98f29466dc
Reviewed-by: Matt Caswell <matt@openssl.org> Reviewed-by: Richard Levitte <levitte@openssl.org> (Merged from https://github.com/openssl/openssl/pull/8417)
1483 lines
97 KiB
C
1483 lines
97 KiB
C
/*
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* Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
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* Copyright 2015-2016 Cryptography Research, Inc.
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*
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* Licensed under the Apache License 2.0 (the "License"). You may not use
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* this file except in compliance with the License. You can obtain a copy
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* in the file LICENSE in the source distribution or at
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* https://www.openssl.org/source/license.html
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*
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* Originally written by Mike Hamburg
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*/
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#include "field.h"
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#include "point_448.h"
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static const curve448_precomputed_s curve448_precomputed_base_table = {
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{
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{{
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{FIELD_LITERAL(0x00cc3b062366f4ccULL, 0x003d6e34e314aa3cULL,
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0x00d51c0a7521774dULL, 0x0094e060eec6ab8bULL,
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0x00d21291b4d80082ULL, 0x00befed12b55ef1eULL,
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0x00c3dd2df5c94518ULL, 0x00e0a7b112b8d4e6ULL)},
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{FIELD_LITERAL(0x0019eb5608d8723aULL, 0x00d1bab52fb3aedbULL,
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0x00270a7311ebc90cULL, 0x0037c12b91be7f13ULL,
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0x005be16cd8b5c704ULL, 0x003e181acda888e1ULL,
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0x00bc1f00fc3fc6d0ULL, 0x00d3839bfa319e20ULL)},
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{FIELD_LITERAL(0x003caeb88611909fULL, 0x00ea8b378c4df3d4ULL,
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0x00b3295b95a5a19aULL, 0x00a65f97514bdfb5ULL,
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0x00b39efba743cab1ULL, 0x0016ba98b862fd2dULL,
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0x0001508812ee71d7ULL, 0x000a75740eea114aULL)},
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}}, {{
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{FIELD_LITERAL(0x00ebcf0eb649f823ULL, 0x00166d332e98ea03ULL,
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0x0059ddf64f5cd5f6ULL, 0x0047763123d9471bULL,
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0x00a64065c53ef62fULL, 0x00978e44c480153dULL,
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0x000b5b2a0265f194ULL, 0x0046a24b9f32965aULL)},
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{FIELD_LITERAL(0x00b9eef787034df0ULL, 0x0020bc24de3390cdULL,
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0x000022160bae99bbULL, 0x00ae66e886e97946ULL,
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0x0048d4bbe02cbb8bULL, 0x0072ba97b34e38d4ULL,
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0x00eae7ec8f03e85aULL, 0x005ba92ecf808b2cULL)},
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{FIELD_LITERAL(0x00c9cfbbe74258fdULL, 0x00843a979ea9eaa7ULL,
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0x000cbb4371cfbe90ULL, 0x0059bac8f7f0a628ULL,
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0x004b3dff882ff530ULL, 0x0011869df4d90733ULL,
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0x00595aa71f4abfc2ULL, 0x0070e2d38990c2e6ULL)},
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}}, {{
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{FIELD_LITERAL(0x00de2010c0a01733ULL, 0x00c739a612e24297ULL,
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0x00a7212643141d7cULL, 0x00f88444f6b67c11ULL,
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0x00484b7b16ec28f2ULL, 0x009c1b8856af9c68ULL,
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0x00ff4669591fe9d6ULL, 0x0054974be08a32c8ULL)},
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{FIELD_LITERAL(0x0010de3fd682ceedULL, 0x008c07642d83ca4eULL,
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0x0013bb064e00a1ccULL, 0x009411ae27870e11ULL,
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0x00ea8e5b4d531223ULL, 0x0032fe7d2aaece2eULL,
