Last active
April 19, 2020 13:03
-
-
Save espadrine/1b585aead4fcf45126fad37e6391126e to your computer and use it in GitHub Desktop.
Harmonoise PRNG
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| #include "TestU01.h" | |
| #include "harmonoise.h" | |
| static harmonoise_state r; | |
| unsigned int harmonoise() { | |
| return (unsigned int)harmonoise_gen(&r); | |
| } | |
| int main() { | |
| r = harmonoise_init(0, 0, 0, 0); | |
| unif01_Gen* gen = unif01_CreateExternGenBits("Harmonoise", harmonoise); | |
| bbattery_BigCrush(gen); | |
| unif01_DeleteExternGenBits(gen); | |
| return 0; | |
| } |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| #include <unistd.h> | |
| #include "./harmonoise.h" | |
| #define BUFSIZE 1048576 | |
| int main() { | |
| harmonoise_state s = harmonoise_init(0, 0, 0, 0); | |
| unsigned char buf[BUFSIZE]; | |
| for (;;) { | |
| for (int i = 0; i < BUFSIZE; i += 4) { | |
| __uint32_t n = harmonoise_gen(&s); | |
| buf[i + 0] = (n >> 24) & 0xff; | |
| buf[i + 1] = (n >> 16) & 0xff; | |
| buf[i + 2] = (n >> 8) & 0xff; | |
| buf[i + 3] = (n >> 0) & 0xff; | |
| } | |
| write(STDOUT_FILENO, buf, BUFSIZE); | |
| } | |
| return 0; | |
| } |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| #ifndef HARMONOISE_H | |
| #define HARMONOISE_H | |
| __uint32_t harmonoise_harmonics[] = { | |
| 0b11111111111111111111111111111111, | |
| 0b10101010101010101010101010101010, | |
| 0b10010010010010010010010010010010, | |
| 0b10001000100010001000100010001000, | |
| 0b10000100001000010000100001000010, | |
| 0b10000010000010000010000010000010, | |
| 0b10000001000000100000010000001000, | |
| 0b10000000100000001000000010000000, | |
| 0b10000000010000000010000000010000, | |
| 0b10000000001000000000100000000010, | |
| 0b10000000000100000000001000000000, | |
| 0b10000000000010000000000010000000, | |
| 0b10000000000001000000000000100000, | |
| 0b10000000000000100000000000001000, | |
| 0b10000000000000010000000000000010, | |
| 0b10000000000000001000000000000000, | |
| 0b10000000000000000100000000000000, | |
| 0b10000000000000000010000000000000, | |
| 0b10000000000000000001000000000000, | |
| 0b10000000000000000000100000000000, | |
| 0b10000000000000000000010000000000, | |
| 0b10000000000000000000001000000000, | |
| 0b10000000000000000000000100000000, | |
| 0b10000000000000000000000010000000, | |
| 0b10000000000000000000000001000000, | |
| 0b10000000000000000000000000100000, | |
| 0b10000000000000000000000000010000, | |
| 0b10000000000000000000000000001000, | |
| 0b10000000000000000000000000000100, | |
| 0b10000000000000000000000000000010, | |
| 0b10000000000000000000000000000001, | |
| 0b10000000000000000000000000000000, | |
| }; | |
| typedef struct harmonoise_state { | |
| __uint32_t a, b, c, d; | |
| } harmonoise_state; | |
| harmonoise_state harmonoise_init(__uint32_t a, __uint32_t b, __uint32_t c, __uint32_t d) { | |
| return (harmonoise_state){a, b, c, d}; | |
| } | |
| __uint32_t harmonoise_rotr32(__uint32_t v, __uint32_t shift) { | |
| shift &= 0x1f; | |
| return (v >> shift) | (v << (32 - shift)); | |
| } | |
| __uint32_t harmonoise_apply(char i, __uint32_t invert, __uint32_t shift) { | |
| __uint32_t h = invert? ~harmonoise_harmonics[i]: harmonoise_harmonics[i]; | |
| return harmonoise_rotr32(h, shift); | |
| } | |
| __uint32_t harmonoise_gen(harmonoise_state *s) { | |
| __uint32_t a = s->a, b = s->b, c = s->c, d = s->d, | |
| na = 0, nb = 0, nc = 0, nd = 0; | |
| for (char i = 0; i < 32; i++) { | |
| if (a & (1 << i)) { | |
| nb ^= harmonoise_apply(i, b & (1 << i), (c >> i) + d); | |
| } | |
| if (b & (1 << i)) { | |
| nc ^= harmonoise_apply(i, c & (1 << i), (d >> i) + a); | |
| } | |
| if (c & (1 << i)) { | |
| nd ^= harmonoise_apply(i, d & (1 << i), (a >> i) + b); | |
| } | |
| if (d & (1 << i)) { | |
| na ^= harmonoise_apply(i, a & (1 << i), (b >> i) + c); | |
| } | |
| } | |
| s->a = na + 1; | |
| s->b = nb - 1; | |
| s->c = nc + 2; | |
| s->d = nd - 2; | |
| return na ^ nb ^ nc ^ nd; | |
| } | |
| #endif |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| ./harmonoise-big-crush | |
| xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx | |
| Starting BigCrush | |
| Version: TestU01 1.2.3 | |
| xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx | |
| *********************************************************** | |
| Test smarsa_SerialOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000000, r = 0, d = 256, t = 3, | |
| Sparse = FALSE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 16777216 | |
| Expected number per cell = 59.604645 | |
| Hashing = FALSE | |
| For Delta > -1, we use the ChiSquare approximation | |
| Correction factor of the ChiSquare: | |
| Delta = 1, Mu = 0.0083558402, Sigma = 1 | |
| ----------------------------------------------- | |
| Test Results for Delta = 1.0000 | |
| Number of degrees of freedom : 16711680 | |
| Value of the statistic : 1.67e+7 | |
| p-value of test : 0.71 | |
| ----------------------------------------------- | |
| CPU time used : 00:06:43.20 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_SerialOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000000, r = 22, d = 256, t = 3, | |
| Sparse = FALSE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 16777216 | |
| Expected number per cell = 59.604645 | |
| Hashing = FALSE | |
| For Delta > -1, we use the ChiSquare approximation | |
| Correction factor of the ChiSquare: | |
| Delta = 1, Mu = 0.0083558402, Sigma = 1 | |
| ----------------------------------------------- | |
| Test Results for Delta = 1.0000 | |
| Number of degrees of freedom : 16711680 | |
| Value of the statistic : 1.67e+7 | |
| p-value of test : 0.36 | |
| ----------------------------------------------- | |
| CPU time used : 00:06:56.42 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 0, d = 2097152, t = 2, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1404 | |
| p-value of test : 0.14 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334524 | |
| j = 1 : 599997192 | |
| j = 2 : 1404 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:06:46.46 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 9, d = 2097152, t = 2, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1391 | |
| p-value of test : 0.24 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334511 | |
| j = 1 : 599997218 | |
| j = 2 : 1391 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:06:52.64 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 0, d = 16384, t = 3, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1358 | |
| p-value of test : 0.56 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334478 | |
| j = 1 : 599997284 | |
| j = 2 : 1358 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:08:53.38 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 16, d = 16384, t = 3, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1430 | |
| p-value of test : 0.04 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334550 | |
| j = 1 : 599997140 | |
| j = 2 : 1430 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:13.17 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 0, d = 64, t = 7, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1315 | |
| p-value of test : 0.91 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334435 | |
| j = 1 : 599997370 | |
| j = 2 : 1315 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:21.82 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 24, d = 64, t = 7, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1378 | |
| p-value of test : 0.36 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334498 | |
| j = 1 : 599997244 | |
| j = 2 : 1378 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:32.03 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 0, d = 8, t = 14, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1354 | |
| p-value of test : 0.60 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334474 | |
| j = 1 : 599997292 | |
