diff --git a/src/builtins/pedersen/constants.ts b/src/builtins/pedersen/constants.ts new file mode 100644 index 0000000..5e659eb --- /dev/null +++ b/src/builtins/pedersen/constants.ts @@ -0,0 +1,7593 @@ +class AffinePoint { + x: bigint; + y: bigint; + isNeutralElement: boolean; + + constructor(x: string, y: string, isNeutralElement: boolean = false) { + if (!isNeutralElement) { + this.x = BigInt(x); + this.y = BigInt(y); + } + this.isNeutralElement = isNeutralElement; + } +} + +const CURVE_CONST_BITS: number = 4; +const TABLE_SIZE: number = (1 << CURVE_CONST_BITS) - 1; + +const SHIFT_POINT = new AffinePoint( + "0x049ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804", + "0x03ca0cfe4b3bc6ddf346d49d06ea0ed34e621062c0e056c1d0405d266e10268a", +); + +const P1: Array = [ + new AffinePoint( + "0x0234287dcbaffe7f969c748655fca9e58fa8120b6d56eb0c1080d17957ebe47b", + "0x03b056f100f96fb21e889527d41f4e39940135dd7a6c94cc6ed0268ee89e5615", + ), + new AffinePoint( + "0x003909690e1123c80678a7ba0fde0e8447f6f02b3f6b960034d1e93524f8b476", + "0x07122e9063d239d89d4e336753845b76f2b33ca0d7f0c1acd4b9fe974994cc19", + ), + new AffinePoint( + "0x07229b12e8428f710abf28f83336c210d35cce1fce0c3fb83f5bbbd1033f68c9", + "0x023425e83f32f3677ce1e46d004c13898d5170248300fd0f3ee42b6013a2a2fa", + ), + new AffinePoint( + "0x040fd002e38ea01a01b2702eb7c643e9decc2894cbf31765922e281939ab542c", + "0x0109f720a79e2a41471f054ca885efd90c8cfbbec37991d1b6343991e0a3e740", + ), + new AffinePoint( + "0x00df45299e7e1d2231116da91797315f672deabd6fdd83b139a782c6a3328df4", + "0x058d8082c3852c613f18759e1bce170c8225a2202456c638660aef996f4907cb", + ), + new AffinePoint( + "0x0340f018dac64edcc62482a77357ffa46cb5560a935be398dc1f2d9072728e32", + "0x029d2c3fee3257c4af71536cb2c1a8b5eb960bb874444a956b92f1dab9c23495", + ), + new AffinePoint( + "0x0550eaa3b906d70f681f279029342cb6ca7a18eeaf41f40460dcac94a33558bd", + "0x03290266ae4666f375765ff418ce895ec04e6849bf6c79fd1fdfa55a0d6dbc36", + ), + new 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AffinePoint( + "0x015bc22fa74be34529d89e9caa3447c8aa69b59876f5c246b172fde0e633a804", + "0x04b060da7352bae45339126507f06de98e338869ab7af88290eaf05fec133ca5", + ), + new AffinePoint( + "0x0581210824055a3abab598b09969b9c7ee5e1647a0829296b494dc9a5d5d8790", + "0x002c3bea3a5a48b28edea978527a034b3d0eedf31b5e2f84bc219e4eb4f87091", + ), + new AffinePoint( + "0x04154df9c2e7cb35dd9406bb5abef8fdc604a878645fdfcaa20c74e0f90ac26c", + "0x0232d1195108b296641da56468c5f966c0747446000e6a1349118fddf0a73b42", + ), + new AffinePoint( + "0x03cf0600b0f5a2a4eb78c487cd385350e8c7848e3f6983231881d7f1bbe28543", + "0x056dee4288528de609976ef6b903b652127c37b0590e91a2fdbebc3f11df2628", + ), + new AffinePoint( + "0x000cb84502bb9f4d522687fb257a294ba567777709db826c9bbff2279efb547b", + "0x05ba8245f44f9ed7d910adbd1612fbe741e4c877ecc3a1a1a7b278cd96b5bda4", + ), + new