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0x00d989e243e7bb41ULL, 0x000fe79a508e9b8bULL)},
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{FIELD_LITERAL(0x005e0426b9bfc5b1ULL, 0x0041a5b1d29ee4faULL,
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0x0015b0def7774391ULL, 0x00bc164f1f51af01ULL,
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0x00d543b0942797b9ULL, 0x003c129b6398099cULL,
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0x002b114c6e5adf18ULL, 0x00b4e630e4018a7bULL)},
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}}, {{
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{FIELD_LITERAL(0x00d490afc95f8420ULL, 0x00b096bf50c1d9b9ULL,
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0x00799fd707679866ULL, 0x007c74d9334afbeaULL,
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0x00efaa8be80ff4edULL, 0x0075c4943bb81694ULL,
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0x00c21c2fca161f36ULL, 0x00e77035d492bfeeULL)},
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{FIELD_LITERAL(0x006658a190dd6661ULL, 0x00e0e9bab38609a6ULL,
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0x0028895c802237edULL, 0x006a0229c494f587ULL,
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0x002dcde96c9916b7ULL, 0x00d158822de16218ULL,
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0x00173b917a06856fULL, 0x00ca78a79ae07326ULL)},
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{FIELD_LITERAL(0x00e35bfc79caced4ULL, 0x0087238a3e1fe3bbULL,
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0x00bcbf0ff4ceff5bULL, 0x00a19c1c94099b91ULL,
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0x0071e102b49db976ULL, 0x0059e3d004eada1eULL,
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0x008da78afa58a47eULL, 0x00579c8ebf269187ULL)},
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}}, {{
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{FIELD_LITERAL(0x00a16c2905eee75fULL, 0x009d4bcaea2c7e1dULL,
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0x00d3bd79bfad19dfULL, 0x0050da745193342cULL,
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0x006abdb8f6b29ab1ULL, 0x00a24fe0a4fef7efULL,
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0x0063730da1057dfbULL, 0x00a08c312c8eb108ULL)},
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{FIELD_LITERAL(0x00b583be005375beULL, 0x00a40c8f8a4e3df4ULL,
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0x003fac4a8f5bdbf7ULL, 0x00d4481d872cd718ULL,
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0x004dc8749cdbaefeULL, 0x00cce740d5e5c975ULL,
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0x000b1c1f4241fd21ULL, 0x00a76de1b4e1cd07ULL)},
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{FIELD_LITERAL(0x007a076500d30b62ULL, 0x000a6e117b7f090fULL,
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0x00c8712ae7eebd9aULL, 0x000fbd6c1d5f6ff7ULL,
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0x003a7977246ebf11ULL, 0x00166ed969c6600eULL,
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0x00aa42e469c98becULL, 0x00dc58f307cf0666ULL)},
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}}, {{
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{FIELD_LITERAL(0x004b491f65a9a28bULL, 0x006a10309e8a55b7ULL,
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0x00b67210185187efULL, 0x00cf6497b12d9b8fULL,
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0x0085778c56e2b1baULL, 0x0015b4c07a814d85ULL,
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0x00686479e62da561ULL, 0x008de5d88f114916ULL)},
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{FIELD_LITERAL(0x00e37c88d6bba7b1ULL, 0x003e4577e1b8d433ULL,
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0x0050d8ea5f510ec0ULL, 0x0042fc9f2da9ef59ULL,
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0x003bd074c1141420ULL, 0x00561b8b7b68774eULL,
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0x00232e5e5d1013a3ULL, 0x006b7f2cb3d7e73fULL)},
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{FIELD_LITERAL(0x004bdd0f0b41e6a0ULL, 0x001773057c405d24ULL,
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0x006029f99915bd97ULL, 0x006a5ba70a17fe2fULL,
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0x0046111977df7e08ULL, 0x004d8124c89fb6b7ULL,
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0x00580983b2bb2724ULL, 0x00207bf330d6f3feULL)},
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}}, {{
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{FIELD_LITERAL(0x007efdc93972a48bULL, 0x002f5e50e78d5feeULL,
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0x0080dc11d61c7fe5ULL, 0x0065aa598707245bULL,
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0x009abba2300641beULL, 0x000c68787656543aULL,
