nim-bncurve/tests/tvectors.nim

30093 lines
4.5 MiB

import unittest
import nimcrypto/utils
import ../bncurve/[fields, groups]
# Total size of test vectors is 10_000, but CI is too slow to test it
# in reasonable time, so we will test only 1000 vectors.
const TestsCount = 1000
const
FRExpected = [
"0000000000000000000000000000000000000000000000000000000000000001",
"0000000000000000000000000000000000000000000000000000000000000003",
"2042def740cbc01bd03583cf0100e59370229adafbd0f5b62d414e62a000000d",
"1eced988f1c4e0f7f7433f99dc0eb1b89dd2a1b7c00a6e1a5df4900b27c8a6b3",
"02363a20539db6638514cb4ba7ec49c91b2c5d405b7e5c021d3a0bf834f2ef0a",
"09889144b32647e7a6a9ec0646bbabe83d9b7d9188c3bdcd3b002c55c9aa80ef",
"014ced1876c520cc926b880803323cb80b4554f8c2588032f6cb727157371641",
"179da4e61ae3117b9b12f86f5aa4f14e1fc3b46bf05d1423900f9ce6228b6d40",
"067140865d6292881384dc2252b9dd20111c942dc2364e8c98f1da3c28da888f",
"2ca25f36b7b20358489b49421b20f6a10eacf80e7f3d2bfce7593d0777fef418",
"2bf0a17a3fa0670820f4f2469774a98f9bcd6a5e490e97d6e11f361c914cfe8c",
"29a228ca3b4b8ed9cf1c2957a826aaf9cc3d1bdccc99996092b42907e8d763d4",
"296a1aae3b4d8c87257609dba587338419937a3f7a8e37234deca0eb9b761478",
"05c9dd8d3da17bb45967ad595e6440ba84243707a5b2a45568f22731b7f2055c",
"2e99a1f1b911be2b5eae798a1bdb87ec8b6b66015af43114d4c4f0c3081808d8",
"0500c67659a93bcd482ce6e2e198e671bff5e9bf276891b0c7f79200da6dd6b5",
"020a4cdd4381c2c7e2a1885ac88036bbacc0d6aac38ca1113c10efe9226e5744",
"29329d9432d2146f11a0d9e2578c09f7f1182b9cb20f988c6bad57bcb614e48f",
"09507fcafb26bb82d68228ef5f5ed7b71aab295bbe4cdc759df141917d11d79e",
"00a0ba7dcf0405380408feb28cdeeb784a19d0b9679d1adc005e9f1ab34f251a",
"067517b1a7f50aa3a3c9dd3db988b0e2e87a8e6b3fb1184b8a06cc3529141132",
"13e5c7527050b265295b9739cd2f95312932bfb62ce4c159c0ab92a61f0dcdab",
"2a737c37b6881ca875205b949c313108f54eee116d876d4685a88e77a88a7589",
"1103f082a016eea4c4dde6b7caf6d5f23d45007920eacd4ac8c952a9ece70d33",
"12f45350d4c50366dd0c88a77ce35b802cf1e6929210449ff83a73a627ae8a9b",
"18b04aa529992886a880fbabdcc834a983bf07bfb23cfa7bba660aec0a10a8ae",
"03820dad30db55157ce87fc6812ec0a4e659e7547b18206d5844a6d1f28399e1",
"030dfdd27e4e180392ec965b8bf2586d3203fe8931be034c966c37433625fd9a",
"08a9b73efb3282526bee3e609fb408449503b70f617b3bab42919108852cf44b",
"184b6a8fd93b49422099e5d75090dce92edf553115452635bbc8e623ce312ad3",
"030273cc32bbe84b480930f2313491a19c00e2dd39fbd30993603bb8b5495e95",
"1622dd450399ca70b99e94f60d87490b1078ff0dc3ce82cb32fd7dce0c4a4499",
"0195e53a05f7b95040d27b2819f7b23b40c0871dbc476e3c102e4cb64904483e",
"2910b512191aae4c5f27f90aea2f41b3b0e0f2042d57ebc8dc51901d06b10024",
"2e795bc0783c41c950330abcbd7e92a6d7e558787e7f579b4c2e4aaf9f66630f",
"0c34e777e38a18cb4edc5e9d3f4f07dbb1b074f38347dd53a015be494f24c0b0",
"277348139e45c362741e424e4dc10b94df979bbf14f7c4b6dc144a0a0c593e1c",
"1dff63c029e19454c2360a88baf804cafa60f6a50cbb71a79715c2832cf47408",
"23e84f6518e9bab5af850cf1f38a873fe8be0c2f786d1d4e1fdaf32d46150500",
"211b26970071c65390a8c6d822423ab281aae480a12a6fc836b40884a4337e53",
"296abf4e45cc54ba75225ebac4fe863d5cfe725105cadfc9f9357f791d7ffdd9",
"22cf34de7b862a2c4874a03b7ce9a9ac8e748e4741a7d01ef7e443430a543b33",
"2fca5ad500e198625c9d542e0d4aefdcda28d246edf9a83f34c57ac1cfe98a34",
"2a471ed73102e6918e55b0ef00822a5281ef0e49b4586cce10ab2671ddf95731",
"2210b49819b69ca317b63ccfe3a4fed4fcc9b9b368dee5d988624487f7cd7d99",
"0ac117037c41ac977dfac11e614ff3c1f0604fdf1e934addd96ca426a2d56c45",
"18a0c2a40073a85c4a4cec75dc9e049a18def78960c7429a9c6abc1cde4d1c42",
"229574d27795392985547b551380cda18972a32c2caf87b910746ebda6615ca8",
"1c6f0bc008a80d5d36cf483df553e24ac4f969d7a02f45e93181441d79fb72fc",
