pezkuwichain/bizinikiwi-bn
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bizinikiwi-bn/tests/fp_vectors.rs
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extern crate bn;
mod serialization;
use bn::*;
use self::serialization::*;
#[test]
fn serialization_and_deserialization() {
{
let mut a = Fr::one();
let b = Fr::from_str("17").unwrap();
for _ in 0..10000 {
a = a * b;
assert_eq!(reserialize(a), a);
}
}
{
let mut a = Fq::one();
let b = Fq::from_str("17").unwrap();
for _ in 0..10000 {
a = a * b;
assert_eq!(reserialize(a), a);
}
}
}
#[test]
fn test_invalid_representations() {
// Fr
{
// modulus - 1 is representable
from_hex::<Fr>("30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000000").unwrap();
// modulus is not representable
assert!(from_hex::<Fr>("30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001").is_none());
// ridiculously large numbers
assert!(from_hex::<Fr>("f0644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001").is_none());
assert!(from_hex::<Fr>("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").is_none());
}
// Fq
{
// modulus - 1 is representable
from_hex::<Fq>("30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd46").unwrap();
// modulus is not representable
assert!(from_hex::<Fq>("30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47").is_none());
// ridiculously large numbers
assert!(from_hex::<Fq>("f0644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47").is_none());
assert!(from_hex::<Fq>("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").is_none());
}
}
#[test]
fn fr_vectors() {
let expected = vec![
"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",
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"22cf34de7b862a2c4874a03b7ce9a9ac8e748e4741a7d01ef7e443430a543b33",
"2fca5ad500e198625c9d542e0d4aefdcda28d246edf9a83f34c57ac1cfe98a34",
"2a471ed73102e6918e55b0ef00822a5281ef0e49b4586cce10ab2671ddf95731",
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"0ac117037c41ac977dfac11e614ff3c1f0604fdf1e934addd96ca426a2d56c45",
"18a0c2a40073a85c4a4cec75dc9e049a18def78960c7429a9c6abc1cde4d1c42",
"229574d27795392985547b551380cda18972a32c2caf87b910746ebda6615ca8",
"1c6f0bc008a80d5d36cf483df553e24ac4f969d7a02f45e93181441d79fb72fc",
"1060b506a53a740169a80954eb5fcfc6b261cfca0c021a8113841bfa2b10d3df",
"23ecc4f3237f76dc81fbbb8e467d253ebb6b4e99b9f2c607daec1bb599a63108",
"2350041950c0d7144e6790f939fa4f2f53165b82e6f5c1c730b7129ff1dd6075",
"179de2653b84e8e5d925b21cf206b9886ffe9df14dd300ef48341707f3a8e43a",
"16c670be2c945714cf9e5b30cc54b846a86ade34ca2f19e95cb9782cd1a1f4f6",
"2a6ac3b3bd2a3ca35792323fe39384b7ba44fd70b8788bfb9a28f0397e6c58f2",
