/*********************************************************************************** * FourQlib: a high-performance crypto library based on the elliptic curve FourQ * * Copyright (c) Microsoft Corporation. All rights reserved. * * Abstract: precomputation tables ************************************************************************************/ #ifndef __TABLES_H__ #define __TABLES_H__ #include // The table below was generated using window width W = 5 and table parameter V = 5 (see // http://eprint.iacr.org/2013/158). Number of point entries = 5 * 2^4 = 80 points, where each point // (x,y) is represented using coordinates (x+y,y-x,2*d*t). Table size = 80 * 3 * 256 = 7.5KB static const uint64_t FIXED_BASE_TABLE[960] = { 0xe18a34f3a703e631, 0x287460bf1d502b5f, 0xe02e62f7e4f90353, 0x0c3ba0378b86acde, 0x90bf0f98b0937edc, 0x740b7c7824f0c555, 0xb321239123a01366, 0x4ffcf5b93a9557a5, 0x297afccbabda42bb, 0x5948d137556c97c6, 0xa8189a393330684c, 0x0caf2b720a341f27, 0x3a8ba018fd188787, 0x5546128188dd12a8, 0xb0b3cc33c09f9b77, 0x1baeeaf8b84d2049, 0x006425a611faf900, 0x18f7cd12e1a6f789, 0x6dccf09a12556066, 0x448e05eeace7b6eb, 0xbf2f33689d2829b0, 0x6d911dcb2957bdb4, 0x9f2353dbdc3c03ee, 0x06c54305babee501, 0x2eaf45713dafa125, 0x72963058648a364d, 0x61b7771f9d313ef2, 0x4f41c7f8bfe2b069, 0x408623ae599790ac, 0x4d33858644330a42, 0xfc5696649cdd7487, 0x74df72e0e598e114, 0xc9a06325913c110b, 0x076bd4115fe4b0d8, 0x76619e65d6bff3d9, 0x249240147cee3a08, 0xd695b96148965a73, 0x28aac8a28829f706, 0x41f1c05329f7a57b, 0x441ca9e89f03e00e, 0xe1aa38ab8bf7241e, 0x58f28cafc832b7f4, 0xcadaf8b8fa5400c6, 0x34b6d106284e863e, 0xf5498cab3af15097, 0x6dbe7790017d9c49, 0x63bf76a81448e8bc, 0x6371925bf23ae006, 0xc5e2c721bded81fa, 0x4ede70eed68056ab, 0x8f3cd9b5b4975810, 0x4752fd192f0a9aa8, 0x318794eb1f734414, 0x11ddf7d2c8468662, 0x2613b06f72b1a34e, 0x465575b37ab06770, 0x40b9845f82638d2b, 0x48894050790298ce, 0xbedb93a501b4f131, 0x04f3560d2889b2fb, 0x457dd875115b278b, 0x56f25ee54d92858a, 0x92d4c1cdce0c977e, 0x078fca4187d74996, 0x3bbb2ded76cc22a1, 0x117b28853ddc2bf6, 0x43f3767cb9c2baa2, 0x73079e25e0ea8a8f, 0x0177992b5a15796d, 0x2e77721480d9ef92, 0xbe09883567372916, 0x258f176b7af7576d, 0x308338fd6168391b, 0x7285925f9a7353a4, 0x862c0fd04fe85114, 0x53259ee7423aeb51, 0xfe0031a84b3b1a68, 0x1a4f1d661fa071fc, 0x2ddd54168dc928a7, 0x60185c1adf196a6a, 0x49809717dc6da9b4, 0x6062094b4dcffc03, 0xa41ea6fa05fa7e8d, 0x4a4fe06f277148a0, 0x7bb253a9ee9e80f0, 0x419a928bccb11733, 0x84323be66a9a039e, 0x01b2d1ae972814bb, 0xa7588584d3051231, 0x54df1e20cc979dd7, 0x91d906fe3e2f22dd, 0x4e36e9975fdf1a0f, 0xd81871746b747634, 0x3e5e31baeee13433, 0xe4da80979573baa3, 0x4b852ad97cfe77c6, 0xe08b346714418b9e, 0x283d719b2fe6ef88, 0xb7339d2de45c180b, 0x75acfcef11d2d5c8, 0x8f40777a8c561876, 0x0c54ac40a7134c4b, 0xb92e287d66baee08, 0x6f357e5006a188bf, 0xc5903319ed1e6971, 0x747c45ef91dafd40, 0xde4086a91d2f816e, 0x5dcb27edb3b3ef7d, 