ysj/vendor/simplito/elliptic-php/lib/Curves.php

<?php

namespace Elliptic;

use Elliptic\Curve\PresetCurve;

class Curves
{
    private static $curves;

    public static function hasCurve($name) { 
        return isset(self::$curves[$name]); 
    }
    public static function getCurve($name) { 
        if (!isset(self::$curves[$name])) {
            throw new \Exception('Unknown curve ' . $name);
        }
        return self::$curves[$name]; 
    }

    public static function defineCurve($name, $options)
    {
        self::$curves[$name] = new PresetCurve($options);
    }
}

$sha256 = [ "blockSize" => 512, "outSize" => 256, "hmacStrength" => 192, "padLength" => 64, "algo" => 'sha256' ];
$sha224 = [ "blockSize" => 512, "outSize" => 224, "hmacStrength" => 192, "padLength" => 64, "algo" => 'sha224' ];
$sha512 = [ "blockSize" => 1024, "outSize" => 512, "hmacStrength" => 192, "padLength" => 128, "algo" => 'sha512' ];
$sha384 = [ "blockSize" => 1024, "outSize" => 384, "hmacStrength" => 192, "padLength" => 128, "algo" => 'sha384' ];
$sha1 = [ "blockSize" => 512, "outSize" => 160, "hmacStrength" => 80, "padLength" => 64, "algo" => 'sha1' ];

Curves::defineCurve("p192", array(
    "type" => "short",
    "prime" => "p192",
    "p" => "ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff",
    "a" => "ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc",
    "b" => "64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1",
    "n" => "ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831",
    "hash" => $sha256,
    "gRed" => false,
    "g" => array(
        "188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012",
        "07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"
    )
));

Curves::defineCurve("p224", array(
    "type" => "short",
    "prime" => "p224",
    "p" => "ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001",
    "a" => "ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe",
    "b" => "b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4",
    "n" => "ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d",
    "hash" => $sha256,
    "gRed" => false,
    "g" => array(
        "b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21",
        "bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"
    )
));

Curves::defineCurve("p256", array(
  "type" => "short",
  "prime" => null,
  "p" => "ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff",
  "a" => "ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc",
  "b" => "5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",
  "n" => "ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",
  "hash" => $sha256,
  "gRed" => false,
  "g" => array(
        "6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296",
        "4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"
    )
));

Curves::defineCurve("p384", array(
    "type" => "short",
    "prime" => null,
    "p" => "ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "fffffffe ffffffff 00000000 00000000 ffffffff",
    "a" => "ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "fffffffe ffffffff 00000000 00000000 fffffffc",
    "b" => "b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f " .
        "5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef",
    "n" => "ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 " .
        "f4372ddf 581a0db2 48b0a77a ecec196a ccc52973",
    "hash" => $sha384,
    "gRed" => false,
    "g" => array(
        "aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 " .
        "5502f25d bf55296c 3a545e38 72760ab7",
        "3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 " .
        "0a60b1ce 1d7e819d 7a431d7c 90ea0e5f"
    )
));

Curves::defineCurve("p521", array(
    "type" => "short",
    "prime" => null,
    "p" => "000001ff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "ffffffff ffffffff ffffffff ffffffff ffffffff",
    "a" => "000001ff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "ffffffff ffffffff ffffffff ffffffff fffffffc",
    "b" => "00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b " .
        "99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd " .
        "3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00",
    "n" => "000001ff ffffffff ffffffff ffffffff ffffffff ffffffff " .
        "ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 " .
        "f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409",
    "hash" => $sha512,
    "gRed" => false,
    "g" => array(
        "000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 " .
        "053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 " .
        "a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66",
        "00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 " .
        "579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 " .
        "3fad0761 353c7086 a272c240 88be9476 9fd16650"
    )
));

Curves::defineCurve("curve25519", array(
    "type" => "mont",
    "prime" => "p25519",
    "p" => "7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",
    "a" => "76d06",
    "b" => "0",
    "n" => "1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",
    "hash" => $sha256,
    "gRed" => false,
    "g" => array(
        "9"
    )
));

