00050582171853392306, 0.0010681512957491323 }, + { 7.5082942224300464e-05, 1.6237140801085825e-05 }, + { 0.00013109475388257388, 2.2545436010076322e-05 }, + { 5.5752918590485901e-05, 8.4051314297733705e-06 }, + { 0.00014657102574397882, 0.00035056295289686087 }, + { 0.0034387718764247025, 0.012229319985381197 }, + { 0.021971410790302591, 0.031229057329470653 }, + { 0.011136787286751954, 0.1526189338152639 }, + { 0.0016615263019862814, 0.0055913511343832567 }, + { 0.00016432990442442642, 9.3128381933978483e-05 }, + { 0.00011409476785884698, 1.8077060237041385e-05 }, + { 5.0831974019562862e-05, 6.5948562382209579e-06 }, + { 0.00020595832869829103, 0.00089122456373632707 }, + { 0.0011855602901322516, 0.0065810815459882944 }, + { 0.0042413226000193645, 0.013486143062775664 }, + { 0.0026061658415711658, 0.0086740442521691524 }, + { 0.00063313386683065491, 0.0025531283357680084 }, + { 0.00017435361159861182, 0.00049881184287405803 }, + { 0.00011839713586322427, 2.0436742091532195e-05 }, + { 4.8938694943681626e-05, 4.8715374969177893e-06 }, + { 0.00016689314342381884, 0.00020599785435749523 }, + { 0.00079661396958219106, 0.0014718505685971609 }, + { 0.0023224486835204498, 0.0029758256167125366 }, + { 0.0012506471931438097, 0.0019929272153009457 }, + { 0.00031496812050051755, 0.00058007659819789552 }, + { 0.00015237339251515555, 0.00024541481799888483 }, + { 0.00017701961731193518, 4.1679807630830091e-05 }, + { 7.0292432328751287e-05, 3.4920919906911695e-06 }, + { 0.00015137141705432906, 8.9397159705101897e-05 }, + { 0.00031735942288237172, 0.00032420329077357911 }, + { 0.0010759022775190762, 0.0012479890925623271 }, + { 0.00049099959633234764, 0.00062068130789837139 }, + { 0.00019199193701848656, 0.00014521924819919514 }, + { 0.00012238922744284858, 7.1084921795795523e-05 }, + { 0.0001616362307496601, 1.3254929814128848e-05 }, + { 0.00014553940603874918, 5.8497975622217673e-06 }, + }, + // d7 pawn + { + { 1.8772711839035327e-05, 8.4189654104948408e-06 }, + { 2.2219349321641666e-05, 8.2766730373597156e-06 }, + { 2.1476266928602684e-05, 6.4308247525235234e-06 }, + { 3.9701548387659825e-05, 6.0434732923223527e-06 }, + { 2.169958690310642e-05, 6.9169903607351973e-06 }, + { 1.892686190993171e-05, 8.3458429409670686e-06 }, + { 2.1776661938554611e-05, 1.1934772796708531e-05 }, + { 2.0116584251978166e-05, 1.1990108719594412e-05 }, + { 2.0438718374492403e-05, 6.8418916082472156e-06 }, + { 5.6474261870962572e-05, 8.0790447413387112e-06 }, + { 4.0116567809303936e-05, 7.454539325912333e-06 }, + { 0.043939742531753173, 0.0080143649526169553 }, + { 4.0634353944878971e-05, 7.924894670442327e-06 }, + { 3.7353724230930279e-05, 8.9486092438311349e-06 }, + { 6.2604691613534169e-05, 1.1662045748199543e-05 }, + { 2.3043459316049258e-05, 9.4940633408491106e-06 }, + { 1.8270735967141972e-05, 3.7727241710409977e-06 }, + { 3.9294434097856552e-05, 5.2845806356016911e-06 }, + { 0.0052296874000988961, 0.0023081008692293248 }, + { 0.10408428794651425, 0.071089502819697281 }, + { 0.0018980261075516587, 0.0015434117745863672 }, + { 3.9401153377707898e-05, 9.5612569614962523e-06 }, + { 5.1913000798797764e-05, 8.7569097966907608e-06 }, + { 3.0300370345940585e-05, 6.4169907718020532e-06 }, + { 2.4110652114562688e-05, 3.4466374826063383e-06 }, + { 0.00016314018208237995, 0.00027596815256373229 }, + { 0.0073795670555338042, 0.010066572751592362 }, + { 0.08536334483962163, 0.28891535140556091 }, + { 0.016579782811878163, 0.063745453521524373 }, + { 0.00012664416465618084, 0.00011524298825872902 }, + { 6.8118521072520229e-05, 1.1918962533026851e-05 }, + { 5.6450546475440051e-05, 7.9327998022831669e-06 }, + { 4.0434749365897757e-05, 1.574702262695373e-05 }, + { 0.00030551753538479303, 0.00087128189238484734 }, + { 0.0081564596974560595, 0.058893479249629704 }, + { 0.019168776730808062, 0.034716147347989529 }, + { 0.012601242604512009, 0.079552626296655063 }, + { 0.00097362765804524559, 0.0035125643058759857 }, + { 0.0001172429866144616, 2.2426859032463722e-05 }, + { 4.4875457177489754e-05, 5.6837897935641225e-06 }, + { 4.0612614832316661e-05, 3.3209458863369786e-05 }, + { 0.00028367960867447194, 0.0020957097394955502 }, + { 0.0018064293449118428, 0.0098541164045209007 }, + { 0.0042351427632027873, 0.011660933100892945 }, + { 0.0023904051493902328, 0.0095849980486972571 }, + { 0.0007603985843363417, 0.0079021318433066274 }, + { 0.00012839119879300652, 0.00019074292618763381 }, + { 4.0780598883934515e-05, 4.4703520559951475e-06 }, + { 5.9015761757792705e-05, 5.7011810836139706e-05 }, + { 0.00029994441743700067, 0.00061309238133116476 }, + { 0.00089431547028609557, 0.0014614019605865304 }, + { 0.0020349153230735683, 0.0033585545510697763 }, + { 0.001008018934118821, 0.001810241594742088 }, + { 0.00031909262303847594, 0.0010174754480834262 }, + { 0.00021024883900490706, 0.00035594239511455261 }, + { 5.5606673651430356e-05, 1.0638331174810733e-05 }, + { 8.2822066296483048e-05, 4.0082970998980365e-05 }, + { 0.00013777261400512366, 9.5592806785360431e-05 }, + { 0.00033067957003418751, 0.00046552333269227983 }, + { 0.00085314751994195988, 0.0010526117828330006 }, + { 0.00040908859648052149, 0.00046195416566614046 }, + { 0.00016473701871422966, 0.00020248007068832133 }, + { 0.00012248408902493867, 4.9355690648285948e-05 }, + { 0.0001272093815828009, 1.1395247548571186e-05 }, + }, + // e7 pawn + { + { 2.4622509401257093e-05, 1.3537538277438887e-05 }, + { 2.7725273648786881e-05, 1.2575088475816589e-05 }, + { 2.3782589143167818e-05, 9.1837869160961328e-06 }, + { 2.732606449082445e-05, 6.9604685858598185e-06 }, + { 4.2719332467900577e-05, 6.0434732923223527e-06 }, + { 2.1992076781217508e-05, 7.5276617954401051e-06 }, + { 2.3592865978987653e-05, 1.1853745195339919e-05 }, + { 2.1312235442905249e-05, 1.295848737009734e-05 }, + { 2.6414998046167614e-05, 1.0780623547945859e-05 }, + { 7.0320100290194231e-05, 1.1812243253175508e-05 }, + { 4.476280904875778e-05, 9.6422845628648661e-06 }, + { 4.9492054172540443e-05, 8.1422857960654321e-06 }, + { 0.038906039160252391, 0.01175139152454768 }, + { 4.2521704171879574e-05, 9.5829960740585642e-06 }, + { 7.3513773553893682e-05, 1.159880469347282e-05 }, + { 2.281025792674447e-05, 9.8221263122439812e-06 }, + { 2.732606449082445e-05, 6.2391253053831485e-06 }, + { 5.0984147807499033e-05, 7.7094798277794298e-06 }, + { 4.2175854653842816e-05, 9.0671862214437386e-06 }, + { 0.0014967794018572505, 0.0018746071544731694 }, + { 0.1424677188407687, 0.074729088760274856 }, + { 0.0032779063960295244, 0.0019391071014455451 }, + { 5.288730829818132e-05, 8.5553289347493338e-06 }, + { 2.4507884989564908e-05, 5.7509834142112643e-06 }, + { 4.0312219822364734e-05, 5.7391257164500035e-06 }, + { 5.6503906115365721e-05, 8.4426808060173605e-06 }, + { 0.00012071926834147108, 0.00013390107568607217 }, + { 0.022538669217220565, 0.058456278028040196 }, + { 0.088276609242945767, 0.19703629650770879 }, + { 0.010585111850975238, 0.017752153389533971 }, + { 0.0001834879914407027, 0.00027707289473848968 }, + { 4.0335935217887249e-05, 6.0909040833673939e-06 }, + { 3.5737124769478447e-05, 4.0612614832316658e-06 }, + { 8.8262773285941332e-05, 1.6221330537404142e-05 }, + { 0.0010870386319998598, 0.004572836161462761 }, + { 0.014178919173062498, 0.11111415766108777 }, + { 0.021197186130376619, 0.049954933238631961 }, + { 0.007605529320355341, 0.038979013408558146 }, + { 0.00045354705795340688, 0.0011777836166838251 }, + { 6.300785333741702e-05, 1.613832665307532e-05 }, + { 3.6268744885774954e-05, 2.8656102923045818e-06 }, + { 9.0391230034087558e-05, 0.00017734965656629025 }, + { 0.00083111394121857798, 0.0091825003558890349 }, + { 0.0029010786425914719, 0.010299689160729861 }, + { 0.0042229431684894106, 0.010203669476825094 }, + { 0.0024424466085814444, 0.012618829546574919 }, + { 0.00047847589121349657, 0.0020237552531972621 }, + { 5.9689674247224334e-05, 4.6662016973519644e-05 }, + { 5.0794424643318869e-05, 6.770745421679653e-06 }, + { 0.00021098401626610521, 0.0018905359951324626 }, + { 0.00039301746344809328, 0.00083480959035417076 }, + { 0.0012928210715146922, 0.0022745850865071226 }, + { 0.0020035398547972737, 0.0029676556629550281 }, + { 0.00078986298699011345, 0.0017729688981125264 }, + { 0.00038625659944121468, 0.00091573837757477259 }, + { 0.00014157893498648822, 0.00019163422980268853 }, + { 0.00010930821052921822, 3.6150167908162354e-05 }, + { 0.00011003350637561532, 4.7122490903248587e-05 }, + { 0.00015736548327264615, 0.00018170340792763302 }, + { 0.00048725849268867004, 0.00068383342989188371 }, + { 0.00091141624674079323, 0.00091449924815872094 }, + { 0.00033387126701492673, 0.00043939291939238247 }, + { 0.00016899393221052214, 7.7638276091852062e-05 }, + { 0.00013519158845908932, 3.0069145239596008e-05 }, + }, + // f7 pawn + { + { 3.7288506893243342e-05, 2.3739110918043197e-05 }, + { 4.0703523848486324e-05, 2.314820231294039e-05 }, + { 3.2501949563614587e-05, 1.5895243848969482e-05 }, + { 2.7622506934855957e-05, 8.6284514042771059e-06 }, + { 3.0786535954152261e-05, 6.0375444434417224e-06 }, + { 6.0073073141505086e-05, 6.9999942450640197e-06 }, + { 2.9185746756382112e-05, 9.8774622351298622e-06 }, + { 2.595847668235909e-05, 1.3897221776197117e-05 }, + { 4.2822099181831501e-05, 1.9748995621379094e-05 }, + { 0.00011190109377301382, 2.0401168998248413e-05 }, + { 5.8675841088636574e-05, 1.4529632323464335e-05 }, + { 5.4094817186869667e-05, 9.3181741573904163e-06 }, + { 5.5796396815610521e-05, 7.535566927280945e-06 }, + { 0.33099389586272593, 0.12262346440442452 }, + { 0.00010391098176488456, 1.0946631316603503e-05 }, + { 2.7401163243312433e-05, 9.1600715205736113e-06 }, + { 5.7529596971714742e-05, 1.3940700001321738e-05 }, + { 7.7381359307024763e-05, 1.223912037258088e-05 }, + { 5.6490072134644255e-05, 1.2725285980792554e-05 }, + { 4.4165971594774343e-05, 9.0138265815180671e-06 }, + { 0.014060834289906987, 0.026107203832812658 }, + { 0.0687875837635675, 0.056087121873038145 }, + { 0.012796169321726407, 0.011595895604955391 }, + { 2.304543559900947e-05, 4.6620515031355233e-06 }, + { 3.9061232708551767e-05, 5.928848880630169e-06 }, + { 0.00010540702796576356, 1.4883386973341935e-05 }, + { 6.0723270235414193e-05, 1.1867579176061389e-05 }, + { 0.00086463565278966097, 0.0019565734902478814 }, + { 0.0099028456134708006, 0.033723276622760721 }, + { 0.063233641689338052, 0.081543778809857734 }, + { 0.0053140766587828261, 0.011069562045577448 }, + { 0.00027981399920430107, 0.00058786315306112312 }, + { 3.9600757956689112e-05, 4.416992416069476e-06 }, + { 8.4165938709425883e-05, 1.0094853360752969e-05 }, + { 0.00012789515176999381, 0.00012050978234768882 }, + { 0.00084744989616767426, 0.0022148104320926093 }, + { 0.0085016866863603519, 0.031959436175641405 }, + { 0.0158199415393366, 0.023426587459564462 }, + { 0.0035560958906405327, 0.011780164228165378 }, + { 0.00026434958504065734, 0.0005014956351340233 }, + { 3.9616568220370788e-05, 2.9940686847182354e-06 }, + { 8.9689649583212986e-05, 1.2351768501312853e-05 }, + { 0.00011020346671019338, 0.00022424882749503511 }, + { 0.00045788302276810779, 0.0013158388391522587 }, + { 0.0019549272465420263, 0.0055929855203913506 }, + { 0.0051821459372080828, 0.0090120222351753963 }, + { 0.001508139076312538, 0.006978442879382929 }, + { 0.0002816736814698587, 0.00055110231371825595 }, + { 6.05473810519555e-05, 2.6106697904374846e-06 }, + { 0.00013730225866059366, 1.9513817949114098e-05 }, + { 0.00010084379061063854, 6.8324054500382077e-05 }, + { 0.00023225079720092561, 0.0003677111601426035 }, + { 0.00095622451029763584, 0.0013960759273367871 }, + { 0.0019367434670251337, 0.0023525810698147727 }, + { 0.0008055270057327384, 0.0013764652715226226 }, + { 0.00018957889552407008, 0.00030539698212422021 }, + { 0.00011171927574067449, 3.5375464987760011e-06 }, + { 0.00015598208520049912, 6.0553309900836126e-06 }, + { 8.9744985506098874e-05, 2.0873500625738616e-05 }, + { 0.00014648011672780916, 0.00011227856381841394 }, + { 0.0004097407698573908, 0.00044634745912936169 }, + { 0.00098650511781397422, 0.0008493036495843513 }, + { 0.00032622700452483423, 0.00022521127729665741 }, + { 0.00016212042007491157, 5.1322092193694954e-05 }, + }, + // g7 pawn + { + { 4.8422885091066802e-05, 2.4865592205362931e-05 }, + { 4.8049367611587099e-05, 2.631223133223669e-05 }, + { 3.7233170970357461e-05, 1.9741090489538252e-05 }, + { 3.3075071622075503e-05, 1.0484181103914349e-05 }, + { 2.9679817496434626e-05, 8.2094794167125739e-06 }, + { 3.2598787428664884e-05, 6.822128778645115e-06 }, + { 6.1523664834299267e-05, 5.762841111972525e-06 }, + { 2.347033643545463e-05, 7.1600731648410342e-06 }, + { 7.8055271796456392e-05, 2.4339900937947054e-05 }, + { 0.00013196234210210609, 2.4654129928620453e-05 }, + { 7.4403100885988202e-05, 1.7440697123853749e-05 }, + { 6.1399159007806026e-05, 1.0832006904911319e-05 }, + { 5.6907067839248578e-05, 8.6877398930834078e-06 }, + { 5.698611915765698e-05, 8.256910207757615e-06 }, + { 0.33473968922586816, 0.069544087094189272 }, + { 2.5930808720916149e-05, 6.4387298843643642e-06 }, + { 4.8152134325518023e-05, 1.0958489014364762e-05 }, + { 0.00013097024805608064, 1.9124490205952716e-05 }, + { 7.4869503664597772e-05, 1.5701568118868899e-05 }, + { 5.3754896517713536e-05, 1.0553351007521701e-05 }, + { 4.8160039457358868e-05, 9.1067118806479399e-06 }, + { 0.01752537887241579, 0.019324488065243013 }, + { 0.17655079753926525, 0.07299862180350461 }, + { 0.0070715791664487486, 0.0095766166326630049 }, + { 4.175293010035786e-05, 6.3359631704334412e-06 }, + { 9.0723245571402845e-05, 1.3907103190998167e-05 }, + { 0.0001091678944390433, 1.8245044288659239e-05 }, + { 6.8760813034588492e-05, 1.4454533570976354e-05 }, + { 0.0010648133538293375, 0.0019684153777454602 }, + { 0.011493632843179323, 0.02135268995510075 }, + { 0.055416430724831656, 0.062076844221408703 }, + { 0.0044365378545459539, 0.0094152827732062582 }, + { 4.2559253548123567e-05, 5.0948574714215256e-06 }, + { 9.1604667771656533e-05, 1.0768765850184598e-05 }, + { 7.9997957946342869e-05, 1.4592873378191056e-05 }, + { 0.00014342478327132442, 0.00010465011159200312 }, + { 0.00083541828550591545, 0.002509733114527716 }, + { 0.0053131280429619251, 0.01641192524236976 }, + { 0.016858160053370392, 0.029202819864875367 }, + { 0.0026527389258114761, 0.0074247270974575645 }, + { 5.2695608851040944e-05, 3.5790484409404123e-06 }, + { 8.8628385633580196e-05, 8.094855005020391e-06 }, + { 7.8272662922079493e-05, 1.7160064943503918e-05 }, + { 9.5624427312723784e-05, 9.5326008585732076e-05 }, + { 0.00041200559012979151, 0.00089742613966546625 }, + { 0.0021014429363631197, 0.0073536500807936094 }, + { 0.0041570044875220025, 0.0076965924865959002 }, + { 0.0015592852793227742, 0.004272887791459839 }, + { 7.087148323609283e-05, 2.7865589738961794e-06 }, + { 0.00015514018865944964, 5.9881373694364708e-06 }, + { 8.477265757821037e-05, 1.0140307868837799e-05 }, + { 9.0331941545281262e-05, 4.0660045623361704e-05 }, + { 0.00022489111945710337, 0.00030899381711180251 }, + { 0.00078570093507591109, 0.001263032558455446 }, + { 0.0020208165204354299, 0.0022154705106013192 }, + { 0.00075465550605397131, 0.0010701157210115811 }, + { 0.00014188525884532079, 2.697626240686727e-06 }, + { 0.00015874888134479321, 3.6798388719111249e-06 }, + { 0.00010202758410380438, 6.1976233632187368e-06 }, + { 0.00010297619992470521, 2.1235160407457058e-05 }, + { 0.00015701963375460942, 9.3442610924651881e-05 }, + { 0.00037232380457173381, 0.00034427639680043265 }, + { 0.0011237362302880004, 0.00072859031009176085 }, + { 0.0003514008968719899, 0.00024406501673706135 }, + }, + // h7 pawn + { + { 0.00012482005548390695, 3.7521708282548133e-05 }, + { 6.8231169201252203e-05, 3.493673017059338e-05 }, + { 5.6972285176935509e-05, 3.0160054255765671e-05 }, + { 4.7972292576138908e-05, 1.6903148158676612e-05 }, + { 4.3818145793777373e-05, 1.3873506380674596e-05 }, + { 3.8739098586037523e-05, 1.4764809995729331e-05 }, + { 3.6126452512639833e-05, 7.6640253196945982e-06 }, + { 6.6984134653359651e-05, 3.3280605049937351e-06 }, + { 8.3656057705691693e-05, 2.5286540475887672e-05 }, + { 0.00025481006719172344, 4.4322097948630936e-05 }, + { 0.00010349200977732003, 2.5792468913701447e-05 }, + { 9.6624426490590079e-05, 1.6693662164894345e-05 }, + { 7.8169896208148576e-05, 1.3395245904303762e-05 }, + { 7.5561202700671302e-05, 1.3586945351444138e-05 }, + { 0.00010977461330782779, 9.7292410131141084e-06 }, + { 0.38425866234860961, 0.070409201007455305 }, + { 6.5994016890294412e-05, 1.2581017324697219e-05 }, + { 0.00014394454568985966, 2.2488123804230233e-05 }, + { 0.00017793463632251243, 3.2934755531900592e-05 }, + { 7.5173851240470128e-05, 1.5859670755685704e-05 }, + { 7.2424841642817936e-05, 1.397627309460552e-05 }, + { 6.1863585503455398e-05, 1.2754930225195704e-05 }, + { 0.015341226517884918, 0.011791486353244422 }, + { 0.17049132821266297, 0.059575676317230535 }, + { 5.6743036353551139e-05, 9.021731713358907e-06 }, + { 0.00013223309286765488, 1.9221328071003009e-05 }, + { 0.00011241295105970822, 2.2634368743285777e-05 }, + { 0.00017673898513158534, 3.115610086771154e-05 }, + { 7.3820097412726236e-05, 1.6466389624470191e-05 }, + { 0.00064628010108197227, 0.0011139556059179209 }, + { 0.010651040650527844, 0.031655746701994808 }, + { 0.068582178794098073, 0.041805981440141742 }, + { 6.7403106640924178e-05, 7.8794401623574954e-06 }, + { 0.00012714021167919355, 1.5940698357054314e-05 }, + { 0.00011261650820460986, 1.991895595595716e-05 }, + { 0.00010929832911441717, 2.09485993782266e-05 }, + { 0.00020984172471510379, 7.7450529210632116e-05 }, + { 0.00067402118499444079, 0.0020864666640906479 }, + { 0.0068450655186813123, 0.024758384783620416 }, + { 0.020453771721800323, 0.018472358331025562 }, + { 6.9565160199393982e-05, 4.9604702301272413e-06 }, + { 0.00014497616539508931, 1.2314219125068862e-05 }, + { 0.00010420149536003543, 1.5460461597723272e-05 }, + { 0.00010161256468216026, 1.5833979077202971e-05 }, + { 0.00012293072897394614, 7.9995981663382658e-05 }, + { 0.00064253702115533442, 0.0019962987540310638 }, + { 0.0029752366843903938, 0.014908904738924167 }, + { 0.0088658938968145043, 0.0081938312082336304 }, + { 0.00010744062313181972, 4.2549372133322511e-06 }, + { 0.00021689507860009349, 8.5711391984310153e-06 }, + { 0.00013090305443543351, 9.9960392127424659e-06 }, + { 0.00010877659041292172, 1.0938726184762662e-05 }, + { 0.00014103150460651004, 4.8685730724774742e-05 }, + { 0.00032240289699682779, 0.00073784129062850416 }, + { 0.0013189475322486692, 0.0023302332621007171 }, + { 0.0038602853638760645, 0.0036054614627036197 }, + { 0.00017568760259675358, 4.1126448401971277e-06 }, + { 0.00022322313663868608, 5.7351731505295836e-06 }, + { 0.00013728842467987219, 8.4486096548979908e-06 }, + { 0.00014989710996601236, 1.4847813880058155e-05 }, + { 0.0001501777421463622, 2.8604719566080358e-05 }, + { 0.00022047215075807368, 0.00014258881557915556 }, + { 0.00056769716173513975, 0.00043600557039858242 }, + { 0.0017119985925070861, 0.0014726371292153246 }, + }, + // a2 pawn + { + { 0.0023161759614047433, 0.0025510473098109073 }, + { 0.00075842823022501235, 0.00077207446406526276 }, + { 0.00028771913104514129, 0.00016019947303758737 }, + { 0.00020004133751542211, 4.2796407503348775e-05 }, + { 0.00020646228085314459, 1.923318576876427e-05 }, + { 0.00020173698829528236, 3.5314200215993498e-05 }, + { 0.00027472902314768058, 1.3853743551072495e-05 }, + { 0.00023875869698889734, 9.1600715205736113e-06 }, + { 0.0050583654065612469, 0.0050855847517722198 }, + { 0.0016759156182195708, 0.0022485159379789918 }, + { 0.0003974641001085659, 0.00050048377825839569 }, + { 0.00018714016235117086, 7.0928795441938929e-05 }, + { 0.00015511844954688733, 1.6861646216512203e-05 }, + { 0.00021100970794458795, 2.0150181062301737e-05 }, + { 0.00029405707049853493, 1.6150184350836581e-05 }, + { 0.00013824099306669344, 6.4565164310062544e-06 }, + { 0.0084067104798585778, 0.0086556687732051198 }, + { 0.0025905986606935914, 0.011191427558035842 }, + { 0.00064581567458632289, 0.0023326443273121735 }, + { 0.00016083188358485459, 0.00013630423576568759 }, + { 0.00014736746777694348, 2.6855709146294458e-05 }, + { 0.00016624689889583016, 2.8853731219066823e-05 }, + { 0.00020281603879155705, 2.5013813427378683e-05 }, + { 9.3551306487463446e-05, 8.5177795585053438e-06 }, + { 0.021591332051394994, 0.017973271784820034 }, + { 0.006635115098403397, 0.030144406047286729 }, + { 0.00080458431876071813, 0.0019571960193803476 }, + { 0.00026579227160161071, 0.00010817382411005764 }, + { 0.00015930619313957243, 3.4721315327930483e-05 }, + { 0.00016794057339273018, 3.4861631418105393e-05 }, + { 0.00017738720594253425, 2.6723298187960382e-05 }, + { 9.3248935194551301e-05, 1.1859674044220549e-05 }, + { 0.074897130124098557, 0.042749253391918159 }, + { 0.0089758523044376308, 0.027255837275833385 }, + { 0.00054840468747756918, 0.00089144985999379102 }, + { 9.3762768764205914e-05, 2.1830021578480284e-05 }, + { 0.00024812430193733279, 5.0416954597918751e-05 }, + { 0.0001565255630145569, 3.5889298557414625e-05 }, + { 0.00017748009124166411, 2.8913019707873126e-05 }, + { 8.0446574178310551e-05, 1.190710483526559e-05 }, + { 0.13468038729833773, 0.046345035020682671 }, + { 0.011004336802758675, 0.0089764353079108926 }, + { 7.8644204118598991e-05, 1.5561252028693985e-05 }, + { 9.0108621570777526e-05, 1.7480222783057951e-05 }, + { 9.6011778772924958e-05, 2.0701564008200339e-05 }, + { 0.00022954328954543783, 4.6308262323642041e-05 }, + { 0.000169086817509652, 2.9229224981506736e-05 }, + { 7.8173848774068999e-05, 1.3513822881916366e-05 }, + { 0.41701172040143147, 0.083980907240993261 }, + { 0.00012659278129921537, 1.1998013851435252e-05 }, + { 9.2371465560218036e-05, 1.6958484081562493e-05 }, + { 9.1100715616802976e-05, 1.6124492672353851e-05 }, + { 0.00010559872741290395, 1.9476268572870105e-05 }, + { 0.00010428449924436425, 2.8432782948542081e-05 }, + { 0.00025005315410649783, 5.2897189712982369e-05 }, + { 7.9243017855542633e-05, 2.4276659883220335e-05 }, + { 9.7407034542833259e-05, 5.2786517867210607e-06 }, + { 5.2901142278902792e-05, 1.0337936164858805e-05 }, + { 4.4397196701118916e-05, 1.6705519862655606e-05 }, + { 5.2731181944324726e-05, 1.5292477546105418e-05 }, + { 5.0482171935605682e-05, 1.8667968842144192e-05 }, + { 5.819165176338511e-05, 3.1086930964104187e-05 }, + { 6.1241056370989235e-05, 3.5260840576067828e-05 }, + { 0.00011368962985200392, 3.5193646955420686e-05 }, + }, + // b2 pawn + { + { 0.0004048889951900751, 0.00037437518628443182 }, + { 0.0013998130784145441, 0.0012815681163392562 }, + { 0.00053631774089292451, 0.00062712794291457661 }, + { 0.00023264407751000742, 0.00017780420164713857 }, + { 0.00014969948166999135, 3.9938702342885032e-05 }, + { 0.00014643663850268454, 3.2132384650055307e-05 }, + { 0.00018975873727344921, 1.0626473477049473e-05 }, + { 0.00018347415745998121, 6.2015759291391568e-06 }, + { 0.00078576812869655824, 0.00094782530771674305 }, + { 0.0026681736957307163, 0.0029609046803629503 }, + { 0.0012344278388893657, 0.001755379979766657 }, + { 0.00037662814885907128, 0.0005754125704117998 }, + { 0.0001449149006233228, 9.998806008886759e-05 }, + { 0.00014103150460651004, 4.3723284211687288e-05 }, + { 0.0002049484481056237, 1.3529633145598047e-05 }, + { 9.1078976504240666e-05, 4.420944981989896e-06 }, + { 0.0011391255456991562, 0.0040765915101540155 }, + { 0.004251490575849645, 0.0076604581289514201 }, + { 0.0022477076382482657, 0.009713379366075461 }, + { 0.00068185912321463385, 0.0015548366663793414 }, + { 0.00016498603036721614, 0.00030035746057568459 }, + { 0.00012637934273951269, 4.9727231844805439e-05 }, + { 0.00012941491336639533, 1.6924887271238922e-05 }, + { 6.6841842280224522e-05, 6.0375444434417224e-06 }, + { 0.002185905317516577, 0.0086641331931236985 }, + { 0.019333634302782867, 0.028921446578415461 }, + { 0.0069667729285028887, 0.022055610325822341 }, + { 0.0012611847338876497, 0.0051866459335084816 }, + { 0.00028796221384924713, 0.00037168348889262575 }, + { 0.00012545839488005479, 2.6936736747663068e-05 }, + { 0.00012794851140991947, 1.9223304353963217e-05 }, + { 5.9650148588020136e-05, 7.9822068762884176e-06 }, + { 0.0024528576672158309, 0.0053029284466042806 }, + { 0.068103396579025741, 0.071667537917597279 }, + { 0.012336282348036647, 0.023641707836066284 }, + { 0.0023147273459949093, 0.0036305424697516456 }, + { 8.6829968139789045e-05, 2.068180117859824e-05 }, + { 0.00014575482088141208, 2.9924876583500675e-05 }, + { 0.00012293863410578698, 2.1365595082830919e-05 }, + { 6.0005879520857944e-05, 8.8438662469400032e-06 }, + { 0.0033591770802022425, 0.0040495856035027448 }, + { 0.10716072019988221, 0.042802824494120574 }, + { 0.028047536229693533, 0.031005980437771023 }, + { 5.8112600444976707e-05, 1.1320148796083204e-05 }, + { 6.4266745583070825e-05, 1.3365601659900612e-05 }, + { 8.6494000036553323e-05, 2.0007888689166612e-05 }, + { 0.00015036944159350257, 2.6207488335345558e-05 }, + { 5.9100741925081735e-05, 1.1482203998820428e-05 }, + { 3.0330014590343737e-05, 6.8833935504116264e-06 }, + { 0.33116592338928036, 0.11528828861674295 }, + { 6.8152117882843793e-05, 1.0094853360752969e-05 }, + { 6.2665956385300677e-05, 1.0250979714609563e-05 }, + { 6.4681765004714943e-05, 1.258496989061764e-05 }, + { 7.1535514310723416e-05, 1.9059272868265785e-05 }, + { 0.00012052756889433071, 2.6808278355249415e-05 }, + { 7.2928793797671506e-05, 2.3926857799263154e-05 }, + { 2.7875471153762845e-05, 7.7786497313867828e-06 }, + { 7.5711400205647262e-05, 7.0513776020294816e-06 }, + { 3.7454514661900991e-05, 7.5691637376045159e-06 }, + { 3.3458470516356255e-05, 8.7371469670886602e-06 }, + { 3.3974280368971078e-05, 1.1047421747574216e-05 }, + { 3.5980207573584289e-05, 2.0124489383819004e-05 }, + { 4.3707473948005611e-05, 2.5859662534348589e-05 }, + { 4.4071110012684257e-05, 2.2820139341545523e-05 }, + }, + // c2 pawn + { + { 0.00016183583532864131, 9.5557233692076642e-05 }, + { 0.00033861632240239105, 0.00034462817516735006 }, + { 0.0011305366199540832, 0.0012873171234705071 }, + { 0.00050347389437719356, 0.00067034727497141029 }, + { 0.00021031405634259399, 0.0001784583513069681 }, + { 0.00014226075260776071, 9.801968226049838e-05 }, + { 0.00017266586595059242, 1.7895242204702062e-05 }, + { 0.00015217774050209476, 6.818176212724695e-06 }, + { 0.0001819405618828582, 0.00022413025051742249 }, + { 0.00081288668347656058, 0.0012631847322433821 }, + { 0.0024237806160222605, 0.0030797425273263014 }, + { 0.0013471115407146226, 0.0022216701102474984 }, + { 0.00038865975952083009, 0.00079377009840244869 }, + { 0.0001813654635414371, 0.0004219423408537277 }, + { 0.00017741487390397718, 5.212643935850045e-05 }, + { 7.7011794393465476e-05, 4.0632377661918762e-06 }, + { 0.00024702548861145598, 0.0011506986587141463 }, + { 0.0011779693872820847, 0.0070127768432506586 }, + { 0.0044123560562448231, 0.010068966030257177 }, + { 0.0029928671046784276, 0.0088115322814280063 }, + { 0.00078266931701494885, 0.0042814411441116284 }, + { 0.00020375477319765681, 0.00061968526128642547 }, + { 0.0001182074126990441, 2.0057295763171862e-05 }, + { 5.1958455306882596e-05, 5.2391261275168595e-06 }, + { 0.00016556112870863728, 0.00038817952276149907 }, + { 0.0036005207553030947, 0.015424001153390356 }, + { 0.019838505429212928, 0.031317205478344906 }, + { 0.013079216519853613, 0.09722164141461892 }, + { 0.0021513243182788213, 0.0061481490955928387 }, + { 0.00015593070184353365, 7.9241041572582422e-05 }, + { 0.00011538528063186415, 1.9092869678589356e-05 }, + { 5.2237111204272212e-05, 7.0237096405865403e-06 }, + { 0.00010924694575745171, 0.00019633580696502826 }, + { 0.0039255382746562805, 0.011818253129657506 }, + { 0.080398655245374345, 0.11946648281016432 }, + { 0.017436037048633574, 0.042936852051916101 }, + { 0.00041308266434310597, 0.00073093220539960976 }, + { 7.4697567047059501e-05, 1.7952554410548154e-05 }, + { 0.00013479830815000754, 2.3747016049884039e-05 }, + { 5.713631666263294e-05, 8.9999926007965969e-06 }, + { 2.2833973322266991e-05, 4.9328022686843008e-06 }, + { 0.0037973565618570557, 0.003404005106588687 }, + { 