| // The MIT License (MIT) |
| // |
| // Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file). |
| // |
| // Permission is hereby granted, free of charge, to any person obtaining a copy |
| // of this software and associated documentation files (the "Software"), to deal |
| // in the Software without restriction, including without limitation the rights |
| // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
| // copies of the Software, and to permit persons to whom the Software is |
| // furnished to do so, subject to the following conditions: |
| // |
| // The above copyright notice and this permission notice shall be included in |
| // all copies or substantial portions of the Software. |
| // |
| // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
| // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
| // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
| // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
| // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
| // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
| // SOFTWARE. |
| |
| // This file is generated from |
| // ./make_curve25519_tables.py > curve25519_tables.h |
| |
| |
| #if defined(OPENSSL_SMALL) |
| |
| // This block of code replaces the standard base-point table with a much smaller |
| // one. The standard table is 30,720 bytes while this one is just 960. |
| // |
| // This table contains 15 pairs of group elements, (x, y), where each field |
| // element is serialised with |fe_tobytes|. If |i| is the index of the group |
| // element then consider i+1 as a four-bit number: (i₀, i₁, i₂, i₃) (where i₀ |
| // is the most significant bit). The value of the group element is then: |
| // (i₀×2^192 + i₁×2^128 + i₂×2^64 + i₃)G, where G is the generator. |
| static const uint8_t k25519SmallPrecomp[15 * 2 * 32] = { |
| 0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, |
| 0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, |
| 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21, 0x58, 0x66, 0x66, 0x66, |
| 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, |
| 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, |
| 0x66, 0x66, 0x66, 0x66, 0x02, 0xa2, 0xed, 0xf4, 0x8f, 0x6b, 0x0b, 0x3e, |
| 0xeb, 0x35, 0x1a, 0xd5, 0x7e, 0xdb, 0x78, 0x00, 0x96, 0x8a, 0xa0, 0xb4, |
| 0xcf, 0x60, 0x4b, 0xd4, 0xd5, 0xf9, 0x2d, 0xbf, 0x88, 0xbd, 0x22, 0x62, |
| 0x13, 0x53, 0xe4, 0x82, 0x57, 0xfa, 0x1e, 0x8f, 0x06, 0x2b, 0x90, 0xba, |
| 0x08, 0xb6, 0x10, 0x54, 0x4f, 0x7c, 0x1b, 0x26, 0xed, 0xda, 0x6b, 0xdd, |
| 0x25, 0xd0, 0x4e, 0xea, 0x42, 0xbb, 0x25, 0x03, 0xa2, 0xfb, 0xcc, 0x61, |
| 0x67, 0x06, 0x70, 0x1a, 0xc4, 0x78, 0x3a, 0xff, 0x32, 0x62, 0xdd, 0x2c, |
| 0xab, 0x50, 0x19, 0x3b, 0xf2, 0x9b, 0x7d, 0xb8, 0xfd, 0x4f, 0x29, 0x9c, |
| 0xa7, 0x91, 0xba, 0x0e, 0x46, 0x5e, 0x51, 0xfe, 0x1d, 0xbf, 0xe5, 0xe5, |
| 0x9b, 0x95, 0x0d, 0x67, 0xf8, 0xd1, 0xb5, 0x5a, 0xa1, 0x93, 0x2c, 0xc3, |
| 0xde, 0x0e, 0x97, 0x85, 0x2d, 0x7f, 0xea, 0xab, 0x3e, 0x47, 0x30, 0x18, |
| 0x24, 0xe8, 0xb7, 0x60, 0xae, 0x47, 0x80, 0xfc, 0xe5, 0x23, 0xe7, 0xc2, |
| 0xc9, 0x85, 0xe6, 0x98, 0xa0, 0x29, 0x4e, 0xe1, 0x84, 0x39, 0x2d, 0x95, |
| 0x2c, 0xf3, 0x45, 0x3c, 0xff, 0xaf, 0x27, 0x4c, 0x6b, 0xa6, 0xf5, 0x4b, |
| 0x11, 0xbd, 0xba, 0x5b, 0x9e, 0xc4, 0xa4, 0x51, 0x1e, 0xbe, 0xd0, 0x90, |
| 0x3a, 0x9c, 0xc2, 0x26, 0xb6, 0x1e, 0xf1, 0x95, 0x7d, 0xc8, 0x6d, 0x52, |
| 0xe6, 0x99, 0x2c, 0x5f, 0x9a, 0x96, 0x0c, 0x68, 0x29, 0xfd, 0xe2, 0xfb, |
| 0xe6, 0xbc, 0xec, 0x31, 0x08, 0xec, 0xe6, 0xb0, 0x53, 0x60, 0xc3, 0x8c, |
| 0xbe, 0xc1, 0xb3, 0x8a, 0x8f, 0xe4, 0x88, 0x2b, 0x55, 0xe5, 0x64, 0x6e, |
| 0x9b, 0xd0, 0xaf, 0x7b, 0x64, 0x2a, 0x35, 0x25, 0x10, 0x52, 0xc5, 0x9e, |
| 0x58, 0x11, 0x39, 0x36, 0x45, 0x51, 0xb8, 0x39, 0x93, 0xfc, 0x9d, 0x6a, |
| 0xbe, 0x58, 0xcb, 0xa4, 0x0f, 0x51, 0x3c, 0x38, 0x05, 0xca, 0xab, 0x43, |
| 0x63, 0x0e, 0xf3, 0x8b, 0x41, 0xa6, 0xf8, 0x9b, 0x53, 0x70, 0x80, 0x53, |