| j = 2 : 1354 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:00.85 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 27, d = 8, t = 14, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1333 | |
| p-value of test : 0.80 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334453 | |
| j = 1 : 599997334 | |
| j = 2 : 1333 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:09:56.97 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 0, d = 4, t = 21, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1333 | |
| p-value of test : 0.80 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334453 | |
| j = 1 : 599997334 | |
| j = 2 : 1333 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:37.59 | |
| Generator state: | |
| *********************************************************** | |
| Test smarsa_CollisionOver calling smultin_MultinomialOver | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_MultinomialOver test: | |
| ----------------------------------------------- | |
| N = 30, n = 20000000, r = 28, d = 4, t = 21, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellSerial | |
| Number of cells = d^t = 4398046511104 | |
| Expected number per cell = 1 / 219902.33 | |
| EColl = n^2 / (2k) = 45.47473509 | |
| Hashing = TRUE | |
| Collision test | |
| CollisionOver: density = n / k = 1 / 219902.33 | |
| Expected number of collisions = Mu = 45.47 | |
| ----------------------------------------------- | |
| Results of CollisionOver test: | |
| POISSON approximation : | |
| Expected number of collisions = N*Mu : 1364.24 | |
| Observed number of collisions : 1435 | |
| p-value of test : 0.03 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 131940795334555 | |
| j = 1 : 599997130 | |
| j = 2 : 1435 | |
| j = 3 : 0 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:09:22.60 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1 | |
| Number of cells = d^t = 4611686018427387904 | |
| Lambda = Poisson mean = 54.2101 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 5421.01 | |
| Total observed number : 5581 | |
| p-value of test : 0.02 | |
| ----------------------------------------------- | |
| CPU time used : 00:16:36.39 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1 | |
| Number of cells = d^t = 9223372036854775808 | |
| Lambda = Poisson mean = 216.8404 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 4336.81 | |
| Total observed number : 4358 | |
| p-value of test : 0.38 | |
| ----------------------------------------------- | |
| CPU time used : 00:08:56.34 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 | |
| Number of cells = d^t = 18446744073709551616 | |
| Lambda = Poisson mean = 365.9182 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 7318.36 | |
| Total observed number : 7221 | |
| p-value of test : 0.87 | |
| ----------------------------------------------- | |
| CPU time used : 00:17:02.70 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1 | |
| Number of cells = d^t = 9223372036854775808 | |
| Lambda = Poisson mean = 216.8404 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 4336.81 | |
| Total observed number : 4336 | |
| p-value of test : 0.50 | |
| ----------------------------------------------- | |
| CPU time used : 00:17:54.46 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1 | |
| Number of cells = d^t = 9223372036854775808 | |
| Lambda = Poisson mean = 216.8404 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 4336.81 | |
| Total observed number : 4340 | |
| p-value of test : 0.48 | |
| ----------------------------------------------- | |
| CPU time used : 00:17:57.86 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1 | |
| Number of cells = d^t = 18446744073709551616 | |
| Lambda = Poisson mean = 365.9182 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 7318.36 | |
| Total observed number : 7263 | |
| p-value of test : 0.74 | |
| ----------------------------------------------- | |
| CPU time used : 00:30:30.60 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1 | |
| Number of cells = d^t = 18446744073709551616 | |
| Lambda = Poisson mean = 365.9182 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 7318.36 | |
| Total observed number : 7337 | |
| p-value of test : 0.42 | |
| ----------------------------------------------- | |
| CPU time used : 00:30:36.81 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1 | |
| Number of cells = d^t = 18446744073709551616 | |
| Lambda = Poisson mean = 365.9182 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 7318.36 | |
| Total observed number : 7228 | |
| p-value of test : 0.85 | |
| ----------------------------------------------- | |
| CPU time used : 00:58:05.77 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_BirthdaySpacings test: | |
| ----------------------------------------------- | |
| N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1 | |
| Number of cells = d^t = 18446744073709551616 | |
| Lambda = Poisson mean = 365.9182 | |
| ---------------------------------------------------- | |
| Total expected number = N*Lambda : 7318.36 | |
| Total observed number : 7363 | |
| p-value of test : 0.30 | |
| ----------------------------------------------- | |
| CPU time used : 00:58:19.68 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| snpair_ClosePairs test: | |
| ----------------------------------------------- | |
| N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE | |
| --------------------------------------- | |
| Test based on the 2 nearest points (NP): | |
| Stat. AD on the N values (NP) : 0.43 | |
| p-value of test : 0.81 | |
| A2 test based on the spacings between the | |
| successive jump times of process Y_n(t): | |
| A2 test on the values of A2 (m-NP) : 0.82 | |
| p-value of test : 0.47 | |
| Test on the Nm values of W_{n,i}(mNP1): 1.06 | |
| p-value of test : 0.33 | |
| Test on the jump times of Y | |
| (superposition of Yn): | |
| Expected number of jumps of Y = mN : 900 | |
| Number of jumps of Y : 899 | |
| p-value of test : 0.50 | |
| Stat. AD (mNP2) : 0.50 | |
| p-value of test : 0.74 | |
| Stat. AD after spacings (mNP2-S) : 5.37 | |
| p-value of test : 1.9e-3 | |
| ----------------------------------------------- | |
| CPU time used : 00:05:36.20 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| snpair_ClosePairs test: | |
| ----------------------------------------------- | |
| N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE | |
| --------------------------------------- | |
| Test based on the 2 nearest points (NP): | |
| Stat. AD on the N values (NP) : 0.63 | |
| p-value of test : 0.62 | |
| A2 test based on the spacings between the | |
| successive jump times of process Y_n(t): | |
| A2 test on the values of A2 (m-NP) : 0.62 | |
| p-value of test : 0.63 | |
| Test on the Nm values of W_{n,i}(mNP1): 0.35 | |
| p-value of test : 0.90 | |
| Test on the jump times of Y | |
| (superposition of Yn): | |
| Expected number of jumps of Y = mN : 600 | |
| Number of jumps of Y : 620 | |
| p-value of test : 0.21 | |
| Stat. AD (mNP2) : 1.70 | |
| p-value of test : 0.14 | |
| Stat. AD after spacings (mNP2-S) : 1.13 | |
| p-value of test : 0.30 | |
| ----------------------------------------------- | |
| CPU time used : 00:04:00.50 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| snpair_ClosePairs test: | |
| ----------------------------------------------- | |
| N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE | |
| --------------------------------------- | |
| Test based on the 2 nearest points (NP): | |
| Stat. AD on the N values (NP) : 1.12 | |
| p-value of test : 0.30 | |
| A2 test based on the spacings between the | |
| successive jump times of process Y_n(t): | |
| A2 test on the values of A2 (m-NP) : 0.84 | |
| p-value of test : 0.45 | |
| Test on the Nm values of W_{n,i}(mNP1): 0.23 | |
| p-value of test : 0.98 | |
| Test on the jump times of Y | |
| (superposition of Yn): | |
| Expected number of jumps of Y = mN : 300 | |
| Number of jumps of Y : 310 | |
| p-value of test : 0.29 | |
| Stat. AD (mNP2) : 0.47 | |
| p-value of test : 0.78 | |
| Stat. AD after spacings (mNP2-S) : 0.33 | |