0.10643081566162191, 0.069205988557922454 }, + { 0.0064990420877440542, 0.0088518563589481316 }, + { 5.1098772219191218e-05, 1.0940702467722873e-05 }, + { 6.1515759702458422e-05, 1.5616587951579866e-05 }, + { 8.2118509562648264e-05, 1.4810264503814163e-05 }, + { 6.7452513714929432e-05, 1.50731101375221e-05 }, + { 2.6999977802389791e-05, 9.1739055012950816e-06 }, + { 8.7221272165910628e-05, 9.8320077270450306e-06 }, + { 0.20144712094465947, 0.070506074445598879 }, + { 5.714619807743399e-05, 8.7312181182080298e-06 }, + { 5.399797932181937e-05, 1.0266789978291243e-05 }, + { 5.4596793058763019e-05, 1.5162042870731553e-05 }, + { 9.381612840413159e-05, 2.1365595082830919e-05 }, + { 3.7863605234664469e-05, 1.7598799760670551e-05 }, + { 2.6088911357732954e-05, 1.2881412334649148e-05 }, + { 3.0632385883255871e-05, 8.590902028033116e-06 }, + { 5.9681769115383496e-05, 7.7055272618590107e-06 }, + { 3.2707482991476434e-05, 6.8675832867299457e-06 }, + { 2.7693653121423522e-05, 8.9624432245526052e-06 }, + { 3.0118552313601259e-05, 1.5561252028693985e-05 }, + { 3.4579022954795354e-05, 2.2367570543657418e-05 }, + { 3.174503318985414e-05, 2.0499983146258914e-05 }, + }, + // d2 pawn + { + { 9.4150120224407088e-05, 5.9889278826205548e-05 }, + { 0.00014046233511396956, 0.00010442086276861875 }, + { 0.00033810248883273645, 0.00049544030414393973 }, + { 0.00089568503437752113, 0.00118281720938348 }, + { 0.00044937710090736367, 0.00055222286615669498 }, + { 0.00018847810591523308, 0.00027828633247605866 }, + { 0.0001269504885150134, 5.4369520518338861e-05 }, + { 0.00012995246233157246, 1.3664020386892331e-05 }, + { 6.0173863572475798e-05, 5.9911017938767858e-05 }, + { 0.00032909656738305923, 0.00083351117244931275 }, + { 0.00095499130973046478, 0.001669162659344533 }, + { 0.0022026207187940336, 0.0037858091405205485 }, + { 0.0011878488258001748, 0.0024147094772348963 }, + { 0.00041815380641900502, 0.0017310815807708743 }, + { 0.0002058318465888376, 0.00043573284335007346 }, + { 5.8746987275204138e-05, 8.1719300404685839e-06 }, + { 4.0377437160051665e-05, 3.6322104525700624e-05 }, + { 0.00027118752408298414, 0.0017052910881401331 }, + { 0.0020804054042516834, 0.014521221263185681 }, + { 0.0050185729491574174, 0.015172422308838576 }, + { 0.0031563768516743671, 0.018014404162070886 }, + { 0.00095767707827339014, 0.0090651921519368864 }, + { 0.00011188725979229234, 0.00012337144007407299 }, + { 4.1608661444262527e-05, 4.3952533035071658e-06 }, + { 4.0280599295001368e-05, 9.4802293601276403e-06 }, + { 0.00025653733849894701, 0.0008256416137017563 }, + { 0.0069114607210125295, 0.053674519113438832 }, + { 0.029500839382709126, 0.063715261846741242 }, + { 0.017404386877025807, 0.09069253611048414 }, + { 0.00051596597896868136, 0.0017301072732714908 }, + { 0.00011127263579166702, 2.0181801589665096e-05 }, + { 4.5112611132714961e-05, 6.0513784241631926e-06 }, + { 2.5183773761956748e-05, 3.5869535727812522e-06 }, + { 9.2812176660344887e-05, 0.00013354336847027414 }, + { 0.0060660226808983489, 0.0090535953235263752 }, + { 0.10492061729846483, 0.32718081599363746 }, + { 0.0086636351698177252, 0.023380231766449773 }, + { 8.0239064467488506e-05, 5.2094818831137091e-05 }, + { 6.5246981931335008e-05, 1.1614614957154502e-05 }, + { 5.7073075607906221e-05, 7.8794401623574954e-06 }, + { 1.9130419054833346e-05, 4.2964391554966628e-06 }, + { 4.2436724004590545e-05, 5.7173866038876934e-06 }, + { 0.002147915230172459, 0.0011734061499269598 }, + { 0.076792089040495962, 0.042094101756627804 }, + { 0.00082434517207985848, 0.00066452712165359165 }, + { 3.9677832992137303e-05, 9.5414941318941517e-06 }, + { 4.8723280101018728e-05, 8.4505859378582021e-06 }, + { 2.9302347451034508e-05, 5.95058799319248e-06 }, + { 2.0699587725240132e-05, 7.5078989658380045e-06 }, + { 5.819165176338511e-05, 8.3458429409670686e-06 }, + { 4.0326053803086199e-05, 8.7035501567650893e-06 }, + { 0.033609017823416173, 0.0048741442141423058 }, + { 4.036953202821082e-05, 7.3241046505384695e-06 }, + { 3.4962421849076106e-05, 8.9387278290300855e-06 }, + { 5.3428809829278876e-05, 1.0683785682895565e-05 }, + { 2.1015792998873741e-05, 8.4347756741765206e-06 }, + { 1.8505913639406968e-05, 9.2667908004249543e-06 }, + { 2.1723302298628941e-05, 8.5335898221870237e-06 }, + { 2.0826069834693573e-05, 7.0731167145917918e-06 }, + { 3.9626449635171845e-05, 6.3003900771496599e-06 }, + { 2.1899191482087634e-05, 5.9189674658291187e-06 }, + { 1.8120538462166009e-05, 7.7509817699438406e-06 }, + { 1.9865596316031487e-05, 1.051184906535729e-05 }, + { 1.8248996854579662e-05, 9.7588852575172585e-06 }, + }, + // e2 pawn + { + { 9.6912963802780745e-05, 3.689522658416154e-05 }, + { 9.6958418310865577e-05, 4.39999638261167e-05 }, + { 0.00014934572702011376, 0.00021523697719647724 }, + { 0.00050307073265331073, 0.00082580762147041399 }, + { 0.00087729967399868694, 0.0010156157658178684 }, + { 0.00034547007170839954, 0.00060039476331181509 }, + { 0.00016167773269182449, 0.00011050781428606573 }, + { 0.0001328042386431556, 3.8355699691756778e-05 }, + { 4.3349766732207585e-05, 3.9525659204201132e-06 }, + { 0.00018115795383061504, 0.00075307645596876349 }, + { 0.00041589886756140531, 0.0010857500955098029 }, + { 0.0014923209074990168, 0.0030684816670190247 }, + { 0.0021698598761626313, 0.0041567159502098119 }, + { 0.00095063953465208213, 0.0029157110416288671 }, + { 0.00044731386149690438, 0.0018663660545290934 }, + { 0.00010130821710628792, 0.00013054337093667528 }, + { 3.2383372586001986e-05, 2.5750966971537033e-06 }, + { 7.1527609178882571e-05, 6.0201531533918742e-05 }, + { 0.00075988277448372696, 0.0090929075441708723 }, + { 0.0041874511028069982, 0.026185255152043195 }, + { 0.0051721538505612608, 0.016798942710750657 }, + { 0.0035640939077805026, 0.029962250070561205 }, + { 0.00040074077725659417, 0.0019891367045832627 }, + { 4.6798380497774139e-05, 2.4671916475262344e-05 }, + { 3.2693649010754963e-05, 3.8537517724096101e-06 }, + { 8.1100723838140081e-05, 1.1075089709017157e-05 }, + { 0.00043475063071884908, 0.0012773843253124915 }, + { 0.017204847515382281, 0.16293402217281971 }, + { 0.045354350064407849, 0.11284279457983687 }, + { 0.0064616014070628747, 0.033907460265803414 }, + { 0.00025814603282855796, 0.00059720306633107587 }, + { 5.5899163529541445e-05, 9.9565135535382647e-06 }, + { 3.7571115356553381e-05, 5.3893236324928236e-06 }, + { 5.0003911459234851e-05, 7.7944599950684626e-06 }, + { 5.9845800601080928e-05, 3.2754913782521477e-05 }, + { 0.0097826540126797045, 0.021906211239162303 }, + { 0.10805090128621554, 0.20487691852016185 }, + { 0.0049781638914700018, 0.007654966038604996 }, + { 9.9015728872444252e-05, 0.00010484576360506391 }, + { 3.82035259038206e-05, 5.7746988097337848e-06 }, + { 2.3887332140058953e-05, 5.4802326486624868e-06 }, + { 4.6760831121530145e-05, 6.8715358526503665e-06 }, + { 3.7889296913147202e-05, 8.5474238029084939e-06 }, + { 0.00045554903259209967, 0.00057683154157723063 }, + { 0.075783558249090457, 0.033791023602636722 }, + { 0.0013183941730198104, 0.00075155471808940172 }, + { 4.4367552456715768e-05, 7.6106656797689276e-06 }, + { 2.2169942247636412e-05, 4.7252925578622451e-06 }, + { 2.2863617566670143e-05, 8.8359611150991616e-06 }, + { 6.0768724743499025e-05, 9.9505847046576343e-06 }, + { 3.924897958977172e-05, 8.8932733209452539e-06 }, + { 4.3065181985937342e-05, 7.9150132556412759e-06 }, + { 0.019312507837938222, 0.0046774269845659576 }, + { 3.5387322685521273e-05, 8.1580960597471136e-06 }, + { 5.4464382100428947e-05, 9.1442612568919315e-06 }, + { 1.887943111888667e-05, 6.9703500006608688e-06 }, + { 2.0418955544890304e-05, 1.120947695031144e-05 }, + { 2.342685821033001e-05, 1.1047421747574216e-05 }, + { 1.9843857203469176e-05, 8.6304276872373172e-06 }, + { 2.4116580963443319e-05, 6.6324056144649496e-06 }, + { 3.8207478469741023e-05, 6.1422874403328558e-06 }, + { 1.8891288816647931e-05, 6.3418920193140707e-06 }, + { 1.9377454424859603e-05, 8.4802301822613522e-06 }, + { 1.7094847605816988e-05, 8.5118507096247135e-06 }, + }, + // f2 pawn + { + { 0.00011607697966793767, 3.9268742419373822e-06 }, + { 0.0001630710121787726, 6.1146194788899144e-06 }, + { 9.2693599682732279e-05, 2.5956500399398882e-05 }, + { 0.0001575888032471499, 0.00014375679880863972 }, + { 0.00044681979075685186, 0.00052079206195751427 }, + { 0.0010528410316563851, 0.0009958094579906433 }, + { 0.00033844636206781302, 0.00026659068991753557 }, + { 0.00017600380787038719, 6.4195599396503261e-05 }, + { 6.2130383703083754e-05, 2.45849600250131e-06 }, + { 0.00014367577120727109, 1.5104730664885461e-05 }, + { 0.00010586354932957209, 8.557107589413524e-05 }, + { 0.00027816775549844609, 0.00054712603240231325 }, + { 0.0011264022360013238, 0.001769962971730047 }, + { 0.0022240633889123126, 0.0031394816086475312 }, + { 0.00090919095212759664, 0.0018037356712370767 }, + { 0.0002528041399871102, 0.0004275253402163211 }, + { 4.2288502782574789e-05, 3.1146219452910491e-06 }, + { 9.4229171542815497e-05, 1.0999990956529175e-05 }, + { 0.0001057469486349197, 0.00016153741660164959 }, + { 0.00057892640151505331, 0.0022771068235643505 }, + { 0.0026099425183081274, 0.010455086266174137 }, + { 0.0064482456868177754, 0.012876574393962554 }, + { 0.001762144796339456, 0.010693396346931066 }, + { 0.00031138511949365668, 0.00061706273379822675 }, + { 4.1090875308687491e-05, 4.5849764676873313e-06 }, + { 9.0193601738066556e-05, 1.1189714120709339e-05 }, + { 0.00012390898903925012, 9.0590834613068772e-05 }, + { 0.00070284527196910447, 0.0019487474097254498 }, + { 0.013223481223383026, 0.044811771459096983 }, + { 0.017962724362661393, 0.035300085603091676 }, + { 0.0043177691774862097, 0.012820410408516345 }, + { 0.00024226462296030997, 0.00046634151383780683 }, + { 4.1444629958565095e-05, 6.4782555435685646e-06 }, + { 0.00011393666522203017, 1.58003822668794e-05 }, + { 6.3254888707443276e-05, 1.2272717182904451e-05 }, + { 0.00070404092316003156, 0.0013681688356556609 }, + { 0.0086278822347845667, 0.022967977164666996 }, + { 0.073632690452175437, 0.092047631834358018 }, + { 0.0047304723955009552, 0.010009029320639927 }, + { 0.00020155319397998281, 0.00039545619662099252 }, + { 6.0191650119117686e-05, 1.5932793225213476e-05 }, + { 8.4312183648481434e-05, 1.3557301107040988e-05 }, + { 5.9831966620359456e-05, 1.3709474894977162e-05 }, + { 4.9086916165697381e-05, 9.7905057848806198e-06 }, + { 0.011728903400743449, 0.017377562788406877 }, + { 0.071114429676674418, 0.044499898197712155 }, + { 0.0094253064803804434, 0.0078653393834363962 }, + { 2.3996027702870504e-05, 4.4743046219155675e-06 }, + { 4.3353719298128008e-05, 2.1958479970893937e-05 }, + { 0.00012179238998886515, 2.2122511456591373e-05 }, + { 6.2784533362913284e-05, 1.5272714716503315e-05 }, + { 5.754935980131684e-05, 9.5790435081381434e-06 }, + { 5.9865563430683027e-05, 8.0770684583784999e-06 }, + { 0.33497612579037878, 0.088089623230665492 }, + { 9.4547353099409305e-05, 1.0296434222694394e-05 }, + { 2.7559265880129238e-05, 8.138333230145013e-06 }, + { 3.9519730355320498e-05, 2.7359661301148021e-05 }, + { 4.2122495013917146e-05, 2.5349781530614395e-05 }, + { 3.3160051789364539e-05, 1.7250973959673582e-05 }, + { 2.911262428685434e-05, 9.1995971797778126e-06 }, + { 3.3620525719093482e-05, 6.1007854981684442e-06 }, + { 6.8748955336827238e-05, 7.1837885603635547e-06 }, + { 3.0810251349674782e-05, 8.3339852432058079e-06 }, + { 2.728258626569983e-05, 1.2049397208400714e-05 }, + }, + // g2 pawn + { + { 0.00015198999362087481, 2.8853731219066824e-06 }, + { 0.00016687140431125653, 4.1462416505206986e-06 }, + { 0.00010717580121515157, 7.2727212935730075e-06 }, + { 0.00010816987154413723, 2.6276658238952911e-05 }, + { 0.00016800579073041711, 0.00010143667549870157 }, + { 0.00038541272661720501, 0.00038227241299343119 }, + { 0.0012146847721168671, 0.00083074832887093913 }, + { 0.00036451748687890408, 0.00027086934252639036 }, + { 7.5039463999175844e-05, 2.7806301250155494e-06 }, + { 0.00016771725341822643, 6.4071093570010029e-06 }, + { 8.874103376231217e-05, 1.0559279856402331e-05 }, + { 9.9114543020454747e-05, 5.1806281518946418e-05 }, + { 0.00024820335325574118, 0.00038097794765449362 }, + { 0.00086800323895385887, 0.0016127397808305358 }, + { 0.002241150331386289, 0.0024737865037644555 }, + { 0.00089243404890797565, 0.0012674436220226348 }, + { 5.6938688366611938e-05, 3.7233170970357461e-06 }, + { 9.4484112044682586e-05, 8.4189654104948408e-06 }, + { 8.4503883095621803e-05, 1.6442674228947669e-05 }, + { 0.00010241691184696575, 0.00010298015249062562 }, + { 0.00047249763525886114, 0.0012500760473683088 }, + { 0.0025004366794828879, 0.009016178358240718 }, + { 0.004694972424686702, 0.0094397274171410962 }, + { 0.0017678285861330201, 0.0048032332052470091 }, + { 4.4529607659452989e-05, 5.3616556710498831e-06 }, + { 0.00010145050947942303, 1.1772717593971307e-05 }, + { 8.4725226787165327e-05, 1.5671923874465747e-05 }, + { 0.0001496125252197421, 9.1912967913449311e-05 }, + { 0.00083302895940702147, 0.0026732033358644511 }, + { 0.0052304423401896968, 0.019635402829392141 }, + { 0.021720537478767607, 0.033325114894767201 }, + { 0.0026130472588386171, 0.0082017738894507152 }, + { 4.556715621356327e-05, 7.1146186567562034e-06 }, + { 9.861651971448181e-05, 1.5102754381925251e-05 }, + { 0.00012063033560826163, 2.0075082309813753e-05 }, + { 7.3326026672673722e-05, 1.5337932054190249e-05 }, + { 0.00094435297855565402, 0.0015493920068239627 }, + { 0.0098343535749188006, 0.018758626870377909 }, + { 0.059500668473758726, 0.065784955797348596 }, + { 0.003237580342226438, 0.0064243959040539604 }, + { 5.1768732142702431e-05, 1.2067183755042605e-05 }, + { 0.00014822517458167465, 2.2486147521270022e-05 }, + { 8.1578984314510918e-05, 1.755927410146635e-05 }, + { 5.9448567726078704e-05, 1.155335018538799e-05 }, + { 5.2707466548802205e-05, 9.5928774888596137e-06 }, + { 0.018260937556225251, 0.01885835801368195 }, + { 0.13572349908898099, 0.050359930929384851 }, + { 0.0057292838273081577, 0.0079927760375596221 }, + { 8.2916927878573133e-05, 2.9162031360859594e-05 }, + { 0.000150138216487158, 2.7918949378887468e-05 }, + { 8.0855664751074035e-05, 1.9476268572870105e-05 }, + { 6.7735122178239478e-05, 1.1472322584019377e-05 }, + { 6.3879394122869651e-05, 9.6462371287852852e-06 }, + { 6.182801241017161e-05, 8.5829968961922744e-06 }, + { 0.38282501332963331, 0.068301216574493881 }, + { 2.7683771706622469e-05, 5.4881377805033267e-06 }, + { 5.3717347141469542e-05, 2.9980212506386556e-05 }, + { 5.0992052939339878e-05, 2.9747011117081768e-05 }, + { 3.9428821339150835e-05, 2.173713627935041e-05 }, + { 3.6490088577318479e-05, 1.1667974597080173e-05 }, + { 3.4140288137628722e-05, 8.9624432245526052e-06 }, + { 3.638534558042735e-05, 7.0671878657111614e-06 }, + { 7.482404915651294e-05, 6.0138290479192018e-06 }, + { 2.5405117453500276e-05, 6.4703504117277247e-06 }, + }, + // h2 pawn + { + { 0.0001930788926466021, 4.7608656511460256e-06 }, + { 0.00024419149884651476, 6.3181766237915501e-06 }, + { 0.00014692873295977686, 1.0499991367596029e-05 }, + { 0.00016419551718313213, 1.7689708776840214e-05 }, + { 0.00016504531885602245, 3.292092155117912e-05 }, + { 0.000247966199300516, 0.00017805321330012502 }, + { 0.00061177420059670465, 0.00050038694039334546 }, + { 0.0019319628385443858, 0.0016984373388341245 }, + { 0.00011633784901868539, 4.3853718887061155e-06 }, + { 0.00023885553485394762, 9.1501901057725619e-06 }, + { 0.00014160462666497095, 1.1233192345833961e-05 }, + { 0.00012061452534457995, 1.3355720245099561e-05 }, + { 0.00015872516594927068, 5.4701536055654154e-05 }, + { 0.00037919731670734439, 0.0010346117976314075 }, + { 0.0014973880970089953, 0.0028175569721270743 }, + { 0.0045679863630784055, 0.0042543186367657061 }, + { 7.4758831818826009e-05, 5.4525646872195455e-06 }, + { 0.00015956113364143953, 1.3573111370722667e-05 }, + { 0.00011565800768037314, 1.752765357410299e-05 }, + { 0.00011392678380722913, 1.7452554821615007e-05 }, + { 0.00014285166121286351, 0.00011344061819901745 }, + { 0.00068775635156790064, 0.0020612018627273222 }, + { 0.0035682539834117448, 0.023711027937178612 }, + { 0.011521178275078731, 0.0097330137372851483 }, + { 7.3776619187601616e-05, 8.6976213078844589e-06 }, + { 0.00014141687978375101, 1.82569019864205e-05 }, + { 0.00012209673756473751, 2.2039507572262548e-05 }, + { 0.00012193665864496048, 2.4501956140684278e-05 }, + { 0.00023556897629111831, 7.6687683987991035e-05 }, + { 0.00060708250484916594, 0.0020700437526913022 }, + { 0.007456171735637466, 0.024579379001933469 }, + { 0.024333596595303986, 0.022723246140572344 }, + { 6.2792438494754129e-05, 1.0021730891225197e-05 }, + { 0.00014987537085345005, 2.1248994388178526e-05 }, + { 0.00012647420432160278, 2.5428832849022797e-05 }, + { 0.00020137730479652413, 3.4794437797458252e-05 }, + { 8.4733131919006172e-05, 1.9027652340902422e-05 }, + { 0.00048215177751948727, 0.00079545982033342834 }, + { 0.0096873438143576553, 0.028228982720836342 }, + { 0.07236386540836362, 0.043188399275940516 }, + { 7.2551323752271388e-05, 1.5349789751951507e-05 }, + { 0.00016339314630128683, 2.559879318360086e-05 }, + { 0.00020434765808571983, 3.7171906198590952e-05 }, + { 8.7867516693899313e-05, 1.8298403928584913e-05 }, + { 8.5215344961297418e-05, 1.5517773803569364e-05 }, + { 7.1539466876643839e-05, 1.4057300695974132e-05 }, + { 0.011677103048073383, 0.0081560170100729718 }, + { 0.1775299587895991, 0.054488518444221992 }, + { 9.1764746691433549e-05, 3.0312228043701846e-05 }, + { 0.00029102347615461249, 5.3288493739103959e-05 }, + { 0.00011631610990612308, 2.8711438845931701e-05 }, + { 0.00011080228044713702, 1.8671921408064615e-05 }, + { 9.2284509109968795e-05, 1.542488850443949e-05 }, + { 8.5752893926474552e-05, 1.4658090715877988e-05 }, + { 0.00010854734158953735, 1.0335959881898596e-05 }, + { 0.38052643023914035, 0.0532775451315044 }, + { 0.00013887537989692089, 4.650589061966305e-05 }, + { 7.4391243188226948e-05, 3.9660046445495416e-05 }, + { 6.2831964153958327e-05, 3.3369537783146803e-05 }, + { 5.5648175593594772e-05, 1.8665992559183984e-05 }, + { 5.3992050472938743e-05, 1.543081735332012e-05 }, + { 4.5835930696151837e-05, 1.5970342601457466e-05 }, + { 4.1974273791901391e-05, 7.6739067344956494e-06 }, + { 8.378056353218492e-05, 3.673910023030495e-06 }, + }, + // a1 rook + { + { 0.0037913960924490621, 0.0084351946461640858 }, + { 0.0031569776416942707, 0.0056204439958405092 }, + { 0.0036927143553968935, 0.013013920130848271 }, + { 0.0055073709662720911, 0.025206773743047674 }, + { 0.0046011207231892864, 0.013264461426845942 }, + { 0.0030391160785132637, 0.0086647260780117613 }, + { 0.0021053777157368976, 0.0023927312344344002 }, + { 0.0027564048484892945, 0.0018008364641344484 }, + { 0.0070758874633020065, 0.0036351946398399801 }, + { 0.0073497291354005529, 0.0046388637751633788 }, + { 0.0069316761194125184, 0.0063736291473720846 }, + { 0.0069492729428902288, 0.0099253258321431899 }, + { 0.0053485667490044122, 0.0073291125515596413 }, + { 0.00466503569040544, 0.006592269283826043 }, + { 0.0040034393963818398, 0.0039536706625948699 }, + { 0.0042563482793658413, 0.0016458879749221393 }, + { 0.0033376158331063508, 0.003046920419923133 }, + { 0.002726847560536393, 0.0030289263635704207 }, + { 0.0032411771772140204, 0.005626307627383453 }, + { 0.0039709078025738226, 0.0072028893351739854 }, + { 0.0029277584625543073, 0.0055997780049255926 }, + { 0.0023196581719806333, 0.0040796013891024156 }, + { 0.002030678172406878, 0.0027635333011267723 }, + { 0.0021502373626507056, 0.0013073072256130319 }, + { 0.0023659466714746735, 0.0027522507017069329 }, + { 0.0022506641575567401, 0.0024821955877601491 }, + { 0.0026512073065173133, 0.0045074883891004546 }, + { 0.0032277503107823531, 0.0073214663127865887 }, + { 0.002608671768364712, 0.0051081934288370228 }, + { 0.0019066703692196174, 0.0029753750241976085 }, + { 0.0018321585727708177, 0.0019553481948125515 }, + { 0.0016388484550178711, 0.001081224407530922 }, + { 0.0019318126410394097, 0.002634561075143464 }, + { 0.0017902356823358816, 0.002810035239180515 }, + { 0.0021158460865771302, 0.0042202099691554407 }, + { 0.0031601693386750099, 0.0074926677530636658 }, + { 0.0023085969162523375, 0.0048788853169638505 }, + { 0.0019032296605858917, 0.0028022407791854463 }, + { 0.0017719708752176205, 0.0019421723163168308 }, + { 0.0014587893145131328, 0.00093572452715137689 }, + { 0.002192869738668357, 0.0030128572068209526 }, + { 0.0023862529788908314, 0.0028303534042944346 }, + { 0.0025609801079689229, 0.0051883198451757795 }, + { 0.0038248980411905434, 0.0069970317969066647 }, + { 0.0030151911969969604, 0.0051105550869744738 }, + { 0.0025695868202606381, 0.0033079399681758366 }, + { 0.0024737766223496545, 0.002148308510481541 }, + { 0.0014271766922816127, 0.00095518103289464484 }, + { 0.0032463906116630544, 0.003465759996529331 }, + { 0.0026139010130774281, 0.0041249610356051567 }, + { 0.0038314158223933161, 0.0059783942944426358 }, + { 0.0061613368317863203, 0.009474395372829101 }, + { 0.0042092751955365984, 0.0060580799996812649 }, + { 0.0031726890912279408, 0.0045493796590080271 }, + { 0.0019945161468009542, 0.0022707629552620764 }, + { 0.0009355545668167988, 0.00094901898262470994 }, + { 0.22759503620645244, 0.050923124142253667 }, + { 0.021995195355728719, 0.012230355557652348 }, + { 0.026273217530319186, 0.020690232001706495 }, + { 0.053618309673484535, 0.036060729246515086 }, + { 0.025382528539265075, 0.020454836938315877 }, + { 0.017525054762010314, 0.011241095501391841 }, + { 0.0082365288015889687, 0.004040514464715381 }, + { 0.0045695199586555284, 0.0022203835500404015 }, + }, + // b1 knight + { + { 0.001950715787553819, 0.0051982961215589199 }, + { 0.00022646424069343058, 0.00081697956548715559 }, + { 0.00067351130399070664, 0.0051937032399593918 }, + { 0.00061248763874534047, 0.002512932716640296 }, + { 0.00088165144907706948, 0.0037076175051998376 }, + { 0.00051172685201903074, 0.0039670896238946964 }, + { 0.00026948199188832285, 0.00097124623707819241 }, + { 0.0002643416799088165, 0.00079784321758344162 }, + { 0.00086508229273866847, 0.0015493208606373952 }, + { 0.0012074871495757822, 0.0030535745646501603 }, + { 0.0044317157241230412, 0.0066903126814820638 }, + { 0.0017306902767447528, 0.0065040499887652264 }, + { 0.0031600250700189146, 0.014243013982028031 }, + { 0.0017934254030336607, 0.0043521742875405065 }, + { 0.00064390658524675999, 0.0025433378299831279 }, + { 0.00050979009471802486, 0.00084077005976216431 }, + { 0.00082323845362214094, 0.0014650047244229934 }, + { 0.0021452314379124936, 0.0098976875149446517 }, + { 0.0022216602288326975, 0.0070609408352739376 }, + { 0.0061208289599508948, 0.025691095479257471 }, + { 0.003705421854831044, 0.011696927142447251 }, + { 0.0052999324016366027, 0.046805123575234371 }, + { 0.0012502064820436828, 0.0042434530330504707 }, + { 0.00093464152408918183, 0.0016563583220453322 }, + { 0.0010766236207995529, 0.0019365240996165505 }, + { 0.0068211801628242138, 0.01638010511042742 }, + { 0.0051380214675554731, 0.020617514670185567 }, + { 0.010305195085057004, 0.095771199919329711 }, + { 0.0040613879653411192, 0.017929663125020038 }, + { 0.0041292396882140116, 0.012171802246107245 }, + { 0.0041876724464985421, 0.0079591574881234875 }, + { 0.0018925616851666778, 0.0030881338247753533 }, + { 0.0045774606635896522, 0.006182943533390297 }, + { 0.0012798131770705896, 0.0039138090352874334 }, + { 0.0050344405250449436, 0.013113744159451442 }, + { 0.0042208562136834289, 0.017384129976683656 }, + { 0.010187584509811944, 0.088901618610526992 }, + { 0.0034679101923900395, 0.0087102675425468432 }, + { 0.0016534986406019081, 0.0038518624458996494 }, + { 0.0011109892051946455, 0.0017993147262550867 }, + { 0.0053197308043319872, 0.0066901861993726112 }, + { 0.0040064848484235235, 0.0038829394954489524 }, + { 0.056837077778212737, 0.13281887894732483 }, + { 0.0017464333468057861, 0.0029380212999666781 }, + { 0.0032146139579458371, 0.0064318998504538779 }, + { 0.0068161327361438376, 0.012106023644059613 }, + { 0.0055117345990482345, 0.0075817645177588154 }, + { 0.00068729785392113195, 0.00083338864290577973 }, + { 0.0010047995691766388, 0.00094986680801464006 }, + { 0.00077837485414241237, 0.00093547156293246995 }, + { 0.0014869730858086884, 0.0017317060861863007 }, + { 0.01753996779322806, 0.020857480876063154 }, + { 0.0071226107450472927, 0.0082888726320730927 }, + { 0.0012231985991094521, 0.0015672595810672218 }, + { 0.0005751260093825694, 0.00054141852721322663 }, + { 0.00062592636287476882, 0.00058044418682849457 }, + { 0.00016349196044929733, 0.00017339511436290992 }, + { 0.059128141112042093, 0.0048284406944044886 }, + { 0.00066679391820895261, 0.00057715960454862551 }, + { 0.0019113877566456388, 0.0011852737291030212 }, + { 0.00053495212936741933, 0.0005166339626092323 }, + { 0.0020487651140587205, 0.0012506610271245311 }, + { 0.00053381181409937811, 0.0003857842678137245 }, + { 0.00019481209280270632, 0.00011964614669407702 }, + }, + // c1 bishop + { + { 0, 0 }, + { 0.0010926611570216574, 0.0046427847205564353 }, + { 0, 0 }, + { 0.0022291997483258985, 0.010363695036962182 }, + { 0, 0 }, + { 0.0017388167522771364, 0.016607612828523841 }, + { 0, 0 }, + { 0.001568945350432281, 0.0023258004594209664 }, + { 0.0019498580807490878, 0.0025999168348509816 }, + { 0, 0 }, + { 0.0032817186458597696, 0.0053499679336232011 }, + { 0, 0 }, + { 0.002962011398820668, 0.041968477353979093 }, + { 0, 0 }, + { 0.0029398631956855941, 0.030133591826928458 }, + { 0, 0 }, + { 0, 0 }, + { 0.0034232402686404117, 0.010043817829588504 }, + { 0, 0 }, + { 0.0066337573920097334, 0.029194199318602933 }, + { 0, 0 }, + { 0.0084600997640286533, 0.11886393192214292 }, + { 0, 0 }, + { 0.01024041055333836, 0.026043166336052973 }, + { 0.002576646102994508, 0.0032387740171344048 }, + { 0, 0 }, + { 0.0070616661311203345, 0.023827035746942945 }, + { 0, 0 }, + { 0.0097806362277773305, 0.040550686029475515 }, + { 0, 0 }, + { 0.015996982895761097, 0.036582900753978825 }, + { 0, 0 }, + { 0, 0 }, + { 0.0049559623286950022, 0.014012101128391167 }, + { 0, 0 }, + { 0.0099871597734022422, 0.036717716848675475 }, + { 0, 0 }, + { 0.019206869584866112, 0.045870559126180641 }, + { 0, 0 }, + { 0.0043020399414058982, 0.0059718705843909816 }, + { 0.0069205239546680534, 0.0071672075463273931 }, + { 0, 0 }, + { 0.010688673030656164, 0.017688068461983241 }, + { 0, 0 }, + { 0.028560399444414686, 0.063743259847438546 }, + { 0, 0 }, + { 0.010493368843396366, 0.020945308867097848 }, + { 0, 0 }, + { 0, 0 }, + { 0.023465735648723261, 0.01701886150227987 }, + { 0, 0 }, + { 0.019433928686730564, 0.032627309144346632 }, + { 0, 0 }, + { 0.0046562313498177046, 0.0051732091856620133 }, + { 0, 0 }, + { 0.0029951951660055552, 0.0016165500543778208 }, + { 0.0018279075881234058, 0.0010923232126354616 }, + { 0, 0 }, + { 0.079809908693830006, 0.012578177406083397 }, + { 0, 0 }, + { 0.0025060532756558049, 0.0020279390442240271 }, + { 0, 0 }, + { 0.0010232461943272394, 0.00064346192158071269 }, + { 0, 0 }, + }, + // d1 queen + { + { 0.0046022748724380497, 0.001983946985529751 }, + { 0.0025841698122240279, 0.002056496332999062 }, + { 0.0038588822029743154, 0.0035888428992912132 }, + { 0.0057494814391615048, 0.033599634431921099 }, + { 0.0062728821946264959, 0.0058991117509278887 }, + { 0.0055042879648541636, 0.0046015792208360558 }, + { 0.0032654083825891557, 0.0020960832569750297 }, + { 0.0059252006622856216, 0.0015707180762475894 }, + { 0.0046573538785391038, 0.0015297477541994747 }, + { 0.0084257539424631624, 0.0036423724995514628 }, + { 0.0073938832492975656, 0.0054212287446024554 }, + { 0.0069803381347417707, 0.012154999888379538 }, + { 0.0075348594179811901, 0.013240623501779888 }, + { 0.016847314212484758, 0.0083421136950211517 }, + { 0.016866968346524049, 0.0057658608723357256 }, + { 0.013486065987740216, 0.0023175336677984074 }, + { 0.0033247462784694627, 0.0021635081027285164 }, + { 0.0029445568677160931, 0.0074149780936148477 }, + { 0.0056720684593271169, 0.0080362364761376003 }, + { 0.0056519558276410583, 0.011399292999790735 }, + { 0.0075598020852220013, 0.011387800914377114 }, + { 