diff --git a/ecc/bn254/fr/poseidon/constants.go b/ecc/bn254/fr/poseidon/constants.go new file mode 100644 index 000000000..8b7fbc6fa --- /dev/null +++ b/ecc/bn254/fr/poseidon/constants.go @@ -0,0 +1,14047 @@ +package poseidon + +import ( + "math/big" + + "github.com/consensys/gnark-crypto/ecc/bn254/fr" +) + +// Constants are generated by https://extgit.iaik.tugraz.at/krypto/hadeshash/-/tree/master/code +var cStr = [][]string{ + { + "9c46e9ec68e9bd4fe1faaba294cba38a71aa177534cdd1b6c7dc0dbd0abd7a7", + "c0356530896eec42a97ed937f3135cfc5142b3ae405b8343c1d83ffa604cb81", + "250f5116a417d76aaa422952fcc5b33329f7714fc26d56c0432507fc740a87c4", + "264065ad87572e016659626c33c8213f7a373b9b8225a384f458d850bb4a949f", + "2bb8e94ad8d8adca6ce909ff94b8750729b294e4400376da39e33fda24bd42af", + "19051065d05d861ec813c15291d46a328f6201b21ad5d239d4f85fbb09a5dbae", + "245bd0617aa449618f5bd4550aac7b8e08d4d1c017165943cdf4776cdff3434a", + "9fb1a1118074ff79d8acbf5b02131e048a1570155e0f2b1c36ad091d491a88f", + "234ab504bbae8198972741952f78b7eb018ea192f05e54c1484ab8973ff66d88", + "1f66e509b84c355ae3d4c3513a282fd48f9c8c6439f42a7835fbcfe0f2a324c", + "1b22f5d69d725e6002cf00dd9ee62d1a5af0efdc4910f54127a920ccc43f91fa", + "252b55edead135f852968b7f1c4f490fa659ecd5b47a78a7db91f65a6dfc23f", + "1773ae2e1637c92ad0677c2a047fea8eca4b53303f21871f6892a2c0487d7ff1", + "2d57b02906cd0ab82a79e76faeef6f87666eac093cf7715645d5ec9f7ac732f5", + "a16f3a62824b281e8b2ddb8fc391a498fb061317faffa03696f834596313d93", + "1666f525f7f4b6988d2a37834ab747eae0587757b788eb7f1e26b08e36a08591", + "5da44f8e0a3b8bb13231f0ca25b50b57f5c82128e1dfec3e541d912ebe17b76", + "9a39ba9993303ba191bac8bdb3e0144dbfb5f39624cdd9524dc7861633bc95a", + "6c0fb824a19202d30ee6b418c0029e100e85a6d158f9f2a828dfd2ed0920a68", + "387d8e056b2b176a9776b4492cb3b418adc660627e52bb3324283bf9522395d", + "147a1af82036ef5b28a7a37bea40d6ac3013cf1b62358396bf7156f5c2dc9684", + "3038d92060daeaaf1bd0482bd3f0613d88e8dff90a7a0525f9227e4cb7c6f81b", + "72940aa1d538a5a39a323f9e5d65616cf6c223339006f9789a97245532908f5", + "2d3d604949f4e14c70b8a879aedec49b3a367ba216af048f464ed6f15e2b9023", + "225b9e4f35c7549f80774c2b4d18309b2dcf7c7287b982e49746a176641e73c5", + "1ea781288fdf13b2190095a2344828e37dfe81c75a09709f0d139bbbf6c70414", + "8e96c3e7e8de4432b202405458468b90dc6890d4cee128b3502e5b6cb4aeeeb", + "5b43da7c8aa29af6dcaae57d070b49d29ce889a64a4ac183e85d55b366c805f", + "bec98a034e3b8af7ba4861f1ad5a48dcef7c996e7a51c7cdde724d8f610e52", + "2eb67ccfa29e2b422b9f84a5d0575fc435b30fcae303039480be384ee4ebe72a", + "102bbdc21a3f147bf04eedee5d70bd084a7105c631c86ecd2c4e8749a13915ca", + "274bc16c88721babfd5bbe8d8562c1bf127ae38915280fbb8e3115cad3582f79", + "185cece417549b25283de04511f769101c8850b409d4928ab831611351bd9938", + "13c73fb043f7e978bc9cfb55c7faacb4f4c823674abe17737059ac0a32c36007", + "24b3a1d83308742b360c9c60595673e201cdd4cef5a4145c933c4e5969481d70", + "18b5ae94df9ec97aaa2a8f0f42425bcccdc8266a070f866ef0f48d7a3744398b", + "20eb398cb958cc2ccc7cb1fac38501abbe38169b2d8522d9e5f099f2d5905cb4", + "1e588dd3ec8b0d252c2c7c0c78a02b22bbbad1f4dcaa2e78a8b8eef2f4e29344", + "f8bf3bd6c22ba3b1bf3ab2e3fb40818cd4217ffbaf294ca42331d4e3043a0a6", + "388c9fcf30fc2841d648f46bad01dd10bee9dc184d25eabc9f617021109cec3", + "2bb7f397c5941ac67befa8b232f15c8853dac263da793555441a90cec83b6454", + "17f389b52f9ea7a98874a4a31ef6a7beb43fb17db0e499250bb3f0181c59fb21", + "3a2090eacb897a31fb10561d560a9aeec24b7ad14d17b145f20c875a0b28c7c", + "c398534f0eb580f1fe4bf64553389e67cca4714399430e09619dcbee17ba099", + "7095ac9fda46afa7f181259e3635feffa7f11ee63f3ee777a5cebf4822328c4", + "2046f7cf1c8f13ef2b69cbc8bc0d5d809f82568abe2b33d1cd060958b1ced683", + "2c274136a5de2849