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"0acb5953cf1583df3f5be7fc264a01d561642171ed8ad66cb0750ef84637919a",
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"2ebb685e594b7ae133c381606c8fc1c7a07ec46c653b1d5e73734362bc8cc31b",
"238274a880a47a28cec6660f31ca766e7c024fb458f7e1df5cc8d9f1fa49b364",
"27c5e092fa1ee06da63928770d5ecc7931845869260b3966d6523ea526db2789",
"00dcdcb4cc0015ab8b8bfca1d52e335275b6fb39b58d41c2b30367a104dc2fec",
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"2ea0cafc90188c763ae65f132d3d5c873e4bf9a50ceb079874d1c346ab8fb63d",
"180066c34e34c473953b3e66d98660e733729376074b231198e921d4ae28ac75",
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"274ced6e1efb4148e7fb778afdb6e7a41a5af073df6c43b7103f291efac8ca76",
"2dccf0cb2b0c9165392462712673c4075a99d1f1e3118ffb3deadcda415768a6",
"1d0128b4b0f47f814b2fb6491f03654541725612c465267f02b73ed28074fbc1",
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"08cd18d2188a1b7e7103b95a1b7022cb56f14916b5b5a8b4db2b7305d222fb1c",
"2b0fa450d5c7dda8eb466723cd25e0b762968e52fb8a558225ad2b0b3c9f15e4",
"0fb89c9eb27d7e49d4988722e645714fe5be1fd5d1dd7b9f475a10222aef9fb0",
"2384e79d245f048e6433b04a3c7e527a736c198c67682a23cccc127e0fe341c3",
"240c04ce80bb543b5b9dc19abacc681c8c58778141349e9e3f492515c54dbfdd",
"1b2c3e4505b9325d56c1fe596f839bc3bc023ca08485a3f71f575994e61e4e9a",
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"1fddf00cfacfef6cf8dd5e88e04298fd376934a40938aee523338677258469ca",
"01fd18b9683b1aac8675185d5d06773aaab0e19112ddc9bb63e2c63bcde49db0",
"140899d53f48c9b200a48a8618dda9f24ba27a9acdb63dcf633107feae16fe98",
"0a0a0501eb8fbabf040f420ecad8797db587601e3deab6a01ce4b0d306be7cc6",
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"2c9482d7500b2eb22073cba5e6793b8bdc684e2b979df3b18e340ac27141b147",
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"0179533ed710624344ced7dd685ab4dbce139efd5ea097e8adbd02c32aaac947",
"07b91c56dd39dd5d5de474540858aa9b5cd0d91cad2099bd14befb060f4f3b96",
"2a79af347cb1fa3996755c7f68ad83f86b86ba81bd2b9fa98948cfcef63cce23",
"0c38e0161d3e3d317108e518dc74150f8205fb74083fd47b3b88aafc9d0130cf",
"0d65129efa0b7fe99f91e540166753bbbff12cdaa9b5777208f26ba72a87b52a",
"065923e0aa248690099aa247581f481061d9243cedec15a538c6f3dabc54ed3f",
"209749a7661b281882cd713683824ed6122820968a9552ed27f208a45c2837ec",
"0567e0493586c14d0ef128252f9a20c74602ec56626b5c2f3644fc79a7983a16",
"2a3746ab2d1fd023c90559abcb8c36d3273b3685b7da3332b3162e894a6cbcea",
"2fe83a4aa399397b998bc1bf32a322b69e58244d60ccfb546c013ec9818e1355",
"2cba41b38555075f0caa9773c8f358d018620c4fec64c15142e33bae27ff07be",