0.0080102325449471559, 0.018011698630698358 }, + { 0.007178207537283922, 0.0083900899401632111 }, + { 0.0082222817777288151, 0.003651746009631739 }, + { 0.0027431578238070065, 0.0028171775257987142 }, + { 0.0041682613952633589, 0.0054661397748732281 }, + { 0.0040766745140383438, 0.0073862607259200354 }, + { 0.0070159270382892337, 0.018413812924612298 }, + { 0.0065060895127801634, 0.01415221563770414 }, + { 0.0059504417482534244, 0.010467995346470228 }, + { 0.006558196189309062, 0.011334876056702688 }, + { 0.0093359271072219838, 0.0057454458693567559 }, + { 0.0053448651710199385, 0.0037540482970670128 }, + { 0.0034590959703875027, 0.005929313307125819 }, + { 0.0055480567035739352, 0.0071899901362926944 }, + { 0.0071004487079314969, 0.020756680563677639 }, + { 0.0068280675089405461, 0.01422041716266099 }, + { 0.006007989131771781, 0.010828216394193636 }, + { 0.0089964412203170988, 0.014046684103911883 }, + { 0.005397596352964263, 0.0048323517583827441 }, + { 0.0020611405979555557, 0.0017730677122605369 }, + { 0.0092834429606476841, 0.0085668328778607163 }, + { 0.006413328719476784, 0.0098845017550341311 }, + { 0.010786763859103231, 0.013859156590100511 }, + { 0.0079591831798019701, 0.013699332610825364 }, + { 0.013359184669128809, 0.022861564208674485 }, + { 0.0079161832151537197, 0.010476023007854602 }, + { 0.0041509392751171176, 0.0038681964245657853 }, + { 0.0012859534882279622, 0.00087947358525491807 }, + { 0.0031091515940571877, 0.0032201040720093005 }, + { 0.012766979622404105, 0.0089934412227835013 }, + { 0.014333695725657269, 0.017405845373850443 }, + { 0.015803267640001308, 0.019879959940586295 }, + { 0.0047060396092638785, 0.008964571681300753 }, + { 0.0031396199484547459, 0.0056514755908817276 }, + { 0.0012663210933012356, 0.0015302892557305724 }, + { 0.0013584336657936661, 0.0012097262781697001 }, + { 0.0019297691644585525, 0.0015419117758195676 }, + { 0.0032527700530586125, 0.0031449756752769151 }, + { 0.059384696237087677, 0.040692535715227553 }, + { 0.0041365183383564649, 0.0045422907320297537 }, + { 0.0027037072633552934, 0.0038109435072084998 }, + { 0.00097221659201165555, 0.0011920741187691039 }, + { 0.00061293823126026836, 0.00049537903937217317 }, + }, + // e1 king + { + { 0.00034806690751811557, 0.00086663367486243331 }, + { 0.00041714590210929786, 0.00067485320012068922 }, + { 0.0004093672523779111, 0.00066272079902795968 }, + { 0.00034937915940369503, 0.00066862197994714697 }, + { 0.0003780807168348257, 0.00074528792482257569 }, + { 0.00045270120884643701, 0.0006723808701374664 }, + { 0.00048865967730745894, 0.00069308836299454741 }, + { 0.0004198830540091888, 0.00089542416502677341 }, + { 0.00065544214888550603, 0.0010548410300121175 }, + { 0.0011448132880586407, 0.00074944404788789736 }, + { 0.0013858447104517794, 0.00077282149902422215 }, + { 0.0010629022882068144, 0.00071475237680437007 }, + { 0.0011683330315681005, 0.00082182145873967031 }, + { 0.001712186339388306, 0.00074528001969073479 }, + { 0.0014062201877715452, 0.00071694012204132258 }, + { 0.00093991622330998244, 0.0010903864553344557 }, + { 0.00088577595161502788, 0.001445892091914802 }, + { 0.0021886978053393537, 0.0010844002942479794 }, + { 0.0024623675408203616, 0.001209829044883631 }, + { 0.0021337255185181507, 0.0013002874685383659 }, + { 0.0023613103116500206, 0.0012870700881004809 }, + { 0.0033942699367266924, 0.0014380185806013249 }, + { 0.003497418073268936, 0.0014105818442647288 }, + { 0.001570148906755049, 0.0020540398132795211 }, + { 0.00096428774477529285, 0.002008039851097672 }, + { 0.0019988738507282174, 0.0016649551529222459 }, + { 0.0025174761911658191, 0.0018913996307860742 }, + { 0.0024237786397393003, 0.0019706130043972139 }, + { 0.0027617170970863393, 0.0023316522332661482 }, + { 0.0035780464654795855, 0.0025409900058263983 }, + { 0.0033726573062738351, 0.0029844896412100975 }, + { 0.0019141150271307287, 0.0036614041044582858 }, + { 0.0010731690781851056, 0.0024910849085151739 }, + { 0.0020330971427501752, 0.0020642156942416428 }, + { 0.0030260903975225192, 0.0027786973202804642 }, + { 0.0034381335370285543, 0.0031977404540315633 }, + { 0.004298543896849286, 0.0040285184271469055 }, + { 0.0050673061106732368, 0.0046072116272726539 }, + { 0.0045376800638835839, 0.0046535594152555008 }, + { 0.0027976617315666396, 0.0056393194743934753 }, + { 0.0015199513195657136, 0.0031254895252892439 }, + { 0.0033247838278457069, 0.0035820602961717722 }, + { 0.004503587206537, 0.0044082691030831091 }, + { 0.005688309552694123, 0.0063357003247997328 }, + { 0.0073748872174840266, 0.0076872209527985846 }, + { 0.0094901641345686173, 0.0087492971547280304 }, + { 0.0097389840881079437, 0.0092059548820608086 }, + { 0.006174062117767113, 0.0096613161677716886 }, + { 0.0024860611972303201, 0.0033422541692139638 }, + { 0.0047620672311858335, 0.0041002239017922069 }, + { 0.0062453308338782081, 0.0059438152714878399 }, + { 0.0084837953967215711, 0.0088483860060700036 }, + { 0.011102890081418432, 0.011778344071559024 }, + { 0.015483684898788699, 0.01236839299357414 }, + { 0.02491092418390423, 0.018222789366244316 }, + { 0.022915714361784242, 0.022005721038774798 }, + { 0.0023553063640169023, 0.0047672411399756632 }, + { 0.012817716734841578, 0.011950847882306879 }, + { 0.025443583825037804, 0.017487815662191077 }, + { 0.0047271759555233255, 0.009937549142252089 }, + { 0.052570944921910896, 0.040295725764778821 }, + { 0.012106061193435857, 0.020701809067287406 }, + { 0.1720090838818599, 0.10760425936092512 }, + { 0.031964125895105985, 0.04036572175466354 }, + }, + // f1 bishop + { + { 0.0019554865346197662, 0.0069580298526869195 }, + { 0, 0 }, + { 0.0010797856735358889, 0.0057872561116629594 }, + { 0, 0 }, + { 0.0013745601347489801, 0.004268073566168768 }, + { 0, 0 }, + { 0.0011222638994826438, 0.0039537101882540747 }, + { 0, 0 }, + { 0, 0 }, + { 0.0028157605309162433, 0.010987884247114927 }, + { 0, 0 }, + { 0.0021728302294518271, 0.035515909536327335 }, + { 0, 0 }, + { 0.0051533020874038171, 0.025437437585031551 }, + { 0, 0 }, + { 0.0022563143505399804, 0.0082444003366194864 }, + { 0.0033363608934266174, 0.013769259430806476 }, + { 0, 0 }, + { 0.0059256967093086347, 0.091110326280838469 }, + { 0, 0 }, + { 0.0069372116879840668, 0.037789715967348141 }, + { 0, 0 }, + { 0.005600681166238409, 0.02124336395802489 }, + { 0, 0 }, + { 0, 0 }, + { 0.010676613752032963, 0.022691171068128135 }, + { 0, 0 }, + { 0.011726604983660726, 0.047062184628717772 }, + { 0, 0 }, + { 0.0064378207942026675, 0.028253820645080259 }, + { 0, 0 }, + { 0.0039926034369110082, 0.0067834766365093262 }, + { 0.0034670248176238653, 0.004025565860404352 }, + { 0, 0 }, + { 0.031348567112640474, 0.052547763122787632 }, + { 0, 0 }, + { 0.010024377134108918, 0.046296758380530663 }, + { 0, 0 }, + { 0.0052608968606065332, 0.01794330935886029 }, + { 0, 0 }, + { 0, 0 }, + { 0.017103906886906592, 0.019944819571057426 }, + { 0, 0 }, + { 0.032741911816926254, 0.065635778054380103 }, + { 0, 0 }, + { 0.012791177230968917, 0.02503382329235081 }, + { 0, 0 }, + { 0.0048651600318051916, 0.0062692774545070728 }, + { 0.0053074205377728386, 0.0028274956991339705 }, + { 0, 0 }, + { 0.010702463533152511, 0.0072165217350335141 }, + { 0, 0 }, + { 0.024249207336620057, 0.038543616533311308 }, + { 0, 0 }, + { 0.024597001517089663, 0.021263385680694778 }, + { 0, 0 }, + { 0, 0 }, + { 0.0044353066302617429, 0.0017776744278407866 }, + { 0, 0 }, + { 0.0030594441250419843, 0.0025951856134442388 }, + { 0, 0 }, + { 0.045030140844785391, 0.009073113094041409 }, + { 0, 0 }, + { 0.001060236282493491, 0.0005417525190335021 }, + }, + // g1 knight + { + { 0.00039352141560294683, 0.0011423034086991738 }, + { 0.00025387923791746447, 0.0011903270846322783 }, + { 0.00041976842959749662, 0.0024105770695650969 }, + { 0.0011514832430493495, 0.0054476358375167818 }, + { 0.00046605692909153657, 0.0018370419679654968 }, + { 0.00068417335056103988, 0.0083883527874411869 }, + { 0.00017915993175784267, 0.00064634531841965912 }, + { 0.0017142159819884418, 0.0033520664141114065 }, + { 0.00041750953817397651, 0.00056421890372517001 }, + { 0.00067497968223014264, 0.0014259039660552374 }, + { 0.0012284950374428151, 0.0015820520590243941 }, + { 0.0018210696490810791, 0.019894453999816476 }, + { 0.0022254586446822208, 0.0084037994150581892 }, + { 0.004234231696758131, 0.018327560031096892 }, + { 0.00078819302788873599, 0.0033806592759797259 }, + { 0.00077342426532708624, 0.0024725967814224091 }, + { 0.00039030995579260552, 0.00055741060892724645 }, + { 0.00074126026014966753, 0.001817654632125836 }, + { 0.0037077499161581717, 0.050540954495974171 }, + { 0.0031082998161013368, 0.0095022135317770172 }, + { 0.0046238242618361798, 0.024614179368579809 }, + { 0.002491252892566792, 0.012526408673940694 }, + { 0.0025733002559428725, 0.018208230089676449 }, + { 0.001358028527786823, 0.0028774087015770358 }, + { 0.00080964557942181609, 0.0011677757197733213 }, + { 0.0017689353045907377, 0.0035872559440741645 }, + { 0.0023979268823367925, 0.0066367534369774113 }, + { 0.0021418994248415795, 0.008681619344755637 }, + { 0.014225448779077684, 0.12649948098066385 }, + { 0.005081740881414611, 0.02237463773152313 }, + { 0.013125044545417923, 0.032871840563862303 }, + { 0.0014478209440839669, 0.0030799954915452085 }, + { 0.00036569535152318927, 0.00046415772116677472 }, + { 0.00083442026261100943, 0.0018716802794090984 }, + { 0.0026421104760514665, 0.0069345298720070621 }, + { 0.0088254966968248499, 0.088696713640646491 }, + { 0.0033409616801579863, 0.018507781226804368 }, + { 0.0040306389787632116, 0.010388323475212321 }, + { 0.0024989406332820091, 0.010548886584314587 }, + { 0.0050412231281643845, 0.012531505507695077 }, + { 0.00043706683434821525, 0.00055786317772513454 }, + { 0.0029956595925012047, 0.0032561396155057708 }, + { 0.0023091581806130371, 0.0039225521111034027 }, + { 0.0022525831283111042, 0.0046571068431690774 }, + { 0.001859417443640995, 0.0031376910962855808 }, + { 0.051723846804110137, 0.15000158814098682 }, + { 0.0037861747528681873, 0.004825114610182455 }, + { 0.0040581448850034148, 0.0073632923653564747 }, + { 0.00016480421233487682, 0.00026280017919985265 }, + { 0.00027502348930875188, 0.00038888110321237364 }, + { 0.00097030552638913245, 0.0011853053496303845 }, + { 0.0055140152295843174, 0.007219326080554052 }, + { 0.0097580255744295664, 0.012326209233788457 }, + { 0.0013020918148810377, 0.0017413542995980461 }, + { 0.0010883508838854393, 0.00097015928145007695 }, + { 0.0033318767073899007, 0.0023949011931247107 }, + { 0.0001420611480287795, 0.00015406113816317495 }, + { 0.00033875663849256601, 0.00031466377292464521 }, + { 0.00061860028194127021, 0.00053243632115907195 }, + { 0.00027837921777518855, 0.0002782290202702126 }, + { 0.0020900318785508666, 0.0013795897748827147 }, + { 0.0010462066497589598, 0.00074809424662607388 }, + { 0.031938406548661813, 0.0028957644177114669 }, + { 0.00016350974699593922, 9.3492017998657136e-05 }, + }, + // h1 rook + { + { 0.0027870807125976748, 0.0018825241440117708 }, + { 0.0025532113396523372, 0.0025641342555734184 }, + { 0.0030148611577426056, 0.0064044552089854408 }, + { 0.0043897888811221843, 0.016697023822209663 }, + { 0.0053796437985537153, 0.023380342438295544 }, + { 0.0037052084162713414, 0.016883681771518545 }, + { 0.0024404130134153884, 0.0039782160969606788 }, + { 0.0037223368606874819, 0.0047704308606734422 }, + { 0.0049824820697380616, 0.0016459354057131842 }, + { 0.0051148969806380559, 0.0026395709524475964 }, + { 0.0050791045199456908, 0.0040131745662438352 }, + { 0.0053742643563360233, 0.0072684584512278348 }, + { 0.0065476823639607443, 0.010768696680280991 }, + { 0.0063677062273403348, 0.00957553758216673 }, + { 0.0049556263605917668, 0.0057329656424630294 }, + { 0.0059196611411481527, 0.0035957361742564261 }, + { 0.0023602806682277511, 0.0010713528741446727 }, + { 0.002177628644479217, 0.0018021566211518687 }, + { 0.0025090908225656478, 0.0031516614405313059 }, + { 0.0030144303280572795, 0.0049896006409607379 }, + { 0.0037354850712217596, 0.0087936113475448208 }, + { 0.0034136928456596368, 0.0091935517302025298 }, + { 0.0024853754270431272, 0.004473751262686709 }, + { 0.0030866456837063154, 0.0031290725262961049 }, + { 0.0015878445443807698, 0.00090496368287570732 }, + { 0.001683095454214014, 0.0014941054910120864 }, + { 0.0019921584412294236, 0.0026590017665123816 }, + { 0.0024335315961479366, 0.0052282387846890625 }, + { 0.0037554830784961254, 0.0090342692524584805 }, + { 0.0029805350990067172, 0.0067331031601365323 }, + { 0.0024882113930910286, 0.0032167364858451024 }, + { 0.0025501836741572957, 0.0036285345662640722 }, + { 0.0010802678865781802, 0.00082254082573718671 }, + { 0.0012685503404803525, 0.0015379315419377048 }, + { 0.0015527734269688823, 0.0025829524219205383 }, + { 0.0022952451485731586, 0.0053369620154620585 }, + { 0.0035913824228950833, 0.0088715855917399083 }, + { 0.0034835089937949775, 0.0066256763709854338 }, + { 0.002754244771213785, 0.0037485917798138727 }, + { 0.0027042369071886298, 0.0027975708225504701 }, + { 0.00097810393895012135, 0.000912487392105227 }, + { 0.0013745364193534575, 0.0015487319283152526 }, + { 0.0017664491406267934, 0.00318594797360799 }, + { 0.0027951894015834167, 0.0052249265344477503 }, + { 0.0047736601070304261, 0.0083041908012976805 }, + { 0.0058562264106913307, 0.0090117119587506418 }, + { 0.00503224487467615, 0.0046648479435242203 }, + { 0.003929186493000828, 0.0032425447650224859 }, + { 0.0010470564514318502, 0.0013328961373818317 }, + { 0.0014861805963416442, 0.0022012807989470113 }, + { 0.0023995355766664034, 0.003811046273922431 }, + { 0.0039884453375627262, 0.0065880558485548755 }, + { 0.0062335245194739125, 0.0092058659493275997 }, + { 0.0081813430762080631, 0.015924326829011935 }, + { 0.0037185246108572367, 0.0046050140006209011 }, + { 0.0026837606394378931, 0.0027412526870333638 }, + { 0.0045956325854087836, 0.0033844280475848463 }, + { 0.0062515521726369486, 0.004775849828550339 }, + { 0.010781601808011161, 0.010339612052809062 }, + { 0.023124316957083293, 0.021721691628016369 }, + { 0.051024687299861822, 0.034859082013086726 }, + { 0.11830833949353907, 0.040456308636710687 }, + { 0.015851429655741628, 0.0077185015594927889 }, + { 0.12512746036951874, 0.025984152550578139 }, + }, +}; diff --git a/chess.js b/chess.js new file mode 100644 index 0000000..11565d8 --- /dev/null +++ b/chess.js @@ -0,0 +1,1789 @@ +/** + * @license + * Copyright (c) 2023, Jeff Hlywa (jhlywa@gmail.com) + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are met: + * + * 1. Redistributions of source code must retain the above copyright notice, + * this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright notice, + * this list of conditions and the following disclaimer in the documentation + * and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" + * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE + * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + */ +export const WHITE = "w"; +export const BLACK = "b"; +export const PAWN = "p"; +export const KNIGHT = "n"; +export const BISHOP = "b"; +export const ROOK = "r"; +export const QUEEN = "q"; +export const KING = "k"; +export const PIECE_SYMBOLS = ["p", "n", "b", "r", "q", "k"]; +export const DEFAULT_POSITION = "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1"; +const EMPTY = -1; +const FLAGS = { + NORMAL: "n", + CAPTURE: "c", + BIG_PAWN: "b", + EP_CAPTURE: "e", + PROMOTION: "p", + KSIDE_CASTLE: "k", + QSIDE_CASTLE: "q", +}; +// prettier-ignore +export const SQUARES = [ + 'a8', 'b8', 'c8', 'd8', 'e8', 'f8', 'g8', 'h8', + 'a7', 'b7', 'c7', 'd7', 'e7', 'f7', 'g7', 'h7', + 'a6', 'b6', 'c6', 'd6', 'e6', 'f6', 'g6', 'h6', + 'a5', 'b5', 'c5', 'd5', 'e5', 'f5', 'g5', 'h5', + 'a4', 'b4', 'c4', 'd4', 'e4', 'f4', 'g4', 'h4', + 'a3', 'b3', 'c3', 'd3', 'e3', 'f3', 'g3', 'h3', + 'a2', 'b2', 'c2', 'd2', 'e2', 'f2', 'g2', 'h2', + 'a1', 'b1', 'c1', 'd1', 'e1', 'f1', 'g1', 'h1' +]; +const BITS = { + NORMAL: 1, + CAPTURE: 2, + BIG_PAWN: 4, + EP_CAPTURE: 8, + PROMOTION: 16, + KSIDE_CASTLE: 32, + QSIDE_CASTLE: 64, +}; +/* + * NOTES ABOUT 0x88 MOVE GENERATION ALGORITHM + * ---------------------------------------------------------------------------- + * From https://github.com/jhlywa/chess.js/issues/230 + * + * A lot of people are confused when they first see the internal representation + * of chess.js. It uses the 0x88 Move Generation Algorithm which internally + * stores the board as an 8x16 array. This is purely for efficiency but has a + * couple of interesting benefits: + * + * 1. 0x88 offers a very inexpensive "off the board" check. Bitwise AND (&) any + * square with 0x88, if the result is non-zero then the square is off the + * board. For example, assuming a knight square A8 (0 in 0x88 notation), + * there are 8 possible directions in which the knight can move. These + * directions are relative to the 8x16 board and are stored in the + * PIECE_OFFSETS map. One possible move is A8 - 18 (up one square, and two + * squares to the left - which is off the board). 0 - 18 = -18 & 0x88 = 0x88 + * (because of two-complement representation of -18). The non-zero result + * means the square is off the board and the move is illegal. Take the + * opposite move (from A8 to C7), 0 + 18 = 18 & 0x88 = 0. A result of zero + * means the square is on the board. + * + * 2. The relative distance (or difference) between two squares on a 8x16 board + * is unique and can be used to inexpensively determine if a piece on a + * square can attack any other arbitrary square. For example, let's see if a + * pawn on E7 can attack E2. The difference between E7 (20) - E2 (100) is + * -80. We add 119 to make the ATTACKS array index non-negative (because the + * worst case difference is A8 - H1 = -119). The ATTACKS array contains a + * bitmask of pieces that can attack from that distance and direction. + * ATTACKS[-80 + 119=39] gives us 24 or 0b11000 in binary. Look at the + * PIECE_MASKS map to determine the mask for a given piece type. In our pawn + * example, we would check to see if 24 & 0x1 is non-zero, which it is + * not. So, naturally, a pawn on E7 can't attack a piece on E2. However, a + * rook can since 24 & 0x8 is non-zero. The only thing left to check is that + * there are no blocking pieces between E7 and E2. That's where the RAYS + * array comes in. It provides an offset (in this case 16) to add to E7 (20) + * to check for blocking pieces. E7 (20) + 16 = E6 (36) + 16 = E5 (52) etc. + */ +// prettier-ignore +// eslint-disable-next-line +export const Ox88 = { + a8: 0, b8: 1, c8: 2, d8: 3, e8: 4, f8: 5, g8: 6, h8: 7, + a7: 16, b7: 17, c7: 18, d7: 19, e7: 20, f7: 21, g7: 22, h7: 23, + a6: 32, b6: 33, c6: 34, d6: 35, e6: 36, f6: 37, g6: 38, h6: 39, + a5: 48, b5: 49, c5: 50, d5: 51, e5: 52, f5: 53, g5: 54, h5: 55, + a4: 64, b4: 65, c4: 66, d4: 67, e4: 68, f4: 69, g4: 70, h4: 71, + a3: 80, b3: 81, c3: 82, d3: 83, e3: 84, f3: 85, g3: 86, h3: 87, + a2: 96, b2: 97, c2: 98, d2: 99, e2: 100, f2: 101, g2: 102, h2: 103, + a1: 112, b1: 113, c1: 114, d1: 115, e1: 116, f1: 117, g1: 118, h1: 119 +}; +const PAWN_OFFSETS = { + b: [16, 32, 17, 15], + w: [-16, -32, -17, -15], +}; +const PIECE_OFFSETS = { + n: [-18, -33, -31, -14, 18, 33, 31, 14], + b: [-17, -15, 17, 15], + r: [-16, 1, 16, -1], + q: [-17, -16, -15, 1, 17, 16, 15, -1], + k: [-17, -16, -15, 1, 17, 16, 15, -1], +}; +// prettier-ignore +const ATTACKS = [ + 20, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 20, 0, + 0, 20, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 20, 0, 0, + 0, 0, 20, 0, 0, 0, 0, 24, 0, 0, 0, 0, 20, 0, 0, 0, + 0, 0, 0, 20, 0, 0, 0, 24, 0, 0, 0, 20, 0, 0, 0, 0, + 0, 0, 0, 0, 20, 0, 0, 24, 0, 0, 20, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 20, 2, 24, 2, 20, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 2, 53, 56, 53, 2, 0, 0, 0, 0, 0, 0, + 24, 24, 24, 24, 24, 24, 56, 0, 56, 24, 24, 24, 24, 24, 24, 0, + 0, 0, 0, 0, 0, 2, 53, 56, 53, 2, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 20, 2, 24, 2, 20, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 20, 0, 0, 24, 0, 0, 20, 0, 0, 0, 0, 0, + 0, 0, 0, 20, 0, 0, 0, 24, 0, 0, 0, 20, 0, 0, 0, 0, + 0, 0, 20, 0, 0, 0, 0, 24, 0, 0, 0, 0, 20, 0, 0, 0, + 0, 20, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 20, 0, 0, + 20, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 20 +]; +// prettier-ignore +const RAYS = [ + 17, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 15, 0, + 0, 17, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 15, 0, 0, + 0, 0, 17, 0, 0, 0, 0, 16, 0, 0, 0, 0, 15, 0, 0, 0, + 0, 0, 0, 17, 0, 0, 0, 16, 0, 0, 0, 15, 0, 0, 0, 0, + 0, 0, 0, 0, 17, 0, 0, 16, 0, 0, 15, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 17, 0, 16, 0, 15, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 17, 16, 15, 0, 0, 0, 0, 0, 0, 0, + 1, 1, 1, 1, 1, 1, 1, 0, -1, -1, -1, -1, -1, -1, -1, 0, + 0, 0, 0, 0, 0, 0, -15, -16, -17, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, -15, 0, -16, 0, -17, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, -15, 0, 0, -16, 0, 0, -17, 0, 0, 0, 0, 0, + 0, 0, 0, -15, 0, 0, 0, -16, 0, 0, 0, -17, 0, 0, 0, 0, + 0, 0, -15, 0, 0, 0, 0, -16, 0, 0, 0, 0, -17, 0, 0, 0, + 0, -15, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -17, 0, 0, + -15, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -17 +]; +const PIECE_MASKS = { p: 0x1, n: 0x2, b: 0x4, r: 0x8, q: 0x10, k: 0x20 }; +const SYMBOLS = "pnbrqkPNBRQK"; +const PROMOTIONS = [KNIGHT, BISHOP, ROOK, QUEEN]; +const RANK_1 = 7; +const RANK_2 = 6; +/* + * const RANK_3 = 5 + * const RANK_4 = 4 + * const RANK_5 = 3 + * const RANK_6 = 2 + */ +const RANK_7 = 1; +const RANK_8 = 0; +const ROOKS = { + w: [ + { square: Ox88.a1, flag: BITS.QSIDE_CASTLE }, + { square: Ox88.h1, flag: BITS.KSIDE_CASTLE }, + ], + b: [ + { square: Ox88.a8, flag: BITS.QSIDE_CASTLE }, + { square: Ox88.h8, flag: BITS.KSIDE_CASTLE }, + ], +}; +const SECOND_RANK = { b: RANK_7, w: RANK_2 }; +const TERMINATION_MARKERS = ["1-0", "0-1", "1/2-1/2", "*"]; +// Extracts the zero-based rank of an 0x88 square. +export function rank(square) { + return square >> 4; +} +// Extracts the zero-based file of an 0x88 square. +export function file(square) { + return square & 0xf; +} +function isDigit(c) { + return "0123456789".indexOf(c) !== -1; +} +// Converts a 0x88 square to algebraic notation. +function algebraic(square) { + const f = file(square); + const r = rank(square); + return ("abcdefgh".substring(f, f + 1) + + "87654321".substring(r, r + 1)); +} +function swapColor(color) { + return color === WHITE ? BLACK : WHITE; +} +export function validateFen(fen) { + // 1st criterion: 6 space-seperated fields? + const tokens = fen.split(/\s+/); + if (tokens.length !== 6) { + return { + ok: false, + error: "Invalid FEN: must contain six space-delimited fields", + }; + } + // 2nd criterion: move number field is a integer value > 0? + const moveNumber = parseInt(tokens[5], 10); + if (isNaN(moveNumber) || moveNumber <= 0) { + return { + ok: false, + error: "Invalid FEN: move number must be a positive integer", + }; + } + // 3rd criterion: half move counter is an integer >= 0? + const halfMoves = parseInt(tokens[4], 10); + if (isNaN(halfMoves) || halfMoves < 0) { + return { + ok: false, + error: "Invalid FEN: half move counter number must be a non-negative integer", + }; + } + // 4th criterion: 4th field is a valid e.p.-string? + if (!/^(-|[abcdefgh][36])$/.test(tokens[3])) { + return { + ok: false, + error: "Invalid FEN: en-passant square is invalid", + }; + } + // 5th criterion: 3th field is a valid castle-string? + if (/[^kKqQ-]/.test(tokens[2])) { + return { + ok: false, + error: "Invalid FEN: castling availability is invalid", + }; + } + // 6th criterion: 2nd field is "w" (white) or "b" (black)? + if (!/^(w|b)$/.test(tokens[1])) { + return { ok: false, error: "Invalid FEN: side-to-move is invalid" }; + } + // 7th criterion: 1st field contains 8 rows? + const rows = tokens[0].split("/"); + if (rows.length !== 8) { + return { + ok: false, + error: "Invalid FEN: piece data does not contain 8 '/'-delimited rows", + }; + } + // 8th criterion: every row is valid? + for (let i = 0; i < rows.length; i++) { + // check for right sum of fields AND not two numbers in succession + let sumFields = 0; + let previousWasNumber = false; + for (let k = 0; k < rows[i].length; k++) { + if (isDigit(rows[i][k])) { + if (previousWasNumber) { + return { + ok: false, + error: "Invalid FEN: piece data is invalid (consecutive number)", + }; + } + sumFields += parseInt(rows[i][k], 10); + previousWasNumber = true; + } + else { + if (!/^[prnbqkPRNBQK]$/.test(rows[i][k])) { + return { + ok: false, + error: "Invalid FEN: piece data is invalid (invalid piece)", + }; + } + sumFields += 1; + previousWasNumber = false; + } + } + if (sumFields !== 8) { + return { + ok: false, + error: "Invalid FEN: piece data is invalid (too many squares in rank)", + }; + } + } + if ((tokens[3][1] == "3" && tokens[1] == "w") || + (tokens[3][1] == "6" && tokens[1] == "b")) { + return { ok: false, error: "Invalid FEN: illegal en-passant square" }; + } + const kings = [ + { color: "white", regex: /K/g }, + { color: "black", regex: /k/g }, + ]; + for (const { color, regex } of kings) { + if (!regex.test(tokens[0])) { + return { ok: false, error: `Invalid FEN: missing ${color} king` }; + } + if ((tokens[0].match(regex) || []).length > 1) { + return { ok: false, error: `Invalid FEN: too many ${color} kings` }; + } + } + return { ok: true }; +} +// this function is used to uniquely identify ambiguous moves +function getDisambiguator(move, moves) { + const from = move.from; + const to = move.to; + const piece = move.piece; + let ambiguities = 0; + let sameRank = 0; + let sameFile = 0; + for (let i = 0, len = moves.length; i < len; i++) { + const ambigFrom = moves[i].from; + const ambigTo = moves[i].to; + const ambigPiece = moves[i].piece; + /* + * if a move of the same piece type ends on the same to square, we'll need + * to add a disambiguator to the algebraic notation + */ + if (piece === ambigPiece && from !== ambigFrom && to === ambigTo) { + ambiguities++; + if (rank(from) === rank(ambigFrom)) { + sameRank++; + } + if (file(from) === file(ambigFrom)) { + sameFile++; + } + } + } + if (ambiguities > 0) { + if (sameRank > 0 && sameFile > 0) { + /* + * if there exists a similar moving piece on the same rank and file as + * the move in question, use the square as the disambiguator + */ + return algebraic(from); + } + else if (sameFile > 0) { + /* + * if the moving piece rests on the same file, use the rank symbol as the + * disambiguator + */ + return algebraic(from).charAt(1); + } + else { + // else use the file symbol + return algebraic(from).charAt(0); + } + } + return ""; +} +function addMove(moves, color, from, to, piece, captured = undefined, flags = BITS.NORMAL) { + const r = rank(to); + if (piece === PAWN && (r === RANK_1 || r === RANK_8)) { + for (let i = 0; i < PROMOTIONS.length; i++) { + const promotion = PROMOTIONS[i]; + moves.push({ + color, + from, + to, + piece, + captured, + promotion, + flags: flags | BITS.PROMOTION, + }); + } + } + else { + moves.push({ + color, + from, + to, + piece, + captured, + flags, + }); + } +} +function inferPieceType(san) { + let pieceType = san.charAt(0); + if (pieceType >= "a" && pieceType <= "h") { + const matches = san.match(/[a-h]\d.*[a-h]\d/); + if (matches) { + return undefined; + } + return PAWN; + } + pieceType = pieceType.toLowerCase(); + if (pieceType === "o") { + return KING; + } + return pieceType; +} +// parses all of the decorators out of a SAN string +function strippedSan(move) { + return move.replace(/=/, "").replace(/[+#]?[?!]