Curves:: defineCurve("curve25519-weier", array(
    "type" => "short",
    "prime" => "p25519",
    "p" => "7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",
    "a" => "2aaaaaaaaaaaaaaa aaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaa aaaaaa984914a144",
    "b" => "7b425ed097b425ed 097b425ed097b425 ed097b425ed097b4 260b5e9c7710c864",
    "n" => "1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",
    "hash" => $sha256,
    "gRed" => false,
    "g" => array(
        "2aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad245a",
        "20ae19a1b8a086b4e01edd2c7748d14c923d4d7e6d7c61b229e9c5a27eced3d9"
    )
));

Curves::defineCurve("ed25519", array(
    "type" => "edwards",
    "prime" => "p25519",
    "p" => "7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",
    "a" => "-1",
    "c" => "1",
    // -121665 * (121666^(-1)) (mod P)
    "d" => "52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",
    "n" => "1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",
    "hash" => $sha256,
    "gRed" => false,
    "g" => array(
        "216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a",
        // 4/5
        "6666666666666666666666666666666666666666666666666666666666666658"
    )
));

$pre = array(
    "doubles" => array(
        "step" => 4,
        "points" => array(
            array(
            "e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a",
            "f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821"
            ),
            array(
            "8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508",
            "11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf"
            ),
            array(
            "175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739",
            "d3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695"
            ),
            array(
            "363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640",
            "4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9"
            ),
            array(
            "8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c",
            "4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36"
            ),
            array(
            "723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda",
            "96e867b5595cc498a921137488824d6e2660a0653779494801dc069d9eb39f5f"
            ),
            array(
            "eebfa4d493bebf98ba5feec812c2d3b50947961237a919839a533eca0e7dd7fa",
            "5d9a8ca3970ef0f269ee7edaf178089d9ae4cdc3a711f712ddfd4fdae1de8999"
            ),
            array(
            "100f44da696e71672791d0a09b7bde459f1215a29b3c03bfefd7835b39a48db0",
            "cdd9e13192a00b772ec8f3300c090666b7ff4a18ff5195ac0fbd5cd62bc65a09"
            ),
            array(
            "e1031be262c7ed1b1dc9227a4a04c017a77f8d4464f3b3852c8acde6e534fd2d",
            "9d7061928940405e6bb6a4176597535af292dd419e1ced79a44f18f29456a00d"
            ),
            array(
            "feea6cae46d55b530ac2839f143bd7ec5cf8b266a41d6af52d5e688d9094696d",
            "e57c6b6c97dce1bab06e4e12bf3ecd5c981c8957cc41442d3155debf18090088"
            ),
            array(
            "da67a91d91049cdcb367be4be6ffca3cfeed657d808583de33fa978bc1ec6cb1",
            "9bacaa35481642bc41f463f7ec9780e5dec7adc508f740a17e9ea8e27a68be1d"
