105 lines
10 KiB
C++
105 lines
10 KiB
C++
/*
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* Copyright (c) 2012-2020 MIRACL UK Ltd.
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*
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* This file is part of MIRACL Core
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* (see https://github.com/miracl/core).
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#include "arch.h"
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#include "ecp_BN254CX.h"
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namespace BN254CX {
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/* Curve BN254CX - Pairing friendly BN curve */
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/* CertiVox BN curve/field */
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#if CHUNK==16
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using namespace B256_13;
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const int CURVE_Cof_I=1;
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const int CURVE_B_I= 2;
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const BIG CURVE_B= {0x2,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Order= {0x1F6D,0x1758,0x98D,0x381,0xBE1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48};
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const BIG CURVE_Gx= {0x15B2,0xDA,0x1BD7,0xC47,0x1BE6,0x1F70,0x24,0x1DC3,0x1FD6,0x1921,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48};
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const BIG CURVE_Gy= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_HTPC= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Bnx= {0x12B1,0x1E00,0x0,0x0,0x400,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Cof= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Pxa= {0xAF5,0x1AFD,0x1B2,0x7D0,0x51C,0x1B14,0xE64,0x1CC3,0xFB8,0x4A2,0x10BC,0x1633,0x73C,0x90E,0x1E9C,0x1369,0x1F9A,0x12DB,0x1256,0x35};
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const BIG CURVE_Pxb= {0x1433,0xAF,0x183F,0xA00,0x1EDE,0x4A6,0xF68,0x1435,0x1A33,0xDD,0xD93,0x103E,0xD16,0x8E1,0x10FC,0xCC0,0x365,0x8,0xF4C,0xA};
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const BIG CURVE_Pya= {0x299,0x1B95,0x1AA5,0x642,0x683,0x427,0x1A8D,0x126D,0x1FF0,0x3CE,0x1019,0x1230,0x1FEF,0x35D,0xBB8,0xDF6,0x109E,0xB85,0x1C9E,0x2A};
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const BIG CURVE_Pyb= {0x8CD,0x24F,0x7E7,0x1782,0x1C41,0x10D6,0x681,0xC12,0x5,0x1699,0x59,0xC0E,0x17F5,0x1DEB,0x1F55,0x313,0x2AC,0xB60,0xF2D,0x23};
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const BIG CURVE_W[2]= {{0xB83,0x117F,0x1245,0x8C6,0x5,0x1C09,0xD00,0x1,0x0,0x300,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
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const BIG CURVE_SB[2][2]= {{{0x10E4,0xD80,0x1247,0x8C6,0x805,0x1C09,0xD00,0x1,0x0,0x300,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x13EA,0x5D9,0x1748,0x1ABA,0xBDB,0x75E,0x623,0x1DC0,0x1FD6,0x1321,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48}}};
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const BIG CURVE_WB[4]= {{0x4B0,0x13D4,0x615,0x1842,0x401,0x958,0xF00,0x0,0x0,0x100,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x475,0x1110,0x56F,0x1BF3,0x36C,0x1FCD,0x329,0x1DB5,0x1E94,0xE03,0xA83,0x10E0,0x0,0x0,0xC0,0x0,0x0,0x0,0x0,0x0},{0xB93,0x788,0x12B8,0xDF9,0x13B6,0x1FE6,0x1194,0xEDA,0x1F4A,0x1701,0x541,0x870,0x0,0x0,0x60,0x0,0x0,0x0,0x0,0x0},{0xA11,0xFD5,0x617,0x1842,0xC01,0x958,0xF00,0x0,0x0,0x100,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