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0x00ffe0fef2dc0a17ULL, 0x00007ffbd6cb4f3aULL)},
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{FIELD_LITERAL(0x0036012f2b836efcULL, 0x00458c126d6b5fbcULL,
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0x00a34436d719ad1eULL, 0x0097be6167117deaULL,
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0x0009c219c879cff3ULL, 0x0065564493e60755ULL,
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0x00993ac94a8cdec0ULL, 0x002d4885a4d0dbafULL)},
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{FIELD_LITERAL(0x00598b60b4c068baULL, 0x00c547a0be7f1afdULL,
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0x009582164acf12afULL, 0x00af4acac4fbbe40ULL,
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0x005f6ca7c539121aULL, 0x003b6e752ebf9d66ULL,
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0x00f08a30d5cac5d4ULL, 0x00e399bb5f97c5a9ULL)},
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}}, {{
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{FIELD_LITERAL(0x007445a0409c0a66ULL, 0x00a65c369f3829c0ULL,
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0x0031d248a4f74826ULL, 0x006817f34defbe8eULL,
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0x00649741d95ebf2eULL, 0x00d46466ab16b397ULL,
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0x00fdc35703bee414ULL, 0x00343b43334525f8ULL)},
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{FIELD_LITERAL(0x001796bea93f6401ULL, 0x00090c5a42e85269ULL,
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0x00672412ba1252edULL, 0x001201d47b6de7deULL,
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0x006877bccfe66497ULL, 0x00b554fd97a4c161ULL,
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0x009753f42dbac3cfULL, 0x00e983e3e378270aULL)},
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{FIELD_LITERAL(0x00ac3eff18849872ULL, 0x00f0eea3bff05690ULL,
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0x00a6d72c21dd505dULL, 0x001b832642424169ULL,
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0x00a6813017b540e5ULL, 0x00a744bd71b385cdULL,
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0x0022a7d089130a7bULL, 0x004edeec9a133486ULL)},
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}}, {{
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{FIELD_LITERAL(0x00b2d6729196e8a9ULL, 0x0088a9bb2031cef4ULL,
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0x00579e7787dc1567ULL, 0x0030f49feb059190ULL,
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0x00a0b1d69c7f7d8fULL, 0x0040bdcc6d9d806fULL,
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0x00d76c4037edd095ULL, 0x00bbf24376415dd7ULL)},
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{FIELD_LITERAL(0x00240465ff5a7197ULL, 0x00bb97e76caf27d0ULL,
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0x004b4edbf8116d39ULL, 0x001d8586f708cbaaULL,
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0x000f8ee8ff8e4a50ULL, 0x00dde5a1945dd622ULL,
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0x00e6fc1c0957e07cULL, 0x0041c9cdabfd88a0ULL)},
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{FIELD_LITERAL(0x005344b0bf5b548cULL, 0x002957d0b705cc99ULL,
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0x00f586a70390553dULL, 0x0075b3229f583cc3ULL,
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0x00a1aa78227490e4ULL, 0x001bf09cf7957717ULL,
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0x00cf6bf344325f52ULL, 0x0065bd1c23ca3ecfULL)},
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}}, {{
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{FIELD_LITERAL(0x009bff3b3239363cULL, 0x00e17368796ef7c0ULL,
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0x00528b0fe0971f3aULL, 0x0008014fc8d4a095ULL,
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0x00d09f2e8a521ec4ULL, 0x006713ab5dde5987ULL,
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0x0003015758e0dbb1ULL, 0x00215999f1ba212dULL)},
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{FIELD_LITERAL(0x002c88e93527da0eULL, 0x0077c78f3456aad5ULL,
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0x0071087a0a389d1cULL, 0x00934dac1fb96dbdULL,
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0x008470e801162697ULL, 0x005bc2196cd4ad49ULL,
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0x00e535601d5087c3ULL, 0x00769888700f497fULL)},
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{FIELD_LITERAL(0x00da7a4b557298adULL, 0x0019d2589ea5df76ULL,
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0x00ef3e38be0c6497ULL, 0x00a9644e1312609aULL,
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0x004592f61b2558daULL, 0x0082c1df510d7e46ULL,
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0x0042809a535c0023ULL, 0x00215bcb5afd7757ULL)},