"1060b506a53a740169a80954eb5fcfc6b261cfca0c021a8113841bfa2b10d3df",
"23ecc4f3237f76dc81fbbb8e467d253ebb6b4e99b9f2c607daec1bb599a63108",
"2350041950c0d7144e6790f939fa4f2f53165b82e6f5c1c730b7129ff1dd6075",
"179de2653b84e8e5d925b21cf206b9886ffe9df14dd300ef48341707f3a8e43a",
"16c670be2c945714cf9e5b30cc54b846a86ade34ca2f19e95cb9782cd1a1f4f6",
"2a6ac3b3bd2a3ca35792323fe39384b7ba44fd70b8788bfb9a28f0397e6c58f2",
"27c800eb72d3f1ac091747cedb323b02178e9cab5951f1b1c97b70430bc93f49",
"0acb5953cf1583df3f5be7fc264a01d561642171ed8ad66cb0750ef84637919a",
"239f76d1622590038d64e710422cda6cb6e3e12d1593b07b08faea2dd71848de",
"2dab87d5e027c3aa07b95691cf313088176763b92a1a101142b202224c889319",
"2ebb685e594b7ae133c381606c8fc1c7a07ec46c653b1d5e73734362bc8cc31b",
"238274a880a47a28cec6660f31ca766e7c024fb458f7e1df5cc8d9f1fa49b364",
"27c5e092fa1ee06da63928770d5ecc7931845869260b3966d6523ea526db2789",
"00dcdcb4cc0015ab8b8bfca1d52e335275b6fb39b58d41c2b30367a104dc2fec",
"22c7f9595340b66a5f0781fc8c6856facc2228ef749ebe8f4e26a3c9ab74465c",
"2ea0cafc90188c763ae65f132d3d5c873e4bf9a50ceb079874d1c346ab8fb63d",
"180066c34e34c473953b3e66d98660e733729376074b231198e921d4ae28ac75",
"0cc81637599da9f5b8285737283752575daedabd7b463e02992933126b59e167",
"274ced6e1efb4148e7fb778afdb6e7a41a5af073df6c43b7103f291efac8ca76",
"2dccf0cb2b0c9165392462712673c4075a99d1f1e3118ffb3deadcda415768a6",
"1d0128b4b0f47f814b2fb6491f03654541725612c465267f02b73ed28074fbc1",
"264770a08b4fcfe8dcde0161cb4cfe1d851227fa5538adcdef80827636d95f92",
"08cd18d2188a1b7e7103b95a1b7022cb56f14916b5b5a8b4db2b7305d222fb1c",
"2b0fa450d5c7dda8eb466723cd25e0b762968e52fb8a558225ad2b0b3c9f15e4",
"0fb89c9eb27d7e49d4988722e645714fe5be1fd5d1dd7b9f475a10222aef9fb0",
"2384e79d245f048e6433b04a3c7e527a736c198c67682a23cccc127e0fe341c3",
"240c04ce80bb543b5b9dc19abacc681c8c58778141349e9e3f492515c54dbfdd",
"1b2c3e4505b9325d56c1fe596f839bc3bc023ca08485a3f71f575994e61e4e9a",
"2c341055bdfd39ae1c9012b5456790d9e6bb603a56cd215b8fc7ff5df23babda",
"2a618fada6222167ec179c0d2d5a3db64b07d04a0d8ce903ffcd878708131fc6",
"098505eda76826a820e63e004a19ce3c16fbc465d5c294e4710121781e476016",
"2198b95feb3a29a0bc7439a763caf039448143e464d12c3a5753fa4b4039b97e",
"23e150228a041db5a598c4955ad4b763b2edb6208b5f4caccf790d0a2d927215",
"1806b48868d9900275573f4e57ecc9257f0b8787527a2b96d2e24f1cfd4b6ac1",
"2b7b0225bd8e48a401ab3a10507845bf3110c5959980023d166dc4be0aabdadf",
"1b5d5b3c9f454b4019116206d223c708bba4ee71138fffb32ed8674943c72486",
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"1fddf00cfacfef6cf8dd5e88e04298fd376934a40938aee523338677258469ca",
"01fd18b9683b1aac8675185d5d06773aaab0e19112ddc9bb63e2c63bcde49db0",
"140899d53f48c9b200a48a8618dda9f24ba27a9acdb63dcf633107feae16fe98",
"0a0a0501eb8fbabf040f420ecad8797db587601e3deab6a01ce4b0d306be7cc6",
"2fa5a098db8149032e6bb899bc0b97c6b2ffdd6cfcc955d17ea2afe6a3cc3990",
"26162db3d4a6e6172f0b8d1d7ec1f706f9eeb7c6d3b0c2a510d7d0e04fe4eda6",
"1fc0dbbbbdea0ffaf2864ccca1b7e937efadd6987ad73881c5fd534ce2ae55ff",
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"2fcdf1fcbdfbec79a47715a340effb55d042f522b0b86acbd4c2c286d8afbbc1",
"0b11546ba7759df51528a4b9656d09ab5c2b7423ea82ed36d7acb01fe96cc8b7",
"2f3dc23b191c92d0a582a35f19c25831bc60fe3aa228c3e00e70fd371f72e80b",
"17b160611d7b3fbffd972f516d72b933980f325db9220cb1f953f74d166badfd",
"17e5ddf96d4c64ebb06179a3544afca2bae78fc1089031906aea8afae5610147",
"012ae487cf528b8197e4333b56705d7c31c92545607e6edbb0105717f5e33f66",
"03a07c50c596fe0ebae61d554d46b055a6fb0de2da4a5434e026052292ef06ac",
"27d9bc26fda4e6554de6d29b88934c53cae2eaee241ae7be961598f41118a7cc",
"0a772b263180a8fd6c99db42be795b3d2944d4858fd84d307cc438dd82541cd1",