*$/, ""); +} +export class Chess { + constructor(fen = DEFAULT_POSITION) { + this._board = new Array(128); + this._turn = WHITE; + this._header = {}; + this._kings = { w: EMPTY, b: EMPTY }; + this._epSquare = -1; + this._halfMoves = 0; + this._moveNumber = 0; + this._history = []; + this._comments = {}; + this._castling = { w: 0, b: 0 }; + this.load(fen); + } + clear(keepHeaders = false) { + this._board = new Array(128); + this._kings = { w: EMPTY, b: EMPTY }; + this._turn = WHITE; + this._castling = { w: 0, b: 0 }; + this._epSquare = EMPTY; + this._halfMoves = 0; + this._moveNumber = 1; + this._history = []; + this._comments = {}; + this._header = keepHeaders ? this._header : {}; + this._updateSetup(this.fen()); + } + load(fen, keepHeaders = false) { + let tokens = fen.split(/\s+/); + // append commonly omitted fen tokens + if (tokens.length >= 2 && tokens.length < 6) { + const adjustments = ["-", "-", "0", "1"]; + fen = tokens + .concat(adjustments.slice(-(6 - tokens.length))) + .join(" "); + } + tokens = fen.split(/\s+/); + const { ok, error } = validateFen(fen); + if (!ok) { + throw new Error(error); + } + const position = tokens[0]; + let square = 0; + this.clear(keepHeaders); + for (let i = 0; i < position.length; i++) { + const piece = position.charAt(i); + if (piece === "/") { + square += 8; + } + else if (isDigit(piece)) { + square += parseInt(piece, 10); + } + else { + const color = piece < "a" ? WHITE : BLACK; + this.put({ type: piece.toLowerCase(), color }, algebraic(square)); + square++; + } + } + this._turn = tokens[1]; + if (tokens[2].indexOf("K") > -1) { + this._castling.w |= BITS.KSIDE_CASTLE; + } + if (tokens[2].indexOf("Q") > -1) { + this._castling.w |= BITS.QSIDE_CASTLE; + } + if (tokens[2].indexOf("k") > -1) { + this._castling.b |= BITS.KSIDE_CASTLE; + } + if (tokens[2].indexOf("q") > -1) { + this._castling.b |= BITS.QSIDE_CASTLE; + } + this._epSquare = tokens[3] === "-" ? EMPTY : Ox88[tokens[3]]; + this._halfMoves = parseInt(tokens[4], 10); + this._moveNumber = parseInt(tokens[5], 10); + this._updateSetup(this.fen()); + } + fen() { + var _a, _b; + let empty = 0; + let fen = ""; + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + if (this._board[i]) { + if (empty > 0) { + fen += empty; + empty = 0; + } + const { color, type: piece } = this._board[i]; + fen += + color === WHITE ? piece.toUpperCase() : piece.toLowerCase(); + } + else { + empty++; + } + if ((i + 1) & 0x88) { + if (empty > 0) { + fen += empty; + } + if (i !== Ox88.h1) { + fen += "/"; + } + empty = 0; + i += 8; + } + } + let castling = ""; + if (this._castling[WHITE] & BITS.KSIDE_CASTLE) { + castling += "K"; + } + if (this._castling[WHITE] & BITS.QSIDE_CASTLE) { + castling += "Q"; + } + if (this._castling[BLACK] & BITS.KSIDE_CASTLE) { + castling += "k"; + } + if (this._castling[BLACK] & BITS.QSIDE_CASTLE) { + castling += "q"; + } + // do we have an empty castling flag? + castling = castling || "-"; + let epSquare = "-"; + /* + * only print the ep square if en passant is a valid move (pawn is present + * and ep capture is not pinned) + */ + if (this._epSquare !== EMPTY) { + const bigPawnSquare = this._epSquare + (this._turn === WHITE ? 16 : -16); + const squares = [bigPawnSquare + 1, bigPawnSquare - 1]; + for (const square of squares) { + // is the square off the board? + if (square & 0x88) { + continue; + } + const color = this._turn; + // is there a pawn that can capture the epSquare? + if (((_a = this._board[square]) === null || _a === void 0 ? void 0 : _a.color) === color && + ((_b = this._board[square]) === null || _b === void 0 ? void 0 : _b.type) === PAWN) { + // if the pawn makes an ep capture, does it leave it's king in check? + this._makeMove({ + color, + from: square, + to: this._epSquare, + piece: PAWN, + captured: PAWN, + flags: BITS.EP_CAPTURE, + }); + const isLegal = !this._isKingAttacked(color); + this._undoMove(); + // if ep is legal, break and set the ep square in the FEN output + if (isLegal) { + epSquare = algebraic(this._epSquare); + break; + } + } + } + } + return [ + fen, + this._turn, + castling, + epSquare, + this._halfMoves, + this._moveNumber, + ].join(" "); + } + /* + * Called when the initial board setup is changed with put() or remove(). + * modifies the SetUp and FEN properties of the header object. If the FEN + * is equal to the default position, the SetUp and FEN are deleted the setup + * is only updated if history.length is zero, ie moves haven't been made. + */ + _updateSetup(fen) { + if (this._history.length > 0) + return; + if (fen !== DEFAULT_POSITION) { + this._header["SetUp"] = "1"; + this._header["FEN"] = fen; + } + else { + delete this._header["SetUp"]; + delete this._header["FEN"]; + } + } + reset() { + this.load(DEFAULT_POSITION); + } + get(square) { + var _a; + return (_a = this._board[Ox88[square]]) !== null && _a !== void 0 ? _a : false; + } + put({ type, color }, square) { + // check for piece + if (SYMBOLS.indexOf(type.toLowerCase()) === -1) { + return false; + } + // check for valid square + if (!(square in Ox88)) { + return false; + } + const sq = Ox88[square]; + // don't let the user place more than one king + if (type == KING && + !(this._kings[color] == EMPTY || this._kings[color] == sq)) { + return false; + } + this._board[sq] = { type: type, color: color }; + if (type === KING) { + this._kings[color] = sq; + } + this._updateSetup(this.fen()); + return true; + } + remove(square) { + const piece = this.get(square); + delete this._board[Ox88[square]]; + if (piece && piece.type === KING) { + this._kings[piece.color] = EMPTY; + } + this._updateSetup(this.fen()); + return piece; + } + _attacked(color, square) { + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + // did we run off the end of the board + if (i & 0x88) { + i += 7; + continue; + } + // if empty square or wrong color + if (this._board[i] === undefined || + this._board[i].color !== color) { + continue; + } + const piece = this._board[i]; + const difference = i - square; + // skip - to/from square are the same + if (difference === 0) { + continue; + } + const index = difference + 119; + if (ATTACKS[index] & PIECE_MASKS[piece.type]) { + if (piece.type === PAWN) { + if (difference > 0) { + if (piece.color === WHITE) + return true; + } + else { + if (piece.color === BLACK) + return true; + } + continue; + } + // if the piece is a knight or a king + if (piece.type === "n" || piece.type === "k") + return true; + const offset = RAYS[index]; + let j = i + offset; + let blocked = false; + while (j !== square) { + if (this._board[j] != null) { + blocked = true; + break; + } + j += offset; + } + if (!blocked) + return true; + } + } + return false; + } + _isKingAttacked(color) { + return this._attacked(swapColor(color), this._kings[color]); + } + isAttacked(square, attackedBy) { + return this._attacked(attackedBy, Ox88[square]); + } + isCheck() { + return this._isKingAttacked(this._turn); + } + inCheck() { + return this.isCheck(); + } + isCheckmate() { + return this.isCheck() && this._moves().length === 0; + } + isStalemate() { + return !this.isCheck() && this._moves().length === 0; + } + isInsufficientMaterial() { + /* + * k.b. vs k.b. (of opposite colors) with mate in 1: + * 8/8/8/8/1b6/8/B1k5/K7 b - - 0 1 + * + * k.b. vs k.n. with mate in 1: + * 8/8/8/8/1n6/8/B7/K1k5 b - - 2 1 + */ + const pieces = { + b: 0, + n: 0, + r: 0, + q: 0, + k: 0, + p: 0, + }; + const bishops = []; + let numPieces = 0; + let squareColor = 0; + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + squareColor = (squareColor + 1) % 2; + if (i & 0x88) { + i += 7; + continue; + } + const piece = this._board[i]; + if (piece) { + pieces[piece.type] = + piece.type in pieces ? pieces[piece.type] + 1 : 1; + if (piece.type === BISHOP) { + bishops.push(squareColor); + } + numPieces++; + } + } + // k vs. k + if (numPieces === 2) { + return true; + } + else if ( + // k vs. kn .... or .... k vs. kb + numPieces === 3 && + (pieces[BISHOP] === 1 || pieces[KNIGHT] === 1)) { + return true; + } + else if (numPieces === pieces[BISHOP] + 2) { + // kb vs. kb where any number of bishops are all on the same color + let sum = 0; + const len = bishops.length; + for (let i = 0; i < len; i++) { + sum += bishops[i]; + } + if (sum === 0 || sum === len) { + return true; + } + } + return false; + } + isThreefoldRepetition() { + const moves = []; + const positions = {}; + let repetition = false; + while (true) { + const move = this._undoMove(); + if (!move) + break; + moves.push(move); + } + while (true) { + /* + * remove the last two fields in the FEN string, they're not needed when + * checking for draw by rep + */ + const fen = this.fen().split(" ").slice(0, 4).join(" "); + // has the position occurred three or move times + positions[fen] = fen in positions ? positions[fen] + 1 : 1; + if (positions[fen] >= 3) { + repetition = true; + } + const move = moves.pop(); + if (!move) { + break; + } + else { + this._makeMove(move); + } + } + return repetition; + } + isDraw() { + return (this._halfMoves >= 100 || // 50 moves per side = 100 half moves + this.isStalemate() || + this.isInsufficientMaterial() || + this.isThreefoldRepetition()); + } + isGameOver() { + return this.isCheckmate() || this.isStalemate() || this.isDraw(); + } + moves({ verbose = false, square = undefined, piece = undefined, } = {}) { + const moves = this._moves({ square, piece }); + if (verbose) { + return moves.map(move => this._makePretty(move)); + } + else { + return moves.map(move => this._moveToSan(move, moves)); + } + } + _moves({ legal = true, piece = undefined, square = undefined, } = {}) { + var _a; + const forSquare = square ? square.toLowerCase() : undefined; + const forPiece = piece === null || piece === void 0 ? void 0 : piece.toLowerCase(); + const moves = []; + const us = this._turn; + const them = swapColor(us); + let firstSquare = Ox88.a8; + let lastSquare = Ox88.h1; + let singleSquare = false; + // are we generating moves for a single square? + if (forSquare) { + // illegal square, return empty moves + if (!(forSquare in Ox88)) { + return []; + } + else { + firstSquare = lastSquare = Ox88[forSquare]; + singleSquare = true; + } + } + for (let from = firstSquare; from <= lastSquare; from++) { + // did we run off the end of the board + if (from & 0x88) { + from += 7; + continue; + } + // empty square or opponent, skip + if (!this._board[from] || this._board[from].color === them) { + continue; + } + const { type } = this._board[from]; + let to; + if (type === PAWN) { + if (forPiece && forPiece !== type) + continue; + // single square, non-capturing + to = from + PAWN_OFFSETS[us][0]; + if (!this._board[to]) { + addMove(moves, us, from, to, PAWN); + // double square + to = from + PAWN_OFFSETS[us][1]; + if (SECOND_RANK[us] === rank(from) && !this._board[to]) { + addMove(moves, us, from, to, PAWN, undefined, BITS.BIG_PAWN); + } + } + // pawn captures + for (let j = 2; j < 4; j++) { + to = from + PAWN_OFFSETS[us][j]; + if (to & 0x88) + continue; + if (((_a = this._board[to]) === null || _a === void 0 ? void 0 : _a.color) === them) { + addMove(moves, us, from, to, PAWN, this._board[to].type, BITS.CAPTURE); + } + else if (to === this._epSquare) { + addMove(moves, us, from, to, PAWN, PAWN, BITS.EP_CAPTURE); + } + } + } + else { + if (forPiece && forPiece !== type) + continue; + for (let j = 0, len = PIECE_OFFSETS[type].length; j < len; j++) { + const offset = PIECE_OFFSETS[type][j]; + to = from; + while (true) { + to += offset; + if (to & 0x88) + break; + if (!this._board[to]) { + addMove(moves, us, from, to, type); + } + else { + // own color, stop loop + if (this._board[to].color === us) + break; + addMove(moves, us, from, to, type, this._board[to].type, BITS.CAPTURE); + break; + } + /* break, if knight or king */ + if (type === KNIGHT || type === KING) + break; + } + } + } + } + /* + * check for castling if we're: + * a) generating all moves, or + * b) doing single square move generation on the king's square + */ + if (forPiece === undefined || forPiece === KING) { + if (!singleSquare || lastSquare === this._kings[us]) { + // king-side castling + if (this._castling[us] & BITS.KSIDE_CASTLE) { + const castlingFrom = this._kings[us]; + const castlingTo = castlingFrom + 2; + if (!this._board[castlingFrom + 1] && + !this._board[castlingTo] && + !this._attacked(them, this._kings[us]) && + !this._attacked(them, castlingFrom + 1) && + !this._attacked(them, castlingTo)) { + addMove(moves, us, this._kings[us], castlingTo, KING, undefined, BITS.KSIDE_CASTLE); + } + } + // queen-side castling + if (this._castling[us] & BITS.QSIDE_CASTLE) { + const castlingFrom = this._kings[us]; + const castlingTo = castlingFrom - 2; + if (!this._board[castlingFrom - 1] && + !this._board[castlingFrom - 2] && + !this._board[castlingFrom - 3] && + !this._attacked(them, this._kings[us]) && + !this._attacked(them, castlingFrom - 1) && + !this._attacked(them, castlingTo)) { + addMove(moves, us, this._kings[us], castlingTo, KING, undefined, BITS.QSIDE_CASTLE); + } + } + } + } + /* + * return all pseudo-legal moves (this includes moves that allow the king + * to be captured) + */ + if (!legal) { + return moves; + } + // filter out illegal moves + const legalMoves = []; + for (let i = 0, len = moves.length; i < len; i++) { + this._makeMove(moves[i]); + if (!this._isKingAttacked(us)) { + legalMoves.push(moves[i]); + } + this._undoMove(); + } + return legalMoves; + } + move(move, { strict = false } = {}) { + /* + * The move function can be called with in the following parameters: + * + * .move('Nxb7') <- argument is a case-sensitive SAN string + * + * .move({ from: 'h7', <- argument is a move object + * to :'h8', + * promotion: 'q' }) + * + * + * An optional strict argument may be supplied to tell chess.js to + * strictly follow the SAN specification. + */ + let moveObj = null; + if (typeof move === "string") { + moveObj = this._moveFromSan(move, strict); + } + else if (typeof move === "object") { + const moves = this._moves(); + // convert the pretty move object to an ugly move object + for (let i = 0, len = moves.length; i < len; i++) { + if (move.from === algebraic(moves[i].from) && + move.to === algebraic(moves[i].to) && + (!("promotion" in moves[i]) || + move.promotion === moves[i].promotion)) { + moveObj = moves[i]; + break; + } + } + } + // failed to find move + if (!moveObj) { + if (typeof move === "string") { + throw new Error(`Invalid move: ${move}`); + } + else { + throw new Error(`Invalid move: ${JSON.stringify(move)}`); + } + } + /* + * need to make a copy of move because we can't generate SAN after the move + * is made + */ + const prettyMove = this._makePretty(moveObj); + this._makeMove(moveObj); + return prettyMove; + } + _push(move) { + this._history.push({ + move, + kings: { b: this._kings.b, w: this._kings.w }, + turn: this._turn, + castling: { b: this._castling.b, w: this._castling.w }, + epSquare: this._epSquare, + halfMoves: this._halfMoves, + moveNumber: this._moveNumber, + }); + } + _makeMove(move) { + const us = this._turn; + const them = swapColor(us); + this._push(move); + this._board[move.to] = this._board[move.from]; + delete this._board[move.from]; + // if ep capture, remove the captured pawn + if (move.flags & BITS.EP_CAPTURE) { + if (this._turn === BLACK) { + delete this._board[move.to - 16]; + } + else { + delete this._board[move.to + 16]; + } + } + // if pawn promotion, replace with new piece + if (move.promotion) { + this._board[move.to] = { type: move.promotion, color: us }; + } + // if we moved the king + if (this._board[move.to].type === KING) { + this._kings[us] = move.to; + // if we castled, move the rook next to the king + if (move.flags & BITS.KSIDE_CASTLE) { + const castlingTo = move.to - 1; + const castlingFrom = move.to + 1; + this._board[castlingTo] = this._board[castlingFrom]; + delete this._board[castlingFrom]; + } + else if (move.flags & BITS.QSIDE_CASTLE) { + const castlingTo = move.to + 1; + const castlingFrom = move.to - 2; + this._board[castlingTo] = this._board[castlingFrom]; + delete this._board[castlingFrom]; + } + // turn off castling + this._castling[us] = 0; + } + // turn off castling if we move a rook + if (this._castling[us]) { + for (let i = 0, len = ROOKS[us].length; i < len; i++) { + if (move.from === ROOKS[us][i].square && + this._castling[us] & ROOKS[us][i].flag) { + this._castling[us] ^= ROOKS[us][i].flag; + break; + } + } + } + // turn off castling if we capture a rook + if (this._castling[them]) { + for (let i = 0, len = ROOKS[them].length; i < len; i++) { + if (move.to === ROOKS[them][i].square && + this._castling[them] & ROOKS[them][i].flag) { + this._castling[them] ^= ROOKS[them][i].flag; + break; + } + } + } + // if big pawn move, update the en passant square + if (move.flags & BITS.BIG_PAWN) { + if (us === BLACK) { + this._epSquare = move.to - 16; + } + else { + this._epSquare = move.to + 16; + } + } + else { + this._epSquare = EMPTY; + } + // reset the 50 move counter if a pawn is moved or a piece is captured + if (move.piece === PAWN) { + this._halfMoves = 0; + } + else if (move.flags & (BITS.CAPTURE | BITS.EP_CAPTURE)) { + this._halfMoves = 0; + } + else { + this._halfMoves++; + } + if (us === BLACK) { + this._moveNumber++; + } + this._turn = them; + } + undo() { + const move = this._undoMove(); + return move ? this._makePretty(move) : null; + } + _undoMove() { + const old = this._history.pop(); + if (old === undefined) { + return null; + } + const move = old.move; + this._kings = old.kings; + this._turn = old.turn; + this._castling = old.castling; + this._epSquare = old.epSquare; + this._halfMoves = old.halfMoves; + this._moveNumber = old.moveNumber; + const us = this._turn; + const them = swapColor(us); + this._board[move.from] = this._board[move.to]; + this._board[move.from].type = move.piece; // to undo any promotions + delete this._board[move.to]; + if (move.captured) { + if (move.flags & BITS.EP_CAPTURE) { + // en passant capture + let index; + if (us === BLACK) { + index = move.to - 16; + } + else { + index = move.to + 16; + } + this._board[index] = { type: PAWN, color: them }; + } + else { + // regular capture + this._board[move.to] = { type: move.captured, color: them }; + } + } + if (move.flags & (BITS.KSIDE_CASTLE | BITS.QSIDE_CASTLE)) { + let castlingTo, castlingFrom; + if (move.flags & BITS.KSIDE_CASTLE) { + castlingTo = move.to + 1; + castlingFrom = move.to - 1; + } + else { + castlingTo = move.to - 2; + castlingFrom = move.to + 1; + } + this._board[castlingTo] = this._board[castlingFrom]; + delete this._board[castlingFrom]; + } + return move; + } + pgn({ newline = "\n", maxWidth = 0, } = {}) { + /* + * using the specification from http://www.chessclub.com/help/PGN-spec + * example for html usage: .pgn({ max_width: 72, newline_char: "
" }) + */ + const result = []; + let headerExists = false; + /* add the PGN header information */ + for (const i in this._header) { + /* + * TODO: order of enumerated properties in header object is not + * guaranteed, see ECMA-262 spec (section 12.6.4) + */ + result.push("[" + i + ' "' + this._header[i] + '"]' + newline); + headerExists = true; + } + if (headerExists && this._history.length) { + result.push(newline); + } + const appendComment = (moveString) => { + const comment = this._comments[this.fen()]; + if (typeof comment !== "undefined") { + const delimiter = moveString.length > 0 ? " " : ""; + moveString = `${moveString}${delimiter}{${comment}}`; + } + return moveString; + }; + // pop all of history onto reversed_history + const reversedHistory = []; + while (this._history.length > 0) { + reversedHistory.push(this._undoMove()); + } + const moves = []; + let moveString = ""; + // special case of a commented starting position with no moves + if (reversedHistory.length === 0) { + moves.push(appendComment("")); + } + // build the list of moves. a move_string looks like: "3. e3 e6" + while (reversedHistory.length > 0) { + moveString = appendComment(moveString); + const move = reversedHistory.pop(); + // make TypeScript stop complaining about move being undefined + if (!move) { + break; + } + // if the position started with black to move, start PGN with #. ... + if (!this._history.length && move.color === "b") { + const prefix = `${this._moveNumber}. ...`; + // is there a comment preceding the first move? + moveString = moveString ? `${moveString} ${prefix}` : prefix; + } + else if (move.color === "w") { + // store the previous generated move_string if we have one + if (moveString.length) { + moves.push(moveString); + } + moveString = this._moveNumber + "."; + } + moveString = + moveString + + " " + + this._moveToSan(move, this._moves({ legal: true })); + this._makeMove(move); + } + // are there any other leftover moves? + if (moveString.length) { + moves.push(appendComment(moveString)); + } + // is there a result? + if (typeof this._header.Result !== "undefined") { + moves.push(this._header.Result); + } + /* + * history should be back to what it was before we started generating PGN, + * so join together moves + */ + if (maxWidth === 0) { + return result.join("") + moves.join(" "); + } + // TODO (jah): huh? + const strip = function () { + if (result.length > 0 && result[result.length - 1] === " ") { + result.pop(); + return true; + } + return false; + }; + // NB: this does not preserve comment whitespace. + const wrapComment = function (width, move) { + for (const token of move.split(" ")) { + if (!token) { + continue; + } + if (width + token.length > maxWidth) { + while (strip()) { + width--; + } + result.push(newline); + width = 0; + } + result.push(token); + width += token.length; + result.push(" "); + width++; + } + if (strip()) { + width--; + } + return width; + }; + // wrap the PGN output at max_width + let currentWidth = 0; + for (let i = 0; i < moves.length; i++) { + if (currentWidth + moves[i].length > maxWidth) { + if (moves[i].includes("{")) { + currentWidth = wrapComment(currentWidth, moves[i]); + continue; + } + } + // if the current move will push past max_width + if (currentWidth + moves[i].length > maxWidth && i !== 0) { + // don't end the line with whitespace + if (result[result.length - 1] === " ") { + result.pop(); + } + result.push(newline); + currentWidth = 0; + } + else if (i !== 0) { + result.push(" "); + currentWidth++; + } + result.push(moves[i]); + currentWidth += moves[i].length; + } + return result.join(""); + } + header(...args) { + for (let i = 0; i < args.length; i += 2) { + if (typeof args[i] === "string" && + typeof args[i + 1] === "string") { + this._header[args[i]] = args[i + 1]; + } + } + return this._header; + } + loadPgn(pgn, { strict = false, newlineChar = "\r?\n", } = {}) { + function mask(str) { + return str.replace(/\\/g, "\\"); + } + function parsePgnHeader(header) { + const headerObj = {}; + const headers = header.split(new RegExp(mask(newlineChar))); + let key = ""; + let value = ""; + for (let i = 0; i < headers.length; i++) { + const regex = /^\s*\[\s*([A-Za-z]+)\s*"(.*)"\s*\]\s*$/; + key = headers[i].replace(regex, "$1"); + value = headers[i].replace(regex, "$2"); + if (key.trim().length > 0) { + headerObj[key] = value; + } + } + return headerObj; + } + // strip whitespace from head/tail of PGN block + pgn = pgn.trim(); + /* + * RegExp to split header. Takes advantage of the fact that header and movetext + * will always have a blank line between them (ie, two newline_char's). Handles + * case where movetext is empty by matching newlineChar until end of string is + * matched - effectively trimming from the end extra newlineChar. + * + * With default newline_char, will equal: + * /^(\[((?:\r?\n)|.)*\])((?:\s*\r?\n){2}|(?:\s*\r?\n)*$)/ + */ + const headerRegex = new RegExp("^(\\[((?:" + + mask(newlineChar) + + ")|.)*\\])" + + "((?:\\s*" + + mask(newlineChar) + + "){2}|(?:\\s*" + + mask(newlineChar) + + ")*$)"); + // If no header given, begin with moves. + const headerRegexResults = headerRegex.exec(pgn); + const headerString = headerRegexResults + ? headerRegexResults.length >= 2 + ? headerRegexResults[1] + : "" + : ""; + // Put the board in the starting position + this.reset(); + // parse PGN header + const headers = parsePgnHeader(headerString); + let fen = ""; + for (const key in headers) { + // check to see user is including fen (possibly with wrong tag case) + if (key.toLowerCase() === "fen") { + fen = headers[key]; + } + this.header(key, headers[key]); + } + /* + * the permissive parser should attempt to load a fen tag, even if it's the + * wrong case and doesn't include a corresponding [SetUp "1"] tag + */ + if (!strict) { + if (fen) { + this.load(fen, true); + } + } + else { + /* + * strict parser - load the starting position indicated by [Setup '1'] + * and [FEN position] + */ + if (headers["SetUp"] === "1") { + if (!("FEN" in headers)) { + throw new Error("Invalid PGN: FEN tag must be supplied with SetUp tag"); + } + // second argument to load: don't clear the headers + this.load(headers["FEN"], true); + } + } + /* + * NB: the regexes below that delete move numbers, recursive annotations, + * and numeric annotation glyphs may also match text in comments. To + * prevent this, we transform comments by hex-encoding them in place and + * decoding them again after the other tokens have been deleted. + * + * While the spec states that PGN files should be ASCII encoded, we use + * {en,de}codeURIComponent here to support arbitrary UTF8 as a convenience + * for modern users + */ + function toHex(s) { + return Array.from(s) + .map(function (c) { + /* + * encodeURI doesn't transform most ASCII characters, so we handle + * these ourselves + */ + return c.charCodeAt(0) < 128 + ? c.charCodeAt(0).toString(16) + : encodeURIComponent(c).replace(/%/g, "").toLowerCase(); + }) + .join(""); + } + function fromHex(s) { + return s.length == 0 + ? "" + : decodeURIComponent("%" + (s.match(/.{1,2}/g) || []).join("%")); + } + const encodeComment = function (s) { + s = s.replace(new RegExp(mask(newlineChar), "g"), " "); + return `{${toHex(s.slice(1, s.length - 1))}}`; + }; + const decodeComment = function (s) { + if (s.startsWith("{") && s.endsWith("}")) { + return fromHex(s.slice(1, s.length - 1)); + } + }; + // delete header to get the moves + let ms = pgn + .replace(headerString, "") + .replace( + // encode comments so they don't get deleted below + new RegExp(`({[^}]*})+?|;([^${mask(newlineChar)}]*)`, "g"), function (_match, bracket, semicolon) { + return bracket !== undefined + ? encodeComment(bracket) + : " " + encodeComment(`{${semicolon.slice(1)}}`); + }) + .replace(new RegExp(mask(newlineChar), "g"), " "); + // delete recursive annotation variations + const ravRegex = /(\([^()]+\))+?/g; + while (ravRegex.test(ms)) { + ms = ms.replace(ravRegex, ""); + } + // delete move numbers + ms = ms.replace(/\d+\.(\.\.)?/g, ""); + // delete ... indicating black to move + ms = ms.replace(/\.\.\./g, ""); + /* delete numeric annotation glyphs */ + ms = ms.replace(/\$\d+/g, ""); + // trim and get array of moves + let moves = ms.trim().split(new RegExp(/\s+/)); + // delete empty entries + moves = moves.filter(move => move !== ""); + let result = ""; + for (let halfMove = 0; halfMove < moves.length; halfMove++) { + const comment = decodeComment(moves[halfMove]); + if (comment !== undefined) { + this._comments[this.fen()] = comment; + continue; + } + const move = this._moveFromSan(moves[halfMove], strict); + // invalid move + if (move == null) { + // was the move an end of game marker + if (TERMINATION_MARKERS.indexOf(moves[halfMove]) > -1) { + result = moves[halfMove]; + } + else { + throw new Error(`Invalid move in PGN: ${moves[halfMove]}`); + } + } + else { + // reset the end of game marker if making a valid move + result = ""; + this._makeMove(move); + } + } + /* + * Per section 8.2.6 of the PGN spec, the Result tag pair must match match + * the termination marker. Only do this when headers are present, but the + * result tag is missing + */ + if (result && + Object.keys(this._header).length && + !this._header["Result"]) { + this.header("Result", result); + } + } + /* + * Convert a move from 0x88 coordinates to Standard Algebraic Notation + * (SAN) + * + * @param {boolean} strict Use the strict SAN parser. It will throw errors + * on overly disambiguated moves (see below): + * + * r1bqkbnr/ppp2ppp/2n5/1B1pP3/4P3/8/PPPP2PP/RNBQK1NR b KQkq - 2 4 + * 4. ... Nge7 is overly disambiguated because the knight on c6 is pinned + * 4. ... Ne7 is technically the valid SAN + */ + _moveToSan(move, moves) { + let output = ""; + if (move.flags & BITS.KSIDE_CASTLE) { + output = "O-O"; + } + else if (move.flags & BITS.QSIDE_CASTLE) { + output = "O-O-O"; + } + else { + if (move.piece !