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}}, {{
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{FIELD_LITERAL(0x002b9df55a1a4213ULL, 0x00dcfc3b464a26beULL,
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0x00c4f9e07a8144d5ULL, 0x00c8e0617a92b602ULL,
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0x008e3c93accafae0ULL, 0x00bf1bcb95b2ca60ULL,
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0x004ce2426a613bf3ULL, 0x00266cac58e40921ULL)},
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{FIELD_LITERAL(0x008456d5db76e8f0ULL, 0x0032ca9cab2ce163ULL,
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0x0059f2b8bf91abcfULL, 0x0063c2a021712788ULL,
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0x00f86155af22f72dULL, 0x00db98b2a6c005a0ULL,
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0x00ac6e416a693ac4ULL, 0x007a93572af53226ULL)},
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{FIELD_LITERAL(0x0087767520f0de22ULL, 0x0091f64012279fb5ULL,
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0x001050f1f0644999ULL, 0x004f097a2477ad3cULL,
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0x006b37913a9947bdULL, 0x001a3d78645af241ULL,
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0x0057832bbb3008a7ULL, 0x002c1d902b80dc20ULL)},
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}}, {{
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{FIELD_LITERAL(0x001a6002bf178877ULL, 0x009bce168aa5af50ULL,
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0x005fc318ff04a7f5ULL, 0x0052818f55c36461ULL,
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0x008768f5d4b24afbULL, 0x0037ffbae7b69c85ULL,
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0x0018195a4b61edc0ULL, 0x001e12ea088434b2ULL)},
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{FIELD_LITERAL(0x0047d3f804e7ab07ULL, 0x00a809ab5f905260ULL,
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0x00b3ffc7cdaf306dULL, 0x00746e8ec2d6e509ULL,
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0x00d0dade8887a645ULL, 0x00acceeebde0dd37ULL,
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0x009bc2579054686bULL, 0x0023804f97f1c2bfULL)},
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{FIELD_LITERAL(0x0043e2e2e50b80d7ULL, 0x00143aafe4427e0fULL,
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0x005594aaecab855bULL, 0x008b12ccaaecbc01ULL,
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0x002deeb091082bc3ULL, 0x009cca4be2ae7514ULL,
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0x00142b96e696d047ULL, 0x00ad2a2b1c05256aULL)},
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}}, {{
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{FIELD_LITERAL(0x003914f2f144b78bULL, 0x007a95dd8bee6f68ULL,
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0x00c7f4384d61c8e6ULL, 0x004e51eb60f1bdb2ULL,
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0x00f64be7aa4621d8ULL, 0x006797bfec2f0ac0ULL,
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0x007d17aab3c75900ULL, 0x001893e73cac8bc5ULL)},
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{FIELD_LITERAL(0x00140360b768665bULL, 0x00b68aca4967f977ULL,
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0x0001089b66195ae4ULL, 0x00fe71122185e725ULL,
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0x000bca2618d49637ULL, 0x00a54f0557d7e98aULL,
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0x00cdcd2f91d6f417ULL, 0x00ab8c13741fd793ULL)},
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{FIELD_LITERAL(0x00725ee6b1e549e0ULL, 0x007124a0769777faULL,
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0x000b68fdad07ae42ULL, 0x0085b909cd4952dfULL,
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0x0092d2e3c81606f4ULL, 0x009f22f6cac099a0ULL,
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0x00f59da57f2799a8ULL, 0x00f06c090122f777ULL)},
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}}, {{
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{FIELD_LITERAL(0x00ce0bed0a3532bcULL, 0x001a5048a22df16bULL,
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0x00e31db4cbad8bf1ULL, 0x00e89292120cf00eULL,
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0x007d1dd1a9b00034ULL, 0x00e2a9041ff8f680ULL,
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0x006a4c837ae596e7ULL, 0x00713af1068070b3ULL)},
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{FIELD_LITERAL(0x00c4fe64ce66d04bULL, 0x00b095d52e09b3d7ULL,
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0x00758bbecb1a3a8eULL, 0x00f35cce8d0650c0ULL,
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0x002b878aa5984473ULL, 0x0062e0a3b7544ddcULL,
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0x00b25b290ed116feULL, 0x007b0f6abe0bebf2ULL)},