"1ff90c2b7d3df22a1dd77b407e7f499d7ce6c7d5d3dfe360c485b6c49ccefcad",
"0253973b5ebdc95b42002fb7695d51aeb1410ba1aeb24d98fac263963e527daf",
"29912c9332807ec705d49f06c24b30caa6b9cc764dd223510e0fd21faf1aa1e4",
"2c9482d7500b2eb22073cba5e6793b8bdc684e2b979df3b18e340ac27141b147",
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"16150e6cd627f1aab252d573c715c3e132d63d714e232c200a86db5279dc24f9",
"1aa1be02875b4dd93beaa0841dc74dd43b2f69accd3c3625cd28e720fc3077be",
"0870eb40106c6c25725f4e303741257e730098d7d4f7c07155bc89c805f3e573",
"2c174e5eaedc48a0f83b0638038d79d5ce719a7ba41a974f68dc307a4d7df27e",
"1c5f8c2978c5db3c6483e6c59ecfa4b4591f81c346f882166fe1395f09067c01",
"25a5229df981407d38b35494facd5d3be74835427a084bc796046ee533804256",
"14198c56049b0bafe24c1e58227a15dfdc1730f7570a0425cc3f5175078d3b46",
"06f649866a0de8a7127623c9a87e528dea9d7df9a761fd1bbce65bc1dccc06aa",
"1164c0172f7edcf878d89bec7c593dbac32f366f7c26136c219c9ff79fb4ba8f",
"1d57c7d112c7559eef860394ffa55686dc4addc269e1f4763a3a329d85b9203c",
"29c8787c8830fac709c646dbfda04db6ecf9f508e056fb42d9a7efd3bb0a0360",
"23ef9d9c4a48657f835f302dd6f6efa94f21f7d65fd188fe53c540bc7fbb48f2",
"259ff75fdd8a23943f9d9e91e335395223a11bde135182fc543af4763a9c491b",
"1b14061e2f2c468feb62b9ce08729d60a700aad2f37e7aefdcd977243a50f02f",
"2a79870f9070251178edd6c30596db17a75375b7bc163d39cfa97f42bea1e487",
"2920015344e43aa0e279bb8bbd180ad00f80a2d88d7ee3d75f794ea94f788c5c",
"262f785087e1fb1873a803e55d7f1b6e1d31ae6ce6c25ad0a1ce39f3dc870765",
"2f34183f18efd7f36cf92ef3310ea2b5fcbdc68a08ec1246f86ec7821bdd3593",
"24976ddc28c17b43f06aff004f5237fdf5216bcc98656c4cbfd80d2ceb28f5b4",
"1c75ba32a127cae227f83616357be97ccf95559f4e10a202f6f073f6615708a2",
"29a2d25cbda9f5b67fa860e6d42bd3408a8538b9c6879851db68d2a6bcafc02d",
"0aa84212e380e99137636932c0aadb021c2ecd448bfde7f9bba46dbfae9847c5",
"21f78689e3e2585bd2fa23848df576d8ca6a20c1e22ad912ba5e9bd9317f072c",
"293a1159d1c02a6429adbb0da020a819a687ee7047679c3c60d58c3ff98ae3ea",
"1a7d485f430c376e12fc7d1b3613a511822193599e15e0b30d214cb989edd72d",
"148f89c16be581d1dde28de8b229a14509505effd37e672e3f47a90515f0767d",
"03c2411a03c742bb60b08116a2fd8ea86e1cbaa1f6f82b45951801caab0a6448",
"05b054684c6e494317541efe51da10ca76fb31a10452b442e4993814a08b6bf1",
"1ca534bb0ce1f2ae8149ababf167c5491f00edb4b144f6ea92a7d7918b6d4cd3",
"1c2740412825060b5f2a80d387fd83d5023d1be26ba6eb2b0a5d8e90ecf98f44",
"15832c8f5667b380e31a84435232af18e685d784d201faf7b9bbae68c20aca82",
"14d6fefe0a848db15e0baddc508b71614642dc5dca6e267a4c082eedb7f22f3e",
"0c0a1384c660a036ad581bcce6af24ca06f7b647be7fea648cef6355901fadb1",
"24d5243e9dfd338ac19c7a01a6edb2ddfafb256e6b84964d3c50cb3fd8dca48e",
"0a4d7c32d85fe6458c9b48597aa03087ff6ad9a766ae6e3db65e2b23b6d7dd52",
"1db213ff1511c1dbd7f764afcafb3d1ac5811e7a5795fe61f00ab8abad903bdd",
"1665a557b4a74548ceec6f598ab5684f32bcaa867c12e8d1abdd6acee1285792",
"2fd5d39615c3cfbe8ccc5e362e635cfe06c588e9bc0cb1d95c1df71dad1c0b7d",
"100e6f9483e9c38ce0a7fe26cfd8bd1d915a967ef85e9c3126b6f97b8c67ab0f",
"02f04bc9ea7e55f3901d844e427bc348f934f48551eb0b60051f9ee756a6aa3c",
"18bf6a3dc3320590adae58baf410b4367785d21d0a38e1fd8ad0b5ac73ecf609"
]
G1Expected = [
"0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
"040e97c669de7c670d734ca98a3bc5176c8f82aa5e44f9a8780998c22dfa5fb5ea19305ad020d76d8529f57dbdc43f7e77a637f17b2d5db5b06a2554c1151b1255",
"04070eef7bbfe7c9fa76338ed6d6a12b84f61a1a1b5b4d54c009b3993e2262c5fb1f4118919fac6678cb671ccfe5a3ab7ffc42dae56e8f4382ea3e6582ea7fdd15",
"041ce66de558c33edf36b637bd39478e2f317f674e0559025d1e428f37dda84c342e916be0e1e8ab1ba6a9ef642a2f1de44c1f6f91aca23991cb636dbb997cbc01",
"042e8d7e2ab119b53b2e2e5f8ddda2116aa821949ae0bd00a6ee6ebbe130397c0709e07974bfeae5c973c098c6dff65e864ee6ee05e9ccd1d61c8ca72e0c49232a",