| p-value of test : 0.92 | |
| ----------------------------------------------- | |
| CPU time used : 00:04:33.90 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| snpair_ClosePairs test: | |
| ----------------------------------------------- | |
| N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE | |
| --------------------------------------- | |
| Test based on the 2 nearest points (NP): | |
| Stat. AD on the N values (NP) : 1.46 | |
| p-value of test : 0.19 | |
| A2 test based on the spacings between the | |
| successive jump times of process Y_n(t): | |
| A2 test on the values of A2 (m-NP) : 0.57 | |
| p-value of test : 0.67 | |
| Test on the Nm values of W_{n,i}(mNP1): 0.25 | |
| p-value of test : 0.97 | |
| Test on the jump times of Y | |
| (superposition of Yn): | |
| Expected number of jumps of Y = mN : 150 | |
| Number of jumps of Y : 157 | |
| p-value of test : 0.29 | |
| Stat. AD (mNP2) : 0.36 | |
| p-value of test : 0.89 | |
| Stat. AD after spacings (mNP2-S) : 0.59 | |
| p-value of test : 0.66 | |
| ----------------------------------------------- | |
| CPU time used : 00:04:28.58 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_SimpPoker test: | |
| ----------------------------------------------- | |
| N = 1, n = 400000000, r = 0, d = 8, k = 8 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 7 | |
| Chi-square statistic : 9.72 | |
| p-value of test : 0.21 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:01.70 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_SimpPoker test: | |
| ----------------------------------------------- | |
| N = 1, n = 400000000, r = 27, d = 8, k = 8 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 7 | |
| Chi-square statistic : 7.63 | |
| p-value of test : 0.37 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:13.86 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_SimpPoker test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 0, d = 32, k = 32 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 18 | |
| Chi-square statistic : 22.99 | |
| p-value of test : 0.19 | |
| ----------------------------------------------- | |
| CPU time used : 00:18:56.18 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_SimpPoker test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 25, d = 32, k = 32 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 18 | |
| Chi-square statistic : 17.00 | |
| p-value of test : 0.52 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:09.54 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_CouponCollector test: | |
| ----------------------------------------------- | |
| N = 1, n = 200000000, r = 0, d = 8 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 54 | |
| Chi-square statistic : 61.37 | |
| p-value of test : 0.23 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:39.52 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_CouponCollector test: | |
| ----------------------------------------------- | |
| N = 1, n = 200000000, r = 10, d = 8 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 54 | |
| Chi-square statistic : 47.04 | |
| p-value of test : 0.74 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:57.70 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_CouponCollector test: | |
| ----------------------------------------------- | |
| N = 1, n = 200000000, r = 20, d = 8 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 54 | |
| Chi-square statistic : 62.19 | |
| p-value of test : 0.21 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:58.06 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_CouponCollector test: | |
| ----------------------------------------------- | |
| N = 1, n = 200000000, r = 27, d = 8 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 54 | |
| Chi-square statistic : 36.03 | |
| p-value of test : 0.97 | |
| ----------------------------------------------- | |
| CPU time used : 00:26:01.30 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_Gap test: | |
| ----------------------------------------------- | |
| N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 232 | |
| Chi-square statistic : 253.97 | |
| p-value of test : 0.15 | |
| ----------------------------------------------- | |
| CPU time used : 00:46:11.66 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_Gap test: | |
| ----------------------------------------------- | |
| N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 434 | |
| Chi-square statistic : 404.68 | |
| p-value of test : 0.84 | |
| ----------------------------------------------- | |
| CPU time used : 00:55:29.90 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_Gap test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 1437 | |
| Chi-square statistic : 1518.10 | |
| p-value of test : 0.07 | |
| ----------------------------------------------- | |
| CPU time used : 01:28:18.19 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_Gap test: | |
| ----------------------------------------------- | |
| N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 7046 | |
| Chi-square statistic : 6849.93 | |
| p-value of test : 0.95 | |
| ----------------------------------------------- | |
| CPU time used : 00:52:40.63 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_Run test: | |
| ----------------------------------------------- | |
| N = 5, n = 1000000000, r = 0, Up = FALSE | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.39 | |
| p-value of test : 0.17 | |
| Kolmogorov-Smirnov- statistic = D- : 0.12 | |
| p-value of test : 0.80 | |
| Anderson-Darling statistic = A2 : 0.80 | |
| p-value of test : 0.47 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 30 | |
| Chi-square statistic : 23.52 | |
| p-value of test : 0.79 | |
| ----------------------------------------------- | |
| CPU time used : 00:24:32.01 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_Run test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000000, r = 15, Up = TRUE | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.32 | |
| p-value of test : 0.11 | |
| Kolmogorov-Smirnov- statistic = D- : 0.078 | |
| p-value of test : 0.85 | |
| Anderson-Darling statistic = A2 : 0.86 | |
| p-value of test : 0.44 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 60 | |
| Chi-square statistic : 48.36 | |
| p-value of test : 0.86 | |
| ----------------------------------------------- | |
| CPU time used : 00:51:30.66 | |
| Generator state: | |
| *********************************************************** | |
| Test sknuth_Permutation calling smultin_Multinomial | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_Multinomial test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000000, r = 5, t = 3, | |
| Sparse = FALSE | |
| GenerCell = smultin_GenerCellPermut | |
| Number of cells = t! = 6 | |
| Expected number per cell = 1.6666667e+08 | |
| Hashing = FALSE | |
| For Delta > -1, we use the ChiSquare approximation | |
| Correction factor of the ChiSquare: | |
| Delta = 1, Mu = 2.5000002e-09, Sigma = 1 | |
| ----------------------------------------------- | |
| Test Results for Delta = 1.0000 | |
| Number of degrees of freedom : 5 | |
| Value of the statistic : 1.34 | |
| p-value of test : 0.93 | |
| ----------------------------------------------- | |
| CPU time used : 00:16:30.83 | |
| Generator state: | |
| *********************************************************** | |
| Test sknuth_Permutation calling smultin_Multinomial | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_Multinomial test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000000, r = 5, t = 5, | |
| Sparse = FALSE | |
| GenerCell = smultin_GenerCellPermut | |
| Number of cells = t! = 120 | |
| Expected number per cell = 8333333.3 | |
| Hashing = FALSE | |
| For Delta > -1, we use the ChiSquare approximation | |
| Correction factor of the ChiSquare: | |
| Delta = 1, Mu = 5.9500005e-08, Sigma = 1 | |
| ----------------------------------------------- | |
| Test Results for Delta = 1.0000 | |
| Number of degrees of freedom : 119 | |