de6e7f92f9097296501acb68d56138fbcb660c4cb0f69107", + "1c4d5178acb5c6b6eceef23afc6f16ec7b0383094cb6467e8d0f4507b3cf74c3", + "65b1447d0d64ceced116785b92c63a6a7dd9701507dcbe8b909325e28f7b8d3", + "2265d7e244881220c81a193d979330409c9bfa333438951340e023e7b72a1961", + "15b12b355af7e05637a1c76e67f9cec6fca8a6449b37669f6850502256b30aba", + "1a1522fecc6ae028e4d3e3029497b88f35c2b48c687af168ec2582d9075b4387", + "22f56e79e81b7496e472a641a053c414bcc53b0a9350e2589240803076f58f26", + "202ddb66d0988994e7aabad692ceac4e2324672a17ab8417d1ee278afd17fd0c", + "12b0701e8813c5b21a8e30208f8f1158b96cd428ae77bdea72f84510f73edfce", + "1e63fd20e706e1407c8838ceb26b84c9fe693fdde0eb1e1a9df7e84e53eeee7e", + "20a16c5a86256deffd15af174c39f9d9aa11500676ac7e570088280dd1896259", + "1c8f8bf8e153da55ad5aca2eaaee38da563e0435c0f2f37c27558fb9bae0a3eb", + "d7732687bb7bf5f3aabcfdcc4fbb67e159c1983213e416c3880124fddf187c9", + "cdd04475a86999a2edcbbbf8264b195e108b3b60b6475d835f6ccef9e2f6865", + "2fe65586cd4e754b4c63a88c2ed3f9ba0e3bfa43f547b41153560c214fe3cbcd", + "503cf963c8273604e659128ec29261f62399815d98c56dbf4f2837c727ad4d9", + "1ee48ea27839061b78379936f6d97ca9400b393ef5fdf38ef1475c8742cb334c", + "1a423f8d8fc892b22d7cd5bf0197c575c579e83563d04859d73b2c1c5c0413f9", + "69a0da50133e9952f00e61778972a7be0e8d8ab76c95616ae465636abb97ec7", + "1bf7879dd42f2cbb91c65a0976356f67964c2f94dfbf0e44cf2b9909165d8614", + "1b23dccf485822065c8fc0afe610be7164e25056267f6c4a805fffd4547a0b98", + "2ebe90d6f6fdca420e0c2e004ce5c5a4409e564c9c4f3671e3011f627bec7c2e", + "167cd6930535a816dfebe81d20c376e77687760f3a2fa0da290b2f4d6c6863f7", + "8865c10f4a633c54ccc8b68b79df285f19f1210374cc64e3c8a966d4f90264b", + "1de902fbc0bf01951ca25abb39d78894721b37e071851b03a72cc6b833b7893b", + "e3eca007699dd0f852eb22da642e495f67c988dd5bf0137676b16a31eab4667", + }, + { + "ee9a592ba9a9518d05986d656f40c2114c4993c11bb29938d21d47304cd8e6e", + "f1445235f2148c5986587169fc1bcd887b08d4d00868df5696fff40956e864", + "8dff3487e8ac99e1f29a058d0fa80b930c728730b7ab36ce879f3890ecf73f5", + "84d520e4e5bb469e1f9075cb7c490efa59565eedae2d00ca8ef88ceea2b0197", + "2d15d982d99577fa33da56722416fd734b3e667a2f9f15d8eb3e767ae0fd811e", + "ed2538844aba161cf1578a43cf0364e91601f6536a5996d0efbe65632c41b6d", + "2600c27d879fbca186e739e6363c71cf804c877d829b735dcc3e3af02955e60a", + "28f8bd44a583cbaa475bd15396430e7ccb99a5517440dfd970058558282bf2c5", + "9cd7d4c380dc5488781aad012e7eaef1ed314d7f697a5572d030c55df153221", + "11bb6ee1291aabb206120ecaace460d24b6713febe82234951e2bee7d0f855f5", + "2d74e8fa0637d9853310f3c0e3fae1d06f171580f5b8fd05349cadeecfceb230", + "2735e4ec9d39bdffac9bef31bacba338b1a09559a511a18be4b4d316ed889033", + "f03c1e9e0895db1a5da6312faa78e971106c33f826e08dcf617e24213132dfd", + "17094cd297bf827caf92920205b719c18741090b8f777811848a7e9ead6778c4", + "db8f419c21f92461fc2b3219465798348df90d4178042c81ba7d4b4d559e2b8", + "243443613f64ffa417427ed5933fcfbc66809db60b9ca1724a22709ceceeece2", + "22af49fbfd5d7e9fcd256c25c07d3dd8ecbbae6deecd03aa04bb191fada75411", + "14fbd37fa8ad6e4e0c78a20d93c7230c4677f797b4327323f7f7c097c19420e0", + "15a9298bbb882534d4b2c9fbc6e4ef4189420c4eb3f3e1ea22faa7e18b5ae625", + "2f7de75f23ddaaa5221323ebceb2f2ac83eef92e854e75434c2f1d90562232bc", + "36a4432a868283b78a315e84c4ae5aeca216f2ff9e9b2e623584f7479cd5c27", + "2180d7786a8cf810e277218ab14a11e5e39f3c962f11e860ae1c5682c797de5c", + "a268ef870736eebd0cb55be640d73ee3778990484cc03ce53572377eefff8e4", + "1eefefe11c0be4664f2999031f15994829e982e8c90e09069df9bae16809a5b2", + "27e87f033bd1e0a89ca596e8cb77fe3a4b8fb93d9a1129946571a3c3cf244c52", + "1498a3e6599fe243321f57d6c5435889979c4f9d2a3e184d21451809178ee39", + "27c0a41f4cb9fe67e9dd4d7ce33707f74d