110 lines
11 KiB
C++
110 lines
11 KiB
C++
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/*
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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_FP512BN.h"
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namespace FP512BN {
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/* Curve FP512BN - Pairing friendly BN curve */
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#if CHUNK==16
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#error Not supported
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#endif
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#if CHUNK==32
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using namespace B512_29;
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const int CURVE_Cof_I=1;
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const int CURVE_B_I= 3;
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const BIG CURVE_B= {0x3,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Order= {0x119A09ED,0x153252FA,0x1E68AD01,0x627C09,0x79A34A1,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF};
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const BIG CURVE_Gx= {0x1,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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const BIG CURVE_Gy= {0x2,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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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};
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const BIG CURVE_Bnx= {0x1E1BD80F,0x59835DA,0xC3DFC04,0x5EB8061,0x688,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0};
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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};
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const BIG CURVE_Pxa= {0xDB646B5,0x183D4B70,0x1CBFFA3,0x11F0E632,0x1C78F221,0x1F10DE5D,0x171B715E,0xF0C6A29,0x10B02453,0xBE63C66,0xE6D5F69,0x166B1E1B,0x4BBBD29,0x179E750F,0x6E9D04,0xC912B10,0x1339E138,0x1D8B2};
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const BIG CURVE_Pxb= {0x1A8AE0E9,0xDAE5F7E,0x22446CF,0x1948239B,0x15ADCE40,0xB709C1E,0x18357943,0xE50AA4D,0x19781E22,0x12B35CA6,0x11DAA2C0,0x18D8DDE4,0x5EA656D,0x15F45A41,0xD311A02,0xCFCD913,0x13CBF850,0x240E0};
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const BIG CURVE_Pya= {0xDDE67A1,0x12401895,0x17BEE178,0x142F5AC2,0xB7BC5CD,0x92A1404,0x1A3B748C,0x17BD82A7,0x14B6CD18,0xAC34CE,0x1740FB97,0x1ECC15F9,0x17085B1D,0x1D1BA793,0x1BD6AC32,0x18F70525,0xC84C827,0x3780F};
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const BIG CURVE_Pyb= {0x84F8E8B,0xC5B8C36,0xFDD85A1,0xB84449,0x19C08DFF,0x56BF713,0x1C5290C4,0x187C5CA0,0x1DA2897F,0x24B0CA0,0x326D8F4,0x2310CF6,0x1021438C,0xFBAEC8F,0xD9030C5,0x1CF06358,0x1CEC8B04,0x28D1D};
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const BIG CURVE_W[2]= {{0x9834583,0x887C4BA,0x5A85CFC,0xBF7223A,0xF63FE96,0x1FFFFFFE,0x1FFFFFFF,0x1FFFFFFF,0xFFFFFF,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x1C37B01F,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
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const BIG CURVE_SB[2][2]= {{{0xD4B9564,0x1D575904,0xD2C64F3,0x202177,0xF63F186,0x1FFFFFFE,0x1FFFFFFF,0x1FFFFFFF,0xFFFFFF,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x156259CE,0xA01E744,0x5ECB4F9,0x148B7B47,0x79A2790,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF}},{{0x1C37B01F,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x9834583,0x887C4BA,0x5A85CFC,0xBF7223A,0xF63FE96,0x1FFFFFFE,0x1FFFFFFF,0x1FFFFFFF,0xFFFFFF,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}}};