0x43fdc46cfa1dd2ee, 0x51551f9f70966498, 0xb54534f761ed9bdc, 0x453455b3073fb07f, 0xf24773e383cab70b, 0x679be25e758cf4df, 0xda17edf2943eee29, 0x3dc9e5b8d6dc0f66, 0x56a50cba413fb75b, 0x1e65315bc5a8537f, 0x5ff90242802c7213, 0x73c9d8c8f425252e, 0x3c637b8633198c8f, 0x534f84b3ed414f33, 0xad313e72dedd6902, 0x5ed57e941cdf33af, 0x5a6fe01d2a57306e, 0x73b63dea344713f9, 0x39cb70570f1c2bf3, 0x2df8c6e49f1a18db, 0x661bc349677797e4, 0x501ae7cbbebe9062, 0x5b52a88de8959643, 0x0372752811c01d51, 0x010c57a2301bb928, 0x378b317155554fc6, 0xf883fa4229a02cf1, 0x5f0047b850d7db29, 0x4d247ae328402daa, 0x0d030627a850a2bc, 0xb4e65d9a88a443f5, 0x6ec9686b2d6db089, 0xde202e08fea1d987, 0x5c64e1d3f28d7600, 0x157d17bef661bfb7, 0x56392d36dd75334c, 0xe25478d8bd19155c, 0x146d4f2d3d336afd, 0x9bfbe00bf94e15e8, 0x2b185a9a6adf10c0, 0x926527b3ed52ab7b, 0x67997e1473101e80, 0xb58f4ff4947cc541, 0x36f800c7fac99a7a, 0xd0302e32400456d9, 0x4372e43640bc697b, 0x9144cabb4750d898, 0x75d25afac9a23cbf, 0x794591767655cbfe, 0x74db216617fc4b07, 0x7057b2242566d0c9, 0x1d543b5908417b23, 0x19c280b444428783, 0x352309fd8b6cc3ef, 0x37833d6ac068ae72, 0x4ec0671a23c019f4, 0x9d9836e1a3d05bb5, 0x44fe1adff224efe3, 0xa296bc3ce57efb4a, 0x2efec86835a14150, 0x2fe19c09fb194bca, 0x18cc07d3953cd206, 0x5bdff217c9c0b9e0, 0x671aa756581abcee, 0xe1cc33ae28f7d1a2, 0x1b6f254937a0a3fe, 0x51503d1665babb83, 0x74b95636d5889211, 0xbdb97ae4ea96f869, 0x1507ce189e2510bd, 0x796e4d54fab93b13, 0x6a81765f05960929, 0x2e940521e5a833ed, 0x3bdea532b245f644, 0xbea76975ffd52693, 0x64b94848ba6d4ed6, 0x9db52d0194e33ec7, 0x71cf65da55639f25, 0xede73b1fdb5a8138, 0x12e4d13b6c62dc22, 0x9d19b0c265185517, 0x77a011d257b5fdd0, 0x1fedc5caaecd84e4, 0x46844e151e3492d1, 0x7a423a31904220df, 0x5b3165c747e8f099, 0x1c665eeadf35e22e, 0x7802b556fc45595b, 0x85a2def4015bd2de, 0x17f2ab87957166ad, 0x19cf6d352060c1e5, 0x122a7ad1be408e6a, 0x5b79bbc8645bf766, 0x20fb009d4d0adacf, 0x97526a272ba28538, 0x7041b4e90d420bde, 0x3b30113358dab057, 0x3d398b66f0d24243, 0x91a5999a03cd4708, 0x1eae2409cd938096, 0x66dd6b604c36108c, 0x1713083789081968, 0x57cad6917125dcfd, 0x34b06cb89704f1ca, 0xdcafe8e71f35abf2, 0x698331198d544db9, 0x6287676643af075b, 0x200950e5559d2b6d, 0xd4f63fc3ecdd9074, 0x7473317142ac13a2, 0x96b0030805319356, 0x2c20ffe0244378ba, 0x4889511ad26ac01a, 0x4ee327219997fcf6, 0x15ffe6e70f0bf8ea, 0x6b617fb4a6d0a6d7, 0x4916dca1c52f7324, 0x3c8269f086468277, 0xc24210c4c837e04b, 0x4e480b4f915a542c, 0xc5fef3b09a7fe35e, 0x31a501de44fd84b2, 0x79f29e4940a407b9, 0x0ba7e03ca5cce5ab, 0xa7a8b2058a74d8ea, 0x46f4c7810e26dadc, 0x46171ace94a1128a, 0x44db55025495a811, 0x7f889e1a4bf18d5c, 0x4d4f172a43f306b2, 0x33a99766bb1cffad, 0x6254775924d39aca, 0xd855230ec225136e, 0x1c544dd078d9211d, 0x12fe9969f63f63ba, 0x069af1dc949dd382, 0x305bcf40cfe5c256, 0x63ae90924bbbb595, 0xe451097793b7de06, 0x09780cf39fc0043e, 0x827af8e7eb798871, 0x3ace8a6c77577a37, 0x79df061332e055ba, 0x561dc07aaacea92b, 0x7e4422d9820d2673, 