STAISTIC ON THE CLASSIFICATION OF THE OUTSIDERS FROM THE LEFT AND THE RIGTH tAIL - FOR THE FIVE RNG / 50000 BIGCRUSH EACH ------------------------------------------------------------------------------------------------------------------------- RNG GREEN RED MAGENTA BLUE =================================================================================================================================== GREEN = Reporting of p-value with ***** is correct in Summary AHS-1 ¦ 17675 ¦ 6556 ¦ 910 ¦ 1464 ¦ 26605 ¦ RED = p-value with ***** not reported in Summary / 3 variants AHS-2 ¦ 17597 ¦ 6578 ¦ 865 ¦ 1407 ¦ 26447 ¦ MAGENTA = p.value with ***** not reported, but same Stat with AHS-3 ¦ 17315 ¦ 6519 ¦ 866 ¦ 1382 ¦ 26082 ¦ different sub-stat reported. This one is < as the reported MT19937 ¦ 17522 ¦ 6432 ¦ 919 ¦ 1385 ¦ 26258 ¦ BLUE = p.value with ***** not reported, but same Stat with XOshiro ¦ 17550 ¦ 6553 ¦ 914 ¦ 1347 ¦ 26364 ¦ different sub-stat reported. This one is >= as the reported ¦ ¦ ¦ ¦ ¦ ¦ G.Total ¦ 87659 ¦ 32638 ¦ 4474 ¦ 6985 ¦ 131756 ¦ =================================================================================================================================== Stat.substat no p-value no Description of the test RNG GREEN RED MAGENTA BLUE =================================================================================================================================== 1.0 Test smarsa_SerialOver calling smultin_MultinomialOver AHS-1 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ smultin_MultinomialOver test: AHS-2 ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ pv 1 ----------------------------------------------- AHS-3 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ N = 1, n = 1000000000, r = 0, d = 256, t = 3, MT19937 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Sparse = FALSE XOshiro ¦ 117 ¦ ¦ ¦ ¦ 117 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 507 ¦ ¦ ¦ ¦ 507 ¦ =================================================================================================================================== 2.0 Test smarsa_SerialOver calling smultin_MultinomialOver AHS-1 ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ smultin_MultinomialOver test: AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 2 ----------------------------------------------- AHS-3 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ N = 1, n = 1000000000, r = 22, d = 256, t = 3, MT19937 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ Sparse = FALSE XOshiro ¦ 81 ¦ ¦ ¦ ¦ 81 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 450 ¦ ¦ ¦ ¦ 450 ¦ =================================================================================================================================== 3.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ smultin_MultinomialOver test: AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 3 ----------------------------------------------- AHS-3 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ N = 30, n = 20000000, r = 0, d = 2097152, t = 2, MT19937 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ Sparse = TRUE XOshiro ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 528 ¦ ¦ ¦ ¦ 528 ¦ =================================================================================================================================== 4.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ smultin_MultinomialOver test: AHS-2 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ pv 4 ----------------------------------------------- AHS-3 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ N = 30, n = 20000000, r = 9, d = 2097152, t = 2, MT19937 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ Sparse = TRUE XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 467 ¦ ¦ ¦ ¦ 467 ¦ =================================================================================================================================== 5.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ smultin_MultinomialOver test: AHS-2 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ pv 5 ----------------------------------------------- AHS-3 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ N = 30, n = 20000000, r = 0, d = 16384, t = 3, MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Sparse = TRUE XOshiro ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 496 ¦ ¦ ¦ ¦ 496 ¦ =================================================================================================================================== 6.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ smultin_MultinomialOver test: AHS-2 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ pv 6 ----------------------------------------------- AHS-3 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ N = 30, n = 20000000, r = 16, d = 16384, t = 3, MT19937 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ Sparse = TRUE XOshiro ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 485 ¦ ¦ ¦ ¦ 485 ¦ =================================================================================================================================== 7.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ smultin_MultinomialOver test: AHS-2 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ pv 7 ----------------------------------------------- AHS-3 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ N = 30, n = 20000000, r = 0, d = 64, t = 7, MT19937 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ Sparse = TRUE XOshiro ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 544 ¦ ¦ ¦ ¦ 544 ¦ =================================================================================================================================== 8.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 123 ¦ ¦ ¦ ¦ 123 ¦ smultin_MultinomialOver test: AHS-2 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ pv 8 ----------------------------------------------- AHS-3 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ N = 30, n = 20000000, r = 24, d = 64, t = 7, MT19937 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ Sparse = TRUE XOshiro ¦ 124 ¦ ¦ ¦ ¦ 124 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 584 ¦ ¦ ¦ ¦ 584 ¦ =================================================================================================================================== 9.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 289 ¦ ¦ ¦ ¦ 289 ¦ smultin_MultinomialOver test: AHS-2 ¦ 347 ¦ ¦ ¦ ¦ 347 ¦ pv 9 ----------------------------------------------- AHS-3 ¦ 319 ¦ ¦ ¦ ¦ 319 ¦ N = 30, n = 20000000, r = 0, d = 8, t = 14, MT19937 ¦ 334 ¦ ¦ ¦ ¦ 334 ¦ Sparse = TRUE XOshiro ¦ 297 ¦ ¦ ¦ ¦ 297 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 1586 ¦ ¦ ¦ ¦ 1586 ¦ =================================================================================================================================== 10.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 301 ¦ ¦ ¦ ¦ 301 ¦ smultin_MultinomialOver test: AHS-2 ¦ 287 ¦ ¦ ¦ ¦ 287 ¦ pv 10 ----------------------------------------------- AHS-3 ¦ 305 ¦ ¦ ¦ ¦ 305 ¦ N = 30, n = 20000000, r = 27, d = 8, t = 14, MT19937 ¦ 311 ¦ ¦ ¦ ¦ 311 ¦ Sparse = TRUE XOshiro ¦ 298 ¦ ¦ ¦ ¦ 298 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 1502 ¦ ¦ ¦ ¦ 1502 ¦ =================================================================================================================================== 11.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 829 ¦ ¦ ¦ ¦ 829 ¦ smultin_MultinomialOver test: AHS-2 ¦ 816 ¦ ¦ ¦ ¦ 816 ¦ pv 11 ----------------------------------------------- AHS-3 ¦ 811 ¦ ¦ ¦ ¦ 811 ¦ N = 30, n = 20000000, r = 0, d = 4, t = 21, MT19937 ¦ 854 ¦ ¦ ¦ ¦ 854 ¦ Sparse = TRUE XOshiro ¦ 805 ¦ ¦ ¦ ¦ 805 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 4115 ¦ ¦ ¦ ¦ 4115 ¦ =================================================================================================================================== 12.0 Test smarsa_CollisionOver calling smultin_MultinomialOver AHS-1 ¦ 773 ¦ ¦ ¦ ¦ 773 ¦ smultin_MultinomialOver test: AHS-2 ¦ 799 ¦ ¦ ¦ ¦ 799 ¦ pv 12 ----------------------------------------------- AHS-3 ¦ 855 ¦ ¦ ¦ ¦ 855 ¦ N = 30, n = 20000000, r = 28, d = 4, t = 21, MT19937 ¦ 866 ¦ ¦ ¦ ¦ 866 ¦ Sparse = TRUE XOshiro ¦ 872 ¦ ¦ ¦ ¦ 872 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 4165 ¦ ¦ ¦ ¦ 4165 ¦ =================================================================================================================================== 13.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ pv 13 N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1 AHS-3 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ MT19937 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ Number of cells = d^t = 4611686018427387904 XOshiro ¦ 79 ¦ ¦ ¦ ¦ 79 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 489 ¦ ¦ ¦ ¦ 489 ¦ =================================================================================================================================== 14.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ 80 ¦ ¦ ¦ ¦ 80 ¦ pv 14 N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1 AHS-3 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ MT19937 ¦ 78 ¦ ¦ ¦ ¦ 78 ¦ Number of cells = d^t = 9223372036854775808 XOshiro ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 445 ¦ ¦ ¦ ¦ 445 ¦ =================================================================================================================================== 15.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ----------------------------------------------- AHS-2 ¦ 81 ¦ ¦ ¦ ¦ 81 ¦ pv 15 N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ MT19937 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ Number of cells = d^t = 18446744073709551616 XOshiro ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 474 ¦ ¦ ¦ ¦ 474 ¦ =================================================================================================================================== 16.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ ----------------------------------------------- AHS-2 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ pv 16 N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ MT19937 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ Number of cells = d^t = 9223372036854775808 XOshiro ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 500 ¦ ¦ ¦ ¦ 500 ¦ =================================================================================================================================== 17.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ----------------------------------------------- AHS-2 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ pv 17 N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1 AHS-3 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Number of cells = d^t = 9223372036854775808 XOshiro ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 486 ¦ ¦ ¦ ¦ 486 ¦ =================================================================================================================================== 18.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ----------------------------------------------- AHS-2 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ pv 18 N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1 AHS-3 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ MT19937 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ Number of cells = d^t = 18446744073709551616 XOshiro ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 484 ¦ ¦ ¦ ¦ 484 ¦ =================================================================================================================================== 19.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ----------------------------------------------- AHS-2 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ pv 19 N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1 AHS-3 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ MT19937 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Number of cells = d^t = 18446744073709551616 XOshiro ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 447 ¦ ¦ ¦ ¦ 447 ¦ =================================================================================================================================== 20.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 20 N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ MT19937 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ Number of cells = d^t = 18446744073709551616 XOshiro ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 518 ¦ ¦ ¦ ¦ 518 ¦ =================================================================================================================================== 21.0 smarsa_BirthdaySpacings test: AHS-1 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ ----------------------------------------------- AHS-2 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ pv 21 N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1 AHS-3 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ MT19937 ¦ 82 ¦ ¦ ¦ ¦ 82 ¦ Number of cells = d^t = 18446744073709551616 XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 470 ¦ ¦ ¦ ¦ 470 ¦ =================================================================================================================================== 22.1 snpair_ClosePairs test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ pv 22 N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Test based on the 2 nearest points (NP): MT19937 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ XOshiro ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 505 ¦ ¦ ¦ ¦ 505 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 22.2 snpair_ClosePairs test: AHS-1 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ----------------------------------------------- AHS-2 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ pv 23 N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ A2 test based on the spacings between the MT19937 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ successive jump times of process Y_n(t): XOshiro ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 473 ¦ ¦ ¦ ¦ 473 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 22.3 snpair_ClosePairs test: AHS-1 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ ----------------------------------------------- AHS-2 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ pv 24 N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ A2 test based on the spacings between the MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ successive jump times of process Y_n(t): XOshiro ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 465 ¦ ¦ ¦ ¦ 465 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 22.4 snpair_ClosePairs test: AHS-1 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ ----------------------------------------------- AHS-2 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ pv 25 N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Test on the jump times of Y MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ (superposition of Yn): XOshiro ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 493 ¦ ¦ ¦ ¦ 493 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 22.5 snpair_ClosePairs test: AHS-1 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ ----------------------------------------------- AHS-2 ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ pv 26 N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ Test on the jump times of Y MT19937 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ (superposition of Yn): XOshiro ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 464 ¦ ¦ ¦ ¦ 464 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 22.6 snpair_ClosePairs test: AHS-1 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ----------------------------------------------- AHS-2 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ pv 27 N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ Test on the jump times of Y MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ (superposition of Yn): XOshiro ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 473 ¦ ¦ ¦ ¦ 473 ¦ =================================================================================================================================== 23.1 snpair_ClosePairs test: AHS-1 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ----------------------------------------------- AHS-2 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ pv 28 N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ Test based on the 2 nearest points (NP): MT19937 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ Stat. AD on the N values (NP) XOshiro ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 452 ¦ ¦ ¦ ¦ 452 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 23.2 snpair_ClosePairs test: AHS-1 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ----------------------------------------------- AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 29 N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ A2 test based on the spacings between the MT19937 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ successive jump times of process Y_n(t): XOshiro ¦ 80 ¦ ¦ ¦ ¦ 80 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 475 ¦ ¦ ¦ ¦ 475 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 23.3 snpair_ClosePairs test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ pv 30 N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ A2 test based on the spacings between the MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ successive jump times of process Y_n(t): XOshiro ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 508 ¦ ¦ ¦ ¦ 508 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 23.4 snpair_ClosePairs test: AHS-1 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ----------------------------------------------- AHS-2 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ pv 31 N = 20, n = 4000000, r = 0, t = 5, p = 0, m =30, Torus = TRUE AHS-3 ¦ 77 ¦ ¦ ¦ ¦ 77 ¦ Test on the jump times of Y MT19937 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ (superposition of Yn): XOshiro ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 472 ¦ ¦ ¦ ¦ 472 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 23.5 snpair_ClosePairs test: AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 32 N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ Test on the jump times of Y MT19937 ¦ 81 ¦ ¦ ¦ ¦ 81 ¦ (superposition of Yn): XOshiro ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 464 ¦ ¦ ¦ ¦ 464 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 23.6 snpair_ClosePairs test: AHS-1 ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ ----------------------------------------------- AHS-2 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ pv 33 N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Test on the jump times of Y MT19937 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ (superposition of Yn): XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 481 ¦ ¦ ¦ ¦ 481 ¦ =================================================================================================================================== 24.1 snpair_ClosePairs test: AHS-1 ¦ 57 ¦ ¦ ¦ ¦ 57 ¦ ----------------------------------------------- AHS-2 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ pv 34 N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 72 ¦ ¦ ¦ ¦ 72 ¦ Test based on the 2 nearest points (NP): MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Stat. AD on the N values (NP) XOshiro ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 407 ¦ ¦ ¦ ¦ 407 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 24.2 snpair_ClosePairs test: AHS-1 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ ----------------------------------------------- AHS-2 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ pv 35 N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 78 ¦ ¦ ¦ ¦ 78 ¦ A2 test based on the spacings between the MT19937 ¦ 76 ¦ ¦ ¦ ¦ 76 ¦ successive jump times of process Y_n(t): XOshiro ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 408 ¦ ¦ ¦ ¦ 408 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 24.3 snpair_ClosePairs test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ pv 36 N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ A2 test based on the spacings between the MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ successive jump times of process Y_n(t): XOshiro ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 497 ¦ ¦ ¦ ¦ 497 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 24.4 snpair_ClosePairs test: AHS-1 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 37 N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ Test on the jump times of Y MT19937 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ (superposition of Yn): XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 496 ¦ ¦ ¦ ¦ 496 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 24.5 snpair_ClosePairs test: AHS-1 ¦ 124 ¦ ¦ ¦ ¦ 124 ¦ ----------------------------------------------- AHS-2 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ pv 38 N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Test on the jump times of Y MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ (superposition of Yn): XOshiro ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 510 ¦ ¦ ¦ ¦ 510 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 24.6 snpair_ClosePairs test: AHS-1 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ----------------------------------------------- AHS-2 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ pv 39 N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ Test on the jump times of Y MT19937 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ (superposition of Yn): XOshiro ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 494 ¦ ¦ ¦ ¦ 494 ¦ =================================================================================================================================== 25.1 snpair_ClosePairs test: AHS-1 ¦ 69 ¦ ¦ ¦ ¦ 69 ¦ ----------------------------------------------- AHS-2 ¦ 64 ¦ ¦ ¦ ¦ 64 ¦ pv 40 N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 47 ¦ ¦ ¦ ¦ 47 ¦ Test based on the 2 nearest points (NP): MT19937 ¦ 63 ¦ ¦ ¦ ¦ 63 ¦ Stat. AD on the N values (NP) XOshiro ¦ 60 ¦ ¦ ¦ ¦ 60 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 303 ¦ ¦ ¦ ¦ 303 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 25.2 snpair_ClosePairs test: AHS-1 ¦ 51 ¦ ¦ ¦ ¦ 51 ¦ ----------------------------------------------- AHS-2 ¦ 42 ¦ ¦ ¦ ¦ 42 ¦ pv 41 N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 50 ¦ ¦ ¦ ¦ 50 ¦ A2 test based on the spacings between the MT19937 ¦ 55 ¦ ¦ ¦ ¦ 55 ¦ successive jump times of process Y_n(t): XOshiro ¦ 44 ¦ ¦ ¦ ¦ 44 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 242 ¦ ¦ ¦ ¦ 242 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 25.3 snpair_ClosePairs test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ pv 42 N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ A2 test based on the spacings between the MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ successive jump times of process Y_n(t): XOshiro ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 487 ¦ ¦ ¦ ¦ 487 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 25.4 snpair_ClosePairs test: AHS-1 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ----------------------------------------------- AHS-2 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ pv 43 N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ Test on the jump times of Y MT19937 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ (superposition of Yn): XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 484 ¦ ¦ ¦ ¦ 484 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 25.5 snpair_ClosePairs test: AHS-1 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ ----------------------------------------------- AHS-2 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ pv 44 N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ Test on the jump times of Y MT19937 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ (superposition of Yn): XOshiro ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 503 ¦ ¦ ¦ ¦ 503 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 25.6 snpair_ClosePairs test: AHS-1 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ----------------------------------------------- AHS-2 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ pv 45 N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE AHS-3 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ Test on the jump times of Y MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ (superposition of Yn): XOshiro ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 472 ¦ ¦ ¦ ¦ 472 ¦ =================================================================================================================================== 26.0 AHS-1 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ sknuth_SimpPoker test: AHS-2 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ pv 46 ----------------------------------------------- AHS-3 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ N = 1, n = 400000000, r = 0, d = 8, k = 8 MT19937 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ Number of degrees of freedom : 7 XOshiro ¦ 121 ¦ ¦ ¦ ¦ 121 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 522 ¦ ¦ ¦ ¦ 522 ¦ =================================================================================================================================== 27.0 sknuth_SimpPoker test: AHS-1 ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ----------------------------------------------- AHS-2 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ pv 47 N = 1, n = 400000000, r = 27, d = 8, k = 8 AHS-3 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ Number of degrees of freedom : 7 MT19937 ¦ 122 ¦ ¦ ¦ ¦ 122 ¦ Chi-square statistic XOshiro ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 491 ¦ ¦ ¦ ¦ 491 ¦ =================================================================================================================================== 28.0 sknuth_SimpPoker test: AHS-1 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 48 N = 1, n = 100000000, r = 0, d = 32, k = 32 AHS-3 ¦ 124 ¦ ¦ ¦ ¦ 124 ¦ Number of degrees of freedom : 18 MT19937 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Chi-square statistic XOshiro ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 513 ¦ ¦ ¦ ¦ 513 ¦ =================================================================================================================================== 29.0 sknuth_SimpPoker test: AHS-1 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ----------------------------------------------- AHS-2 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ pv 49 N = 1, n = 100000000, r = 25, d = 32, k = 32 AHS-3 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ Number of degrees of freedom : 18 MT19937 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ Chi-square statistic XOshiro ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 478 ¦ ¦ ¦ ¦ 478 ¦ =================================================================================================================================== 30.0 sknuth_CouponCollector test: AHS-1 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ pv 50 N = 1, n = 200000000, r = 0, d = 8 AHS-3 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Number of degrees of freedom : 54 MT19937 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ Chi-square statistic XOshiro ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 493 ¦ ¦ ¦ ¦ 493 ¦ =================================================================================================================================== 31.0 sknuth_CouponCollector test: AHS-1 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ pv 51 N = 1, n = 200000000, r = 10, d = 8 AHS-3 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ Number of degrees of freedom : 54 MT19937 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Chi-square statistic XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 497 ¦ ¦ ¦ ¦ 497 ¦ =================================================================================================================================== 32.0 sknuth_CouponCollector test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 52 N = 1, n = 200000000, r = 20, d = 8 AHS-3 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ Number of degrees of freedom : 54 MT19937 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ Chi-square statistic XOshiro ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 490 ¦ ¦ ¦ ¦ 490 ¦ =================================================================================================================================== 33.0 sknuth_CouponCollector test: AHS-1 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ pv 53 N = 1, n = 200000000, r = 27, d = 8 AHS-3 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ Number of degrees of freedom : 54 MT19937 ¦ 71 ¦ ¦ ¦ ¦ 71 ¦ Chi-square statistic XOshiro ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 476 ¦ ¦ ¦ ¦ 476 ¦ =================================================================================================================================== 34.0 sknuth_Gap test: AHS-1 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ ----------------------------------------------- AHS-2 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ pv 54 N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Number of degrees of freedom : 232 MT19937 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ Chi-square statistic XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 513 ¦ ¦ ¦ ¦ 513 ¦ =================================================================================================================================== 35.0 sknuth_Gap test: AHS-1 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 55 N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 AHS-3 ¦ 78 ¦ ¦ ¦ ¦ 78 ¦ Number of degrees of freedom : 434 MT19937 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ Chi-square statistic XOshiro ¦ 127 ¦ ¦ ¦ ¦ 127 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 511 ¦ ¦ ¦ ¦ 511 ¦ =================================================================================================================================== 36.0 sknuth_Gap test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ pv 56 N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 AHS-3 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ Number of degrees of freedom : 1437 MT19937 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Chi-square statistic XOshiro ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 511 ¦ ¦ ¦ ¦ 511 ¦ =================================================================================================================================== 37.0 sknuth_Gap test: AHS-1 