            ),
            array(
            "53904faa0b334cdda6e000935ef22151ec08d0f7bb11069f57545ccc1a37b7c0",
            "5bc087d0bc80106d88c9eccac20d3c1c13999981e14434699dcb096b022771c8"
            ),
            array(
            "8e7bcd0bd35983a7719cca7764ca906779b53a043a9b8bcaeff959f43ad86047",
            "10b7770b2a3da4b3940310420ca9514579e88e2e47fd68b3ea10047e8460372a"
            ),
            array(
            "385eed34c1cdff21e6d0818689b81bde71a7f4f18397e6690a841e1599c43862",
            "283bebc3e8ea23f56701de19e9ebf4576b304eec2086dc8cc0458fe5542e5453"
            ),
            array(
            "6f9d9b803ecf191637c73a4413dfa180fddf84a5947fbc9c606ed86c3fac3a7",
            "7c80c68e603059ba69b8e2a30e45c4d47ea4dd2f5c281002d86890603a842160"
            ),
            array(
            "3322d401243c4e2582a2147c104d6ecbf774d163db0f5e5313b7e0e742d0e6bd",
            "56e70797e9664ef5bfb019bc4ddaf9b72805f63ea2873af624f3a2e96c28b2a0"
            ),
            array(
            "85672c7d2de0b7da2bd1770d89665868741b3f9af7643397721d74d28134ab83",
            "7c481b9b5b43b2eb6374049bfa62c2e5e77f17fcc5298f44c8e3094f790313a6"
            ),
            array(
            "948bf809b1988a46b06c9f1919413b10f9226c60f668832ffd959af60c82a0a",
            "53a562856dcb6646dc6b74c5d1c3418c6d4dff08c97cd2bed4cb7f88d8c8e589"
            ),
            array(
            "6260ce7f461801c34f067ce0f02873a8f1b0e44dfc69752accecd819f38fd8e8",
            "bc2da82b6fa5b571a7f09049776a1ef7ecd292238051c198c1a84e95b2b4ae17"
            ),
            array(
            "e5037de0afc1d8d43d8348414bbf4103043ec8f575bfdc432953cc8d2037fa2d",
            "4571534baa94d3b5f9f98d09fb990bddbd5f5b03ec481f10e0e5dc841d755bda"
            ),
            array(
            "e06372b0f4a207adf5ea905e8f1771b4e7e8dbd1c6a6c5b725866a0ae4fce725",
            "7a908974bce18cfe12a27bb2ad5a488cd7484a7787104870b27034f94eee31dd"
            ),
            array(
            "213c7a715cd5d45358d0bbf9dc0ce02204b10bdde2a3f58540ad6908d0559754",
            "4b6dad0b5ae462507013ad06245ba190bb4850f5f36a7eeddff2c27534b458f2"
            ),
            array(
            "4e7c272a7af4b34e8dbb9352a5419a87e2838c70adc62cddf0cc3a3b08fbd53c",
            "17749c766c9d0b18e16fd09f6def681b530b9614bff7dd33e0b3941817dcaae6"
            ),
            array(
            "fea74e3dbe778b1b10f238ad61686aa5c76e3db2be43057632427e2840fb27b6",
            "6e0568db9b0b13297cf674deccb6af93126b596b973f7b77701d3db7f23cb96f"
            ),
            array(
            "76e64113f677cf0e10a2570d599968d31544e179b760432952c02a4417bdde39",
            "c90ddf8dee4e95cf577066d70681f0d35e2a33d2b56d2032b4b1752d1901ac01"
            ),
            array(
            "c738c56b03b2abe1e8281baa743f8f9a8f7cc643df26cbee3ab150242bcbb891",
            "893fb578951ad2537f718f2eacbfbbbb82314eef7880cfe917e735d9699a84c3"
            ),
            array(
            "d895626548b65b81e264c7637c972877d1d72e5f3a925014372e9f6588f6c14b",
            "febfaa38f2bc7eae728ec60818c340eb03428d632bb067e179363ed75d7d991f"
            ),
            array(
            "b8da94032a957518eb0f6433571e8761ceffc73693e84edd49150a564f676e03",
            "2804dfa44805a1e4d7c99cc9762808b092cc584d95ff3b511488e4e74efdf6e7"
            ),
            array(