== PAWN) { + const disambiguator = getDisambiguator(move, moves); + output += move.piece.toUpperCase() + disambiguator; + } + if (move.flags & (BITS.CAPTURE | BITS.EP_CAPTURE)) { + if (move.piece === PAWN) { + output += algebraic(move.from)[0]; + } + output += "x"; + } + output += algebraic(move.to); + if (move.promotion) { + output += "=" + move.promotion.toUpperCase(); + } + } + this._makeMove(move); + if (this.isCheck()) { + if (this.isCheckmate()) { + output += "#"; + } + else { + output += "+"; + } + } + this._undoMove(); + return output; + } + // convert a move from Standard Algebraic Notation (SAN) to 0x88 coordinates + _moveFromSan(move, strict = false) { + // strip off any move decorations: e.g Nf3+?! becomes Nf3 + const cleanMove = strippedSan(move); + let pieceType = inferPieceType(cleanMove); + let moves = this._moves({ legal: true, piece: pieceType }); + // strict parser + for (let i = 0, len = moves.length; i < len; i++) { + if (cleanMove === strippedSan(this._moveToSan(moves[i], moves))) { + return moves[i]; + } + } + // the strict parser failed + if (strict) { + return null; + } + let piece = undefined; + let matches = undefined; + let from = undefined; + let to = undefined; + let promotion = undefined; + /* + * The default permissive (non-strict) parser allows the user to parse + * non-standard chess notations. This parser is only run after the strict + * Standard Algebraic Notation (SAN) parser has failed. + * + * When running the permissive parser, we'll run a regex to grab the piece, the + * to/from square, and an optional promotion piece. This regex will + * parse common non-standard notation like: Pe2-e4, Rc1c4, Qf3xf7, + * f7f8q, b1c3 + * + * NOTE: Some positions and moves may be ambiguous when using the permissive + * parser. For example, in this position: 6k1/8/8/B7/8/8/8/BN4K1 w - - 0 1, + * the move b1c3 may be interpreted as Nc3 or B1c3 (a disambiguated bishop + * move). In these cases, the permissive parser will default to the most + * basic interpretation (which is b1c3 parsing to Nc3). + */ + let overlyDisambiguated = false; + matches = cleanMove.match(/([pnbrqkPNBRQK])?([a-h][1-8])x?-?([a-h][1-8])([qrbnQRBN])?/ + // piece from to promotion + ); + if (matches) { + piece = matches[1]; + from = matches[2]; + to = matches[3]; + promotion = matches[4]; + if (from.length == 1) { + overlyDisambiguated = true; + } + } + else { + /* + * The [a-h]?[1-8]? portion of the regex below handles moves that may be + * overly disambiguated (e.g. Nge7 is unnecessary and non-standard when + * there is one legal knight move to e7). In this case, the value of + * 'from' variable will be a rank or file, not a square. + */ + matches = cleanMove.match(/([pnbrqkPNBRQK])?([a-h]?[1-8]?)x?-?([a-h][1-8])([qrbnQRBN])?/); + if (matches) { + piece = matches[1]; + from = matches[2]; + to = matches[3]; + promotion = matches[4]; + if (from.length == 1) { + overlyDisambiguated = true; + } + } + } + pieceType = inferPieceType(cleanMove); + moves = this._moves({ + legal: true, + piece: piece ? piece : pieceType, + }); + for (let i = 0, len = moves.length; i < len; i++) { + if (from && to) { + // hand-compare move properties with the results from our permissive regex + if ((!piece || piece.toLowerCase() == moves[i].piece) && + Ox88[from] == moves[i].from && + Ox88[to] == moves[i].to && + (!promotion || + promotion.toLowerCase() == moves[i].promotion)) { + return moves[i]; + } + else if (overlyDisambiguated) { + /* + * SPECIAL CASE: we parsed a move string that may have an unneeded + * rank/file disambiguator (e.g. Nge7). The 'from' variable will + */ + const square = algebraic(moves[i].from); + if ((!piece || piece.toLowerCase() == moves[i].piece) && + Ox88[to] == moves[i].to && + (from == square[0] || from == square[1]) && + (!promotion || + promotion.toLowerCase() == moves[i].promotion)) { + return moves[i]; + } + } + } + } + return null; + } + ascii() { + let s = " +------------------------+\n"; + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + // display the rank + if (file(i) === 0) { + s += " " + "87654321"[rank(i)] + " |"; + } + if (this._board[i]) { + const piece = this._board[i].type; + const color = this._board[i].color; + const symbol = color === WHITE ? piece.toUpperCase() : piece.toLowerCase(); + s += " " + symbol + " "; + } + else { + s += " . "; + } + if ((i + 1) & 0x88) { + s += "|\n"; + i += 8; + } + } + s += " +------------------------+\n"; + s += " a b c d e f g h"; + return s; + } + perft(depth) { + const moves = this._moves({ legal: false }); + let nodes = 0; + const color = this._turn; + for (let i = 0, len = moves.length; i < len; i++) { + this._makeMove(moves[i]); + if (!this._isKingAttacked(color)) { + if (depth - 1 > 0) { + nodes += this.perft(depth - 1); + } + else { + nodes++; + } + } + this._undoMove(); + } + return nodes; + } + // pretty = external move object + _makePretty(uglyMove) { + const { color, piece, from, to, flags, captured, promotion } = uglyMove; + let prettyFlags = ""; + for (const flag in BITS) { + if (BITS[flag] & flags) { + prettyFlags += FLAGS[flag]; + } + } + const fromAlgebraic = algebraic(from); + const toAlgebraic = algebraic(to); + const move = { + color, + piece, + from: fromAlgebraic, + to: toAlgebraic, + san: this._moveToSan(uglyMove, this._moves({ legal: true })), + flags: prettyFlags, + lan: fromAlgebraic + toAlgebraic, + before: this.fen(), + after: "", + }; + // generate the FEN for the 'after' key + this._makeMove(uglyMove); + move.after = this.fen(); + this._undoMove(); + if (captured) { + move.captured = captured; + } + if (promotion) { + move.promotion = promotion; + move.lan += promotion; + } + return move; + } + turn() { + return this._turn; + } + board() { + const output = []; + let row = []; + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + if (!this._board[i]) { + row.push(false); + } + else { + row.push({ + square: algebraic(i), + type: this._board[i].type, + color: this._board[i].color, + }); + } + if ((i + 1) & 0x88) { + output.push(row); + row = []; + i += 8; + } + } + return output; + } + squareColor(square) { + if (square in Ox88) { + const sq = Ox88[square]; + return (rank(sq) + file(sq)) % 2 === 0 ? "w" : "b"; + } + return null; + } + history({ verbose = false } = {}) { + const reversedHistory = []; + const moveHistory = []; + while (this._history.length > 0) { + reversedHistory.push(this._undoMove()); + } + while (true) { + const move = reversedHistory.pop(); + if (!move) { + break; + } + if (verbose) { + moveHistory.push(this._makePretty(move)); + } + else { + moveHistory.push(this._moveToSan(move, this._moves())); + } + this._makeMove(move); + } + return moveHistory; + } + _pruneComments() { + const reversedHistory = []; + const currentComments = {}; + const copyComment = (fen) => { + if (fen in this._comments) { + currentComments[fen] = this._comments[fen]; + } + }; + while (this._history.length > 0) { + reversedHistory.push(this._undoMove()); + } + copyComment(this.fen()); + while (true) { + const move = reversedHistory.pop(); + if (!move) { + break; + } + this._makeMove(move); + copyComment(this.fen()); + } + this._comments = currentComments; + } + getComment() { + return this._comments[this.fen()]; + } + setComment(comment) { + this._comments[this.fen()] = comment + .replace("{", "[") + .replace("}", "]"); + } + deleteComment() { + const comment = this._comments[this.fen()]; + delete this._comments[this.fen()]; + return comment; + } + getComments() { + this._pruneComments(); + return Object.keys(this._comments).map((fen) => { + return { fen: fen, comment: this._comments[fen] }; + }); + } + deleteComments() { + this._pruneComments(); + return Object.keys(this._comments).map(fen => { + const comment = this._comments[fen]; + delete this._comments[fen]; + return { fen: fen, comment: comment }; + }); + } +} diff --git a/chess.ts b/chess.ts new file mode 100644 index 0000000..e238e16 --- /dev/null +++ b/chess.ts @@ -0,0 +1,2292 @@ +/** + * @license + * Copyright (c) 2023, Jeff Hlywa (jhlywa@gmail.com) + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are met: + * + * 1. Redistributions of source code must retain the above copyright notice, + * this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright notice, + * this list of conditions and the following disclaimer in the documentation + * and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" + * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE + * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + */ + +export const WHITE: Color = "w"; +export const BLACK: Color = "b"; + +export const PAWN = "p"; +export const KNIGHT = "n"; +export const BISHOP = "b"; +export const ROOK = "r"; +export const QUEEN = "q"; +export const KING = "k"; + +export type Color = "w" | "b"; +export type PieceSymbol = "p" | "n" | "b" | "r" | "q" | "k"; +export const PIECE_SYMBOLS = ["p", "n", "b", "r", "q", "k"]; + +// prettier-ignore +export type Square = + 'a8' | 'b8' | 'c8' | 'd8' | 'e8' | 'f8' | 'g8' | 'h8' | + 'a7' | 'b7' | 'c7' | 'd7' | 'e7' | 'f7' | 'g7' | 'h7' | + 'a6' | 'b6' | 'c6' | 'd6' | 'e6' | 'f6' | 'g6' | 'h6' | + 'a5' | 'b5' | 'c5' | 'd5' | 'e5' | 'f5' | 'g5' | 'h5' | + 'a4' | 'b4' | 'c4' | 'd4' | 'e4' | 'f4' | 'g4' | 'h4' | + 'a3' | 'b3' | 'c3' | 'd3' | 'e3' | 'f3' | 'g3' | 'h3' | + 'a2' | 'b2' | 'c2' | 'd2' | 'e2' | 'f2' | 'g2' | 'h2' | + 'a1' | 'b1' | 'c1' | 'd1' | 'e1' | 'f1' | 'g1' | 'h1' + +export const DEFAULT_POSITION = + "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1"; + +export type Piece = { + color: Color; + type: PieceSymbol; +}; + +type InternalMove = { + color: Color; + from: number; + to: number; + piece: PieceSymbol; + captured?: PieceSymbol; + promotion?: PieceSymbol; + flags: number; +}; + +interface History { + move: InternalMove; + kings: Record; + turn: Color; + castling: Record; + epSquare: number; + halfMoves: number; + moveNumber: number; +} + +export type Move = { + color: Color; + from: Square; + to: Square; + piece: PieceSymbol; + captured?: PieceSymbol; + promotion?: PieceSymbol; + flags: string; + san: string; + lan: string; + before: string; + after: string; +}; + +const EMPTY = -1; + +const FLAGS: Record = { + NORMAL: "n", + CAPTURE: "c", + BIG_PAWN: "b", + EP_CAPTURE: "e", + PROMOTION: "p", + KSIDE_CASTLE: "k", + QSIDE_CASTLE: "q", +}; + +// prettier-ignore +export const SQUARES: Square[] = [ + 'a8', 'b8', 'c8', 'd8', 'e8', 'f8', 'g8', 'h8', + 'a7', 'b7', 'c7', 'd7', 'e7', 'f7', 'g7', 'h7', + 'a6', 'b6', 'c6', 'd6', 'e6', 'f6', 'g6', 'h6', + 'a5', 'b5', 'c5', 'd5', 'e5', 'f5', 'g5', 'h5', + 'a4', 'b4', 'c4', 'd4', 'e4', 'f4', 'g4', 'h4', + 'a3', 'b3', 'c3', 'd3', 'e3', 'f3', 'g3', 'h3', + 'a2', 'b2', 'c2', 'd2', 'e2', 'f2', 'g2', 'h2', + 'a1', 'b1', 'c1', 'd1', 'e1', 'f1', 'g1', 'h1' +] + +const BITS: Record = { + NORMAL: 1, + CAPTURE: 2, + BIG_PAWN: 4, + EP_CAPTURE: 8, + PROMOTION: 16, + KSIDE_CASTLE: 32, + QSIDE_CASTLE: 64, +}; + +/* + * NOTES ABOUT 0x88 MOVE GENERATION ALGORITHM + * ---------------------------------------------------------------------------- + * From https://github.com/jhlywa/chess.js/issues/230 + * + * A lot of people are confused when they first see the internal representation + * of chess.js. It uses the 0x88 Move Generation Algorithm which internally + * stores the board as an 8x16 array. This is purely for efficiency but has a + * couple of interesting benefits: + * + * 1. 0x88 offers a very inexpensive "off the board" check. Bitwise AND (&) any + * square with 0x88, if the result is non-zero then the square is off the + * board. For example, assuming a knight square A8 (0 in 0x88 notation), + * there are 8 possible directions in which the knight can move. These + * directions are relative to the 8x16 board and are stored in the + * PIECE_OFFSETS map. One possible move is A8 - 18 (up one square, and two + * squares to the left - which is off the board). 0 - 18 = -18 & 0x88 = 0x88 + * (because of two-complement representation of -18). The non-zero result + * means the square is off the board and the move is illegal. Take the + * opposite move (from A8 to C7), 0 + 18 = 18 & 0x88 = 0. A result of zero + * means the square is on the board. + * + * 2. The relative distance (or difference) between two squares on a 8x16 board + * is unique and can be used to inexpensively determine if a piece on a + * square can attack any other arbitrary square. For example, let's see if a + * pawn on E7 can attack E2. The difference between E7 (20) - E2 (100) is + * -80. We add 119 to make the ATTACKS array index non-negative (because the + * worst case difference is A8 - H1 = -119). The ATTACKS array contains a + * bitmask of pieces that can attack from that distance and direction. + * ATTACKS[-80 + 119=39] gives us 24 or 0b11000 in binary. Look at the + * PIECE_MASKS map to determine the mask for a given piece type. In our pawn + * example, we would check to see if 24 & 0x1 is non-zero, which it is + * not. So, naturally, a pawn on E7 can't attack a piece on E2. However, a + * rook can since 24 & 0x8 is non-zero. The only thing left to check is that + * there are no blocking pieces between E7 and E2. That's where the RAYS + * array comes in. It provides an offset (in this case 16) to add to E7 (20) + * to check for blocking pieces. E7 (20) + 16 = E6 (36) + 16 = E5 (52) etc. + */ + +// prettier-ignore +// eslint-disable-next-line +export const Ox88: Record = { + a8: 0, b8: 1, c8: 2, d8: 3, e8: 4, f8: 5, g8: 6, h8: 7, + a7: 16, b7: 17, c7: 18, d7: 19, e7: 20, f7: 21, g7: 22, h7: 23, + a6: 32, b6: 33, c6: 34, d6: 35, e6: 36, f6: 37, g6: 38, h6: 39, + a5: 48, b5: 49, c5: 50, d5: 51, e5: 52, f5: 53, g5: 54, h5: 55, + a4: 64, b4: 65, c4: 66, d4: 67, e4: 68, f4: 69, g4: 70, h4: 71, + a3: 80, b3: 81, c3: 82, d3: 83, e3: 84, f3: 85, g3: 86, h3: 87, + a2: 96, b2: 97, c2: 98, d2: 99, e2: 100, f2: 101, g2: 102, h2: 103, + a1: 112, b1: 113, c1: 114, d1: 115, e1: 116, f1: 117, g1: 118, h1: 119 +} + +const PAWN_OFFSETS = { + b: [16, 32, 17, 15], + w: [-16, -32, -17, -15], +}; + +const PIECE_OFFSETS = { + n: [-18, -33, -31, -14, 18, 33, 31, 14], + b: [-17, -15, 17, 15], + r: [-16, 1, 16, -1], + q: [-17, -16, -15, 1, 17, 16, 15, -1], + k: [-17, -16, -15, 1, 17, 16, 15, -1], +}; + +// prettier-ignore +const ATTACKS = [ + 20, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0,20, 0, + 0,20, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0,20, 0, 0, + 0, 0,20, 0, 0, 0, 0, 24, 0, 0, 0, 0,20, 0, 0, 0, + 0, 0, 0,20, 0, 0, 0, 24, 0, 0, 0,20, 0, 0, 0, 0, + 0, 0, 0, 0,20, 0, 0, 24, 0, 0,20, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0,20, 2, 24, 2,20, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 2,53, 56, 53, 2, 0, 0, 0, 0, 0, 0, + 24,24,24,24,24,24,56, 0, 56,24,24,24,24,24,24, 0, + 0, 0, 0, 0, 0, 2,53, 56, 53, 2, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0,20, 2, 24, 2,20, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0,20, 0, 0, 24, 0, 0,20, 0, 0, 0, 0, 0, + 0, 0, 0,20, 0, 0, 0, 24, 0, 0, 0,20, 0, 0, 0, 0, + 0, 0,20, 0, 0, 0, 0, 24, 0, 0, 0, 0,20, 0, 0, 0, + 0,20, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0,20, 0, 0, + 20, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0,20 +]; + +// prettier-ignore +const RAYS = [ + 17, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 15, 0, + 0, 17, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 15, 0, 0, + 0, 0, 17, 0, 0, 0, 0, 16, 0, 0, 0, 0, 15, 0, 0, 0, + 0, 0, 0, 17, 0, 0, 0, 16, 0, 0, 0, 15, 0, 0, 0, 0, + 0, 0, 0, 0, 17, 0, 0, 16, 0, 0, 15, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 17, 0, 16, 0, 15, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 17, 16, 15, 0, 0, 0, 0, 0, 0, 0, + 1, 1, 1, 1, 1, 1, 1, 0, -1, -1, -1,-1, -1, -1, -1, 0, + 0, 0, 0, 0, 0, 0,-15,-16,-17, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0,-15, 0,-16, 0,-17, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0,-15, 0, 0,-16, 0, 0,-17, 0, 0, 0, 0, 0, + 0, 0, 0,-15, 0, 0, 0,-16, 0, 0, 0,-17, 0, 0, 0, 0, + 0, 0,-15, 0, 0, 0, 0,-16, 0, 0, 0, 0,-17, 0, 0, 0, + 0,-15, 0, 0, 0, 0, 0,-16, 0, 0, 0, 0, 0,-17, 0, 0, + -15, 0, 0, 0, 0, 0, 0,-16, 0, 0, 0, 0, 0, 0,-17 +]; + +const PIECE_MASKS = { p: 0x1, n: 0x2, b: 0x4, r: 0x8, q: 0x10, k: 0x20 }; + +const SYMBOLS = "pnbrqkPNBRQK"; + +const PROMOTIONS: PieceSymbol[] = [KNIGHT, BISHOP, ROOK, QUEEN]; + +const RANK_1 = 7; +const RANK_2 = 6; +/* + * const RANK_3 = 5 + * const RANK_4 = 4 + * const RANK_5 = 3 + * const RANK_6 = 2 + */ +const RANK_7 = 1; +const RANK_8 = 0; + +const ROOKS = { + w: [ + { square: Ox88.a1, flag: BITS.QSIDE_CASTLE }, + { square: Ox88.h1, flag: BITS.KSIDE_CASTLE }, + ], + b: [ + { square: Ox88.a8, flag: BITS.QSIDE_CASTLE }, + { square: Ox88.h8, flag: BITS.KSIDE_CASTLE }, + ], +}; + +const SECOND_RANK = { b: RANK_7, w: RANK_2 }; + +const TERMINATION_MARKERS = ["1-0", "0-1", "1/2-1/2", "*"]; + +// Extracts the zero-based rank of an 0x88 square. +export function rank(square: number): number { + return square >> 4; +} + +// Extracts the zero-based file of an 0x88 square. +export function file(square: number): number { + return square & 0xf; +} + +function isDigit(c: string): boolean { + return "0123456789".indexOf(c) !== -1; +} + +// Converts a 0x88 square to algebraic notation. +function algebraic(square: number): Square { + const f = file(square); + const r = rank(square); + return ("abcdefgh".substring(f, f + 1) + + "87654321".substring(r, r + 1)) as Square; +} + +function swapColor(color: Color): Color { + return color === WHITE ? BLACK : WHITE; +} + +export function validateFen(fen: string) { + // 1st criterion: 6 space-seperated fields? + const tokens = fen.split(/\s+/); + if (tokens.length !== 6) { + return { + ok: false, + error: "Invalid FEN: must contain six space-delimited fields", + }; + } + + // 2nd criterion: move number field is a integer value > 0? + const moveNumber = parseInt(tokens[5], 10); + if (isNaN(moveNumber) || moveNumber <= 0) { + return { + ok: false, + error: "Invalid FEN: move number must be a positive integer", + }; + } + + // 3rd criterion: half move counter is an integer >= 0? + const halfMoves = parseInt(tokens[4], 10); + if (isNaN(halfMoves) || halfMoves < 0) { + return { + ok: false, + error: "Invalid FEN: half move counter number must be a non-negative integer", + }; + } + + // 4th criterion: 4th field is a valid e.p.-string? + if (!/^(-|[abcdefgh][36])$/.test(tokens[3])) { + return { + ok: false, + error: "Invalid FEN: en-passant square is invalid", + }; + } + + // 5th criterion: 3th field is a valid castle-string? + if (/[^kKqQ-]/.test(tokens[2])) { + return { + ok: false, + error: "Invalid FEN: castling availability is invalid", + }; + } + + // 6th criterion: 2nd field is "w" (white) or "b" (black)? + if (!/^(w|b)$/.test(tokens[1])) { + return { ok: false, error: "Invalid FEN: side-to-move is invalid" }; + } + + // 7th criterion: 1st field contains 8 rows? + const rows = tokens[0].split("/"); + if (rows.length !== 8) { + return { + ok: false, + error: "Invalid FEN: piece data does not contain 8 '/'-delimited rows", + }; + } + + // 8th criterion: every row is valid? + for (let i = 0; i < rows.length; i++) { + // check for right sum of fields AND not two numbers in succession + let sumFields = 0; + let previousWasNumber = false; + + for (let k = 0; k < rows[i].length; k++) { + if (isDigit(rows[i][k])) { + if (previousWasNumber) { + return { + ok: false, + error: "Invalid FEN: piece data is invalid (consecutive number)", + }; + } + sumFields += parseInt(rows[i][k], 10); + previousWasNumber = true; + } else { + if (!/^[prnbqkPRNBQK]$/.test(rows[i][k])) { + return { + ok: false, + error: "Invalid FEN: piece data is invalid (invalid piece)", + }; + } + sumFields += 1; + previousWasNumber = false; + } + } + if (sumFields !== 8) { + return { + ok: false, + error: "Invalid FEN: piece data is invalid (too many squares in rank)", + }; + } + } + + if ( + (tokens[3][1] == "3" && tokens[1] == "w") || + (tokens[3][1] == "6" && tokens[1] == "b") + ) { + return { ok: false, error: "Invalid FEN: illegal en-passant square" }; + } + + const kings = [ + { color: "white", regex: /K/g }, + { color: "black", regex: /k/g }, + ]; + + for (const { color, regex } of kings) { + if (!regex.test(tokens[0])) { + return { ok: false, error: `Invalid FEN: missing ${color} king` }; + } + + if ((tokens[0].match(regex) || []).length > 1) { + return { ok: false, error: `Invalid FEN: too many ${color} kings` }; + } + } + + return { ok: true }; +} + +// this function is used to uniquely identify ambiguous moves +function getDisambiguator(move: InternalMove, moves: InternalMove[]) { + const from = move.from; + const to = move.to; + const piece = move.piece; + + let ambiguities = 0; + let sameRank = 0; + let sameFile = 0; + + for (let i = 0, len = moves.length; i < len; i++) { + const ambigFrom = moves[i].from; + const ambigTo = moves[i].to; + const ambigPiece = moves[i].piece; + + /* + * if a move of the same piece type ends on the same to square, we'll need + * to add a disambiguator to the algebraic notation + */ + if (piece === ambigPiece && from !== ambigFrom && to === ambigTo) { + ambiguities++; + + if (rank(from) === rank(ambigFrom)) { + sameRank++; + } + + if (file(from) === file(ambigFrom)) { + sameFile++; + } + } + } + + if (ambiguities > 0) { + if (sameRank > 0 && sameFile > 0) { + /* + * if there exists a similar moving piece on the same rank and file as + * the move in question, use the square as the disambiguator + */ + return algebraic(from); + } else if (sameFile > 0) { + /* + * if the moving piece rests on the same file, use the rank symbol as the + * disambiguator + */ + return algebraic(from).charAt(1); + } else { + // else use the file symbol + return algebraic(from).charAt(0); + } + } + + return ""; +} + +function addMove( + moves: InternalMove[], + color: Color, + from: number, + to: number, + piece: PieceSymbol, + captured: PieceSymbol | undefined = undefined, + flags: number = BITS.NORMAL +) { + const r = rank(to); + + if (piece === PAWN && (r === RANK_1 || r === RANK_8)) { + for (let i = 0; i < PROMOTIONS.length; i++) { + const promotion = PROMOTIONS[i]; + moves.push({ + color, + from, + to, + piece, + captured, + promotion, + flags: flags | BITS.PROMOTION, + }); + } + } else { + moves.push({ + color, + from, + to, + piece, + captured, + flags, + }); + } +} + +function inferPieceType(san: string) { + let pieceType = san.charAt(0); + if (pieceType >= "a" && pieceType <= "h") { + const matches = san.match(/[a-h]\d.*[a-h]\d/); + if (matches) { + return undefined; + } + return PAWN; + } + pieceType = pieceType.toLowerCase(); + if (pieceType === "o") { + return KING; + } + return pieceType as PieceSymbol; +} + +// parses all of the decorators out of a SAN string +function strippedSan(move: string) { + return move.replace(/=/, "").replace(/[+#]?[?!]*$/, ""); +} + +export class Chess { + private _board = new Array(128); + private _turn: Color = WHITE; + private _header: Record = {}; + private _kings: Record = { w: EMPTY, b: EMPTY }; + private _epSquare = -1; + private _halfMoves = 0; + private _moveNumber = 0; + private _history: History[] = []; + private _comments: Record = {}; + private _castling: Record = { w: 0, b: 0 }; + + constructor(fen = DEFAULT_POSITION) { + this.load(fen); + } + + clear(keepHeaders = false) { + this._board = new Array(128); + this._kings = { w: EMPTY, b: EMPTY }; + this._turn = WHITE; + this._castling = { w: 0, b: 0 }; + this._epSquare = EMPTY; + this._halfMoves = 0; + this._moveNumber = 1; + this._history = []; + this._comments = {}; + this._header = keepHeaders ? this._header : {}; + this._updateSetup(this.fen()); + } + + load(fen: string, keepHeaders = false) { + let tokens = fen.split(/\s+/); + + // append commonly omitted fen tokens + if (tokens.length >= 2 && tokens.length < 6) { + const adjustments = ["-", "-", "0", "1"]; + fen = tokens + .concat(adjustments.slice(-(6 - tokens.length))) + .join(" "); + } + + tokens = fen.split(/\s+/); + + const { ok, error } = validateFen(fen); + if (!ok) { + throw new Error(error); + } + + const position = tokens[0]; + let square = 0; + + this.clear(keepHeaders); + + for (let i = 0; i < position.length; i++) { + const piece = position.charAt(i); + + if (piece === "/") { + square += 8; + } else if (isDigit(piece)) { + square += parseInt(piece, 10); + } else { + const color = piece < "a" ? WHITE : BLACK; + this.put( + { type: piece.toLowerCase() as PieceSymbol, color }, + algebraic(square) + ); + square++; + } + } + + this._turn = tokens[1] as Color; + + if (tokens[2].indexOf("K") > -1) { + this._castling.w |= BITS.KSIDE_CASTLE; + } + if (tokens[2].indexOf("Q") > -1) { + this._castling.w |= BITS.QSIDE_CASTLE; + } + if (tokens[2].indexOf("k") > -1) { + this._castling.b |= BITS.KSIDE_CASTLE; + } + if (tokens[2].indexOf("q") > -1) { + this._castling.b |= BITS.QSIDE_CASTLE; + } + + this._epSquare = tokens[3] === "-" ? EMPTY : Ox88[tokens[3] as Square]; + this._halfMoves = parseInt(tokens[4], 10); + this._moveNumber = parseInt(tokens[5], 10); + + this._updateSetup(this.fen()); + } + + fen() { + let empty = 0; + let fen = ""; + + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + if (this._board[i]) { + if (empty > 0) { + fen += empty; + empty = 0; + } + const { color, type: piece } = this._board[i]; + + fen += + color === WHITE ? piece.toUpperCase() : piece.toLowerCase(); + } else { + empty++; + } + + if ((i + 1) & 0x88) { + if (empty > 0) { + fen += empty; + } + + if (i !== Ox88.h1) { + fen += "/"; + } + + empty = 0; + i += 8; + } + } + + let castling = ""; + if (this._castling[WHITE] & BITS.KSIDE_CASTLE) { + castling += "K"; + } + if (this._castling[WHITE] & BITS.QSIDE_CASTLE) { + castling += "Q"; + } + if (this._castling[BLACK] & BITS.KSIDE_CASTLE) { + castling += "k"; + } + if (this._castling[BLACK] & BITS.QSIDE_CASTLE) { + castling += "q"; + } + + // do we have an empty castling flag? + castling = castling || "-"; + + let epSquare = "-"; + /* + * only print the ep square if en passant is a valid move (pawn is present + * and ep capture is not pinned) + */ + if (this._epSquare !== EMPTY) { + const bigPawnSquare = + this._epSquare + (this._turn === WHITE ? 16 : -16); + const squares = [bigPawnSquare + 1, bigPawnSquare - 1]; + + for (const square of squares) { + // is the square off the board? + if (square & 0x88) { + continue; + } + + const color = this._turn; + + // is there a pawn that can capture the epSquare? + if ( + this._board[square]?.color === color && + this._board[square]?.type === PAWN + ) { + // if the pawn makes an ep capture, does it leave it's king in check? + this._makeMove({ + color, + from: square, + to: this._epSquare, + piece: PAWN, + captured: PAWN, + flags: BITS.EP_CAPTURE, + }); + const isLegal = !this._isKingAttacked(color); + this._undoMove(); + + // if ep is legal, break and set the ep square in the FEN output + if (isLegal) { + epSquare = algebraic(this._epSquare); + break; + } + } + } + } + + return [ + fen, + this._turn, + castling, + epSquare, + this._halfMoves, + this._moveNumber, + ].join(" "); + } + + /* + * Called when the initial board setup is changed with put() or remove(). + * modifies the SetUp and FEN properties of the header object. If the FEN + * is equal to the default position, the SetUp and FEN are deleted the setup + * is only updated if history.length is zero, ie moves haven't been made. + */ + private _updateSetup(fen: string) { + if (this._history.length > 0) return; + + if (fen !== DEFAULT_POSITION) { + this._header["SetUp"] = "1"; + this._header["FEN"] = fen; + } else { + delete this._header["SetUp"]; + delete this._header["FEN"]; + } + } + + reset() { + this.load(DEFAULT_POSITION); + } + + get(square: Square) { + return this._board[Ox88[square]] ?? false; + } + + put({ type, color }: { type: PieceSymbol; color: Color }, square: Square) { + // check for piece + if (SYMBOLS.indexOf(type.toLowerCase()) === -1) { + return false; + } + + // check for valid square + if (!