| Value of the statistic : 117.97 | |
| p-value of test : 0.51 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:47.12 | |
| Generator state: | |
| *********************************************************** | |
| Test sknuth_Permutation calling smultin_Multinomial | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_Multinomial test: | |
| ----------------------------------------------- | |
| N = 1, n = 500000000, r = 5, t = 7, | |
| Sparse = FALSE | |
| GenerCell = smultin_GenerCellPermut | |
| Number of cells = t! = 5040 | |
| Expected number per cell = 99206.349 | |
| Hashing = FALSE | |
| For Delta > -1, we use the ChiSquare approximation | |
| Correction factor of the ChiSquare: | |
| Delta = 1, Mu = 5.0390004e-06, Sigma = 1 | |
| ----------------------------------------------- | |
| Test Results for Delta = 1.0000 | |
| Number of degrees of freedom : 5039 | |
| Value of the statistic : 5042.37 | |
| p-value of test : 0.48 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:48.76 | |
| Generator state: | |
| *********************************************************** | |
| Test sknuth_Permutation calling smultin_Multinomial | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_Multinomial test: | |
| ----------------------------------------------- | |
| N = 1, n = 500000000, r = 10, t = 10, | |
| Sparse = FALSE | |
| GenerCell = smultin_GenerCellPermut | |
| Number of cells = t! = 3628800 | |
| Expected number per cell = 137.7866 | |
| Hashing = FALSE | |
| For Delta > -1, we use the ChiSquare approximation | |
| Correction factor of the ChiSquare: | |
| Delta = 1, Mu = 0.0036287993, Sigma = 1 | |
| ----------------------------------------------- | |
| Test Results for Delta = 1.0000 | |
| Number of degrees of freedom : 3628799 | |
| Value of the statistic : 3.63e+6 | |
| p-value of test : 0.82 | |
| ----------------------------------------------- | |
| CPU time used : 00:28:58.19 | |
| Generator state: | |
| *********************************************************** | |
| Test sknuth_CollisionPermut calling smultin_Multinomial | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_Multinomial test: | |
| ----------------------------------------------- | |
| N = 20, n = 20000000, r = 0, t = 14, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellPermut | |
| Number of cells = t! = 87178291200 | |
| Expected number per cell = 1 / 4358.9146 | |
| EColl = n^2 / (2k) = 2294.14912 | |
| Hashing = TRUE | |
| Collision test, Mu = 2293.9736, Sigma = 47.8841 | |
| ----------------------------------------------- | |
| Test Results for Collisions | |
| For the total number of collisions, we use | |
| the Poisson approximation: | |
| Expected number of collisions = N*Mu : 45879.47 | |
| Observed number of collisions : 45782 | |
| p-value of test : 0.67 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 1743165869782 | |
| j = 1 : 399908439 | |
| j = 2 : 45776 | |
| j = 3 : 3 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:34:25.70 | |
| Generator state: | |
| *********************************************************** | |
| Test sknuth_CollisionPermut calling smultin_Multinomial | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smultin_Multinomial test: | |
| ----------------------------------------------- | |
| N = 20, n = 20000000, r = 10, t = 14, | |
| Sparse = TRUE | |
| GenerCell = smultin_GenerCellPermut | |
| Number of cells = t! = 87178291200 | |
| Expected number per cell = 1 / 4358.9146 | |
| EColl = n^2 / (2k) = 2294.14912 | |
| Hashing = TRUE | |
| Collision test, Mu = 2293.9736, Sigma = 47.8841 | |
| ----------------------------------------------- | |
| Test Results for Collisions | |
| For the total number of collisions, we use | |
| the Poisson approximation: | |
| Expected number of collisions = N*Mu : 45879.47 | |
| Observed number of collisions : 46264 | |
| p-value of test : 0.04 | |
| ----------------------------- | |
| Total number of cells containing j balls | |
| j = 0 : 1743165870264 | |
| j = 1 : 399907477 | |
| j = 2 : 46254 | |
| j = 3 : 5 | |
| j = 4 : 0 | |
| j = 5 : 0 | |
| ----------------------------------------------- | |
| CPU time used : 00:34:32.80 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_MaxOft test: | |
| ----------------------------------------------- | |
| N = 40, n = 10000000, r = 0, d = 100000, t = 8 | |
| Number of categories = 100000 | |
| Expected number per category = 100.00 | |
| ----------------------------------------------- | |
| Test results for chi2 with 99999 degrees of freedom: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.13 | |
| p-value of test : 0.23 | |
| Kolmogorov-Smirnov- statistic = D- : 0.059 | |
| p-value of test : 0.73 | |
| Anderson-Darling statistic = A2 : 0.83 | |
| p-value of test : 0.46 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 3999960 | |
| Chi-square statistic : 4.00e+6 | |
| p-value of test : 0.84 | |
| ----------------------------------------------- | |
| Test results for Anderson-Darling: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.095 | |
| p-value of test : 0.46 | |
| Kolmogorov-Smirnov- statistic = D- : 0.13 | |
| p-value of test : 0.24 | |
| Anderson-Darling statistic = A2 : 0.68 | |
| p-value of test : 0.58 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:51.26 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_MaxOft test: | |
| ----------------------------------------------- | |
| N = 30, n = 10000000, r = 0, d = 100000, t = 16 | |
| Number of categories = 100000 | |
| Expected number per category = 100.00 | |
| ----------------------------------------------- | |
| Test results for chi2 with 99999 degrees of freedom: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.23 | |
| p-value of test : 0.04 | |
| Kolmogorov-Smirnov- statistic = D- : 0.050 | |
| p-value of test : 0.83 | |
| Anderson-Darling statistic = A2 : 2.14 | |
| p-value of test : 0.08 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 2999970 | |
| Chi-square statistic : 3.00e+6 | |
| p-value of test : 0.93 | |
| ----------------------------------------------- | |
| Test results for Anderson-Darling: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.18 | |
| p-value of test : 0.12 | |
| Kolmogorov-Smirnov- statistic = D- : 0.071 | |
| p-value of test : 0.70 | |
| Anderson-Darling statistic = A2 : 1.42 | |
| p-value of test : 0.20 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:18.68 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_MaxOft test: | |
| ----------------------------------------------- | |
| N = 20, n = 10000000, r = 0, d = 100000, t = 24 | |
| Number of categories = 100000 | |
| Expected number per category = 100.00 | |
| ----------------------------------------------- | |
| Test results for chi2 with 99999 degrees of freedom: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.10 | |
| p-value of test : 0.61 | |
| Kolmogorov-Smirnov- statistic = D- : 0.11 | |
| p-value of test : 0.56 | |
| Anderson-Darling statistic = A2 : 0.32 | |
| p-value of test : 0.93 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 1999980 | |
| Chi-square statistic : 2.00e+6 | |
| p-value of test : 0.43 | |
| ----------------------------------------------- | |
| Test results for Anderson-Darling: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.031 | |
| p-value of test : 0.95 | |
| Kolmogorov-Smirnov- statistic = D- : 0.23 | |
| p-value of test : 0.10 | |
| Anderson-Darling statistic = A2 : 1.02 | |
| p-value of test : 0.34 | |
| ----------------------------------------------- | |
| CPU time used : 00:26:43.66 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sknuth_MaxOft test: | |
| ----------------------------------------------- | |
| N = 20, n = 10000000, r = 0, d = 100000, t = 32 | |
| Number of categories = 100000 | |
| Expected number per category = 100.00 | |
| ----------------------------------------------- | |
| Test results for chi2 with 99999 degrees of freedom: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.11 | |
| p-value of test : 0.59 | |