AffinePoint( + "0x070cb9810272a4b0f942f633fba3803e5fb8bc0bfd13486ff2d972ea75b443e6", + "0x07d74d480975481b74055b6df39779e94b9962b4025e119c762bb8886a777226", + 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"0x0622d9baadfde781e985d9722e0a04715666769a4cc7a9bea0b96d6386be1746", + ), + new AffinePoint( + "0x038e1a45b81492aa95d7abea2b08b8c14dc0b8a41108b036871fb737910ae18c", + "0x0145c611262656385e5ed6243568cd3f9f59dbfed7a01ba11e22bb8bb272e08e", + ), + new AffinePoint( + "0x03bf6bff466cf5c43854a9373c81c31628165be11694ef1d6701e3342a4150bf", + "0x031c1af03ee713ee15b08838a9147a6fa56a15eedd15f5687a1df41f9bfe100c", + ), + new AffinePoint( + "0x0206e54ca53a2f155bd4fc45bf2edb77798ae6623defd4cf22f2dd4a7d119dad", + "0x06c94e7f0825ad81680e4cdbcaaaf4df806d57a0d1fb2331926c3fe2b79d22e8", + ), + new AffinePoint( + "0x0302a4ba23137ad9bccbfccb328dc25b8e1173e097b59810d79f207cfdf7ef6b", + "0x006c952eb7fb3f585322f8d6fd133f6b78303b191618a189d6ecf7decf966412", + ), + new AffinePoint( + "0x0106a9c62c5405334ed27a16ed12341ab2c17e913a05ba001cda623b06d88adb", + "0x0158427080f8ce96d15a3128ed44e4f54e23419eb8626601d270ba52df8fe942", + ), + new AffinePoint( + "0x04a6aa904f920990b1ae1ade15b37a3de3f93e0fdad78e6cb4fc262edeec939f", + "0x030071f5b6c44b91d0fb0be4200580393b7eaa2db8eb52c550413b8f78e0a008", + ), + new AffinePoint( + "0x0056e98d2862893caebf66180e84badf19ffc8b53041eaaa313ae7286a8fac3d", + "0x0526306f9c01afd6e0c1198ea5de17630f5a39c4ecd02d8e6f0d613c355995c6", + ), + new AffinePoint( + "0x0384acdf41ad76c51f898f1b8e66f6fc984b43f70a0303fae6847ed28eecd6c7", + "0x04ceeebe5412944e58b9d16a5a8b1a0bf6b90a872e52d52ff8c2214137e8ec56", + ), + new AffinePoint( + "0x07e28dc225059412f4f6a2379038e7c00ffe6053a05bf41fd6c0c2bb653d083e", + "0x065ceccb9843608d93a1295920c8bddd8e964740b432e83bfb40aae90895ee74", + ), + new AffinePoint( + "0x05f29957de1b7dea65521a1e8328fb263952bcb5e749bff3fa07c7c7326d9134", + "0x047184c0bdc7dd4f44816eb3791cf8d6b757876abd3d9badd5cbe9060a90ac82", + ), + new AffinePoint( + "0x042a869b5b30304833d084c561ae7531aba65dba7f03acfc9c71f61e7910fd2e", + "0x02778f94f220608443d0f6fecd1c09118a7e6edd72929c7421317abeb6eba5cf", + ), + new AffinePoint( + "0x0704d2c3675084df3e661f548142c2d3fb8d6bfbf13a2f52ea53019fd2e96388", + "0x02805669a0e5e23fe38f58fd2b70e0e102c499d91f239881d8c635e75eacfef7", + ), + new AffinePoint( + "0x04e09727e95d09ae53f9036380e0bbd64e4078688eb8013a79366fe59d65986a", + "0x033478da9435044a5f47d2dbfbf0b015e575916f4f32751be1a433450e5516ca", + ), + new AffinePoint( + "0x01e52b3479c49a28a60362bcf8f0e607462f8d50fca5d4050c036d56ab6d51e3", + "0x0056992cf01cf709780853a8696eb929fcf5bce93eead6638f36d6d931c7996e", + ), +]; + +const P2: Array = [ + new AffinePoint( + "0x04fa56f376c83db33f9dab2656558f3399099ec1de5e3018b7a6932dba8aa378", + "0x03fa0984c931c9e38113e0c0e47e4401562761f92a7a23b45168f4e80ff5b54d", + ), + new AffinePoint( + "0x0450cfaadfecdb8a2fbd4b95c44cb1db723ee5ac9677c9c188b3d7c8eff4ca58", + "0x01a552bdfc0c81be734f1f6ca9a6dd3ab4daa61c11fb53ebb7046eee25d617c7", + ), + new