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rom_curve_BN254.c
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rom_curve_BN254.c
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/*
Licensed to the Apache Software Foundation (ASF) under one
or more contributor license agreements. See the NOTICE file
distributed with this work for additional information
regarding copyright ownership. The ASF licenses this file
to you under the Apache License, Version 2.0 (the
"License"); you may not use this file except in compliance
with the License. You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing,
software distributed under the License is distributed on an
"AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
KIND, either express or implied. See the License for the
specific language governing permissions and limitations
under the License.
*/
#include "arch.h"
#include "ecp_BN254.h"
/* Curve BN254 - Pairing friendly BN curve */
/* Nogami's fast curve */
#if CHUNK==16
const int CURVE_Cof_I_BN254= 1;
const int CURVE_A_BN254= 0;
const int CURVE_B_I_BN254= 2;
const BIG_256_13 CURVE_B_BN254= {0x2,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_13 CURVE_Order_BN254= {0xD,0x0,0x0,0x0,0xA10,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A};
const BIG_256_13 CURVE_Gx_BN254= {0x12,0x0,0x0,0x0,0x1A70,0x9,0x0,0x0,0x100,0x309,0x2,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A};
const BIG_256_13 CURVE_Gy_BN254= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_13 CURVE_Bnx_BN254= {0x1,0x0,0x0,0x0,0x408,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_13 CURVE_Cof_BN254= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_13 CURVE_Cru_BN254= {0x7,0x0,0x0,0x0,0xCD8,0x3,0x0,0x0,0x900,0x1248,0x0,0x0,0x400,0x19B1,0x126,0x0,0x0,0x0,0x0,0x0};
const BIG_256_13 CURVE_Pxa_BN254= {0x1B2B,0x1F,0x932,0x1C84,0x191E,0x1F86,0x262,0x1769,0x48B,0x1523,0x1B6D,0x18C3,0x7E8,0x6C6,0x1FAE,0x16C5,0x119E,0x5DA,0x684,0xC};
const BIG_256_13 CURVE_Pxb_BN254= {0xCF3,0x1EAA,0x1079,0x1869,0x10D8,0x25B,0x18DE,0xD75,0xD74,0x18FA,0xA96,0x1305,0x18C5,0x553,0xCC4,0xF06,0x1A73,0x17CD,0x5AA,0xA};
const BIG_256_13 CURVE_Pya_BN254= {0xB9A,0xE69,0x1E24,0x1C0,0x119F,0x4DE,0x16F8,0x1CD7,0x1D0A,0x194D,0x88,0x1319,0x966,0x870,0xE6A,0x1268,0xBAF,0x1D03,0x625,0x4};
const BIG_256_13 CURVE_Pyb_BN254= {0xE9B,0x19D6,0x1B1A,0x1A35,0x18A2,0x4AB,0x1CE7,0x1FFA,0x1006,0x1D84,0x34D,0xBE7,0x56F,0x16A2,0x1A3D,0x2A4,0x1C8B,0x1873,0xECA,0x1D};
const BIG_256_13 CURVE_W_BN254[2]= {{0x3,0x0,0x0,0x0,0x40,0x1,0x0,0x0,0x180,0x30C,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
const BIG_256_13 CURVE_SB_BN254[2][2]= {{{0x4,0x0,0x0,0x0,0x850,0x1,0x0,0x0,0x180,0x30C,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xA,0x0,0x0,0x0,0x9D0,0x7,0x0,0x0,0x1E00,0x1CF0,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A}}};
const BIG_256_13 CURVE_WB_BN254[4]= {{0x0,0x0,0x0,0x0,0x408,0x0,0x0,0x0,0x80,0x104,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x5,0x0,0x0,0x0,0x14A8,0x2,0x0,0x0,0x700,0xE38,0x0,0x0,0x1800,0x1120,0xC4,0x0,0x0,0x0,0x0,0x0},{0x3,0x0,0x0,0x0,0xC58,0x1,0x0,0x0,0x380,0x71C,0x0,0x0,0xC00,0x890,0x62,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x0,0x0,0xC18,0x0,0x0,0x0,0x80,0x104,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