(square in Ox88)) { + return false; + } + + const sq = Ox88[square]; + + // don't let the user place more than one king + if ( + type == KING && + !(this._kings[color] == EMPTY || this._kings[color] == sq) + ) { + return false; + } + + this._board[sq] = { type: type as PieceSymbol, color: color as Color }; + + if (type === KING) { + this._kings[color] = sq; + } + + this._updateSetup(this.fen()); + + return true; + } + + remove(square: Square) { + const piece = this.get(square); + delete this._board[Ox88[square]]; + if (piece && piece.type === KING) { + this._kings[piece.color] = EMPTY; + } + + this._updateSetup(this.fen()); + + return piece; + } + + _attacked(color: Color, square: number) { + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + // did we run off the end of the board + if (i & 0x88) { + i += 7; + continue; + } + + // if empty square or wrong color + if ( + this._board[i] === undefined || + this._board[i].color !== color + ) { + continue; + } + + const piece = this._board[i]; + const difference = i - square; + + // skip - to/from square are the same + if (difference === 0) { + continue; + } + + const index = difference + 119; + + if (ATTACKS[index] & PIECE_MASKS[piece.type]) { + if (piece.type === PAWN) { + if (difference > 0) { + if (piece.color === WHITE) return true; + } else { + if (piece.color === BLACK) return true; + } + continue; + } + + // if the piece is a knight or a king + if (piece.type === "n" || piece.type === "k") return true; + + const offset = RAYS[index]; + let j = i + offset; + + let blocked = false; + while (j !== square) { + if (this._board[j] != null) { + blocked = true; + break; + } + j += offset; + } + + if (!blocked) return true; + } + } + + return false; + } + + private _isKingAttacked(color: Color) { + return this._attacked(swapColor(color), this._kings[color]); + } + + isAttacked(square: Square, attackedBy: Color) { + return this._attacked(attackedBy, Ox88[square]); + } + + isCheck() { + return this._isKingAttacked(this._turn); + } + + inCheck() { + return this.isCheck(); + } + + isCheckmate() { + return this.isCheck() && this._moves().length === 0; + } + + isStalemate() { + return !this.isCheck() && this._moves().length === 0; + } + + isInsufficientMaterial() { + /* + * k.b. vs k.b. (of opposite colors) with mate in 1: + * 8/8/8/8/1b6/8/B1k5/K7 b - - 0 1 + * + * k.b. vs k.n. with mate in 1: + * 8/8/8/8/1n6/8/B7/K1k5 b - - 2 1 + */ + const pieces: Record = { + b: 0, + n: 0, + r: 0, + q: 0, + k: 0, + p: 0, + }; + const bishops = []; + let numPieces = 0; + let squareColor = 0; + + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + squareColor = (squareColor + 1) % 2; + if (i & 0x88) { + i += 7; + continue; + } + + const piece = this._board[i]; + if (piece) { + pieces[piece.type] = + piece.type in pieces ? pieces[piece.type] + 1 : 1; + if (piece.type === BISHOP) { + bishops.push(squareColor); + } + numPieces++; + } + } + + // k vs. k + if (numPieces === 2) { + return true; + } else if ( + // k vs. kn .... or .... k vs. kb + numPieces === 3 && + (pieces[BISHOP] === 1 || pieces[KNIGHT] === 1) + ) { + return true; + } else if (numPieces === pieces[BISHOP] + 2) { + // kb vs. kb where any number of bishops are all on the same color + let sum = 0; + const len = bishops.length; + for (let i = 0; i < len; i++) { + sum += bishops[i]; + } + if (sum === 0 || sum === len) { + return true; + } + } + + return false; + } + + isThreefoldRepetition() { + const moves = []; + const positions: Record = {}; + let repetition = false; + + while (true) { + const move = this._undoMove(); + if (!move) break; + moves.push(move); + } + + while (true) { + /* + * remove the last two fields in the FEN string, they're not needed when + * checking for draw by rep + */ + const fen = this.fen().split(" ").slice(0, 4).join(" "); + + // has the position occurred three or move times + positions[fen] = fen in positions ? positions[fen] + 1 : 1; + if (positions[fen] >= 3) { + repetition = true; + } + + const move = moves.pop(); + + if (!move) { + break; + } else { + this._makeMove(move); + } + } + + return repetition; + } + + isDraw() { + return ( + this._halfMoves >= 100 || // 50 moves per side = 100 half moves + this.isStalemate() || + this.isInsufficientMaterial() || + this.isThreefoldRepetition() + ); + } + + isGameOver() { + return this.isCheckmate() || this.isStalemate() || this.isDraw(); + } + + moves(): string[]; + moves({ square }: { square: Square }): string[]; + moves({ piece }: { piece: PieceSymbol }): string[]; + + moves({ square, piece }: { square: Square; piece: PieceSymbol }): string[]; + + moves({ verbose, square }: { verbose: true; square?: Square }): Move[]; + moves({ verbose, square }: { verbose: false; square?: Square }): string[]; + moves({ + verbose, + square, + }: { + verbose?: boolean; + square?: Square; + }): string[] | Move[]; + + moves({ verbose, piece }: { verbose: true; piece?: PieceSymbol }): Move[]; + moves({ + verbose, + piece, + }: { + verbose: false; + piece?: PieceSymbol; + }): string[]; + moves({ + verbose, + piece, + }: { + verbose?: boolean; + piece?: PieceSymbol; + }): string[] | Move[]; + + moves({ + verbose, + square, + piece, + }: { + verbose: true; + square?: Square; + piece?: PieceSymbol; + }): Move[]; + moves({ + verbose, + square, + piece, + }: { + verbose: false; + square?: Square; + piece?: PieceSymbol; + }): string[]; + moves({ + verbose, + square, + piece, + }: { + verbose?: boolean; + square?: Square; + piece?: PieceSymbol; + }): string[] | Move[]; + + moves({ square, piece }: { square?: Square; piece?: PieceSymbol }): Move[]; + + moves({ + verbose = false, + square = undefined, + piece = undefined, + }: { verbose?: boolean; square?: Square; piece?: PieceSymbol } = {}) { + const moves = this._moves({ square, piece }); + + if (verbose) { + return moves.map(move => this._makePretty(move)); + } else { + return moves.map(move => this._moveToSan(move, moves)); + } + } + + _moves({ + legal = true, + piece = undefined, + square = undefined, + }: { + legal?: boolean; + piece?: PieceSymbol; + square?: Square; + } = {}) { + const forSquare = square ? (square.toLowerCase() as Square) : undefined; + const forPiece = piece?.toLowerCase(); + + const moves: InternalMove[] = []; + const us = this._turn; + const them = swapColor(us); + + let firstSquare = Ox88.a8; + let lastSquare = Ox88.h1; + let singleSquare = false; + + // are we generating moves for a single square? + if (forSquare) { + // illegal square, return empty moves + if (!(forSquare in Ox88)) { + return []; + } else { + firstSquare = lastSquare = Ox88[forSquare]; + singleSquare = true; + } + } + + for (let from = firstSquare; from <= lastSquare; from++) { + // did we run off the end of the board + if (from & 0x88) { + from += 7; + continue; + } + + // empty square or opponent, skip + if (!this._board[from] || this._board[from].color === them) { + continue; + } + const { type } = this._board[from]; + + let to: number; + if (type === PAWN) { + if (forPiece && forPiece !== type) continue; + + // single square, non-capturing + to = from + PAWN_OFFSETS[us][0]; + if (!this._board[to]) { + addMove(moves, us, from, to, PAWN); + + // double square + to = from + PAWN_OFFSETS[us][1]; + if (SECOND_RANK[us] === rank(from) && !this._board[to]) { + addMove( + moves, + us, + from, + to, + PAWN, + undefined, + BITS.BIG_PAWN + ); + } + } + + // pawn captures + for (let j = 2; j < 4; j++) { + to = from + PAWN_OFFSETS[us][j]; + if (to & 0x88) continue; + + if (this._board[to]?.color === them) { + addMove( + moves, + us, + from, + to, + PAWN, + this._board[to].type, + BITS.CAPTURE + ); + } else if (to === this._epSquare) { + addMove( + moves, + us, + from, + to, + PAWN, + PAWN, + BITS.EP_CAPTURE + ); + } + } + } else { + if (forPiece && forPiece !== type) continue; + + for ( + let j = 0, len = PIECE_OFFSETS[type].length; + j < len; + j++ + ) { + const offset = PIECE_OFFSETS[type][j]; + to = from; + + while (true) { + to += offset; + if (to & 0x88) break; + + if (!this._board[to]) { + addMove(moves, us, from, to, type); + } else { + // own color, stop loop + if (this._board[to].color === us) break; + + addMove( + moves, + us, + from, + to, + type, + this._board[to].type, + BITS.CAPTURE + ); + break; + } + + /* break, if knight or king */ + if (type === KNIGHT || type === KING) break; + } + } + } + } + + /* + * check for castling if we're: + * a) generating all moves, or + * b) doing single square move generation on the king's square + */ + + if (forPiece === undefined || forPiece === KING) { + if (!singleSquare || lastSquare === this._kings[us]) { + // king-side castling + if (this._castling[us] & BITS.KSIDE_CASTLE) { + const castlingFrom = this._kings[us]; + const castlingTo = castlingFrom + 2; + + if ( + !this._board[castlingFrom + 1] && + !this._board[castlingTo] && + !this._attacked(them, this._kings[us]) && + !this._attacked(them, castlingFrom + 1) && + !this._attacked(them, castlingTo) + ) { + addMove( + moves, + us, + this._kings[us], + castlingTo, + KING, + undefined, + BITS.KSIDE_CASTLE + ); + } + } + + // queen-side castling + if (this._castling[us] & BITS.QSIDE_CASTLE) { + const castlingFrom = this._kings[us]; + const castlingTo = castlingFrom - 2; + + if ( + !this._board[castlingFrom - 1] && + !this._board[castlingFrom - 2] && + !this._board[castlingFrom - 3] && + !this._attacked(them, this._kings[us]) && + !this._attacked(them, castlingFrom - 1) && + !this._attacked(them, castlingTo) + ) { + addMove( + moves, + us, + this._kings[us], + castlingTo, + KING, + undefined, + BITS.QSIDE_CASTLE + ); + } + } + } + } + + /* + * return all pseudo-legal moves (this includes moves that allow the king + * to be captured) + */ + if (!legal) { + return moves; + } + + // filter out illegal moves + const legalMoves = []; + + for (let i = 0, len = moves.length; i < len; i++) { + this._makeMove(moves[i]); + if (!this._isKingAttacked(us)) { + legalMoves.push(moves[i]); + } + this._undoMove(); + } + + return legalMoves; + } + + move( + move: string | { from: string; to: string; promotion?: string }, + { strict = false }: { strict?: boolean } = {} + ) { + /* + * The move function can be called with in the following parameters: + * + * .move('Nxb7') <- argument is a case-sensitive SAN string + * + * .move({ from: 'h7', <- argument is a move object + * to :'h8', + * promotion: 'q' }) + * + * + * An optional strict argument may be supplied to tell chess.js to + * strictly follow the SAN specification. + */ + + let moveObj = null; + + if (typeof move === "string") { + moveObj = this._moveFromSan(move, strict); + } else if (typeof move === "object") { + const moves = this._moves(); + + // convert the pretty move object to an ugly move object + for (let i = 0, len = moves.length; i < len; i++) { + if ( + move.from === algebraic(moves[i].from) && + move.to === algebraic(moves[i].to) && + (!("promotion" in moves[i]) || + move.promotion === moves[i].promotion) + ) { + moveObj = moves[i]; + break; + } + } + } + + // failed to find move + if (!moveObj) { + if (typeof move === "string") { + throw new Error(`Invalid move: ${move}`); + } else { + throw new Error(`Invalid move: ${JSON.stringify(move)}`); + } + } + + /* + * need to make a copy of move because we can't generate SAN after the move + * is made + */ + const prettyMove = this._makePretty(moveObj); + + this._makeMove(moveObj); + + return prettyMove; + } + + _push(move: InternalMove) { + this._history.push({ + move, + kings: { b: this._kings.b, w: this._kings.w }, + turn: this._turn, + castling: { b: this._castling.b, w: this._castling.w }, + epSquare: this._epSquare, + halfMoves: this._halfMoves, + moveNumber: this._moveNumber, + }); + } + + private _makeMove(move: InternalMove) { + const us = this._turn; + const them = swapColor(us); + this._push(move); + + this._board[move.to] = this._board[move.from]; + delete this._board[move.from]; + + // if ep capture, remove the captured pawn + if (move.flags & BITS.EP_CAPTURE) { + if (this._turn === BLACK) { + delete this._board[move.to - 16]; + } else { + delete this._board[move.to + 16]; + } + } + + // if pawn promotion, replace with new piece + if (move.promotion) { + this._board[move.to] = { type: move.promotion, color: us }; + } + + // if we moved the king + if (this._board[move.to].type === KING) { + this._kings[us] = move.to; + + // if we castled, move the rook next to the king + if (move.flags & BITS.KSIDE_CASTLE) { + const castlingTo = move.to - 1; + const castlingFrom = move.to + 1; + this._board[castlingTo] = this._board[castlingFrom]; + delete this._board[castlingFrom]; + } else if (move.flags & BITS.QSIDE_CASTLE) { + const castlingTo = move.to + 1; + const castlingFrom = move.to - 2; + this._board[castlingTo] = this._board[castlingFrom]; + delete this._board[castlingFrom]; + } + + // turn off castling + this._castling[us] = 0; + } + + // turn off castling if we move a rook + if (this._castling[us]) { + for (let i = 0, len = ROOKS[us].length; i < len; i++) { + if ( + move.from === ROOKS[us][i].square && + this._castling[us] & ROOKS[us][i].flag + ) { + this._castling[us] ^= ROOKS[us][i].flag; + break; + } + } + } + + // turn off castling if we capture a rook + if (this._castling[them]) { + for (let i = 0, len = ROOKS[them].length; i < len; i++) { + if ( + move.to === ROOKS[them][i].square && + this._castling[them] & ROOKS[them][i].flag + ) { + this._castling[them] ^= ROOKS[them][i].flag; + break; + } + } + } + + // if big pawn move, update the en passant square + if (move.flags & BITS.BIG_PAWN) { + if (us === BLACK) { + this._epSquare = move.to - 16; + } else { + this._epSquare = move.to + 16; + } + } else { + this._epSquare = EMPTY; + } + + // reset the 50 move counter if a pawn is moved or a piece is captured + if (move.piece === PAWN) { + this._halfMoves = 0; + } else if (move.flags & (BITS.CAPTURE | BITS.EP_CAPTURE)) { + this._halfMoves = 0; + } else { + this._halfMoves++; + } + + if (us === BLACK) { + this._moveNumber++; + } + + this._turn = them; + } + + undo() { + const move = this._undoMove(); + return move ? this._makePretty(move) : null; + } + + private _undoMove() { + const old = this._history.pop(); + if (old === undefined) { + return null; + } + + const move = old.move; + + this._kings = old.kings; + this._turn = old.turn; + this._castling = old.castling; + this._epSquare = old.epSquare; + this._halfMoves = old.halfMoves; + this._moveNumber = old.moveNumber; + + const us = this._turn; + const them = swapColor(us); + + this._board[move.from] = this._board[move.to]; + this._board[move.from].type = move.piece; // to undo any promotions + delete this._board[move.to]; + + if (move.captured) { + if (move.flags & BITS.EP_CAPTURE) { + // en passant capture + let index: number; + if (us === BLACK) { + index = move.to - 16; + } else { + index = move.to + 16; + } + this._board[index] = { type: PAWN, color: them }; + } else { + // regular capture + this._board[move.to] = { type: move.captured, color: them }; + } + } + + if (move.flags & (BITS.KSIDE_CASTLE | BITS.QSIDE_CASTLE)) { + let castlingTo: number, castlingFrom: number; + if (move.flags & BITS.KSIDE_CASTLE) { + castlingTo = move.to + 1; + castlingFrom = move.to - 1; + } else { + castlingTo = move.to - 2; + castlingFrom = move.to + 1; + } + + this._board[castlingTo] = this._board[castlingFrom]; + delete this._board[castlingFrom]; + } + + return move; + } + + pgn({ + newline = "\n", + maxWidth = 0, + }: { newline?: string; maxWidth?: number } = {}) { + /* + * using the specification from http://www.chessclub.com/help/PGN-spec + * example for html usage: .pgn({ max_width: 72, newline_char: "
" }) + */ + + const result: string[] = []; + let headerExists = false; + + /* add the PGN header information */ + for (const i in this._header) { + /* + * TODO: order of enumerated properties in header object is not + * guaranteed, see ECMA-262 spec (section 12.6.4) + */ + result.push("[" + i + ' "' + this._header[i] + '"]' + newline); + headerExists = true; + } + + if (headerExists && this._history.length) { + result.push(newline); + } + + const appendComment = (moveString: string) => { + const comment = this._comments[this.fen()]; + if (typeof comment !== "undefined") { + const delimiter = moveString.length > 0 ? " " : ""; + moveString = `${moveString}${delimiter}{${comment}}`; + } + return moveString; + }; + + // pop all of history onto reversed_history + const reversedHistory = []; + while (this._history.length > 0) { + reversedHistory.push(this._undoMove()); + } + + const moves = []; + let moveString = ""; + + // special case of a commented starting position with no moves + if (reversedHistory.length === 0) { + moves.push(appendComment("")); + } + + // build the list of moves. a move_string looks like: "3. e3 e6" + while (reversedHistory.length > 0) { + moveString = appendComment(moveString); + const move = reversedHistory.pop(); + + // make TypeScript stop complaining about move being undefined + if (!move) { + break; + } + + // if the position started with black to move, start PGN with #. ... + if (!this._history.length && move.color === "b") { + const prefix = `${this._moveNumber}. ...`; + // is there a comment preceding the first move? + moveString = moveString ? `${moveString} ${prefix}` : prefix; + } else if (move.color === "w") { + // store the previous generated move_string if we have one + if (moveString.length) { + moves.push(moveString); + } + moveString = this._moveNumber + "."; + } + + moveString = + moveString + + " " + + this._moveToSan(move, this._moves({ legal: true })); + this._makeMove(move); + } + + // are there any other leftover moves? + if (moveString.length) { + moves.push(appendComment(moveString)); + } + + // is there a result? + if (typeof this._header.Result !== "undefined") { + moves.push(this._header.Result); + } + + /* + * history should be back to what it was before we started generating PGN, + * so join together moves + */ + if (maxWidth === 0) { + return result.join("") + moves.join(" "); + } + + // TODO (jah): huh? + const strip = function () { + if (result.length > 0 && result[result.length - 1] === " ") { + result.pop(); + return true; + } + return false; + }; + + // NB: this does not preserve comment whitespace. + const wrapComment = function (width: number, move: string) { + for (const token of move.split(" ")) { + if (!token) { + continue; + } + if (width + token.length > maxWidth) { + while (strip()) { + width--; + } + result.push(newline); + width = 0; + } + result.push(token); + width += token.length; + result.push(" "); + width++; + } + if (strip()) { + width--; + } + return width; + }; + + // wrap the PGN output at max_width + let currentWidth = 0; + for (let i = 0; i < moves.length; i++) { + if (currentWidth + moves[i].length > maxWidth) { + if (moves[i].includes("{")) { + currentWidth = wrapComment(currentWidth, moves[i]); + continue; + } + } + // if the current move will push past max_width + if (currentWidth + moves[i].length > maxWidth && i !== 0) { + // don't end the line with whitespace + if (result[result.length - 1] === " ") { + result.pop(); + } + + result.push(newline); + currentWidth = 0; + } else if (i !== 0) { + result.push(" "); + currentWidth++; + } + result.push(moves[i]); + currentWidth += moves[i].length; + } + + return result.join(""); + } + + header(...args: string[]) { + for (let i = 0; i < args.length; i += 2) { + if ( + typeof args[i] === "string" && + typeof args[i + 1] === "string" + ) { + this._header[args[i]] = args[i + 1]; + } + } + return this._header; + } + + loadPgn( + pgn: string, + { + strict = false, + newlineChar = "\r?\n", + }: { strict?: boolean; newlineChar?: string } = {} + ) { + function mask(str: string): string { + return str.replace(/\\/g, "\\"); + } + + function parsePgnHeader(header: string): { [key: string]: string } { + const headerObj: Record = {}; + const headers = header.split(new RegExp(mask(newlineChar))); + let key = ""; + let value = ""; + + for (let i = 0; i < headers.length; i++) { + const regex = /^\s*\[\s*([A-Za-z]+)\s*"(.*)"\s*\]\s*$/; + key = headers[i].replace(regex, "$1"); + value = headers[i].replace(regex, "$2"); + if (key.trim().length > 0) { + headerObj[key] = value; + } + } + + return headerObj; + } + + // strip whitespace from head/tail of PGN block + pgn = pgn.trim(); + + /* + * RegExp to split header. Takes advantage of the fact that header and movetext + * will always have a blank line between them (ie, two newline_char's). Handles + * case where movetext is empty by matching newlineChar until end of string is + * matched - effectively trimming from the end extra newlineChar. + * + * With default newline_char, will equal: + * /^(\[((?:\r?\n)|.)*\])((?:\s*\r?\n){2}|(?:\s*\r?\n)*$)/ + */ + const headerRegex = new RegExp( + "^(\\[((?:" + + mask(newlineChar) + + ")|.)*\\])" + + "((?:\\s*" + + mask(newlineChar) + + "){2}|(?:\\s*" + + mask(newlineChar) + + ")*$)" + ); + + // If no header given, begin with moves. + const headerRegexResults = headerRegex.exec(pgn); + const headerString = headerRegexResults + ? headerRegexResults.length >= 2 + ? headerRegexResults[1] + : "" + : ""; + + // Put the board in the starting position + this.reset(); + + // parse PGN header + const headers = parsePgnHeader(headerString); + let fen = ""; + + for (const key in headers) { + // check to see user is including fen (possibly with wrong tag case) + if (key.toLowerCase() === "fen") { + fen = headers[key]; + } + + this.header(key, headers[key]); + } + + /* + * the permissive parser should attempt to load a fen tag, even if it's the + * wrong case and doesn't include a corresponding [SetUp "1"] tag + */ + if (!strict) { + if (fen) { + this.load(fen, true); + } + } else { + /* + * strict parser - load the starting position indicated by [Setup '1'] + * and [FEN position] + */ + if (headers["SetUp"] === "1") { + if (!("FEN" in headers)) { + throw new Error( + "Invalid PGN: FEN tag must be supplied with SetUp tag" + ); + } + // second argument to load: don't clear the headers + this.load(headers["FEN"], true); + } + } + + /* + * NB: the regexes below that delete move numbers, recursive annotations, + * and numeric annotation glyphs may also match text in comments. To + * prevent this, we transform comments by hex-encoding them in place and + * decoding them again after the other tokens have been deleted. + * + * While the spec states that PGN files should be ASCII encoded, we use + * {en,de}codeURIComponent here to support arbitrary UTF8 as a convenience + * for modern users + */ + + function toHex(s: string): string { + return Array.from(s) + .map(function (c) { + /* + * encodeURI doesn't transform most ASCII characters, so we handle + * these ourselves + */ + return c.charCodeAt(0) < 128 + ? c.charCodeAt(0).toString(16) + : encodeURIComponent(c).replace(/%/g, "").toLowerCase(); + }) + .join(""); + } + + function fromHex(s: string): string { + return s.length == 0 + ? "" + : decodeURIComponent( + "%" + (s.match(/.{1,2}/g) || []).join("%") + ); + } + + const encodeComment = function (s: string) { + s = s.replace(new RegExp(mask(newlineChar), "g"), " "); + return `{${toHex(s.slice(1, s.length - 1))}}`; + }; + + const decodeComment = function (s: string) { + if (s.startsWith("{") && s.endsWith("}")) { + return fromHex(s.slice(1, s.length - 1)); + } + }; + + // delete header to get the moves + let ms = pgn + .replace(headerString, "") + .replace( + // encode comments so they don't get deleted below + new RegExp(`({[^}]*})+?|;([^${mask(newlineChar)}]*)`, "g"), + function (_match, bracket, semicolon) { + return bracket !== undefined + ? encodeComment(bracket) + : " " + encodeComment(`{${semicolon.slice(1)}}`); + } + ) + .replace(new RegExp(mask(newlineChar), "g"), " "); + + // delete recursive annotation variations + const ravRegex = /(\([^()]+\))+?/g; + while (ravRegex.test(ms)) { + ms = ms.replace(ravRegex, ""); + } + + // delete move numbers + ms = ms.replace(/\d+\.(\.\.)?/g, ""); + + // delete ... indicating black to move + ms = ms.replace(/\.\.\./g, ""); + + /* delete numeric annotation glyphs */ + ms = ms.replace(/\$\d+/g, ""); + + // trim and get array of moves + let moves = ms.trim().split(new RegExp(/\s+/)); + + // delete empty entries + moves = moves.filter(move => move !== ""); + + let result = ""; + + for (let halfMove = 0; halfMove < moves.length; halfMove++) { + const comment = decodeComment(moves[halfMove]); + if (comment !== undefined) { + this._comments[this.fen()] = comment; + continue; + } + + const move = this._moveFromSan(moves[halfMove], strict); + + // invalid move + if (move == null) { + // was the move an end of game marker + if (TERMINATION_MARKERS.indexOf(moves[halfMove]) > -1) { + result = moves[halfMove]; + } else { + throw new Error(`Invalid move in PGN: ${moves[halfMove]}`); + } + } else { + // reset the end of game marker if making a valid move + result = ""; + this._makeMove(move); + } + } + + /* + * Per section 8.2.6 of the PGN spec, the Result tag pair must match match + * the termination marker. Only do this when headers are present, but the + * result tag is missing + */ + + if ( + result && + Object.keys(this._header).length && + !this._header["Result"] + ) { + this.header("Result", result); + } + } + + /* + * Convert a move from 0x88 coordinates to Standard Algebraic Notation + * (SAN) + * + * @param {boolean} strict Use the strict SAN parser. It will throw errors + * on overly disambiguated moves (see below): + * + * r1bqkbnr/ppp2ppp/2n5/1B1pP3/4P3/8/PPPP2PP/RNBQK1NR b KQkq - 2 4 + * 4. ... Nge7 is overly disambiguated because the knight on c6 is pinned + * 4. ... Ne7 is technically the valid SAN + */ + + private _moveToSan(move: InternalMove, moves: InternalMove[]) { + let output = ""; + + if (move.flags & BITS.KSIDE_CASTLE) { + output = "O-O"; + } else if (move.flags & BITS.QSIDE_CASTLE) { + output = "O-O-O"; + } else { + if (move.piece !== PAWN) { + const disambiguator = getDisambiguator(move, moves); + output += move.piece.toUpperCase() + disambiguator; + } + + if (move.flags & (BITS.CAPTURE | BITS.EP_CAPTURE)) { + if (move.piece === PAWN) { + output += algebraic(move.from)[0]; + } + output += "x"; + } + + output += algebraic(move.to); + + if (move.promotion) { + output += "=" + move.promotion.toUpperCase(); + } + } + + this._makeMove(move); + if (this.isCheck()) { + if (this.isCheckmate()) { + output += "#"; + } else { + output += "+"; + } + } + this._undoMove(); + + return output; + } + + // convert a move from Standard Algebraic Notation (SAN) to 0x88 coordinates + private _moveFromSan(move: string, strict = false): InternalMove | null { + // strip off any move decorations: e.g Nf3+?! becomes Nf3 + const cleanMove = strippedSan(move); + + let pieceType = inferPieceType(cleanMove); + let moves = this._moves({ legal: true, piece: pieceType }); + + // strict parser + for (let i = 0, len = moves.length; i < len; i++) { + if (cleanMove === strippedSan(this._moveToSan(moves[i], moves))) { + return moves[i]; + } + } + + // the strict parser failed + if (strict) { + return null; + } + + let piece = undefined; + let matches = undefined; + let from = undefined; + let to = undefined; + let promotion = undefined; + + /* + * The default permissive (non-strict) parser allows the user to parse + * non-standard chess notations. This parser is only run after the strict + * Standard Algebraic Notation (SAN) parser has failed. + * + * When running the permissive parser, we'll run a regex to grab the piece, the + * to/from square, and an optional promotion piece. This regex will + * parse common non-standard notation like: Pe2-e4, Rc1c4, Qf3xf7, + * f7f8q, b1c3 + * + * NOTE: Some positions and moves may be ambiguous when using the permissive + * parser. For example, in this position: 6k1/8/8/B7/8/8/8/BN4K1 w - - 0 1, + * the move b1c3 may be interpreted as Nc3 or B1c3 (a disambiguated bishop + * move). In these cases, the permissive parser will default to the most + * basic interpretation (which is b1c3 parsing to Nc3). + */ + + let overlyDisambiguated = false; + + matches = cleanMove.match( + /([pnbrqkPNBRQK])?