            "e80fea14441fb33a7d8adab9475d7fab2019effb5156a792f1a11778e3c0df5d",
            "eed1de7f638e00771e89768ca3ca94472d155e80af322ea9fcb4291b6ac9ec78"
            ),
            array(
            "a301697bdfcd704313ba48e51d567543f2a182031efd6915ddc07bbcc4e16070",
            "7370f91cfb67e4f5081809fa25d40f9b1735dbf7c0a11a130c0d1a041e177ea1"
            ),
            array(
            "90ad85b389d6b936463f9d0512678de208cc330b11307fffab7ac63e3fb04ed4",
            "e507a3620a38261affdcbd9427222b839aefabe1582894d991d4d48cb6ef150"
            ),
            array(
            "8f68b9d2f63b5f339239c1ad981f162ee88c5678723ea3351b7b444c9ec4c0da",
            "662a9f2dba063986de1d90c2b6be215dbbea2cfe95510bfdf23cbf79501fff82"
            ),
            array(
            "e4f3fb0176af85d65ff99ff9198c36091f48e86503681e3e6686fd5053231e11",
            "1e63633ad0ef4f1c1661a6d0ea02b7286cc7e74ec951d1c9822c38576feb73bc"
            ),
            array(
            "8c00fa9b18ebf331eb961537a45a4266c7034f2f0d4e1d0716fb6eae20eae29e",
            "efa47267fea521a1a9dc343a3736c974c2fadafa81e36c54e7d2a4c66702414b"
            ),
            array(
            "e7a26ce69dd4829f3e10cec0a9e98ed3143d084f308b92c0997fddfc60cb3e41",
            "2a758e300fa7984b471b006a1aafbb18d0a6b2c0420e83e20e8a9421cf2cfd51"
            ),
            array(
            "b6459e0ee3662ec8d23540c223bcbdc571cbcb967d79424f3cf29eb3de6b80ef",
            "67c876d06f3e06de1dadf16e5661db3c4b3ae6d48e35b2ff30bf0b61a71ba45"
            ),
            array(
            "d68a80c8280bb840793234aa118f06231d6f1fc67e73c5a5deda0f5b496943e8",
            "db8ba9fff4b586d00c4b1f9177b0e28b5b0e7b8f7845295a294c84266b133120"
            ),
            array(
            "324aed7df65c804252dc0270907a30b09612aeb973449cea4095980fc28d3d5d",
            "648a365774b61f2ff130c0c35aec1f4f19213b0c7e332843967224af96ab7c84"
            ),
            array(
            "4df9c14919cde61f6d51dfdbe5fee5dceec4143ba8d1ca888e8bd373fd054c96",
            "35ec51092d8728050974c23a1d85d4b5d506cdc288490192ebac06cad10d5d"
            ),
            array(
            "9c3919a84a474870faed8a9c1cc66021523489054d7f0308cbfc99c8ac1f98cd",
            "ddb84f0f4a4ddd57584f044bf260e641905326f76c64c8e6be7e5e03d4fc599d"
            ),
            array(
            "6057170b1dd12fdf8de05f281d8e06bb91e1493a8b91d4cc5a21382120a959e5",
            "9a1af0b26a6a4807add9a2daf71df262465152bc3ee24c65e899be932385a2a8"
            ),
            array(
            "a576df8e23a08411421439a4518da31880cef0fba7d4df12b1a6973eecb94266",
            "40a6bf20e76640b2c92b97afe58cd82c432e10a7f514d9f3ee8be11ae1b28ec8"
            ),
            array(
            "7778a78c28dec3e30a05fe9629de8c38bb30d1f5cf9a3a208f763889be58ad71",
            "34626d9ab5a5b22ff7098e12f2ff580087b38411ff24ac563b513fc1fd9f43ac"
            ),
            array(
            "928955ee637a84463729fd30e7afd2ed5f96274e5ad7e5cb09eda9c06d903ac",
            "c25621003d3f42a827b78a13093a95eeac3d26efa8a8d83fc5180e935bcd091f"
            ),
            array(
            "85d0fef3ec6db109399064f3a0e3b2855645b4a907ad354527aae75163d82751",
            "1f03648413a38c0be29d496e582cf5663e8751e96877331582c237a24eb1f962"
            ),
            array(
            "ff2b0dce97eece97c1c9b6041798b85dfdfb6d8882da20308f5404824526087e",