5d6bcc235bef108dea1bbebde507aa", + "1f75230908b141b46637238b120fc770f4f4ae825d5004c16a7c91fe1dae280f", + "25f99a9198e923167bba831b15fffd2d7b97b3a089808d4eb1f0a085bee21656", + "101bc318e9ea5920d0f6acdc2bb526593d3d56ec8ed14c67622974228ba900c6", + "1a175607067d517397c1334ecb019754ebc0c852a3cf091ec1ccc43207a83c76", + "f02f0e6d25f9ea3deb245f3e8c381ee6b2eb380ba4af5c1c4d89770155df37b", + "151d757acc8237af08d8a6677203ec9692565de456ae789ff358b3163b393bc9", + "256cd9577cea143049e0a1fe0068dd20084980ee5b757890a79d13a3a624fad4", + "513abaff6195ea48833b13da50e0884476682c3fbdd195497b8ae86e1937c61", + "1d9570dc70a205f36f610251ee6e2e8039246e84e4ac448386d19dbac4e4a655", + "18f1a5194755b8c5d5d7f1bf8aaa6f56effb012dd784cf5e044eec50b29fc9d4", + "266b53b615ef73ac866512c091e4a4f2fa4bb0af966ef420d88163238eebbca8", + "2d63234c9207438aa42b8de27644c02268304dfeb8c89a1a3f4fd6e8344ae0f7", + "2ab30fbe51ee49bc7b3adde219a6f0b5fbb976205ef8df7e0021daee6f55c693", + "1aee6d4b3ebe9366dcb9cce48969d4df1dc42abcd528b270068d9207fa6a45c9", + "1891aeab71e34b895a79452e5864ae1d11f57646c60bb34aa211d123f6095219", + "24492b5f95c0b0876437e94b4101c69118e16b2657771bd3a7caab01c818aa4b", + "1752161b3350f7e1b3b2c8663a0d642964628213d66c10ab2fddf71bcfde68f", + "ab676935722e2f67cfb84938e614c6c2f445b8d148de54368cfb8f90a00f3a7", + "b0f72472b9a2f5f45bc730117ed9ae5683fc2e6e227e3d4fe0da1f7aa348189", + "16aa6f9273acd5631c201d1a52fc4f8acaf2b2152c3ae6df13a78a513edcd369", + "2f60b987e63614eb13c324c1d8716eb0bf62d9b155d23281a45c08d52435cd60", + "18d24ae01dde92fd7606bb7884554e9df1cb89b042f508fd9db76b7cc1b21212", + "4fc3bf76fe31e2f8d776373130df79d18c3185fdf1593960715d4724cffa586", + "d18f6b53fc69546cfdd670b41732bdf6dee9e06b21260c6b5d26270468dbf82", + "ba4231a918f13acec11fbafa17c5223f1f70b4cdb045036fa5d7045bd10e24", + "7b458b2e00cd7c6100985301663e7ec33c826da0635ff1ebedd0dd86120b4c8", + "1c35c2d96db90f4f6058e76f15a0c8286bba24e2ed40b16cec39e9fd7baa5799", + "1d12bea3d8c32a5d766568f03dd1ecdb0a4f589abbef96945e0dde688e292050", + "d953e20022003270525f9a73526e9889c995bb62fdea94313db405a61300286", + "29f053ec388795d786a40bec4c875047f06ff0b610b4040a760e33506d2671e1", + "4188e33735f46b14a4952a98463bc12e264d5f446e0c3f64b9679caaae44fc2", + "149ec28846d4f438a84f1d0529431bb9e996a408b7e97eb3bf1735cdbe96f68f", + "de20fae0af5188bca24b5f63630bad47aeafd98e651922d148cce1c5fdddee8", + "12d650e8f790b1253ea94350e722ad2f7d836c234b8660edf449fba6984c6709", + "22ab53aa39f34ad30ea96717ba7446aafdadbc1a8abe28d78340dfc4babb8f6c", + "26503e8d4849bdf5450dabea7907bc3de0de109871dd776904a129db9149166c", + "1d5e7a0e2965dffa00f5454f5003c5c8ec34b23d897e7fc4c8064035b0d33850", + "ee3d8daa098bee012d96b7ec48448c6bc9a6aefa544615b9cb3c7bbd07104cb", + "1bf282082a04979955d30754cd4d9056fa9ef7a7175703d91dc232b5f98ead00", + "7ae1344abfc6c2ce3e951bc316bee49971645f16b693733a0272173ee9ad461", + "217e3a247827c376ec21b131d511d7dbdc98a36b7a47d97a5c8e89762ee80488", + "215ffe584b0eb067a003d438e2fbe28babe1e50efc2894117509b616addc30ee", + "1e770fc8ecbfdc8692dcedc597c4ca0fbec19b84e33da57412a92d1d3ce3ec20", + "2f6243cda919bf4c9f1e3a8a6d66a05742914fc19338b3c0e50e828f69ff6d1f", + "246efddc3117ecd39595d0046f44ab303a195d0e9cc89345d3c03ff87a11b693", + "53e8d9b3ea5b8ed4fe006f139cbc4e0168b1c89a918dfbe602bc62cec6adf1", + "1b894a2f45cb96647d910f6a710d38b7eb4f261beefff135aec04c1abe59427b", + "aeb1554e266693d8212652479107d5fdc077abf88651f5a42553d54ec242cc0", + "16a735f6f7209d24e6888680d1781c7f04ba7d71bd4b7d0e11faf9da8d9ca28e", + "487b8b7fab5fc8fd7c13b4df0543cd260e4bcbb615b19374ff549dcf073d41b", + "1e75b9d2c2006307124bea26b0772493cfb5d512068c3ad677fdf51c92388793", + "5120e3d0e28003c253b46d5ff77d272ae46fa1e239d1c6c961dcb02da3b388f", + "da5feb534576492b822e8763240119ac0900a053b171823f890f5fd55d78372", + "2e211b39a023031a22acc1a1f5f3bb6d8c2666a6379d9d2c40cc8f78b7bd9abe", + }, + { + "19b849f69450b06848da1d39bd5e4a4302bb86744edc26238b0878e269ed23e5", + "265ddfe127dd51bd7239347b758f0a1320eb2cc7450acc1dad47f80c8dcf34d6", + "199750ec472f1809e0f66a545e1e51624108ac845015c2aa3dfc36bab497d8aa", + "157ff3fe65ac7208110f06a5f74302b14d743ea25067f0ffd032f787c7f1cdf8", + "1b0f68f0726a0514a4d05b377b58aabc45945842e70183784a4ab5a32337b8f8", + "1228d2565787140430569d69342d374d85509dea4245db479fdef1a425e27526", + "17a8784ecdcdd6e550875c36a89610f7b8c1d245d52f53ff96eeb91283585e0b", + "9870a8b450722a2b2d5ee7ae865aaf0aa00adcfc31520a32e0ceaa250aaebaf", + "1e1d6aaa902574e3e4055c6b6f03a49b2bbdb7847f940ebc78c0a6d3f9372a64", + 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"152517da46773ba3a5708a14db3239e59b4cdaf84ca55ba6b7c61e9bffb6feec", + "1811c08f29173c3ffd29aaeb2d9123a5e2b5bc32e5d74a23f0dc026199f9c8db", + "2beb86f7fc3941962809bd8c7209613eb2f403a1db90acacbd487034b4e734e0", + "22d40f04d25617323bf6481a7116f5c77922d4a98d867730e9717a181c24ebdb", + "7984c5792dff5a244e45e8d9ca13d787cf5725f45513595bbff1405f8a12f62", + "54f16dcf84267fdbd028fc4e88d51fa7624405920d6f85771606130c735454c", + "1e14b42a14dc7272d18f47c28dd8050fb3993b0c0571a12f3b3e4a4c49ef788d", + "125ddc89a4aeecea6d3620f026c2a9372fa856b53d8ad5d8ad495a5eec7ba24d", + "149d09583cb39f4124a7145923205b3bfb7121c62a39d6238cfb380c782475b2", + "ecae7698bbf994d656a1d3b3df5668350112f80a5787730c8d32436aae6ee32", + "d48fbb1cd222f052942818e73b12562f7490892f474402274151763ea668369", + "21ff6e0e9dc2c5eeb19793fb2b3e64cc11233b81df41803b6524ae510cf0a29e", + "dee76eef76340680e4f3d4a0c51b87a162db5254e981a7684756e55d8b513a2", + "d064dee824928d39f2a8be7d2fa583223c33995784d228839adde2559592592", + "1c72c610ee727a6dd1e885a0607d35cca9127f006e26ce1f986bad89bc3bf3b1", + "1d8bff20f53a1b7fbd3ed4f015ca18fa484cc6fe4fda3821016d43a62db85681", + "1c13c5149e5fabedd52729f4e4502a7d0d5058c532728db8377aa92f1c3e70e8", + "a2044c5c41c0e874f005528327e695ada2337dc81c9257b6663ad1e37416a31", + "27a159845c8347dce715b4de7d305d529b7c9bea09d3fb1615b69d5d0e2e9991", + "28a37316b111822f43ce287c632cdcde70bd0a094fbb0ded49467acf199cd86", + "69b007be4fffd6c1611b22a1f73aba8d334eb39e36488f6dcaf8f61b07cc842", + "159cfe01b040d2ed27293355e3ddc2727906018eab4f0be23a0fbf924d74bd12", + "b538e8f3455ff2d7f95203ec7c7d12262d7d25b224a92500923726f20f4dffc", + "1f188392740ecb474a4a589a3b83deecab0c1c583c390ae1e3654bc90d0705dd", + "85e8ab77fc680dbfddd3a41d1f749a5b25f207a10fbb591b2b2b70705d88911", + "18038e5ab85927a21df17e8a5db6e3e62242f7bdf6e662a2f973a794d132ecb7", + "25975674afcc9637d27a23b97bbd8b82874bee41e7b84057be13951531fa9fc2", + "2ff9d4e295691f9979acf589c59991f2f8917c6358b76e61a1b53e1184dd3611", + 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"1f11157aed6e03678558e187e731f4e6c70b98fc36b5337562c565680e64bc04", + "a38ce884c10d28d82a3b6316f30c7fc833f4e1204c984b7c20098a13a0d5a2", + "1db78e384fc722f1290a337231d3c8986448b867adde280ef5eb72c45fbbde08", + "1e815a5b2ff405454bffb88b3d8ae428682375fdd858d9fc2fee3f76cd3a6d4c", + "370b02885c192b687c2cbb330888c9f4b3f26a6c054f70b092acf96d93f7c90", + "8203f9ff8db7576e14876f45be708f58f48e5f951be08bbdb4e9cfb23c244b9", + "29dc1ae19a1f06c6d67ad121f185ece6d0751d0ac335a9b7c879bab33dfb0e84", + "d3c1af0faea85e54e7da575cff80e5c027cf3876da141377410a28026ad4619", + "29609aac1d88be4d5aff5dc808e01361309a1a6c8c0defde126fb554c79944e2", + "2da5231bb84b05c467f6fe2b9b3e3bda77854f6de32ceb380fe0309c3c8c5d50", + "24658abc45d1109f9cb4ef1cfcea11de3ab442f13e710d10c0bb6bebe5b012ee", + "1f38ead2636865f16a72e393dddc1622ffc5417e5194d6c15