"040460253e7e4e9804bdc30e1d76f98d7f7fcb4a6845fd6f9df0f06a18e1a2ebb3066fddd38227281acd80b6b6253f5d89e401918586254edad1a56fbb8544dbbd",
"04130f5f5f20846ffcd6dbfded402bebb7bb07e0a4cb2024bc84262de67498dd7e18dfc445b80fd0a1843d6ddb5ffc16cb8872c373b7adb9fd1b98ccc922318966",
"042849878760819716f11108e902836a72f4bba88eadbe26b5b9f53e75c1f8714f0732eeeaacbbde8dce07be752d413d58538fc11f82a1c434afac5c27760e8688",
"041846eb3215c26d8be94d8cb688f19f59db6c771bc8155d1fff826440bdaf8ce720553790d70aeccfb178e6c33f4331b8cc24e02c8ae8b5a0bb9b57a9c1132001",
"0421f8b0a60f933351788799a7271fce8eb3349b98b1e0dae6a1de4eebba06daed2f966958654ace4bad972296bfd8d3f1568954bec25b665c0fc8f64f1a0c9856",
"04163ddafd9f4677caa2b8feb510a6b0ef09191a00adfd9f09ae3e59d687af8ccb1a47d8362079b22c9064718f02948da7832a8e123b8c6e3730a9e7e137f84da7",
"041ac98fe325a2faf01816da51b3733edb8a13935dc0b82a6fc2667773d09461ce258861533cd79b9ca801a366e40dbf61431296ca6431b51e61adb41e389328ea",
"040dfcd832e70b1ebfc5f07d66ef71e88f1903eb69e25a43e17fcb119305f936a101f6022efdd7bb49bb2f9882d1edb54a618117ac9a213776ee09661dc813cb90",
"041c11d08dd28ed037fb7800988bf9ed0ffe5dea2ee321ba36725bbc2fbda12df82151ba8776a883a4d2fdb5daefb681aed75636db330956b36a795031b238494a",
"0407592e35e3444f61a5cd4bd3b62765ab5d67ff57b88aa781bfc0a14017746f9f2ff61c2caf223a33ea998503491389ec7b5ef2797f9d7bf5b63640cff086bc11",
"040a5e52f3b28b3d8a4eae2332ddcfaeb3300432f9c11409c4388607dfe2a0dd171781fd5e8fffab898a916ee4436f487b7ff9a0a7ffdae2e0f98d6fc1075f60fe",
"042db55c23fcdffc4000befcc40b612d1bc38d8e34ba4c1eb68f7a1446f851630d200c8cc5cf724a332ac366160836f91c086df5c8e023e0131eac51f1c18431c3",
"04283f5279f2bc83c2c0829d1814f066d1828c267c95edc39ad4853c5cb35c02dd1f0f1bfd04a340863a34d8638c0b7c254473da29ec0c0a95fae6a7ccde78c740",
"0401cf54e2dd9c2c97a96b809781114b82aee7d0b9f648d91fe01533062f99fe590037123d18acef099417572bdb041f77ef044b9c3fbef0ef0f9894f9a4061313",
"040b0115940193b2c17fb561c317ed88d5b5bac173f4eacd887fc8de03b9915ce62be17e169ae45579e2f0982b686a611309a8435d1e2f0de9a49c97f72679c795",
"04194e71fb26deed74c5681a0e616ed67135add9f3eb97fba96202539876fe0a642b27a2f7a125e849eca00af763e532d5c86ab650bcded04d47d26d8c6c62c139",
"04001082425143d275f44e16040d7f8922ccdcd77892cd80796a86051f4ff5b2de272e4a7dbfccbd7ef79cae19d0de3a0697adc6cc44d99f014187a99b6c26d7cc",
"041e6b87d81c1af93bacf529258f36145b434b84e843e0963674c529133b7ccbdc09384b95b6c343d8012f4a8b3a1bd6f34142d7688963df85c38369638b1c3117",
"041e34c8d7c0ba039b67537c75939a14fd61598babc9a448cd103601253b93692c1eb61a4444ac063eb1ae75e77df30f69cda5dadc08912727ce2426276fca10ad",
"041cd5b925c2174a380cf78f14a57388711b91c90010c55c0bea173cf77443869f1f7fdb3f0414e61d12589a46d8ae49f95ef9b1bece46a85d2d14d2deed1cbdaa",
"042826a17e76e78d1883003a32e8cabf44ea62087a2ec95ef68d72ed31f0dc0eab11d1fcb397c18539c7ed620a502fba6f4ee19adc17aaf9501b801e72a21c7b9d",
"0425b7a1770cc9e63055969af6b201dc7b6b5c8ac819b6ef82f39d3dec427a41c914b4f4c56c3fd44b34430f2a5cb7ae272c1a6fbcd86a22255db728fcc91d14b3",
"04150f39cb53bcf80d39c77a2a2d52ed7f3e0ce5b576a89981b9d9d6aee05110131ad181c717291b23eb881845ba88903859be7f65fc6e795507574452a03d4e25",
"041555ccb4555301cd5e3beaa6d0b8778a4505b72135567322f9a5a540e3b8a4fa127f16e181d7e3a75a2d944091c78caf9849eb6c3f3b24242c514e42fd30c0b3",
"042349519b9c99cf376534801d42d098b2541903f5fd07e0fa81d71ea68c806f89086bad59e91f4341cef634582513b9359c751e3640c0fa9a205a6bde1fdaf697",
"041033e55052e5ad95302c5dbd98a7be3387d605956d0eec74576a4251eb58f4da2534b51e49ce5768a4bef802e159fe1ffa37dba8437669d4c31292a2ecd24e4d",
"04070ca0593d04d87f769bb59c63b76cc1478fcb5eb5528b2d32ec6294eaa155351aea25fbfd40948c8fd8d202e31c4a1374869cc9eabd991ac2e00f5b2baf4e78",