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{FIELD_LITERAL(0x0081d4e3addae0a8ULL, 0x003410c836c7ffccULL,
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0x00c8129ad89e4314ULL, 0x000e3d5a23922dcdULL,
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0x00d91e46f29c31f3ULL, 0x006c728cde8c5947ULL,
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0x002bc655ba2566c0ULL, 0x002ca94721533108ULL)},
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}}, {{
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{FIELD_LITERAL(0x0051e4b3f764d8a9ULL, 0x0019792d46e904a0ULL,
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0x00853bc13dbc8227ULL, 0x000840208179f12dULL,
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0x0068243474879235ULL, 0x0013856fbfe374d0ULL,
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0x00bda12fe8676424ULL, 0x00bbb43635926eb2ULL)},
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{FIELD_LITERAL(0x0012cdc880a93982ULL, 0x003c495b21cd1b58ULL,
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0x00b7e5c93f22a26eULL, 0x0044aa82dfb99458ULL,
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0x009ba092cdffe9c0ULL, 0x00a14b3ab2083b73ULL,
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0x000271c2f70e1c4bULL, 0x00eea9cac0f66eb8ULL)},
|
|
{FIELD_LITERAL(0x001a1847c4ac5480ULL, 0x00b1b412935bb03aULL,
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0x00f74285983bf2b2ULL, 0x00624138b5b5d0f1ULL,
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0x008820c0b03d38bfULL, 0x00b94e50a18c1572ULL,
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0x0060f6934841798fULL, 0x00c52f5d66d6ebe2ULL)},
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}}, {{
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{FIELD_LITERAL(0x00da23d59f9bcea6ULL, 0x00e0f27007a06a4bULL,
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0x00128b5b43a6758cULL, 0x000cf50190fa8b56ULL,
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0x00fc877aba2b2d72ULL, 0x00623bef52edf53fULL,
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0x00e6af6b819669e2ULL, 0x00e314dc34fcaa4fULL)},
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{FIELD_LITERAL(0x0066e5eddd164d1eULL, 0x00418a7c6fe28238ULL,
|
|
0x0002e2f37e962c25ULL, 0x00f01f56b5975306ULL,
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0x0048842fa503875cULL, 0x0057b0e968078143ULL,
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0x00ff683024f3d134ULL, 0x0082ae28fcad12e4ULL)},
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{FIELD_LITERAL(0x0011ddfd21260e42ULL, 0x00d05b0319a76892ULL,
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0x00183ea4368e9b8fULL, 0x00b0815662affc96ULL,
|
|
0x00b466a5e7ce7c88ULL, 0x00db93b07506e6eeULL,
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0x0033885f82f62401ULL, 0x0086f9090ec9b419ULL)},
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}}, {{
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{FIELD_LITERAL(0x00d95d1c5fcb435aULL, 0x0016d1ed6b5086f9ULL,
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0x00792aa0b7e54d71ULL, 0x0067b65715f1925dULL,
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0x00a219755ec6176bULL, 0x00bc3f026b12c28fULL,
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0x00700c897ffeb93eULL, 0x0089b83f6ec50b46ULL)},
|
|
{FIELD_LITERAL(0x003c97e6384da36eULL, 0x00423d53eac81a09ULL,
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0x00b70d68f3cdce35ULL, 0x00ee7959b354b92cULL,
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0x00f4e9718819c8caULL, 0x009349f12acbffe9ULL,
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0x005aee7b62cb7da6ULL, 0x00d97764154ffc86ULL)},
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{FIELD_LITERAL(0x00526324babb46dcULL, 0x002ee99b38d7bf9eULL,
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0x007ea51794706ef4ULL, 0x00abeb04da6e3c39ULL,
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0x006b457c1d281060ULL, 0x00fe243e9a66c793ULL,
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0x00378de0fb6c6ee4ULL, 0x003e4194b9c3cb93ULL)},
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}}, {{
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{FIELD_LITERAL(0x00fed3cd80ca2292ULL, 0x0015b043a73ca613ULL,
|
|
0x000a9fd7bf9be227ULL, 0x003b5e03de2db983ULL,
|
|
0x005af72d46904ef7ULL, 0x00c0f1b5c49faa99ULL,
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0x00dc86fc3bd305e1ULL, 0x00c92f08c1cb1797ULL)},
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{FIELD_LITERAL(0x0079680ce111ed3bULL, 0x001a1ed82806122cULL,
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|
0x000c2e7466d15df3ULL, 0x002c407f6f7150fdULL,
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0x00c5e7c96b1b0ce3ULL, 0x009aa44626863ff9ULL,