ad8bfbd0073946d", + "de6a95902d88df02192471691daa4ac55617b73f448a4611f3d89172831542a", + "1cb8cad4994c3af3a2ae4584827640cd9dd5012fe4b55136bdf53357b4c168bf", + "c4b166f5e4c3ebd2ce9c84e88b3d42cfaee7aad923d9807b04a2bde61151b1b", + "a125c564bd818b114e3af44a87e694061155e19cbc84c50e0d29656de2a03d9", + "18cd16fb943e369664b89db857f6787b1d82a17b3940f15add4047f8bdf4dee1", + "22100b866fb7d36e656990a2c832bd09d7d0036ffc7d2693b22fcf5c26b05735", + "2228191716f3aed9191659eeda5fe346b80af580b666159ff25456172562c5e5", + "2dca6c96c30284bb8f7cf3467103d39f922aeddb431bfa3b62a7bc1f61fd9baf", + "a242a4882954de8d3d1e8cf0984236cd4665abdbb4d980c625c1d470349380f", + "d064dee824928d39f2a8be7d2fa583223c33995784d228839adde2559592592", + "116c85a250d461dd5bf2249536e50de23ab8e0287f5cbc62363c54c690c6d716", + "750eaaf76a03769c97c684d448ac7ae2ad93950a75c24f3482340bd29f566fc", + "de057ca401a6fa8a17d35a643f71515678944f33d6253778d116b55b7599cfb", + "c944093f1183d2fd822cf70dc124a07ac9397f3a941a50d0c35da8df5e35180", + "19376e5bb4d2266f833d7fae60c8c5f2f484b203f008003038515c66e2677233", + "169bcc309d7b6f8c73594d7563262ecd332ed38cb317d2c43f6f8dd704d32178", + "304811527f616bc8ef59c55565337f63a42094023b3abf89ae99193034cbc9c9", + "24bfb86617225eddd82f86320315dc68e8a7fad755ec408012968449dbe1ceb3", + "242f4b3a3535d5307261e9a75c570e6c06174ccdf398c934958ca129e7bde3a2", + "2b2f283271455095d3c2012a1f4fda54ba8f365cdbe014328e0753d94824f643", + "35a852e7bf5cf60b00f15be184e707d345fa227d8e44e1f4c37050d79a53a1d", + "150f777da222071015c6c4e025f67bc356fdfd678d9840dd2c93ba1a43f98ef6", + "2d8c70035731ad9efba92821a88119f6b8183a362be641729a93d6a327c03809", + "7b620c8a78e09e49ce547aa783aa78f3e4594c49ab3dd6f602bc6c0351d823f", + "231996b592528575567d39d00645a83b13929093bbfa00d6a661e4a690351d0f", + "4e47a72e49b9c5aa3f69f6af22fa0ab640c93fc524dd3c508486d66f079852a", + "a8cb4b2bf3f0c5da671e48f83e5c1b3018f0d31200a6f19fd5195db22eef7f4", + "18bbb002b46f2e5fec2b120faf87822ca8e77ace94e03aab5c16c4b931739dc8", + "2bfae1b054ef2e924d75a8a01283da29103c57bad129ec8396ce274ba4524df", + "6d101b19477d1627b9542581bf0cdfab38b05cdefdcb81965c5be00d780f192", + "18af61f6184ff85f104c2bef179b3ec5a5d242dfbebe8e27a2918f620e8a5be8", + "11e3a7c2d5f74371beb188c6e3d7a14b33128af8ee3287546d12d7777cef70cb", + "2de5d6a7a27343dd0422ac71b8d409b43ccb0b672e978f8fdfd214f4d7866404", + "227cb43b9818924f2a2588964a0ad7ddfa3df62284b4b3b10199a501ed970622", + }, +} + +// Number of full rounds +const rf = 8 + +var alpha = big.NewInt(5) + +// Number of partial rounds rounded up to nearest integer that divides by t in [2, 13] +var rp = []int{56, 57, 56, 60, 60, 63, 64, 63, 60, 66, 60, 65} + +// Round constants and matrices +var ( + c, s [][]*fr.Element + m, p [][][]*fr.Element +) + +func toElement(value string) *fr.Element { + n, success := new(big.Int).SetString(value, 16) + if !success { + panic("Error parsing hex number") + } + e := fr.Element{0, 0, 0, 0} + e.SetBigInt(n) + return &e +} + +func init() { + var size = len(rp) + c = make([][]*fr.Element, size) + s = make([][]*fr.Element, size) + m = make([][][]*fr.Element, size) + p = make([][][]*fr.Element, size) + + for i := 0; i < size; i++ { + // initialize round constants and matrices + c[i] = make([]*fr.Element, len(cStr[i])) + s[i] = make([]*fr.Element, len(sStr[i])) + m[i] = make([][]*fr.Element, len(mStr[i])) + p[i] = make([][]*fr.Element, len(pStr[i])) + + for j := 0; j < len(c[i]); j++ { + c[i][j] = toElement(cStr[i][j]) + } + for j := 0; j < len(s[i]); j++ { + s[i][j] = toElement(sStr[i][j]) + } + for j := 0; j < len(m[i]); j++ { + m[i][j] = make([]*fr.Element, len(mStr[i][j])) + for k := 0; k < len(m[i][j]); k++ { + m[i][j][k] = toElement(mStr[i][j][k]) + } + } + for j := 0; j < len(p[i]); j++ { + p[i][j] = make([]*fr.Element, len(pStr[i][j])) + for k := 0; k < len(p[i][j]); k++ { + p[i][j][k] = toElement(pStr[i][j][k]) + } + } + } +} diff --git a/ecc/bn254/fr/poseidon/poseidon.go b/ecc/bn254/fr/poseidon/poseidon.go new file mode 100644 index 000000000..77151af9c --- /dev/null +++ b/ecc/bn254/fr/poseidon/poseidon.go @@ -0,0 +1,207 @@ +package poseidon + +import ( + "errors" + "hash" + "math/big" + + "github.com/consensys/gnark-crypto/ecc/bn254/fr" +) + +const ( + BlockSize = fr.Bytes // BlockSize size that poseidon consumes +) + +func zeroElement() *fr.Element { + return &fr.Element{0, 0, 0, 0} +} + +func deepCopy(dst, src []*fr.Element) { + if len(src) > len(dst) { + panic("Cannot copy to a smaller destination") + } + for i := 0; i < len(src); i++ { + v := *src[i] + dst[i] = &v + } +} + +// Add round constants +func arc(state []*fr.Element, C []*fr.Element, t, offset int) { + for i := 0; i < t; i++ { + state[i].Add(state[i], C[offset+i]) + } +} + +// power 5 as s-box for full state +func sbox(state []*fr.Element, t int) { + for i := 0; i < t; i++ { + state[i].Exp(*state[i], alpha) + } +} + +// Matrix vector multiplication +func mix(state []*fr.Element, M [][]*fr.Element, t int) []*fr.Element { + newState := make([]*fr.Element, t) + + for i := 0; i < t; i++ { + newState[i] = zeroElement() + for j := 0; j < t; j++ { + newState[i].Add(newState[i], zeroElement().Mul(M[j][i], state[j])) + } + } + return newState +} + +func permutation(state []*fr.Element) []*fr.Element { + // Minimum length of state = nInput + nOutput = 2 + t := len(state) + index := t - 2 + RP := rp[index] + C := c[index] + M := m[index] + S := s[index] + P := p[index] + + // 1. Pre-step to the first-half of full rounds: add round constant for round=0 + arc(state, C, t, 0) + + // 2. First-half of full rounds starting at roundNumber = 1 except last round + for i := 0; i < rf/2-1; i++ { + sbox(state, t) + arc(state, C, t, (i+1)*t) + state = mix(state, M, t) + } + + // 3. Last round of first-half of full rounds + sbox(state, t) + arc(state, C, t, (rf/2)*t) + state = mix(state, P, t) + + // 4. Partial rounds + for i := 0; i < RP; i++ { + state[0].Exp(*state[0], alpha) + state[0].Add(state[0], C[(rf/2+1)*t+i]) + // S[i] is a vector of [t*2-1] elements where first t elements are used to compute state[0] + // and the remaining elements starting at [t] are used to compute state[1,..,t-1] + offset := (t*2 - 1) * i + newState0 := zeroElement() + for j := 0; j < len(state); j++ { + newState0.Add(newState0, zeroElement().Mul(state[j], S[offset+j])) + } + offset += t - 1 + for k := 1; k < t; k++ { + state[k].Add(state[k], zeroElement().Mul(state[0], S[offset+k])) + } + state[0] = newState0 + } + + // 5. Second-half of full rounds except last round + for i := 0; i < rf/2-1; i++ { + sbox(state, t) + arc(state, C, t, (rf/2+1)*t+RP+i*t) + state = mix(state, M, t) + } + + // 6. Last round of the second-half of full rounds + sbox(state, t) + state = mix(state, M, t) + return state +} + +func Poseidon(input ...*fr.Element) *fr.Element { + inputLength := len(input) + if inputLength == 0 { + panic("No support for dummy input") + } + + const maxLength = 12 + state := make([]*fr.Element, maxLength+1) + state[0] = zeroElement() + startIndex := 0 + lastIndex := 0 + + // Make a hash chain of the input if its length > maxLength + if inputLength > maxLength { + count := inputLength / maxLength + for i := 0; i < count; i++ { + lastIndex = (i + 1) * maxLength + deepCopy(state[1:], input[startIndex:lastIndex]) + state = permutation(state) + startIndex = lastIndex + } + } + + // For the remaining part of the input OR if 2 <= inputLength <= 12 + if lastIndex < inputLength { + lastIndex = inputLength + remainigLength := lastIndex - startIndex + deepCopy(state[1:], input[startIndex:lastIndex]) + state = permutation(state[:remainigLength+1]) + } + return state[1] +} + +func PoseidonBytes(input ...