| Kolmogorov-Smirnov- statistic = D- : 0.076 | |
| p-value of test : 0.76 | |
| Anderson-Darling statistic = A2 : 0.21 | |
| p-value of test : 0.99 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 1999980 | |
| Chi-square statistic : 2.00e+6 | |
| p-value of test : 0.40 | |
| ----------------------------------------------- | |
| Test results for Anderson-Darling: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.21 | |
| p-value of test : 0.15 | |
| Kolmogorov-Smirnov- statistic = D- : 0.032 | |
| p-value of test : 0.94 | |
| Anderson-Darling statistic = A2 : 1.38 | |
| p-value of test : 0.21 | |
| ----------------------------------------------- | |
| CPU time used : 00:40:43.99 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleProd test: | |
| ----------------------------------------------- | |
| N = 40, n = 10000000, r = 0, t = 8 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.21 | |
| p-value of test : 0.03 | |
| Kolmogorov-Smirnov- statistic = D- : 0.022 | |
| p-value of test : 0.95 | |
| Anderson-Darling statistic = A2 : 2.68 | |
| p-value of test : 0.04 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:04.75 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleProd test: | |
| ----------------------------------------------- | |
| N = 20, n = 10000000, r = 0, t = 16 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.062 | |
| p-value of test : 0.82 | |
| Kolmogorov-Smirnov- statistic = D- : 0.14 | |
| p-value of test : 0.40 | |
| Anderson-Darling statistic = A2 : 0.36 | |
| p-value of test : 0.89 | |
| ----------------------------------------------- | |
| CPU time used : 00:15:50.03 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleProd test: | |
| ----------------------------------------------- | |
| N = 20, n = 10000000, r = 0, t = 24 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.17 | |
| p-value of test : 0.29 | |
| Kolmogorov-Smirnov- statistic = D- : 0.12 | |
| p-value of test : 0.54 | |
| Anderson-Darling statistic = A2 : 0.91 | |
| p-value of test : 0.40 | |
| ----------------------------------------------- | |
| CPU time used : 00:23:29.02 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleMean test: | |
| ----------------------------------------------- | |
| N = 20000000, n = 30, r = 0 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 2.70e-4 | |
| p-value of test : 0.05 | |
| Kolmogorov-Smirnov- statistic = D- : 1.88e-4 | |
| p-value of test : 0.24 | |
| Anderson-Darling statistic = A2 : 2.24 | |
| p-value of test : 0.07 | |
| ----------------------------------------------- | |
| CPU time used : 00:03:15.41 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleMean test: | |
| ----------------------------------------------- | |
| N = 20000000, n = 30, r = 10 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 6.34e-5 | |
| p-value of test : 0.85 | |
| Kolmogorov-Smirnov- statistic = D- : 1.95e-4 | |
| p-value of test : 0.22 | |
| Anderson-Darling statistic = A2 : 0.51 | |
| p-value of test : 0.74 | |
| ----------------------------------------------- | |
| CPU time used : 00:03:13.39 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleCorr test: | |
| ----------------------------------------------- | |
| N = 1, n = 2000000000, r = 0, k = 1 | |
| ----------------------------------------------- | |
| Normal statistic : 0.13 | |
| p-value of test : 0.45 | |
| ----------------------------------------------- | |
| CPU time used : 00:09:36.75 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SampleCorr test: | |
| ----------------------------------------------- | |
| N = 1, n = 2000000000, r = 0, k = 2 | |
| ----------------------------------------------- | |
| Normal statistic : -0.64 | |
| p-value of test : 0.74 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:50.94 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_AppearanceSpacings test: | |
| ----------------------------------------------- | |
| N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15 | |
| Sequences of n = (K + Q)L = 15150000000 bits | |
| Q = 10000000 initialization blocks | |
| K = 1000000000 blocks for the test | |
| the blocks have L = 15 bits | |
| ----------------------------------------------- | |
| Normal statistic : 0.84 | |
| p-value of test : 0.20 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:40.50 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_AppearanceSpacings test: | |
| ----------------------------------------------- | |
| N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 | |
| Sequences of n = (K + Q)L = 15150000000 bits | |
| Q = 10000000 initialization blocks | |
| K = 1000000000 blocks for the test | |
| the blocks have L = 15 bits | |
| ----------------------------------------------- | |
| Normal statistic : 0.19 | |
| p-value of test : 0.42 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:32.85 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_WeightDistrib test: | |
| ----------------------------------------------- | |
| N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 67 | |
| Chi-square statistic : 60.93 | |
| p-value of test : 0.69 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:21.60 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_WeightDistrib test: | |
| ----------------------------------------------- | |
| N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 67 | |
| Chi-square statistic : 73.85 | |
| p-value of test : 0.26 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:13.13 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_WeightDistrib test: | |
| ----------------------------------------------- | |
| N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 67 | |
| Chi-square statistic : 68.21 | |
| p-value of test : 0.44 | |
| ----------------------------------------------- | |
| CPU time used : 00:26:44.86 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_WeightDistrib test: | |
| ----------------------------------------------- | |
| N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 37 | |
| Chi-square statistic : 31.35 | |
| p-value of test : 0.73 | |
| ----------------------------------------------- | |
| CPU time used : 00:28:06.74 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_WeightDistrib test: | |
| ----------------------------------------------- | |
| N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 37 | |
| Chi-square statistic : 39.74 | |
| p-value of test : 0.35 | |
| ----------------------------------------------- | |
| CPU time used : 00:30:43.38 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_WeightDistrib test: | |
| ----------------------------------------------- | |
| N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 37 | |
| Chi-square statistic : 38.75 | |
| p-value of test : 0.39 | |
| ----------------------------------------------- | |
| CPU time used : 00:30:52.41 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| svaria_SumCollector test: | |
| ----------------------------------------------- | |
| N = 1, n = 500000000, r = 0, g = 10 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 29 | |
| Chi-square statistic : 32.89 | |
| p-value of test : 0.28 | |
| ----------------------------------------------- | |
| CPU time used : 01:01:54.92 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_MatrixRank test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.35 | |
| p-value of test : 0.06 | |
| Kolmogorov-Smirnov- statistic = D- : 0.041 | |
| p-value of test : 0.94 | |
| Anderson-Darling statistic = A2 : 1.63 | |
| p-value of test : 0.15 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 40 | |
| Chi-square statistic : 26.70 | |
| p-value of test : 0.95 | |
| ----------------------------------------------- | |
| CPU time used : 00:11:11.25 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_MatrixRank test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.23 | |
| p-value of test : 0.30 | |
| Kolmogorov-Smirnov- statistic = D- : 0.076 | |
| p-value of test : 0.85 | |