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0x00887b8b5b80be42ULL, 0x00b6023cec964825ULL)},
|
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|
|
0x002efa29d9717478ULL, 0x00f9e928cc8a77baULL,
|
|
0x00c134b458def9efULL, 0x00958a182223fc48ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x000a9ee23c06881fULL, 0x002c727d3d871945ULL,
|
|
0x00f47d971512d24aULL, 0x00671e816f9ef31aULL,
|
|
0x00883af2cfaad673ULL, 0x00601f98583d6c9aULL,
|
|
0x00b435f5adc79655ULL, 0x00ad87b71c04bff2ULL)},
|
|
{FIELD_LITERAL(0x007860d99db787cfULL, 0x00fda8983018f4a8ULL,
|
|
0x008c8866bac4743cULL, 0x00ef471f84c82a3fULL,
|
|
0x00abea5976d3b8e7ULL, 0x00714882896cd015ULL,
|
|
0x00b49fae584ddac5ULL, 0x008e33a1a0b69c81ULL)},
|
|
{FIELD_LITERAL(0x007b6ee2c9e8a9ecULL, 0x002455dbbd89d622ULL,
|
|
0x006490cf4eaab038ULL, 0x00d925f6c3081561ULL,
|
|
0x00153b3047de7382ULL, 0x003b421f8bdceb6fULL,
|
|
0x00761a4a5049da78ULL, 0x00980348c5202433ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x007f8a43da97dd5cULL, 0x00058539c800fc7bULL,
|
|
0x0040f3cf5a28414aULL, 0x00d68dd0d95283d6ULL,
|
|
0x004adce9da90146eULL, 0x00befa41c7d4f908ULL,
|
|
0x007603bc2e3c3060ULL, 0x00bdf360ab3545dbULL)},
|
|
{FIELD_LITERAL(0x00eebfd4e2312cc3ULL, 0x00474b2564e4fc8cULL,
|
|
0x003303ef14b1da9bULL, 0x003c93e0e66beb1dULL,
|
|
0x0013619b0566925aULL, 0x008817c24d901bf3ULL,
|
|
0x00b62bd8898d218bULL, 0x0075a7716f1e88a2ULL)},
|
|
{FIELD_LITERAL(0x0009218da1e6890fULL, 0x0026907f5fd02575ULL,
|
|
0x004dabed5f19d605ULL, 0x003abf181870249dULL,
|
|
0x00b52fd048cc92c4ULL, 0x00b6dd51e415a5c5ULL,
|
|
0x00d9eb82bd2b4014ULL, 0x002c865a43b46b43ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x0070047189452f4cULL, 0x00f7ad12e1ce78d5ULL,
|
|
0x00af1ba51ec44a8bULL, 0x005f39f63e667cd6ULL,
|
|
0x00058eac4648425eULL, 0x00d7fdab42bea03bULL,
|
|
0x0028576a5688de15ULL, 0x00af973209e77c10ULL)},
|
|
{FIELD_LITERAL(0x00c338b915d8fef0ULL, 0x00a893292045c39aULL,
|
|
0x0028ab4f2eba6887ULL, 0x0060743cb519fd61ULL,
|
|
0x0006213964093ac0ULL, 0x007c0b7a43f6266dULL,
|
|
0x008e3557c4fa5bdaULL, 0x002da976de7b8d9dULL)},
|
|
{FIELD_LITERAL(0x0048729f8a8b6dcdULL, 0x00fe23b85cc4d323ULL,
|
|
0x00e7384d16e4db0eULL, 0x004a423970678942ULL,
|
|
0x00ec0b763345d4baULL, 0x00c477b9f99ed721ULL,
|
|
0x00c29dad3777b230ULL, 0x001c517b466f7df6ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x006366c380f7b574ULL, 0x001c7d1f09ff0438ULL,
|
|
0x003e20a7301f5b22ULL, 0x00d3efb1916d28f6ULL,
|
|
0x0049f4f81060ce83ULL, 0x00c69d91ea43ced1ULL,
|
|
0x002b6f3e5cd269edULL, 0x005b0fb22ce9ec65ULL)},
|
|
{FIELD_LITERAL(0x00aa2261022d883fULL, 0x00ebcca4548010acULL,
|
|
0x002528512e28a437ULL, 0x0070ca7676b66082ULL,
|
|
0x0084bda170f7c6d3ULL, 0x00581b4747c9b8bbULL,
|
|
0x005c96a01061c7e2ULL, 0x00fb7c4a362b5273ULL)},
|
|
{FIELD_LITERAL(0x00c30020eb512d02ULL, 0x0060f288283a4d26ULL,
|
|
0x00b7ed13becde260ULL, 0x0075ebb74220f6e9ULL,
|
|
0x00701079fcfe8a1fULL, 0x001c28fcdff58938ULL,
|
|
0x002e4544b8f4df6bULL, 0x0060c5bc4f1a7d73ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00ae307cf069f701ULL, 0x005859f222dd618bULL,
|
|
0x00212d6c46ec0b0dULL, 0x00a0fe4642afb62dULL,
|
|
0x00420d8e4a0a8903ULL, 0x00a80ff639bdf7b0ULL,
|
|
0x0019bee1490b5d8eULL, 0x007439e4b9c27a86ULL)},
|
|
{FIELD_LITERAL(0x00a94700032a093fULL, 0x0076e96c225216e7ULL,
|
|
0x00a63a4316e45f91ULL, 0x007d8bbb4645d3b2ULL,
|
|
0x00340a6ff22793ebULL, 0x006f935d4572aeb7ULL,
|
|
0x00b1fb69f00afa28ULL, 0x009e8f3423161ed3ULL)},
|
|
{FIELD_LITERAL(0x009ef49c6b5ced17ULL, 0x00a555e6269e9f0aULL,
|
|
0x007e6f1d79ec73b5ULL, 0x009ac78695a32ac4ULL,
|
|
0x0001d77fbbcd5682ULL, 0x008cea1fee0aaeedULL,
|
|
0x00f42bea82a53462ULL, 0x002e46ab96cafcc9ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x0051cfcc5885377aULL, 0x00dce566cb1803caULL,
|
|
0x00430c7643f2c7d4ULL, 0x00dce1a1337bdcc0ULL,
|
|
0x0010d5bd7283c128ULL, 0x003b1b547f9b46feULL,
|
|
0x000f245e37e770abULL, 0x007b72511f022b37ULL)},
|
|
{FIELD_LITERAL(0x0060db815bc4786cULL, 0x006fab25beedc434ULL,
|
|
0x00c610d06084797cULL, 0x000c48f08537bec0ULL,
|
|
0x0031aba51c5b93daULL, 0x007968fa6e01f347ULL,
|
|
0x0030070da52840c6ULL, 0x00c043c225a4837fULL)},
|
|
{FIELD_LITERAL(0x001bcfd00649ee93ULL, 0x006dceb47e2a0fd5ULL,
|
|
0x00f2cebda0cf8fd0ULL, 0x00b6b9d9d1fbdec3ULL,
|
|
0x00815262e6490611ULL, 0x00ef7f5ce3176760ULL,
|
|
0x00e49cd0c998d58bULL, 0x005fc6cc269ba57cULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x008940211aa0d633ULL, 0x00addae28136571dULL,
|
|
0x00d68fdbba20d673ULL, 0x003bc6129bc9e21aULL,
|
|
0x000346cf184ebe9aULL, 0x0068774d741ebc7fULL,
|
|
0x0019d5e9e6966557ULL, 0x0003cbd7f981b651ULL)},
|
|
{FIELD_LITERAL(0x004a2902926f8d3fULL, 0x00ad79b42637ab75ULL,
|
|
0x0088f60b90f2d4e8ULL, 0x0030f54ef0e398c4ULL,
|
|
0x00021dc9bf99681eULL, 0x007ebf66fde74ee3ULL,
|
|
0x004ade654386e9a4ULL, 0x00e7485066be4c27ULL)},
|
|