0x6b85df83e0af5348, 0x1f151ac1ded8526b, 0x35ead8e5157142bd, 0x6da6ef6c33c79dd4, 0x5f2ea04d2594fde4, 0x91037d0cc027d5fa, 0x53b5401007b0331b, 0x810f198a3d4ba5a3, 0x4463bd259ba94195, 0x32b894acec2acf9e, 0x78711761d64349ce, 0x253ae1b3f51fe211, 0x409e4b3f535b6463, 0x3a236d10da5e49de, 0x19d2b1029c21336a, 0x2835f40436aadd90, 0x0942a31505190b19, 0xc189131876828279, 0x3afe96c3ca8e1f9c, 0x9f1801b491230693, 0x39e28db8625fd091, 0x9fab50355dd44c8e, 0x145155da729b280d, 0xd3ccf8101d4d76d5, 0x5a0faa1a8c2b6c68, 0x3cc66c84cb54ea8a, 0x51052ce3f566c773, 0x3bee14de65ae9ff5, 0x7586118a01ccf024, 0x089e791c896bf15e, 0x35ff022d261d93d6, 0xcd3ce13d8f7d1cf9, 0x4f1de98f95b7b8f6, 0x51e68a2462dc41b4, 0x61ad9e3c23f6dd29, 0x584fea6480ebdb51, 0x5d52fe073f9decf3, 0x9afe483eadf336d5, 0x1dfa03c980b1696a, 0x55f73d47ff819a19, 0x697bf55d361100ed, 0xded4804446399419, 0x618c94467fce259f, 0xf2597ff1f08ef50c, 0x07c935b98dd933c0, 0xbb758cbc78ded5f6, 0x1e9a0d06af13148f, 0x879ce1457f4cd4db, 0x28396ca1962d4994, 0xf5095a3dc57605c3, 0x1e570f3da4c527b1, 0x2af69a3904935787, 0x591ee376fdd01cce, 0xf77b58df88bc8633, 0x5464d651b2f395d1, 0xafbc096b1e9a86ae, 0x6ce2df4bf65b6b28, 0x3b3a828d2e9d3e08, 0x6382011d8d2d66d0, 0x94987ca64d3d193d, 0x50ddf70d3b6d56af, 0x8d5df67cc8ad15a9, 0x39208098bc5b1f92, 0xce99f520dfd5a4fb, 0x323bbc87b86a7ba9, 0xe13f88a8d803c789, 0x56ffdcbdf2200055, 0x3aff0da31b24c72d, 0x70011566460c0c16, 0x76f7b7f53ac46a13, 0x1c069bfeb7077bc2, 0x8f47193ca14a3c36, 0x6d73e34af088de3d, 0x634b2bd9317d6634, 0x5b404738b77f1ec8, 0xf34fabb71ca1cb1d, 0x054abbcaca546a46, 0xe8cdcadd08eda660, 0x6971abbf958bdef1, 0x41338557dddb4eaf, 0x1e158585b079b67c, 0xd2270474cfa26068, 0x53b36d32b3cea469, 0x011523c16c543d08, 0x4668e92c5f73314e, 0xbaef3ebe4117acd1, 0x04037d1aa713931a, 0x68e118e4e390c68d, 0x6b80cd55a44c1575, 0x7307ea8a5729c032, 0x5cc5475feee99ab2, 0x34450e424c14ac75, 0x3f09157e5db3dcd8, 0x62ce2b1b50588052, 0x27a899c54e652f8f, 0x0acd039f2fc2a5ed, 0x4b4044ddd5813eec, 0xc04d189e90a75958, 0x242551bce71d33a1, 0xd95af96b51f87f05, 0x02988820f809d815, 0xb27f65f73b9483c5, 0x2ef60745f4364b43, 0xcb66bdc93f4fb8b9, 0x2b86c9b48756bb8a, 0xf8ebdae09b9867a1, 0x441e70184e6fe9aa, 0xfdc2530330cc1289, 0x47d8d65a8b4d6992, 0x8c03b6fa30ae74be, 0x1ca8693cc3bd99d5, 0x699eb1511018f2a6, 0x3da04764d9f4fff5, 0x361720433d3aab59, 0x2fa911612cb857ff, 0xa4057da10c2f1cac, 0x48a219b933a5c619, 0x42341020d15f0bc5, 0x73f8895046a09dad, 0x1bad5312c67421b8, 0x4194771b368e622e, 0x8cc71a79e44e0dff, 0x4b4564e45467f1c2, 0x7759f16aafe52093, 0x391b71dcd75fbea9, 0x2a1c0694ab4ef798, 0x023087545444130d, 0x4b7ae1ffcfaa1aa1, 0x64e26f32d73361e7, 0x8da47038bd0b54b9, 0x148cfa6feaecee15, 0x3756d4d479c2cc3d, 0x25d44ea8d31543de, 0xd82c8bef26bb2c43, 0x2c2047033d27f37f, 0x5bd33d9837dad260, 0x77943117a3383b7d, 0x12071d697ea583f2, 0x3c7c41272a225bf2, 0x92ebbdfaf1f03ad3, 0x5d61030c68b63704, 0xca6e2853baee75d1, 0x12404b34771a3636, 0xbe13c46326667e4f, 0x2bd261916f9be3b0, 