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const BIG CURVE_BB[4][4]= {{{0xCBD,0x1958,0x98C,0x381,0x7E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48},{0xCBC,0x1958,0x98C,0x381,0x7E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48},{0xCBC,0x1958,0x98C,0x381,0x7E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48},{0x562,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xCBC,0x1958,0x98C,0x381,0x7E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48},{0xCBD,0x1958,0x98C,0x381,0x7E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48},{0xCBC,0x1958,0x98C,0x381,0x7E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48}},{{0x562,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x561,0x1C01,0x1,0x0,0x800,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x12B2,0x1E00,0x0,0x0,0x400,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xAC2,0x1802,0x3,0x0,0x1000,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1A0A,0x1B57,0x98B,0x381,0x3E1,0x367,0x1324,0x1DC1,0x1FD6,0x1621,0x19B4,0x14C6,0x1647,0x1EEF,0x16C2,0x541,0x870,0x0,0x0,0x48},{0x12B2,0x1E00,0x0,0x0,0x400,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}}};
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#endif
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#if CHUNK==32
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using namespace B256_28;
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const int CURVE_Cof_I=1;
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const int CURVE_B_I= 2;
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const BIG CURVE_B= {0x2,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Order= {0x6EB1F6D,0x11C0A63,0x906CEBE,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2};
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const BIG CURVE_Gx= {0xC1B55B2,0x6623EF5,0x93EE1BE,0xD6EE180,0x6D3243F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2};
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const BIG CURVE_Gy= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_HTPC= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Bnx= {0x3C012B1,0x0,0x40,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Cof= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Pxa= {0xB5FAAF5,0xC3E806C,0x9362851,0xB8E61B9,0x2F0944F,0x73CB19C,0xFA7121C,0x7F9A9B4,0xAC95A5B,0x1};
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const BIG CURVE_Pxb= {0xC15F433,0xE50060F,0xA094DED,0x33A1ABD,0x64C1BBA,0xD1681F3,0x43F11C2,0x365660,0x53D3001,0x0};
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const BIG CURVE_Pya= {0x772A299,0x33216A9,0x3484E68,0xF0936EA,0x6479DF,0xFEF9184,0x2EE06BB,0xB09E6FB,0x5727970,0x1};
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const BIG CURVE_Pyb= {0xC49E8CD,0x1BC11F9,0x61ADC4,0x56091A,0x166D320,0x7F56070,0xFD57BD7,0x2AC189,0x1BCB56C,0x1};
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const BIG CURVE_W[2]= {{0x62FEB83,0x5463491,0x381200,0xB4,0x6000,0x0,0x0,0x0,0x0,0x0},{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
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const BIG CURVE_SB[2][2]= {{{0xDB010E4,0x5463491,0x381280,0xB4,0x6000,0x0,0x0,0x0,0x0,0x0},{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xBB33EA,0xBD5D5D2,0x8CEBCBD,0xD6EE018,0x6D2643F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2}}};
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const BIG CURVE_WB[4]= {{0x67A84B0,0x1C21185,0x12B040,0x3C,0x2000,0x0,0x0,0x0,0x0,0x0},{0xE220475,0xCDF995B,0xA7F9A36,0x94EDA8C,0xA0DC07E,0x8702,0x300000,0x0,0x0,0x0},{0xF10B93,0x66FCCAE,0x53FCD3B,0x4A76D46,0x506E03F,0x4381,0x180000,0x0,0x0,0x0},{0xDFAAA11,0x1C21185,0x12B0C0,0x3C,0x2000,0x0,0x0,0x0,0x0,0x0}};
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const BIG CURVE_BB[4][4]= {{{0x32B0CBD,0x11C0A63,0x906CE7E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2},{0x32B0CBC,0x11C0A63,0x906CE7E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2},{0x32B0CBC,0x11C0A63,0x906CE7E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2},{0x7802562,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x32B0CBC,0x11C0A63,0x906CE7E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2},{0x32B0CBD,0x11C0A63,0x906CE7E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2},{0x32B0CBC,0x11C0A63,0x906CE7E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2}},{{0x7802562,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x7802561,0x0,0x80,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x3C012B2,0x0,0x40,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xF004AC2,0x0,0x100,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xF6AFA0A,0x11C0A62,0x906CE3E,0xD6EE0CC,0x6D2C43F,0x647A636,0xDB0BDDF,0x8702A0,0x4000000,0x2},{0x3C012B2,0x0,0x40,0x0,0x0,0x0,0x0,0x0,0x0,0x0}}};