"041d61b6c3dfba531cea1f35f652f6f94dbdbd1f62c43396dc378f70b6b0990e5b23b161cbce3acc6673a44939abc55b4a86f683e1e8ad4e0aec9e0e991c4ffd09",
"04131d5925f21a50af1da2367abadf38f2dfd9e7257523dc4662d0bacbc0808f130dbf763b7934a0a6224c34de1b4d5a791d88729df242434e0145bb713a38288f",
"042bfe71e528ee56f4c1c6f1c1de11864fe3d67e56b87dfb97cf608a83c4c2f18a2c2383632ed6378da76655cf8a5e151fc692ef5e07bfceb339c3d9504555a47f",
"04058210b550fc16609877b5fc0fb3722a44e77de300ea96de918d913e952f0c401a03daecc90ce916f495fac309acf7c33694a2f77bbbc770384460c2c98fd13c",
"0428ae164d26d0987c3c875e691d78b346d8c32a0aeb6fefe1510e5528e7fe05232a52f102a41d3dda80ec1eac66c6f759b405257bb836eec514b298747129b6ca",
"0422b56318bed36b21b46827b3d39a6a63fd327d84ad09efdd6fd9b7d5bd71c22505fc11eb76fd14c4b5b692723e28c454f7db0a36eace914b2f2c87f9b81e52ff",
"042a3e5a4c98a171667d6caaa396b0ccd03aee91724c0f3349214523861e5fcfa81ff385ef6803e70830ded0e23c2e76fa4d94ec16043290b16ac805dc2ca51153",
"0420be7bffa5976e062a75eae9a4dca83c27207152d8e7301c92bf990e2eddec35166a2963ed3c15a5350c685cf5f9c6580b9b96de49afcd5842344350a9d4d03f",
"0422e11534dc3c78583b6be6a70f21bd3f91b2d65f0776b88e871be1444c5323c21fb10a5e7f3f001a0476a99ed6eef5988d8899916f2e89c1d813a59d19bbdfcc",
"040da396124abe233d7227258003fabf15f50e21fea5c48fd98c805104240a084113368c4132a31a97f20762b7c0fcdda013936649d410ed33575d9fd727fdd22e",
"04278100c505a2dcdb395665dce5b91afb7d458deb9b2e148f63671f8bad4f67910271a00bb8db2441412cbe445219773f4be7b7d628a2123d667f2fca8a05055e",
"042ccfdef921ed73c7c5bfc7e77f630048631e0e1d9dac267a2cc55fd15d9648ed30380375c926c49823159426aaa804e7aae72012d0a10373466c6c09c27ee0dc",
"04016b16f7158ea78ed57cddf9eefee37f652faf139225b23fbbe72fdbeaaa1c5900deae79748f9742b576cfc8936fb1b24c86401e5756457791925764e4088fc3",
"042e27be22937dac068c73fd21b5d70df22a95a7c5fc1902f28ee36f1c1211c46421657c8e8d11664c0dc1d0ea02dc0126e0430448cf415e1d7d2449dca37a06a6",
"040d3b6892d20ddf0eb053e3fb40b71461a35f89212d25b8e6ff4c7b3e4272d5a61e8bb4cce229d8035ca37cf6a9fabf103299ce19b05a2cef38cb0948dee5b799",
"0411d389c11fdc323af24c9e3488abb5064b1b0b312f641c2041572777922525ef26f06bda6216d6310b1d2d9997b1d721b34f8b13c5c9c06fa19badf43da68e72",
"0425f96f8440bbe27602bcbec4ef5ae8d1bddcf2933a915438320c8d652823c9902508cabfce8c45cf54c9598cdf75371b7d55dc73cabf16e0199e83b5d06d203c",
"040d6229b56cc2c4005612bb667790d1e5ef7d7737ed62c31b97b84d6af2e160ec03190f4f4bb3fcb136b89a99f82f4941b1c54a2b3d7224e56e04f9273c0b8d79",
"042fcc98351a49c7137bbcf3644b6961e6b40adc959207dfa5894705da09d3b898028570506c9076b553b9399a488060c7b80c8279fc461ae9e150fcf55d4a42f0",
"0400662d7bf0d66e45ce36e706f3c762933ed4ab09e664a58c557c3323e1eaab67118a6509dfc87dd195a650ab7781c410ebe0fbcaf1f462ab4f7966cfc705463d",
"0413aa3bc49295213ae2369d60baacce80e2468b482a5e2a36233d9cac99c2d3f00a22280c564152ef48f9310f91a58658b39624b5d0f44b77f2d7388ed63392a9",
"0418c6fc464fc1098293f4bebdeda8914e3eac056daa6c6fb9f0178750810cbf8d22f99251d98ea9e8b737863c65534759143af10ed2c83067b6e9b4a3dd713672",
"040edf342ebb44b3f2f265e649376826fa04ba65e7d3800201066ed794f30b6ddd14c36e6cbb4125b46131f589e32d766f57fd36c34359f58b104e96a81473e2fe",
"040d668b047386cb0acab1550b0c1afbeff2536de23a689bf1e129bc2ac61f6fd51f69419fa97ec0382f147232ed59c682df6fda581e2d2009522264fa67e213dc",
"04283c1e0f0f38a5728c609b5e1ed6192ff14130c1d47245e1c26762566a4e93500553b00c7ad4aa30ccb8c2123cedb190c3d26630430071914b51800b06e88597",
"0418799821c0ff5eabbad869f09253e0a7fd4b3e7a55aaf549b3ee84a9a198af4e2aab3995cbf05b1f4bd826d04f2f51052b620cccc2a3c22b83bcef70a1e64c73",
"041258ee1a09c598dbaeb9955644fd23f4fc6328f1675c0ad6c847e338e72d086f16e0e91972ec2d221d9c08269298ab19fbb0cf7007e56936fb8b665af0c936fd",
"0410bca800784c7b06518136ac6593c81187a36283a4164d2c827ad02f49610fd9137495b1e03a5c3e7d7d7980b16d6fd99baedce9cee07389066f0c68fc68d444",
"0429e65fad8bdbb365d8001660da7e46c40e6b15c38e69066e1d7343e6a1b2cc9d248e0bb624695732a765f71e95022aad7b2961a8108e258b4da9273983450c93",
"040a9bd379f4bf47075c922d7b4ead1f508c34d6ca473f599bd552c5858db58f8a05d0415d73bf2de7449651e777c3a06c73755a6a8881561e9c11e9c030fb97ef",
"04127e9fe4f365ce4fabc527f22e215fdc95ffa8f43c2423fec2421c213e46dd0a001304a6ca915ac381d1defcf09faf4dc6afb9fde0983f5014a7185ab8a7f855",
"04032f66d5cc0b6dc7c27cc507cadb19bb840b8c6a12478c439ff2a8fc1af14a4e19fd2ef95cd96eac5d16a8d0bc91c3f68b4f481ad31e5d422f91b5855dcbd1c6",
"0429af69da99ef4ed6d4643177a965008880a352e1cd65097baa5ddc68c0729ffb0b166d20c0cd537d0334b0151a16c4a84ba7ac5dafbd802a765d3a69fb50a18a",
"04023855247b32407f9a5bfbfcc7733e37b1a4532cfa25bf013c93bb36042cd6a612c41afa730d0f79a56b45d5b31260c79f0e8406e7326cc64a5ba6a414988f6d",
"041d590dda59ffa35ee80b36b9ef648a612371f969f9fd2e090f6a7bb06fc243fd1287c81725da751779a0a27ccdf7319dad0579b36ec50aa23af7f54b5948df3e",
"041c1b3fb17a7ca5372d347b1148f674a7bc53e24dcc7147cbe057735bb7b1e8601aa4254d52c25d0e58cee341ff330bbc2c1df303c3ad6846e2da4a4c9b00e620",
"04037760bf6086d972002ee9b0122cc933765c20c51f08c7253b40df056a74a3bf2f81e7da90dc63cf09bfa0c249f3763741bb2d7b4a45033774abe451eaa3df54",
"0409502fa9818247c38d09ffd257915d9371a4be3c957c6d490548726faed2d64805fc11694e318e19f342221696736184dc33a41fef436e237c084b45277cb24e",
"042f55cd2a97b83fa8a4f0fefc89f1c72a49387595e98ff0cfe2ab19b30f4986ec28fb033ba715a19674c95be4946fccbde8ec8575d76fa9c2436b84dc38ba9e34",
"0424b087bc584dfe89078b53b5f5ff46c46469143b83157495812ba1ab472502270d009d7f3efc72c50ddfa885ba63535d4b5b252861aab4b69f5b9f124a09db20",
"040214dd33fd7456040855bcf76c0fad63483dda6b16bf7ee4dff4c9f2b9e57eea0acab70e80260581971d5f4f89c7d2a4301d7861dd4afa79384601fd6be7c204",
"041288e052afbafb93b9dc4f27cf1b784964e75f53d8fc6a745fe80f6be21a89fe1b2937ceb73db1bc37377cec36d4923cb90d13e7f266c820e0f1fa4eccff87be",
"04083437a88bb12b190ea01231bd7a8bfcab248718102d7aa57898dd3c5e05bc97040af4ce25a856774c0787e1a4ff1a570e59cb4193d15c0df1c30f9a07b058be",
"0416f6496b027c9075d10480283802830d5a3aaa9b9757313ed892fef671da7fa405807d9578f0b3ceffc3a3da85febbd1fa050cfec1d73fe75881d0bc86cacb56",
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"04231d053240d7dd683ac4197f147d3f3456fdae9e275b5d5ec70f49fcf32d84752abf113de9b0b66f8216824484dd77abbb28490e15fd1e996d72ea43078752ac",
"04067ea7ab3c7436c0e5e599aad6ac93a8da911d0b0c8a4dd675514cf38c2b26bd1d5568576f01af2c14af20512a1562fd99c4964ba8a6b87f050ed48a0d651a3d",
"04022ddb868647dfd693233aac44a9118c48c03bd625c7282e785ec39cbac810660da0f9cf03835c77517478b6da2f3588dcba969b8c7e0eab53a20bcabf094f8c",
"042e6c41d5cabd81dc0cae667747f8f2a05c1f05547e0a35538e68ef8d6821e1440a39d78cc2608cfaa1899eb9b7e365595f0b1130af5baf63029ff7e10f814c8b",
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]
G2Expected = [
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"0404c5e44995c156973bbc9c517c2954432c98e22b9d8af8129c4493bbb959f1f43ed22744e62bacec5e12b5197d83766ecf9d13ddd439b54743c20a7b2268bc4805b8e51bdd262aa888b3a952241dea114cc3916071ca74cb4322da083ac8b7643cd9bb38dcc060c32db060714fa18880be40501dfc80b6c6e66b4ea887c22631",
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"0400943766f49fe196008c3774b3e85f11f2d5de21e70dd6bb3531d62ab0fbc28c9cd88ccb261c74c4676fbafa12f4ab3a0be81307a3f25af502fe65f76c201048048ae051920ec0893a6dc088e5a3a5feafa37742aaf8a7bafa9901875d2eaeb6b61050f181b8a4245890e0d4769640672f134e2f55a1e39cda86a1d0fd608205",
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"0401245587771001170fc5719351e07e4bf057d4e252d74400d4459b5dd3aa5bf83ddfc92a52d9fe272a4d80026a3cfd8d51a99d6539aca0a81853e546cf69880d05dfb34a92dbcacc93d0bc7ac14ce6160f1c7ae1eb90a5a5b2ea9dc0b08988548c36035b96f5d1b0ee3a27e31fd67be2e2660ea147cf5259f0f53c5bcd12028e",
"04078ff17a4bc3a7909f3c69608098e6b0349aa06f00c14b3792cf3f265fbca5aecfef5e13765bc0009287aec2dc1a256eeb42fea3025e46e5fcda69f3ffff92c30694be944fa5ae003d43b22afe2ffda7ddbf7203dbf4f0fd6820073d09003aed09e7902f5da323324794de5ea50f0d8c7b51faae8ce38e71f2bde6866e414734",
"040529097389635c4e90b8e30f60e2585d03792a40266407695bf3b7b166b6f9bf8263357f88d876cf5f5325fbfa4d57af5b47c7b1ed35a7c527047e1b0b58c4fb010efde8d4cf72c287cbe05e581326cfd941569c032e92939d2b4191fc11d5fadeb390f3a91fcbdecae2d573bd8a16120791b57f799ee38605abb75c485b584d",
"0402eb93ecdffcaa648ae0e4b375696a7403154d86dce7f2d3a925a243e434672a5d7d9994ee3e51fd5cc5a48494d5ccabc9c25b3559dee8a8e35d90b20925479e07a029d8d13ab4f2e22356de1f3f67c0da42978fd671c8e24cde91b37eb5d1c036a56290f30ab97f8a9a33cfcf9cab48daff50f29698f7907bb15534b1579089",
"04032e31a72fdc6bf42b68ff6f69150aabf7bd36dec483600cd3b565e1978d435b0cd619a19ca13a0324937993327d94c00eede436d57b9a7d48dc0f0000f4b6e006363e2fa85594333dbcc23a231bd45f97df7e032ee4098b66856a39a29e4f920c3e94f719f2699ee349730f40ef253f3cf870695cdc7d20897e92b4ee363b38",
"0400747802b3320c59277e160f0823a99f2c54c74f807bda42f19ff38ce29ea31cbdc4614c9ff6918a671932d525ced8a3a1859f8160b4fb47a0d3a18510900565050aeebb42a67fbf197550f1d17feb4ba256284585bfc4ffb23c337ad6213f5da6a306469720f015f9663f573b58b59c4d6a76fd2bed2c0f5f1d4790fac9e139",
"0402dfa63145db142c1589d42d92e361c6d27ff850148f87bc09f9a5f72d0f5cf6fa89258f468445dd949d191b96ea55c0c8820bc41924151dd568a030dac5195203745d3c81bbb423435aec273fce1ec1f457de9f8b2b24545c7e106c7bc692202ae6ea7b89ab5659463f89c18615580fbb9e2471b026415b37759343901ec524",
"0401b70bf655e8e5f39acb834676f368609b8214d6bdcf7252f221b09421898aa4640fd711db34d2ca76251a16e1e3836243079b27e352db6f60166ad85269f81603bce48027401b2ccb2f174bcefa6420349838a3979327690fa12733107078e03443e1e5bf4eed8c9be4be35f09a55d631cacb621b04241b13978f7d97768b54",
"0404654b5ceb4029cae57b1fe1e595ea432a5edf815c18f43f16e4ff05fba8fd31cf41b11ff4e00cbaf099bcf170b47e23be995dac6bf7c5c173f3d4d4ceb7f6a2050fdb08032c5e91b0a2c531330264ee75d4ed6fce30f35b4b2674996ab3bcdac82c3a7ae6c2c34dec1256be8b4c78b57d832fe4ce8236a57c64f0c8a536c7a0",
"0408e386ab8e32af98c8fc1a7212a48291d309181150ed90c3d1866cdd4bbfd35d93a8ef37ef2ad239b65d1f46446f4de37cd64abeace7e45d93190db348102a3f07b6691c6c75438d5617f59af8ce33cd3639d1fa9b1aab6ab2f04a255b684556b2a8bb2c5edd92ad82ebc94e808752227cde7c8bab970119d2f36a13d5cc0d07",
"0406c6ca39659139e0dd9e257c56f95b03c6b93dce0da90de7cdc71bc01e721c7ea1562913c7ea207eac6808c394628de85e720f3f18d71ff36133753859c58054061020c407ccb5865137ab23d1fff6e8d064d45783a015fa4c6250bc3c07784e9b657bd972d56b8311cf56e30a2fc8145ceb656b285dbf14917f206165c1bd2d",
"0400d31dc557bba2ca2526bb4409b5d1ecad9c77e1a5b7b39f0fc1f1a602d257e9f874c0ba04bd0527822e54e19924ea4067c8589927181811d18864fadf152f0a0158c8d26e97ade66a32ec3d164980ee3fc647b9c7077d7d50b7d084ec77477b5fb412b7bfbea628e2d171b0b8c100d5aecb747ebf2281f6b114e0e9e5daa4dc",
"0402019ad8dd796757f4273cd1567a1341efda4d2c9131db4c38048d232a9672897359e5aab18f42423ab47ff09f28a89e551097aa1ece35b98c8a5fe8ddd33a2e03a7e8487d3ce19a2ddec76d71c14eea4a40dbf77094cfc1e2dd85b38e790519ba62cf66fb814ac5c968322d5e71fc78162e6f59ca4e04834456c2c791dc6d38",
"0405150ccaaee1db53f4e1c0ea58605a54066225a7fc23ae791ad0146b542031fd57ba29e4ee15182586b6df694f9739fa7fef7b00af88c19ccf872d2c66d53a1108f56e65b6600a97ae0ef1a4857b08279b0204dfd2ad813ef5c34e6bdfe27fac8991bf3806f05f0d035d44226178dd216219e7e18b129d3709c58db179001a9e",