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ----------------------------------------------- AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 57 N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Number of degrees of freedom : 7046 MT19937 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Chi-square statistic XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 516 ¦ ¦ ¦ ¦ 516 ¦ =================================================================================================================================== 38.1 sknuth_Gap test: AHS-1 ¦ ¦ 73 ¦ 18 ¦ 15 ¦ 106 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 63 ¦ 21 ¦ 12 ¦ 96 ¦ pv 58 N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 AHS-3 ¦ ¦ 58 ¦ 11 ¦ 15 ¦ 84 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 55 ¦ 30 ¦ 22 ¦ 107 ¦ XOshiro ¦ ¦ 56 ¦ 18 ¦ 17 ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 305 ¦ 98 ¦ 81 ¦ 484 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 38.2 sknuth_Gap test: AHS-1 ¦ ¦ 84 ¦ 9 ¦ 2 ¦ 95 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 70 ¦ 4 ¦ 3 ¦ 77 ¦ pv 59 N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 AHS-3 ¦ ¦ 80 ¦ 7 ¦ 2 ¦ 89 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 84 ¦ 9 ¦ 9 ¦ 102 ¦ XOshiro ¦ ¦ 75 ¦ 9 ¦ 3 ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 393 ¦ 38 ¦ 19 ¦ 450 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 38.3 sknuth_Gap test: AHS-1 ¦ ¦ 14 ¦ 7 ¦ 34 ¦ 55 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 14 ¦ 9 ¦ 26 ¦ 49 ¦ pv 60 N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 AHS-3 ¦ ¦ 16 ¦ 6 ¦ 28 ¦ 50 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 13 ¦ 18 ¦ 29 ¦ 60 ¦ XOshiro ¦ ¦ 15 ¦ 8 ¦ 38 ¦ 61 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 72 ¦ 48 ¦ 155 ¦ 275 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 38.4 sknuth_Gap test: AHS-1 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ----------------------------------------------- AHS-2 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ pv 61 N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 AHS-3 ¦ 76 ¦ ¦ ¦ ¦ 76 ¦ Test on the sum of all N observations MT19937 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ Number of degrees of freedom : 30 XOshiro ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 494 ¦ ¦ ¦ ¦ 494 ¦ =================================================================================================================================== 39.1 sknuth_Run test: AHS-1 ¦ ¦ 74 ¦ 18 ¦ 27 ¦ 119 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 91 ¦ 24 ¦ 24 ¦ 139 ¦ pv 62 N = 10, n = 1000000000, r = 15, Up = TRUE AHS-3 ¦ ¦ 84 ¦ 14 ¦ 17 ¦ 115 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 83 ¦ 12 ¦ 14 ¦ 109 ¦ XOshiro ¦ ¦ 73 ¦ 13 ¦ 20 ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 405 ¦ 81 ¦ 102 ¦ 588 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 39.2 sknuth_Run test: AHS-1 ¦ ¦ 94 ¦ 8 ¦ 12 ¦ 114 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 96 ¦ 12 ¦ 11 ¦ 119 ¦ pv 63 N = 10, n = 1000000000, r = 15, Up = TRUE AHS-3 ¦ ¦ 106 ¦ 13 ¦ 16 ¦ 135 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 80 ¦ 12 ¦ 8 ¦ 100 ¦ XOshiro ¦ ¦ 104 ¦ 7 ¦ 15 ¦ 126 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 480 ¦ 52 ¦ 62 ¦ 594 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 39.3 sknuth_Run test: AHS-1 ¦ ¦ 49 ¦ 10 ¦ 37 ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 56 ¦ 16 ¦ 33 ¦ 105 ¦ pv 64 N = 10, n = 1000000000, r = 15, Up = TRUE AHS-3 ¦ ¦ 43 ¦ 18 ¦ 30 ¦ 91 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 42 ¦ 14 ¦ 29 ¦ 85 ¦ XOshiro ¦ ¦ 42 ¦ 16 ¦ 29 ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 232 ¦ 74 ¦ 158 ¦ 464 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 39.4 sknuth_Run test: AHS-1 ¦ 143 ¦ ¦ ¦ ¦ 143 ¦ ----------------------------------------------- AHS-2 ¦ 140 ¦ ¦ ¦ ¦ 140 ¦ pv 65 N = 10, n = 1000000000, r = 15, Up = TRUE AHS-3 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ Test on the sum of all N observations MT19937 ¦ 120 ¦ ¦ ¦ ¦ 120 ¦ Number of degrees of freedom : 60 XOshiro ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 636 ¦ ¦ ¦ ¦ 636 ¦ =================================================================================================================================== 40.0 Test sknuth_Permutation calling smultin_Multinomial AHS-1 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ smultin_Multinomial test: AHS-2 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ pv 66 ----------------------------------------------- AHS-3 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ N = 1, n = 1000000000, r = 5, t = 3, MT19937 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Sparse = FALSE XOshiro ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 493 ¦ ¦ ¦ ¦ 493 ¦ =================================================================================================================================== 41.0 Test sknuth_Permutation calling smultin_Multinomial AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ smultin_Multinomial test: AHS-2 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ pv 67 ----------------------------------------------- AHS-3 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ N = 1, n = 1000000000, r = 5, t = 5, MT19937 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ Sparse = FALSE XOshiro ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 472 ¦ ¦ ¦ ¦ 472 ¦ =================================================================================================================================== 42.0 Test sknuth_Permutation calling smultin_Multinomial AHS-1 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ smultin_Multinomial test: AHS-2 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ pv 68 ----------------------------------------------- AHS-3 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ N = 1, n = 500000000, r = 5, t = 7, MT19937 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ Sparse = FALSE XOshiro ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 505 ¦ ¦ ¦ ¦ 505 ¦ =================================================================================================================================== 43.0 Test sknuth_Permutation calling smultin_Multinomial AHS-1 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ smultin_Multinomial test: AHS-2 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ pv 69 ----------------------------------------------- AHS-3 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ N = 1, n = 500000000, r = 10, t = 10, MT19937 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Sparse = FALSE XOshiro ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 520 ¦ ¦ ¦ ¦ 520 ¦ =================================================================================================================================== 44.0 Test sknuth_CollisionPermut calling smultin_Multinomial AHS-1 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ smultin_Multinomial test: AHS-2 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ pv 70 ----------------------------------------------- AHS-3 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ N = 20, n = 20000000, r = 0, t = 14, MT19937 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ Sparse = TRUE XOshiro ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 460 ¦ ¦ ¦ ¦ 460 ¦ =================================================================================================================================== 45.0 Test sknuth_CollisionPermut calling smultin_Multinomial AHS-1 ¦ 72 ¦ ¦ ¦ ¦ 72 ¦ smultin_Multinomial test: AHS-2 ¦ 81 ¦ ¦ ¦ ¦ 81 ¦ pv 71 ----------------------------------------------- AHS-3 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ N = 20, n = 20000000, r = 10, t = 14, MT19937 ¦ 82 ¦ ¦ ¦ ¦ 82 ¦ Sparse = TRUE XOshiro ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 450 ¦ ¦ ¦ ¦ 450 ¦ =================================================================================================================================== 46.1 sknuth_MaxOft test: AHS-1 ¦ ¦ 90 ¦ 6 ¦ 19 ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 87 ¦ 8 ¦ 12 ¦ 107 ¦ pv 72 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ ¦ 81 ¦ 10 ¦ 11 ¦ 102 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 74 ¦ 6 ¦ 7 ¦ 87 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 74 ¦ 9 ¦ 9 ¦ 92 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 406 ¦ 39 ¦ 58 ¦ 503 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 46.2 sknuth_MaxOft test: AHS-1 ¦ ¦ 74 ¦ 7 ¦ 13 ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 59 ¦ 6 ¦ 11 ¦ 76 ¦ pv 73 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ ¦ 85 ¦ 15 ¦ 15 ¦ 115 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 90 ¦ 13 ¦ 11 ¦ 114 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 81 ¦ 9 ¦ 15 ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 389 ¦ 50 ¦ 65 ¦ 504 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 46.3 sknuth_MaxOft test: AHS-1 ¦ ¦ 45 ¦ 5 ¦ 36 ¦ 86 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 39 ¦ 5 ¦ 39 ¦ 83 ¦ pv 74 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ ¦ 58 ¦ 7 ¦ 40 ¦ 105 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 48 ¦ 10 ¦ 24 ¦ 82 ¦ Anderson-Darling statistic = A2 XOshiro ¦ ¦ 63 ¦ 7 ¦ 34 ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 253 ¦ 34 ¦ 173 ¦ 460 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 46.4 sknuth_MaxOft test: AHS-1 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ ----------------------------------------------- AHS-2 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ pv 75 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ Test on the sum of all N observations XOshiro ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 495 ¦ ¦ ¦ ¦ 495 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 46.5 sknuth_MaxOft test: AHS-1 ¦ ¦ 78 ¦ 15 ¦ 7 ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 92 ¦ 6 ¦ 7 ¦ 105 ¦ pv 76 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ ¦ 69 ¦ 9 ¦ 7 ¦ 85 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 79 ¦ 6 ¦ 5 ¦ 90 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 88 ¦ 11 ¦ 6 ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 406 ¦ 47 ¦ 32 ¦ 485 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 46.6 sknuth_MaxOft test: AHS-1 ¦ ¦ 74 ¦ 13 ¦ 12 ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 90 ¦ 10 ¦ 4 ¦ 104 ¦ pv 77 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ ¦ 60 ¦ 7 ¦ 3 ¦ 70 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 71 ¦ 13 ¦ 8 ¦ 92 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 89 ¦ 15 ¦ 6 ¦ 110 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 384 ¦ 58 ¦ 33 ¦ 475 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 46.7 sknuth_MaxOft test: AHS-1 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ pv 78 N = 40, n = 10000000, r = 0, d = 100000, t = 8 AHS-3 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ Test results for Anderson-Darling: MT19937 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Anderson-Darling statistic = A2 XOshiro ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 493 ¦ ¦ ¦ ¦ 493 ¦ =================================================================================================================================== 47.1 sknuth_MaxOft test: AHS-1 ¦ ¦ 85 ¦ 10 ¦ 9 ¦ 104 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 74 ¦ 13 ¦ 14 ¦ 101 ¦ pv 79 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ ¦ 71 ¦ 7 ¦ 16 ¦ 94 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 78 ¦ 7 ¦ 9 ¦ 94 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 76 ¦ 8 ¦ 12 ¦ 96 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 384 ¦ 45 ¦ 60 ¦ 489 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 47.2 sknuth_MaxOft test: AHS-1 ¦ ¦ 95 ¦ 9 ¦ 16 ¦ 120 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 72 ¦ 11 ¦ 15 ¦ 98 ¦ pv 80 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ ¦ 104 ¦ 10 ¦ 12 ¦ 126 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 66 ¦ 10 ¦ 9 ¦ 85 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 86 ¦ 7 ¦ 8 ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 423 ¦ 47 ¦ 60 ¦ 530 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 47.3 sknuth_MaxOft test: AHS-1 ¦ ¦ 46 ¦ 6 ¦ 35 ¦ 87 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 50 ¦ 9 ¦ 48 ¦ 107 ¦ pv 81 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ ¦ 59 ¦ 7 ¦ 42 ¦ 108 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 54 ¦ 8 ¦ 28 ¦ 90 ¦ Anderson-Darling statistic = A2 XOshiro ¦ ¦ 51 ¦ 5 ¦ 27 ¦ 83 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 260 ¦ 35 ¦ 180 ¦ 475 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 47.4 sknuth_MaxOft test: AHS-1 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ pv 82 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ Test on the sum of all N observations MT19937 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Number of degrees of freedom : 2999970 XOshiro ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 513 ¦ ¦ ¦ ¦ 513 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 47.5 sknuth_MaxOft test: AHS-1 ¦ ¦ 80 ¦ 8 ¦ 6 ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 83 ¦ 9 ¦ 2 ¦ 94 ¦ pv 83 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ ¦ 60 ¦ 13 ¦ 4 ¦ 77 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 77 ¦ 10 ¦ 8 ¦ 95 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 87 ¦ 11 ¦ 9 ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 387 ¦ 51 ¦ 29 ¦ 467 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 47.6 sknuth_MaxOft test: AHS-1 ¦ ¦ 90 ¦ 10 ¦ 6 ¦ 106 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 86 ¦ 12 ¦ 5 ¦ 103 ¦ pv 84 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ ¦ 80 ¦ 9 ¦ 3 ¦ 92 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 84 ¦ 13 ¦ 5 ¦ 102 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 89 ¦ 14 ¦ 4 ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 429 ¦ 58 ¦ 23 ¦ 510 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 47.7 sknuth_MaxOft test: AHS-1 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 85 N = 30, n = 10000000, r = 0, d = 100000, t = 16 AHS-3 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ Test results for Anderson-Darling: MT19937 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ Anderson-Darling statistic = A2 XOshiro ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 482 ¦ ¦ ¦ ¦ 482 ¦ =================================================================================================================================== 48.1 sknuth_MaxOft test: AHS-1 ¦ ¦ 86 ¦ 13 ¦ 13 ¦ 112 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 79 ¦ 10 ¦ 9 ¦ 98 ¦ pv 86 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ ¦ 67 ¦ 6 ¦ 13 ¦ 86 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 73 ¦ 10 ¦ 13 ¦ 96 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 84 ¦ 12 ¦ 11 ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 389 ¦ 51 ¦ 59 ¦ 499 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 48.2 sknuth_MaxOft test: AHS-1 ¦ ¦ 79 ¦ 9 ¦ 9 ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 65 ¦ 13 ¦ 8 ¦ 86 ¦ pv 87 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ ¦ 62 ¦ 9 ¦ 18 ¦ 89 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 87 ¦ 10 ¦ 13 ¦ 110 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 73 ¦ 13 ¦ 5 ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 366 ¦ 54 ¦ 53 ¦ 473 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 48.3 