const BIG_256_13 CURVE_BB_BN254[4][4]= {{{0xD,0x0,0x0,0x0,0x608,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A},{0xC,0x0,0x0,0x0,0x608,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A},{0xC,0x0,0x0,0x0,0x608,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A},{0x2,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xC,0x0,0x0,0x0,0x608,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A},{0xD,0x0,0x0,0x0,0x608,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A},{0xC,0x0,0x0,0x0,0x608,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A}},{{0x2,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x0,0x0,0x810,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x2,0x0,0x0,0x0,0x408,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x2,0x0,0x0,0x0,0x1020,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xA,0x0,0x0,0x0,0x200,0x8,0x0,0x0,0x1F80,0x1FFC,0x1,0x0,0x1800,0x1A26,0x6E8,0x0,0x0,0x412,0x8D9,0x4A},{0x2,0x0,0x0,0x0,0x408,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}}};
#endif
#if CHUNK==32
const int CURVE_Cof_I_BN254= 1;
const int CURVE_A_BN254= 0;
const int CURVE_B_I_BN254= 2;
const BIG_256_28 CURVE_B_BN254= {0x2,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_28 CURVE_Order_BN254= {0xD,0x0,0x10A1,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2};
const BIG_256_28 CURVE_Gx_BN254= {0x12,0x0,0x13A7,0x0,0x86121,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2};
const BIG_256_28 CURVE_Gy_BN254= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_28 CURVE_Bnx_BN254= {0x1,0x8000000,0x40,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_28 CURVE_Cof_BN254= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
const BIG_256_28 CURVE_Cru_BN254= {0x7,0x8000000,0x6CD,0x0,0x24909,0x4000000,0x49B362,0x0,0x0,0x0};
const BIG_256_28 CURVE_Pxa_BN254= {0x803FB2B,0xEE4224C,0x8BF0D91,0x8BBB489,0xDB6A464,0x7E8C61E,0xFEB8D8C,0x519EB62,0x61A10BB,0x0};
const BIG_256_28 CURVE_Pxb_BN254= {0x7D54CF3,0x8C34C1E,0x784B70D,0x746BAE3,0xA5B1F4D,0x8C5982A,0x3310AA7,0xBA73783,0x516AAF9,0x0};
const BIG_256_28 CURVE_Pya_BN254= {0x1CD2B9A,0xF0E0789,0xE09BD19,0xAE6BDB,0x22329BD,0x96698C8,0x39A90E0,0x6BAF934,0x21897A0,0x0};
const BIG_256_28 CURVE_Pyb_BN254= {0xB3ACE9B,0x2D1AEC6,0x9C9578A,0x6FFD73,0xD37B090,0x56F5F38,0x68F6D44,0x7C8B152,0xEBB2B0E,0x0};
const BIG_256_28 CURVE_W_BN254[2]= {{0x3,0x0,0x204,0x8000000,0x6181,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
const BIG_256_28 CURVE_SB_BN254[2][2]= {{{0x4,0x0,0x285,0x8000000,0x6181,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xA,0x0,0xE9D,0x0,0x79E1E,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2}}};
const BIG_256_28 CURVE_WB_BN254[4]= {{0x0,0x8000000,0x40,0x8000000,0x2080,0x0,0x0,0x0,0x0,0x0},{0x5,0x8000000,0x54A,0x0,0x1C707,0x8000000,0x312241,0x0,0x0,0x0},{0x3,0x8000000,0x2C5,0x8000000,0xE383,0xC000000,0x189120,0x0,0x0,0x0},{0x1,0x8000000,0xC1,0x8000000,0x2080,0x0,0x0,0x0,0x0,0x0}};