            "493d13fef524ba188af4c4dc54d07936c7b7ed6fb90e2ceb2c951e01f0c29907"
            ),
            array(
            "827fbbe4b1e880ea9ed2b2e6301b212b57f1ee148cd6dd28780e5e2cf856e241",
            "c60f9c923c727b0b71bef2c67d1d12687ff7a63186903166d605b68baec293ec"
            ),
            array(
            "eaa649f21f51bdbae7be4ae34ce6e5217a58fdce7f47f9aa7f3b58fa2120e2b3",
            "be3279ed5bbbb03ac69a80f89879aa5a01a6b965f13f7e59d47a5305ba5ad93d"
            ),
            array(
            "e4a42d43c5cf169d9391df6decf42ee541b6d8f0c9a137401e23632dda34d24f",
            "4d9f92e716d1c73526fc99ccfb8ad34ce886eedfa8d8e4f13a7f7131deba9414"
            ),
            array(
            "1ec80fef360cbdd954160fadab352b6b92b53576a88fea4947173b9d4300bf19",
            "aeefe93756b5340d2f3a4958a7abbf5e0146e77f6295a07b671cdc1cc107cefd"
            ),
            array(
            "146a778c04670c2f91b00af4680dfa8bce3490717d58ba889ddb5928366642be",
            "b318e0ec3354028add669827f9d4b2870aaa971d2f7e5ed1d0b297483d83efd0"
            ),
            array(
            "fa50c0f61d22e5f07e3acebb1aa07b128d0012209a28b9776d76a8793180eef9",
            "6b84c6922397eba9b72cd2872281a68a5e683293a57a213b38cd8d7d3f4f2811"
            ),
            array(
            "da1d61d0ca721a11b1a5bf6b7d88e8421a288ab5d5bba5220e53d32b5f067ec2",
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            ),
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            )
        )
    ),
    "naf" => array(
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        "points" => array(
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            ),
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            ),
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            ),
            array(
            "ea01606a7a6c9cdd249fdfcfacb99584001edd28abbab77b5104e98e8e3b35d4",
            "322af4908c7312b0cfbfe369f7a7b3cdb7d4494bc2823700cfd652188a3ea98d"
            ),
            array(
            "af8addbf2b661c8a6c6328655eb96651252007d8c5ea31be4ad196de8ce2131f",
            "6749e67c029b85f52a034eafd096836b2520818680e26ac8f3dfbcdb71749700"
            ),
            array(
            "e3ae1974566ca06cc516d47e0fb165a674a3dabcfca15e722f0e3450f45889",
            "2aeabe7e4531510116217f07bf4d07300de97e4874f81f533420a72eeb0bd6a4"
            ),
            array(
            "591ee355313d99721cf6993ffed1e3e301993ff3ed258802075ea8ced397e246",
            "b0ea558a113c30bea60fc4775460c7901ff0b053d25ca2bdeee98f1a4be5d196"
            ),
            array(
            "11396d55fda54c49f19aa97318d8da61fa8584e47b084945077cf03255b52984",
            "998c74a8cd45ac01289d5833a7beb4744ff536b01b257be4c5767bea93ea57a4"
            ),
            array(
            "3c5d2a1ba39c5a1790000738c9e0c40b8dcdfd5468754b6405540157e017aa7a",
            "b2284279995a34e2f9d4de7396fc18b80f9b8b9fdd270f6661f79ca4c81bd257"
            ),
            array(
            "cc8704b8a60a0defa3a99a7299f2e9c3fbc395afb04ac078425ef8a1793cc030",
            "bdd46039feed17881d1e0862db347f8cf395b74fc4bcdc4e940b74e3ac1f1b13"
            ),
            array(
            "c533e4f7ea8555aacd9777ac5cad29b97dd4defccc53ee7ea204119b2889b197",
            "6f0a256bc5efdf429a2fb6242f1a43a2d9b925bb4a4b3a26bb8e0f45eb596096"