[]byte) []byte { + inputElements := make([]*fr.Element, len(input)) + for i, ele := range input { + num := new(big.Int).SetBytes(ele) + if num.Cmp(fr.Modulus()) >= 0 { + panic("not support bytes bigger than modulus") + } + e := fr.Element{0, 0, 0, 0} + e.SetBigInt(num) + inputElements[i] = &e + } + res := Poseidon(inputElements...).Bytes() + return res[:] +} + +type digest struct { + h fr.Element + data [][]byte // data to hash +} + +func NewPoseidon() hash.Hash { + d := new(digest) + d.Reset() + return d +} + +// Reset resets the Hash to its initial state. +func (d *digest) Reset() { + d.data = nil + d.h = fr.Element{0, 0, 0, 0} +} + +// Only receive byte slice less than fr.Modulus() +func (d *digest) Write(p []byte) (n int, err error) { + n = len(p) + num := new(big.Int).SetBytes(p) + if num.Cmp(fr.Modulus()) >= 0 { + return 0, errors.New("not support bytes bigger than modulus") + } + d.data = append(d.data, p) + return n, nil +} + +func (d *digest) Size() int { + return BlockSize +} + +// BlockSize returns the number of bytes Sum will return. +func (d *digest) BlockSize() int { + return BlockSize +} + +// Sum appends the current hash to b and returns the resulting slice. +// It does not change the underlying hash state. +func (d *digest) Sum(b []byte) []byte { + e := fr.Element{0, 0, 0, 0} + e.SetBigInt(new(big.Int).SetBytes(PoseidonBytes(d.data...))) + d.h = e + d.data = nil // flush the data already hashed + hash := d.h.Bytes() + b = append(b, hash[:]...) + return b +} diff --git a/ecc/bn254/fr/poseidon/poseidon_test.go b/ecc/bn254/fr/poseidon/poseidon_test.go new file mode 100644 index 000000000..015a157f5 --- /dev/null +++ b/ecc/bn254/fr/poseidon/poseidon_test.go @@ -0,0 +1,157 @@ +package poseidon + +import ( + "math/big" + "testing" + + "github.com/consensys/gnark-crypto/ecc/bn254/fr" + "github.com/stretchr/testify/assert" +) + +func elementFromHexString(v string) *fr.Element { + n, success := new(big.Int).SetString(v, 16) + if !success { + panic("Error parsing hex number") + } + e := fr.Element{0, 0, 0, 0} + e.SetBigInt(n) + return &e +} + +func TestPoseidon1(t *testing.T) { + // Test vector https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt + inputsStr := []string{"1"} + expectedHash := elementFromHexString("112A4F9241E384B0EDE4655E6D2BBF7EBD9595775DE9E7536DF87CD487852FC4") + inputs := make([]*fr.Element, len(inputsStr)) + for i := 0; i < len(inputsStr); i++ { + inputs[i] = elementFromHexString(inputsStr[i]) + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestPoseidon2(t *testing.T) { + // Test vector https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt + inputsStr := []string{"1", "2"} + expectedHash := elementFromHexString("FCA49B798923AB0239DE1C9E7A4A9A2210312B6A2F616D18B5A87F9B628AE29") + inputs := make([]*fr.Element, len(inputsStr)) + for i := 0; i < len(inputsStr); i++ { + inputs[i] = elementFromHexString(inputsStr[i]) + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestPoseidon4(t *testing.T) { + // Test vector https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt + inputsStr := []string{"1", "2", "3", "4"} + expectedHash := elementFromHexString("1148AAEF609AA338B27DAFD89BB98862D8BB2B429ACEAC47D86206154FFE053D") + inputs := make([]*fr.Element, len(inputsStr)) + for i := 0; i < len(inputsStr); i++ { + inputs[i] = elementFromHexString(inputsStr[i]) + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestPoseidon13(t *testing.T) { + // Test vector https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt + expectedHash := elementFromHexString("4EA9108A1551C780A7408570BDEAA3A0294B01F21198B72FF01545A60DA677F") + length := 13 + inputs := make([]*fr.Element, length) + for i := 0; i < length; i++ { + e := fr.NewElement((uint64)(i + 1)) + inputs[i] = &e + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestPoseidon24(t *testing.T) { + // WARNING: No test vector to compare with + expectedHash := elementFromHexString("6C7676E83EF8CB9EF6C25746A5F6B2D39FBA4548B4C29B3D41490BBF3C1108D") + length := 24 + inputs := make([]*fr.Element, length) + for i := 0; i < length; i++ { + e := fr.NewElement((uint64)(i + 1)) + inputs[i] = &e + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestPoseidon30(t *testing.T) { + // WARNING: No test vector to compare with + expectedHash := elementFromHexString("2FF47AB8E9E9F6134600A8DE8B8E99596E573620A7D8D39ED7B2C7CEF9F105F1") + length := 30 + inputs := make([]*fr.Element, length) + for i := 0; i < length; i++ { + e := fr.NewElement((uint64)(i + 1)) + inputs[i] = &e + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestPoseidon256(t *testing.T) { + // WARNING: No test vector to compare with + expectedHash := elementFromHexString("182AF1C3FFD14FA66CDF5FE5D5199473678F221CA3BAB09B44758EF80641C1E0") + length := 256 + inputs := make([]*fr.Element, length) + for i := 0; i < length; i++ { + e := fr.NewElement((uint64)(i + 1)) + inputs[i] = &e + } + actualHash := Poseidon(inputs...) + assert.True(t, actualHash.Equal(expectedHash), "%s != %s", actualHash, expectedHash) +} + +func TestConsistency(t *testing.T) { + // Check whether Poseidon returns the same value for the same input + // Test vector https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt + inputsStr := []string{"1", "2", "3", "4"} + inputs := make([]*fr.Element, len(inputsStr)) + for i := 0; i < len(inputsStr); i++ { + inputs[i] = elementFromHexString(inputsStr[i]) + } + actualHash1 := Poseidon(inputs...) + actualHash2 := Poseidon(inputs...) + assert.True(t, actualHash1.Equal(actualHash2), "%s != %s", actualHash1, actualHash2) +} + +func TestPoseidonBytes(t *testing.T) { + // Test vector https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt + expectedHash := elementFromHexString("FCA49B798923AB0239DE1C9E7A4A9A2210312B6A2F616D18B5A87F9B628AE29") + inputs := make([][]byte, 2) + inputs[0] = make([]byte, 1) + inputs[0][0] = 1 + inputs[1] = make([]byte, 1) + inputs[1][0] = 2 + actualHash := PoseidonBytes(inputs...) + actualHashEle := fr.Element{0, 0, 0, 0} + actualHashEle.SetBytes(actualHash) + assert.True(t, actualHashEle.Equal(expectedHash), "%s != %s", actualHashEle, expectedHash) +} + +func TestDigest(t *testing.T) { + expectedHash := elementFromHexString("FCA49B798923AB0239DE1C9E7A4A9A2210312B6A2F616D18B5A87F9B628AE29") + hFunc := NewPoseidon() + inputs := make([][]byte, 2) + inputs[0] = make([]byte, 1) + inputs[0][0] = 1 + inputs[1] = make([]byte, 1) + inputs[1][0] = 2 + hFunc.Write(inputs[0]) + hFunc.Write(inputs[1]) + actualHash := hFunc.Sum(nil) + actualHashEle := fr.Element{0, 0, 0, 0} + actualHashEle.SetBytes(actualHash) + assert.True(t, actualHashEle.Equal(expectedHash), "%s != %s", actualHashEle, expectedHash) + + hFunc.Reset() + bigNumber, _ := new(big.Int).SetString("21888242871839275222246405745257275088548364400416034343698204186575808495617", 10) + inputs[0] = bigNumber.Bytes() + n, err := hFunc.Write(inputs[0]) + assert.EqualError(t, err, "not support bytes bigger than modulus") + assert.Equal(t, n, 0) +}