sknuth_MaxOft test: AHS-1 ¦ ¦ 58 ¦ 6 ¦ 37 ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 68 ¦ 11 ¦ 30 ¦ 109 ¦ pv 88 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ ¦ 47 ¦ 7 ¦ 35 ¦ 89 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 56 ¦ 11 ¦ 36 ¦ 103 ¦ Anderson-Darling statistic = A2 XOshiro ¦ ¦ 51 ¦ 11 ¦ 36 ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 280 ¦ 46 ¦ 174 ¦ 500 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 48.4 sknuth_MaxOft test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ pv 89 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Test on the sum of all N observations XOshiro ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 488 ¦ ¦ ¦ ¦ 488 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 48.5 sknuth_MaxOft test: AHS-1 ¦ ¦ 72 ¦ 13 ¦ 9 ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 89 ¦ 13 ¦ 8 ¦ 110 ¦ pv 90 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ ¦ 91 ¦ 10 ¦ 6 ¦ 107 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 70 ¦ 5 ¦ 8 ¦ 83 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 77 ¦ 11 ¦ 11 ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 399 ¦ 52 ¦ 42 ¦ 493 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 48.6 sknuth_MaxOft test: AHS-1 ¦ ¦ 87 ¦ 12 ¦ 7 ¦ 106 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 71 ¦ 10 ¦ 8 ¦ 89 ¦ pv 91 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ ¦ 88 ¦ 8 ¦ 7 ¦ 103 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 68 ¦ 11 ¦ 10 ¦ 89 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 90 ¦ 15 ¦ 5 ¦ 110 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 404 ¦ 56 ¦ 37 ¦ 497 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 48.7 sknuth_MaxOft test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 82 ¦ ¦ ¦ ¦ 82 ¦ pv 92 N = 20, n = 10000000, r = 0, d = 100000, t = 24 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Test results for Anderson-Darling: MT19937 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ Anderson-Darling statistic = A2 XOshiro ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 463 ¦ ¦ ¦ ¦ 463 ¦ =================================================================================================================================== 49.1 sknuth_MaxOft test: AHS-1 ¦ ¦ 90 ¦ 10 ¦ 9 ¦ 109 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 72 ¦ 14 ¦ 14 ¦ 100 ¦ pv 93 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ ¦ 74 ¦ 16 ¦ 4 ¦ 94 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 94 ¦ 9 ¦ 19 ¦ 122 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 87 ¦ 7 ¦ 6 ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 417 ¦ 56 ¦ 52 ¦ 525 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 49.2 sknuth_MaxOft test: AHS-1 ¦ ¦ 99 ¦ 9 ¦ 16 ¦ 124 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 73 ¦ 15 ¦ 10 ¦ 98 ¦ pv 94 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ ¦ 70 ¦ 8 ¦ 6 ¦ 84 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 80 ¦ 12 ¦ 12 ¦ 104 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 87 ¦ 8 ¦ 15 ¦ 110 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 409 ¦ 52 ¦ 59 ¦ 520 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 49.3 sknuth_MaxOft test: AHS-1 ¦ ¦ 48 ¦ 7 ¦ 36 ¦ 91 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 63 ¦ 15 ¦ 31 ¦ 109 ¦ pv 95 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ ¦ 44 ¦ 7 ¦ 37 ¦ 88 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ ¦ 43 ¦ 9 ¦ 39 ¦ 91 ¦ Anderson-Darling statistic = A2 XOshiro ¦ ¦ 58 ¦ 7 ¦ 39 ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 256 ¦ 45 ¦ 182 ¦ 483 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 49.4 sknuth_MaxOft test: AHS-1 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ----------------------------------------------- AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 96 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ Test results for chi2 with 99999 degrees of freedom: MT19937 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ Test on the sum of all N observations XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 486 ¦ ¦ ¦ ¦ 486 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 49.5 sknuth_MaxOft test: AHS-1 ¦ ¦ 86 ¦ 12 ¦ 9 ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 83 ¦ 9 ¦ 8 ¦ 100 ¦ pv 97 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ ¦ 84 ¦ 18 ¦ 13 ¦ 115 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 77 ¦ 5 ¦ 12 ¦ 94 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 88 ¦ 11 ¦ 2 ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 418 ¦ 55 ¦ 44 ¦ 517 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 49.6 sknuth_MaxOft test: AHS-1 ¦ ¦ 89 ¦ 11 ¦ 8 ¦ 108 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 84 ¦ 11 ¦ 6 ¦ 101 ¦ pv 98 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ ¦ 89 ¦ 8 ¦ 9 ¦ 106 ¦ Test results for Anderson-Darling: MT19937 ¦ ¦ 73 ¦ 11 ¦ 6 ¦ 90 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 77 ¦ 12 ¦ 6 ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 412 ¦ 53 ¦ 35 ¦ 500 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 49.7 sknuth_MaxOft test: AHS-1 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ----------------------------------------------- AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 99 N = 20, n = 10000000, r = 0, d = 100000, t = 32 AHS-3 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ Test results for Anderson-Darling: MT19937 ¦ 83 ¦ ¦ ¦ ¦ 83 ¦ Anderson-Darling statistic = A2 XOshiro ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 482 ¦ ¦ ¦ ¦ 482 ¦ =================================================================================================================================== 50.1 svaria_SampleProd test: AHS-1 ¦ ¦ 75 ¦ 12 ¦ 5 ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 85 ¦ 10 ¦ 8 ¦ 103 ¦ pv 100 N = 40, n = 10000000, r = 0, t = 8 AHS-3 ¦ ¦ 101 ¦ 9 ¦ 6 ¦ 116 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 78 ¦ 9 ¦ 8 ¦ 95 ¦ XOshiro ¦ ¦ 59 ¦ 7 ¦ 8 ¦ 74 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 398 ¦ 47 ¦ 35 ¦ 480 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 50.2 svaria_SampleProd test: AHS-1 ¦ ¦ 76 ¦ 10 ¦ 4 ¦ 90 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 79 ¦ 10 ¦ 7 ¦ 96 ¦ pv 101 N = 40, n = 10000000, r = 0, t = 8 AHS-3 ¦ ¦ 71 ¦ 16 ¦ 3 ¦ 90 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 91 ¦ 10 ¦ 4 ¦ 105 ¦ XOshiro ¦ ¦ 86 ¦ 11 ¦ 5 ¦ 102 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 403 ¦ 57 ¦ 23 ¦ 483 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 50.3 svaria_SampleProd test: AHS-1 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 102 N = 40, n = 10000000, r = 0, t = 8 AHS-3 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ XOshiro ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 472 ¦ ¦ ¦ ¦ 472 ¦ =================================================================================================================================== 51.1 svaria_SampleProd test: AHS-1 ¦ ¦ 77 ¦ 7 ¦ 6 ¦ 90 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 100 ¦ 11 ¦ 4 ¦ 115 ¦ pv 103 N = 20, n = 10000000, r = 0, t = 16 AHS-3 ¦ ¦ 69 ¦ 14 ¦ 5 ¦ 88 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 78 ¦ 12 ¦ 9 ¦ 99 ¦ XOshiro ¦ ¦ 83 ¦ 10 ¦ 2 ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 407 ¦ 54 ¦ 26 ¦ 487 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 51.2 svaria_SampleProd test: AHS-1 ¦ ¦ 87 ¦ 12 ¦ 6 ¦ 105 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 79 ¦ 12 ¦ 12 ¦ 103 ¦ pv 104 N = 20, n = 10000000, r = 0, t = 16 AHS-3 ¦ ¦ 84 ¦ 11 ¦ 14 ¦ 109 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 72 ¦ 9 ¦ 6 ¦ 87 ¦ XOshiro ¦ ¦ 89 ¦ 13 ¦ 2 ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 411 ¦ 57 ¦ 40 ¦ 508 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 51.3 svaria_SampleProd test: AHS-1 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ ----------------------------------------------- AHS-2 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ pv 105 N = 20, n = 10000000, r = 0, t = 16 AHS-3 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ XOshiro ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 484 ¦ ¦ ¦ ¦ 484 ¦ =================================================================================================================================== 52.1 svaria_SampleProd test: AHS-1 ¦ ¦ 68 ¦ 15 ¦ 8 ¦ 91 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 84 ¦ 11 ¦ 7 ¦ 102 ¦ pv 106 N = 20, n = 10000000, r = 0, t = 24 AHS-3 ¦ ¦ 82 ¦ 8 ¦ 5 ¦ 95 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 84 ¦ 13 ¦ 11 ¦ 108 ¦ XOshiro ¦ ¦ 72 ¦ 9 ¦ 7 ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 390 ¦ 56 ¦ 38 ¦ 484 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 52.2 svaria_SampleProd test: AHS-1 ¦ ¦ 78 ¦ 9 ¦ 4 ¦ 91 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 77 ¦ 6 ¦ 4 ¦ 87 ¦ pv 107 N = 20, n = 10000000, r = 0, t = 24 AHS-3 ¦ ¦ 89 ¦ 8 ¦ 6 ¦ 103 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 79 ¦ 18 ¦ 5 ¦ 102 ¦ XOshiro ¦ ¦ 99 ¦ 13 ¦ 3 ¦ 115 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 422 ¦ 54 ¦ 22 ¦ 498 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 52.3 svaria_SampleProd test: AHS-1 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ ----------------------------------------------- AHS-2 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ pv 108 N = 20, n = 10000000, r = 0, t = 24 AHS-3 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 122 ¦ ¦ ¦ ¦ 122 ¦ XOshiro ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 475 ¦ ¦ ¦ ¦ 475 ¦ =================================================================================================================================== 53.1 svaria_SampleMean test: AHS-1 ¦ ¦ 84 ¦ 19 ¦ 12 ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 83 ¦ 9 ¦ 9 ¦ 101 ¦ pv 109 N = 20000000, n = 30, r = 0 AHS-3 ¦ ¦ 81 ¦ 9 ¦ 8 ¦ 98 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 69 ¦ 6 ¦ 9 ¦ 84 ¦ XOshiro ¦ ¦ 72 ¦ 11 ¦ 10 ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 389 ¦ 54 ¦ 48 ¦ 491 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 53.2 svaria_SampleMean test: AHS-1 ¦ ¦ 85 ¦ 8 ¦ 6 ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 74 ¦ 13 ¦ 10 ¦ 97 ¦ pv 110 N = 20000000, n = 30, r = 0 AHS-3 ¦ ¦ 79 ¦ 11 ¦ 6 ¦ 96 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 73 ¦ 12 ¦ 10 ¦ 95 ¦ XOshiro ¦ ¦ 75 ¦ 8 ¦ 10 ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 386 ¦ 52 ¦ 42 ¦ 480 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 53.3 svaria_SampleMean test: AHS-1 ¦ 121 ¦ ¦ ¦ ¦ 121 ¦ ----------------------------------------------- AHS-2 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ pv 111 N = 20000000, n = 30, r = 0 AHS-3 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 550 ¦ ¦ ¦ ¦ 550 ¦ =================================================================================================================================== 54.1 svaria_SampleMean test: AHS-1 ¦ ¦ 75 ¦ 21 ¦ 8 ¦ 104 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 89 ¦ 10 ¦ 6 ¦ 105 ¦ pv 112 N = 20000000, n = 30, r = 10 AHS-3 ¦ ¦ 88 ¦ 12 ¦ 5 ¦ 105 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 78 ¦ 14 ¦ 3 ¦ 95 ¦ XOshiro ¦ ¦ 80 ¦ 13 ¦ 7 ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 410 ¦ 70 ¦ 29 ¦ 509 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 54.2 svaria_SampleMean test: AHS-1 ¦ ¦ 81 ¦ 8 ¦ 7 ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 79 ¦ 10 ¦ 4 ¦ 93 ¦ pv 113 N = 20000000, n = 30, r = 10 AHS-3 ¦ ¦ 91 ¦ 7 ¦ 6 ¦ 104 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 81 ¦ 11 ¦ 7 ¦ 99 ¦ XOshiro ¦ ¦ 92 ¦ 11 ¦ 3 ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 424 ¦ 47 ¦ 27 ¦ 498 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 54.3 svaria_SampleMean test: AHS-1 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ ----------------------------------------------- AHS-2 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ pv 114 N = 20000000, n = 30, r = 10 AHS-3 ¦ 77 ¦ ¦ ¦ ¦ 77 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ XOshiro ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 489 ¦ ¦ ¦ ¦ 489 ¦ =================================================================================================================================== 55.0 svaria_SampleCorr test: AHS-1 ¦ 166 ¦ ¦ ¦ ¦ 166 ¦ ----------------------------------------------- AHS-2 ¦ 148 ¦ ¦ ¦ ¦ 148 ¦ pv 115 N = 1, n = 2000000000, r = 0, k = 1 AHS-3 ¦ 154 ¦ ¦ ¦ ¦ 154 ¦ Normal statistic MT19937 ¦ 153 ¦ ¦ ¦ ¦ 153 ¦ XOshiro ¦ 158 ¦ ¦ ¦ ¦ 158 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 779 ¦ ¦ ¦ ¦ 779 ¦ =================================================================================================================================== 56.0 svaria_SampleCorr test: AHS-1 ¦ 144 ¦ ¦ ¦ ¦ 144 ¦ ----------------------------------------------- AHS-2 ¦ 164 ¦ ¦ ¦ ¦ 164 ¦ pv 116 N = 1, n = 2000000000, r = 0, k = 2 AHS-3 ¦ 151 ¦ ¦ ¦ ¦ 151 ¦ Normal statistic MT19937 ¦ 139 ¦ ¦ ¦ ¦ 139 ¦ XOshiro ¦ 137 ¦ ¦ ¦ ¦ 137 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 735 ¦ ¦ ¦ ¦ 735 ¦ =================================================================================================================================== 57.0 svaria_AppearanceSpacings test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ pv 117 N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15 AHS-3 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ Normal statistic MT19937 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ XOshiro ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 464 ¦ ¦ ¦ ¦ 464 ¦ =================================================================================================================================== 58.0 svaria_AppearanceSpacings test: AHS-1 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ----------------------------------------------- AHS-2 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ pv 118 N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 AHS-3 ¦ 82 ¦ ¦ ¦ ¦ 82 ¦ Normal statistic MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ XOshiro ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 476 ¦ ¦ ¦ ¦ 476 ¦ =================================================================================================================================== 59.0 svaria_WeightDistrib test: AHS-1 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 119 N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ MT19937 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ XOshiro ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 495 ¦ ¦ ¦ ¦ 495 ¦ =================================================================================================================================== 60.0 svaria_WeightDistrib test: AHS-1 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ----------------------------------------------- AHS-2 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ pv 120 N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25 AHS-3 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ MT19937 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 540 ¦ ¦ ¦ ¦ 540 ¦ =================================================================================================================================== 61.0 svaria_WeightDistrib test: AHS-1 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ----------------------------------------------- AHS-2 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ pv 121 N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 AHS-3 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ MT19937 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ XOshiro ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 489 ¦ ¦ ¦ ¦ 489 ¦ =================================================================================================================================== 62.0 svaria_WeightDistrib test: AHS-1 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 122 N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625 AHS-3 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ MT19937 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ XOshiro ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 533 ¦ ¦ ¦ ¦ 533 ¦ =================================================================================================================================== 63.0 svaria_WeightDistrib test: AHS-1 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ----------------------------------------------- AHS-2 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ pv 123 N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625 AHS-3 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ MT19937 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ XOshiro ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 496 ¦ ¦ ¦ ¦ 496 ¦ =================================================================================================================================== 64.0 svaria_WeightDistrib test: AHS-1 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ pv 124 N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625 AHS-3 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ MT19937 ¦ 121 ¦ ¦ ¦ ¦ 121 ¦ XOshiro ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 529 ¦ ¦ ¦ ¦ 529 ¦ =================================================================================================================================== 65.0 svaria_SumCollector test: AHS-1 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ ----------------------------------------------- AHS-2 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ pv 125 N = 1, n = 500000000, r = 0, g = 10 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ MT19937 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ XOshiro ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 537 ¦ ¦ ¦ ¦ 537 ¦ =================================================================================================================================== 66.1 smarsa_MatrixRank test: AHS-1 ¦ ¦ 62 ¦ 15 ¦ 15 ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 66 ¦ 13 ¦ 14 ¦ 93 ¦ pv 126 N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 AHS-3 ¦ ¦ 66 ¦ 18 ¦ 18 ¦ 102 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 71 ¦ 22 ¦ 20 ¦ 113 ¦ XOshiro ¦ ¦ 63 ¦ 16 ¦ 15 ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 328 ¦ 84 ¦ 82 ¦ 494 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 66.2 smarsa_MatrixRank test: AHS-1 ¦ ¦ 79 ¦ 7 ¦ 5 ¦ 91 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 102 ¦ 5 ¦ 8 ¦ 115 ¦ pv 127 N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 AHS-3 ¦ ¦ 81 ¦ 6 ¦ 5 ¦ 92 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 93 ¦ 4 ¦ 2 ¦ 99 ¦ XOshiro ¦ ¦ 95 ¦ 5 ¦ 6 ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 450 ¦ 27 ¦ 26 ¦ 503 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 66.3 smarsa_MatrixRank test: AHS-1 ¦ ¦ 47 ¦ 9 ¦ 27 ¦ 83 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 50 ¦ 13 ¦ 25 ¦ 88 ¦ pv 128 N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 AHS-3 ¦ ¦ 37 ¦ 8 ¦ 29 ¦ 74 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 56 ¦ 5 ¦ 21 ¦ 82 ¦ XOshiro ¦ ¦ 43 ¦ 5 ¦ 24 ¦ 72 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 233 ¦ 40 ¦ 126 ¦ 399 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 66.4 smarsa_MatrixRank test: AHS-1 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 129 N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 AHS-3 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ Test on the sum of all N observations MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 497 ¦ ¦ ¦ ¦ 497 ¦ =================================================================================================================================== 67.1 smarsa_MatrixRank test: AHS-1 ¦ ¦ 59 ¦ 18 ¦ 22 ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 72 ¦ 12 ¦ 17 ¦ 101 ¦ pv 130 N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 AHS-3 ¦ ¦ 84 ¦ 12 ¦ 14 ¦ 110 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 69 ¦ 19 ¦ 12 ¦ 100 ¦ XOshiro ¦ ¦ 69 ¦ 20 ¦ 20 ¦ 109 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 353 ¦ 81 ¦ 85 ¦ 519 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 67.2 smarsa_MatrixRank test: AHS-1 ¦ ¦ 107 ¦ 3 ¦ 6 ¦ 116 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 88 ¦ 7 ¦ 10 ¦ 105 ¦ pv 131 N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 AHS-3 ¦ ¦ 83 ¦ 6 ¦ 5 ¦ 94 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 81 ¦ 9 ¦ 3 ¦ 93 ¦ XOshiro ¦ ¦ 89 ¦ 5 ¦ 7 ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 448 ¦ 30 ¦ 31 ¦ 509 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 67.3 smarsa_MatrixRank test: AHS-1 ¦ ¦ 52 ¦ 9 ¦ 27 ¦ 88 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 55 ¦ 7 ¦ 19 ¦ 81 ¦ pv 132 N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 AHS-3 ¦ ¦ 43 ¦ 7 ¦ 21 ¦ 71 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 56 ¦ 15 ¦ 13 ¦ 84 ¦ XOshiro ¦ ¦ 56 ¦ 12 ¦ 19 ¦ 87 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 262 ¦ 50 ¦ 99 ¦ 411 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 67.4 smarsa_MatrixRank test: AHS-1 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ----------------------------------------------- AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 133 N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 AHS-3 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ Test on the sum of all N observations MT19937 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ XOshiro ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 493 ¦ ¦ ¦ ¦ 493 ¦ =================================================================================================================================== 68.0 smarsa_MatrixRank test: AHS-1 ¦ 117 ¦ ¦ ¦ ¦ 117 ¦ ----------------------------------------------- AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 134 N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 AHS-3 ¦ 129 ¦ ¦ ¦ ¦ 129 ¦ MT19937 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ XOshiro ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 570 ¦ ¦ ¦ ¦ 570 ¦ =================================================================================================================================== 69.0 smarsa_MatrixRank test: AHS-1 ¦ 139 ¦ ¦ ¦ ¦ 139 ¦ ----------------------------------------------- AHS-2 ¦ 123 ¦ ¦ ¦ ¦ 123 ¦ pv 135 N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 AHS-3 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 560 ¦ ¦ ¦ ¦ 560 ¦ =================================================================================================================================== 70.0 smarsa_MatrixRank test: AHS-1 ¦ 57 ¦ ¦ ¦ ¦ 57 ¦ ----------------------------------------------- AHS-2 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ pv 136 N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 AHS-3 ¦ 62 ¦ ¦ ¦ ¦ 62 ¦ MT19937 ¦ 59 ¦ ¦ ¦ ¦ 59 ¦ XOshiro ¦ 65 ¦ ¦ ¦ ¦ 65 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 328 ¦ ¦ ¦ ¦ 328 ¦ =================================================================================================================================== 71.0 smarsa_MatrixRank test: AHS-1 ¦ 60 ¦ ¦ ¦ ¦ 60 ¦ ----------------------------------------------- AHS-2 ¦ 50 ¦ ¦ ¦ ¦ 50 ¦ pv 137 N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 AHS-3 ¦ 46 ¦ ¦ ¦ ¦ 46 ¦ MT19937 ¦ 52 ¦ ¦ ¦ ¦ 52 ¦ XOshiro ¦ 60 ¦ ¦ ¦ ¦ 60 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 268 ¦ ¦ ¦ ¦ 268 ¦ =================================================================================================================================== 72.1 smarsa_Savir2 test: AHS-1 ¦ ¦ 92 ¦ 28 ¦ 11 ¦ 131 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 89 ¦ 14 ¦ 17 ¦ 120 ¦ pv 138 N = 10, n = 10000000, r = 10, m = 1048576, t = 30 AHS-3 ¦ ¦ 102 ¦ 18 ¦ 23 ¦ 143 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 88 ¦ 17 ¦ 17 ¦ 122 ¦ XOshiro ¦ ¦ 91 ¦ 10 ¦ 27 ¦ 128 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 462 ¦ 87 ¦ 95 ¦ 644 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 72.2 smarsa_Savir2 test: AHS-1 ¦ ¦ 77 ¦ 5 ¦ 7 ¦ 89 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 81 ¦ 10 ¦ 12 ¦ 103 ¦ pv 139 N = 10, n = 10000000, r = 10, m = 1048576, t = 30 AHS-3 ¦ ¦ 101 ¦ 7 ¦ 12 ¦ 120 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 66 ¦ 5 ¦ 8 ¦ 79 ¦ XOshiro ¦ ¦ 82 ¦ 10 ¦ 11 ¦ 103 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 407 ¦ 37 ¦ 50 ¦ 494 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 72.3 smarsa_Savir2 test: AHS-1 ¦ ¦ 33 ¦ 11 ¦ 33 ¦ 77 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 39 ¦ 11 ¦ 41 ¦ 91 ¦ pv 140 N = 10, n = 10000000, r = 10, m = 1048576, t = 30 AHS-3 ¦ ¦ 46 ¦ 7 ¦ 37 ¦ 90 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 38 ¦ 11 ¦ 27 ¦ 76 ¦ XOshiro ¦ ¦ 33 ¦ 7 ¦ 40 ¦ 80 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 189 ¦ 47 ¦ 178 ¦ 414 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 72.4 smarsa_Savir2 test: AHS-1 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ pv 141 N = 10, n = 10000000, r = 10, m = 1048576, t = 30 AHS-3 ¦ 122 ¦ ¦ ¦ ¦ 122 ¦ Test on the sum of all N observations MT19937 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ XOshiro ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 561 ¦ ¦ ¦ ¦ 561 ¦ =================================================================================================================================== 73.1 smarsa_GCD test: AHS-1 ¦ ¦ 95 ¦ 13 ¦ 20 ¦ 128 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 86 ¦ 13 ¦ 14 ¦ 113 ¦ pv 142 N = 10, n = 50000000, r = 0, s = 30 AHS-3 ¦ ¦ 76 ¦ 14 ¦ 10 ¦ 100 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 78 ¦ 15 ¦ 11 ¦ 104 ¦ XOshiro ¦ ¦ 94 ¦ 12 ¦ 9 ¦ 115 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 429 ¦ 67 ¦ 64 ¦ 560 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 73.2 smarsa_GCD test: AHS-1 ¦ ¦ 98 ¦ 11 ¦ 15 ¦ 124 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 96 ¦ 8 ¦ 16 ¦ 120 ¦ pv 143 N = 10, n = 50000000, r = 0, s = 30 AHS-3 ¦ ¦ 102 ¦ 14 ¦ 12 ¦ 128 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 66 ¦ 9 ¦ 13 ¦ 88 ¦ XOshiro ¦ ¦ 90 ¦ 7 ¦ 11 ¦ 108 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 452 ¦ 49 ¦ 67 ¦ 568 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 73.3 smarsa_GCD test: AHS-1 ¦ ¦ 48 ¦ 7 ¦ 45 ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 39 ¦ 9 ¦ 44 ¦ 92 ¦ pv 144 N = 10, n = 50000000, r = 0, s = 30 AHS-3 ¦ ¦ 48 ¦ 15 ¦ 31 ¦ 94 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 39 ¦ 10 ¦ 44 ¦ 93 ¦ XOshiro ¦ ¦ 34 ¦ 12 ¦ 31 ¦ 77 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 208 ¦ 53 ¦ 195 ¦ 456 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 73.4 smarsa_GCD test: AHS-1 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ ----------------------------------------------- AHS-2 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ pv 145 N = 10, n = 50000000, r = 0, s = 30 AHS-3 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ Test on the sum of all N observations MT19937 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ XOshiro ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 549 ¦ ¦ ¦ ¦ 549 ¦ =================================================================================================================================== 74.1 swalk_RandomWalk1 test: AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ 120 ¦ ¦ ¦ ¦ 120 ¦ pv 146 N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ Test on the values of the Statistic H MT19937 ¦ 82 ¦ ¦ ¦ ¦ 82 ¦ XOshiro ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 494 ¦ ¦ ¦ ¦ 494 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 74.2 swalk_RandomWalk1 test: AHS-1 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ pv 147 N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ Test on the values of the Statistic M MT19937 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ XOshiro ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 499 ¦ ¦ ¦ ¦ 499 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 74.3 swalk_RandomWalk1 test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ pv 148 N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ Test on the values of the Statistic J MT19937 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 485 ¦ ¦ ¦ ¦ 485 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 74.4 swalk_RandomWalk1 test: AHS-1 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ pv 149 N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ Test on the values of the Statistic R MT19937 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ XOshiro ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 508 ¦ ¦ ¦ ¦ 508 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 74.5 swalk_RandomWalk1 test: AHS-1 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ ----------------------------------------------- AHS-2 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ pv 150 N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 81 ¦ ¦ ¦ ¦ 81 ¦ Test on the values of the Statistic C MT19937 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ XOshiro ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 452 ¦ ¦ ¦ ¦ 452 ¦ =================================================================================================================================== 75.1 swalk_RandomWalk1 test: AHS-1 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ pv 151 N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ Test on the values of the Statistic H MT19937 ¦ 133 ¦ ¦ ¦ ¦ 133 ¦ XOshiro ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 507 ¦ ¦ ¦ ¦ 507 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 75.2 swalk_RandomWalk1 test: AHS-1 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ ----------------------------------------------- AHS-2 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ pv 152 N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Test on the values of the Statistic M MT19937 ¦ 117 ¦ ¦ ¦ ¦ 117 ¦ XOshiro ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 533 ¦ ¦ ¦ ¦ 533 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 75.3 swalk_RandomWalk1 test: AHS-1 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ----------------------------------------------- AHS-2 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ pv 153 N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ Test on the values of the Statistic J MT19937 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ XOshiro ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 510 ¦ ¦ ¦ ¦ 510 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 75.4 swalk_RandomWalk1 test: AHS-1 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 154 N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ Test on the values of the Statistic R MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ XOshiro ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 488 ¦ ¦ ¦ ¦ 488 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 75.5 swalk_RandomWalk1 test: AHS-1 