| 0x86, 0x5e, 0x8f, 0xe3, 0xc3, 0x0d, 0x18, 0xc8, 0x4b, 0x34, 0x1f, 0xd8, |
| 0x1d, 0xbc, 0xf2, 0x6d, 0x34, 0x3a, 0xbe, 0xdf, 0xd9, 0xf6, 0xf3, 0x89, |
| 0xa1, 0xe1, 0x94, 0x9f, 0x5d, 0x4c, 0x5d, 0xe9, 0xa1, 0x49, 0x92, 0xef, |
| 0x0e, 0x53, 0x81, 0x89, 0x58, 0x87, 0xa6, 0x37, 0xf1, 0xdd, 0x62, 0x60, |
| 0x63, 0x5a, 0x9d, 0x1b, 0x8c, 0xc6, 0x7d, 0x52, 0xea, 0x70, 0x09, 0x6a, |
| 0xe1, 0x32, 0xf3, 0x73, 0x21, 0x1f, 0x07, 0x7b, 0x7c, 0x9b, 0x49, 0xd8, |
| 0xc0, 0xf3, 0x25, 0x72, 0x6f, 0x9d, 0xed, 0x31, 0x67, 0x36, 0x36, 0x54, |
| 0x40, 0x92, 0x71, 0xe6, 0x11, 0x28, 0x11, 0xad, 0x93, 0x32, 0x85, 0x7b, |
| 0x3e, 0xb7, 0x3b, 0x49, 0x13, 0x1c, 0x07, 0xb0, 0x2e, 0x93, 0xaa, 0xfd, |
| 0xfd, 0x28, 0x47, 0x3d, 0x8d, 0xd2, 0xda, 0xc7, 0x44, 0xd6, 0x7a, 0xdb, |
| 0x26, 0x7d, 0x1d, 0xb8, 0xe1, 0xde, 0x9d, 0x7a, 0x7d, 0x17, 0x7e, 0x1c, |
| 0x37, 0x04, 0x8d, 0x2d, 0x7c, 0x5e, 0x18, 0x38, 0x1e, 0xaf, 0xc7, 0x1b, |
| 0x33, 0x48, 0x31, 0x00, 0x59, 0xf6, 0xf2, 0xca, 0x0f, 0x27, 0x1b, 0x63, |
| 0x12, 0x7e, 0x02, 0x1d, 0x49, 0xc0, 0x5d, 0x79, 0x87, 0xef, 0x5e, 0x7a, |
| 0x2f, 0x1f, 0x66, 0x55, 0xd8, 0x09, 0xd9, 0x61, 0x38, 0x68, 0xb0, 0x07, |
| 0xa3, 0xfc, 0xcc, 0x85, 0x10, 0x7f, 0x4c, 0x65, 0x65, 0xb3, 0xfa, 0xfa, |
| 0xa5, 0x53, 0x6f, 0xdb, 0x74, 0x4c, 0x56, 0x46, 0x03, 0xe2, 0xd5, 0x7a, |
| 0x29, 0x1c, 0xc6, 0x02, 0xbc, 0x59, 0xf2, 0x04, 0x75, 0x63, 0xc0, 0x84, |
| 0x2f, 0x60, 0x1c, 0x67, 0x76, 0xfd, 0x63, 0x86, 0xf3, 0xfa, 0xbf, 0xdc, |
| 0xd2, 0x2d, 0x90, 0x91, 0xbd, 0x33, 0xa9, 0xe5, 0x66, 0x0c, 0xda, 0x42, |
| 0x27, 0xca, 0xf4, 0x66, 0xc2, 0xec, 0x92, 0x14, 0x57, 0x06, 0x63, 0xd0, |
| 0x4d, 0x15, 0x06, 0xeb, 0x69, 0x58, 0x4f, 0x77, 0xc5, 0x8b, 0xc7, 0xf0, |
| 0x8e, 0xed, 0x64, 0xa0, 0xb3, 0x3c, 0x66, 0x71, 0xc6, 0x2d, 0xda, 0x0a, |
| 0x0d, 0xfe, 0x70, 0x27, 0x64, 0xf8, 0x27, 0xfa, 0xf6, 0x5f, 0x30, 0xa5, |
| 0x0d, 0x6c, 0xda, 0xf2, 0x62, 0x5e, 0x78, 0x47, 0xd3, 0x66, 0x00, 0x1c, |
| 0xfd, 0x56, 0x1f, 0x5d, 0x3f, 0x6f, 0xf4, 0x4c, 0xd8, 0xfd, 0x0e, 0x27, |
| 0xc9, 0x5c, 0x2b, 0xbc, 0xc0, 0xa4, 0xe7, 0x23, 0x29, 0x02, 0x9f, 0x31, |
| 0xd6, 0xe9, 0xd7, 0x96, 0xf4, 0xe0, 0x5e, 0x0b, 0x0e, 0x13, 0xee, 0x3c, |
| 0x09, 0xed, 0xf2, 0x3d, 0x76, 0x91, 0xc3, 0xa4, 0x97, 0xae, 0xd4, 0x87, |
| 0xd0, 0x5d, 0xf6, 0x18, 0x47, 0x1f, 0x1d, 0x67, 0xf2, 0xcf, 0x63, 0xa0, |
| 0x91, 0x27, 0xf8, 0x93, 0x45, 0x75, 0x23, 0x3f, 0xd1, 0xf1, 0xad, 0x23, |
| 0xdd, 0x64, 0x93, 0x96, 0x41, 0x70, 0x7f, 0xf7, 0xf5, 0xa9, 0x89, 0xa2, |
| 0x34, 0xb0, 0x8d, 0x1b, 0xae, 0x19, 0x15, 0x49, 0x58, 0x23, 0x6d, 0x87, |
| 0x15, 0x4f, 0x81, 0x76, 0xfb, 0x23, 0xb5, 0xea, 0xcf, 0xac, 0x54, 0x8d, |
| 0x4e, 0x42, 0x2f, 0xeb, 0x0f, 0x63, 0xdb, 0x68, 0x37, 0xa8, 0xcf, 0x8b, |
| 0xab, 0xf5, 0xa4, 0x6e, 0x96, 0x2a, 0xb2, 0xd6, 0xbe, 0x9e, 0xbd, 0x0d, |
| 0xb4, 0x42, 0xa9, 0xcf, 0x01, 0x83, 0x8a, 0x17, 0x47, 0x76, 0xc4, 0xc6, |
| 0x83, 0x04, 0x95, 0x0b, 0xfc, 0x11, 0xc9, 0x62, 0xb8, 0x0c, 0x76, 0x84, |
| 0xd9, 0xb9, 0x37, 0xfa, 0xfc, 0x7c, 0xc2, 0x6d, 0x58, 0x3e, 0xb3, 0x04, |
| 0xbb, 0x8c, 0x8f, 0x48, 0xbc, 0x91, 0x27, 0xcc, 0xf9, 0xb7, 0x22, 0x19, |
| 0x83, 0x2e, 0x09, 0xb5, 0x72, 0xd9, 0x54, 0x1c, 0x4d, 0xa1, 0xea, 0x0b, |
| 0xf1, 0xc6, 0x08, 0x72, 0x46, 0x87, 0x7a, 0x6e, 0x80, 0x56, 0x0a, 0x8a, |
| 0xc0, 0xdd, 0x11, 0x6b, 0xd6, 0xdd, 0x47, 0xdf, 0x10, 0xd9, 0xd8, 0xea, |
| 0x7c, 0xb0, 0x8f, 0x03, 0x00, 0x2e, 0xc1, 0x8f, 0x44, 0xa8, 0xd3, 0x30, |
| 0x06, 0x89, 0xa2, 0xf9, 0x34, 0xad, 0xdc, 0x03, 0x85, 0xed, 0x51, 0xa7, |
| 0x82, 0x9c, 0xe7, 0x5d, 0x52, 0x93, 0x0c, 0x32, 0x9a, 0x5b, 0xe1, 0xaa, |
| 0xca, 0xb8, 0x02, 0x6d, 0x3a, 0xd4, 0xb1, 0x3a, 0xf0, 0x5f, 0xbe, 0xb5, |
| 0x0d, 0x10, 0x6b, 0x38, 0x32, 0xac, 0x76, 0x80, 0xbd, 0xca, 0x94, 0x71, |
| 0x7a, 0xf2, 0xc9, 0x35, 0x2a, 0xde, 0x9f, 0x42, 0x49, 0x18, 0x01, 0xab, |
| 0xbc, 0xef, 0x7c, 0x64, 0x3f, 0x58, 0x3d, 0x92, 0x59, 0xdb, 0x13, 0xdb, |
| 0x58, 0x6e, 0x0a, 0xe0, 0xb7, 0x91, 0x4a, 0x08, 0x20, 0xd6, 0x2e, 0x3c, |