            ),
            array(
            "c14f8f2ccb27d6f109f6d08d03cc96a69ba8c34eec07bbcf566d48e33da6593",
            "c359d6923bb398f7fd4473e16fe1c28475b740dd098075e6c0e8649113dc3a38"
            ),
            array(
            "a6cbc3046bc6a450bac24789fa17115a4c9739ed75f8f21ce441f72e0b90e6ef",
            "21ae7f4680e889bb130619e2c0f95a360ceb573c70603139862afd617fa9b9f"
            ),
            array(
            "347d6d9a02c48927ebfb86c1359b1caf130a3c0267d11ce6344b39f99d43cc38",
            "60ea7f61a353524d1c987f6ecec92f086d565ab687870cb12689ff1e31c74448"
            ),
            array(
            "da6545d2181db8d983f7dcb375ef5866d47c67b1bf31c8cf855ef7437b72656a",
            "49b96715ab6878a79e78f07ce5680c5d6673051b4935bd897fea824b77dc208a"
            ),
            array(
            "c40747cc9d012cb1a13b8148309c6de7ec25d6945d657146b9d5994b8feb1111",
            "5ca560753be2a12fc6de6caf2cb489565db936156b9514e1bb5e83037e0fa2d4"
            ),
            array(
            "4e42c8ec82c99798ccf3a610be870e78338c7f713348bd34c8203ef4037f3502",
            "7571d74ee5e0fb92a7a8b33a07783341a5492144cc54bcc40a94473693606437"
            ),
            array(
            "3775ab7089bc6af823aba2e1af70b236d251cadb0c86743287522a1b3b0dedea",
            "be52d107bcfa09d8bcb9736a828cfa7fac8db17bf7a76a2c42ad961409018cf7"
            ),
            array(
            "cee31cbf7e34ec379d94fb814d3d775ad954595d1314ba8846959e3e82f74e26",
            "8fd64a14c06b589c26b947ae2bcf6bfa0149ef0be14ed4d80f448a01c43b1c6d"
            ),
            array(
            "b4f9eaea09b6917619f6ea6a4eb5464efddb58fd45b1ebefcdc1a01d08b47986",
            "39e5c9925b5a54b07433a4f18c61726f8bb131c012ca542eb24a8ac07200682a"
            ),
            array(
            "d4263dfc3d2df923a0179a48966d30ce84e2515afc3dccc1b77907792ebcc60e",
            "62dfaf07a0f78feb30e30d6295853ce189e127760ad6cf7fae164e122a208d54"
            ),
            array(
            "48457524820fa65a4f8d35eb6930857c0032acc0a4a2de422233eeda897612c4",
            "25a748ab367979d98733c38a1fa1c2e7dc6cc07db2d60a9ae7a76aaa49bd0f77"
            ),
            array(
            "dfeeef1881101f2cb11644f3a2afdfc2045e19919152923f367a1767c11cceda",
            "ecfb7056cf1de042f9420bab396793c0c390bde74b4bbdff16a83ae09a9a7517"
            ),
            array(
            "6d7ef6b17543f8373c573f44e1f389835d89bcbc6062ced36c82df83b8fae859",
            "cd450ec335438986dfefa10c57fea9bcc521a0959b2d80bbf74b190dca712d10"
            ),
            array(
            "e75605d59102a5a2684500d3b991f2e3f3c88b93225547035af25af66e04541f",
            "f5c54754a8f71ee540b9b48728473e314f729ac5308b06938360990e2bfad125"
            ),
            array(
            "eb98660f4c4dfaa06a2be453d5020bc99a0c2e60abe388457dd43fefb1ed620c",
            "6cb9a8876d9cb8520609af3add26cd20a0a7cd8a9411131ce85f44100099223e"
            ),
            array(
            "13e87b027d8514d35939f2e6892b19922154596941888336dc3563e3b8dba942",
            "fef5a3c68059a6dec5d624114bf1e91aac2b9da568d6abeb2570d55646b8adf1"
            ),
            array(
            "ee163026e9fd6fe017c38f06a5be6fc125424b371ce2708e7bf4491691e5764a",
            "1acb250f255dd61c43d94ccc670d0f58f49ae3fa15b96623e5430da0ad6c62b2"
            ),