const BIG_256_28 CURVE_BB_BN254[4][4]= {{{0xD,0x8000000,0x1060,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2},{0xC,0x8000000,0x1060,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2},{0xC,0x8000000,0x1060,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2},{0x2,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xC,0x8000000,0x1060,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2},{0xD,0x8000000,0x1060,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2},{0xC,0x8000000,0x1060,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2}},{{0x2,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1,0x0,0x81,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},{{0x2,0x8000000,0x40,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x2,0x0,0x102,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0xA,0x0,0x1020,0x8000000,0x7FF9F,0x8000000,0x1BA344D,0x4000000,0x5236482,0x2},{0x2,0x8000000,0x40,0x0,0x0,0x0,0x0,0x0,0x0,0x0}}};
#endif
#if CHUNK==64
const int CURVE_Cof_I_BN254= 1;
const int CURVE_A_BN254= 0;
const int CURVE_B_I_BN254= 2;
const BIG_256_56 CURVE_B_BN254= {0x2L,0x0L,0x0L,0x0L,0x0L};
const BIG_256_56 CURVE_Order_BN254= {0xDL,0x800000000010A1L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L};
const BIG_256_56 CURVE_Gx_BN254= {0x12L,0x13A7L,0x80000000086121L,0x40000001BA344DL,0x25236482L};
const BIG_256_56 CURVE_Gy_BN254= {0x1L,0x0L,0x0L,0x0L,0x0L};
const BIG_256_56 CURVE_Bnx_BN254= {0x80000000000001L,0x40L,0x0L,0x0L,0x0L};
const BIG_256_56 CURVE_Cof_BN254= {0x1L,0x0L,0x0L,0x0L,0x0L};
const BIG_256_56 CURVE_Cru_BN254= {0x80000000000007L,0x6CDL,0x40000000024909L,0x49B362L,0x0L};
const BIG_256_56 CURVE_Pxa_BN254= {0xEE4224C803FB2BL,0x8BBB4898BF0D91L,0x7E8C61EDB6A464L,0x519EB62FEB8D8CL,0x61A10BBL};
const BIG_256_56 CURVE_Pxb_BN254= {0x8C34C1E7D54CF3L,0x746BAE3784B70DL,0x8C5982AA5B1F4DL,0xBA737833310AA7L,0x516AAF9L};
const BIG_256_56 CURVE_Pya_BN254= {0xF0E07891CD2B9AL,0xAE6BDBE09BD19L,0x96698C822329BDL,0x6BAF93439A90E0L,0x21897A0L};
const BIG_256_56 CURVE_Pyb_BN254= {0x2D1AEC6B3ACE9BL,0x6FFD739C9578AL,0x56F5F38D37B090L,0x7C8B15268F6D44L,0xEBB2B0EL};
const BIG_256_56 CURVE_W_BN254[2]= {{0x3L,0x80000000000204L,0x6181L,0x0L,0x0L},{0x1L,0x81L,0x0L,0x0L,0x0L}};
const BIG_256_56 CURVE_SB_BN254[2][2]= {{{0x4L,0x80000000000285L,0x6181L,0x0L,0x0L},{0x1L,0x81L,0x0L,0x0L,0x0L}},{{0x1L,0x81L,0x0L,0x0L,0x0L},{0xAL,0xE9DL,0x80000000079E1EL,0x40000001BA344DL,0x25236482L}}};
const BIG_256_56 CURVE_WB_BN254[4]= {{0x80000000000000L,0x80000000000040L,0x2080L,0x0L,0x0L},{0x80000000000005L,0x54AL,0x8000000001C707L,0x312241L,0x0L},{0x80000000000003L,0x800000000002C5L,0xC000000000E383L,0x189120L,0x0L},{0x80000000000001L,0x800000000000C1L,0x2080L,0x0L,0x0L}};
const BIG_256_56 CURVE_BB_BN254[4][4]= {{{0x8000000000000DL,0x80000000001060L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L},{0x8000000000000CL,0x80000000001060L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L},{0x8000000000000CL,0x80000000001060L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L},{0x2L,0x81L,0x0L,0x0L,0x0L}},{{0x1L,0x81L,0x0L,0x0L,0x0L},{0x8000000000000CL,0x80000000001060L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L},{0x8000000000000DL,0x80000000001060L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L},{0x8000000000000CL,0x80000000001060L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L}},{{0x2L,0x81L,0x0L,0x0L,0x0L},{0x1L,0x81L,0x0L,0x0L,0x0L},{0x1L,0x81L,0x0L,0x0L,0x0L},{0x1L,0x81L,0x0L,0x0L,0x0L}},{{0x80000000000002L,0x40L,0x0L,0x0L,0x0L},{0x2L,0x102L,0x0L,0x0L,0x0L},{0xAL,0x80000000001020L,0x8000000007FF9FL,0x40000001BA344DL,0x25236482L},{0x80000000000002L,0x40L,0x0L,0x0L,0x0L}}};
#endif