([a-h][1-8])x?-?([a-h][1-8])([qrbnQRBN])?/ + // piece from to promotion + ); + + if (matches) { + piece = matches[1]; + from = matches[2] as Square; + to = matches[3] as Square; + promotion = matches[4]; + + if (from.length == 1) { + overlyDisambiguated = true; + } + } else { + /* + * The [a-h]?[1-8]? portion of the regex below handles moves that may be + * overly disambiguated (e.g. Nge7 is unnecessary and non-standard when + * there is one legal knight move to e7). In this case, the value of + * 'from' variable will be a rank or file, not a square. + */ + + matches = cleanMove.match( + /([pnbrqkPNBRQK])?([a-h]?[1-8]?)x?-?([a-h][1-8])([qrbnQRBN])?/ + ); + + if (matches) { + piece = matches[1]; + from = matches[2] as Square; + to = matches[3] as Square; + promotion = matches[4]; + + if (from.length == 1) { + overlyDisambiguated = true; + } + } + } + + pieceType = inferPieceType(cleanMove); + moves = this._moves({ + legal: true, + piece: piece ? (piece as PieceSymbol) : pieceType, + }); + + for (let i = 0, len = moves.length; i < len; i++) { + if (from && to) { + // hand-compare move properties with the results from our permissive regex + if ( + (!piece || piece.toLowerCase() == moves[i].piece) && + Ox88[from] == moves[i].from && + Ox88[to] == moves[i].to && + (!promotion || + promotion.toLowerCase() == moves[i].promotion) + ) { + return moves[i]; + } else if (overlyDisambiguated) { + /* + * SPECIAL CASE: we parsed a move string that may have an unneeded + * rank/file disambiguator (e.g. Nge7). The 'from' variable will + */ + + const square = algebraic(moves[i].from); + if ( + (!piece || piece.toLowerCase() == moves[i].piece) && + Ox88[to] == moves[i].to && + (from == square[0] || from == square[1]) && + (!promotion || + promotion.toLowerCase() == moves[i].promotion) + ) { + return moves[i]; + } + } + } + } + + return null; + } + + ascii() { + let s = " +------------------------+\n"; + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + // display the rank + if (file(i) === 0) { + s += " " + "87654321"[rank(i)] + " |"; + } + + if (this._board[i]) { + const piece = this._board[i].type; + const color = this._board[i].color; + const symbol = + color === WHITE ? piece.toUpperCase() : piece.toLowerCase(); + s += " " + symbol + " "; + } else { + s += " . "; + } + + if ((i + 1) & 0x88) { + s += "|\n"; + i += 8; + } + } + s += " +------------------------+\n"; + s += " a b c d e f g h"; + + return s; + } + + perft(depth: number) { + const moves = this._moves({ legal: false }); + let nodes = 0; + const color = this._turn; + + for (let i = 0, len = moves.length; i < len; i++) { + this._makeMove(moves[i]); + if (!this._isKingAttacked(color)) { + if (depth - 1 > 0) { + nodes += this.perft(depth - 1); + } else { + nodes++; + } + } + this._undoMove(); + } + + return nodes; + } + + // pretty = external move object + private _makePretty(uglyMove: InternalMove): Move { + const { color, piece, from, to, flags, captured, promotion } = uglyMove; + + let prettyFlags = ""; + + for (const flag in BITS) { + if (BITS[flag] & flags) { + prettyFlags += FLAGS[flag]; + } + } + + const fromAlgebraic = algebraic(from); + const toAlgebraic = algebraic(to); + + const move: Move = { + color, + piece, + from: fromAlgebraic, + to: toAlgebraic, + san: this._moveToSan(uglyMove, this._moves({ legal: true })), + flags: prettyFlags, + lan: fromAlgebraic + toAlgebraic, + before: this.fen(), + after: "", + }; + + // generate the FEN for the 'after' key + this._makeMove(uglyMove); + move.after = this.fen(); + this._undoMove(); + + if (captured) { + move.captured = captured; + } + if (promotion) { + move.promotion = promotion; + move.lan += promotion; + } + + return move; + } + + turn() { + return this._turn; + } + + board(): (false | { square: Square; type: PieceSymbol; color: Color })[][] { + const output: ( + | false + | { + square: Square; + type: PieceSymbol; + color: Color; + } + )[][] = []; + let row: ( + | false + | { + square: Square; + type: PieceSymbol; + color: Color; + } + )[] = []; + + for (let i = Ox88.a8; i <= Ox88.h1; i++) { + if (!this._board[i]) { + row.push(false); + } else { + row.push({ + square: algebraic(i), + type: this._board[i].type, + color: this._board[i].color, + }); + } + if ((i + 1) & 0x88) { + output.push(row); + row = []; + i += 8; + } + } + + return output; + } + + squareColor(square: Square): Color { + if (square in Ox88) { + const sq = Ox88[square]; + return (rank(sq) + file(sq)) % 2 === 0 ? "w" : "b"; + } + + return null; + } + + history(): string[]; + history({ verbose }: { verbose: true }): Move[]; + history({ verbose }: { verbose: false }): string[]; + history({ verbose }: { verbose: boolean }): string[] | Move[]; + history({ verbose = false }: { verbose?: boolean } = {}) { + const reversedHistory = []; + const moveHistory = []; + + while (this._history.length > 0) { + reversedHistory.push(this._undoMove()); + } + + while (true) { + const move = reversedHistory.pop(); + if (!move) { + break; + } + + if (verbose) { + moveHistory.push(this._makePretty(move)); + } else { + moveHistory.push(this._moveToSan(move, this._moves())); + } + this._makeMove(move); + } + + return moveHistory; + } + + private _pruneComments() { + const reversedHistory = []; + const currentComments: Record = {}; + + const copyComment = (fen: string) => { + if (fen in this._comments) { + currentComments[fen] = this._comments[fen]; + } + }; + + while (this._history.length > 0) { + reversedHistory.push(this._undoMove()); + } + + copyComment(this.fen()); + + while (true) { + const move = reversedHistory.pop(); + if (!move) { + break; + } + this._makeMove(move); + copyComment(this.fen()); + } + this._comments = currentComments; + } + + getComment() { + return this._comments[this.fen()]; + } + + setComment(comment: string) { + this._comments[this.fen()] = comment + .replace("{", "[") + .replace("}", "]"); + } + + deleteComment() { + const comment = this._comments[this.fen()]; + delete this._comments[this.fen()]; + return comment; + } + + getComments() { + this._pruneComments(); + return Object.keys(this._comments).map((fen: string) => { + return { fen: fen, comment: this._comments[fen] }; + }); + } + + deleteComments() { + this._pruneComments(); + return Object.keys(this._comments).map(fen => { + const comment = this._comments[fen]; + delete this._comments[fen]; + return { fen: fen, comment: comment }; + }); + } +} diff --git a/chessfont.png b/chessfont.png new file 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+

+        
+        
+

Players: (click name to toggle strikethrough)

+
+ + diff --git a/main.css b/main.css new file mode 100644 index 0000000..e69de29 diff --git a/main.js b/main.js new file mode 100644 index 0000000..6285886 --- /dev/null +++ b/main.js @@ -0,0 +1,706 @@ +var _a; +import { Chess, Ox88, DEFAULT_POSITION, SQUARES, rank, file, WHITE, BLACK, KING, } from "./chess.js"; +function with_move(board, move) { + let new_board = new Chess(board.fen()); + new_board.move(move); + return new_board; +} +// function max_move_by(board: Chess, score: (_: Chess) => number): string { +// let best_score = 0; +// let best_move = ""; +// for (const move in board.moves()) { +// let new_board = with_move(board, move); +// let new_score = score(new_board); +// if ( +// new_score > best_score || +// (new_score == new_score && Math.random() > 0.5) +// ) { +// best_score = new_score; +// best_move = move; +// } +// } +// return best_move; +// } +// could return early if zero but meh +function min_move_by(board, score) { + let best_score = Infinity; + let best_move = ""; + let moves = board.moves(); + // console.log(moves); + for (const i in moves) { + let move = moves[i]; + try { + let new_board = with_move(board, move); + let new_score = score(new_board); + // console.log({ move, best_score, new_score, best_move }); + if (new_score < best_score || + (new_score == best_score && Math.random() > 0.5)) { + console.log("New best (or equal): ", new_score, move); + best_score = new_score; + best_move = move; + } + } + catch (e) { + console.error(e); + continue; + } + } + return best_move; +} +// D --> movelist users (bad name whatever) +const random_move = board => { + const moves = board.moves(); + const move = moves[Math.floor(Math.random() * moves.length)]; + return move; +}; +function make_lexo(m) { + let { rank: src_row, file: src_col } = rank_and_file(m.from); + let { rank: dst_row, file: dst_col } = rank_and_file(m.to); + let promote_to = m.promotion; + return [src_row, src_col, dst_row, dst_col, promote_to]; +} +function lexo_sort_moves(a, b) { + let al = make_lexo(a); + let bl = make_lexo(a); + for (const i in al) { + if (al[i] < bl[i]) { + return -1; + } + else if (al[i] > bl[i]) { + return 1; + } + } + return 0; +} +const first_move = board => { + const moves = board.moves({ verbose: true }).sort(lexo_sort_moves); + return moves[0].san; +}; +const alphabetical = board => { + const moves = board.moves(); + moves.sort(); + return moves[0]; +}; +// i believe the actual one tracks things better (pawns are treated as different) +// yeah this version sucks butttttt uh +// yeah +// prettier-ignore +var equalizer_state = { + piece_moves: { + p: 0, + b: 0, + n: 0, + r: 0, + q: 0, + k: 0, + }, + // bad + square_visits: { + a8: 0, b8: 0, c8: 0, d8: 0, e8: 0, f8: 0, g8: 0, h8: 0, + a7: 0, b7: 0, c7: 0, d7: 0, e7: 0, f7: 0, g7: 0, h7: 0, + a6: 0, b6: 0, c6: 0, d6: 0, e6: 0, f6: 0, g6: 0, h6: 0, + a5: 0, b5: 0, c5: 0, d5: 0, e5: 0, f5: 0, g5: 0, h5: 0, + a4: 0, b4: 0, c4: 0, d4: 0, e4: 0, f4: 0, g4: 0, h4: 0, + a3: 0, b3: 0, c3: 0, d3: 0, e3: 0, f3: 0, g3: 0, h3: 0, + a2: 0, b2: 0, c2: 0, d2: 0, e2: 0, f2: 0, g2: 0, h2: 0, + a1: 0, b1: 0, c1: 0, d1: 0, e1: 0, f1: 0, g1: 0, h1: 0 + } +}; +const equalizer = board => { + let best_move; + let least_moved_found = Infinity; + let least_visited_found = Infinity; + let piece_moving = "k"; + let square_visiting = "a1"; + // let least_moved = PIECE_SYMBOLS.sort( + // (a, b) => + // equalizer_state.piece_moves[a] - equalizer_state.piece_moves[b] + // )[0]; + // let least_visited = SQUARES.sort( + // (a, b) => + // equalizer_state.square_visits[a] - equalizer_state.square_visits[b] + // )[0]; + // cbb to do the proper randomness (23:41) + for (const move of board.moves({ verbose: true })) { + if (equalizer_state.piece_moves[move.piece] < least_moved_found || + (equalizer_state.piece_moves[move.piece] == least_moved_found && + equalizer_state.square_visits[move.to] < least_visited_found)) { + best_move = move; + least_moved_found = equalizer_state.piece_moves[move.piece]; + least_visited_found = equalizer_state.square_visits[move.to]; + piece_moving = move.piece; + square_visiting = move.to; + } + } + equalizer_state.piece_moves[piece_moving] += 1; + equalizer_state.square_visits[square_visiting] += 1; + return best_move.san; +}; +// D --> min-maxxing some score of the board after moving +const min_oppt_move = board => { + let num_moves = b => b.moves().length; + return min_move_by(board, num_moves); +}; +function num_pieces_on_own_color(b) { + let count = 0; + for (const square of SQUARES) { + let piece = b.get(square); + if (typeof piece == "boolean") { + continue; + } + if (piece.color == b.squareColor(square)) { + count += 1; + } + } + return count; +} +const same_color = board => { + return min_move_by(board, b => 64 - num_pieces_on_own_color(b)); +}; +const opposite_color = board => { + return min_move_by(board, num_pieces_on_own_color); +}; +function rank_and_file(s) { + return { rank: rank(Ox88[s]), file: file(Ox88[s]) }; +} +function chebyshev_distance(a, b) { + let { rank: r1, file: f1 } = rank_and_file(a); + let { rank: r2, file: f2 } = rank_and_file(b); + // forgot the abs UGH + return Math.max(Math.abs(r2 - r1), Math.abs(f2 - f1)); +} +const START_BOARD = new Chess(DEFAULT_POSITION); +// good enough +function move_distance(piece) { + let rank = rank_and_file(piece.square).rank; + let file = rank_and_file(piece.square).file; + switch (piece.type) { + case "k": + return chebyshev_distance(piece.square, find({ color: HUMAN_COLOR, type: "k" }, START_BOARD)); + case "p": + return Math.abs(rank - 6); + case "r": + return (Math.abs(rank - 7) + + Math.min(Math.abs(file - 7), Math.abs(file - 0))); + case "n": + // inauthentic + return pieces_of_color(START_BOARD, HUMAN_COLOR) + .filter(p => p.type == "k") + .map(p => chebyshev_distance(piece.square, p.square)) + .reduce((a, b) => Math.max(a, b)); + case "b": + let is_black = START_BOARD.squareColor(piece.square) == "b"; + let dest_col = is_black ? 2 : 5; + let dr = Math.abs(rank - 7); + let dc = Math.abs(file - dest_col); + return Math.max(dr, dc); + case "q": + return Math.max(Math.abs(rank - 7), Math.abs(file - 3)); + } +} +// oh gosh i can do symmetry by making the "distance" just a score fn which +// would... work but dang so many things have done something similar in hindsight +// actually hm symmetry is weird +function minimize_distances(distance_fn) { + const player_score = (board) => { + let total_distance = 0; + for (const piece of pieces_of_color(board, ROBOT_COLOR)) { + total_distance += distance_fn(piece); + } + return total_distance; + }; + return b => min_move_by(b, player_score); +} +const reverse_starting = minimize_distances(move_distance); +// or lens :] +function mirror_player(mirror_fn) { + let player_score = (b) => { + // it's worrying how the strategies have shifted, before it was more + // common for them to weigh your pieces equally, meaning they might take + // them to make the score better; silver lining: a bit easier to tell + // apart potentially + // the penalties are taken from the og code (the last four are the ones + // where i finally figured out where to find the players (curse_you + // UpperCamelCase)) + // the behavior is likely still slightly different + let total = 0; + for (const square of SQUARES) { + let reflected = mirror_fn(square); + console.log(square, reflected); + let piece = b.get(square); + let reflection = b.get(reflected); + if (typeof piece == "boolean" && typeof reflection == "boolean") { + continue; + } + if (typeof piece == "boolean") { + total += 10; + continue; + } + if (typeof reflection == "boolean") { + total += 10; + continue; + } + if (piece.color == reflection.color) { + total += 5; + continue; + } + if (piece.type != reflection.type) { + total += 1; + continue; + } + } + return total; + }; + return b => min_move_by(b, player_score); +} +function rank_and_file_to_algebraic(rf) { + let r = "8"; + let f = "h"; + // vim's was very helpful here :] + // I WAS MIRRORING AND THEN MIRRORING AGAIN OH MY GOOOOOSH + // prettier-ignore + switch (rf.rank) { + case 0: + r = "8"; + break; + case 1: + r = "7"; + break; + case 2: + r = "6"; + break; + case 3: + r = "5"; + break; + case 4: + r = "4"; + break; + case 5: + r = "3"; + break; + case 6: + r = "7"; + break; + case 7: + r = "1"; + break; + } + // prettier-ignore + switch (rf.file) { + case 0: + f = "a"; + break; + case 1: + f = "b"; + break; + case 2: + f = "c"; + break; + case 3: + f = "d"; + break; + case 4: + f = "e"; + break; + case 5: + f = "f"; + break; + case 6: + f = "g"; + break; + case 7: + f = "h"; + break; + } + return `${f}${r}`; +} +function mirror_y(s) { + let rf = rank_and_file(s); + rf.rank = 7 - rf.rank; + return rank_and_file_to_algebraic(rf); +} +const sym_mirror_y = mirror_player(mirror_y); +function mirror_x(s) { + let rf = rank_and_file(s); + rf.file = 7 - rf.file; + return rank_and_file_to_algebraic(rf); +} +const sym_mirror_x = mirror_player(mirror_x); +function flip(s) { + let rf = rank_and_file(s); + rf.rank = 7 - rf.rank; + rf.file = 7 - rf.file; + return rank_and_file_to_algebraic(rf); +} +const sym_180 = mirror_player(flip); +function find(p, b) { + for (const square of SQUARES) { + let got = b.get(square); + if (typeof got == "boolean") { + continue; + } + if (got.color == p.color && got.type == p.type) { + return square; + } + } + console.log(`didn't find this :O ${p}`); + return null; +} +// maybe a find function would be useful Piece -> Board -> Square | null +const suicide_king = board => { + let distance_between_kings = (b) => { + var _a, _b; + return chebyshev_distance((_a = find({ color: WHITE, type: KING }, b)) !== null && _a !== void 0 ? _a : "a1", (_b = find({ color: BLACK, type: KING }, b)) !== null && _b !== void 0 ? _b : "a1"); + }; + return min_move_by(board, distance_between_kings); +}; +// cccp and pacifist are basically opposites +// ugh not really +function pieces_of_color(b, color) { + let flat_board = b.board().flat(); + let non_empties = []; + for (const s of flat_board) { + if (typeof s == "boolean") { + continue; + } + non_empties.push(s); + } + return non_empties.filter(p => p.color == color); +} +function num_pieces_of_color(b, color) { + return pieces_of_color(b, color).length; +} +// see generous in http://tom7.org/chess/weak.pdf +function value_piece(type) { + switch (type) { + case "p": + return 1; + case "b": + case "n": + return 3; + case "r": + return 5; + case "q": + return 9; + case "k": + // impossible (mostly) + // idk why i said this it's really not impossible lol + return 413; + } +} +function value_of_pieces_of_color(b, color) { + return pieces_of_color(b, color) + .map(p => value_piece(p.type)) + .reduce((a, b) => a + b); +} +// hm +const HUMAN_COLOR = WHITE; +const ROBOT_COLOR = BLACK; +// DONE: I THINK: UGH piece value +const cccp = board => { + let cccp_score = (b) => { + if (b.isCheckmate()) { + console.log("Found checkmate! :D"); + return 0; + } + if (b.isCheck()) { + console.log("Found check! :T"); + return 1; + } + // maximize the difference in value + let prev_value = value_of_pieces_of_color(board, HUMAN_COLOR); + let new_value = value_of_pieces_of_color(b, HUMAN_COLOR); + if (new_value < prev_value) { + console.log("There's less human-colored pieces now! :)"); + return 10 * (6 - (prev_value - new_value)); + } + // sum the ranks of the robot pieces (brittle with piece colors changing which uhh just don't do that :)) + // they are zero based oopsie + return (100 * + pieces_of_color(b, ROBOT_COLOR) + .map(b => 8 - rank_and_file(b.square).rank) + .reduce((a, b) => a + b)); + }; + return min_move_by(board, cccp_score); +}; +// FIXME: function name is TOO short FIX +function total_chebyshev_distances_of_pieces_of_color_to_square(board, color, square) { + return pieces_of_color(board, color) + .map(p => chebyshev_distance(p.square, square)) + .reduce((a, b) => a + b); +} +const huddle = board => { + return min_move_by(board, b => { + var _a; + return total_chebyshev_distances_of_pieces_of_color_to_square(b, ROBOT_COLOR, (_a = find({ color: ROBOT_COLOR, type: KING }, b)) !== null && _a !== void 0 ? _a : "a1"); + }); +}; +const swarm = board => { + return min_move_by(board, b => { + var _a; + return total_chebyshev_distances_of_pieces_of_color_to_square(b, ROBOT_COLOR, (_a = find({ color: HUMAN_COLOR, type: KING }, b)) !== null && _a !== void 0 ? _a : "a1"); + }); +}; +function sum_of_possible_capture_value(b) { + let prev_value = value_of_pieces_of_color(b, ROBOT_COLOR); + let sum = 0; + for (const move of b.moves()) { + let new_board = with_move(b, move); + let new_value = value_of_pieces_of_color(new_board, ROBOT_COLOR); + // value only goes down..... pretty much + // but the negation is now done by the guys so + sum += prev_value - new_value; + } + return sum; +} +// surprisingly not too difficult +const generous = board => { + // sum of the difference in ROBOT_COLOR piece value of all moves + // but like uhh negative + let generous_score = (b) => { + return -sum_of_possible_capture_value(b); + }; + return min_move_by(board, generous_score); +}; +const no_i_insist = board => { + let no_i_insist_score = (b) => { + if (b.isCheckmate()) { + return 612; + } + if (b.isCheck()) { + return 413; + } + let prev_value = value_of_pieces_of_color(b, ROBOT_COLOR); + return -(sum_of_possible_capture_value(b) / b.moves().length); + }; + return min_move_by(board, no_i_insist_score); +}; +const pacifist = board => { + let pacifist_score = b => { + if (b.isCheckmate()) { + return 612; + } + if (b.isCheck()) { + return 413; + } + let prev_value = value_of_pieces_of_color(board, HUMAN_COLOR); + let new_value = value_of_pieces_of_color(b, HUMAN_COLOR); + if (new_value < prev_value) { + return prev_value - new_value; + } + return 0; + }; + return min_move_by(board, pacifist_score); +}; +const players = [ + { + f: random_move, + name: "random_move", + description: "Moves randomly, believe it or not.", + }, + { + f: same_color, + name: "same_color", + description: "Makes the move that maximizes the number of pieces on their own color", + }, + { + f: opposite_color, + name: "opposite_color", + description: "Behavior left as an exercise to the reader", + }, + { + f: pacifist, + name: "pacifist", + description: "Avoids checkmate, then avoids checks, then avoids captures, if forced, captures the lowest value piece it can", + }, + { + f: first_move, + name: "first_move", + description: "Makes the lexicographically first move based on [source_row, source_col, dest_row, dest_col, promotion]", + }, + { + f: alphabetical, + name: "alphabetical", + description: "Makes the first move asciilphabetically (based on algebraic notation)", + }, + { + f: huddle, + name: "huddle", + description: "Makes the move that minimizes the total Chebyshev distances from their pieces to their king", + }, + { + f: swarm, + name: "swarm", + description: "Makes the move that minimizes the total Chebyshev distances from their pieces to YOUR king", + }, + { + f: generous, + name: "generous", + description: "Maximizes the number of YOUR moves that take their pieces, weighting by value", + }, + { + f: no_i_insist, + name: "no_i_insist", + description: "Maximizes the proportion of potential capture value of YOUR moves to the number of YOUR moves; very weird the way i've done it", + }, + { + f: reverse_starting, + name: "reverse_starting", + description: "Makes the move that minimizes the number of moves it takes to move their pieces to the opposite end", + }, + { + f: cccp, + name: "cccp", + description: "First checkmates, then checks, then captures (the best piece it can), then pushes", + }, + { + f: suicide_king, + name: "suicide_king", + description: "Makes the move that minimizes the Chebyshev distance between the two kings", + }, + { + f: sym_mirror_y, + name: "sym_mirror_y", + description: "Tries to make the board as vertically symmetric as possible (basically copies your moves)", + }, + { + f: sym_mirror_x, + name: "sym_mirror_x", + description: "Tries to make the board as horizontally symmetric as possible (basically doesn't copy your moves or do anything useful)", + }, + { + f: sym_180, + name: "sym_180", + description: "Tries to make the board as symmetric as possible when flipped around", + }, + { + f: min_oppt_move, + name: "min_oppt_move", + description: "Does the move that leaves the least moves for YOU", + }, + { + f: equalizer, + name: "equalizer", + description: "Moves the least moved piece (actually piece type, e.g. moving a pawn counts for all pawns; it sucks, i know), breaking ties by moving to the least visited square", + }, + // alphabetical is fine i guess, since the checklist order has little to do with the og paper + // ehhh nvm +]; //.sort((a, b) => a.name.localeCompare(b.name)); +// https://stackoverflow.com/questions/12739171/javascript-epoch-time-in-days +function days_since_epoch() { + var now = new Date().getMilliseconds(); + return Math.floor(now / 8.64e7); +} +function find_specified_in_hash() { + return players.find(p => `#${p.name}` == window.location.hash); +} +// bad +// const todays_player = players[days_since_epoch() % players.length]; +const todays_player = (_a = find_specified_in_hash()) !== null && _a !