0x86e3f8cbadc80f89, 0x74520d8a1794cb48, 0x1e15c745024cf97e, 0x5cee741e1e53eb02, 0x8d088de0af99cda1, 0x625812961cc0862c, 0x4313437321c0e934, 0x60bbc768c424f7a4, 0xaba71fbf3c10e143, 0x37b8ea9f14a915b8, 0x8d96ec65c40213ff, 0x74a08828ff77845c, 0xbedb7194daf607a3, 0x17e86671161c8706, 0xaceb98e0524059cf, 0x68552ac494916f09, 0x4cd2971baf1b3c47, 0x68442ebcdde21b70, 0x19629b8c0e867595, 0x6a6955d3635fa47a, 0x6fab45e0f2e393ad, 0x66dd3ef4fcf050c4, 0xbb0b7abcfddc7df1, 0x14eb5b751b0bcf9c, 0x1cf79f9ca2fd411d, 0x5c496f73fff0600a, 0x49648d8555426d70, 0x46c1016a2322d8a9, 0xb57fdb870d9b6d4f, 0x609eb65209ddb633, 0xe70f9166bedc82c5, 0x772fb5b5c8afaf27, 0x79a294d9b0227a20, 0x7f75b141112dbc8d, 0x98d1c7f88e070020, 0x5953d0aac48217b1, 0xe28253ebe15f33ff, 0x267d1dc11e614c45, 0xbe64f50ab99e2246, 0x4eaaab5c82fe5495, 0x927d5ac07e60bed0, 0x67d3786de6aa1b4d, 0xa71962bf0f6e2945, 0x63d93844a35eea9b, 0xb34228c7d26640ac, 0x169c38d2eb28f5a1, 0x4b7972b33439dc22, 0x71478457cdaa1e14, 0x5226e125ec1d58c7, 0x669d8796e78fd4f1, 0x750dd1aaaa44a07f, 0x327c62b55aebbecf, 0x006b8e95b54fbd25, 0x2ab3f95d01eb364e, 0xfcbe5080c0d5e196, 0x2a1b9bd75a57e725, 0x1d2b2b6758139b5d, 0x751cf4af849b7a73, 0x164a7d2e337d00a5, 0x00cee3a4cb83a4bc, 0x3498e0366dbe28f9, 0x053d899148d28502, 0x01665d64cab0fb69, 0x4a99132208d68e74, 0xba44bbd4bd3f915d, 0x1d34b0f9172122bb, 0x5d114dc729e8a9f3, 0x08e7a43dd5334b60, 0x28db8e9232f0f3e8, 0x5cb7be1b80264f62, 0x9af2c78782508f23, 0x336ae7ccf7e3a1b2, 0x7fe2d4ee2dd194be, 0x573d2e1b2b8a6872, 0x3332ea3363b2ea36, 0x200bc1375b1f4243, 0x65c47c8c06b3260d, 0x42021fca53995c5e, 0x2f7e6cf49bb19946, 0x311fba6a23196d2c, 0xc30c13b62be0d70d, 0x61eeac142711b0dc, 0x88526996597d35d4, 0x70169bcbe6bd21d7, 0xa0f1b2d0ad29a510, 0x2ade531472c1b94d, 0x11e320dc189873e7, 0x2d2a1794e85cdb38, 0xa0a8c453a6f621e3, 0x4b06d5b54525f6f7, 0xf42916691848ec1c, 0x1d4216555d578730, 0xf8c60da7290a5b4e, 0x66dd9f39a1f3565f, 0x55ac29d937b474a0, 0x4291967a4a369ee4, 0x918dacaa12e6bc89, 0x3d46e8900651c310, 0xaf055430a00e90b1, 0x16f62bf56da5ca39, 0x1a021c33488c51e6, 0x0d64dadf63fbbcd5, 0x0918ece59dbfea7c, 0x3b3319d7dd74203a, 0x1d88545b8b9fa90c, 0x13b792dc908c59e6, 0x0a2d939a9c3d0979, 0x321a5dbeb74bf127, 0x5e5947fff66d8470, 0x22ec9ecafd26bc99, 0xde17ca8293b10536, 0x593f56c0559dd846, 0x1148373375485023, 0x23c6b0fdf7448b1c, 0x377904458a27804f, 0x573e91962726ea70, 0x35e1b24f3235ac70, 0x51ba082049f4f85e, 0x4bc4918160d47194, 0x5d29a21e3308e1dd, 0x7e15894b3e6e4e33, 0x50dbbd2f4f31d0fb, 0xef248bd235a9c9de, 0x3418add21b634710, 0x96c7233a52363bd2, 0x7c8414ad9a08c99f, 0xbc6acb4a54e6c05c, 0x5729021a1193579a, 0x0627c3e00b08fa1c, 0x3d0b4ff9e17c2a73, 0xd507e8755990317f, 0x75b27bb3bc7bfe48, 0x44a80f2c6ce651f5, 0x7b9795fc1b706e46, 0x9de75bdefdf9a640, 0x75ade50ababffaa8, 0xce0ab116870889a0, 0x6f3ddcfcdd59ec6c, 0x6e36833588de0674, 0x291d1129ea28a073, 0xf8b8e53864884d61, 0x706ef8f1ae854d76, 0x137a8c6583753069, 0x01e45f1cc620f966, 0xe28e1ff82f76c7ba, 