Update Equihash hash generation to match the Zcash spec
Changes: - floor(512/n)*n/8 bytes of BLAKE2b output is split between floor(512/n) adjacent indices, instead of using one hash call per index. - Parameters with n/(k+1) mod 8 != 0 will expand the BLAKE2b output to byte boundaries for colliding, instead of using a longer output and clearing bits. - The genesis blocks have been regenerated. - The test vectors have been regenerated. - The Equihash inputs for the cancellation tests were modified to ensure that valid solutions were available to exercise the full solver.
This commit is contained in:
Jack Grigg
@@ -95,90 +95,97 @@ void TestEquihashValidator(unsigned int n, unsigned int k, const std::string &I,
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BOOST_AUTO_TEST_CASE(solver_testvectors) {
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TestEquihashSolvers(96, 5, "block header", 0, {
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{976, 126621, 100174, 123328, 38477, 105390, 38834, 90500, 6411, 116489, 51107, 129167, 25557, 92292, 38525, 56514, 1110, 98024, 15426, 74455, 3185, 84007, 24328, 36473, 17427, 129451, 27556, 119967, 31704, 62448, 110460, 117894},
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{1008, 18280, 34711, 57439, 3903, 104059, 81195, 95931, 58336, 118687, 67931, 123026, 64235, 95595, 84355, 122946, 8131, 88988, 45130, 58986, 59899, 78278, 94769, 118158, 25569, 106598, 44224, 96285, 54009, 67246, 85039, 127667},
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{1278, 107636, 80519, 127719, 19716, 130440, 83752, 121810, 15337, 106305, 96940, 117036, 46903, 101115, 82294, 118709, 4915, 70826, 40826, 79883, 37902, 95324, 101092, 112254, 15536, 68760, 68493, 125640, 67620, 108562, 68035, 93430},
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{3976, 108868, 80426, 109742, 33354, 55962, 68338, 80112, 26648, 28006, 64679, 130709, 41182, 126811, 56563, 129040, 4013, 80357, 38063, 91241, 30768, 72264, 97338, 124455, 5607, 36901, 67672, 87377, 17841, 66985, 77087, 85291},
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{5970, 21862, 34861, 102517, 11849, 104563, 91620, 110653, 7619, 52100, 21162, 112513, 74964, 79553, 105558, 127256, 21905, 112672, 81803, 92086, 43695, 97911, 66587, 104119, 29017, 61613, 97690, 106345, 47428, 98460, 53655, 109002}
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});
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TestEquihashSolvers(96, 5, "block header", 1, {
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{1911, 96020, 94086, 96830, 7895, 51522, 56142, 62444, 15441, 100732, 48983, 64776, 27781, 85932, 101138, 114362, 4497, 14199, 36249, 41817, 23995, 93888, 35798, 96337, 5530, 82377, 66438, 85247, 39332, 78978, 83015, 123505}
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});
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TestEquihashSolvers(96, 5, "block header", 2, {
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{3389, 110764, 37520, 58346, 4112, 61459, 47776, 84587, 11643, 34988, 36560, 98422, 36242, 47864, 76737, 80053, 3422, 74285, 77922, 101376, 58602, 104312, 64513, 89638, 10240, 76326, 27584, 36949, 43637, 75295, 56666, 91601}
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{165, 27290, 87424, 123403, 5344, 35125, 49154, 108221, 8882, 90328, 77359, 92348, 54692, 81690, 115200, 121929, 18968, 122421, 32882, 128517, 56629, 88083, 88022, 102461, 35665, 62833, 95988, 114502, 39965, 119818, 45010, 94889}
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});
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TestEquihashSolvers(96, 5, "block header", 10, {
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{787, 20674, 53516, 73404, 4022, 110690, 35427, 58606, 22749, 129878, 34185, 112292, 56949, 100033, 100182, 115894, 13225, 23627, 94405, 114446, 14243, 118738, 36358, 79934, 49517, 78196, 85137, 85376, 57430, 77040, 102235, 114826},
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{2656, 33964, 2683, 87167, 19223, 113046, 67505, 101388, 12585, 77102, 18807, 117333, 70932, 106281, 85381, 118430, 6664, 12926, 6868, 33372, 15227, 128690, 89250, 96792, 14322, 23199, 32286, 57355, 54637, 130050, 70335, 99067},
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{4207, 21880, 85981, 113070, 16301, 41187, 88537, 103201, 6295, 86241, 21605, 56786, 28030, 80680, 52120, 79774, 7875, 56055, 25882, 112870, 9719, 40271, 35223, 50883, 27959, 92599, 70158, 106739, 31838, 117463, 69735, 83367},
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{9637, 51478, 44285, 93559, 76796, 108515, 123998, 124708, 17379, 29371, 21401, 48583, 62725, 80279, 109465, 111074, 16793, 128680, 42090, 42327, 34750, 101600, 64379, 84300, 48256, 49313, 82752, 87659, 67566, 117002, 78981, 122103}
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{1855, 37525, 81472, 112062, 11831, 38873, 45382, 82417, 11571, 47965, 71385, 119369, 13049, 64810, 26995, 34659, 6423, 67533, 88972, 105540, 30672, 80244, 39493, 94598, 17858, 78496, 35376, 118645, 50186, 51838, 70421, 103703},