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const BIG CURVE_WB[4]= {{0x155A29F0,0x16D59B55,0xF4C305,0x18858C0B,0x5215FBF,0xAAAAAAA,0x15555555,0xAAAAAAA,0x555555,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},{0x2355D4B,0x1758095D,0x1FE13C5F,0x41F83FA,0xBB5E5CF,0x97D4EF1,0xB503D62,0x172C0C9B,0x16315274,0x15E1A9A8,0x859835D,0x2C3DFC0,0x105EB806,0x68,0x0,0x0,0x0,0x0},{0x289AAD,0x1E781F9C,0x60F9C31,0x1505822E,0x15DAF62B,0x4BEA778,0x15A81EB1,0xB96064D,0xB18A93A,0x1AF0D4D4,0x42CC1AE,0x161EFE0,0x82F5C03,0x34,0x0,0x0,0x0,0x0},{0x192279D1,0xBA52F9F,0x878CAFD,0xCAE8B48,0x52152AF,0xAAAAAAA,0x15555555,0xAAAAAAA,0x555555,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}};
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const BIG CURVE_BB[4][4]= {{{0x1E1BD810,0x59835DA,0xC3DFC04,0x5EB8061,0x688,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x1E1BD80F,0x59835DA,0xC3DFC04,0x5EB8061,0x688,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x1E1BD80F,0x59835DA,0xC3DFC04,0x5EB8061,0x688,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x156259CF,0xA01E744,0x5ECB4F9,0x148B7B47,0x79A2790,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF}},
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{{0x1C37B01F,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x137E31DE,0xF9A1D1F,0x122AB0FD,0x1A76FBA8,0x79A2E18,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF},
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{0x137E31DD,0xF9A1D1F,0x122AB0FD,0x1A76FBA8,0x79A2E18,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF},
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{0x137E31DE,0xF9A1D1F,0x122AB0FD,0x1A76FBA8,0x79A2E18,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF}},
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{{0x1C37B01E,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x1C37B01F,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x1C37B01F,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x1C37B01F,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0}},
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{{0x137E31DF,0xF9A1D1F,0x122AB0FD,0x1A76FBA8,0x79A2E18,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF},
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{0x192AA9AF,0x1ED17B8E,0xD70BCF0,0x8B47A84,0x79A1A80,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF},
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{0x1C37B01D,0xB306BB5,0x187BF808,0xBD700C2,0xD10,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0},
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{0x137E31DF,0xF9A1D1F,0x122AB0FD,0x1A76FBA8,0x79A2E18,0x12EF5593,0x2E39231,0x3D597D3,0x45146CF,0x88D877A,0x102EF8F0,0x1196A60F,0x1C60BA1D,0x1CF63F80,0x1FFFFFFF,0x1FFFFFFF,0x1FFFFFFF,0x7FFFF}}};
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#endif
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#if CHUNK==64
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using namespace B512_60;
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const int CURVE_Cof_I=1;
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const int CURVE_B_I= 3;
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const BIG CURVE_B= {0x3L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Order= {0x6A64A5F519A09EDL,0x10313E04F9A2B40L,0xC65DEAB2679A34AL,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL};
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const BIG CURVE_Gx= {0x1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Gy= {0x2L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_HTPC= {0x1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Bnx= {0xB306BB5E1BD80FL,0x82F5C030B0F7F01L,0x68L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Cof= {0x1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L};
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const BIG CURVE_Pxa= {0xF07A96E0DB646B5L,0x18F87319072FFE8L,0x7BE21BCBBC78F22L,0x537863514DC6DC5L,0xDA57CC78CD0B024L,0xD29B358F0DB9B57L,0x7412F3CEA1E4BBBL,0xE138648958801BAL,0x3B165339L};
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const BIG CURVE_Pxb= {0xDB5CBEFDA8AE0E9L,0xCA411CD88911B3L,0xD6E1383D5ADCE4L,0x227285526E0D5E5L,0xB02566B94D9781EL,0x56DC6C6EF2476A8L,0x680ABE8B4825EA6L,0xF85067E6C89B4C4L,0x481C13CBL};