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ----------------------------------------------- AHS-2 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ pv 155 N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Test on the values of the Statistic C MT19937 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ XOshiro ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 515 ¦ ¦ ¦ ¦ 515 ¦ =================================================================================================================================== 76.1 swalk_RandomWalk1 test: AHS-1 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ----------------------------------------------- AHS-2 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ pv 156 N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ Test on the values of the Statistic H MT19937 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ XOshiro ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 505 ¦ ¦ ¦ ¦ 505 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 76.2 swalk_RandomWalk1 test: AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ pv 157 N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Test on the values of the Statistic M MT19937 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 500 ¦ ¦ ¦ ¦ 500 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 76.3 swalk_RandomWalk1 test: AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ pv 158 N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Test on the values of the Statistic J MT19937 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ XOshiro ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 518 ¦ ¦ ¦ ¦ 518 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 76.4 swalk_RandomWalk1 test: AHS-1 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 159 N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ Test on the values of the Statistic R MT19937 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ XOshiro ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 519 ¦ ¦ ¦ ¦ 519 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 76.5 swalk_RandomWalk1 test: AHS-1 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ pv 160 N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Test on the values of the Statistic C MT19937 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ XOshiro ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 511 ¦ ¦ ¦ ¦ 511 ¦ =================================================================================================================================== 77.1 swalk_RandomWalk1 test: AHS-1 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ pv 161 N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ Test on the values of the Statistic H MT19937 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ XOshiro ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 508 ¦ ¦ ¦ ¦ 508 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 77.2 swalk_RandomWalk1 test: AHS-1 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ pv 162 N = 1, n = 10000000, r = 20, s = 0, L0 = 1000, L1 = 1000 AHS-3 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ Test on the values of the Statistic M MT19937 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ XOshiro ¦ 79 ¦ ¦ ¦ ¦ 79 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 491 ¦ ¦ ¦ ¦ 491 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 77.3 swalk_RandomWalk1 test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ pv 163 N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ Test on the values of the Statistic J MT19937 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ XOshiro ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 456 ¦ ¦ ¦ ¦ 456 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 77.4 swalk_RandomWalk1 test: AHS-1 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ ----------------------------------------------- AHS-2 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ pv 164 N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Test on the values of the Statistic R MT19937 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ XOshiro ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 532 ¦ ¦ ¦ ¦ 532 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 77.5 swalk_RandomWalk1 test: AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ pv 165 N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 AHS-3 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Test on the values of the Statistic C MT19937 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ XOshiro ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 483 ¦ ¦ ¦ ¦ 483 ¦ =================================================================================================================================== 78.1 swalk_RandomWalk1 test: AHS-1 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ ----------------------------------------------- AHS-2 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ pv 166 N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ Test on the values of the Statistic H MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 551 ¦ ¦ ¦ ¦ 551 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 78.2 swalk_RandomWalk1 test: AHS-1 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ ----------------------------------------------- AHS-2 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ pv 167 N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ Test on the values of the Statistic M MT19937 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ XOshiro ¦ 121 ¦ ¦ ¦ ¦ 121 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 513 ¦ ¦ ¦ ¦ 513 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 78.3 swalk_RandomWalk1 test: AHS-1 ¦ 84 ¦ ¦ ¦ ¦ 84 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 168 N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Test on the values of the Statistic J MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 485 ¦ ¦ ¦ ¦ 485 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 78.4 swalk_RandomWalk1 test: AHS-1 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ pv 169 N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ Test on the values of the Statistic R MT19937 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ XOshiro ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 491 ¦ ¦ ¦ ¦ 491 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 78.5 swalk_RandomWalk1 test: AHS-1 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ pv 170 N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Test on the values of the Statistic C MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 130 ¦ ¦ ¦ ¦ 130 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 520 ¦ ¦ ¦ ¦ 520 ¦ =================================================================================================================================== 79.1 swalk_RandomWalk1 test: AHS-1 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 171 N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 117 ¦ ¦ ¦ ¦ 117 ¦ Test on the values of the Statistic H MT19937 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ XOshiro ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 532 ¦ ¦ ¦ ¦ 532 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 79.2 swalk_RandomWalk1 test: AHS-1 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ ----------------------------------------------- AHS-2 ¦ 117 ¦ ¦ ¦ ¦ 117 ¦ pv 172 N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ Test on the values of the Statistic M MT19937 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ XOshiro ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 544 ¦ ¦ ¦ ¦ 544 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 79.3 swalk_RandomWalk1 test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ pv 173 N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ Test on the values of the Statistic J MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ XOshiro ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 513 ¦ ¦ ¦ ¦ 513 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 79.4 swalk_RandomWalk1 test: AHS-1 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ----------------------------------------------- AHS-2 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ pv 174 N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ Test on the values of the Statistic R MT19937 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ XOshiro ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 538 ¦ ¦ ¦ ¦ 538 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 79.5 swalk_RandomWalk1 test: AHS-1 ¦ 110 ¦ ¦ ¦ ¦ 110 ¦ ----------------------------------------------- AHS-2 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ pv 175 N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 AHS-3 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ Test on the values of the Statistic C MT19937 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ XOshiro ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 537 ¦ ¦ ¦ ¦ 537 ¦ =================================================================================================================================== 80.1 scomp_LinearComp test: AHS-1 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ----------------------------------------------- AHS-2 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ pv 176 N = 1, n = 400020, r = 0, s = 1 AHS-3 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ Number of degrees of freedom : 12 MT19937 ¦ 163 ¦ ¦ ¦ ¦ 163 ¦ Chi2 statistic for size of jumps XOshiro ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 582 ¦ ¦ ¦ ¦ 582 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 80.2 scomp_LinearComp test: AHS-1 ¦ 114 ¦ ¦ ¦ ¦ 114 ¦ ----------------------------------------------- AHS-2 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ pv 177 N = 1, n = 400020, r = 0, s = 1 AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Normal statistic for number of jumps MT19937 ¦ ¦ ¦ ¦ ¦ ¦ XOshiro ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 403 ¦ ¦ ¦ ¦ 403 ¦ =================================================================================================================================== 81.1 scomp_LinearComp test: AHS-1 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ ----------------------------------------------- AHS-2 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ pv 178 N = 1, n = 400020, r = 29, s = 1 AHS-3 ¦ 112 ¦ ¦ ¦ ¦ 112 ¦ Number of degrees of freedom : 12 MT19937 ¦ 149 ¦ ¦ ¦ ¦ 149 ¦ Chi2 statistic for size of jumps XOshiro ¦ 82 ¦ ¦ ¦ ¦ 82 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 552 ¦ ¦ ¦ ¦ 552 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 81.2 scomp_LinearComp test: AHS-1 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ ----------------------------------------------- AHS-2 ¦ 120 ¦ ¦ ¦ ¦ 120 ¦ pv 179 N = 1, n = 400020, r = 29, s = 1 AHS-3 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ Normal statistic for number of jumps MT19937 ¦ ¦ ¦ ¦ ¦ ¦ XOshiro ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 450 ¦ ¦ ¦ ¦ 450 ¦ =================================================================================================================================== 82.1 scomp_LempelZiv test: AHS-1 ¦ ¦ 90 ¦ 13 ¦ 11 ¦ 114 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 74 ¦ 13 ¦ 12 ¦ 99 ¦ pv 180 N = 10, n = 134217728, r = 0, s = 30, k = 27 AHS-3 ¦ ¦ 77 ¦ 16 ¦ 13 ¦ 106 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 77 ¦ 12 ¦ 13 ¦ 102 ¦ XOshiro ¦ ¦ 89 ¦ 12 ¦ 12 ¦ 113 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 407 ¦ 66 ¦ 61 ¦ 534 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 82.2 scomp_LempelZiv test: AHS-1 ¦ ¦ 66 ¦ 9 ¦ 6 ¦ 81 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 98 ¦ 11 ¦ 5 ¦ 114 ¦ pv 181 N = 10, n = 134217728, r = 0, s = 30, k = 27 AHS-3 ¦ ¦ 63 ¦ 12 ¦ 12 ¦ 87 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 73 ¦ 13 ¦ 10 ¦ 96 ¦ XOshiro ¦ ¦ 70 ¦ 9 ¦ 10 ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 370 ¦ 54 ¦ 43 ¦ 467 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 82.3 scomp_LempelZiv test: AHS-1 ¦ ¦ 48 ¦ 9 ¦ 36 ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 38 ¦ 8 ¦ 37 ¦ 83 ¦ pv 182 N = 10, n = 134217728, r = 0, s = 30, k = 27 AHS-3 ¦ ¦ 45 ¦ 11 ¦ 33 ¦ 89 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 43 ¦ 8 ¦ 38 ¦ 89 ¦ XOshiro ¦ ¦ 44 ¦ 10 ¦ 44 ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 218 ¦ 46 ¦ 188 ¦ 452 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 82.4 scomp_LempelZiv test: AHS-1 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ pv 183 N = 10, n = 134217728, r = 0, s = 30, k = 27 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Tests on the sum of all N observations MT19937 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ XOshiro ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 534 ¦ ¦ ¦ ¦ 534 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 82.5 scomp_LempelZiv test: AHS-1 ¦ ¦ 89 ¦ ¦ ¦ 89 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 92 ¦ 1 ¦ ¦ 93 ¦ pv 184 N = 10, n = 134217728, r = 0, s = 30, k = 27 AHS-3 ¦ ¦ 111 ¦ 1 ¦ ¦ 112 ¦ Sample variance MT19937 ¦ ¦ 103 ¦ ¦ ¦ 103 ¦ XOshiro ¦ ¦ 106 ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 501 ¦ 2 ¦ ¦ 503 ¦ =================================================================================================================================== 83.1 scomp_LempelZiv test: AHS-1 ¦ ¦ 73 ¦ 13 ¦ 19 ¦ 105 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 77 ¦ 17 ¦ 13 ¦ 107 ¦ pv 185 N = 10, n = 134217728, r = 15, s = 15, k = 27 AHS-3 ¦ ¦ 68 ¦ 11 ¦ 14 ¦ 93 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 84 ¦ 14 ¦ 14 ¦ 112 ¦ XOshiro ¦ ¦ 73 ¦ 10 ¦ 9 ¦ 92 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 375 ¦ 65 ¦ 69 ¦ 509 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 83.2 scomp_LempelZiv test: AHS-1 ¦ ¦ 75 ¦ 15 ¦ 13 ¦ 103 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 100 ¦ 5 ¦ 9 ¦ 114 ¦ pv 186 N = 10, n = 134217728, r = 15, s = 15, k = 27 AHS-3 ¦ ¦ 92 ¦ 10 ¦ 10 ¦ 112 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 88 ¦ 6 ¦ 16 ¦ 110 ¦ XOshiro ¦ ¦ 87 ¦ 10 ¦ 14 ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 442 ¦ 46 ¦ 62 ¦ 550 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 83.3 scomp_LempelZiv test: AHS-1 ¦ ¦ 43 ¦ 14 ¦ 41 ¦ 98 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 41 ¦ 7 ¦ 39 ¦ 87 ¦ pv 187 N = 10, n = 134217728, r = 15, s = 15, k = 27 AHS-3 ¦ ¦ 45 ¦ 9 ¦ 33 ¦ 87 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 54 ¦ 8 ¦ 36 ¦ 98 ¦ XOshiro ¦ ¦ 38 ¦ 11 ¦ 36 ¦ 85 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 221 ¦ 49 ¦ 185 ¦ 455 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 83.4 scomp_LempelZiv test: AHS-1 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ pv 188 N = 10, n = 134217728, r = 15, s = 15, k = 27 AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Tests on the sum of all N observations MT19937 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ XOshiro ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 544 ¦ ¦ ¦ ¦ 544 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 83.5 scomp_LempelZiv test: AHS-1 ¦ ¦ 102 ¦ ¦ ¦ 102 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 98 ¦ ¦ ¦ 98 ¦ pv 189 N = 10, n = 134217728, r = 15, s = 15, k = 27 AHS-3 ¦ ¦ 93 ¦ ¦ ¦ 93 ¦ Sample variance MT19937 ¦ ¦ 90 ¦ ¦ ¦ 90 ¦ XOshiro ¦ ¦ 98 ¦ ¦ ¦ 98 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 481 ¦ ¦ ¦ 481 ¦ =================================================================================================================================== 84.1 sspectral_Fourier3 test: AHS-1 ¦ ¦ 11 ¦ ¦ ¦ 11 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 9 ¦ ¦ ¦ 9 ¦ pv 190 N = 100000, n = 16384, r = 0, s = 3, k = 14 AHS-3 ¦ ¦ 18 ¦ ¦ ¦ 18 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 15 ¦ ¦ ¦ 15 ¦ XOshiro ¦ ¦ 17 ¦ ¦ ¦ 17 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 70 ¦ ¦ ¦ 70 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 84.2 sspectral_Fourier3 test: AHS-1 ¦ ¦ 9 ¦ ¦ ¦ 9 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 6 ¦ ¦ ¦ 6 ¦ pv 191 N = 100000, n = 16384, r = 0, s = 3, k = 14 AHS-3 ¦ ¦ 4 ¦ 1 ¦ ¦ 5 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 5 ¦ 1 ¦ ¦ 6 ¦ XOshiro ¦ ¦ 3 ¦ ¦ ¦ 3 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 27 ¦ 2 ¦ ¦ 29 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 84.3 sspectral_Fourier3 test: AHS-1 ¦ 74 ¦ ¦ ¦ ¦ 74 ¦ ----------------------------------------------- AHS-2 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ pv 192 N = 100000, n = 16384, r = 0, s = 3, k = 14 AHS-3 ¦ 63 ¦ ¦ ¦ ¦ 63 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 57 ¦ ¦ ¦ ¦ 57 ¦ XOshiro ¦ 74 ¦ ¦ ¦ ¦ 74 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 357 ¦ ¦ ¦ ¦ 357 ¦ =================================================================================================================================== 85.1 sspectral_Fourier3 test: AHS-1 ¦ ¦ 10 ¦ ¦ ¦ 10 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 13 ¦ ¦ ¦ 13 ¦ pv 193 N = 100000, n = 16384, r = 27, s = 3, k = 14 AHS-3 ¦ ¦ 9 ¦ 1 ¦ ¦ 10 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 11 ¦ ¦ ¦ 11 ¦ XOshiro ¦ ¦ 10 ¦ 1 ¦ ¦ 11 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 53 ¦ 2 ¦ ¦ 55 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 85.2 sspectral_Fourier3 test: AHS-1 ¦ ¦ 9 ¦ ¦ ¦ 9 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 10 ¦ ¦ ¦ 10 ¦ pv 194 N = 100000, n = 16384, r = 27, s = 3, k = 14 AHS-3 ¦ ¦ 8 ¦ ¦ ¦ 8 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 4 ¦ ¦ ¦ 4 ¦ XOshiro ¦ ¦ 14 ¦ ¦ ¦ 14 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 45 ¦ ¦ ¦ 45 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 85.3 sspectral_Fourier3 test: AHS-1 ¦ 55 ¦ ¦ ¦ ¦ 55 ¦ ----------------------------------------------- AHS-2 ¦ 64 ¦ ¦ ¦ ¦ 64 ¦ pv 195 N = 100000, n = 16384, r = 27, s = 3, k = 14 AHS-3 ¦ 61 ¦ ¦ ¦ ¦ 61 ¦ Anderson-Darling statistic = A2 MT19937 ¦ 72 ¦ ¦ ¦ ¦ 72 ¦ XOshiro ¦ 78 ¦ ¦ ¦ ¦ 78 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 330 ¦ ¦ ¦ ¦ 330 ¦ =================================================================================================================================== 86.1 sstring_LongestHeadRun test: AHS-1 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ ----------------------------------------------- AHS-2 ¦ 121 ¦ ¦ ¦ ¦ 121 ¦ pv 196 N = 1, n = 1000, r = 0, s = 3, L = 10000020 AHS-3 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ Number of degrees of freedom : 8 MT19937 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ Chi-square statistic XOshiro ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 555 ¦ ¦ ¦ ¦ 555 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 86.2 sstring_LongestHeadRun test: AHS-1 ¦ 44 ¦ ¦ ¦ ¦ 44 ¦ ----------------------------------------------- AHS-2 ¦ 19 ¦ ¦ ¦ ¦ 19 ¦ pv 197 N = 1, n = 1000, r = 0, s = 3, L = 10000020 AHS-3 ¦ 32 ¦ ¦ ¦ ¦ 32 ¦ Global longest run of 1 MT19937 ¦ 32 ¦ ¦ ¦ ¦ 32 ¦ XOshiro ¦ 32 ¦ ¦ ¦ ¦ 32 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 159 ¦ ¦ ¦ ¦ 159 ¦ =================================================================================================================================== 87.1 sstring_LongestHeadRun test: AHS-1 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ ----------------------------------------------- AHS-2 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ pv 198 N = 1, n = 1000, r = 27, s = 3, L = 10000020 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Number of degrees of freedom : 8 MT19937 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ Chi-square statistic XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 530 ¦ ¦ ¦ ¦ 530 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 87.2 sstring_LongestHeadRun test: AHS-1 ¦ 39 ¦ ¦ ¦ ¦ 39 ¦ ----------------------------------------------- AHS-2 ¦ 34 ¦ ¦ ¦ ¦ 34 ¦ pv 199 N = 1, n = 1000, r = 27, s = 3, L = 10000020 AHS-3 ¦ 32 ¦ ¦ ¦ ¦ 32 ¦ Global longest run of 1 MT19937 ¦ 38 ¦ ¦ ¦ ¦ 38 ¦ XOshiro ¦ 36 ¦ ¦ ¦ ¦ 36 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 179 ¦ ¦ ¦ ¦ 179 ¦ =================================================================================================================================== 88.1 sstring_PeriodsInStrings test: AHS-1 ¦ ¦ 73 ¦ 16 ¦ 14 ¦ 103 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 79 ¦ 14 ¦ 13 ¦ 106 ¦ pv 200 N = 10, n = 500000000, r = 0, s = 10 AHS-3 ¦ ¦ 72 ¦ 14 ¦ 19 ¦ 105 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 61 ¦ 12 ¦ 11 ¦ 84 ¦ XOshiro ¦ ¦ 63 ¦ 16 ¦ 12 ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 348 ¦ 72 ¦ 69 ¦ 489 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 88.2 sstring_PeriodsInStrings test: AHS-1 ¦ ¦ 71 ¦ 5 ¦ 13 ¦ 89 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 82 ¦ 2 ¦ 7 ¦ 91 ¦ pv 201 N = 10, n = 500000000, r = 0, s = 10 AHS-3 ¦ ¦ 95 ¦ 8 ¦ 10 ¦ 113 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 73 ¦ 8 ¦ 6 ¦ 87 ¦ XOshiro ¦ ¦ 97 ¦ 7 ¦ 7 ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 418 ¦ 30 ¦ 43 ¦ 491 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 88.3 sstring_PeriodsInStrings test: AHS-1 ¦ ¦ 32 ¦ 8 ¦ 27 ¦ 67 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 52 ¦ 2 ¦ 34 ¦ 88 ¦ pv 202 N = 10, n = 500000000, r = 0, s = 10 AHS-3 ¦ ¦ 42 ¦ 14 ¦ 35 ¦ 91 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 35 ¦ 10 ¦ 37 ¦ 82 ¦ XOshiro ¦ ¦ 41 ¦ 10 ¦ 26 ¦ 77 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 202 ¦ 44 ¦ 159 ¦ 405 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 88.4 sstring_PeriodsInStrings test: AHS-1 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ ----------------------------------------------- AHS-2 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ pv 203 N = 10, n = 500000000, r = 0, s = 10 AHS-3 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ Test on the sum of all N observations MT19937 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ XOshiro ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 477 ¦ ¦ ¦ ¦ 477 ¦ =================================================================================================================================== 89.1 sstring_PeriodsInStrings test: AHS-1 ¦ ¦ 57 ¦ 15 ¦ 18 ¦ 90 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 74 ¦ 12 ¦ 15 ¦ 101 ¦ pv 204 N = 10, n = 500000000, r = 20, s = 10 AHS-3 ¦ ¦ 69 ¦ 4 ¦ 16 ¦ 89 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 74 ¦ 9 ¦ 14 ¦ 97 ¦ XOshiro ¦ ¦ 72 ¦ 13 ¦ 6 ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 346 ¦ 53 ¦ 69 ¦ 468 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 89.2 sstring_PeriodsInStrings test: AHS-1 ¦ ¦ 74 ¦ 9 ¦ 14 ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 72 ¦ 6 ¦ 13 ¦ 91 ¦ pv 205 N = 10, n = 500000000, r = 20, s = 10 AHS-3 ¦ ¦ 89 ¦ 10 ¦ 9 ¦ 108 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 93 ¦ 7 ¦ 8 ¦ 108 ¦ XOshiro ¦ ¦ 91 ¦ 7 ¦ 9 ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 419 ¦ 39 ¦ 53 ¦ 511 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 89.3 sstring_PeriodsInStrings test: AHS-1 ¦ ¦ 45 ¦ 7 ¦ 37 ¦ 89 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 31 ¦ 9 ¦ 43 ¦ 83 ¦ pv 206 N = 10, n = 500000000, r = 20, s = 10 AHS-3 ¦ ¦ 37 ¦ 6 ¦ 30 ¦ 73 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 43 ¦ 4 ¦ 29 ¦ 76 ¦ XOshiro ¦ ¦ 44 ¦ 6 ¦ 35 ¦ 85 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 200 ¦ 32 ¦ 174 ¦ 406 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 89.4 sstring_PeriodsInStrings test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 207 N = 10, n = 500000000, r = 20, s = 10 AHS-3 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ Test on the sum of all N observations MT19937 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ XOshiro ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 485 ¦ ¦ ¦ ¦ 485 ¦ =================================================================================================================================== 90.1 sstring_HammingWeight2 test: AHS-1 ¦ ¦ 65 ¦ 16 ¦ 12 ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 60 ¦ 10 ¦ 9 ¦ 79 ¦ pv 208 N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 AHS-3 ¦ ¦ 89 ¦ 13 ¦ 10 ¦ 112 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 67 ¦ 19 ¦ 15 ¦ 101 ¦ XOshiro ¦ ¦ 75 ¦ 8 ¦ 16 ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 356 ¦ 66 ¦ 62 ¦ 484 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 90.2 sstring_HammingWeight2 test: AHS-1 ¦ ¦ 69 ¦ 18 ¦ 10 ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 79 ¦ 9 ¦ 11 ¦ 99 ¦ pv 209 N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 AHS-3 ¦ ¦ 77 ¦ 9 ¦ 12 ¦ 98 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 93 ¦ 11 ¦ 14 ¦ 118 ¦ XOshiro ¦ ¦ 94 ¦ 13 ¦ 15 ¦ 122 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 412 ¦ 60 ¦ 62 ¦ 534 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 90.3 sstring_HammingWeight2 test: AHS-1 ¦ ¦ 38 ¦ 14 ¦ 41 ¦ 93 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 25 ¦ 9 ¦ 41 ¦ 75 ¦ pv 210 N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 AHS-3 ¦ ¦ 35 ¦ 8 ¦ 34 ¦ 77 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 50 ¦ 12 ¦ 40 ¦ 102 ¦ XOshiro ¦ ¦ 42 ¦ 5 ¦ 41 ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 190 ¦ 48 ¦ 197 ¦ 435 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 90.4 sstring_HammingWeight2 test: AHS-1 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ----------------------------------------------- AHS-2 ¦ 91 ¦ ¦ ¦ ¦ 91 ¦ pv 211 N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Test on the sum of all N observations MT19937 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ XOshiro ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 522 ¦ ¦ ¦ ¦ 522 ¦ =================================================================================================================================== 91.1 sstring_HammingWeight2 test: AHS-1 ¦ ¦ 85 ¦ 7 ¦ 15 ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 80 ¦ 14 ¦ 10 ¦ 104 ¦ pv 212 N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 AHS-3 ¦ ¦ 71 ¦ 8 ¦ 12 ¦ 91 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 67 ¦ 12 ¦ 13 ¦ 92 ¦ XOshiro ¦ ¦ 78 ¦ 15 ¦ 10 ¦ 103 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 381 ¦ 56 ¦ 60 ¦ 497 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 91.2 sstring_HammingWeight2 test: AHS-1 ¦ ¦ 79 ¦ 9 ¦ 12 ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 75 ¦ 11 ¦ 8 ¦ 94 ¦ pv 213 N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 AHS-3 ¦ ¦ 81 ¦ 13 ¦ 15 ¦ 109 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 77 ¦ 19 ¦ 15 ¦ 111 ¦ XOshiro ¦ ¦ 67 ¦ 10 ¦ 3 ¦ 80 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 379 ¦ 62 ¦ 53 ¦ 494 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 91.3 string_HammingWeight2 test: AHS-1 ¦ ¦ 33 ¦ 10 ¦ 28 ¦ 71 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 48 ¦ 4 ¦ 38 ¦ 90 ¦ pv 214 N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 AHS-3 ¦ ¦ 35 ¦ 10 ¦ 41 ¦ 86 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 42 ¦ 16 ¦ 35 ¦ 93 ¦ XOshiro ¦ ¦ 55 ¦ 9 ¦ 37 ¦ 101 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 213 ¦ 49 ¦ 179 ¦ 441 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 91.4 sstring_HammingWeight2 test: AHS-1 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ pv 215 N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 AHS-3 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ Test on the sum of all N observations MT19937 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ XOshiro ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 516 ¦ ¦ ¦ ¦ 516 ¦ =================================================================================================================================== 92.0 sstring_HammingCorr test: AHS-1 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ pv 216 N = 1, n = 1000000000, r = 10, s = 10, L = 30 AHS-3 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Normal statistic MT19937 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ XOshiro ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 517 ¦ ¦ ¦ ¦ 517 ¦ =================================================================================================================================== 93.0 sstring_HammingCorr test: AHS-1 ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ pv 217 N = 1, n = 100000000, r = 10, s = 10, L = 300 AHS-3 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ Normal statistic MT19937 ¦ 95 ¦ ¦ ¦ ¦ 95 ¦ XOshiro ¦ 107 ¦ ¦ ¦ ¦ 107 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 520 ¦ ¦ ¦ ¦ 520 ¦ =================================================================================================================================== 94.0 sstring_HammingCorr test: AHS-1 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ ----------------------------------------------- AHS-2 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ pv 218 N = 1, n = 100000000, r = 10, s = 10, L = 1200 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Normal statistic MT19937 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ XOshiro ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 519 ¦ ¦ ¦ ¦ 519 ¦ =================================================================================================================================== 95.1 sstring_HammingIndep test: AHS-1 ¦ ¦ 75 ¦ 11 ¦ 10 ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 73 ¦ 12 ¦ 15 ¦ 100 ¦ pv 219 N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 AHS-3 ¦ ¦ 72 ¦ 11 ¦ 9 ¦ 92 ¦ Counters with expected numbers >= 10 MT19937 ¦ ¦ 66 ¦ 14 ¦ 14 ¦ 94 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 69 ¦ 13 ¦ 11 ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 355 ¦ 61 ¦ 59 ¦ 475 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 95.2 sstring_HammingIndep test: AHS-1 ¦ ¦ 88 ¦ 7 ¦ 13 ¦ 108 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 90 ¦ 17 ¦ 11 ¦ 118 ¦ pv 220 N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 AHS-3 ¦ ¦ 82 ¦ 13 ¦ 12 ¦ 107 ¦ Counters with expected numbers >= 10 MT19937 ¦ ¦ 89 ¦ 6 ¦ 13 ¦ 108 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 64 ¦ 10 ¦ 8 ¦ 82 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 413 ¦ 53 ¦ 57 ¦ 523 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 95.3 sstring_HammingIndep test: AHS-1 ¦ ¦ 38 ¦ 6 ¦ 35 ¦ 79 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 46 ¦ 5 ¦ 35 ¦ 86 ¦ pv 221 N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 AHS-3 ¦ ¦ 43 ¦ 10 ¦ 29 ¦ 82 ¦ Counters with expected numbers >= 10 MT19937 ¦ ¦ 39 ¦ 4 ¦ 33 ¦ 76 ¦ Anderson-Darling statistic = A2 XOshiro ¦ ¦ 45 ¦ 9 ¦ 35 ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 211 ¦ 34 ¦ 167 ¦ 412 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 95.4 sstring_HammingIndep test: AHS-1 ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ----------------------------------------------- AHS-2 ¦ 104 ¦ ¦ ¦ ¦ 104 ¦ pv 222 N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 