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{3671, 125813, 31502, 78587, 25500, 83138, 74685, 98796, 8873, 119842, 21142, 55332, 25571, 122204, 31433, 80719, 3955, 49477, 4225, 129562, 11837, 21530, 75841, 120644, 4653, 101217, 19230, 113175, 16322, 24384, 21271, 96965}
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});
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TestEquihashSolvers(96, 5, "block header", 11, {
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{1638, 116919, 4749, 45156, 58749, 103900, 92294, 109359, 16076, 89395, 21938, 121398, 18847, 43685, 53116, 114427, 7067, 69901, 23179, 73689, 33890, 103453, 66168, 129978, 57522, 115912, 81791, 123826, 76090, 96629, 120289, 123662},
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{2957, 38313, 18116, 83967, 10458, 51007, 13244, 61860, 16311, 113118, 76034, 90819, 43134, 61561, 68365, 93667, 7626, 86183, 62381, 109415, 90075, 114836, 93702, 131024, 19175, 124662, 20036, 34896, 33427, 60491, 103672, 107450}
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{2570, 20946, 61727, 130667, 16426, 62291, 107177, 112384, 18464, 125099, 120313, 127545, 35035, 73082, 118591, 120800, 13800, 32837, 23607, 86516, 17339, 114578, 22053, 85510, 14913, 42826, 25168, 121262, 33673, 114773, 77592, 83471}
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});
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TestEquihashSolvers(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 0, {
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{3130, 83179, 30454, 107686, 71240, 88412, 109700, 114639, 10024, 32706, 38019, 113013, 18399, 92942, 21094, 112263, 4146, 30807, 10631, 73192, 22216, 90216, 45581, 125042, 11256, 119455, 93603, 110112, 59851, 91545, 97403, 111102},
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{3822, 35317, 47508, 119823, 37652, 117039, 69087, 72058, 13147, 111794, 65435, 124256, 22247, 66272, 30298, 108956, 13157, 109175, 37574, 50978, 31258, 91519, 52568, 107874, 14999, 103687, 27027, 109468, 36918, 109660, 42196, 100424}
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});
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TestEquihashSolvers(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1, {
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{2154, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278},
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{3521, 83631, 86264, 106366, 62729, 102245, 74046, 114174, 45281, 59655, 45686, 60328, 71798, 123267, 83891, 121660, 12375, 83210, 94890, 120434, 35140, 109028, 65151, 89820, 18962, 24744, 55758, 116061, 63695, 125324, 98242, 125805}
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{2261, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568},
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{16700, 46276, 21232, 43153, 22398, 58511, 47922, 71816, 23370, 26222, 39248, 40137, 65375, 85794, 69749, 73259, 23599, 72821, 42250, 52383, 35267, 75893, 52152, 57181, 27137, 101117, 45804, 92838, 29548, 29574, 37737, 113624}
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});
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TestEquihashSolvers(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 2, {
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{6310, 126030, 19266, 92728, 22993, 43617, 59500, 110969, 8633, 95173, 11769, 69347, 21455, 114538, 67360, 77234, 7538, 84336, 27001, 79803, 33408, 111870, 42328, 48938, 19045, 48081, 55314, 86688, 24992, 93296, 68568, 106618}
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{6005, 59843, 55560, 70361, 39140, 77856, 44238, 57702, 32125, 121969, 108032, 116542, 37925, 75404, 48671, 111682, 6937, 93582, 53272, 77545, 13715, 40867, 73187, 77853, 7348, 70313, 24935, 24978, 25967, 41062, 58694, 110036}
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});
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TestEquihashSolvers(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 10, {
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{6768, 10445, 80746, 128923, 28583, 50486, 47353, 58892, 35052, 45980, 61445, 103307, 67117, 94090, 78715, 109244, 20795, 102820, 31354, 91894, 50174, 126488, 77522, 80142, 28219, 74825, 66159, 73984, 60786, 121859, 70144, 120379},
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{7865, 119271, 33055, 103984, 19519, 65954, 36562, 123493, 10038, 60327, 10645, 98001, 10748, 108967, 73961, 99283, 20538, 21631, 41159, 81213, 71041, 74642, 97906, 107612, 47736, 74711, 75451, 117319, 53428, 73882, 73362, 125084}
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{968, 90691, 70664, 112581, 17233, 79239, 66772, 92199, 27801, 44198, 58712, 122292, 28227, 126747, 70925, 118108, 2876, 76082, 39335, 113764, 26643, 60579, 50853, 70300, 19640, 31848, 28672, 87870, 33574, 50308, 40291, 61593},
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{1181, 61261, 75793, 96302, 36209, 113590, 79236, 108781, 8275, 106510, 11877, 74550, 45593, 80595, 71247, 95783, 2991, 99117, 56413, 71287, 10235, 68286, 22016, 104685, 51588, 53344, 56822, 63386, 63527, 75772, 93100, 108542},