"262d890f3c3d9ebe6eb150754a0677d94a64f645ddc813eb87f82418160376bc",
"184043dc9ed8d23817f34010c7689116620fb892ebe7b92e7afeb2dff8203bb0",
"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"
];
let mut acc = Fr::one();
for i in 0..10000 {
assert_eq!(expected[i], into_hex(acc).unwrap());
assert_eq!(from_hex::<Fr>(expected[i]).unwrap(), acc);
acc = acc * acc + acc + acc.inverse().unwrap();
}
}
#[test]
fn fq_vectors() {
let expected = vec![
"0000000000000000000000000000000000000000000000000000000000000001",
"0000000000000000000000000000000000000000000000000000000000000003",
"2042def740cbc01bd03583cf0100e593ba56470b9af68708d2c05d6490535391",
"05f549777735c612f97ae4737de107ce0595b32ccf5ba7ee06a25fa9a2ba0eea",
"2ecf34b8dbbfe5e592318b8cf427541f4c551b51ee16a867e93e39c422c6a50f",
"1260525bab1c9c950c71d326d27739281d924642444eb1e28d89ad86527abf3a",
"1b213b761a8d7ce50d5fd9d49b622cb313616e35a5f63ce76fecedeecd6008f7",
"0b3416313ac7b8a9b8a21ac6f99b79650030ea3734f1bc44f6ddf2b1f165a31f",
"01e1f4b6ad51008b0c5600c5a4bdce24a1b6be8ab5edecbd787e6ff240879d06",
"00e8f6be5da3bf89090b5d67beefe2a5eb2f0d68ce6d1e02e3692cd5096ae814",
"215bfcd121aa7d454bdb580991fb0f243ce34b5f1ec06041c71521ee10947a5a",
"19115c86cbae9fb9c4f61e969fedfbe27e7e75fcfda36d4e3b2a7c709bbfd6b8",
"1572d83ab93864779443927b2242de6cee6ca78aab08b2c7cdea7b3f6a85510a",
"119d10392fe113229b54d55a9ee47e7e0ab76be9888b74063d62ccf9142623c7",
"00d47de4eb5564df4e529261dedc204b225393b21c63b9967ae29453c08b20a3",
"28d4eb92490cdda8f4c4a30dd3b69660976df6f5edd4cc82012a59c7bb36526e",
"28d8ce14a0f33783d491f05664ebcdfc1e190622cd401890c1b9d1607624688d",
"0885337961faf877d85b48f48299c985486f00e6c8713ec81ebc5b24a23983ba",
"14db54281f8da4f1fa7f0afa4b74da72053a7c81855c7cae1325352095b197dd",
"2349b6d2be7e0e4e7eaea80770dffd071e9deab05961f3e56390ce5a3d50d964",
"1975f1de23f5db35731be127435f13df653ec06568547da7623e19acade0e7e6",
"27884e0b76d8b50818c2f2edfaa4dda7b6ae7fcb24a35f99d2e04c53c20fa3c5",
"2a2a0544945290541a9e9d9d7c5f0c05904f410e88b652acf1b962f983a0d733",
"1bf21a5a5d0cab6e45abe913fcf726029f50875c01ac08293aa27c564c90f3c2",
"2adac2a90fe7b3379553d99431db5368e388fa860e6275ec2bcb700d7a93b770",
"0e63c0422577d23028a75ee874f48fe0bc14b6565fe61eb9d1c7f7ce39ac7eb1",
"25c89507ad6897220aeefb7f48488fc9678f2444e4d474e3bbbe2ea51b15f7a7",
"078b71268721c7730538701f69cac167a74bee611d237356aaa81e2f61767451",
"0770f755457fe141f00253a014936da08be114f270cbafc8581c85cbac863a94",
"05f0a185cb2f8fc20d68aafb4252fa2a37493ece0f5bb43af2406e862b983298",
"0782e0657304c6a0c7d0dcde40ff742167b01627fb0bd922f30dde7dedc5c878",
"1530766a98137455233cfb15efe7ca290f85314db58d8b8bbf446cbcf3e2733a",
"1f5fcc3188f33e3cb06ce20a6860ca09335b00f5251c46b97cd28fea4de48e91",