AffinePoint( + "0x05f3c42968a2445f7784eca32c75bd399e9a455b96cdeeac3fb1e4c4b7d83c50", + "0x07199b045fbce7d84b22893681d2ea2ef18ac5eae7cc54d3206bbdddb8849b5b", + ), + new AffinePoint( + "0x06fe20e5c8a8004e33eafc84d16ef770f2f0b7bace19adaaa150f987d295a34d", + "0x028a35040a2ebe9a14a162d3208d5eabc6e2f3a8310f926bd80be65aa71775e2", + ), + new AffinePoint( + "0x016133bb52fbae14156cf016efff8fdd75ca7015430f57c435c2ff037422bc09", + "0x0512ff1fef37e3d58a1e440c5b657564eec7e28423cbf485e101647d0a98bb9b", + ), + new AffinePoint( + "0x07b538804570a7441a0ae68824b42b2bbd131f5136f3aa20462538f2be66cee6", + "0x05a43a2f1cd9473c474eb7cd16145e663d0ec7d6d6615d08b971e473301f906e", + ), + new AffinePoint( + "0x062241bd2e386591860d327f584fdbe23a527310158b45e70a182a73366f6e6a", + "0x035b798367c75565fd2992d8116cd7b319587fb860e91f367309e7f49c3d1068", + ), + new AffinePoint( + "0x01bd65f45a35bf62ae8f9ffcbd7de2976b90518b6820c219f039c50043bb1edf", + "0x00fb5f0f8659f9b6ed7cb0ddd7999506d0c20b26bbe69d1915a31842cfac41eb", + ), + new AffinePoint( + "0x003c5bff101300681fbf53fbcd5d2c6336e2bccaac0f50bc13d5762a3a0fd1fd", + "0x047cbfb37b195d96a8d6e97fd77f5d4d021372d1182c31053a97cdc382b5507e", + ), + new AffinePoint( + "0x05c1babb3bc6c9523c8fbe21c7b2f47e78872fec5dc8d7ad9059999e61688858", + "0x03b26d5842e25a83658936c2f9c73006e8cb38d5ade1c12a019bc15ae5d8a540", + ), + new AffinePoint( + "0x0388b9b148376f3798ab8a98e5841e51af6d0776010d1cb1ab79fe581d836f02", + "0x06b1fc368952a8a3ba7a2e7b002fccefbd502268ad3a45a2bccf773420797dd3", + ), + new AffinePoint( + "0x051f7cc598d932c162dc4feabc484e032122f13f0c23ef1e2683c147d763fc86", + "0x0292f639305626362e677e5ad5520674d996012c6dfe9f3c4f96e607892ad73a", + ), + new AffinePoint( + "0x0698ea44aef29dccf0ca89c3e0bb993a8f2d1d8c080c2c9475ae0f8116ba9aa0", + "0x03ddcd75da2cfe6f55dc28e76ebd22bcae65153297f9c8c09e93b958688623dd", + ), + new AffinePoint( + "0x023650abad25aebb28499719de43930a68af8c9fdb76fec5e4e52b319c7fceb9", + "0x031664dcdedc69ddac2aaa4eeb3afef71c3f1dc0dcfd9ee78cbace6f7c897d24", + ), + new AffinePoint( + "0x05106cb5ad3f20feed8426e97c2bd3fe9f13e2d0c69536700d14fd041e5d2a9d", + "0x079c66396d43746dfc11afc1446bcce12ab0078226db534dc6642a6f1b8f750d", + ), +]; + +const P3: Array = [ + new AffinePoint( + "0x04ba4cc166be8dec764910f75b45f74b40c690c74709e90f3aa372f0bd2d6997", + "0x0040301cf5c1751f4b971e46c4ede85fcac5c59a5ce5ae7c48151f27b24b219c", + ), + new AffinePoint( + "0x021cfbc678f5a279ebb6ed124273c8df37eaf12a2d04180403ae6b5ec0b1e1ef", + "0x04478ed6a346d899ad7b0b10350270aad39ddd5b68529297e4c91a54357f0a7f", + ), + new AffinePoint( + "0x04dec38409d5dfa77f4ca0a06c15426874cbe0cbc6ea99142650e0686187835a", + "0x048807c844c79d243a4bab8ba138e983fef7560fa3f2a0763bb42f96d8df9d6c", + ), + new AffinePoint( + "0x0350bfefbe3d864eaadac9cc1195c14159bb736be743aed7380d2384cadd2046", + "0x05e2a4b3ad0e1d7b9b8ef72b10d68a80e5ee691d7db591fcfbaad6240d41da8b", + ), + new