            array(
            "b268f5ef9ad51e4d78de3a750c2dc89b1e626d43505867999932e5db33af3d80",
            "5f310d4b3c99b9ebb19f77d41c1dee018cf0d34fd4191614003e945a1216e423"
            ),
            array(
            "ff07f3118a9df035e9fad85eb6c7bfe42b02f01ca99ceea3bf7ffdba93c4750d",
            "438136d603e858a3a5c440c38eccbaddc1d2942114e2eddd4740d098ced1f0d8"
            ),
            array(
            "8d8b9855c7c052a34146fd20ffb658bea4b9f69e0d825ebec16e8c3ce2b526a1",
            "cdb559eedc2d79f926baf44fb84ea4d44bcf50fee51d7ceb30e2e7f463036758"
            ),
            array(
            "52db0b5384dfbf05bfa9d472d7ae26dfe4b851ceca91b1eba54263180da32b63",
            "c3b997d050ee5d423ebaf66a6db9f57b3180c902875679de924b69d84a7b375"
            ),
            array(
            "e62f9490d3d51da6395efd24e80919cc7d0f29c3f3fa48c6fff543becbd43352",
            "6d89ad7ba4876b0b22c2ca280c682862f342c8591f1daf5170e07bfd9ccafa7d"
            ),
            array(
            "7f30ea2476b399b4957509c88f77d0191afa2ff5cb7b14fd6d8e7d65aaab1193",
            "ca5ef7d4b231c94c3b15389a5f6311e9daff7bb67b103e9880ef4bff637acaec"
            ),
            array(
            "5098ff1e1d9f14fb46a210fada6c903fef0fb7b4a1dd1d9ac60a0361800b7a00",
            "9731141d81fc8f8084d37c6e7542006b3ee1b40d60dfe5362a5b132fd17ddc0"
            ),
            array(
            "32b78c7de9ee512a72895be6b9cbefa6e2f3c4ccce445c96b9f2c81e2778ad58",
            "ee1849f513df71e32efc3896ee28260c73bb80547ae2275ba497237794c8753c"
            ),
            array(
            "e2cb74fddc8e9fbcd076eef2a7c72b0ce37d50f08269dfc074b581550547a4f7",
            "d3aa2ed71c9dd2247a62df062736eb0baddea9e36122d2be8641abcb005cc4a4"
            ),
            array(
            "8438447566d4d7bedadc299496ab357426009a35f235cb141be0d99cd10ae3a8",
            "c4e1020916980a4da5d01ac5e6ad330734ef0d7906631c4f2390426b2edd791f"
            ),
            array(
            "4162d488b89402039b584c6fc6c308870587d9c46f660b878ab65c82c711d67e",
            "67163e903236289f776f22c25fb8a3afc1732f2b84b4e95dbda47ae5a0852649"
            ),
            array(
            "3fad3fa84caf0f34f0f89bfd2dcf54fc175d767aec3e50684f3ba4a4bf5f683d",
            "cd1bc7cb6cc407bb2f0ca647c718a730cf71872e7d0d2a53fa20efcdfe61826"
            ),
            array(
            "674f2600a3007a00568c1a7ce05d0816c1fb84bf1370798f1c69532faeb1a86b",
            "299d21f9413f33b3edf43b257004580b70db57da0b182259e09eecc69e0d38a5"
            ),
            array(
            "d32f4da54ade74abb81b815ad1fb3b263d82d6c692714bcff87d29bd5ee9f08f",
            "f9429e738b8e53b968e99016c059707782e14f4535359d582fc416910b3eea87"
            ),
            array(
            "30e4e670435385556e593657135845d36fbb6931f72b08cb1ed954f1e3ce3ff6",
            "462f9bce619898638499350113bbc9b10a878d35da70740dc695a559eb88db7b"
            ),
            array(
            "be2062003c51cc3004682904330e4dee7f3dcd10b01e580bf1971b04d4cad297",
            "62188bc49d61e5428573d48a74e1c655b1c61090905682a0d5558ed72dccb9bc"
            ),
            array(
            "93144423ace3451ed29e0fb9ac2af211cb6e84a601df5993c419859fff5df04a",
            "7c10dfb164c3425f5c71a3f9d7992038f1065224f72bb9d1d902a6d13037b47c"
            ),
            array(
            "b015f8044f5fcbdcf21ca26d6c34fb8197829205c7b7d2a7cb66418c157b112c",