{FIELD_LITERAL(0x00445f1263983be0ULL, 0x004cf371dda45e6aULL,
|
|
0x00744a89d5a310e7ULL, 0x001f20ce4f904833ULL,
|
|
0x00e746edebe66e29ULL, 0x000912ab1f6c153dULL,
|
|
0x00f61d77d9b2444cULL, 0x0001499cd6647610ULL)},
|
|
}}
|
|
}
|
|
};
|
|
const struct curve448_precomputed_s *curve448_precomputed_base
|
|
= &curve448_precomputed_base_table;
|
|
|
|
static const niels_t curve448_wnaf_base_table[32] = {
|
|
{{
|
|
{FIELD_LITERAL(0x00303cda6feea532ULL, 0x00860f1d5a3850e4ULL,
|
|
0x00226b9fa4728ccdULL, 0x00e822938a0a0c0cULL,
|
|
0x00263a61c9ea9216ULL, 0x001204029321b828ULL,
|
|
0x006a468360983c65ULL, 0x0002846f0a782143ULL)},
|
|
{FIELD_LITERAL(0x00303cda6feea532ULL, 0x00860f1d5a3850e4ULL,
|
|
0x00226b9fa4728ccdULL, 0x006822938a0a0c0cULL,
|
|
0x00263a61c9ea9215ULL, 0x001204029321b828ULL,
|
|
0x006a468360983c65ULL, 0x0082846f0a782143ULL)},
|
|
{FIELD_LITERAL(0x00ef8e22b275198dULL, 0x00b0eb141a0b0e8bULL,
|
|
0x001f6789da3cb38cULL, 0x006d2ff8ed39073eULL,
|
|
0x00610bdb69a167f3ULL, 0x00571f306c9689b4ULL,
|
|
0x00f557e6f84b2df8ULL, 0x002affd38b2c86dbULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00cea0fc8d2e88b5ULL, 0x00821612d69f1862ULL,
|
|
0x0074c283b3e67522ULL, 0x005a195ba05a876dULL,
|
|
0x000cddfe557feea4ULL, 0x008046c795bcc5e5ULL,
|
|
0x00540969f4d6e119ULL, 0x00d27f96d6b143d5ULL)},
|
|
{FIELD_LITERAL(0x000c3b1019d474e8ULL, 0x00e19533e4952284ULL,
|
|
0x00cc9810ba7c920aULL, 0x00f103d2785945acULL,
|
|
0x00bfa5696cc69b34ULL, 0x00a8d3d51e9ca839ULL,
|
|
0x005623cb459586b9ULL, 0x00eae7ce1cd52e9eULL)},
|
|
{FIELD_LITERAL(0x0005a178751dd7d8ULL, 0x002cc3844c69c42fULL,
|
|
0x00acbfe5efe10539ULL, 0x009c20f43431a65aULL,
|
|
0x008435d96374a7b3ULL, 0x009ee57566877bd3ULL,
|
|
0x0044691725ed4757ULL, 0x001e87bb2fe2c6b2ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x000cedc4debf7a04ULL, 0x002ffa45000470acULL,
|
|
0x002e9f9678201915ULL, 0x0017da1208c4fe72ULL,
|
|
0x007d558cc7d656cbULL, 0x0037a827287cf289ULL,
|
|
0x00142472d3441819ULL, 0x009c21f166cf8dd1ULL)},
|
|
{FIELD_LITERAL(0x003ef83af164b2f2ULL, 0x000949a5a0525d0dULL,
|
|
0x00f4498186cac051ULL, 0x00e77ac09ef126d2ULL,
|
|
0x0073ae0b2c9296e9ULL, 0x001c163f6922e3edULL,
|
|
0x0062946159321beaULL, 0x00cfb79b22990b39ULL)},
|
|
{FIELD_LITERAL(0x00b001431ca9e654ULL, 0x002d7e5eabcc9a3aULL,
|
|
0x0052e8114c2f6747ULL, 0x0079ac4f94487f92ULL,
|
|
0x00bffd919b5d749cULL, 0x00261f92ad15e620ULL,
|
|
0x00718397b7a97895ULL, 0x00c1443e6ebbc0c4ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00eacd90c1e0a049ULL, 0x008977935b149fbeULL,
|
|
0x0004cb9ba11c93dcULL, 0x009fbd5b3470844dULL,
|
|
0x004bc18c9bfc22cfULL, 0x0057679a991839f3ULL,
|
|
0x00ef15b76fb4092eULL, 0x0074a5173a225041ULL)},
|
|
{FIELD_LITERAL(0x003f5f9d7ec4777bULL, 0x00ab2e733c919c94ULL,
|
|
0x001bb6c035245ae5ULL, 0x00a325a49a883630ULL,
|
|
0x0033e9a9ea3cea2fULL, 0x00e442a1eaa0e844ULL,
|
|
0x00b2116d5b0e71b8ULL, 0x00c16abed6d64047ULL)},
|
|
{FIELD_LITERAL(0x00c560b5ed051165ULL, 0x001945adc5d65094ULL,
|
|
0x00e221865710f910ULL, 0x00cc12bc9e9b8cebULL,
|
|
0x004faa9518914e35ULL, 0x0017476d89d42f6dULL,
|
|
0x00b8f637c8fa1c8bULL, 0x0088c7d2790864b8ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00ef7eafc1c69be6ULL, 0x0085d3855778fbeaULL,
|
|
0x002c8d5b450cb6f5ULL, 0x004e77de5e1e7fecULL,
|
|
0x0047c057893abdedULL, 0x001b430b85d51e16ULL,
|
|
0x00965c7b45640c3cULL, 0x00487b2bb1162b97ULL)},
|
|
{FIELD_LITERAL(0x0099c73a311beec2ULL, 0x00a3eff38d8912adULL,
|
|
0x002efa9d1d7e8972ULL, 0x00f717ae1e14d126ULL,
|
|
0x002833f795850c8bULL, 0x0066c12ad71486bdULL,
|
|
0x00ae9889da4820ebULL, 0x00d6044309555c08ULL)},
|
|
{FIELD_LITERAL(0x004b1c5283d15e41ULL, 0x00669d8ea308ff75ULL,
|
|
0x0004390233f762a1ULL, 0x00e1d67b83cb6cecULL,
|
|
0x003eebaa964c78b1ULL, 0x006b0aff965eb664ULL,
|
|
0x00b313d4470bdc37ULL, 0x008814ffcb3cb9d8ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x009724b8ce68db70ULL, 0x007678b5ed006f3dULL,
|
|
0x00bdf4b89c0abd73ULL, 0x00299748e04c7c6dULL,
|
|
0x00ddd86492c3c977ULL, 0x00c5a7febfa30a99ULL,
|
|
0x00ed84715b4b02bbULL, 0x00319568adf70486ULL)},
|
|
{FIELD_LITERAL(0x0070ff2d864de5bbULL, 0x005a37eeb637ee95ULL,
|
|
0x0033741c258de160ULL, 0x00e6ca5cb1988f46ULL,
|
|
0x001ceabd92a24661ULL, 0x0030957bd500fe40ULL,
|
|
0x001c3362afe912c5ULL, 0x005187889f678bd2ULL)},
|
|
{FIELD_LITERAL(0x0086835fc62bbdc7ULL, 0x009c3516ca4910a1ULL,
|
|
0x00956c71f8d00783ULL, 0x0095c78fcf63235fULL,
|
|
0x00fc7ff6ba05c222ULL, 0x00cdd8b3f8d74a52ULL,
|
|
0x00ac5ae16de8256eULL, 0x00e9d4be8ed48624ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00c0ce11405df2d8ULL, 0x004e3f37b293d7b6ULL,
|
|
0x002410172e1ac6dbULL, 0x00b8dbff4bf8143dULL,
|
|
0x003a7b409d56eb66ULL, 0x003e0f6a0dfef9afULL,
|
|
0x0081c4e4d3645be1ULL, 0x00ce76076b127623ULL)},
|
|
{FIELD_LITERAL(0x00f6ee0f98974239ULL, 0x0042d89af07d3a4fULL,
|
|
0x00846b7fe84346b5ULL, 0x006a21fc6a8d39a1ULL,
|
|