AffinePoint( + "0x019e6016dde5ddffc7e7f0bc62a6d8b2449c350b1fd840ccf884c8ec50e02c19", + "0x059af2e3bd3001fb9204ddf012dfc235d3ad98cce0baff76e1b5b9f4619b0d3d", + ), + new AffinePoint( + "0x00efe19f848cb8e36d2f616fecef330e1b623af75aaaaf2e11d292a64eda55ec", + "0x023ad1628d291b58a643958bf7cd5b98ccf79c24fcaa9eb078b7d961e34bdc0b", + ), + new AffinePoint( + "0x07814f68038950e432aff0cef8e96db5e4527a84cf05993c1e1d240bc7a0e6b9", + "0x0572872b92a17a89d5a2683f227b4770cda6257aefa7ce8fcf14f406739960d6", + ), + new AffinePoint( + "0x0529acd569127f73c8d34345f87e96cebfb48ee12a00a3861cda209337ed94e6", + "0x003120671a89b705e5bfd99b0e7fd2118b4914a3ac309b3d74527cacb5ad7491", + ), + new AffinePoint( + "0x0304f0eb6b09116061646f88e8a7721c656716c96910633d18e3c0756189877f", + "0x027ae2fd82000986a20fa0206eabf4b1b7ad5453dbb6c61dc6d13abceb49112b", + ), + new AffinePoint( + "0x02101df17e022d3d0c125e8fca21268c512cc2c0f85477b42914ab1f4cf1cd8f", + "0x07d825bb842cc4f72cb6d230d4d7f28c635205c7857470bb72059c580538d670", + ), + new AffinePoint( + "0x0660cc21392a3befa682f428644662749be4393f65a16a7618d09946c58ffe84", + "0x035ce3168f6d250dfab31726d06d40dd5cf95e1371496a0471f83ebd4f809b70", + ), + new AffinePoint( + "0x052e9229d27d295d6ff60ec4778d701b4d128814b266bdf88be36e43735ac6a8", + "0x0655ec98747fa55c63ddac1b84eac72a5993268802c1056c185dec406838fc7f", + ), + new AffinePoint( + "0x037b591892f3493f6d0513bcc535e03321359555c87249955899babc04a06845", + "0x024c4904a48358bfe7ffb2ebe06c89952e1b6b912ba646c166dd766f5692c386", + ), + new AffinePoint( + "0x034c93ecb083343ede2a6083fe14b3d9244160f1796d80b2576acc8276fbf0ea", + "0x009d5dd7ce78850029b7adeb6a402993b64eff29f129977d3d1960a0a154de48", + ), + new AffinePoint( + "0x05ed0e3fb9cd1367a1148d1ba9f0c9f83f59886499de433833312a05cdf5afe8", + "0x0457078a1b1168fad9859d5d21173e1b601b4a7bd203390ee298a08cbcdd5ddf", + ), + new AffinePoint( + "0x055d3d7956a97d10e65a4d8ffeba40deaf0db0b57f8e022cdb3df6df613f5c6d", + "0x0159e59a6f92f48fcf85aa96c1a03749a4c4e2cf9e2bc94dd36796daebd9b8b9", + ), + new AffinePoint( + "0x0405f019ee8f2e972a005c549b0884b5051f63d1e78480b73208dc07d8c65a1f", + "0x04301a3d0c285ad309ff24a12c100ead7f48ba1368143712f32ac141ab4d9e8d", + ), + new AffinePoint( + "0x004a3a53db1f9b9da9081b4aee2073c7621b3ea3e06a0afbd312802f6af2b612", + "0x01e51ff9719903acbd54bdd956980b21531f9392f1932e9c80123f27b47b5883", + ), + new AffinePoint( + "0x0376d59b298d982f02dccad0edd5bbd4e5e8fad7898750675ed0856850a7babe", + "0x05233b12bbc50564eb61cc098a17d3d97f06ec7a230380e4c5d3b725cc318eba", + ), + new AffinePoint( + "0x041f40e1cd7cf3527052219197c3d298470d78798fb0df1b1326a1c5f336ead0", + "0x00c4e8c3c95c83107325cbf0d916ac4c639fe0509fc07e3cdeebfb1c61494cf1", + ), + new AffinePoint( + "0x010c9eb3842bd85b01e1f52736e6e177d38b537eefafeb808d59367afaed0e89", + "0x011fb431eaa96cfac413899040e10611cc2bf8973dde41d3e83608d4af4a0f4d", + ), + new