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{2229, 30387, 14573, 115700, 20018, 124283, 84929, 91944, 26341, 64220, 69433, 82466, 29778, 101161, 59334, 79798, 2533, 104985, 50731, 111094, 10619, 80909, 15555, 119911, 29028, 42966, 51958, 86784, 34561, 97709, 77126, 127250},
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{15465, 59017, 93851, 112478, 24940, 128791, 26154, 107289, 24050, 78626, 51948, 111573, 35117, 113754, 36317, 67606, 21508, 91486, 28293, 126983, 23989, 39722, 60567, 97243, 26720, 56243, 60444, 107530, 40329, 56467, 91943, 93737}
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});
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TestEquihashSolvers(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 11, {
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{637, 78032, 97478, 118268, 16058, 44395, 19029, 39150, 1566, 66582, 4084, 107252, 59619, 116281, 67957, 128728, 30916, 69051, 90422, 102716, 51905, 66753, 60509, 78066, 38568, 119630, 75839, 113134, 54356, 70996, 63085, 83048},
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{4130, 71826, 46248, 50447, 4281, 129092, 23122, 103196, 9305, 34797, 111094, 127775, 82662, 120386, 109738, 124765, 24770, 125174, 83477, 102473, 45209, 79062, 84764, 125929, 31689, 95554, 66614, 127658, 31756, 55684, 53670, 53776}
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{1120, 77433, 58243, 76860, 11411, 96068, 13150, 35878, 15049, 88928, 20101, 104706, 29215, 73328, 39498, 83529, 9233, 124174, 66731, 97423, 10823, 92444, 25647, 127742, 12207, 46292, 22018, 120758, 14411, 46485, 21828, 57591}
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});
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TestEquihashSolvers(96, 5, "Test case with 3+-way collision in the final round.", 0x2af3, {
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{1093, 45982, 37399, 89200, 29813, 113936, 40951, 64027, 4370, 122807, 82736, 119086, 21530, 60168, 65163, 68120, 2310, 94346, 22675, 61162, 19193, 54507, 38352, 94322, 5341, 65047, 48071, 120787, 32561, 129305, 62593, 93497},
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{6411, 91796, 58827, 93129, 6705, 74430, 91891, 124391, 32765, 128544, 51395, 74269, 55980, 89012, 58573, 75543, 7902, 22572, 27944, 66370, 61755, 76417, 68687, 90417, 31576, 105479, 117582, 130960, 52751, 53260, 71636, 118134},
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{6411, 91796, 58827, 93129, 6705, 74430, 91891, 124391, 32765, 128544, 51395, 74269, 55980, 89012, 58573, 75543, 7902, 22572, 61755, 76417, 27944, 66370, 68687, 90417, 31576, 105479, 117582, 130960, 52751, 53260, 71636, 118134},
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{6411, 91796, 58827, 93129, 6705, 74430, 91891, 124391, 32765, 128544, 51395, 74269, 55980, 89012, 58573, 75543, 7902, 22572, 68687, 90417, 27944, 66370, 61755, 76417, 31576, 105479, 117582, 130960, 52751, 53260, 71636, 118134},
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{11541, 106147, 29075, 118360, 53060, 62499, 109856, 118745, 14581, 56663, 114595, 121986, 35542, 72577, 88428, 116033, 11996, 55170, 16966, 94150, 16116, 81559, 34889, 112430, 37304, 104803, 92442, 119354, 46613, 72741, 50259, 89047}
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TestEquihashSolvers(96, 5, "Test case with 3+-way collision in the final round.", 0x07f0, {
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{1162, 129543, 57488, 82745, 18311, 115612, 20603, 112899, 5635, 103373, 101651, 125986, 52160, 70847, 65152, 101720, 5810, 43165, 64589, 105333, 11347, 63836, 55495, 96392, 40767, 81019, 53976, 94184, 41650, 114374, 45109, 57038},
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{2321, 121781, 36792, 51959, 21685, 67596, 27992, 59307, 13462, 118550, 37537, 55849, 48994, 58515, 78703, 100100, 11189, 98120, 45242, 116128, 33260, 47351, 61550, 116649, 11927, 20590, 35907, 107966, 28779, 57407, 54793, 104108},
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{2321, 121781, 36792, 51959, 21685, 67596, 27992, 59307, 13462, 118550, 37537, 55849, 48994, 78703, 58515, 100100, 11189, 98120, 45242, 116128, 33260, 47351, 61550, 116649, 11927, 20590, 35907, 107966, 28779, 57407, 54793, 104108},
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{2321, 121781, 36792, 51959, 21685, 67596, 27992, 59307, 13462, 118550, 37537, 55849, 48994, 100100, 58515, 78703, 11189, 98120, 45242, 116128, 33260, 47351, 61550, 116649, 11927, 20590, 35907, 107966, 28779, 57407, 54793, 104108},
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{4488, 83544, 24912, 62564, 43206, 62790, 68462, 125162, 6805, 8886, 46937, 54588, 15509, 126232, 19426, 27845, 5959, 56839, 38806, 102580, 11255, 63258, 23442, 39750, 13022, 22271, 24110, 52077, 17422, 124996, 35725, 101509},
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{8144, 33053, 33933, 77498, 21356, 110495, 42805, 116575, 27360, 48574, 100682, 102629, 50754, 64608, 96899, 120978, 11924, 74422, 49240, 106822, 12787, 68290, 44314, 50005, 38056, 49716, 83299, 95307, 41798, 82309, 94504, 96161}
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});
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}