| 0x45, 0xc9, 0x8b, 0x17, 0x79, 0xe7, 0xc7, 0x90, 0x99, 0x3a, 0x18, 0x25, |
| }; |
| |
| #else |
| |
| // k25519Precomp[i][j] = (j+1)*256^i*B |
| static const ge_precomp k25519Precomp[32][8] = { |
| { |
| { |
| {{25967493, 19198397, 29566455, 3660896, 54414519, 4014786, |
| 27544626, 21800161, 61029707, 2047604}}, |
| {{54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692, |
| 5043384, 19500929, 18085054}}, |
| {{58370664, 4489569, 9688441, 18769238, 10184608, 21191052, |
| 29287918, 11864899, 42594502, 29115885}}, |
| }, |
| { |
| {{54292951, 20578084, 45527620, 11784319, 41753206, 30803714, |
| 55390960, 29739860, 66750418, 23343128}}, |
| {{45405608, 6903824, 27185491, 6451973, 37531140, 24000426, |
| 51492312, 11189267, 40279186, 28235350}}, |
| {{26966623, 11152617, 32442495, 15396054, 14353839, 20802097, |
| 63980037, 24013313, 51636816, 29387734}}, |
| }, |
| { |
| {{15636272, 23865875, 24204772, 25642034, 616976, 16869170, |
| 27787599, 18782243, 28944399, 32004408}}, |
| {{16568933, 4717097, 55552716, 32452109, 15682895, 21747389, |
| 16354576, 21778470, 7689661, 11199574}}, |
| {{30464137, 27578307, 55329429, 17883566, 23220364, 15915852, |
| 7512774, 10017326, 49359771, 23634074}}, |
| }, |
| { |
| {{50071967, 13921891, 10945806, 27521001, 27105051, 17470053, |
| 38182653, 15006022, 3284568, 27277892}}, |
| {{23599295, 25248385, 55915199, 25867015, 13236773, 10506355, |
| 7464579, 9656445, 13059162, 10374397}}, |
| {{7798537, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, |
| 29715387, 66467155, 33453106}}, |
| }, |
| { |
| {{10861363, 11473154, 27284546, 1981175, 37044515, 12577860, |
| 32867885, 14515107, 51670560, 10819379}}, |
| {{4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196, |
| 12483687, 54440373, 5581305}}, |
| {{19563141, 16186464, 37722007, 4097518, 10237984, 29206317, |
| 28542349, 13850243, 43430843, 17738489}}, |
| }, |
| { |
| {{51736881, 20691677, 32573249, 4720197, 40672342, 5875510, |
| 47920237, 18329612, 57289923, 21468654}}, |
| {{58559652, 109982, 15149363, 2178705, 22900618, 4543417, 3044240, |
| 17864545, 1762327, 14866737}}, |
| {{48909169, 17603008, 56635573, 1707277, 49922944, 3916100, |
| 38872452, 3959420, 27914454, 4383652}}, |
| }, |
| { |
| {{5153727, 9909285, 1723747, 30776558, 30523604, 5516873, 19480852, |
| 5230134, 43156425, 18378665}}, |
| {{36839857, 30090922, 7665485, 10083793, 28475525, 1649722, |
| 20654025, 16520125, 30598449, 7715701}}, |
| {{28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204, |
| 1370707, 29794553, 32145132}}, |
| }, |
| { |
| {{14499471, 30824833, 33917750, 29299779, 28494861, 14271267, |
| 30290735, 10876454, 33954766, 2381725}}, |
| {{59913433, 30899068, 52378708, 462250, 39384538, 3941371, 60872247, |
| 3696004, 34808032, 15351954}}, |
| {{27431194, 8222322, 16448760, 29646437, 48401861, 11938354, |
| 34147463, 30583916, 29551812, 10109425}}, |
| }, |
| }, |
| { |
| { |
| {{53451805, 20399000, 35825113, 11777097, 21447386, 6519384, |
| 64730580, 31926875, 10092782, 28790261}}, |
| {{27939166, 14210322, 4677035, 16277044, 44144402, 21156292, |
| 34600109, 12005537, 49298737, 12803509}}, |
| {{17228999, 17892808, 65875336, 300139, 65883994, 21839654, |
| 30364212, 24516238, 18016356, 4397660}}, |
| }, |
| { |
| {{56150021, 25864224, 4776340, 18600194, 27850027, 17952220, |
| 40489757, 14544524, 49631360, 982638}}, |
| {{29253598, 15796703, 64244882, 23645547, 10057022, 3163536, |
| 7332899, 29434304, 46061167, 9934962}}, |
| {{5793284, 16271923, 42977250, 23438027, 29188559, 1206517, |
| 52360934, 4559894, 36984942, 22656481}}, |
| }, |
| { |
| {{39464912, 22061425, 16282656, 22517939, 28414020, 18542168, |
| 24191033, 4541697, 53770555, 5500567}}, |
| {{12650548, 32057319, 9052870, 11355358, 49428827, 25154267, |
| 49678271, 12264342, 10874051, 13524335}}, |
| {{25556948, 30508442, 714650, 2510400, 23394682, 23139102, 33119037, |