0x36d29eace3e89c54, 0x83379f157f0b49cb, 0x65e9c39e2bacb937, 0x9b323c45070cda3e, 0x16e02f31ab7e2de5, 0x53bcf346635122b7, 0x1fd7e207d6c2de09, 0x3a5f5f94ea1e57ac, 0x0cba06e8d0f0b4df, 0x70b440c387a9c392, 0x1e7dc143dee1d800, 0x5498ba6d7239912b, 0x332870a017182d14, 0x6be306fc672d794c, 0x2c2ce211245b2b4e, 0x109b722c8d2ba79f, 0x268520fa9c5f727a, 0x515b300524fe78ee, 0x736201eccbaea698, 0x4608ac113210bf78, 0x32d8fd919c441843, 0xc9557e1b04b8f2d8, 0x775437f798dc7459, 0x1200f5585ba417f5, 0x2e00ec5f3e7ad304, 0xfc873d5f2b446288, 0x32270a93624876e4, 0xc646a47c08789b22, 0x2370d9fe925616be, 0x430afa3619e671c4, 0x156468ceac1f5fb2, 0x3b84dec2f2417635, 0x31140e9017c0e58f, 0x5c85f88ccb7443fa, 0x0da75f5d64d864ac, 0x295ff44871b0fb84, 0x1b79e10bad3336c3, 0xffdf9942dd2977b3, 0x4c1b198d0f9a1a23, 0xba778a24c112864e, 0x74f66897f26d48d0, 0x3fd5c06e867ab611, 0x4b98ce33ff7878b9, 0xf7db4dce75cb9165, 0x11665aa099ec5163, 0x2a498f16ae7118b9, 0x265ec3dbb4eb509a, 0x3da4230668ce2c86, 0x36e62baab2e33385, 0x99507d4a79ab4478, 0x25bfb2fc411e8875, 0xd7ac1ec933022ce1, 0x23d341ae033d0466, 0xd295b465e962bc00, 0x23d0211ba2d73180, 0xa03ccd7aff922d4d, 0x1e767148de301514, 0xc241ab36a894efab, 0x1c9fc2f343fc1e58, 0xca3b96562bd27a87, 0x53623e2285dd7015, 0x557411f01c219420, 0x19265577096b42f9, 0xd3312d941b23592f, 0x30a9a9a1c3c51c06, 0x3d89b0b3ea6e8f79, 0x7eab751dc5c77cb2, 0xc0a9b186e6df6e36, 0x4f844d583f155694, 0x419018232793dffa, 0x2add440b6bd3854d, 0xd55480f131df6e32, 0x318ce3846ae3e417, 0x0565062d1a0984f4, 0x6ebaec63d2bff9f6, 0x77075fe729e79790, 0x0dd9434624c8a4e7, 0xbf8f11e2dfa9b062, 0x1b17d8255ee8b364, 0x62c2150cf72c6344, 0x28106880d081e8dc, 0xf4a4af0ddfec91c1, 0x1a8f0e6c977e1f2e, 0x72a7a3a738b9316f, 0x323716728c4e22ec, 0xc14069065ba4af3b, 0x081514248911d367, 0x51bd4afaa8b6c337, 0x50e77a9b513400e7, 0x46c0051b2a822548, 0x024886e41a5edcfc, 0xa06b0efa41cac17f, 0x336a30b01b9c5675, 0x74fb2c10ca097626, 0x2b204caa48e90981, 0x6902c952b9a17b74, 0x39c2e9b6b922303b, 0xb9216b9b3c597419, 0x6d92930264f15f76, 0x7b1297d5eeae1427, 0x0f0744adfe1bd307, 0x33b57e265be6a89d, 0x282fa2e533356c10, 0x3a03995c61dc772c, 0x4f5d8f5e893dcff5, 0x4bfc927efc48023f, 0x596f2241d6a685ae, 0x3cb3e0afec29b8a2, 0x31018e0d10653842, 0x2fd00fe944575626, 0x1241d8704982e011, 0x970d56664e6781a7, 0x1b05f49d0f3de2ce, 0xa994ffdf63717e66, 0x416374a76ba88e98, 0x8b082ced53f1579a, 0x56781dfab5d2aa4b, 0x8151defd1865b318, 0x64669b840d6081f7, 0xe436f4bb5f38e14e, 0x43d438410a974b40, 0x5832ceb3d666be02, 0x06347d9e1ae1828e, 0x6979471b39e3ea86, 0x2cf2cf61cb4b5ae4, 0xb7ab29eada5a6ee4, 0x12e75cb29aca5768, 0xe65b1109d30d1ffc, 0x71f9becd6b320e5a, 0xdc8289026647eed9, 0x31d62d050ca5458f, 0xea2bbf523a54c1e5, 0x602bf0b9e3ee5491, 0x25aa73622380ad4b, 0x2b6b1e3271df5f58, 0xdbc5efd86aa0470d, 0x05353c24b8c4354b, 0xa3c7db3cf5e06bca, 0x288a1c8f2b4ea5f7, 0xd6152f5e12ce7ca1, 0x59d4c1b436673c7d, 0x1e02554e521fcb95, 0x66d3980f240ad440, 0xabf16f6b39a4d9d1, 0x7fea351ca94c2f62, 0x3d62b6f3389163ba, 0x0fc6b44f2e7895ea, 0xd5c64403cda7c669, 0x2e4099090e603193, 0x9b5c0faf15fa4c2f, 0x46295c9d8e12b639, 0x5ce4add63a5b331b, 0x5fa7bd736c4c5879, 0x47b3471447d1aef2, 0x28004c1c22325739, 0xd588437d9a3c5299, 0x2ab19c1812cd27e8, 0x3ae700f680037802, 0x1ad163800b422b36, 0x45b7ef36fabc2139, 0x44bcdeff21dcbd1d, 0x41c6da2171e11c7b, 0x2c35ee79f7c4cc14, 0x4852942759c13849, 0x6492d26f10be050a, 0xa6f54e988c50f0d9, 0x6a2db2b6dd62181b, 0xf7d9806b2a5e57a3, 0x57526bdb3ba53d20, 0x17ce6cb1f500e650, 0x05d841b042f8f345, 0xaa800a6c698de970, 0x04f4b559abe2cb8e, 0xc050dfd7259ce49d, 0x213839bdf94db935, 0xb371258655306204, 0x7d323b8b19f9705a, 0x26d4502b16b6c618, 0x79717069aa89595b, 0xf867c0e36db41872, 0x13d601d86c76e1d0, 0x2dfc8b0d331b7383, 0x185472f3e42e8075, 0x05bd13e72b10eba0, 0x519a387490f79b95, 0x8d09c1b2d3ad2500, 0x045da45d2cf0f733, 0x640181956862426c, 0x728d57f59bfe1b09, 0xf9a99f878da2c585, 0x4fc4831e61dc4e10, 0x6dc602cc54394fe0, 0x0484566b67e9e8ae, 0xc5fcf0474a93809b, 0x71c0c23a58f3e2bb, 0xb400fabe36fe6c43, 0x614c2f3eaee4c0a7, 0x7610a980d0e1c6c1, 0x1ce8197c88885dcc, 0xeade1c9f3ac2cb2b, 0x471ad07baf2f341e, 0xd67a837c6b01121b, 0x2a8e64281f59cb59, 0x52e701e42f3262ca, 0x19e0a27dece50580, 0xb5691c17a7bda6ac, 0x43484c311b9df1f2, 0xa68155549bae49ea, 0x43a2c5dda225fae5, 0xfa5e992aed700eef, 0x58911f5623918856, 0x648b81a1e48c4da9, 0x66e6e30cbdd0c3bd, 0xf3ba209c169d266b, 0x20f7a86230447685, 0xd1bb5aaa1a0c3d2e, 0x366c29843d1111f1, 0x06c78b642dcc9013, 0x27484a64e109e3fb, 0x8f8eacbca4677464, 0x0b6cb31b1dc24cc1, 0xdf69c84f898f0fa0, 0x2dd426744920f2a2, 0xc0912a197d4c5c69, 0x489ade7f6a98d8d6, 0x458769f47f203e28, 0x124f4123fc05ac97, 0x3bb936f4ad6d7d67, 0x330954fed4f00ff8, 0xc2ce650046f90eaf, 0x7bf94762d4f9debd, 0x2e93172a586dfb83, 0x3c7a6062b4113d96, 0x5ddb0397147f0d93, 0x08e3596fc6839034, 0x374e67ff67639bfa, 0x19021c2119888232, 0x002f5d04fdd55efa, 0x05b4c6e079e1baa3, 0xe5678ea3ad74c84c, 0x1c42f7826a58a77d, 0xe054668bd2cafacd, 0x237668d3ede4261c, 0xedf46a6374aebb32, 0x31ec8c5931cf0ef4, 0x955c2e95c35b5825, 0x27d8b0ea68259603, 0xb7a8976e427d1ec0, 0x6b6cc5c07152bd13, 0x03d88f0ca0b244cd, 0x001cae9a8cfed897, 0xa844b3a1f693a7fd, 0x676c9acb7abdec96, 0x631b6bd5e0cdbd33, 0x29f289dc0cddd9b8, 0x0947d57536fb2eff, 0x1eb2ce650e3eb059, 0x2139b3a40e8bf405, 0x4165edfb39f4ae8d, 0xe061eda67a70d6a6, 0x2e3cc0328c9084f6, 0x1ef8329ed056063f, 0x6d4d01ce49e8b3d5, 0x0110c92f1656d34b, 0x6dad1c4e170829e0, 0x584c56c590b477be, 0x597e5f0ad525e935, 0x6008264d8eb7d36d, 0x3f586754999c829e, 0x3d7ea89df5546a1d, 0x41754f7d9a3f4364, 0x3b0796822ef879a7, 0x1ab2779598262872, 0xdc37c9f0bbef7923, 0x256ec818ec35a097, 0x4a72da5c09dd5846, 0x51df6c61edcad45c, 0xaef24fcdcf5ce819, 0x0ba6bb959ae689f1, 0xe667bd65a57b3a9e, 0x71ffd591a28a8e4a, 0x06c325fa53a7fadf, 0x6667f2986b2dcf13, 0x3ef751a6d52a09e4, 0x517a104240b8c74a, 0xd08cddfd8c8183f5, 0x59237cc71b8147f1, 0xfff94fd188395933, 0x538acc592d10ef67, 0xac51ce386ff0eb1d, 