AHS-3 ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ Counters with expected numbers >= 10 MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Test on the sum of all N observations XOshiro ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 491 ¦ ¦ ¦ ¦ 491 ¦ =================================================================================================================================== 96.1 sstring_HammingIndep test: AHS-1 ¦ ¦ 80 ¦ 8 ¦ 12 ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 74 ¦ 8 ¦ 16 ¦ 98 ¦ pv 223 N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 AHS-3 ¦ ¦ 75 ¦ 12 ¦ 11 ¦ 98 ¦ Counters with expected numbers >= 10 MT19937 ¦ ¦ 68 ¦ 11 ¦ 13 ¦ 92 ¦ Kolmogorov-Smirnov+ statistic = D+ XOshiro ¦ ¦ 83 ¦ 12 ¦ 16 ¦ 111 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 380 ¦ 51 ¦ 68 ¦ 499 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 96.2 sstring_HammingIndep test: AHS-1 ¦ ¦ 81 ¦ 11 ¦ 23 ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 82 ¦ 13 ¦ 16 ¦ 111 ¦ pv 224 N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 AHS-3 ¦ ¦ 91 ¦ 9 ¦ 13 ¦ 113 ¦ Counters with expected numbers >= 10 MT19937 ¦ ¦ 78 ¦ 18 ¦ 15 ¦ 111 ¦ Kolmogorov-Smirnov- statistic = D- XOshiro ¦ ¦ 62 ¦ 15 ¦ 11 ¦ 88 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 394 ¦ 66 ¦ 78 ¦ 538 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 96.3 sstring_HammingIndep test: AHS-1 ¦ ¦ 45 ¦ 11 ¦ 43 ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 43 ¦ 8 ¦ 47 ¦ 98 ¦ pv 225 N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 AHS-3 ¦ ¦ 51 ¦ 6 ¦ 38 ¦ 95 ¦ Counters with expected numbers >= 10 MT19937 ¦ ¦ 48 ¦ 16 ¦ 43 ¦ 107 ¦ Anderson-Darling statistic = A2 XOshiro ¦ ¦ 43 ¦ 15 ¦ 35 ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 230 ¦ 56 ¦ 206 ¦ 492 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 96.4 sstring_HammingIndep test: AHS-1 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ ----------------------------------------------- AHS-2 ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ pv 226 N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Counters with expected numbers >= 10 MT19937 ¦ 109 ¦ ¦ ¦ ¦ 109 ¦ Test on the sum of all N observations XOshiro ¦ 118 ¦ ¦ ¦ ¦ 118 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 560 ¦ ¦ ¦ ¦ 560 ¦ =================================================================================================================================== 97.0 sstring_HammingIndep test: AHS-1 ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ ----------------------------------------------- AHS-2 ¦ 89 ¦ ¦ ¦ ¦ 89 ¦ pv 227 N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0 AHS-3 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ Counters with expected numbers >= 10 MT19937 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Number of degrees of freedom : 4117 XOshiro ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 504 ¦ ¦ ¦ ¦ 504 ¦ =================================================================================================================================== 98.0 sstring_HammingIndep test: AHS-1 ¦ 121 ¦ ¦ ¦ ¦ 121 ¦ ----------------------------------------------- AHS-2 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ pv 228 N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0 AHS-3 ¦ 102 ¦ ¦ ¦ ¦ 102 ¦ Counters with expected numbers >= 10 MT19937 ¦ 90 ¦ ¦ ¦ ¦ 90 ¦ Number of degrees of freedom : 4117 XOshiro ¦ 97 ¦ ¦ ¦ ¦ 97 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 510 ¦ ¦ ¦ ¦ 510 ¦ =================================================================================================================================== 99.0 sstring_HammingIndep test: AHS-1 ¦ 116 ¦ ¦ ¦ ¦ 116 ¦ ----------------------------------------------- AHS-2 ¦ 113 ¦ ¦ ¦ ¦ 113 ¦ pv 229 N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0 AHS-3 ¦ 119 ¦ ¦ ¦ ¦ 119 ¦ Counters with expected numbers >= 10 MT19937 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ Number of degrees of freedom : 11825 XOshiro ¦ 115 ¦ ¦ ¦ ¦ 115 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 559 ¦ ¦ ¦ ¦ 559 ¦ =================================================================================================================================== 100.0 sstring_HammingIndep test: AHS-1 ¦ 111 ¦ ¦ ¦ ¦ 111 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 230 N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0 AHS-3 ¦ 106 ¦ ¦ ¦ ¦ 106 ¦ Counters with expected numbers >= 10 MT19937 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ Number of degrees of freedom : 11825 XOshiro ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 524 ¦ ¦ ¦ ¦ 524 ¦ =================================================================================================================================== 101.1 sstring_Run test: AHS-1 ¦ 144 ¦ ¦ ¦ ¦ 144 ¦ ----------------------------------------------- AHS-2 ¦ 154 ¦ ¦ ¦ ¦ 154 ¦ pv 231 N = 1, n = 2000000000, r = 0, s = 3 AHS-3 ¦ 145 ¦ ¦ ¦ ¦ 145 ¦ Number of degrees of freedom : 54 MT19937 ¦ 161 ¦ ¦ ¦ ¦ 161 ¦ Chi2 statistic for number of runs XOshiro ¦ 169 ¦ ¦ ¦ ¦ 169 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 773 ¦ ¦ ¦ ¦ 773 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 101.2 sstring_Run test: AHS-1 ¦ 1 ¦ ¦ ¦ ¦ 1 ¦ ----------------------------------------------- AHS-2 ¦ ¦ ¦ ¦ ¦ ¦ pv 232 N = 1, n = 2000000000, r = 0, s = 3 AHS-3 ¦ ¦ ¦ ¦ ¦ ¦ Normal statistic for number of bits MT19937 ¦ 1 ¦ ¦ ¦ ¦ 1 ¦ XOshiro ¦ 1 ¦ ¦ ¦ ¦ 1 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 3 ¦ ¦ ¦ ¦ 3 ¦ =================================================================================================================================== 102.1 sstring_Run test: AHS-1 ¦ 154 ¦ ¦ ¦ ¦ 154 ¦ ----------------------------------------------- AHS-2 ¦ 159 ¦ ¦ ¦ ¦ 159 ¦ pv 233 N = 1, n = 2000000000, r = 27, s = 3 AHS-3 ¦ 156 ¦ ¦ ¦ ¦ 156 ¦ Number of degrees of freedom : 54 MT19937 ¦ 132 ¦ ¦ ¦ ¦ 132 ¦ Chi2 statistic for number of runs XOshiro ¦ 145 ¦ ¦ ¦ ¦ 145 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 746 ¦ ¦ ¦ ¦ 746 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 102.2 sstring_Run test: AHS-1 ¦ 1 ¦ ¦ ¦ ¦ 1 ¦ ----------------------------------------------- AHS-2 ¦ ¦ ¦ ¦ ¦ ¦ pv 234 N = 1, n = 2000000000, r = 27, s = 3 AHS-3 ¦ ¦ ¦ ¦ ¦ ¦ Normal statistic for number of bits MT19937 ¦ ¦ ¦ ¦ ¦ ¦ XOshiro ¦ 1 ¦ ¦ ¦ ¦ 1 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 2 ¦ ¦ ¦ ¦ 2 ¦ =================================================================================================================================== 103.1 sstring_AutoCor test: AHS-1 ¦ ¦ 83 ¦ 17 ¦ 17 ¦ 117 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 84 ¦ 8 ¦ 15 ¦ 107 ¦ pv 235 N = 10, n = 1000000030, r = 0, s = 3, d = 1 AHS-3 ¦ ¦ 81 ¦ 12 ¦ 10 ¦ 103 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 82 ¦ 8 ¦ 14 ¦ 104 ¦ XOshiro ¦ ¦ 66 ¦ 12 ¦ 11 ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 396 ¦ 57 ¦ 67 ¦ 520 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 103.2 sstring_AutoCor test: AHS-1 ¦ ¦ 68 ¦ 9 ¦ 10 ¦ 87 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 71 ¦ 10 ¦ 9 ¦ 90 ¦ pv 236 N = 10, n = 1000000030, r = 0, s = 3, d = 1 AHS-3 ¦ ¦ 71 ¦ 14 ¦ 10 ¦ 95 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 75 ¦ 9 ¦ 10 ¦ 94 ¦ XOshiro ¦ ¦ 71 ¦ 11 ¦ 11 ¦ 93 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 356 ¦ 53 ¦ 50 ¦ 459 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 103.3 sstring_AutoCor test: AHS-1 ¦ ¦ 43 ¦ 14 ¦ 35 ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 37 ¦ 6 ¦ 42 ¦ 85 ¦ pv 237 N = 10, n = 1000000030, r = 0, s = 3, d = 1 AHS-3 ¦ ¦ 41 ¦ 6 ¦ 33 ¦ 80 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 51 ¦ 9 ¦ 26 ¦ 86 ¦ XOshiro ¦ ¦ 42 ¦ 10 ¦ 34 ¦ 86 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 214 ¦ 45 ¦ 170 ¦ 429 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 103.4 sstring_AutoCor test: AHS-1 ¦ 98 ¦ ¦ ¦ ¦ 98 ¦ ----------------------------------------------- AHS-2 ¦ 93 ¦ ¦ ¦ ¦ 93 ¦ pv 238 N = 10, n = 1000000030, r = 0, s = 3, d = 1 AHS-3 ¦ 105 ¦ ¦ ¦ ¦ 105 ¦ Tests on the sum of all N observations MT19937 ¦ 86 ¦ ¦ ¦ ¦ 86 ¦ Standardized normal statistic XOshiro ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 476 ¦ ¦ ¦ ¦ 476 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 103.5 sstring_AutoCor test: AHS-1 ¦ ¦ 99 ¦ ¦ ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 109 ¦ ¦ ¦ 109 ¦ pv 239 N = 10, n = 1000000030, r = 0, s = 3, d = 1 AHS-3 ¦ ¦ 86 ¦ ¦ ¦ 86 ¦ Sample variance MT19937 ¦ ¦ 92 ¦ ¦ ¦ 92 ¦ XOshiro ¦ ¦ 92 ¦ ¦ ¦ 92 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 478 ¦ ¦ ¦ 478 ¦ =================================================================================================================================== 104.1 sstring_AutoCor test: AHS-1 ¦ ¦ 96 ¦ 6 ¦ 12 ¦ 114 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 73 ¦ 15 ¦ 8 ¦ 96 ¦ pv 240 N = 10, n = 1000000029, r = 0, s = 3, d = 3 AHS-3 ¦ ¦ 89 ¦ 11 ¦ 13 ¦ 113 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 99 ¦ 8 ¦ 18 ¦ 125 ¦ XOshiro ¦ ¦ 71 ¦ 21 ¦ 16 ¦ 108 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 428 ¦ 61 ¦ 67 ¦ 556 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 104.2 sstring_AutoCor test: AHS-1 ¦ ¦ 74 ¦ 9 ¦ 14 ¦ 97 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 83 ¦ 12 ¦ 8 ¦ 103 ¦ pv 241 N = 10, n = 1000000029, r = 0, s = 3, d = 3 AHS-3 ¦ ¦ 84 ¦ 6 ¦ 12 ¦ 102 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 79 ¦ 8 ¦ 12 ¦ 99 ¦ XOshiro ¦ ¦ 86 ¦ 6 ¦ 16 ¦ 108 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 406 ¦ 41 ¦ 62 ¦ 509 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 104.3 sstring_AutoCor test: AHS-1 ¦ ¦ 31 ¦ 8 ¦ 37 ¦ 76 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 31 ¦ 10 ¦ 22 ¦ 63 ¦ pv 242 N = 10, n = 1000000029, r = 0, s = 3, d = 3 AHS-3 ¦ ¦ 31 ¦ 5 ¦ 31 ¦ 67 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 37 ¦ 12 ¦ 33 ¦ 82 ¦ XOshiro ¦ ¦ 44 ¦ 16 ¦ 32 ¦ 92 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 174 ¦ 51 ¦ 155 ¦ 380 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 104.4 sstring_AutoCor test: AHS-1 ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ----------------------------------------------- AHS-2 ¦ 87 ¦ ¦ ¦ ¦ 87 ¦ pv 243 N = 10, n = 1000000029, r = 0, s = 3, d = 3 AHS-3 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ Tests on the sum of all N observations MT19937 ¦ 92 ¦ ¦ ¦ ¦ 92 ¦ Standardized normal statistic XOshiro ¦ 108 ¦ ¦ ¦ ¦ 108 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 474 ¦ ¦ ¦ ¦ 474 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 104.5 sstring_AutoCor test: AHS-1 ¦ ¦ 107 ¦ ¦ ¦ 107 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 88 ¦ ¦ ¦ 88 ¦ pv 244 N = 10, n = 1000000029, r = 0, s = 3, d = 3 AHS-3 ¦ ¦ 115 ¦ ¦ ¦ 115 ¦ Sample variance MT19937 ¦ ¦ 97 ¦ ¦ ¦ 97 ¦ XOshiro ¦ ¦ 108 ¦ 1 ¦ ¦ 109 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 515 ¦ 1 ¦ ¦ 516 ¦ =================================================================================================================================== 105.1 sstring_AutoCor test: AHS-1 ¦ ¦ 67 ¦ 14 ¦ 11 ¦ 92 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 90 ¦ 10 ¦ 12 ¦ 112 ¦ pv 245 N = 10, n = 1000000030, r = 27, s = 3, d = 1 AHS-3 ¦ ¦ 74 ¦ 14 ¦ 7 ¦ 95 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 84 ¦ 12 ¦ 11 ¦ 107 ¦ XOshiro ¦ ¦ 80 ¦ 11 ¦ 9 ¦ 100 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 395 ¦ 61 ¦ 50 ¦ 506 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 105.2 sstring_AutoCor test: AHS-1 ¦ ¦ 88 ¦ 10 ¦ 17 ¦ 115 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 78 ¦ 13 ¦ 9 ¦ 100 ¦ pv 246 N = 10, n = 1000000030, r = 27, s = 3, d = 1 AHS-3 ¦ ¦ 83 ¦ 6 ¦ 15 ¦ 104 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 80 ¦ 9 ¦ 14 ¦ 103 ¦ XOshiro ¦ ¦ 77 ¦ 17 ¦ 10 ¦ 104 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 406 ¦ 55 ¦ 65 ¦ 526 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 105.3 sstring_AutoCor test: AHS-1 ¦ ¦ 39 ¦ 7 ¦ 36 ¦ 82 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 37 ¦ 11 ¦ 34 ¦ 82 ¦ pv 247 N = 10, n = 1000000030, r = 27, s = 3, d = 1 AHS-3 ¦ ¦ 51 ¦ 6 ¦ 38 ¦ 95 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 36 ¦ 8 ¦ 39 ¦ 83 ¦ XOshiro ¦ ¦ 36 ¦ 10 ¦ 34 ¦ 80 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 199 ¦ 42 ¦ 181 ¦ 422 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 105.4 sstring_AutoCor test: AHS-1 ¦ 100 ¦ ¦ ¦ ¦ 100 ¦ ----------------------------------------------- AHS-2 ¦ 101 ¦ ¦ ¦ ¦ 101 ¦ pv 248 N = 10, n = 1000000030, r = 27, s = 3, d = 1 AHS-3 ¦ 117 ¦ ¦ ¦ ¦ 117 ¦ Tests on the sum of all N observations MT19937 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ Standardized normal statistic XOshiro ¦ 94 ¦ ¦ ¦ ¦ 94 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 515 ¦ ¦ ¦ ¦ 515 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 105.5 sstring_AutoCor test: AHS-1 ¦ ¦ 91 ¦ ¦ ¦ 91 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 109 ¦ ¦ ¦ 109 ¦ pv 249 N = 10, n = 1000000030, r = 27, s = 3, d = 1 AHS-3 ¦ ¦ 92 ¦ ¦ ¦ 92 ¦ Sample variance MT19937 ¦ ¦ 105 ¦ ¦ ¦ 105 ¦ XOshiro ¦ ¦ 91 ¦ ¦ ¦ 91 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 488 ¦ ¦ ¦ 488 ¦ =================================================================================================================================== 106.1 sstring_AutoCor test: AHS-1 ¦ ¦ 90 ¦ 12 ¦ 7 ¦ 109 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 85 ¦ 11 ¦ 6 ¦ 102 ¦ pv 250 N = 10, n = 1000000029, r = 27, s = 3, d = 3 AHS-3 ¦ ¦ 68 ¦ 15 ¦ 10 ¦ 93 ¦ Kolmogorov-Smirnov+ statistic = D+ MT19937 ¦ ¦ 86 ¦ 11 ¦ 12 ¦ 109 ¦ XOshiro ¦ ¦ 71 ¦ 14 ¦ 10 ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 400 ¦ 63 ¦ 45 ¦ 508 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 106.2 sstring_AutoCor test: AHS-1 ¦ ¦ 78 ¦ 14 ¦ 4 ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 74 ¦ 6 ¦ 7 ¦ 87 ¦ pv 251 N = 10, n = 1000000029, r = 27, s = 3, d = 3 AHS-3 ¦ ¦ 68 ¦ 13 ¦ 11 ¦ 92 ¦ Kolmogorov-Smirnov- statistic = D- MT19937 ¦ ¦ 85 ¦ 8 ¦ 16 ¦ 109 ¦ XOshiro ¦ ¦ 75 ¦ 9 ¦ 5 ¦ 89 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 380 ¦ 50 ¦ 43 ¦ 473 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 106.3 sstring_AutoCor test: AHS-1 ¦ ¦ 54 ¦ 11 ¦ 23 ¦ 88 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 46 ¦ 6 ¦ 32 ¦ 84 ¦ pv 252 N = 10, n = 1000000029, r = 27, s = 3, d = 3 AHS-3 ¦ ¦ 30 ¦ 11 ¦ 32 ¦ 73 ¦ Anderson-Darling statistic = A2 MT19937 ¦ ¦ 48 ¦ 8 ¦ 29 ¦ 85 ¦ XOshiro ¦ ¦ 42 ¦ 18 ¦ 35 ¦ 95 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 220 ¦ 54 ¦ 151 ¦ 425 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 106.4 sstring_AutoCor test: AHS-1 ¦ 96 ¦ ¦ ¦ ¦ 96 ¦ ----------------------------------------------- AHS-2 ¦ 85 ¦ ¦ ¦ ¦ 85 ¦ pv 253 N = 10, n = 1000000029, r = 27, s = 3, d = 3 AHS-3 ¦ 103 ¦ ¦ ¦ ¦ 103 ¦ Tests on the sum of all N observations MT19937 ¦ 88 ¦ ¦ ¦ ¦ 88 ¦ Standardized normal statistic XOshiro ¦ 99 ¦ ¦ ¦ ¦ 99 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ 471 ¦ ¦ ¦ ¦ 471 ¦ ----------------------------------------------------------------------------------------------------------------------------------- 106.5 sstring_AutoCor test: AHS-1 ¦ ¦ 121 ¦ ¦ ¦ 121 ¦ ----------------------------------------------- AHS-2 ¦ ¦ 101 ¦ ¦ ¦ 101 ¦ pv 254 N = 10, n = 1000000029, r = 27, s = 3, d = 3 AHS-3 ¦ ¦ 82 ¦ ¦ ¦ 82 ¦ Sample variance MT19937 ¦ ¦ 103 ¦ ¦ ¦ 103 ¦ XOshiro ¦ ¦ 100 ¦ 1 ¦ 1 ¦ 102 ¦ ¦ ¦ ¦ ¦ ¦ ¦ Totals ¦ ¦ 507 ¦ 1 ¦ 1 ¦ 509 ¦ 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