"1707d4a4ee435585f058eac63df31213dc31ecab65b059c247782cf4cd48085e",
"0894a6b8d7ad2f42ca6dc74ed99b683fa90b7b21ff42f02de4ee0f1e2014c709",
"2a9db23063cb0378077748dc8fdc9a8c1a8b60df1f2771d7826a2469a0653ed3",
"076f1d650c6e573f6e514f6fc4f82e7c84d300bcf9b104bdc3ebcb2c1b4acec3",
"16bce4d0c28b3262a881e411bba6fb3fca60c78e6feac147b36df909643ab78e",
"2953930772628ed515b5a027ec6682461d6d5805e1912cf73b9a27de811d81b0",
"1af43181b671e1a31f9b25d24f8e4630e2e65b477b7be3f71e6d5298ab03083a",
"2179f20b570e1d2eecec15d55483df01bae8a620e012d3ce32d2bceacd9830cf",
"0e8a11edea0b665f53966f2c50969e003254ea89f52ac0fb9be3ad4752078b05",
"11e4a771b935751deb8cd87c7c69fbea26eb033e881bc52edd78bf101fd2681c",
"304ea13bff87738f62e5326ecb22a2e1b6bb0eca1c3b088d1823a1fa482284ca",
"13db78213a39e51cae0865bd95f69b72b8ac34c0748b293859072e872801591d",
"06cf3514f813970a3ee0d75dc70d17e0242f10ad6035bc5f3b8b35a2de0a8068",
"13f8c74ccb4d3f84c17ca64e39c9e151dd2cf7c9f00bf536e72980cd75311a80",
"166a9be59eb30dc2c4f8eaf9c37d5094c8e1b2375404211334e06608b710b440",
"09a120454a26b498d77a45779d4fe2ab826f93b2d1c517a802ae2e3e7f853717",
"25f34f924510cbde1fb3d87c88a5696acfb68af12d370c0b1517f4fa3665d559",
"1c4b47c5f9e588c821ef143647b6ce3fef68915329e0116f3f76d46c77b9c331",
"0acb4919089194f5972c1da624ff8401100d8237f68b1c0e71dadb516ca2f824",
"187f1c154441162104ea7965b5d27a10a9b7b528a91d780acdda23aa92f315d2",
"223afa3fc397123fe6d3967052dccc3a04e5e75de5e593a8ece4e0f672c6eef4",
"1efc13b2c11ec0da2e1267f098330d64c9b5469dfd5728e00105273c96f9e0d3",
"168ba1b8734422348cb5879a4aae9562a21e713c7953d67c1f0fbbadd589e101",
"15fb65284fbec31df2f24332eb32a952c52cf4864648cb635d95372312cdbc91",
"2345e115fdad31c8c2b9089eb26d1333f41a87172903e0b3d7a4124b0387f3ab",
"0fc7d5bf552a738d7fafbe04dba0576d113de3224228d82b9eff7ed8e942b4a1",
"173e16f25c37fadf2e56381eb0028a69e1673cc2054ba67864b1f9a66e77edac",
"2da98ec3674ae10c2d0f92e6cafa6fabab34339b3240f665041abd00ddb8aa2f",
"2e7b3e6d73f0d586042b54893443d6c54d4971ccf7e429668324ccf0a263c065",
"059013c25894ff83f179b5cd901cd9d42f8e13dbeedf130eb20ccb158595c84b",
"2f511f88a173aee9f87397ae6bfcd989fa401968ca9b5fce13ff0eba40555407",
"0874438b67acb0a0e64a0c90a6fb4ba40430732c64e2ef025494faedb4da2820",
"0a8732d539929279b1456e0af59b8675c7af3e07644d8a92c5384fd5b939708c",
"1a1d77575dee2df307f2327a99dc65633b73796b0ef2af21da6942e8fd16dc03",
"282b3a33a74ced5b9535bb6fe82566c21f0e52256f77dc4b23e224000bc03a70",
"1a5172f63055afa1a670e089b7d49c48170fb89ad856642ecd9a2e03970e2908",
"2ef049132b2b3d4ecb4676db7f9395f7ce447ea49460fe5a5892490efae2898b",
"2ef146d78d5f9dff1c25064efd8e7e0a1bdcc80399a18561341a58294e23c76b",