0x00ac8bc2541ff2d9ULL, 0x006d4e2a77732732ULL,
|
|
0x009a39b694cc3f2fULL, 0x0085c0aa2a404c8fULL)},
|
|
{FIELD_LITERAL(0x00b261101a218548ULL, 0x00c1cae96424277bULL,
|
|
0x00869da0a77dd268ULL, 0x00bc0b09f8ec83eaULL,
|
|
0x00d61027f8e82ba9ULL, 0x00aa4c85999dce67ULL,
|
|
0x00eac3132b9f3fe1ULL, 0x00fb9b0cf1c695d2ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x0043079295512f0dULL, 0x0046a009861758e0ULL,
|
|
0x003ee2842a807378ULL, 0x0034cc9d1298e4faULL,
|
|
0x009744eb4d31b3eeULL, 0x00afacec96650cd0ULL,
|
|
0x00ac891b313761aeULL, 0x00e864d6d26e708aULL)},
|
|
{FIELD_LITERAL(0x00a84d7c8a23b491ULL, 0x0088e19aa868b27fULL,
|
|
0x0005986d43e78ce9ULL, 0x00f28012f0606d28ULL,
|
|
0x0017ded7e10249b3ULL, 0x005ed4084b23af9bULL,
|
|
0x00b9b0a940564472ULL, 0x00ad9056cceeb1f4ULL)},
|
|
{FIELD_LITERAL(0x00db91b357fe755eULL, 0x00a1aa544b15359cULL,
|
|
0x00af4931a0195574ULL, 0x007686124fe11aefULL,
|
|
0x00d1ead3c7b9ef7eULL, 0x00aaf5fc580f8c15ULL,
|
|
0x00e727be147ee1ecULL, 0x003c61c1e1577b86ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x009d3fca983220cfULL, 0x00cd11acbc853dc4ULL,
|
|
0x0017590409d27f1dULL, 0x00d2176698082802ULL,
|
|
0x00fa01251b2838c8ULL, 0x00dd297a0d9b51c6ULL,
|
|
0x00d76c92c045820aULL, 0x00534bc7c46c9033ULL)},
|
|
{FIELD_LITERAL(0x0080ed9bc9b07338ULL, 0x00fceac7745d2652ULL,
|
|
0x008a9d55f5f2cc69ULL, 0x0096ce72df301ac5ULL,
|
|
0x00f53232e7974d87ULL, 0x0071728c7ae73947ULL,
|
|
0x0090507602570778ULL, 0x00cb81cfd883b1b2ULL)},
|
|
{FIELD_LITERAL(0x005011aadea373daULL, 0x003a8578ec896034ULL,
|
|
0x00f20a6535fa6d71ULL, 0x005152d31e5a87cfULL,
|
|
0x002bac1c8e68ca31ULL, 0x00b0e323db4c1381ULL,
|
|
0x00f1d596b7d5ae25ULL, 0x00eae458097cb4e0ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00920ac80f9b0d21ULL, 0x00f80f7f73401246ULL,
|
|
0x0086d37849b557d6ULL, 0x0002bd4b317b752eULL,
|
|
0x00b26463993a42bbULL, 0x002070422a73b129ULL,
|
|
0x00341acaa0380cb3ULL, 0x00541914dd66a1b2ULL)},
|
|
{FIELD_LITERAL(0x00c1513cd66abe8cULL, 0x000139e01118944dULL,
|
|
0x0064abbcb8080bbbULL, 0x00b3b08202473142ULL,
|
|
0x00c629ef25da2403ULL, 0x00f0aec3310d9b7fULL,
|
|
0x0050b2227472d8cdULL, 0x00f6c8a922d41fb4ULL)},
|
|
{FIELD_LITERAL(0x001075ccf26b7b1fULL, 0x00bb6bb213170433ULL,
|
|
0x00e9491ad262da79ULL, 0x009ef4f48d2d384cULL,
|
|
0x008992770766f09dULL, 0x001584396b6b1101ULL,
|
|
0x00af3f8676c9feefULL, 0x0024603c40269118ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x009dd7b31319527cULL, 0x001e7ac948d873a9ULL,
|
|
0x00fa54b46ef9673aULL, 0x0066efb8d5b02fe6ULL,
|
|
0x00754b1d3928aeaeULL, 0x0004262ac72a6f6bULL,
|
|
0x0079b7d49a6eb026ULL, 0x003126a753540102ULL)},
|
|
{FIELD_LITERAL(0x009666e24f693947ULL, 0x00f714311269d45fULL,
|
|
0x0010ffac1d0c851cULL, 0x0066e80c37363497ULL,
|
|
0x00f1f4ad010c60b0ULL, 0x0015c87408470ff7ULL,
|
|
0x00651d5e9c7766a4ULL, 0x008138819d7116deULL)},
|
|
{FIELD_LITERAL(0x003934b11c57253bULL, 0x00ef308edf21f46eULL,
|
|
0x00e54e99c7a16198ULL, 0x0080d57135764e63ULL,
|
|
0x00751c27b946bc24ULL, 0x00dd389ce4e9e129ULL,
|
|
0x00a1a2bfd1cd84dcULL, 0x002fae73e5149b32ULL)},
|
|
}}, {{
|
|
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|
|
0x00f99a3d9a715064ULL, 0x000d60bcf9d4dfccULL,
|
|
0x005e65a73a437a06ULL, 0x0019d536a8db56c8ULL)},
|
|
{FIELD_LITERAL(0x00192d7dd558d135ULL, 0x0027cd6a8323ffa7ULL,
|
|
0x00239f1a412dc1e7ULL, 0x0046b4b3be74fc5cULL,
|
|
0x0020c47a2bef5bceULL, 0x00aa17e48f43862bULL,
|
|
0x00f7e26c96342e5fULL, 0x0008011c530f39a9ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x00aad4ac569bf0f1ULL, 0x00a67adc90b27740ULL,
|
|
0x0048551369a5751aULL, 0x0031252584a3306aULL,
|
|
0x0084e15df770e6fcULL, 0x00d7bba1c74b5805ULL,
|
|
0x00a80ef223af1012ULL, 0x0089c85ceb843a34ULL)},
|
|
{FIELD_LITERAL(0x00c4545be4a54004ULL, 0x0099e11f60357e6cULL,
|
|
0x001f3936d19515a6ULL, 0x007793df84341a6eULL,
|
|
0x0051061886717ffaULL, 0x00e9b0a660b28f85ULL,
|
|
0x0044ea685892de0dULL, 0x000257d2a1fda9d9ULL)},
|
|
{FIELD_LITERAL(0x007e8b01b24ac8a8ULL, 0x006cf3b0b5ca1337ULL,
|
|
0x00f1607d3e36a570ULL, 0x0039b7fab82991a1ULL,
|
|
0x00231777065840c5ULL, 0x00998e5afdd346f9ULL,
|
|
0x00b7dc3e64acc85fULL, 0x00baacc748013ad6ULL)},
|
|
}}, {{
|
|
{FIELD_LITERAL(0x008ea6a4177580bfULL, 0x005fa1953e3f0378ULL,
|
|
0x005fe409ac74d614ULL, 0x00452327f477e047ULL,
|
|
0x00a4018507fb6073ULL, 0x007b6e71951caac8ULL,
|
|
0x0012b42ab8a6ce91ULL, 0x0080eca677294ab7ULL)},
|
|
{FIELD_LITERAL(0x00a53edc023ba69bULL, 0x00c6afa83ddde2e8ULL,
|
|
0x00c3f638b307b14eULL, 0x004a357a64414062ULL,
|
|
0x00e4d94d8b582dc9ULL, 0x001739caf71695b7ULL,
|
|
0x0012431b2ae28de1ULL, 0x003b6bc98682907cULL)},
|
|
{FIELD_LITERAL(0x008a9a93be1f99d6ULL, 0x0079fa627cc699c8ULL,
|
|
0x00b0cfb134ba84c8ULL, 0x001c4b778249419aULL,
|
|
0x00df4ab3d9c44f40ULL, 0x009f596e6c1a9e3cULL,
|
|
0x001979c0df237316ULL, 0x00501e953a919b87ULL)},
|
|
}}
|
|
};
|
|
const niels_t *curve448_wnaf_base = curve448_wnaf_base_table;
|