0x69d42b8114c5fe65, 0xa17eda3995bfe8b9, 0x5dc6d98fdf05a341, 0xf2304d375ce8be78, 0x31b58521ecc483ca, 0x04d2d8140780222a, 0x3dc18b2be3ed95c9, 0xa48e1639f2d70d2b, 0x4ffd54a6bc0f38d0, 0x8ae3c65ba6b7143b, 0x482eb41f9178fa9d, 0x240b8b4e87ad4f1d, 0x6d8532420059eb40, 0xc135f77e44275132, 0x6261076a0daae349, 0x35316bdb3842765c, 0x246165ba3a8bfd92, 0x1c2d774bd5177a75, 0x045a2f991647e3b6, 0xed3b5923594671a8, 0x0514fada5acd4db5, 0xe8297fc358a0f50f, 0x7cd2badcf2952a91, 0x0da45130ea9ac266, 0x26a0d43c1e14c979, 0xbb62b729fe93a390, 0x360357aff7f67ccb, 0x3ad4835d1c7c59e8, 0x570daffd86fa470b, 0xd7c4be698fa3bd96, 0x17e4bdec2ad76ffc, 0x43ce4ea9ead7dc51, 0x58ba7ae0d64a518e, 0xe014cc7e64680555, 0x03abc953ce2630b8, 0xa318620c7799be57, 0x2b258fa2e84da952, 0xdd88fdc5063b2ffd, 0x17371dd79a3aa556, 0x927b837578981299, 0x554552101d90ab2d, 0xb45306218ce54bd0, 0x59109b65ffdb6235, 0x8663e0c4a180a515, 0x41467fe41c6604f4, 0xae2c1aa4dcb73878, 0x19d3cb02c6c07517, 0xaa147c97ea6745f1, 0x70dac71a31cac43c, 0xb9213ec26af87dfa, 0x67f228e9f60e7b25, 0xbfb59b8cf78df3df, 0x36687792a4256fa3, 0xe1be5c1f23177544, 0x786a9e1b644b1c90, 0x4172f47393ca7f5b, 0x62ae5bb4b8aaeb59, 0xbcd9c431fa631b6f, 0x1fbe20b2edc9cc6d, 0x5fdd829fbc0ee085, 0x241dd315adc5dd59, 0xb4b688d625f7dbb6, 0x595a82fee5bed2d4, 0x69653ae0cc11880d, 0x2b9e85fefc402f76, 0xbb2495b507770a81, 0x05d20c575fb34731, 0x9d9e623436485ab2, 0x27012a9665f3febb, 0x586cfef484c04ff7, 0x44a5860cc0eabfbe, 0x6fbfe6e2f3532e80, 0x05abeabaaf3220fe, 0x1bed21f2cb809678, 0x2aa62112b7eafed2, 0xe298837cf610190b, 0x1ec8fbbcef9158f8, 0x1efe9b3aa4f96f6b, 0x6a3b842a068b0ef3, 0x92dd4b7cd7f827f7, 0x605175bbf3fd1c97, 0x139bb6419c1f6d98, 0x3a3ab2e9978db310, 0xc5c95941c9d5dd0b, 0x34c6c76025b2bce0, 0x0d44115a49bb8126, 0x7622cbeb11daf619, 0x785bff93164ef5ad, 0x7191647d355cb45d, 0x117f255c4cce6e5c, 0x581b448b0e9aae3e, 0x54a4f3cb36225414, 0x790180c539bc4685, 0x47064043b7c6b96f, 0x43cccf5b3a2c010b, 0x1dfbf3afc14c3731, 0x1c368f3195572574, 0x00bc2ed3b5070b5a, 0x0332d8dd63b37f60, 0x0744b1908c9bd8f0, 0x2d258e628dacb9ce, 0xbba5b4bdb9c61e14, 0x0bca12295a34e996, 0x059c84c66f2175d4, 0x1a3bed438790be78, 0xdf394f577dabb5b0, 0x304777e63b3c33e4, 0x59a29d4fe82c5a6a, 0x72e421d1e88e77a4, 0x69e6230313312959, 0x2da03aad8cf2bbb8, 0x2858d8608fecb0b6, 0x343099e7a40243a6, 0xba29b675d29a8f63, 0x3d2028a4f6f15886, 0xf068e2d286047d0a, 0x14999b5d6c770e20, 0xd1874a592385da79, 0x78aeb552c15a1cd9, 0x482dcccc23e9c06e, 0x7b18a19fb54b5745, 0x036c896efe9a7a06, 0x2f2c2ce0d1871c13, 0x3b2d9b9ed65492c7, 0x0649c7e50819d077, 0xcdab66ea7b65e3cb, 0x49b15b40c4aaf03f }; // The table below consists of four mini-tables each generated using window width W = 8. // Number of point entries = 4 * 2^6 = 256 points, where each point (x,y) is represented using // coordinates (x+y,y-x,2*d*t). Table size = 256 * 3 * 256 = 24KB static const uint64_t DOUBLE_SCALAR_TABLE[3072] = { 0xe18a34f3a703e631, 0x287460bf1d502b5f, 0xe02e62f7e4f90353, 