| Anderson-Darling statistic = A2 : 0.75 | |
| p-value of test : 0.51 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 40 | |
| Chi-square statistic : 29.81 | |
| p-value of test : 0.88 | |
| ----------------------------------------------- | |
| CPU time used : 00:12:00.97 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_MatrixRank test: | |
| ----------------------------------------------- | |
| N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 3 | |
| Chi-square statistic : 1.01 | |
| p-value of test : 0.80 | |
| ----------------------------------------------- | |
| CPU time used : 00:09:46.13 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_MatrixRank test: | |
| ----------------------------------------------- | |
| N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 3 | |
| Chi-square statistic : 1.89 | |
| p-value of test : 0.60 | |
| ----------------------------------------------- | |
| CPU time used : 00:10:38.83 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_MatrixRank test: | |
| ----------------------------------------------- | |
| N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 2 | |
| Chi-square statistic : 0.17 | |
| p-value of test : 0.92 | |
| ----------------------------------------------- | |
| CPU time used : 00:03:54.13 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_MatrixRank test: | |
| ----------------------------------------------- | |
| N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 2 | |
| Chi-square statistic : 0.54 | |
| p-value of test : 0.76 | |
| ----------------------------------------------- | |
| CPU time used : 00:03:10.64 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_Savir2 test: | |
| ----------------------------------------------- | |
| N = 10, n = 10000000, r = 10, m = 1048576, t = 30 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.35 | |
| p-value of test : 0.07 | |
| Kolmogorov-Smirnov- statistic = D- : 0.039 | |
| p-value of test : 0.94 | |
| Anderson-Darling statistic = A2 : 2.35 | |
| p-value of test : 0.06 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 130 | |
| Chi-square statistic : 100.09 | |
| p-value of test : 0.98 | |
| ----------------------------------------------- | |
| CPU time used : 00:20:11.03 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| smarsa_GCD test: | |
| ----------------------------------------------- | |
| N = 10, n = 50000000, r = 0, s = 30 | |
| ----------------------------------------------- | |
| Test results for GCD values: | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.25 | |
| p-value of test : 0.26 | |
| Kolmogorov-Smirnov- statistic = D- : 0.16 | |
| p-value of test : 0.56 | |
| Anderson-Darling statistic = A2 : 0.79 | |
| p-value of test : 0.49 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 17430 | |
| Chi-square statistic :17299.11 | |
| p-value of test : 0.76 | |
| ----------------------------------------------- | |
| CPU time used : 00:09:12.67 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| swalk_RandomWalk1 test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic H | |
| Number of degrees of freedom : 36 | |
| ChiSquare statistic : 34.86 | |
| p-value of test : 0.52 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic M | |
| Number of degrees of freedom : 35 | |
| ChiSquare statistic : 38.24 | |
| p-value of test : 0.32 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic J | |
| Number of degrees of freedom : 25 | |
| ChiSquare statistic : 17.58 | |
| p-value of test : 0.86 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic R | |
| Number of degrees of freedom : 24 | |
| ChiSquare statistic : 28.08 | |
| p-value of test : 0.26 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic C | |
| Number of degrees of freedom : 17 | |
| ChiSquare statistic : 9.70 | |
| p-value of test : 0.92 | |
| ----------------------------------------------- | |
| CPU time used : 00:08:03.75 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| swalk_RandomWalk1 test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic H | |
| Number of degrees of freedom : 36 | |
| ChiSquare statistic : 40.40 | |
| p-value of test : 0.28 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic M | |
| Number of degrees of freedom : 35 | |
| ChiSquare statistic : 30.58 | |
| p-value of test : 0.68 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic J | |
| Number of degrees of freedom : 25 | |
| ChiSquare statistic : 10.57 | |
| p-value of test : 0.9948 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic R | |
| Number of degrees of freedom : 24 | |
| ChiSquare statistic : 15.61 | |
| p-value of test : 0.90 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic C | |
| Number of degrees of freedom : 17 | |
| ChiSquare statistic : 20.71 | |
| p-value of test : 0.24 | |
| ----------------------------------------------- | |
| CPU time used : 00:08:04.67 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| swalk_RandomWalk1 test: | |
| ----------------------------------------------- | |
| N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic H | |
| Number of degrees of freedom : 146 | |
| ChiSquare statistic : 153.82 | |
| p-value of test : 0.31 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic M | |
| Number of degrees of freedom : 146 | |
| ChiSquare statistic : 191.08 | |
| p-value of test : 7.2e-3 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic J | |
| Number of degrees of freedom : 500 | |
| ChiSquare statistic : 520.19 | |
| p-value of test : 0.26 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic R | |
| Number of degrees of freedom : 136 | |
| ChiSquare statistic : 117.94 | |
| p-value of test : 0.87 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic C | |
| Number of degrees of freedom : 74 | |
| ChiSquare statistic : 64.73 | |
| p-value of test : 0.77 | |
| ----------------------------------------------- | |
| CPU time used : 00:09:17.69 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| swalk_RandomWalk1 test: | |
| ----------------------------------------------- | |
| N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic H | |
| Number of degrees of freedom : 146 | |
| ChiSquare statistic : 155.73 | |
| p-value of test : 0.28 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic M | |
| Number of degrees of freedom : 146 | |
| ChiSquare statistic : 167.73 | |
| p-value of test : 0.11 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic J | |
| Number of degrees of freedom : 500 | |
| ChiSquare statistic : 534.09 | |
| p-value of test : 0.14 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic R | |
| Number of degrees of freedom : 136 | |
| ChiSquare statistic : 134.68 | |
| p-value of test : 0.52 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic C | |
| Number of degrees of freedom : 74 | |
| ChiSquare statistic : 72.57 | |
| p-value of test : 0.53 | |
| ----------------------------------------------- | |
| CPU time used : 00:07:30.66 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| swalk_RandomWalk1 test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic H | |
| Number of degrees of freedom : 384 | |
| ChiSquare statistic : 424.84 | |
| p-value of test : 0.07 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic M | |
| Number of degrees of freedom : 384 | |
| ChiSquare statistic : 420.68 | |
| p-value of test : 0.10 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic J | |
| Number of degrees of freedom : 5000 | |
| ChiSquare statistic : 5018.27 | |
| p-value of test : 0.42 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic R | |
| Number of degrees of freedom : 378 | |
| ChiSquare statistic : 407.51 | |
| p-value of test : 0.14 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic C | |
| Number of degrees of freedom : 200 | |
| ChiSquare statistic : 185.72 | |
| p-value of test : 0.76 | |
| ----------------------------------------------- | |
| CPU time used : 00:05:24.82 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| swalk_RandomWalk1 test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic H | |