AffinePoint( + "0x0548a0ce82097f8a4ec3388ac2987143e1d250878886beb3d551483659a6d763", + "0x026317a88f7055099b51feb102f57181d122908210c65169c5bea4683ffe1371", + 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), + new AffinePoint( + "0x022481d73d948702b1d11f662cbefe5005c2e17fc3ec9419c8e881b867626d9d", + "0x0420d41966fd0c27edb72d1c5eb9097694fec7d18039098b0e87e5fbb158e24f", + ), + new AffinePoint( + "0x02688070f09c9725c2578819c5a49b47cc024cb45e63f2d4cabc5d926038fcc2", + "0x017beab7c707c79b047441389fdff6d4872e74359bc1da247140de9fc03375a9", + ), + new AffinePoint( + "0x016a69a7cf1f65594afadb02879b3e794748daccd696a1735b2d34122af395d6", + "0x04dd0e24a1432070a39ebc7fd27260b6ea21468e9a90a3116103c4ece6e777d9", + ), + new AffinePoint( + "0x0023186237dc7d3b570cea645282ad4c359731bbfa54e7f036426bf6493812cd", + "0x07d1fbab7e61a22d3b00993290d9f4cd5d820061573e787f66c2cff9a18e1eaf", + ), + new AffinePoint( + "0x054442669b321b67eecc04ac0d44eb106e94eec55f884743853da112306db35d", + "0x079e135fc490bde123cfb435a5623d5a91267bb78af42e7c36bb7b4f1e8738a6", + ), + new AffinePoint( + "0x0208ada8917dbbaa4fd47860342d88e2ea48f9ad8496245e823195c503c9e591", + "0x043449048fcb48958593754d47444c8006ade78bb3653620184e587357b0876b", + ), + new AffinePoint( + "0x02e34ab0e42003b89aa2eddc291984690086e2b2ccd9652d7a3a963031d27cbd", + "0x034112f9bed212363cb62d8dabcb64d42e07239aef78be28cc4b6df8df33952b", + ), + new AffinePoint( + "0x02d7d88f58ff5a901f89e893920f3fafa5ed0bad3e26c981be99f7297c7364a3", + "0x0527edc567207eb33cb94b0a28ae240cc9e482f8282f635e15400706a72dd283", + ), + new AffinePoint( + "0x04a17894569ea9902cd0a985f500120364bddb3a34642b1429a9fff6d8ed7f77", + "0x02234e91e011d378154fe23ce94700b19bca1ccb6b2f979d302ad72eef531bc1", + ), + new AffinePoint( + "0x04c0615b6ccfe7165a1ff4990bb52a5ac593a93b7f7d5523ed9e78d1cfeb1983", + "0x0230006751153f0a50c375d114dff3a493a8c09f524687a7abbbc6457c918bef", + ), + new AffinePoint( + "0x00053a33f7ab1686308771229bc41f2e8da1bf6ce7262f73a95fcc4d7570543e", + "0x02843c0ad3ca1580d0d26099e81222946e8d1a0551dcfff5b097db60483ebcf3", + ), +]; + +const P4: Array = [ + new AffinePoint( + "0x054302dcb0e6cc1c6e44cca8f61a63bb2ca65048d53fb325d36ff12c49a58202", + "0x01b77b3e37d13504b348046268d8ae25ce98ad783c25561a879dcc77e99c2426", + ), + new AffinePoint( + "0x013961b56b9fc0e412e468c385c22bd0680a25624ec211ffbb6bc877b2a6926c", + "0x062f7f7792c77cd981fad13cb6863fe099c4d971c1374109185eae99943f16e9", + ), + new AffinePoint( + "0x075d976d5ff2a1d52c24a9ec8ed35ba60bbf630716b3bfbce6954f3fcb9dfa87", + "0x0250632783922466251dd6abef2544ea22f5a89b2e97d0c53408a0ff0f45c595", + ), + new AffinePoint( + "0x047abd7308c70659af3f00fafe6837298af3cb530b6c2ba710ffd07a6bc1ae98", + "0x075d0c8a7377aa9f0663d0c124a5659750847afabc29e39893fd27534a4a03cb", + ), + new AffinePoint( + "0x079e6dd2bb4e7ca86d651d69277c8ba45dcb0081e28946933c1624f33b43c297", + "0x03da084b3dd2e894cbd3a95cfd0d3ce98dd3d679bbafbeef0359b192a658b782", + ), + new AffinePoint( + "0x04b0af87863a15652fe3e0c7a9318f91ccac4dd1d7eb766be4769093cd5ef21a", + "0x0644cc5a94960f1aefd34fe3a75c19b5df4d690bff6e76f1122ac429b29e8e5a", + ), + new AffinePoint( + "0x0576bd6a9723bcdac5ae9423c82a3a7306dd8ee518b585886c31dbc5cbc7ee73", + "0x00a711ed74dde7ecd3ef8f81909ea1c1072af38e2729cd088c2e286f65e85d2d", + ), + new AffinePoint( + "0x02c6276b764fb398fa555857dbe0ce0ec18fab7a233bf23851295739801f0585", + "0x05d8f4897ce44007ec5bfcb9aeb78b8f6e1d40a514f72d213c9300d2770d2b8c", + ), + new AffinePoint( + "0x012d65f3000d0a98cc3d172fb031a07aa63f391709b211e5c38147dfacfe71c5", + "0x05e94d3f940a0601f57fbe70ac424b62a6aa6af065d82b9394cd909a39630fa3", + ), + new AffinePoint( + "0x009628a2d5078181628e2a6e7214f432ab6ad06d7446568e1d0e1f7eeafdad15", + "0x03812de62dcbf40d0fc38b3c22da6978132840c3336d9724dace26a91c61467b", + ), + new AffinePoint( + "0x05fef03c9ba206f38c70829708e17a04052a699db2bbed270d3b9f641044b3e6", + "0x034a81caa74de5e03554f0feee581fbec57f3cb99b336a6b0b7121998947770d", + ), + new AffinePoint( + "0x062423050232c4818bd34bbdb4a8127899655dfb1dae2172bccb278a7c3a0b11", + "0x065b076c15d5b8f7f24eb25f46b8147e6384f9a28a957e77a5bc1e55bcd31c37", + ), + new AffinePoint( + "0x04aa4c2a719175731431d916ceaf28d3386a4cd73a8fcad057c0fa95b5803580", + "0x037ba35dc893cd7909f28c9c0965e0029ecb3dfcaa2bc1509e5eebf984112c7f", + ), + new AffinePoint( + "0x0356d8851b470a0b475f5e637bd7435cb794acf1856dc37f61fc80a540861229", + "0x0001be1102267114ad5e85097e7e282a459707d4f1a7969587b59b692aa64fa6", + ), + new AffinePoint( + "0x049d7273e1dc085a9a502054d8c627268faad04bee9d554e8bc826487c0ee020", + "0x0283007adf98c5aa81d8dc112ec0e71cf97cc63a83887ac46cfa56bcdc6454bc", + ), +]; diff --git a/src/builtins/pedersen/pedersen.ts b/src/builtins/pedersen/pedersen.ts new file mode 100644 index 0000000..422a308 --- /dev/null +++ b/src/builtins/pedersen/pedersen.ts @@ -0,0 +1,176 @@ +//The hash function implementation comes from the rust one of Lambdawork: +//https://github.com/lambdaclass/lambdaworks/blob/main/crypto/src/hash/pedersen/mod.rs#L43 + +function pedersen(x: bigint, y: bigint): bigint { + var xBool: boolean[] = toBitsLe(x); + var yBool: boolean[] = toBitsLe(y); + var hash: AffinePoint = SHIFT_POINT; + + hash = lookupAndAccumulate(hash, xBool.slice(0, 248), P1); + hash = lookupAndAccumulate(hash, xBool.slice(248, 252), P2); + hash = lookupAndAccumulate(hash, yBool.slice(0, 248), P3); + hash = lookupAndAccumulate(hash, yBool.slice(248, 252), P4); + + return hash.x; +} + +function add(point1: AffinePoint, point2: AffinePoint): AffinePoint { + var point3 = new AffinePoint("0x0", "0x0"); + //Deal with neutral elements + if (point1.isNeutralElement) { + return point2; + } else if (point2.isNeutralElement) { + return point1; + } + + //Deal with case where point1 is the inverse of point2 + if (point1.x === point2.x && point1.y === -point2.y) { + point3.isNeutralElement = true; + return point3; + } + + //Tangent Rule with a = 1 (Stark curve) + if ( + point1.x === point2.x && + point1.y === point2.y && + point1.y !== BigInt(0) + ) { + point3.x = (BigInt(3) * point1.x * point1.x) % PRIME; + if (point3.x < 0) { + point3.x += PRIME; + } + point3.x += BigInt(1); + if (point3.x < 0) { + point3.x += PRIME; + } + point3.x *= modInv(BigInt(2) * point1.y) % PRIME; + point3.x %= PRIME; + if (point3.x < 0) { + point3.x += PRIME; + } + point3.y = point3.x; + point3.x *= point3.x % PRIME; + point3.x %= PRIME; + if (point3.x < 0) { + point3.x += PRIME; + } + point3.x -= (BigInt(2) * point1.x) % PRIME; + point3.x %= PRIME; + if (point3.x < 0) { + point3.x += PRIME; + } + point3.y *= (point1.x - point3.x) % PRIME; + point3.y %= PRIME; + if (point3.y < 0) { + point3.y += PRIME; + } + point3.y -= point1.y % PRIME; + point3.y %= PRIME; + if (point3.y < 0) { + point3.y += PRIME; + } + return point3; + } + + //Chord Rule + if (point1.x !== point2.x) { + var delta_y = (point2.y - point1.y) % PRIME; + if (delta_y < 0) { + delta_y += PRIME; + } + var delta_x = (point2.x - point1.x) % PRIME; + if (delta_x < 0) { + delta_x += PRIME; + } + + point3.x = (delta_y * modInv(delta_x) * delta_y * modInv(delta_x)) % PRIME; + if (point3.x < 0) { + point3.x += PRIME; + } + point3.x -= (point1.x + point2.x) % PRIME; + point3.x %= PRIME; + if (point3.x < 0) { + point3.x += PRIME; + } + + point3.y = (delta_y * modInv(delta_x)) % PRIME; + if (point3.y < 0) { + point3.y += PRIME; + } + point3.y *= (point1.x - point3.x) % PRIME; + point3.y %= PRIME; + if (point3.y < 0) { + point3.y += PRIME; + } + point3.y -= point1.y % PRIME; + point3.y %= PRIME; + if (point3.y < 0) { + point3.y += PRIME; + } + return point3; + } + + return point3; +} + +function modInv(a: bigint): bigint { + return modExp(a, PRIME - BigInt(2)); +} + +function modExp(base: bigint, exponent: bigint): bigint { + var result = BigInt(1); + base = base % PRIME; + + while (exponent > 0) { + if (exponent % BigInt(2) === BigInt(1)) { + result = (result * base) % PRIME; + } + exponent = exponent >> BigInt(1); + base = (base * base) % PRIME; + } + + return result; +} + +function lookupAndAccumulate( + res: AffinePoint, + bits: boolean[], + prep: AffinePoint[], +): AffinePoint { + var chunks_of_bit: boolean[][] = chunks(bits, CURVE_CONST_BITS); + chunks_of_bit.forEach((v, i) => { + var offset = boolsToUsizeLe(v); + if (offset > 0) { + res = add(res, prep[i * TABLE_SIZE + offset - 1]); + } + }); + return res; +} + +function boolsToUsizeLe(bools: boolean[]): number { + var result: number = 0; + for (const [ind, bit] of bools.entries()) { + if (bit) { + result += 1 << ind; + } + } + return result; +} + +function chunks(bits: boolean[], sizeOfChunk: number): boolean[][] { + const chunks_of_bit: boolean[][] = []; + for (let i = 0; i < bits.length; i += sizeOfChunk) { + const chunk = bits.slice(i, i + sizeOfChunk); + chunks_of_bit.push(chunk); + } + return chunks_of_bit; +} + +function toBitsLe(x: bigint): boolean[] { + let binaryString = x.toString(2); + //const paddingLength = 8 - (binaryString.length % 8); + //binaryString = "0".repeat(paddingLength) + binaryString; + const bits = binaryString.split("").map((bit) => bit === "1"); + bits.reverse(); + return bits; +} diff --git a/src/tests.ts b/src/tests.ts index 7891ed3..a47c530 100644 --- a/src/tests.ts +++ b/src/tests.ts @@ -33,3 +33,52 @@ function testObjectFromArray(): void { function testCurrentStep(): void { Logger.log(getLastActiveRowIndex("A") - 2); } + +function testAddition(): void { + var P = new AffinePoint( + "45477851653901153117103016505176923677805691341513469374986918421704783798", + "183085939200008105303514891306249502070824714566204820793608690653248096343", + ); + var Q = new AffinePoint( + "1110490586165327629491026518265864493948957016447342824580924691292949995955", + "3150911138446828848637348285516855379003902600135909185517179002759670428860", + ); + var minusP = new AffinePoint( + "45477851653901153117103016505176923677805691341513469374986918421704783798", + "-183085939200008105303514891306249502070824714566204820793608690653248096343", + ); + var neutralElement = new AffinePoint("0x0", "0x0", true); + Logger.log(add(P, neutralElement)); + //Expect : + //x=45477851653901153117103016505176923677805691341513469374986918421704783798 + //y=183085939200008105303514891306249502070824714566204820793608690653248096343 + Logger.log(add(neutralElement, P)); + //x=45477851653901153117103016505176923677805691341513469374986918421704783798 + //y=183085939200008105303514891306249502070824714566204820793608690653248096343 + Logger.log(add(P, minusP)); + //Expect : + //isNeutralElement=true + Logger.log(add(P, P)); + //Expect : + //x=1968885970339083619948296146201104092252508104349267720068326878178341392969 + //y=593121236708823356289653686480454355603982629001053929931980663109960391985 + Logger.log(add(P, Q)); + //Expect : + //x=2825233123465961750980798694652743017262313358557354910947070689454726096961 + //y=3554824400633731496516020947624430028316074332303691877626182575674539922487 +} + +function testPedersen(): void { + Logger.log( + pedersen( + BigInt( + "0x03d937c035c878245caf64531a5756109c53068da139362728feb561405371cb", + ), + BigInt( + "0x0208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31a", + ), + ).toString(16), + ); + //Expect : + //30e480bed5fe53fa909cc0f8c4d99b8f9f2c016be4c41e13a4848797979c662 +} diff --git a/src/ui/Code.ts b/src/ui/Code.ts index 6487961..32b368c 100644 --- a/src/ui/Code.ts +++ b/src/ui/Code.ts @@ -65,3 +65,7 @@ function DECODE_INSTRUCTION(encodedInstruction: string): [any[]] { return [[""]]; } } + +function PEDERSEN(x: number | string, y: number | string): number | string { + return pedersen(BigInt(x), BigInt(y)).toString(16); +}