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const BIG CURVE_Pya= {0x2480312ADDE67A1L,0xDA17AD615EFB85EL,0x312542808B7BC5CL,0x18BDEC153E8EDD2L,0xE5C158699D4B6CDL,0xB1DF660AFCDD03EL,0xB0CBA374F277085L,0xC827C7B8292EF5AL,0x6F01EC84L};
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const BIG CURVE_Pyb= {0x58B7186C84F8E8BL,0xF05C2224BF76168L,0x10AD7EE279C08DFL,0x7FC3E2E50714A43L,0x3D04961941DA289L,0x38C118867B0C9B6L,0xC315F75D91F0214L,0x8B04E7831AC3640L,0x51A3BCECL};
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const BIG CURVE_W[2]= {{0x110F89749834583L,0x65FB911D16A173FL,0xFFFFFFFFCF63FE9L,0xFFFFFFFFFFFFFFFL,0xFFFFL,0x0L,0x0L,0x0L,0x0L},{0x1660D76BC37B01FL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L}};
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const BIG CURVE_SB[2][2]= {{{0xFAAEB208D4B9564L,0x601010BBB4B193CL,0xFFFFFFFFCF63F18L,0xFFFFFFFFFFFFFFFL,0xFFFFL,0x0L,0x0L,0x0L,0x0L},{0x5403CE8956259CEL,0xA45BDA397B2D3EL,0xC65DEAB2679A279L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL}},{{0x1660D76BC37B01FL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x110F89749834583L,0x65FB911D16A173FL,0xFFFFFFFFCF63FE9L,0xFFFFFFFFFFFFFFFL,0xFFFFL,0x0L,0x0L,0x0L,0x0L}}};
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const BIG CURVE_WB[4]= {{0x6DAB36AB55A29F0L,0xFC42C60583D30C1L,0x5555555545215FBL,0x555555555555555L,0x5555L,0x0L,0x0L,0x0L,0x0L},
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{0xEEB012BA2355D4BL,0xF20FC1FD7F84F17L,0x892FA9DE2BB5E5CL,0x74B96064DAD40F5L,0xD76BC3535163152L,0x806161EFE021660L,0xD105EBL,0x0L,0x0L},
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{0x7CF03F380289AADL,0xBA82C117183E70CL,0xC497D4EF15DAF62L,0x3A5CB0326D6A07AL,0x6BB5E1A9A8B18A9L,0xC030B0F7F010B30L,0x6882F5L,0x0L,0x0L},
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{0x574A5F3F92279D1L,0xF65745A421E32BFL,0x55555555452152AL,0x555555555555555L,0x5555L,0x0L,0x0L,0x0L,0x0L}};
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const BIG CURVE_BB[4][4]= {{{0xB306BB5E1BD810L,0x82F5C030B0F7F01L,0x68L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0xB306BB5E1BD80FL,0x82F5C030B0F7F01L,0x68L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0xB306BB5E1BD80FL,0x82F5C030B0F7F01L,0x68L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x5403CE8956259CFL,0xA45BDA397B2D3EL,0xC65DEAB2679A279L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL}},
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{{0x1660D76BC37B01FL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x5F343A3F37E31DEL,0x8D3B7DD448AAC3FL,0xC65DEAB2679A2E1L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL},{0x5F343A3F37E31DDL,0x8D3B7DD448AAC3FL,0xC65DEAB2679A2E1L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL},{0x5F343A3F37E31DEL,0x8D3B7DD448AAC3FL,0xC65DEAB2679A2E1L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL}},
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{{0x1660D76BC37B01EL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x1660D76BC37B01FL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x1660D76BC37B01FL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x1660D76BC37B01FL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L}},
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{{0x5F343A3F37E31DFL,0x8D3B7DD448AAC3FL,0xC65DEAB2679A2E1L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL},{0x3DA2F71D92AA9AFL,0x45A3D4235C2F3CL,0xC65DEAB2679A1A8L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL},{0x1660D76BC37B01DL,0x5EB806161EFE02L,0xD1L,0x0L,0x0L,0x0L,0x0L,0x0L,0x0L},{0x5F343A3F37E31DFL,0x8D3B7DD448AAC3FL,0xC65DEAB2679A2E1L,0xCF1EACBE98B8E48L,0x3C111B0EF445146L,0xA1D8CB5307C0BBEL,0xFFFF9EC7F01C60BL,0xFFFFFFFFFFFFFFFL,0xFFFFFFFFL}}};
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#endif
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}
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