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BOOST_AUTO_TEST_CASE(validator_testvectors) {
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// Original valid solution
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{2154, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278},
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{2261, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568},
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true);
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// Change one index
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{2155, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278},
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{2262, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568},
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false);
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// Swap two arbitrary indices
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{62307, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 2154, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278},
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{45858, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 2261, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568},
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false);
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// Reverse the first pair of indices
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{87055, 2154, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278},
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{15185, 2261, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568},
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false);
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// Swap the first and second pairs of indices
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{7922, 12920, 2154, 87055, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278},
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{36112, 104243, 2261, 15185, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568},
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false);
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// Swap the second-to-last and last pairs of indices
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{2154, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 126764, 128278, 68078, 129665},
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{2261, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 104973, 122568, 69567, 114474},
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false);
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// Swap the first half and second half
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{19673, 24483, 33984, 91500, 38171, 85505, 94625, 106140, 31530, 60861, 59391, 117337, 68078, 129665, 126764, 128278, 2154, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891},
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{15972, 115059, 85191, 90330, 68190, 122819, 81830, 91132, 23460, 49807, 52426, 80391, 69567, 114474, 104973, 122568, 2261, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026},
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false);
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// Sort the indices
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TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
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{2154, 2432, 3912, 7922, 10987, 12920, 19673, 24483, 31530, 33984, 38171, 45189, 48178, 48280, 49783, 59391, 60861, 62307, 67880, 68078, 85505, 87055, 91500, 93891, 94625, 106140, 117337, 122795, 124296, 126764, 128278, 129665},
|
||||
{2261, 15185, 15972, 23460, 23779, 32642, 36112, 45858, 49807, 52426, 68190, 69567, 69878, 76925, 80080, 80391, 81830, 85191, 90330, 91132, 92842, 104243, 104973, 111026, 114474, 115059, 116805, 118332, 118390, 122568, 122819, 130041},
|
||||
false);
|
||||
// Duplicate indices
|
||||
TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
|
||||
{2154, 2154, 87055, 87055, 7922, 7922, 12920, 12920, 45189, 45189, 49783, 49783, 122795, 122795, 124296, 124296, 2432, 2432, 48178, 48178, 48280, 48280, 67880, 67880, 3912, 3912, 62307, 62307, 10987, 10987, 93891, 93891},
|
||||
{2261, 2261, 15185, 15185, 36112, 36112, 104243, 104243, 23779, 23779, 118390, 118390, 118332, 118332, 130041, 130041, 32642, 32642, 69878, 69878, 76925, 76925, 80080, 80080, 45858, 45858, 116805, 116805, 92842, 92842, 111026, 111026},
|
||||
false);
|
||||
// Duplicate first half
|
||||
TestEquihashValidator(96, 5, "Equihash is an asymmetric PoW based on the Generalised Birthday problem.", 1,
|
||||
{2154, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891, 2154, 87055, 7922, 12920, 45189, 49783, 122795, 124296, 2432, 48178, 48280, 67880, 3912, 62307, 10987, 93891},
|
||||
{2261, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026, 2261, 15185, 36112, 104243, 23779, 118390, 118332, 130041, 32642, 69878, 76925, 80080, 45858, 116805, 92842, 111026},
|
||||
false);
|
||||
}
|
||||
|
||||
|
||||
Reference in New Issue
Block a user