"2ce6a25496a9eab487ad96bc833dc183dda5102395c2394f3570f3a90e96d41a",
"13c6115503ea13c0b63d52320c560f1aafa715fc2566adf7e5f4ba37210aec48",
"2635e273f55a3bb4c508c649e1de745d6b9ee9746b48dccf4f08c9d273191810",
"060dc1d65174834b3e98f51922c600bf577e9040ff4e1118fb2cb540606d9efe",
"1e38029a8908e26a1fb88132e601a3cdda459106fb52465e9eacfd83a2b7c459",
"1d622d30ca3f804ae02d907c0fc90460bc72275fcd3dc5b1624e9a0287038a39",
"14b19d523e95dc0208943d3bcee467dccf0eb9b564e6d77046ec7e4624b38a7a",
"2c4c96ec451d55a86aa7b25b422ae3a68e860af0c0fdb5c8b90fd726fa5dae97",
"22f19185dc8be39264b8400f93e1c298c9cdd38a420c5b8d87c3401a6c0cd13c",
"2fe919d2543f16c321b8dcf317df2fc9be2bb24f93811b41c93d5dd21a160c2e",
"2d1bb5ca45b8fda9433ce9ec3c82bff09c996c076eea723e9c3ab89d599ea680",
"0bd64d47f7900b3af16afc2d8293d0ba368ea54f56aa1f547938425ff84c2639",
"2cb8f11a964d3f5c93745a23b7c28ecb0df14c8024a969c69b792b4fa6827d96",
"1135a959bad1c3e8628fe0f5d55fa018f9555d351770868f6979e3a0809346d9",
"125f3f80fd54bf564c7a1c4d0235ab919ccbb6f6afd653e39f710f0dc7e19638",
"288e1b93db9338a87f9162b2ab0978044e2fe7f7b718e772d10ccfde067391da",
"2bf1a17375e218794884f058909fffaf800b8077f57816dec71b08d2db3a7f64",
"25a9c69d857652aceb8ba2704cdd5d8961cf4694b4e89e7055aea583985c6548",
"1d47c1ee35f6ab93bc15d4b1152e431591a284b6008dc49deade7fff2c4effd1",
"29b5852e3ccb455d47860ab9d9e5923a1a66a1860ce8757ddb445c2b12aff9c5",
"2234106ac504ce454c67c95a7f346fccba3326049292d485a9221cae18584745",
"0702048f294a5307517476799642787181b1efba649bd38c4b09592d17eacb8b",
"2a9d0447413d43abcd42e5502358bb342a4b67b5fafb83c0f935a848e82c4319",
"1b1a04731d00b8e78a3156b596ddd8b44014b567fe0a050d05d80cbcd7c388e2",
"2ccc634009e42f1c7902609e4c191f4ce891b8d8f2c398907fd365e925f1dc73",
"29061e82b5a2dd76cd0eebd84459aa56cbcd992406b925bcbbfc93e797973292",
"1c3d69e67f97b7cc5f488a48f7671e78ea361531e22b45dc2dd39d55fc5bcfe2",
"1950814cf01f0d2bf4415aff7fecae415e519acaa92395418b00850f5cf92124",
"1ad752b910ffa646aedd1faf43d3623799eec4e7e6c32857243e5d8598fa4958",
"0792af789f38996fb0f92b4d9c81adcfc955a543a90762e458d43b3474de5a03",
"1a0b1e5ea51c6d2ca362db1a0ab43162380f104b2b293bd7adde8d29de5ef7ad",
"27221fd507dea3f1b07299d9f4e04768f4737b9b32ceebb97ed6112c40809366",
"287da7b8d51f9114d031f6698238112cd32bdc14415a44c97ce38ea27a97bf08",
"01bfe2e88fcb21eccf75c5c2c46c10d93bdafb90f057e32e518349f8366863c4",
"114be96a4c00007f60d76c24184386d7369cdadc3031106389d117cbab36c6e3",
"250ee6d871e7a7bb95650330e8645f6d9e56eb3a8f3d0035c33297abc00eb093",
"08b89feaf1bc2d916dc8bc634c12c7439fdf6e0811af775d2e27076fbef188ed",
"193eaaf269884c1a4eae680e893b53614f5becba1ecca6ddee7c54e0364091ee",
"0ddee0ff996dd9de99a11b1f274fd89ad8458469929969f2fe7cef00acb5c315",
"2a927a4e7988dd83cbaaf9ebd15fc5c721ec69722d329376790ece43048606af",
"1167dcfc80bf5e16857e0b5aece55311494d479eea5b4a00cd900ac165a0ea92",
"0c554ac1f20b5ed8c0455fe6ec0eb1000f3dfeaaf4a42a82b54b645bc97fc168",
"0915b29acd1637d255d83fd375a493b20549d4c0bc5339e45723c8c60acc27f3",
"11cdd08c240eb373d9aa4425771d689d64c94621de50ea3d8de233f00abe727c",
"1f8f762bbdb7aa1361d3feac09a4f302dd5b84f83ac0fbbdf54aac18d94668e6",
"2ca6bf013787d31e303deb65938c2a693a386153652bd246cbe92615ace959db",
"089aafc428d2dfd89d9900c61853c20d8bce991f8b9897612ef58ffb18bf9653",
"0e31271d4934c28f7f5b4893f78e0379c93303cf5e2bd7597085a143b96eec4f",
"18bdc4b6e541294487090bd5b27d184a3341b9a13b0ebd196a2e72041dfb4049",
"0bac4228567e965f514f36de597aa76c7d8f2ccbf24a28dd6b41a82d8c55ae7d",
"2661052ecd6bc850113e8ad4000d6746accb2a280877f0aa8868303bb59e86f0",
"2821ae3f64ec950d3dad7e9fd3d4fa27c0217d68db44e2e8680c4bb9cf8c284d",
"18bfc8c135ffc8dc0716c3da478b29b675e69677ebfb418d4eb828603c8f700a",
"254551c52dd71e5f0ccc7e2c1293a244ff9f9088c5c3fdbcfec90e3817844448",
"0a0651fb8d1176ab2f1ace02bac4dd9300771db0739efd3402d4545d0810679f",
"12e59ce548880245b8c6a1659873a9205f4798ab6d0eddd312f174eab047e364",
"2affcd40193dc4638700e9eda5cb72fe49de2ccd281578c808585aaadaea00a4",
"0f8b53a5b07861c7b9fae244b5e0cd19e2244616f3dd5fc70dc8e3a1f26b006d",
"09746b46da861b549453f52e045f21808ffb3ed4a95046bfc846ac448a960d3d",
"0f9b94f845f5ff7c82882ad5c20071c1da3808d64cbcacbd9ccb7093e281cce4",
"1d04a0140a9ebf6d261caf0a6628bc3bf1c0774b41c5bb13a1b31e5af5a7756f",
"19dee7ec53a89834d3b6fa49307411b513540de9ace666828915ee459f350c9f",
"2dde5647410a41cadba404ff99c754e08a1244b3e0bdb34ad2abccffc8168617",
"11949285821245bf388451b051c7585a9c2965b058e3c53ce95f999fa7b38d07",
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"0bfd8c3e8b8f6783a00c4144cbedfeb3bea4f4b1ea27aa0259261bde8a7038c9",
"0f03e55e734dd95db6b3ec271d018627bae9a1a64878601680dd9d398f52f2f8",
"11f667444d0235d35ea5519fa90b888517f1c5e31128e20a02eb9d9cfbf43c51",
"27d4b6c9a610982e824ea82924d9f554868093b22e95d3f936ec56651af8af78",
"281b5aa07a5e9dac69ee2795d3830743d1d03cd651ef00342b5a41d8202e3b0d",
"076cf00cf46a9ed4a988bd46e5757926ea8d8ddd0e2a64278aeaa1d11a3588f8",
"0edafb755f2e4f206e91d3a14aa58bd8a03b83bdc43d4f3a9f0e80c30bc2e5d6",
"062b8ffd7c22d07d3822ffe9e6691f6151c540d8e75cf33083fd7bc2a8dfa678",
"137684603727c5566281869fc283641dd871103fb93f594537f18b2297d4d086",
"10231174a196c63c97bc37f9feb3a5c296f4d186b64a49de8ec309c9844a3a19",
"249ee995b1743fc888a00d65730bb7b7ddf4a99308baa4c27f7652027c5dcdb1",
"18a1ec352bc5c72a0e25c6fda05defcb828991668e19bdbd0a172a4ee9945a8f",
"1a78e07420ba8d24e0c9dc36890a8b2bef9b8b858c96b9d69b38825100f52e97",