            "ab8c1e086d04e813744a655b2df8d5f83b3cdc6faa3088c1d3aea1454e3a1d5f"
            ),
            array(
            "d5e9e1da649d97d89e4868117a465a3a4f8a18de57a140d36b3f2af341a21b52",
            "4cb04437f391ed73111a13cc1d4dd0db1693465c2240480d8955e8592f27447a"
            ),
            array(
            "d3ae41047dd7ca065dbf8ed77b992439983005cd72e16d6f996a5316d36966bb",
            "bd1aeb21ad22ebb22a10f0303417c6d964f8cdd7df0aca614b10dc14d125ac46"
            ),
            array(
            "463e2763d885f958fc66cdd22800f0a487197d0a82e377b49f80af87c897b065",
            "bfefacdb0e5d0fd7df3a311a94de062b26b80c61fbc97508b79992671ef7ca7f"
            ),
            array(
            "7985fdfd127c0567c6f53ec1bb63ec3158e597c40bfe747c83cddfc910641917",
            "603c12daf3d9862ef2b25fe1de289aed24ed291e0ec6708703a5bd567f32ed03"
            ),
            array(
            "74a1ad6b5f76e39db2dd249410eac7f99e74c59cb83d2d0ed5ff1543da7703e9",
            "cc6157ef18c9c63cd6193d83631bbea0093e0968942e8c33d5737fd790e0db08"
            ),
            array(
            "30682a50703375f602d416664ba19b7fc9bab42c72747463a71d0896b22f6da3",
            "553e04f6b018b4fa6c8f39e7f311d3176290d0e0f19ca73f17714d9977a22ff8"
            ),
            array(
            "9e2158f0d7c0d5f26c3791efefa79597654e7a2b2464f52b1ee6c1347769ef57",
            "712fcdd1b9053f09003a3481fa7762e9ffd7c8ef35a38509e2fbf2629008373"
            ),
            array(
            "176e26989a43c9cfeba4029c202538c28172e566e3c4fce7322857f3be327d66",
            "ed8cc9d04b29eb877d270b4878dc43c19aefd31f4eee09ee7b47834c1fa4b1c3"
            ),
            array(
            "75d46efea3771e6e68abb89a13ad747ecf1892393dfc4f1b7004788c50374da8",
            "9852390a99507679fd0b86fd2b39a868d7efc22151346e1a3ca4726586a6bed8"
            ),
            array(
            "809a20c67d64900ffb698c4c825f6d5f2310fb0451c869345b7319f645605721",
            "9e994980d9917e22b76b061927fa04143d096ccc54963e6a5ebfa5f3f8e286c1"
            ),
            array(
            "1b38903a43f7f114ed4500b4eac7083fdefece1cf29c63528d563446f972c180",
            "4036edc931a60ae889353f77fd53de4a2708b26b6f5da72ad3394119daf408f9"
            )
        )
    )
);

Curves::defineCurve("secp256k1", array(
    "type" => "short",
    "prime" => "k256",
    "p" => "ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f",
    "a" => "0",
    "b" => "7",
    "n" => "ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141",
    "h" => "1",
    "hash" => array(
        "outSize" => 256,
        "hmacStrength" => 192,
        "algo" => "sha256"
    ),

    // Precomputed endomorphism
    "beta" => "7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",
    "lambda" => "5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",
    "basis" => array(
        array(
            "a" => "3086d221a7d46bcde86c90e49284eb15",
            "b" => "-e4437ed6010e88286f547fa90abfe4c3"
        ),
        array(
            "a" => "114ca50f7a8e2f3f657c1108d9d44cfd8",
            "b" => "3086d221a7d46bcde86c90e49284eb15"
        )
    ),

    "gRed" => false,
    "g" => array(
        "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798",
        "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
        $pre
    )
));

?>