"0405a9c9dbc173bc7b6c232c48441ea1c4930a0371e00fa244b38107908978491f905769c86aac0f84800a617376eb2e1815c41d2dce4fee44b7c61565e13a2cdb040046d3dd09566d83190f9a966c84c8b0289f304737fb48cf9ee6c955c781bc0fcbaa1f136c04f5b146f8785aacd69a967309b2f69b8488bcc830675c8be3a1",
"04020bb3383933332a409fb39ca5aab2ccadb68681eccf43530dcb63f9cb3743473fb7f81c098d0a86e30a259bf3fa3c6be71b547f1e754e40ca0501b0bea07d44045fb4e63e8005790237cb3cf3097d8e1f76a649b4da577bf6f7f1521ba36edeb9c5a530407e19519b79f5569afb15313fc8556afb05e64df2d141a3a54bbe4a",
"0407682c4d8ded1e378053cd099af83d6b78b95d3d8db8c74a1502e4228bbc553a2f0be6b30510b54b95847102b09d0c3d9d29b8304cbad607c8c38b58b239e1130292336e90b0b012ef16c0b5aff27dddb45802aa957610476ed64a731e9b0e24279198575ccd0c176fb41942f13f7eb71551160135c9914542ae5942a8385e91",
"0402d45fa6ad245038e2e474c8febce5e0d483bf0fe9da58e67fd29eb0aed9278900eea9f109f0961bef25d9a95b06247b2c8b743257a45fdaaa43f3fab9e7d5c103d9c7e52ba0c1b9c31fd288cf84052a28bc22f277c11ce072ef7c65d49798ccfd81b41595cd0ef89ab1604371e399a00dde3308ca8ee8074d71e92fd95bdc97"
]
when isMainModule:
suite "Test vectors suite":
test "[FR] operations and serialization vectors":
var acc = FR.one()
for i in 0..<10000:
var num: FR
var buffer: array[32, byte]
check acc.toBytes(buffer) == true
var chk = buffer.toHex(true)
check:
FRExpected[i] == chk
num.fromHexString(FRExpected[i]) == true
num == acc
acc = acc * acc + acc + acc.inverse().get()
test "[FR] invalid representation vectors":
var num: FR
check:
num.fromHexString("30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000000") == true
num.fromHexString("30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001") == false
num.fromHexString("f0644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001") == false
num.fromHexString("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000") == false
test "[G1] serialization edge case vectors":
var num0: Point[G1]
var num1: Point[G1]
check:
# zero point
num0.fromHexString("00") == true
num0 == G1.zero()
num1.fromHexString("23") == false
# point is not on curve
num1.fromHexString("04177cedb64589bde7a64ad24f89bbb8c9f05535810865aaea8fbf8184ff9e120313500226b2422d2068614d1c8c7146c806a97743e78d9901748a9ded08ea9e5f") == false
test "[G2] serialization edge case vectors":
var num0: Point[G2]
var num1: Point[G2]
check:
# zero point
num0.fromHexString("00") == true
num0 == G2.zero()
num1.fromHexString("23") == false
# point is not on curve
num1.fromHexString("0404d4bf3239f77cee7b47c7245e9280b3e9c1182d6381a87bbf81f9f2a6254b731df569cda95e060bee91ba69b3f2d103658a7aea6b10e5bdc761e5715e7ee4bb01b4c328f0cbdb4aada63b3d09100d792376b94d07a6004e46054eeec849e8de9835158a11d28483dd8db236ea49f3630edc9e41944e494c5aacfc36af3b66e7") == false
# out of bounds
num1.fromHexString("04ffd6a64a62b843a22c6250eda2354d603e74c30ed0b1435951c3f7dd541538beb8a43915823125c6bb89aece89125664ce78ca69b81cdb8164b40eb2833560b606e11258ce33c4076eff0d5824f210466b588d324b60ccd5a2b7f180f9a7cd7f1ab564ddb03b1b684ff4315acc6eef5229d99fe107afaea83a5c72f2b4c33aca") == false
test "[G1] operations and serialization vectors":
var acc = G1.one()
var by = FR.fromString("23938123")
for i in 0..<10000:
var point: Point[G1]
var buffer: array[64 + 1, byte]
check acc.toBytes(buffer) == true
var chk = buffer.toHex(true)
check:
G1Expected[i] == chk
point.fromHexString(G1Expected[i]) == true
point == acc
acc = acc * by + acc
test "[G2] operations and serialization vectors":
var acc = G2.one()
var by = FR.fromString("23938123")
for i in 0..<10000:
var point: Point[G2]
var buffer: array[128 + 1, byte]
check acc.toBytes(buffer) == true
var chk = buffer.toHex(true)
check:
G2Expected[i] == chk
point.fromHexString(G2Expected[i]) == true
point == acc
acc = acc * by + acc