0x0c3ba0378b86acde, 0x90bf0f98b0937edc, 0x740b7c7824f0c555, 0xb321239123a01366, 0x4ffcf5b93a9557a5, 0x297afccbabda42bb, 0x5948d137556c97c6, 0xa8189a393330684c, 0x0caf2b720a341f27, 0x892756b15bcf68c4, 0x5742f77c98a526ba, 0x340a5a1de9f89f9b, 0x14ef680aee75d0f7, 0x84e770e14043a41f, 0x0212c41116c33c95, 0x35b791e6de4dc0e2, 0x5949df08518d5d28, 0x6a0e120744ed10db, 0x5a5183ce844391d3, 0x6f618b158afdba50, 0x2ce2037e470e2088, 0x1f49fa149a64ba3c, 0x5f9876d519670451, 0x030105056f55586b, 0x020f1a557d8fd726, 0xdf4cb175b06d86c8, 0x694fbcbe7fe58390, 0x7933294a756a1b67, 0x09dbe9924b58f8ec, 0x590f4403cdf197b6, 0x1c07969fc87a0ba7, 0xc496477712252367, 0x5508976022f1b096, 0xefda361e452e1775, 0x7a0a0cccacc838fb, 0xb07e791c0be5dc5f, 0x24d9b6b418cbcb93, 0x497970f3c6117e03, 0x3986a158cb96d595, 0x8f80586ce692612b, 0x305cafda7e4df9d6, 0xc1a1c2e06452914a, 0x7ef989c0eb583079, 0x3a765b1f7364b099, 0x4fee236d58299c6b, 0x6f81095f770e8419, 0x53bbd86b7396bc09, 0x2b72ba726b2b4210, 0x625dda1d2901c78b, 0x0ff5bc7b18cd2b3e, 0x0556598c7358d332, 0x0991245f20ff50d7, 0x0e7f58e5e919a97e, 0x5a0561373b758756, 0x6447bc93f87c198a, 0xf9230604c34c7520, 0x6b214425475c1bfa, 0xe93de62d6a7f9497, 0x2129459d86f4493c, 0x456394c7c464cfe4, 0x612434fec3f4a1b3, 0x1ed91eddf44261f3, 0x0c6d3854f9e0a3ff, 0xd3fd153188a7e4e3, 0x24691fbdca16910c, 0xbe97465cd7625c9d, 0x2aa61cd373f759f4, 0x824d5763a326d62b, 0x1a0ae39e50da20ba, 0x32d0c8481ee4c3b9, 0x6c3687109cdd18c6, 0xe52717142fbf95da, 0x67bfa41fb52ce9c6, 0x4e24d6a088a01474, 0x49a6ca0ae3fb6626, 0xd67f8faa9103191e, 0x674888f5aa6d3062, 0x4ba73824c2e85a99, 0x406b2fd18d35b314, 0xa7087b1bea728ac1, 0x11d2f222317b160e, 0xf8946e007e23a469, 0x22a196fabbce31a2, 0x5309ee1bdc1216ba, 0x240fe9953827a324, 0xf9fcb89b63aeb5c7, 0x603b8149ed16b1b0, 0xb1f1876c02cf61fb, 0x4a5e32af612f948b, 0xfc491aede69a8813, 0x1ad9379136e53aa5, 0x5da50db1d5e6c123, 0x2f4014f7fe2c12ca, 0xe4f6791d7685c3f5, 0x4c218521c3745a9b, 0x0c0521af98555f97, 0x1462a12953cada7b, 0x0bb2ab63d6452c1b, 0x5783c531ec98bb87, 0x737def53605dbc9c, 0x49f982b930e86719, 0x75b16790cb5211e3, 0x45ad6574cdbae99e, 0x1062b72dfeec9851, 0x45029a09cc468c88, 0x532240de77f3a1f2, 0x17bd291eaa9ad0ea, 0xe0a2d7efc2f8a0a0, 0x3a7412052021778e, 0xb0dfb0976acc90df, 0x7fd603b689a7b1f3, 0x1152579ccb00d6c6, 0x6340743b631849a3, 0xebaa47290e0cda01, 0x143265a6d53fef0b, 0x45325d6fd981e75a, 0x0e9780cc39586f2a, 0xa4f68d207a8628dd, 0x50d230b51893e841, 0xf3bd769a4bb504b6, 0x55975c063969292e, 0x07727ba25fb8756f, 0x07ff86cf8ed731fd, 0xef57fa40cc35a1f0, 0x70753a70874218fc, 0x615954e2342b973c, 0x5aa9d68f1a59df86, 0x3b8e9e9ff5e44468, 0x2e749114d60a3d23, 0x14a1b91ec176db4b, 0x55f91a63d69aae6d, 0xf42382327b1b6d27, 0x2acf1f475facaafd, 0xfd9069b479b58968, 0x3baaf4e5c4a45f77, 0xa2ac9ab98a7aaab6, 0x5466cb5018f50981, 0x3e6ba27771ba3205, 0x31ea90cdea1bbbe4, 0x0000416b5c557393, 0x464cb0415a510d7d, 0xd02087d206ff2bbf, 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