| 5080568, 44580805, 5376627}}, |
| }, |
| { |
| {{41020600, 29543379, 50095164, 30016803, 60382070, 1920896, |
| 44787559, 24106988, 4535767, 1569007}}, |
| {{64853442, 14606629, 45416424, 25514613, 28430648, 8775819, |
| 36614302, 3044289, 31848280, 12543772}}, |
| {{45080285, 2943892, 35251351, 6777305, 13784462, 29262229, |
| 39731668, 31491700, 7718481, 14474653}}, |
| }, |
| { |
| {{2385296, 2454213, 44477544, 46602, 62670929, 17874016, 656964, |
| 26317767, 24316167, 28300865}}, |
| {{13741529, 10911568, 33875447, 24950694, 46931033, 32521134, |
| 33040650, 20129900, 46379407, 8321685}}, |
| {{21060490, 31341688, 15712756, 29218333, 1639039, 10656336, |
| 23845965, 21679594, 57124405, 608371}}, |
| }, |
| { |
| {{53436132, 18466845, 56219170, 25997372, 61071954, 11305546, |
| 1123968, 26773855, 27229398, 23887}}, |
| {{43864724, 33260226, 55364135, 14712570, 37643165, 31524814, |
| 12797023, 27114124, 65475458, 16678953}}, |
| {{37608244, 4770661, 51054477, 14001337, 7830047, 9564805, 65600720, |
| 28759386, 49939598, 4904952}}, |
| }, |
| { |
| {{24059538, 14617003, 19037157, 18514524, 19766092, 18648003, |
| 5169210, 16191880, 2128236, 29227599}}, |
| {{50127693, 4124965, 58568254, 22900634, 30336521, 19449185, |
| 37302527, 916032, 60226322, 30567899}}, |
| {{44477957, 12419371, 59974635, 26081060, 50629959, 16739174, |
| 285431, 2763829, 15736322, 4143876}}, |
| }, |
| { |
| {{2379333, 11839345, 62998462, 27565766, 11274297, 794957, 212801, |
| 18959769, 23527083, 17096164}}, |
| {{33431108, 22423954, 49269897, 17927531, 8909498, 8376530, |
| 34483524, 4087880, 51919953, 19138217}}, |
| {{1767664, 7197987, 53903638, 31531796, 54017513, 448825, 5799055, |
| 4357868, 62334673, 17231393}}, |
| }, |
| }, |
| { |
| { |
| {{6721966, 13833823, 43585476, 32003117, 26354292, 21691111, |
| 23365146, 29604700, 7390889, 2759800}}, |
| {{4409022, 2052381, 23373853, 10530217, 7676779, 20668478, 21302352, |
| 29290375, 1244379, 20634787}}, |
| {{62687625, 7169618, 4982368, 30596842, 30256824, 30776892, |
| 14086412, 9208236, 15886429, 16489664}}, |
| }, |
| { |
| {{1996056, 10375649, 14346367, 13311202, 60234729, 17116020, |
| 53415665, 398368, 36502409, 32841498}}, |
| {{41801399, 9795879, 64331450, 14878808, 33577029, 14780362, |
| 13348553, 12076947, 36272402, 5113181}}, |
| {{49338080, 11797795, 31950843, 13929123, 41220562, 12288343, |
| 36767763, 26218045, 13847710, 5387222}}, |
| }, |
| { |
| {{48526701, 30138214, 17824842, 31213466, 22744342, 23111821, |
| 8763060, 3617786, 47508202, 10370990}}, |
| {{20246567, 19185054, 22358228, 33010720, 18507282, 23140436, |
| 14554436, 24808340, 32232923, 16763880}}, |
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| {{13609624, 13069022, 39736503, 20498523, 24360585, 9592974, |
| 14977157, 9835105, 4389687, 288396}}, |
| {{9922506, 33035038, 13613106, 5883594, 48350519, 33120168, |
| 54804801, 8317627, 23388070, 16052080}}, |
| {{12719997, 11937594, 35138804, 28525742, 26900119, 8561328, |
| 46953177, 21921452, 52354592, 22741539}}, |
| }, |
| { |
| {{15961858, 14150409, 26716931, 32888600, 44314535, 13603568, |
| 11829573, 7467844, 38286736, 929274}}, |
| {{11038231, 21972036, 39798381, 26237869, 56610336, 17246600, |
| 43629330, 24182562, 45715720, 2465073}}, |
| {{20017144, 29231206, 27915241, 1529148, 12396362, 15675764, |
| 13817261, 23896366, 2463390, 28932292}}, |
| }, |
| { |
| {{50749986, 20890520, 55043680, 4996453, 65852442, 1073571, 9583558, |
| 12851107, 4003896, 12673717}}, |
| {{65377275, 18398561, 63845933, 16143081, 19294135, 13385325, |
| 14741514, 24450706, 7903885, 2348101}}, |
| {{24536016, 17039225, 12715591, 29692277, 1511292, 10047386, |
| 63266518, 26425272, 38731325, 10048126}}, |
| }, |
| }, |
| { |
| { |
| {{54486638, 27349611, 30718824, 2591312, 56491836, 12192839, |
| 18873298, 26257342, 34811107, 15221631}}, |
| {{40630742, 22450567, 11546243, 31701949, 9180879, 7656409, |
| 45764914, 2095754, 29769758, 6593415}}, |
| {{35114656, 30646970, 4176911, 3264766, 12538965, 32686321, |
| 26312344, 27435754, 30958053, 8292160}}, |
| }, |
| { |
| {{31429803, 19595316, 29173531, 15632448, 12174511, 30794338, |
| 32808830, 3977186, 26143136, 30405556}}, |
| {{22648882, 1402143, 44308880, 13746058, 7936347, 365344, 58440231, |
| 31879998, 63350620, 31249806}}, |
| {{51616947, 8012312, 64594134, 20851969, 43143017, 23300402, |
| 65496150, 32018862, 50444388, 8194477}}, |
| }, |
| { |
| {{27338066, 26047012, 59694639, 10140404, 48082437, 26964542, |
| 27277190, 8855376, 28572286, 3005164}}, |
| {{26287105, 4821776, 25476601, 29408529, 63344350, 17765447, |
| 49100281, 1182478, 41014043, 20474836}}, |
| {{59937691, 3178079, 23970071, 6201893, 49913287, 29065239, |
| 45232588, 19571804, 32208682, 32356184}}, |
| }, |
| { |
| {{50451143, 2817642, 56822502, 14811297, 6024667, 13349505, |
| 39793360, 23056589, 39436278, 22014573}}, |
| {{15941010, 24148500, 45741813, 8062054, 31876073, 33315803, |
| 51830470, 32110002, 15397330, 29424239}}, |
| {{8934485, 20068965, 43822466, 20131190, 34662773, 14047985, |
| 31170398, 32113411, 39603297, 15087183}}, |
| }, |
| { |
| {{48751602, 31397940, 24524912, 16876564, 15520426, 27193656, |
| 51606457, 11461895, 16788528, 27685490}}, |
| {{65161459, 16013772, 21750665, 3714552, 49707082, 17498998, |
| 63338576, 23231111, 31322513, 21938797}}, |
| {{21426636, 27904214, 53460576, 28206894, 38296674, 28633461, |
| 48833472, 18933017, 13040861, 21441484}}, |
| }, |
| { |
| {{11293895, 12478086, 39972463, 15083749, 37801443, 14748871, |
| 14555558, 20137329, 1613710, 4896935}}, |
| {{41213962, 15323293, 58619073, 25496531, 25967125, 20128972, |
| 2825959, 28657387, 43137087, 22287016}}, |
| {{51184079, 28324551, 49665331, 6410663, 3622847, 10243618, |
| 20615400, 12405433, 43355834, 25118015}}, |
| }, |
| { |
| {{60017550, 12556207, 46917512, 9025186, 50036385, 4333800, 4378436, |
| 2432030, 23097949, 32988414}}, |
| {{4565804, 17528778, 20084411, 25711615, 1724998, 189254, 24767264, |
| 10103221, 48596551, 2424777}}, |
| {{366633, 21577626, 8173089, 26664313, 30788633, 5745705, 59940186, |
| 1344108, 63466311, 12412658}}, |
| }, |
| { |
| {{43107073, 7690285, 14929416, 33386175, 34898028, 20141445, |
| 24162696, 18227928, 63967362, 11179384}}, |
| {{18289503, 18829478, 8056944, 16430056, 45379140, 7842513, |
| 61107423, 32067534, 48424218, 22110928}}, |
| {{476239, 6601091, 60956074, 23831056, 17503544, 28690532, 27672958, |
| 13403813, 11052904, 5219329}}, |
| }, |
| }, |
| { |
| { |
| {{20678527, 25178694, 34436965, 8849122, 62099106, 14574751, |
| 31186971, 29580702, 9014761, 24975376}}, |
| {{53464795, 23204192, 51146355, 5075807, 65594203, 22019831, |
| 34006363, 9160279, 8473550, 30297594}}, |
| {{24900749, 14435722, 17209120, 18261891, 44516588, 9878982, |
| 59419555, 17218610, 42540382, 11788947}}, |
| }, |
| { |
| {{63990690, 22159237, 53306774, 14797440, 9652448, 26708528, |
| 47071426, 10410732, 42540394, 32095740}}, |
| {{51449703, 16736705, 44641714, 10215877, 58011687, 7563910, |
| 11871841, 21049238, 48595538, 8464117}}, |
| {{43708233, 8348506, 52522913, 32692717, 63158658, 27181012, |
| 14325288, 8628612, 33313881, 25183915}}, |
| }, |
| { |
| {{46921872, 28586496, 22367355, 5271547, 66011747, 28765593, |
| 42303196, 23317577, 58168128, 27736162}}, |
| {{60160060, 31759219, 34483180, 17533252, 32635413, 26180187, |
| 15989196, 20716244, 28358191, 29300528}}, |
| {{43547083, 30755372, 34757181, 31892468, 57961144, 10429266, |
| 50471180, 4072015, 61757200, 5596588}}, |
| }, |
| { |
| {{38872266, 30164383, 12312895, 6213178, 3117142, 16078565, |
| 29266239, 2557221, 1768301, 15373193}}, |
| {{59865506, 30307471, 62515396, 26001078, 66980936, 32642186, |
| 66017961, 29049440, 42448372, 3442909}}, |
| {{36898293, 5124042, 14181784, 8197961, 18964734, 21615339, |
| 22597930, 7176455, 48523386, 13365929}}, |
| }, |
| { |
| {{59231455, 32054473, 8324672, 4690079, 6261860, 890446, 24538107, |
| 24984246, 57419264, 30522764}}, |
| {{25008885, 22782833, 62803832, 23916421, 16265035, 15721635, |
| 683793, 21730648, 15723478, 18390951}}, |
| {{57448220, 12374378, 40101865, 26528283, 59384749, 21239917, |
| 11879681, 5400171, 519526, 32318556}}, |
| }, |
| { |
| {{22258397, 17222199, 59239046, 14613015, 44588609, 30603508, |
| 46754982, 7315966, 16648397, 7605640}}, |
| {{59027556, 25089834, 58885552, 9719709, 19259459, 18206220, |
| 23994941, 28272877, 57640015, 4763277}}, |
| {{45409620, 9220968, 51378240, 1084136, 41632757, 30702041, |
| 31088446, 25789909, 55752334, 728111}}, |
| }, |
| { |
| {{26047201, 21802961, 60208540, 17032633, 24092067, 9158119, |
| 62835319, 20998873, 37743427, 28056159}}, |
| {{17510331, 33231575, 5854288, 8403524, 17133918, 30441820, |
| 38997856, 12327944, 10750447, 10014012}}, |
| {{56796096, 3936951, 9156313, 24656749, 16498691, 32559785, |
| 39627812, 32887699, 3424690, 7540221}}, |
| }, |
| { |
| {{30322361, 26590322, 11361004, 29411115, 7433303, 4989748, |
| 60037442, 17237212, 57864598, 15258045}}, |
| {{13054543, 30774935, 19155473, 469045, 54626067, 4566041, 5631406, |
| 2711395, 1062915, 28418087}}, |
| {{47868616, 22299832, 37599834, 26054466, 61273100, 13005410, |
| 61042375, 12194496, 32960380, 1459310}}, |
| }, |
| }, |
| { |
| { |
| {{19852015, 7027924, 23669353, 10020366, 8586503, 26896525, 394196, |
| 27452547, 18638002, 22379495}}, |
| {{31395515, 15098109, 26581030, 8030562, 50580950, 28547297, |
| 9012485, 25970078, 60465776, 28111795}}, |
| {{57916680, 31207054, 65111764, 4529533, 25766844, 607986, 67095642, |
| 9677542, 34813975, 27098423}}, |
| }, |
| { |
| {{64664349, 33404494, 29348901, 8186665, 1873760, 12489863, |
| 36174285, 25714739, 59256019, 25416002}}, |
| {{51872508, 18120922, 7766469, 746860, 26346930, 23332670, 39775412, |
| 10754587, 57677388, 5203575}}, |
| {{31834314, 14135496, 66338857, 5159117, 20917671, 16786336, |
| 59640890, 26216907, 31809242, 7347066}}, |
| }, |
| { |
| {{57502122, 21680191, 20414458, 13033986, 13716524, 21862551, |
| 19797969, 21343177, 15192875, 31466942}}, |
| {{54445282, 31372712, 1168161, 29749623, 26747876, 19416341, |
| 10609329, 12694420, 33473243, 20172328}}, |
| {{33184999, 11180355, 15832085, 22169002, 65475192, 225883, |
| 15089336, 22530529, 60973201, 14480052}}, |
| }, |
| { |
| {{31308717, 27934434, 31030839, 31657333, 15674546, 26971549, |
| 5496207, 13685227, 27595050, 8737275}}, |
| {{46790012, 18404192, 10933842, 17376410, 8335351, 26008410, |
| 36100512, 20943827, 26498113, 66511}}, |
| {{22644435, 24792703, 50437087, 4884561, 64003250, 19995065, |
| 30540765, 29267685, 53781076, 26039336}}, |
| }, |
| { |
| {{39091017, 9834844, 18617207, 30873120, 63706907, 20246925, |
| 8205539, 13585437, 49981399, 15115438}}, |
| {{23711543, 32881517, 31206560, 25191721, 6164646, 23844445, |
| 33572981, 32128335, 8236920, 16492939}}, |
| {{43198286, 20038905, 40809380, 29050590, 25005589, 25867162, |
| 19574901, 10071562, 6708380, 27332008}}, |
| }, |
| { |
| {{2101372, 28624378, 19702730, 2367575, 51681697, 1047674, 5301017, |
| 9328700, 29955601, 21876122}}, |
| {{3096359, 9271816, 45488000, 18032587, 52260867, 25961494, |
| 41216721, 20918836, 57191288, 6216607}}, |
| {{34493015, 338662, 41913253, 2510421, 37895298, 19734218, 24822829, |
| 27407865, 40341383, 7525078}}, |
| }, |
| { |
| {{44042215, 19568808, 16133486, 25658254, 63719298, 778787, |
| 66198528, 30771936, 47722230, 11994100}}, |
| {{21691500, 19929806, 66467532, 19187410, 3285880, 30070836, |
| 42044197, 9718257, 59631427, 13381417}}, |
| {{18445390, 29352196, 14979845, 11622458, 65381754, 29971451, |
| 23111647, 27179185, 28535281, 15779576}}, |
| }, |
| { |
| {{30098034, 3089662, 57874477, 16662134, 45801924, 11308410, |
| 53040410, 12021729, 9955285, 17251076}}, |
| {{9734894, 18977602, 59635230, 24415696, 2060391, 11313496, |
| 48682835, 9924398, 20194861, 13380996}}, |
| {{40730762, 25589224, 44941042, 15789296, 49053522, 27385639, |
| 65123949, 15707770, 26342023, 10146099}}, |
| }, |
| }, |
| { |
| { |
| {{41091971, 33334488, 21339190, 33513044, 19745255, 30675732, |
| 37471583, 2227039, 21612326, 33008704}}, |
| {{54031477, 1184227, 23562814, 27583990, 46757619, 27205717, |
| 25764460, 12243797, 46252298, 11649657}}, |
| {{57077370, 11262625, 27384172, 2271902, 26947504, 17556661, 39943, |
| 6114064, 33514190, 2333242}}, |
| }, |
| { |
| {{45675257, 21132610, 8119781, 7219913, 45278342, 24538297, |
| 60429113, 20883793, 24350577, 20104431}}, |
| {{62992557, 22282898, 43222677, 4843614, 37020525, 690622, 35572776, |
| 23147595, 8317859, 12352766}}, |
| {{18200138, 19078521, 34021104, 30857812, 43406342, 24451920, |
| 43556767, 31266881, 20712162, 6719373}}, |
| }, |
| { |
| {{26656189, 6075253, 59250308, 1886071, 38764821, 4262325, 11117530, |
| 29791222, 26224234, 30256974}}, |
| {{49939907, 18700334, 63713187, 17184554, 47154818, 14050419, |
| 21728352, 9493610, 18620611, 17125804}}, |
| {{53785524, 13325348, 11432106, 5964811, 18609221, 6062965, |
| 61839393, 23828875, 36407290, 17074774}}, |
| }, |
| { |
| {{43248326, 22321272, 26961356, 1640861, 34695752, 16816491, |
| 12248508, 28313793, 13735341, 1934062}}, |
| {{25089769, 6742589, 17081145, 20148166, 21909292, 17486451, |
| 51972569, 29789085, 45830866, 5473615}}, |
| {{31883658, 25593331, 1083431, 21982029, 22828470, 13290673, |
| 59983779, 12469655, 29111212, 28103418}}, |
| }, |
| { |
| {{24244947, 18504025, 40845887, 2791539, 52111265, 16666677, |
| 24367466, 6388839, 56813277, 452382}}, |
| {{41468082, 30136590, 5217915, 16224624, 19987036, 29472163, |
| 42872612, 27639183, 15766061, 8407814}}, |
| {{46701865, 13990230, 15495425, 16395525, 5377168, 15166495, |
| 58191841, 29165478, 59040954, 2276717}}, |
| }, |
| { |
| {{30157899, 12924066, 49396814, 9245752, 19895028, 3368142, |
| 43281277, 5096218, 22740376, 26251015}}, |
| {{2041139, 19298082, 7783686, 13876377, 41161879, 20201972, |
| 24051123, 13742383, 51471265, 13295221}}, |
| {{33338218, 25048699, 12532112, 7977527, 9106186, 31839181, |
| 49388668, 28941459, 62657506, 18884987}}, |
| }, |
| { |
| {{47063583, 5454096, 52762316, 6447145, 28862071, 1883651, 64639598, |
| 29412551, 7770568, 9620597}}, |
| {{23208049, 7979712, 33071466, 8149229, 1758231, 22719437, 30945527, |
| 31860109, 33606523, 18786461}}, |
| {{1439939, 17283952, 66028874, 32760649, 4625401, 10647766, |
| 62065063, 1220117, 30494170, 22113633}}, |
| }, |
| { |
| {{62071265, 20526136, 64138304, 30492664, 15640973, 26852766, |
| 40369837, 926049, 65424525, 20220784}}, |
| {{13908495, 30005160, 30919927, 27280607, 45587000, 7989038, |
| 9021034, 9078865, 3353509, 4033511}}, |
| {{37445433, 18440821, 32259990, 33209950, 24295848, 20642309, |
| 23161162, 8839127, 27485041, 7356032}}, |
| }, |
| }, |
| { |
| { |
| {{9661008, 705443, 11980065, 28184278, 65480320, 14661172, 60762722, |
| 2625014, 28431036, 16782598}}, |
| {{43269631, 25243016, 41163352, 7480957, 49427195, 25200248, |
| 44562891, 14150564, 15970762, 4099461}}, |
| {{29262576, 16756590, 26350592, 24760869, 8529670, 22346382, |
| 13617292, 23617289, 11465738, 8317062}}, |
| }, |
| { |
| {{41615764, 26591503, 32500199, 24135381, 44070139, 31252209, |
| 14898636, 3848455, 20969334, 28396916}}, |
| {{46724414, 19206718, 48772458, 13884721, 34069410, 2842113, |
| 45498038, 29904543, 11177094, 14989547}}, |
| {{42612143, 21838415, 16959895, 2278463, 12066309, 10137771, |
| 13515641, 2581286, 38621356, 9930239}}, |
| }, |
| { |
| {{49357223, 31456605, 16544299, 20545132, 51194056, 18605350, |
| 18345766, 20150679, 16291480, 28240394}}, |
| {{33879670, 2553287, 32678213, 9875984, 8534129, 6889387, 57432090, |
| 6957616, 4368891, 9788741}}, |
| {{16660737, 7281060, 56278106, 12911819, 20108584, 25452756, |
| 45386327, 24941283, 16250551, 22443329}}, |
| }, |
| { |
| {{47343357, 2390525, 50557833, 14161979, 1905286, 6414907, 4689584, |
| 10604807, 36918461, 4782746}}, |
| {{65754325, 14736940, 59741422, 20261545, 7710541, 19398842, |
| 57127292, 4383044, 22546403, 437323}}, |
| {{31665558, 21373968, 50922033, 1491338, 48740239, 3294681, |
| 27343084, 2786261, 36475274, 19457415}}, |
| }, |
| { |
| {{52641566, 32870716, 33734756, 7448551, 19294360, 14334329, |
| 47418233, 2355318, 47824193, 27440058}}, |
| {{15121312, 17758270, 6377019, 27523071, 56310752, 20596586, |
| 18952176, 15496498, 37728731, 11754227}}, |
| {{64471568, 20071356, 8488726, 19250536, 12728760, 31931939, |
| 7141595, 11724556, 22761615, 23420291}}, |
| }, |
| { |
| {{16918416, 11729663, 49025285, 3022986, 36093132, 20214772, |
| 38367678, 21327038, 32851221, 11717399}}, |
| {{11166615, 7338049, 60386341, 4531519, 37640192, 26252376, |
| 31474878, 3483633, 65915689, 29523600}}, |
| {{66923210, 9921304, 31456609, 20017994, 55095045, 13348922, |
| 33142652, 6546660, 47123585, 29606055}}, |
| }, |
| { |
| {{34648249, 11266711, 55911757, 25655328, 31703693, 3855903, |
| 58571733, 20721383, 36336829, 18068118}}, |
| {{49102387, 12709067, 3991746, 27075244, 45617340, 23004006, |
| 35973516, 17504552, 10928916, 3011958}}, |
| {{60151107, 17960094, 31696058, 334240, 29576716, 14796075, |
| 36277808, 20749251, 18008030, 10258577}}, |
| }, |
| { |
| {{44660220, 15655568, 7018479, 29144429, 36794597, 32352840, |
| 65255398, 1367119, 25127874, 6671743}}, |
| {{29701166, 19180498, 56230743, 9279287, 67091296, 13127209, |
| 21382910, 11042292, 25838796, 4642684}}, |
| {{46678630, 14955536, 42982517, 8124618, 61739576, 27563961, |
| 30468146, 19653792, 18423288, 4177476}}, |
| }, |
| }, |
| }; |
| |
| #endif // OPENSSL_SMALL |
| |
| // Bi[i] = (2*i+1)*B |
| static const ge_precomp Bi[8] = { |
| { |
| {{25967493, 19198397, 29566455, 3660896, 54414519, 4014786, 27544626, |
| 21800161, 61029707, 2047604}}, |
| {{54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692, |
| 5043384, 19500929, 18085054}}, |
| {{58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918, |
| 11864899, 42594502, 29115885}}, |
| }, |
| { |
| {{15636272, 23865875, 24204772, 25642034, 616976, 16869170, 27787599, |
| 18782243, 28944399, 32004408}}, |
| {{16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576, |
| 21778470, 7689661, 11199574}}, |
| {{30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774, |
| 10017326, 49359771, 23634074}}, |
| }, |
| { |
| {{10861363, 11473154, 27284546, 1981175, 37044515, 12577860, 32867885, |
| 14515107, 51670560, 10819379}}, |
| {{4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196, |
| 12483687, 54440373, 5581305}}, |
| {{19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349, |
| 13850243, 43430843, 17738489}}, |
| }, |
| { |
| {{5153727, 9909285, 1723747, 30776558, 30523604, 5516873, 19480852, |
| 5230134, 43156425, 18378665}}, |
| {{36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025, |
| 16520125, 30598449, 7715701}}, |
| {{28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204, |
| 1370707, 29794553, 32145132}}, |
| }, |
| { |
| {{44589871, 26862249, 14201701, 24808930, 43598457, 8844725, 18474211, |
| 32192982, 54046167, 13821876}}, |
| {{60653668, 25714560, 3374701, 28813570, 40010246, 22982724, 31655027, |
| 26342105, 18853321, 19333481}}, |
| {{4566811, 20590564, 38133974, 21313742, 59506191, 30723862, 58594505, |
| 23123294, 2207752, 30344648}}, |
| }, |
| { |
| {{41954014, 29368610, 29681143, 7868801, 60254203, 24130566, 54671499, |
| 32891431, 35997400, 17421995}}, |
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