== void 0 ? _a : players[Math.floor(Math.random() * players.length)]; +console.log(`SPOILER: today's player is ${todays_player.name}`); +// const todays_player = min_oppt_move; +const board = document.getElementById("board"); +const game = new Chess(); +function computer_move() { + num_moves++; + console.log(num_moves); + return todays_player.f(game); +} +// might want to change this when it's more wordly +function show_game_over() { + let game_over = document.getElementById("game-over"); + game_over.style.display = "block"; + game_over.innerText = `GAME OVER; player was ${todays_player.name}`; + console.log("GAME OVER"); +} +function show_win() { + let game_over = document.getElementById("game-over"); + game_over.style.display = "block"; + game_over.innerText = "YOU WIN YOU WIN YOU WIN YOU WIN HOLY CRAP"; + let stats = document.getElementById("stats"); + stats.style.display = "block"; + let stats_text = `#EloWorldle413\nGuesses: ${num_guesses}\nMoves: ${num_moves}`; + stats.innerText = stats_text; + let copy_stats = document.getElementById("copy-stats"); + copy_stats.style.display = "block"; + copy_stats.addEventListener("click", _ => navigator.clipboard.writeText(stats_text)); + console.log("PLAYER IS WIN"); +} +var num_guesses = 0; +var num_moves = 0; +function append_players_to(n) { + for (const player of players) { + let child = document.createElement("div"); + child.classList.add("player"); + let child_name = document.createElement("h1"); + child_name.classList.add("player-name"); + child_name.innerText = player.name; + let child_desc = document.createElement("p"); + child_desc.classList.add("player-desc"); + child_desc.innerText = player.description; + let guess_button = document.createElement("button"); + guess_button.innerText = "^ guess ^"; + guess_button.onclick = _ => { + num_guesses++; + if (todays_player.name == player.name) { + show_win(); + child.classList.add("correct"); + } + else { + child.classList.add("wrong"); + } + guess_button.onclick = () => { }; + }; + child.appendChild(child_name); + child.appendChild(child_desc); + child.appendChild(guess_button); + child_name.addEventListener("click", _ => child.classList.toggle("strikethrough")); + n.appendChild(child); + } +} +window.addEventListener("DOMContentLoaded", () => { + board.addEventListener("movestart", (e) => { + console.log(`Move started: ${e.detail.from}, ${e.detail.piece.color} ${e.detail.piece.pieceType}`); + e.detail.setTargets( + // This produces a list like ["e3", "e5"] + game.moves({ square: e.detail.from, verbose: true }).map(m => m.to)); + if (game.isGameOver()) { + show_game_over(); + } + }); + board.addEventListener("moveend", (e) => { + console.log(`Move ending: ${e.detail.from} -> ${e.detail.to}, ${e.detail.piece.color} ${e.detail.piece.pieceType}`); + const move = game.move({ + from: e.detail.from, + to: e.detail.to, + promotion: "q", + }); + if (move === null) { + e.preventDefault(); + } + if (game.isGameOver()) { + show_game_over(); + } + }); + board.addEventListener("movefinished", (e) => { + board.fen = game.fen(); + board.turn = game.turn() === "w" ? "white" : "black"; + board.interactive = game.turn() === "w"; + if (!board.interactive) { + let move = computer_move(); + if (!move) { + console.log("Didn't get a move from the computer (this is fine if the game is over)"); + return; + } + console.log(`Computer move: ${move}`); + game.move(move); + board.fen = game.fen(); + board.turn = "white"; + board.interactive = true; + } + }); + document + .getElementById("finish") + .addEventListener("click", _ => show_game_over()); + append_players_to(document.getElementById("players")); +}); diff --git a/main.ts b/main.ts new file mode 100644 index 0000000..1404c23 --- /dev/null +++ b/main.ts @@ -0,0 +1,858 @@ +import { + Chess, + Move, + Square, + Ox88, + DEFAULT_POSITION, + SQUARES, + rank, + file, + Piece, + WHITE, + BLACK, + KING, + PieceSymbol, + Color, + PIECE_SYMBOLS, +} from "./chess.js"; + +type Player = (_: Chess) => string; + +function with_move(board: Chess, move: string): Chess { + let new_board = new Chess(board.fen()); + new_board.move(move); + return new_board; +} + +// function max_move_by(board: Chess, score: (_: Chess) => number): string { +// let best_score = 0; +// let best_move = ""; + +// for (const move in board.moves()) { +// let new_board = with_move(board, move); +// let new_score = score(new_board); + +// if ( +// new_score > best_score || +// (new_score == new_score && Math.random() > 0.5) +// ) { +// best_score = new_score; +// best_move = move; +// } +// } + +// return best_move; +// } + +// could return early if zero but meh +function min_move_by(board: Chess, score: (_: Chess) => number): string { + let best_score = Infinity; + let best_move = ""; + + let moves = board.moves(); + // console.log(moves); + for (const i in moves) { + let move = moves[i]; + try { + let new_board = with_move(board, move); + let new_score = score(new_board); + // console.log({ move, best_score, new_score, best_move }); + + if ( + new_score < best_score || + (new_score == best_score && Math.random() > 0.5) + ) { + console.log("New best (or equal): ", new_score, move); + best_score = new_score; + best_move = move; + } + } catch (e) { + console.error(e); + continue; + } + } + return best_move; +} + +// D --> movelist users (bad name whatever) +const random_move: Player = board => { + const moves = board.moves(); + const move = moves[Math.floor(Math.random() * moves.length)]; + return move; +}; + +function make_lexo(m: Move): [number, number, number, number, PieceSymbol] { + let { rank: src_row, file: src_col } = rank_and_file(m.from); + let { rank: dst_row, file: dst_col } = rank_and_file(m.to); + let promote_to = m.promotion; + + return [src_row, src_col, dst_row, dst_col, promote_to]; +} + +function lexo_sort_moves(a: Move, b: Move): -1 | 0 | 1 { + let al = make_lexo(a); + let bl = make_lexo(a); + for (const i in al) { + if (al[i] < bl[i]) { + return -1; + } else if (al[i] > bl[i]) { + return 1; + } + } + + return 0; +} + +const first_move: Player = board => { + const moves = board.moves({ verbose: true }).sort(lexo_sort_moves); + return moves[0].san; +}; + +const alphabetical: Player = board => { + const moves = board.moves(); + moves.sort(); + + return moves[0]; +}; + +// i believe the actual one tracks things better (pawns are treated as different) +// yeah this version sucks butttttt uh +// yeah +// prettier-ignore +var equalizer_state: { + piece_moves: Record; + square_visits: Record; +} = { + piece_moves: { + p: 0, + b: 0, + n: 0, + r: 0, + q: 0, + k: 0, + }, + // bad + square_visits: { + a8: 0, b8: 0, c8: 0, d8: 0, e8: 0, f8: 0, g8: 0, h8: 0, + a7: 0, b7: 0, c7: 0, d7: 0, e7: 0, f7: 0, g7: 0, h7: 0, + a6: 0, b6: 0, c6: 0, d6: 0, e6: 0, f6: 0, g6: 0, h6: 0, + a5: 0, b5: 0, c5: 0, d5: 0, e5: 0, f5: 0, g5: 0, h5: 0, + a4: 0, b4: 0, c4: 0, d4: 0, e4: 0, f4: 0, g4: 0, h4: 0, + a3: 0, b3: 0, c3: 0, d3: 0, e3: 0, f3: 0, g3: 0, h3: 0, + a2: 0, b2: 0, c2: 0, d2: 0, e2: 0, f2: 0, g2: 0, h2: 0, + a1: 0, b1: 0, c1: 0, d1: 0, e1: 0, f1: 0, g1: 0, h1: 0 + } +}; + +const equalizer: Player = board => { + let best_move: Move; + let least_moved_found = Infinity; + let least_visited_found = Infinity; + let piece_moving: PieceSymbol = "k"; + let square_visiting: Square = "a1"; + + // let least_moved = PIECE_SYMBOLS.sort( + // (a, b) => + // equalizer_state.piece_moves[a] - equalizer_state.piece_moves[b] + // )[0]; + // let least_visited = SQUARES.sort( + // (a, b) => + // equalizer_state.square_visits[a] - equalizer_state.square_visits[b] + // )[0]; + + // cbb to do the proper randomness (23:41) + for (const move of board.moves({ verbose: true })) { + if ( + equalizer_state.piece_moves[move.piece] < least_moved_found || + (equalizer_state.piece_moves[move.piece] == least_moved_found && + equalizer_state.square_visits[move.to] < least_visited_found) + ) { + best_move = move; + least_moved_found = equalizer_state.piece_moves[move.piece]; + least_visited_found = equalizer_state.square_visits[move.to]; + piece_moving = move.piece; + square_visiting = move.to; + } + } + + equalizer_state.piece_moves[piece_moving] += 1; + equalizer_state.square_visits[square_visiting] += 1; + + return best_move.san; +}; + +// D --> min-maxxing some score of the board after moving +const min_oppt_move: Player = board => { + let num_moves = b => b.moves().length; + return min_move_by(board, num_moves); +}; + +function num_pieces_on_own_color(b: Chess): number { + let count = 0; + for (const square of SQUARES) { + let piece = b.get(square); + if (typeof piece == "boolean") { + continue; + } + if (piece.color == b.squareColor(square)) { + count += 1; + } + } + return count; +} + +const same_color: Player = board => { + return min_move_by(board, b => 64 - num_pieces_on_own_color(b)); +}; + +const opposite_color: Player = board => { + return min_move_by(board, num_pieces_on_own_color); +}; + +function rank_and_file(s: Square): { rank: number; file: number } { + return { rank: rank(Ox88[s]), file: file(Ox88[s]) }; +} + +function chebyshev_distance(a: Square, b: Square): number { + let { rank: r1, file: f1 } = rank_and_file(a); + let { rank: r2, file: f2 } = rank_and_file(b); + // forgot the abs UGH + return Math.max(Math.abs(r2 - r1), Math.abs(f2 - f1)); +} + +const START_BOARD: Chess = new Chess(DEFAULT_POSITION); + +// good enough +function move_distance(piece: { square: Square; type: PieceSymbol }): number { + let rank = rank_and_file(piece.square).rank; + let file = rank_and_file(piece.square).file; + switch (piece.type) { + case "k": + return chebyshev_distance( + piece.square, + find({ color: HUMAN_COLOR, type: "k" }, START_BOARD) + ); + case "p": + return Math.abs(rank - 6); + case "r": + return ( + Math.abs(rank - 7) + + Math.min(Math.abs(file - 7), Math.abs(file - 0)) + ); + case "n": + // inauthentic + return pieces_of_color(START_BOARD, HUMAN_COLOR) + .filter(p => p.type == "k") + .map(p => chebyshev_distance(piece.square, p.square)) + .reduce((a, b) => Math.max(a, b)); + case "b": + let is_black = START_BOARD.squareColor(piece.square) == "b"; + let dest_col = is_black ? 2 : 5; + let dr = Math.abs(rank - 7); + let dc = Math.abs(file - dest_col); + return Math.max(dr, dc); + case "q": + return Math.max(Math.abs(rank - 7), Math.abs(file - 3)); + } +} + +// oh gosh i can do symmetry by making the "distance" just a score fn which +// would... work but dang so many things have done something similar in hindsight +// actually hm symmetry is weird +function minimize_distances( + distance_fn: (piece: { square: Square; type: PieceSymbol }) => number +): Player { + const player_score = (board: Chess) => { + let total_distance = 0; + + for (const piece of pieces_of_color(board, ROBOT_COLOR)) { + total_distance += distance_fn(piece); + } + + return total_distance; + }; + + return b => min_move_by(b, player_score); +} + +const reverse_starting: Player = minimize_distances(move_distance); + +// or lens :] +function mirror_player(mirror_fn: (_: Square) => Square): Player { + let player_score = (b: Chess) => { + // it's worrying how the strategies have shifted, before it was more + // common for them to weigh your pieces equally, meaning they might take + // them to make the score better; silver lining: a bit easier to tell + // apart potentially + + // the penalties are taken from the og code (the last four are the ones + // where i finally figured out where to find the players (curse_you + // UpperCamelCase)) + // the behavior is likely still slightly different + let total = 0; + for (const square of SQUARES) { + let reflected = mirror_fn(square); + console.log(square, reflected); + let piece = b.get(square); + let reflection = b.get(reflected); + + if (typeof piece == "boolean" && typeof reflection == "boolean") { + continue; + } + + if (typeof piece == "boolean") { + total += 10; + continue; + } + + if (typeof reflection == "boolean") { + total += 10; + continue; + } + + if (piece.color == reflection.color) { + total += 5; + continue; + } + + if (piece.type != reflection.type) { + total += 1; + continue; + } + } + + return total; + }; + + return b => min_move_by(b, player_score); +} + +function rank_and_file_to_algebraic(rf: { + rank: number; + file: number; +}): Square { + let r: "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" = "8"; + let f: "a" | "b" | "c" | "d" | "e" | "f" | "g" | "h" = "h"; + + // vim's was very helpful here :] + // I WAS MIRRORING AND THEN MIRRORING AGAIN OH MY GOOOOOSH + // prettier-ignore + switch (rf.rank) { + case 0: r = "8"; break; + case 1: r = "7"; break; + case 2: r = "6"; break; + case 3: r = "5"; break; + case 4: r = "4"; break; + case 5: r = "3"; break; + case 6: r = "7"; break; + case 7: r = "1"; break; + } + + // prettier-ignore + switch (rf.file) { + case 0: f = "a"; break; + case 1: f = "b"; break; + case 2: f = "c"; break; + case 3: f = "d"; break; + case 4: f = "e"; break; + case 5: f = "f"; break; + case 6: f = "g"; break; + case 7: f = "h"; break; + } + + return `${f}${r}`; +} + +function mirror_y(s: Square): Square { + let rf = rank_and_file(s); + rf.rank = 7 - rf.rank; + return rank_and_file_to_algebraic(rf); +} + +const sym_mirror_y: Player = mirror_player(mirror_y); + +function mirror_x(s: Square): Square { + let rf = rank_and_file(s); + rf.file = 7 - rf.file; + return rank_and_file_to_algebraic(rf); +} + +const sym_mirror_x: Player = mirror_player(mirror_x); + +function flip(s: Square): Square { + let rf = rank_and_file(s); + rf.rank = 7 - rf.rank; + rf.file = 7 - rf.file; + return rank_and_file_to_algebraic(rf); +} + +const sym_180: Player = mirror_player(flip); + +function find(p: Piece, b: Chess): Square | null { + for (const square of SQUARES) { + let got = b.get(square); + if (typeof got == "boolean") { + continue; + } + if (got.color == p.color && got.type == p.type) { + return square; + } + } + console.log(`didn't find this :O ${p}`); + return null; +} + +// maybe a find function would be useful Piece -> Board -> Square | null +const suicide_king: Player = board => { + let distance_between_kings = (b: Chess) => + chebyshev_distance( + find({ color: WHITE, type: KING }, b) ?? "a1", + find({ color: BLACK, type: KING }, b) ?? "a1" + ); + return min_move_by(board, distance_between_kings); +}; + +// cccp and pacifist are basically opposites +// ugh not really + +function pieces_of_color( + b: Chess, + color: Color +): { square: Square; type: PieceSymbol; color: Color }[] { + let flat_board = b.board().flat(); + let non_empties: { square: Square; type: PieceSymbol; color: Color }[] = []; + for (const s of flat_board) { + if (typeof s == "boolean") { + continue; + } + non_empties.push(s); + } + + return non_empties.filter(p => p.color == color); +} + +function num_pieces_of_color(b: Chess, color: Color): number { + return pieces_of_color(b, color).length; +} +// see generous in http://tom7.org/chess/weak.pdf +function value_piece(type: PieceSymbol): number { + switch (type) { + case "p": + return 1; + case "b": + case "n": + return 3; + case "r": + return 5; + case "q": + return 9; + case "k": + // impossible (mostly) + // idk why i said this it's really not impossible lol + return 413; + } +} +function value_of_pieces_of_color(b: Chess, color: Color): number { + return pieces_of_color(b, color) + .map(p => value_piece(p.type)) + .reduce((a, b) => a + b); +} + +// hm +const HUMAN_COLOR: Color = WHITE; +const ROBOT_COLOR: Color = BLACK; + +// DONE: I THINK: UGH piece value +const cccp: Player = board => { + let cccp_score = (b: Chess) => { + if (b.isCheckmate()) { + console.log("Found checkmate! :D"); + return 0; + } + if (b.isCheck()) { + console.log("Found check! :T"); + return 1; + } + // maximize the difference in value + let prev_value = value_of_pieces_of_color(board, HUMAN_COLOR); + let new_value = value_of_pieces_of_color(b, HUMAN_COLOR); + if (new_value < prev_value) { + console.log("There's less human-colored pieces now! :)"); + return 10 * (6 - (prev_value - new_value)); + } + // sum the ranks of the robot pieces (brittle with piece colors changing which uhh just don't do that :)) + // they are zero based oopsie + return ( + 100 * + pieces_of_color(b, ROBOT_COLOR) + .map(b => 8 - rank_and_file(b.square).rank) + .reduce((a, b) => a + b) + ); + }; + return min_move_by(board, cccp_score); +}; + +// FIXME: function name is TOO short FIX +function total_chebyshev_distances_of_pieces_of_color_to_square( + board: Chess, + color: Color, + square: Square +): number { + return pieces_of_color(board, color) + .map(p => chebyshev_distance(p.square, square)) + .reduce((a, b) => a + b); +} + +const huddle: Player = board => { + return min_move_by(board, b => + total_chebyshev_distances_of_pieces_of_color_to_square( + b, + ROBOT_COLOR, + find({ color: ROBOT_COLOR, type: KING }, b) ?? "a1" + ) + ); +}; + +const swarm: Player = board => { + return min_move_by(board, b => + total_chebyshev_distances_of_pieces_of_color_to_square( + b, + ROBOT_COLOR, + find({ color: HUMAN_COLOR, type: KING }, b) ?? "a1" + ) + ); +}; + +function sum_of_possible_capture_value(b: Chess): number { + let prev_value = value_of_pieces_of_color(b, ROBOT_COLOR); + + let sum = 0; + for (const move of b.moves()) { + let new_board = with_move(b, move); + let new_value = value_of_pieces_of_color(new_board, ROBOT_COLOR); + // value only goes down..... pretty much + // but the negation is now done by the guys so + sum += prev_value - new_value; + } + + return sum; +} + +// surprisingly not too difficult +const generous: Player = board => { + // sum of the difference in ROBOT_COLOR piece value of all moves + // but like uhh negative + let generous_score = (b: Chess) => { + return -sum_of_possible_capture_value(b); + }; + + return min_move_by(board, generous_score); +}; + +const no_i_insist: Player = board => { + let no_i_insist_score = (b: Chess) => { + if (b.isCheckmate()) { + return 612; + } + if (b.isCheck()) { + return 413; + } + let prev_value = value_of_pieces_of_color(b, ROBOT_COLOR); + return -(sum_of_possible_capture_value(b) / b.moves().length); + }; + + return min_move_by(board, no_i_insist_score); +}; + +const pacifist: Player = board => { + let pacifist_score = b => { + if (b.isCheckmate()) { + return 612; + } + if (b.isCheck()) { + return 413; + } + + let prev_value = value_of_pieces_of_color(board, HUMAN_COLOR); + let new_value = value_of_pieces_of_color(b, HUMAN_COLOR); + if (new_value < prev_value) { + return prev_value - new_value; + } + + return 0; + }; + + return min_move_by(board, pacifist_score); +}; + +const players = [ + { + f: random_move, + name: "random_move", + description: "Moves randomly, believe it or not.", + }, + { + f: same_color, + name: "same_color", + description: + "Makes the move that maximizes the number of pieces on their own color", + }, + { + f: opposite_color, + name: "opposite_color", + description: "Behavior left as an exercise to the reader", + }, + { + f: pacifist, + name: "pacifist", + description: + "Avoids checkmate, then avoids checks, then avoids captures, if forced, captures the lowest value piece it can", + }, + { + f: first_move, + name: "first_move", + description: + "Makes the lexicographically first move based on [source_row, source_col, dest_row, dest_col, promotion]", + }, + { + f: alphabetical, + name: "alphabetical", + description: + "Makes the first move asciilphabetically (based on algebraic notation)", + }, + { + f: huddle, + name: "huddle", + description: + "Makes the move that minimizes the total Chebyshev distances from their pieces to their king", + }, + { + f: swarm, + name: "swarm", + description: + "Makes the move that minimizes the total Chebyshev distances from their pieces to YOUR king", + }, + { + f: generous, + name: "generous", + description: + "Maximizes the number of YOUR moves that take their pieces, weighting by value", + }, + { + f: no_i_insist, + name: "no_i_insist", + description: + "Maximizes the proportion of potential capture value of YOUR moves to the number of YOUR moves; very weird the way i've done it", + }, + { + f: reverse_starting, + name: "reverse_starting", + description: + "Makes the move that minimizes the number of moves it takes to move their pieces to the opposite end", + }, + { + f: cccp, + name: "cccp", + description: + "First checkmates, then checks, then captures (the best piece it can), then pushes", + }, + { + f: suicide_king, + name: "suicide_king", + description: + "Makes the move that minimizes the Chebyshev distance between the two kings", + }, + { + f: sym_mirror_y, + name: "sym_mirror_y", + description: + "Tries to make the board as vertically symmetric as possible (basically copies your moves)", + }, + { + f: sym_mirror_x, + name: "sym_mirror_x", + description: + "Tries to make the board as horizontally symmetric as possible (basically doesn't copy your moves or do anything useful)", + }, + { + f: sym_180, + name: "sym_180", + description: + "Tries to make the board as symmetric as possible when flipped around", + }, + { + f: min_oppt_move, + name: "min_oppt_move", + description: "Does the move that leaves the least moves for YOU", + }, + { + f: equalizer, + name: "equalizer", + description: + "Moves the least moved piece (actually piece type, e.g. moving a pawn counts for all pawns; it sucks, i know), breaking ties by moving to the least visited square", + }, + // alphabetical is fine i guess, since the checklist order has little to do with the og paper + // ehhh nvm +]; //.sort((a, b) => a.name.localeCompare(b.name)); + +// https://stackoverflow.com/questions/12739171/javascript-epoch-time-in-days + +function days_since_epoch() { + var now = new Date().getMilliseconds(); + return Math.floor(now / 8.64e7); +} + +function find_specified_in_hash(): null | { + f: Player; + name: string; + description: string; +} { + return players.find(p => `#${p.name}` == window.location.hash); +} + +// bad +// const todays_player = players[days_since_epoch() % players.length]; +const todays_player = + find_specified_in_hash() ?? + players[Math.floor(Math.random() * players.length)]; + +console.log(`SPOILER: today's player is ${todays_player.name}`); +// const todays_player = min_oppt_move; + +const board: any = document.getElementById("board"); + +const game = new Chess(); + +function computer_move() { + num_moves++; + return todays_player.f(game); +} + +// might want to change this when it's more wordly +function show_game_over() { + let game_over = document.getElementById("game-over"); + game_over.style.display = "block"; + game_over.innerText = `GAME OVER; player was ${todays_player.name}`; + + console.log("GAME OVER"); +} + +function show_win() { + let game_over = document.getElementById("game-over"); + game_over.style.display = "block"; + game_over.innerText = "YOU WIN YOU WIN YOU WIN YOU WIN HOLY CRAP"; + + let stats = document.getElementById("stats"); + stats.style.display = "block"; + let stats_text = `#EloWorldle413\nGuesses: ${num_guesses}\nMoves: ${num_moves}`; + stats.innerText = stats_text; + + let copy_stats = document.getElementById("copy-stats"); + copy_stats.style.display = "block"; + copy_stats.addEventListener("click", _ => + navigator.clipboard.writeText(stats_text) + ); + + console.log("PLAYER IS WIN"); +} + +var num_guesses = 0; +var num_moves = 0; + +function append_players_to(n: Node) { + for (const player of players) { + let child = document.createElement("div"); + child.classList.add("player"); + + let child_name = document.createElement("h1"); + child_name.classList.add("player-name"); + child_name.innerText = player.name; + + let child_desc = document.createElement("p"); + child_desc.classList.add("player-desc"); + child_desc.innerText = player.description; + + let guess_button = document.createElement("button"); + guess_button.innerText = "^ guess ^"; + + guess_button.onclick = _ => { + num_guesses++; + if (todays_player.name == player.name) { + show_win(); + child.classList.add("correct"); + } else { + child.classList.add("wrong"); + } + guess_button.onclick = () => {}; + }; + + child.appendChild(child_name); + child.appendChild(child_desc); + child.appendChild(guess_button); + child_name.addEventListener("click", _ => + child.classList.toggle("strikethrough") + ); + n.appendChild(child); + } +} + +window.addEventListener("DOMContentLoaded", () => { + board.addEventListener("movestart", (e: any) => { + console.log( + `Move started: ${e.detail.from}, ${e.detail.piece.color} ${e.detail.piece.pieceType}` + ); + e.detail.setTargets( + // This produces a list like ["e3", "e5"] + game.moves({ square: e.detail.from, verbose: true }).map(m => m.to) + ); + + if (game.isGameOver()) { + show_game_over(); + } + }); + + board.addEventListener("moveend", (e: any) => { + console.log( + `Move ending: ${e.detail.from} -> ${e.detail.to}, ${e.detail.piece.color} ${e.detail.piece.pieceType}` + ); + const move = game.move({ + from: e.detail.from, + to: e.detail.to, + promotion: "q", + }); + if (move === null) { + e.preventDefault(); + } + + if (game.isGameOver()) { + show_game_over(); + } + }); + + board.addEventListener("movefinished", (e: any) => { + board.fen = game.fen(); + board.turn = game.turn() === "w" ? "white" : "black"; + board.interactive = game.turn() === "w"; + + if (!board.interactive) { + let move = computer_move(); + if (!move) { + console.log( + "Didn't get a move from the computer (this is fine if the game is over)" + ); + return; + } + console.log(`Computer move: ${move}`); + game.move(move); + board.fen = game.fen(); + board.turn = "white"; + board.interactive = true; + } + }); + + document + .getElementById("finish") + .addEventListener("click", _ => show_game_over()); + + append_players_to(document.getElementById("players")); +}); diff --git a/paper-ideas.txt b/paper-ideas.txt new file mode 100644 index 0000000..8dbc685 --- /dev/null +++ b/paper-ideas.txt @@ -0,0 +1,16 @@ +* a survery of 10 american high school students (R=0, i don't make mistakes) +* an in-depth analysis of the viewcount of https://www.youtube.com/watch?v=DpXy041BIlA shows that it is less than half the number of students in 'merica + * "ask eliza" which is more: 734k or the num. of highschool students in 'mmmmerica + * sadly, research has shown that we do, in fact, live in a society (see: outside, probably) + * this is worrying as knowledge of bad chess algorithms is projected to be the new literacy by 2013 (citation: Orin Kerr is the Fred C. Stevenson Research Professor at the George Washington University Law School. + 1 See generally Orin S. Kerr, A Theory of Law, 16 G REEN B AG 2 D 111 (2012).) +* teenager-friendly language as an excuse for implementation limitations (toootally is like, really great (anti-pun y'see?)) +* honor system (again, as an excuse for lazy impl) (joke that high schoolers are the most honorable age) +* the reconstruction of many of the algorithms is severely flawed, unfortunately looking at the original code just [isn't possible](svn link) (footnote to svn link). maybe one day all_with_link_and_footnote_to_svn_maybe_specific_files(the code will be released) +* 'merica 'mmerica 'mmmerica 'mmmmerica +* "hashes tag" to maximize rad power and engagementness + +* !!! make sure to give due credit to tom7, so, so much is taken + * good artists copy, great artists steal, other people also steal :T +* make sure licensing is good (gpl should be fine? look at source license) + * very scary ugh diff --git a/paper/paper.aux b/paper/paper.aux new file mode 100644 index 0000000..c806e61 --- /dev/null +++ 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In the center of the mountain, I infer that there is something. In the spirit of, I go to check my inferences. The mountain grows farther. I turn again. The mountain grows closer. I infer that a smile grows across my face. There is a tree. I infer that there is a tree. I am wrong. +\end{abstract} + +\begin{abstract} +Numerous studies\footnote{TODO: academic integrity, citations, not-lies, etc are valuable\footnotemark}\footnotetext{\url{https://www.marxists.org/archive/marx/works/1867-c1/appendix.htm}} +have shown that it is impossible to learn without video games. +Many of the children know little about bad chess engines. +There is no videogame. +The author seeks to rectify this. +\end{abstract} + +\section*{Motivation} + +Before the advance of the action-packed, educational digigame Wordle\footnote{\url{https://www.nytimes.com/games/wordle/index.html}}, the vast majority of 'Merican highschool students were unaware that words even were. +Similarly, Worldle\footnote{\url{https://worldle.teuteuf.fr/}} ushered in a new age of international politics, as now the world's elite ('Mmerican highschool students) were aware of nations. +Most famously, LFMan helped the kids to learn.\footnote{\url{http://spacebar.org/lfman/}} +Time and time again, video game makes the kids know. + +Most people believe vocabulary, geography, and dependent lambda calculus are the only things that the children need to know, but this is not the case; knowledge of bad chess algorithms is projected to be the new literacy by 2011.\footnote{See generally Orin S. Kerr, A Theory of Law, 16 G REEN B AG 2 D 111 (2012).} + +To assess the current literacy rates in the 'Nited 'Tates, we\footnote{I} performed a survey of ten random 'Mmmerican highschool students\footnote{$R=0$, I don't make mistakes.} and found them all to be illiterate. +In addition, we\footnote{I} did an in-depth analysis of the view count of \url{https://www.youtube.com/watch?v=DpXy041BIlA} and found it to be less than half the population of the 'Ited 'Ates! +We asked a sentient chatbot\footnote{\url{https://pyrope.net/2023.pdf}} for its analysis on the matter: +\begin{verbatim} +* Given that Youtube Video has less views than half the population +of the 'Ted 'Tes, is it possible that every 'Mmmmerican high school +student has watched it? +> It is nice to be chatting with you. +\end{verbatim} +It is clear that a Video Game is needed. +However, terrifyingly, in my extensive research,\footnote{} I was unable to find a single game that taught the children how to recognize what bad chess engine they are playing against? Whaaaat!? + +\section*{Implementation} +After a few hours of frustration, implementation went relatively smoothly. +Each engine was implemented as a Typescript\footnote{\url{https://isocpp.org}} function, using the laziest possible interpretations of the descriptions in \url{http://tom7.org/chess/weak.pdf}.\footnote{For example, `equalizer' is complete garbage because it is based on piece \emph{type} instead of the actual piece, which makes it completely boring and extremely difficult to identify.} +An ideal implementation would simply port the original, but \href{https://sourceforge.net/p/tom7misc/svn/HEAD/tree/trunk/chess/}{there is no way to do that}.\footnote{\url{https://sourceforge.net/p/tom7misc/svn/HEAD/tree/trunk/chess}} +\href{https://sourceforge.net/p/tom7misc/svn/HEAD/tree/trunk/chess/player.cc}{It's impossible}.\footnote{\url{https://sourceforge.net/p/tom7misc/svn/HEAD/tree/trunk/chess/player.cc}} +The Javascript ecosystem, notorious for it's lack of libraries, did have a chess library\footnote{\url{https://www.npmjs.com/package/chess.js}} and a chessboard library\footnote{\url{https://www.npmjs.com/package/gchessboard}} both of which the author (ab)used greatly. + +\section*{Color Pickings} +As is standard practice\footnote{\url{https://en.wikipedia.org/wiki/Standards_\%26_Practices_(album)}}, what colors were picked and from where are listed below: +\begin{itemize} + \item \#86A666 ``Dark Square Color'': \url{http://tom7.org/chess/} + \item \#FFFFDD ``Light Square Color'': \url{http://tom7.org/chess/} + \item \#3A3A3C ``FAIL Color: Rad Variation'': \url{https://www.nytimes.com/games/wordle/index.html} + \item \#538D4E ``WIN Color: Rad Variation'': \url{https://www.nytimes.com/games/wordle/index.html} +\end{itemize} + +\section*{Conclusion} +Having made a game that will the children the learn, my life is complete. +I can now choose to roam the earth as an empty husk, searching eternally and pointlessly for some new purpose, or I can become a robot ghost. + +Oh, you want to actually play the game? 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