| Number of degrees of freedom : 384 | |
| ChiSquare statistic : 393.59 | |
| p-value of test : 0.36 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic M | |
| Number of degrees of freedom : 384 | |
| ChiSquare statistic : 390.32 | |
| p-value of test : 0.40 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic J | |
| Number of degrees of freedom : 5000 | |
| ChiSquare statistic : 5057.35 | |
| p-value of test : 0.28 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic R | |
| Number of degrees of freedom : 378 | |
| ChiSquare statistic : 405.89 | |
| p-value of test : 0.16 | |
| ----------------------------------------------- | |
| Test on the values of the Statistic C | |
| Number of degrees of freedom : 200 | |
| ChiSquare statistic : 207.80 | |
| p-value of test : 0.34 | |
| ----------------------------------------------- | |
| CPU time used : 00:05:52.50 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| scomp_LinearComp test: | |
| ----------------------------------------------- | |
| N = 1, n = 400020, r = 0, s = 1 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 12 | |
| Chi2 statistic for size of jumps : 9.17 | |
| p-value of test : 0.69 | |
| ----------------------------------------------- | |
| Normal statistic for number of jumps : -0.46 | |
| p-value of test : 0.68 | |
| ----------------------------------------------- | |
| CPU time used : 00:03:18.64 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| scomp_LinearComp test: | |
| ----------------------------------------------- | |
| N = 1, n = 400020, r = 29, s = 1 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 12 | |
| Chi2 statistic for size of jumps : 12.48 | |
| p-value of test : 0.41 | |
| ----------------------------------------------- | |
| Normal statistic for number of jumps : -0.78 | |
| p-value of test : 0.78 | |
| ----------------------------------------------- | |
| CPU time used : 00:03:11.69 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| scomp_LempelZiv test: | |
| ----------------------------------------------- | |
| N = 10, n = 134217728, r = 0, s = 30, k = 27 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.17 | |
| p-value of test : 0.50 | |
| Kolmogorov-Smirnov- statistic = D- : 0.18 | |
| p-value of test : 0.47 | |
| Anderson-Darling statistic = A2 : 0.56 | |
| p-value of test : 0.68 | |
| Tests on the sum of all N observations | |
| Standardized normal statistic : -0.47 | |
| p-value of test : 0.68 | |
| Sample variance : 1.23 | |
| p-value of test : 0.27 | |
| ----------------------------------------------- | |
| CPU time used : 00:01:44.89 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| scomp_LempelZiv test: | |
| ----------------------------------------------- | |
| N = 10, n = 134217728, r = 15, s = 15, k = 27 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.11 | |
| p-value of test : 0.73 | |
| Kolmogorov-Smirnov- statistic = D- : 0.30 | |
| p-value of test : 0.13 | |
| Anderson-Darling statistic = A2 : 0.85 | |
| p-value of test : 0.44 | |
| Tests on the sum of all N observations | |
| Standardized normal statistic : 0.98 | |
| p-value of test : 0.16 | |
| Sample variance : 1.01 | |
| p-value of test : 0.43 | |
| ----------------------------------------------- | |
| CPU time used : 00:02:00.94 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sspectral_Fourier3 test: | |
| ----------------------------------------------- | |
| N = 100000, n = 16384, r = 0, s = 3, k = 14 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 5.17e-3 | |
| p-value of test : 0.80 | |
| Kolmogorov-Smirnov- statistic = D- : 0.011 | |
| p-value of test : 0.35 | |
| Anderson-Darling statistic = A2 : 0.44 | |
| p-value of test : 0.81 | |
| ----------------------------------------------- | |
| CPU time used : 00:04:10.38 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sspectral_Fourier3 test: | |
| ----------------------------------------------- | |
| N = 100000, n = 16384, r = 27, s = 3, k = 14 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.016 | |
| p-value of test : 0.13 | |
| Kolmogorov-Smirnov- statistic = D- : 5.55e-3 | |
| p-value of test : 0.77 | |
| Anderson-Darling statistic = A2 : 0.88 | |
| p-value of test : 0.43 | |
| ----------------------------------------------- | |
| CPU time used : 00:04:17.66 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_LongestHeadRun test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000, r = 0, s = 3, L = 10000020 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 8 | |
| Chi-square statistic : 5.91 | |
| p-value of test : 0.66 | |
| ----------------------------------------------- | |
| Global longest run of 1 : 33.00 | |
| p-value of test : 0.44 | |
| ----------------------------------------------- | |
| CPU time used : 00:21:51.07 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_LongestHeadRun test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000, r = 27, s = 3, L = 10000020 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 8 | |
| Chi-square statistic : 5.72 | |
| p-value of test : 0.68 | |
| ----------------------------------------------- | |
| Global longest run of 1 : 37.00 | |
| p-value of test : 0.04 | |
| ----------------------------------------------- | |
| CPU time used : 00:17:59.97 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_PeriodsInStrings test: | |
| ----------------------------------------------- | |
| N = 10, n = 500000000, r = 0, s = 10 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.054 | |
| p-value of test : 0.91 | |
| Kolmogorov-Smirnov- statistic = D- : 0.38 | |
| p-value of test : 0.04 | |
| Anderson-Darling statistic = A2 : 2.30 | |
| p-value of test : 0.06 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 200 | |
| Chi-square statistic : 236.42 | |
| p-value of test : 0.04 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:38.72 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_PeriodsInStrings test: | |
| ----------------------------------------------- | |
| N = 10, n = 500000000, r = 20, s = 10 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.15 | |
| p-value of test : 0.60 | |
| Kolmogorov-Smirnov- statistic = D- : 0.25 | |
| p-value of test : 0.23 | |
| Anderson-Darling statistic = A2 : 0.94 | |
| p-value of test : 0.39 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 200 | |
| Chi-square statistic : 204.24 | |
| p-value of test : 0.40 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:45.30 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingWeight2 test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.14 | |
| p-value of test : 0.60 | |
| Kolmogorov-Smirnov- statistic = D- : 0.17 | |
| p-value of test : 0.49 | |
| Anderson-Darling statistic = A2 : 0.34 | |
| p-value of test : 0.90 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 10000 | |
| Chi-square statistic :10035.63 | |
| p-value of test : 0.40 | |
| ----------------------------------------------- | |
| CPU time used : 00:17:17.32 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingWeight2 test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.33 | |
| p-value of test : 0.08 | |
| Kolmogorov-Smirnov- statistic = D- : 0.080 | |
| p-value of test : 0.84 | |
| Anderson-Darling statistic = A2 : 1.05 | |
| p-value of test : 0.33 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 10000 | |
| Chi-square statistic : 9834.91 | |
| p-value of test : 0.88 | |
| ----------------------------------------------- | |
| CPU time used : 00:17:21.60 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingCorr test: | |
| ----------------------------------------------- | |
| N = 1, n = 1000000000, r = 10, s = 10, L = 30 | |
| ----------------------------------------------- | |
| Normal statistic : -0.33 | |
| p-value of test : 0.63 | |
| ----------------------------------------------- | |
| CPU time used : 00:16:00.72 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingCorr test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 10, s = 10, L = 300 | |