"13fe48ce4e2917ae0038d116fab24cf3dd81c5c0ed8dd22f8b30ab2bd0dea5e5",
"23ff83449e92a5958026679d66453cf6800170004fb6a42bcd824ef5b970aefd",
"1327afc4b912dfe360fd48b05dfacacadffcd34fba95ffce9946bc7cb0020582",
"1429a01fedf7d0904757010f24ce96b775f096f8dc606f95c2114a077b3b6d3b",
"2104c5a1a9f79471ac9bcfbc3ffecc960183cf71683e3487974e1551a1596573",
"1b297851accbb4b353a671ebf08b9dc2205085c71adfc03e3688a0b1743b29f9",
"1b8424ddca6303d0fc74383a2f34e5d8139ad8382ad6eaeb93d7a52fca696448",
"07c42e2266373b775242c13096628c685246ec96d285e09e91ee8441f50a7e41",
"0561e99cd3c4e854cd2664f63339c7da206200e7713b568b2fe81c39df75dd28",
"063d54885ef342ff07726e2a5b3f315db0e53fc43f59f023778c35c2e895664a",
"29f4af2569deabb45b178c5e28125f4bb3116a0e1747e3e1d58f34ea1b54e2e8",
"28616f7eff4c5fa62cce6499a738b9fedff9762806c49d2bf881c7ff3f8b7511",
"10cebf15ee2d227b472d1997ad6466639fd5ca6f65f4ed71c2f4a4e8108fb808",
"297c6892414e902139e823e92be99dea98a556d6134002452b07a67f15c877c8",
"0f3319e9a9ad52a085f937a62b7f7c2c6bfe88043df3872ab177bfc15ebe03bb",
"138093fddee426d16833af982ee7c166aa0e047135a1c6fd588874017a0fab6f",
"16d1ee75be1bc0dc862a40c18a682ea13e11da0d9cd0155f6bf49f4766583fee",
"04c5c01e69b915bfd03c263b1fd92e5dc9047b054050d96e643212fe189ed550",
"12b5c306a0c9c2395d5c8136e0ab2bbc87ddb5208f952c43133e3bb006f163ef",
"2ed3a29fc700319e791423611cb9338f091fc6a3a27dd4149142bef7b8c6a6ae",
"18d0bbd2f7b6549b9a6fd031da5e90c70117b249ecba30324391adfa2dccf40a",
"1d0141680ed9d4c565c23ceb32ef14bb1cc850da92b68b42ead2fff263a50dc3",
"0596f155f08160ab8c1f499b53390914b811c64a8a8d70e5b00a7802e4acdf0d",
"076eb4c9c6ad667ae7dd8b1f76870b67875f1134868da6c48965e80e04125d87",
"1ba8aa1a91d70f2c5bbde3ecc0a8a8ec5eadd9109707bbbf9dc42f201dd7781a",
"0b309588aa15ca721b860e9e16b63e4bc0c9fdbf9f33c803864c2186faf546fa",
"1d26d1b2fa587e552742939e1f7a5c1094284d73ea26300dc0164296d1add353",
"0dd88cf71704e5a22780414827f9d3f901e26a7eaa03bf02fbb9d257459e29b7",
"13e02ee85bb3a1dbd4140760f883735c44a9df7b7cf6fe36ef47cc029243bfaf",
"26b072961338627a467fe65b4d9b840eb6adeb62c880880949506c200b72b159",
"1b99c0d332ed873997650ab60f2546a58c5db89db8eedc577cf360dd05c5a175",
"1d595d764c0920d9b829e486845d24357400a14735b0cdeab09274be0c087f20",
"1f0807972bcdcd4223e8fcc5d9aa66dcb3547763dccf039be8810e36d86b59b5",
"1129abbc9892b557c6cc1bc5e887dbf3bac555fae48d14dd29dd7fe047306cec",
"06fe41202ffcc22a7175c24e1276c68be31fd025a5f7701d7a58e2dea387f3bf",
"11c8c337e529eb09ec48a2af3d260ab53f5f5e1a075080d6a92a29b99b206ab9",
"2d0faba58fce65e3d9f4506917a2e349e6a83d7f240c011d7020479e27e2b457",
"2f4f26f8db0b4bf38398616c1e30563e92c2b3d6273ea31310d6c09327d7166a",
"17745d3a6e217f23fdf7e9b249f9667ca49665c4130661f5ad6ba3d2b9997263",
"2b1cf0745a1fb1b55808db2eccdcd5a075618ae476f231baee9b36f8957e691c",
"23cc30c9d4cfdee0d8a61d2d70bd59b9d37be22c8bece8f7d3b11eece18d77ac",
"2714194c494be47166bc32801e3b7bafa83073f5054d5e39ce9e536d2797ace5",
"1ae0089176f96175631a459a378462df32b6bacc53e06dd95ecc1638d6694e6d",
"15c1bac5b8fbfe6770f6cfba64bc668ba6fa58aa3a0b7886ae97be77652b99c9",
"03b9f1628697c6da5226d87f8f93503f6bdf47aed5f78b6faea742c36fe62057",
"2c828412192724cfdc6af3b165d3d0c0a8c71c4659b3df1b150a79c9ad0bb5bc",
"018b680160db10cbb31241f5b637c06e62fcfbfe58492dfeab1b4e3799abe82d",
"0b535a898c2dbf2a4f65d15207f368185a9c8306ad8e5c5edb86be8e84ecff50",
"29324096c65af5453b3396d4bc3e4027d340bdf010ebb3a24e6468e896147463",
"2b178d913c35ef5f24d35af5c1defd0f525456328267130cd04b0a337266ff9a",
"0427f640bd8e11be9e83acfdedafd4e4b69ae12e663cb9fd447e2e73089a2f03",
"29a30a42fde8bf7f79bc57abff5ba6ac4c4e77993a37ec07f9914c99dd8d1b3f",
"12933a990c79258d28d90e9fb5fa451ba219206ae6e7cd56339b4ac5f6e9c6e5",
"2ca30dc3c18dc52f9e8fd59d80cecfc41c2210163c044a9cfc46a8234abe44a1",
"15039ba21746a75f4052e59167c8fe61befa3c228b67688926692ae34a8f8af9",
"0d013043d7f43c1c3d7aa1e9771d4f38eeee78d6992f2a84a7c64c20632e54cf",
"24770a0fcfc79a72d55c7a7f90d1a66494c745643aab2a08b4b47562d643a4ce",
"00f5edbb6253299639f0e366835edff5a941a1e29c954571283455bfaf94c0ce",
"28d5f124104d0ed06f3225e41b28bb431e7271e383935f708e558ba5d05bf667",
"00b8c2bb4918bc3a3bb76636f0a1173374c803aadb1003dc414a5fbb46e81174",
"08d20b914f6a7b4115a092b4976ea22ecea0ae58cfdf1679320b6b6bae9152c2",
"017b4defb2cc581e394d666ea82c4b09e56b57a1b503c8a29b2053b5c4b49a15",
"0591f82cb330a66704560c33f4189e8395e2646d0e0bcc8afae9d061dd928cbd",
"0d45e88a959bdd51c13a22e35cf22e30d9ef425fcca3aaef605e6359a0e7bcb2",
"15d320a4187dfe9ddef4378687932e16ff24583e7f9872855b566cef8d6fa00f",
"05cc9867eaf7a58de61bed98fea0df793ad0e6b9224a3566cac59ca647de5fe4",
"14418f317207f95eacc37db9e6bfd42d2594abda2e09e4d8bf853366453431c5",
"045456a3b2f901ba8a4cb79701218c4cad120a11830d7ce95f33130a0d994aea",
"1ad7a2c79c70078007734dc96d3647224a8e51bf7be88fdbd9e7dd12a65846ea",
"289469ff983ad3a6b33ce1d25435381344d13a3dc7b0b15f15389dccb078ecea",
"2da5ecce164e53c79a705da5ec8d46efdb8fc2fe102ac7e4307cf8c9f71540b7",
"19a4a3a81f818d5cd64a8858047f7312e16a074ee00a5730f07f35b611a06d8d",
"140239abfb94dbe1c517b537c230e0e36b15e6ff28e249d1573e412d2e6392c1",
"046ff7e86f24a11fb0e200a979f7c7a27a4dcc114a368fd618153b68c37e35a1"
];
let mut acc = Fq::one();
for i in 0..10000 {
assert_eq!(expected[i], into_hex(acc).unwrap());
assert_eq!(from_hex::<Fq>(expected[i]).unwrap(), acc);
acc = acc * acc + acc + acc.inverse().unwrap();
}
}
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