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#endif
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#if CHUNK==64
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using namespace B256_56;
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const int CURVE_Cof_I=1;
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const int CURVE_B_I= 2;
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const BIG CURVE_B= {0x2L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Order= {0x11C0A636EB1F6DL,0xD6EE0CC906CEBEL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L};
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const BIG CURVE_Gx= {0x6623EF5C1B55B2L,0xD6EE18093EE1BEL,0x647A6366D3243FL,0x8702A0DB0BDDFL,0x24000000L};
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const BIG CURVE_Gy= {0x1L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_HTPC= {0x1L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Bnx= {0x3C012B1L,0x40L,0x0L,0x0L,0x0L};
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const BIG CURVE_Cof= {0x1L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Pxa= {0xC3E806CB5FAAF5L,0xB8E61B99362851L,0x73CB19C2F0944FL,0x7F9A9B4FA7121CL,0x1AC95A5BL};
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const BIG CURVE_Pxb= {0xE50060FC15F433L,0x33A1ABDA094DEDL,0xD1681F364C1BBAL,0x36566043F11C2L,0x53D3001L};
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const BIG CURVE_Pya= {0x33216A9772A299L,0xF0936EA3484E68L,0xFEF918406479DFL,0xB09E6FB2EE06BBL,0x15727970L};
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const BIG CURVE_Pyb= {0x1BC11F9C49E8CDL,0x56091A061ADC4L,0x7F56070166D320L,0x2AC189FD57BD7L,0x11BCB56CL};
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const BIG CURVE_W[2]= {{0x546349162FEB83L,0xB40381200L,0x6000L,0x0L,0x0L},{0x7802561L,0x80L,0x0L,0x0L,0x0L}};
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const BIG CURVE_SB[2][2]= {{{0x5463491DB010E4L,0xB40381280L,0x6000L,0x0L,0x0L},{0x7802561L,0x80L,0x0L,0x0L,0x0L}},{{0x7802561L,0x80L,0x0L,0x0L,0x0L},{0xBD5D5D20BB33EAL,0xD6EE0188CEBCBDL,0x647A6366D2643FL,0x8702A0DB0BDDFL,0x24000000L}}};
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const BIG CURVE_WB[4]= {{0x1C2118567A84B0L,0x3C012B040L,0x2000L,0x0L,0x0L},{0xCDF995BE220475L,0x94EDA8CA7F9A36L,0x8702A0DC07EL,0x300000L,0x0L},{0x66FCCAE0F10B93L,0x4A76D4653FCD3BL,0x4381506E03FL,0x180000L,0x0L},{0x1C21185DFAAA11L,0x3C012B0C0L,0x2000L,0x0L,0x0L}};
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const BIG CURVE_BB[4][4]= {{{0x11C0A6332B0CBDL,0xD6EE0CC906CE7EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L},{0x11C0A6332B0CBCL,0xD6EE0CC906CE7EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L},{0x11C0A6332B0CBCL,0xD6EE0CC906CE7EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L},{0x7802562L,0x80L,0x0L,0x0L,0x0L}},{{0x7802561L,0x80L,0x0L,0x0L,0x0L},{0x11C0A6332B0CBCL,0xD6EE0CC906CE7EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L},{0x11C0A6332B0CBDL,0xD6EE0CC906CE7EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L},{0x11C0A6332B0CBCL,0xD6EE0CC906CE7EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L}},{{0x7802562L,0x80L,0x0L,0x0L,0x0L},{0x7802561L,0x80L,0x0L,0x0L,0x0L},{0x7802561L,0x80L,0x0L,0x0L,0x0L},{0x7802561L,0x80L,0x0L,0x0L,0x0L}},{{0x3C012B2L,0x40L,0x0L,0x0L,0x0L},{0xF004AC2L,0x100L,0x0L,0x0L,0x0L},{0x11C0A62F6AFA0AL,0xD6EE0CC906CE3EL,0x647A6366D2C43FL,0x8702A0DB0BDDFL,0x24000000L},{0x3C012B2L,0x40L,0x0L,0x0L,0x0L}}};
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#endif
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}
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