| ----------------------------------------------- | |
| Normal statistic : 1.18 | |
| p-value of test : 0.12 | |
| ----------------------------------------------- | |
| CPU time used : 00:15:52.52 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingCorr test: | |
| ----------------------------------------------- | |
| N = 1, n = 100000000, r = 10, s = 10, L = 1200 | |
| ----------------------------------------------- | |
| Normal statistic : 1.11 | |
| p-value of test : 0.13 | |
| ----------------------------------------------- | |
| CPU time used : 01:03:29.92 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingIndep test: | |
| ----------------------------------------------- | |
| N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 | |
| Counters with expected numbers >= 10 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.16 | |
| p-value of test : 0.53 | |
| Kolmogorov-Smirnov- statistic = D- : 0.30 | |
| p-value of test : 0.13 | |
| Anderson-Darling statistic = A2 : 1.20 | |
| p-value of test : 0.26 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 4890 | |
| Chi-square statistic : 4953.87 | |
| p-value of test : 0.26 | |
| ----------------------------------------------- | |
| CPU time used : 00:31:25.30 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingIndep test: | |
| ----------------------------------------------- | |
| N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 | |
| Counters with expected numbers >= 10 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.12 | |
| p-value of test : 0.68 | |
| Kolmogorov-Smirnov- statistic = D- : 0.10 | |
| p-value of test : 0.75 | |
| Anderson-Darling statistic = A2 : 0.20 | |
| p-value of test : 0.9916 | |
| Test on the sum of all N observations | |
| Number of degrees of freedom : 4890 | |
| Chi-square statistic : 4923.81 | |
| p-value of test : 0.36 | |
| ----------------------------------------------- | |
| CPU time used : 00:31:51.53 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingIndep test: | |
| ----------------------------------------------- | |
| N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0 | |
| Counters with expected numbers >= 10 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 4117 | |
| Chi-square statistic : 4214.11 | |
| p-value of test : 0.14 | |
| ----------------------------------------------- | |
| CPU time used : 00:28:56.82 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingIndep test: | |
| ----------------------------------------------- | |
| N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0 | |
| Counters with expected numbers >= 10 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 4117 | |
| Chi-square statistic : 4187.28 | |
| p-value of test : 0.22 | |
| ----------------------------------------------- | |
| CPU time used : 00:27:26.27 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingIndep test: | |
| ----------------------------------------------- | |
| N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0 | |
| Counters with expected numbers >= 10 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 11825 | |
| Chi-square statistic :11460.40 | |
| p-value of test : 0.9916 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:46.02 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_HammingIndep test: | |
| ----------------------------------------------- | |
| N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0 | |
| Counters with expected numbers >= 10 | |
| ----------------------------------------------- | |
| Number of degrees of freedom : 11825 | |
| Chi-square statistic :11734.86 | |
| p-value of test : 0.72 | |
| ----------------------------------------------- | |
| CPU time used : 00:25:43.14 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_Run test: | |
| ----------------------------------------------- | |
| N = 1, n = 2000000000, r = 0, s = 3 | |
| ----------------------------------------------- | |
| Total number of 1 runs: 2000000000 | |
| Number of degrees of freedom : 54 | |
| Chi2 statistic for number of runs : 53.35 | |
| p-value of test : 0.50 | |
| ----------------------------------------------- | |
| Total number of bits: 8000006961 | |
| Normal statistic for number of bits : 0.055 | |
| p-value of test : 0.48 | |
| ----------------------------------------------- | |
| CPU time used : 00:14:48.86 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_Run test: | |
| ----------------------------------------------- | |
| N = 1, n = 2000000000, r = 27, s = 3 | |
| ----------------------------------------------- | |
| Total number of 1 runs: 2000000000 | |
| Number of degrees of freedom : 54 | |
| Chi2 statistic for number of runs : 72.53 | |
| p-value of test : 0.05 | |
| ----------------------------------------------- | |
| Total number of bits: 8000104938 | |
| Normal statistic for number of bits : 0.83 | |
| p-value of test : 0.20 | |
| ----------------------------------------------- | |
| CPU time used : 00:14:46.85 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_AutoCor test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000030, r = 0, s = 3, d = 1 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.23 | |
| p-value of test : 0.31 | |
| Kolmogorov-Smirnov- statistic = D- : 0.12 | |
| p-value of test : 0.69 | |
| Anderson-Darling statistic = A2 : 0.86 | |
| p-value of test : 0.44 | |
| Tests on the sum of all N observations | |
| Standardized normal statistic : -1.13 | |
| p-value of test : 0.87 | |
| Sample variance : 1.13 | |
| p-value of test : 0.34 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:42.75 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_AutoCor test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000029, r = 0, s = 3, d = 3 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.071 | |
| p-value of test : 0.87 | |
| Kolmogorov-Smirnov- statistic = D- : 0.30 | |
| p-value of test : 0.13 | |
| Anderson-Darling statistic = A2 : 1.29 | |
| p-value of test : 0.24 | |
| Tests on the sum of all N observations | |
| Standardized normal statistic : 1.36 | |
| p-value of test : 0.09 | |
| Sample variance : 1.42 | |
| p-value of test : 0.17 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:23.88 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_AutoCor test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000030, r = 27, s = 3, d = 1 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.45 | |
| p-value of test : 0.01 | |
| Kolmogorov-Smirnov- statistic = D- : 0.021 | |
| p-value of test : 0.98 | |
| Anderson-Darling statistic = A2 : 2.84 | |
| p-value of test : 0.03 | |
| Tests on the sum of all N observations | |
| Standardized normal statistic : -2.25 | |
| p-value of test : 0.99 | |
| Sample variance : 0.70 | |
| p-value of test : 0.71 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:53.33 | |
| Generator state: | |
| *********************************************************** | |
| HOST = tyl-thinkpad-t480, Linux | |
| Harmonoise | |
| sstring_AutoCor test: | |
| ----------------------------------------------- | |
| N = 10, n = 1000000029, r = 27, s = 3, d = 3 | |
| ----------------------------------------------- | |
| Kolmogorov-Smirnov+ statistic = D+ : 0.31 | |
| p-value of test : 0.12 | |
| Kolmogorov-Smirnov- statistic = D- : 0.029 | |
| p-value of test : 0.96 | |
| Anderson-Darling statistic = A2 : 1.58 | |
| p-value of test : 0.16 | |
| Tests on the sum of all N observations | |
| Standardized normal statistic : -1.63 | |
| p-value of test : 0.95 | |
| Sample variance : 0.64 | |
| p-value of test : 0.76 | |
| ----------------------------------------------- | |
| CPU time used : 00:19:36.89 | |
| Generator state: | |
| ========= Summary results of BigCrush ========= | |
| Version: TestU01 1.2.3 | |
| Generator: Harmonoise | |
| Number of statistics: 160 | |
| Total CPU time: 36:14:34.00 | |
| All tests were passed |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment