diff --git a/README.md b/README.md index b59c690..5bba224 100644 --- a/README.md +++ b/README.md @@ -152,6 +152,7 @@ bash ./build/entropy/runtests.sh - aesctr and aesdragontamer are random number generators based on the AES cipher (contributed by Samuel Neves). - wyhash64 is wyhash hashing function adapted as a random number generator. - wyrand and w1rand are random number generators based on the MUM hashing function, with w1rand being a slight modification. +- sirius64 is a 64-bit state, 64-bit output generator by Matteo Zapparoli: a golden-ratio Weyl sequence (as in splitmix64) with a multiply-xorshift-rotate output function. See [issue 30](https://github.com/lemire/testingRNG/issues/30). - jenkinssmall is Bob Jenkins' small PRNG. - CG64, CG128, and CG128_64 are counter-based generators producing 64-bit, 128-bit, and 128-bit outputs respectively. @@ -453,6 +454,7 @@ Results will depend on your specific hardware and might be quite different on AR | wyhash64 | :+1: | :+1: | 0.82 | 4.28 | | wyrand | :+1: | :+1: | 0.83 | 4.22 | | w1rand | | | 0.83 | 4.19 | +| sirius64 | :+1: | :+1: | | | | aesdragontamer | :+1: | :+1: | 0.88 | 3.97 | | lehmer64 | :+1: | :+1: | 1.13 | 3.10 | | xorshift1024plus | fails! | fails! | 1.13 | 3.10 | diff --git a/entropy/CMakeLists.txt b/entropy/CMakeLists.txt index 89c28ac..0ea6cf2 100644 --- a/entropy/CMakeLists.txt +++ b/entropy/CMakeLists.txt @@ -39,6 +39,7 @@ set(ENTROPY_TESTS testxorshift-k4 testxorshift-k5 testw1rand + testsirius64 ) # AES-based tests only on x86 diff --git a/practrand/CMakeLists.txt b/practrand/CMakeLists.txt index 0332ca9..32c36f2 100644 --- a/practrand/CMakeLists.txt +++ b/practrand/CMakeLists.txt @@ -42,6 +42,7 @@ set(PRACTRAND_TESTS testwyhash testwyrand testw1rand + testsirius64 ) # AES-based tests only on x86 diff --git a/practrand/results/testsirius64-H.log b/practrand/results/testsirius64-H.log new file mode 100644 index 0000000..5925973 --- /dev/null +++ b/practrand/results/testsirius64-H.log @@ -0,0 +1,48 @@ +RNG_test using PractRand version 0.93 +RNG = RNG_stdin64, seed = 0xa0315ad7 +test set = normal, folding = standard (64 bit) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 1 gigabyte (2^30 bytes), time= 3.6 seconds + no anomalies in 180 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 2 gigabytes (2^31 bytes), time= 7.3 seconds + no anomalies in 191 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 4 gigabytes (2^32 bytes), time= 14.4 seconds + no anomalies in 201 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 8 gigabytes (2^33 bytes), time= 29.0 seconds + Test Name Raw Processed Evaluation + [Low1/64]BCFN(2+1,13-3,T) R= -6.9 p =1-8.6e-4 unusual + ...and 211 test result(s) without anomalies + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 16 gigabytes (2^34 bytes), time= 58.3 seconds + no anomalies in 223 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 32 gigabytes (2^35 bytes), time= 116 seconds + Test Name Raw Processed Evaluation + [Low16/64]DC6-9x1Bytes-1 R= -4.9 p =1-3.7e-3 unusual + ...and 232 test result(s) without anomalies + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 64 gigabytes (2^36 bytes), time= 237 seconds + no anomalies in 244 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 128 gigabytes (2^37 bytes), time= 476 seconds + no anomalies in 255 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 256 gigabytes (2^38 bytes), time= 937 seconds + no anomalies in 265 test result(s) + +rng=RNG_stdin64, seed=0xa0315ad7 +length= 512 gigabytes (2^39 bytes), time= 1878 seconds + no anomalies in 276 test result(s) + diff --git a/practrand/results/testsirius64.log b/practrand/results/testsirius64.log new file mode 100644 index 0000000..d36bf2f --- /dev/null +++ b/practrand/results/testsirius64.log @@ -0,0 +1,50 @@ +RNG_test using PractRand version 0.93 +RNG = RNG_stdin64, seed = 0xc7faaf7 +test set = normal, folding = standard (64 bit) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 1 gigabyte (2^30 bytes), time= 3.6 seconds + no anomalies in 180 test result(s) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 2 gigabytes (2^31 bytes), time= 7.3 seconds + Test Name Raw Processed Evaluation + BCFN(2+2,13-1,T) R= -7.5 p =1-6.5e-4 unusual + ...and 190 test result(s) without anomalies + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 4 gigabytes (2^32 bytes), time= 14.5 seconds + Test Name Raw Processed Evaluation + [Low1/64]BCFN(2+0,13-3,T) R= -7.5 p =1-3.4e-4 unusual + ...and 200 test result(s) without anomalies + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 8 gigabytes (2^33 bytes), time= 29.1 seconds + no anomalies in 212 test result(s) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 16 gigabytes (2^34 bytes), time= 58.5 seconds + no anomalies in 223 test result(s) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 32 gigabytes (2^35 bytes), time= 116 seconds + Test Name Raw Processed Evaluation + [Low4/64]BCFN(2+0,13-0,T) R= +7.9 p = 9.3e-4 unusual + ...and 232 test result(s) without anomalies + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 64 gigabytes (2^36 bytes), time= 237 seconds + no anomalies in 244 test result(s) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 128 gigabytes (2^37 bytes), time= 476 seconds + no anomalies in 255 test result(s) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 256 gigabytes (2^38 bytes), time= 937 seconds + no anomalies in 265 test result(s) + +rng=RNG_stdin64, seed=0xc7faaf7 +length= 512 gigabytes (2^39 bytes), time= 1878 seconds + no anomalies in 276 test result(s) + diff --git a/practrand/runtests.sh b/practrand/runtests.sh index aa1df77..e17aa69 100755 --- a/practrand/runtests.sh +++ b/practrand/runtests.sh @@ -10,7 +10,7 @@ NC='\033[0m' # No Color echo "Testing "$MEM " of data per run" echo "Note: running the tests longer could expose new failures." -declare -a commands=('testmitchellmoore' 'testmersennetwister' 'testxorshift-k4' 'testxorshift-k5' 'testwidynski' 'testaesctr' 'testaesdragontamer' 'testv8xorshift128plus -H' 'testv8xorshift128plus' 'testxorshift128plus -H' 'testxorshift128plus' 'testxoroshiro128plus -H' 'testxoroshiro128plus' 'testpcg32' 'testpcg64 -H' 'testpcg64' 'testsplitmix64 -H' 'testsplitmix64' 'testxorshift32' 'testxorshift1024star' 'testxorshift1024star -H' 'testxorshift1024plus' 'testxorshift1024plus -H' 'testwyhash' 'testwyhash -H' 'testwyrand' 'testwyrand -H' 'testw1rand' 'testw1rand -H'); +declare -a commands=('testmitchellmoore' 'testmersennetwister' 'testxorshift-k4' 'testxorshift-k5' 'testwidynski' 'testaesctr' 'testaesdragontamer' 'testv8xorshift128plus -H' 'testv8xorshift128plus' 'testxorshift128plus -H' 'testxorshift128plus' 'testxoroshiro128plus -H' 'testxoroshiro128plus' 'testpcg32' 'testpcg64 -H' 'testpcg64' 'testsplitmix64 -H' 'testsplitmix64' 'testxorshift32' 'testxorshift1024star' 'testxorshift1024star -H' 'testxorshift1024plus' 'testxorshift1024plus -H' 'testwyhash' 'testwyhash -H' 'testwyrand' 'testwyrand -H' 'testw1rand' 'testw1rand -H' 'testsirius64' 'testsirius64 -H'); for t in "${commands[@]}"; do exe=$(echo $t | awk '{print $1}') if [ ! -x "./$exe" ]; then diff --git a/practrand/src/testsirius64.c b/practrand/src/testsirius64.c new file mode 100644 index 0000000..b7ef5da --- /dev/null +++ b/practrand/src/testsirius64.c @@ -0,0 +1,37 @@ +#include +#include +#include +#include + +#include "sirius64.h" + +#define buffer_size 512 +int main(int argc, char **argv) { + int c; + int castingtohigh32 = 0; + while ((c = getopt(argc, argv, "H")) != -1) + switch (c) { + case 'H': + castingtohigh32 = 1; + break; + default: + abort(); + } + uint64_t seedvalue = 12345678; + sirius64_seed(seedvalue); + if (castingtohigh32) { + uint32_t buffer[buffer_size]; + while (1) { + for (int k = 0; k < buffer_size; k++) + buffer[k] = (sirius64() >> 32); + fwrite((void *)buffer, sizeof(buffer), 1, stdout); + } + } else { + uint32_t buffer[buffer_size]; + while (1) { + for (int k = 0; k < buffer_size; k++) + buffer[k] = sirius64(); + fwrite((void *)buffer, sizeof(buffer), 1, stdout); + } + } +} diff --git a/source/sirius64.h b/source/sirius64.h new file mode 100644 index 0000000..863ac05 --- /dev/null +++ b/source/sirius64.h @@ -0,0 +1,33 @@ +#ifndef SIRIUS64_H +#define SIRIUS64_H + +// Sirius64: a 64-bit state, 64-bit output PRNG by Matteo Zapparoli. +// Adapted to this project from https://github.com/matteo65/Sirius64 +// (Apache-2.0). See also https://github.com/lemire/testingRNG/issues/30 +// +// The state is a Weyl sequence with the golden-ratio increment (as in +// splitmix64); the output function is a multiply-xorshift-rotate mix of the +// state that is not a bijection (it passes 64-bit collision tests). +#include + +#define SIRIUS64_GAMMA UINT64_C(0x9e3779b97f4a7c15) + +uint64_t sirius64_x; /* The state can be seeded with any value. */ + +// call sirius64_seed before calling sirius64 +static inline void sirius64_seed(uint64_t seed) { sirius64_x = seed; } + +static inline uint64_t sirius64_stateless(uint64_t *s) { + uint64_t z = (*s += SIRIUS64_GAMMA); + z = SIRIUS64_GAMMA * (z ^ (z >> 17)); + z = (z << 32) | (z >> 32); + return SIRIUS64_GAMMA * ((*s) ^ z ^ (z >> 17)); +} + +// returns random number, modifies sirius64_x +static inline uint64_t sirius64(void) { return sirius64_stateless(&sirius64_x); } + +// returns the 32 least significant bits of a call to sirius64 +static inline uint32_t sirius64_cast32(void) { return (uint32_t)sirius64(); } + +#endif // SIRIUS64_H diff --git a/speed/src/rng.cpp b/speed/src/rng.cpp index bc76703..1c7d25e 100644 --- a/speed/src/rng.cpp +++ b/speed/src/rng.cpp @@ -27,6 +27,7 @@ #include "wyhash.h" #include "wyrand.h" #include "w1rand.h" +#include "sirius64.h" #include "trivium32.h" #include "trivium64.h" #include "CG128.h" @@ -77,6 +78,7 @@ gen64_entry generators64[] = { {wyhash64, "wyhash64"}, {wyrand, "wyrand"}, {w1rand, "w1rand"}, + {sirius64, "sirius64"}, {jenkinssmall, "jenkinssmall"}, {CG64, "CG64"}, }; diff --git a/testu01/CMakeLists.txt b/testu01/CMakeLists.txt index 26c5d2f..b3aeff3 100644 --- a/testu01/CMakeLists.txt +++ b/testu01/CMakeLists.txt @@ -42,6 +42,7 @@ set(TESTU01_TESTS testwyhash testwyrand testw1rand + testsirius64 ) # AES-based tests only on x86 diff --git a/testu01/results/testsirius64-H-b.log b/testu01/results/testsirius64-H-b.log new file mode 100644 index 0000000..4638e55 --- /dev/null +++ b/testu01/results/testsirius64-H-b.log @@ -0,0 +1,3784 @@ +==seed: 12345678 +==sirius64 +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + Starting BigCrush + Version: TestU01 1.2.3 +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 0.96 + + +----------------------------------------------- +CPU time used : 00:00:13.14 + +Generator state: + + + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 0.15 + + +----------------------------------------------- +CPU time used : 00:00:14.12 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1363 +p-value of test : 0.51 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334483 + j = 1 : 599997274 + j = 2 : 1363 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:00:47.57 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1347 +p-value of test : 0.67 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:00:49.29 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1328 +p-value of test : 0.83 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334448 + j = 1 : 599997344 + j = 2 : 1328 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:03.38 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1367 +p-value of test : 0.47 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334487 + j = 1 : 599997266 + j = 2 : 1367 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:05.49 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1279 +p-value of test : 0.99 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334399 + j = 1 : 599997442 + j = 2 : 1279 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:05.32 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 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 : 00:01:07.12 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1352 +p-value of test : 0.62 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334472 + j = 1 : 599997296 + j = 2 : 1352 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:04.72 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1331 +p-value of test : 0.81 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334451 + j = 1 : 599997338 + j = 2 : 1331 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:06.44 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1459 +p-value of test : 5.7e-3 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334579 + j = 1 : 599997082 + j = 2 : 1459 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:03.88 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 1377 +p-value of test : 0.37 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334497 + j = 1 : 599997246 + j = 2 : 1377 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:05.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 5463 +p-value of test : 0.29 + + +----------------------------------------------- +CPU time used : 00:02:15.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 4393 +p-value of test : 0.20 + + +----------------------------------------------- +CPU time used : 00:00:57.02 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 7504 +p-value of test : 0.02 + + +----------------------------------------------- +CPU time used : 00:01:28.74 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 4389 +p-value of test : 0.22 + + +----------------------------------------------- +CPU time used : 00:01:00.77 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 4401 +p-value of test : 0.17 + + +----------------------------------------------- +CPU time used : 00:01:00.58 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 7244 +p-value of test : 0.81 + + +----------------------------------------------- +CPU time used : 00:01:34.36 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 7262 +p-value of test : 0.74 + + +----------------------------------------------- +CPU time used : 00:01:34.02 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 7341 +p-value of test : 0.40 + + +----------------------------------------------- +CPU time used : 00:01:45.71 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 7458 +p-value of test : 0.05 + + +----------------------------------------------- +CPU time used : 00:01:45.78 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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) : 1.94 +p-value of test : 0.10 + + +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) : 2.55 +p-value of test : 0.05 + +Test on the Nm values of W_{n,i}(mNP1): 0.43 +p-value of test : 0.81 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 932 +p-value of test : 0.15 + +Stat. AD (mNP2) : 0.55 +p-value of test : 0.70 + +Stat. AD after spacings (mNP2-S) : 1.85 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:46.35 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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) : 0.39 +p-value of test : 0.85 + + +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): 0.75 +p-value of test : 0.52 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 591 +p-value of test : 0.63 + +Stat. AD (mNP2) : 0.28 +p-value of test : 0.96 + +Stat. AD after spacings (mNP2-S) : 0.47 +p-value of test : 0.77 + +----------------------------------------------- +CPU time used : 00:00:33.39 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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) : 0.67 +p-value of test : 0.58 + + +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) : 0.36 +p-value of test : 0.89 + +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 : 285 +p-value of test : 0.80 + +Stat. AD (mNP2) : 0.38 +p-value of test : 0.86 + +Stat. AD after spacings (mNP2-S) : 0.67 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:01:04.33 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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) : 0.48 +p-value of test : 0.76 + + +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) : 0.31 +p-value of test : 0.93 + +Test on the Nm values of W_{n,i}(mNP1): 0.66 +p-value of test : 0.59 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y : 161 +p-value of test : 0.19 + +Stat. AD (mNP2) : 0.25 +p-value of test : 0.97 + +Stat. AD after spacings (mNP2-S) : 1.64 +p-value of test : 0.15 + +----------------------------------------------- +CPU time used : 00:01:27.88 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 0, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 7.22 +p-value of test : 0.41 + +----------------------------------------------- +CPU time used : 00:00:22.83 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 27, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 5.63 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:00:25.67 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 24.59 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:00:24.44 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 18.85 +p-value of test : 0.40 + +----------------------------------------------- +CPU time used : 00:00:28.33 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 0, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 40.65 +p-value of test : 0.91 + +----------------------------------------------- +CPU time used : 00:00:27.31 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 10, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 51.90 +p-value of test : 0.56 + +----------------------------------------------- +CPU time used : 00:00:31.83 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 20, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 45.45 +p-value of test : 0.79 + +----------------------------------------------- +CPU time used : 00:00:31.08 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 27, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 71.59 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:00:31.09 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 232 +Chi-square statistic : 236.79 +p-value of test : 0.40 + +----------------------------------------------- +CPU time used : 00:00:21.66 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 + + +----------------------------------------------- +Number of degrees of freedom : 434 +Chi-square statistic : 476.78 +p-value of test : 0.08 + +----------------------------------------------- +CPU time used : 00:00:24.03 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 + + +----------------------------------------------- +Number of degrees of freedom : 1437 +Chi-square statistic : 1500.86 +p-value of test : 0.12 + +----------------------------------------------- +CPU time used : 00:00:26.93 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 + + +----------------------------------------------- +Number of degrees of freedom : 7046 +Chi-square statistic : 6851.27 +p-value of test : 0.95 + +----------------------------------------------- +CPU time used : 00:00:20.79 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.55 + +Kolmogorov-Smirnov- statistic = D- : 0.26 +p-value of test : 0.44 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.83 + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 28.04 +p-value of test : 0.57 + +----------------------------------------------- +CPU time used : 00:00:29.95 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.38 + +Kolmogorov-Smirnov- statistic = D- : 0.057 +p-value of test : 0.91 + +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.79 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 53.70 +p-value of test : 0.70 + +----------------------------------------------- +CPU time used : 00:01:20.38 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 3.49 +p-value of test : 0.62 + + +----------------------------------------------- +CPU time used : 00:00:10.11 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 98.28 +p-value of test : 0.92 + + +----------------------------------------------- +CPU time used : 00:00:35.98 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 4975.75 +p-value of test : 0.73 + + +----------------------------------------------- +CPU time used : 00:00:33.53 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 0.13 + + +----------------------------------------------- +CPU time used : 00:01:23.42 + +Generator state: + + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 45892 +p-value of test : 0.48 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165869892 + j = 1 : 399908219 + j = 2 : 45886 + j = 3 : 3 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:03:01.51 + +Generator state: + + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 46350 +p-value of test : 0.01 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165870350 + j = 1 : 399907304 + j = 2 : 46342 + j = 3 : 4 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:03:09.17 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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+ : 0.073 +p-value of test : 0.62 + +Kolmogorov-Smirnov- statistic = D- : 0.090 +p-value of test : 0.49 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.54 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.09 + +Kolmogorov-Smirnov- statistic = D- : 0.11 +p-value of test : 0.35 + +Anderson-Darling statistic = A2 : 1.33 +p-value of test : 0.22 + + +----------------------------------------------- +CPU time used : 00:00:42.80 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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+ : 0.033 +p-value of test : 0.92 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.15 + +Anderson-Darling statistic = A2 : 0.87 +p-value of test : 0.43 + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.00e+6 +p-value of test : 0.15 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.029 +p-value of test : 0.93 + +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.04 + +Anderson-Darling statistic = A2 : 1.64 +p-value of test : 0.15 + + +----------------------------------------------- +CPU time used : 00:00:37.48 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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+ : 0.13 +p-value of test : 0.44 + +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.34 + +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.58 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.39 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.051 +p-value of test : 0.87 + +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.08 + +Anderson-Darling statistic = A2 : 1.32 +p-value of test : 0.22 + + +----------------------------------------------- +CPU time used : 00:00:28.53 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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+ : 0.10 +p-value of test : 0.61 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.37 + +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.66 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.36 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.14 + +Kolmogorov-Smirnov- statistic = D- : 0.024 +p-value of test : 0.96 + +Anderson-Darling statistic = A2 : 1.09 +p-value of test : 0.31 + + +----------------------------------------------- +CPU time used : 00:00:31.80 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.022 +p-value of test : 0.95 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.23 + +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.33 + +----------------------------------------------- +CPU time used : 00:00:40.67 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.039 +p-value of test : 0.92 + +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.17 + +Anderson-Darling statistic = A2 : 1.64 +p-value of test : 0.15 + +----------------------------------------------- +CPU time used : 00:00:24.71 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.25 +p-value of test : 0.07 + +Kolmogorov-Smirnov- statistic = D- : 0.053 +p-value of test : 0.86 + +Anderson-Darling statistic = A2 : 2.31 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:00:29.86 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 1.18e-4 +p-value of test : 0.57 + +Kolmogorov-Smirnov- statistic = D- : 5.77e-5 +p-value of test : 0.88 + +Anderson-Darling statistic = A2 : 0.24 +p-value of test : 0.98 + +----------------------------------------------- +CPU time used : 00:00:04.44 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 6.33e-5 +p-value of test : 0.85 + +Kolmogorov-Smirnov- statistic = D- : 1.46e-4 +p-value of test : 0.43 + +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:00:04.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : -1.13 +p-value of test : 0.87 + +----------------------------------------------- +CPU time used : 00:00:06.05 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : 0.54 +p-value of test : 0.29 + +----------------------------------------------- +CPU time used : 00:00:06.07 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : -0.88 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:13.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 2.22 +p-value of test : 0.01 + +----------------------------------------------- +CPU time used : 00:00:13.44 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 67.61 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:00:10.38 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 69.10 +p-value of test : 0.41 + +----------------------------------------------- +CPU time used : 00:00:10.42 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 62.67 +p-value of test : 0.63 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 47.56 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:10.38 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 37.95 +p-value of test : 0.43 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 36.01 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:00:10.38 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +svaria_SumCollector test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, g = 10 + + +----------------------------------------------- +Number of degrees of freedom : 29 +Chi-square statistic : 46.43 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:00:26.42 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.038 +p-value of test : 0.95 + +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.11 + +Anderson-Darling statistic = A2 : 1.73 +p-value of test : 0.13 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 61.53 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:00:26.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.20 +p-value of test : 0.39 + +Kolmogorov-Smirnov- statistic = D- : 0.076 +p-value of test : 0.85 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.84 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 33.61 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:00:26.21 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 9.23 +p-value of test : 0.03 + +----------------------------------------------- +CPU time used : 00:00:31.01 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 2.67 +p-value of test : 0.44 + +----------------------------------------------- +CPU time used : 00:00:30.90 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 2.35 +p-value of test : 0.31 + +----------------------------------------------- +CPU time used : 00:00:25.57 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 1.72 +p-value of test : 0.42 + +----------------------------------------------- +CPU time used : 00:00:22.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_Savir2 test: +----------------------------------------------- + N = 10, n = 10000000, r = 10, m = 1048576, t = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.093 +p-value of test : 0.79 + +Kolmogorov-Smirnov- statistic = D- : 0.15 +p-value of test : 0.57 + +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 133.75 +p-value of test : 0.39 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +smarsa_GCD test: +----------------------------------------------- + N = 10, n = 50000000, r = 0, s = 30 + + +----------------------------------------------- +Test results for GCD values: + +Kolmogorov-Smirnov+ statistic = D+ : 0.056 +p-value of test : 0.91 + +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.30 + +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 : 17430 +Chi-square statistic :17674.24 +p-value of test : 0.10 + + + +----------------------------------------------- +CPU time used : 00:00:32.21 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 42.27 +p-value of test : 0.22 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 36.88 +p-value of test : 0.38 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 20.96 +p-value of test : 0.69 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 14.16 +p-value of test : 0.94 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 15.47 +p-value of test : 0.56 + + +----------------------------------------------- +CPU time used : 00:00:17.34 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 39.50 +p-value of test : 0.32 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 37.63 +p-value of test : 0.35 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 21.45 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 19.94 +p-value of test : 0.70 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 20.93 +p-value of test : 0.23 + + +----------------------------------------------- +CPU time used : 00:00:17.32 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 184.60 +p-value of test : 0.02 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 179.28 +p-value of test : 0.03 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 485.57 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 142.51 +p-value of test : 0.33 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 82.45 +p-value of test : 0.23 + + +----------------------------------------------- +CPU time used : 00:00:21.73 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 141.42 +p-value of test : 0.59 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 154.69 +p-value of test : 0.30 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 496.59 +p-value of test : 0.53 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 151.25 +p-value of test : 0.18 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 73.63 +p-value of test : 0.49 + + +----------------------------------------------- +CPU time used : 00:00:21.69 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 365.61 +p-value of test : 0.74 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 371.56 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5047.62 +p-value of test : 0.32 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 393.04 +p-value of test : 0.29 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 191.50 +p-value of test : 0.65 + + +----------------------------------------------- +CPU time used : 00:00:19.26 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 381.17 +p-value of test : 0.53 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 386.44 +p-value of test : 0.46 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4961.80 +p-value of test : 0.65 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 384.10 +p-value of test : 0.40 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 182.45 +p-value of test : 0.81 + + +----------------------------------------------- +CPU time used : 00:00:19.15 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 0, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 14.82 +p-value of test : 0.25 + + +----------------------------------------------- +Normal statistic for number of jumps : -0.44 +p-value of test : 0.67 + + + +----------------------------------------------- +CPU time used : 00:01:08.55 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 29, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 19.54 +p-value of test : 0.08 + + +----------------------------------------------- +Normal statistic for number of jumps : 1.21 +p-value of test : 0.11 + + + +----------------------------------------------- +CPU time used : 00:01:08.76 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 0, s = 30, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.033 +p-value of test : 0.96 + +Kolmogorov-Smirnov- statistic = D- : 0.39 +p-value of test : 0.04 + +Anderson-Darling statistic = A2 : 2.12 +p-value of test : 0.08 + +Tests on the sum of all N observations +Standardized normal statistic : 1.81 +p-value of test : 0.03 + +Sample variance : 0.74 +p-value of test : 0.67 + +----------------------------------------------- +CPU time used : 00:00:27.88 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 15, s = 15, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.044 +p-value of test : 0.93 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.25 + +Anderson-Darling statistic = A2 : 1.04 +p-value of test : 0.34 + +Tests on the sum of all N observations +Standardized normal statistic : 1.21 +p-value of test : 0.11 + +Sample variance : 0.97 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:00:26.51 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 0, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 6.49e-3 +p-value of test : 0.70 + +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.22 + +Anderson-Darling statistic = A2 : 1.26 +p-value of test : 0.25 + +----------------------------------------------- +CPU time used : 00:00:05.57 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 27, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 3.45e-3 +p-value of test : 0.91 + +Kolmogorov-Smirnov- statistic = D- : 0.017 +p-value of test : 0.08 + +Anderson-Darling statistic = A2 : 1.89 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:05.61 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 0, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 5.56 +p-value of test : 0.70 + +----------------------------------------------- +Global longest run of 1 : 30.00 +p-value of test : 0.90 + + + +----------------------------------------------- +CPU time used : 00:00:19.67 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 27, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 4.02 +p-value of test : 0.86 + +----------------------------------------------- +Global longest run of 1 : 35.00 +p-value of test : 0.14 + + + +----------------------------------------------- +CPU time used : 00:00:19.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.19 + +Kolmogorov-Smirnov- statistic = D- : 0.059 +p-value of test : 0.90 + +Anderson-Darling statistic = A2 : 0.96 +p-value of test : 0.38 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 177.25 +p-value of test : 0.87 + +----------------------------------------------- +CPU time used : 00:01:05.11 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.31 +p-value of test : 0.13 + +Kolmogorov-Smirnov- statistic = D- : 0.030 +p-value of test : 0.96 + +Anderson-Darling statistic = A2 : 1.78 +p-value of test : 0.12 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 166.35 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:01:05.42 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.059 +p-value of test : 0.90 + +Kolmogorov-Smirnov- statistic = D- : 0.22 +p-value of test : 0.32 + +Anderson-Darling statistic = A2 : 0.68 +p-value of test : 0.57 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :10130.19 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:00:06.71 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.36 +p-value of test : 0.06 + +Kolmogorov-Smirnov- statistic = D- : 0.14 +p-value of test : 0.64 + +Anderson-Darling statistic = A2 : 1.26 +p-value of test : 0.24 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic : 9868.65 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:00:06.73 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : 0.40 +p-value of test : 0.34 + +----------------------------------------------- +CPU time used : 00:00:06.92 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : 0.22 +p-value of test : 0.41 + +----------------------------------------------- +CPU time used : 00:00:06.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : -0.87 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:24.65 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.24 +p-value of test : 0.27 + +Kolmogorov-Smirnov- statistic = D- : 0.072 +p-value of test : 0.86 + +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.59 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4804.49 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:14.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.065 +p-value of test : 0.89 + +Kolmogorov-Smirnov- statistic = D- : 0.24 +p-value of test : 0.28 + +Anderson-Darling statistic = A2 : 0.72 +p-value of test : 0.54 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 4980.28 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:00:14.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 4053.59 +p-value of test : 0.76 + +----------------------------------------------- +CPU time used : 00:00:09.48 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 4261.08 +p-value of test : 0.06 + +----------------------------------------------- +CPU time used : 00:00:09.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 :11553.84 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:00:09.80 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 :11688.07 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:09.82 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 60.93 +p-value of test : 0.24 + + +----------------------------------------------- +Total number of bits: 8000004876 + +Normal statistic for number of bits : 0.039 +p-value of test : 0.48 + + + +----------------------------------------------- +CPU time used : 00:00:34.34 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +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 : 73.40 +p-value of test : 0.04 + + +----------------------------------------------- +Total number of bits: 8000162835 + +Normal statistic for number of bits : 1.29 +p-value of test : 0.10 + + + +----------------------------------------------- +CPU time used : 00:00:34.98 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000030, r = 0, s = 3, d = 1 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.53 + +Kolmogorov-Smirnov- statistic = D- : 0.079 +p-value of test : 0.84 + +Anderson-Darling statistic = A2 : 0.47 +p-value of test : 0.78 + +Tests on the sum of all N observations +Standardized normal statistic : -0.59 +p-value of test : 0.72 + +Sample variance : 1.36 +p-value of test : 0.20 + +----------------------------------------------- +CPU time used : 00:00:32.03 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000029, r = 0, s = 3, d = 3 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.16 +p-value of test : 0.55 + +Kolmogorov-Smirnov- statistic = D- : 0.20 +p-value of test : 0.39 + +Anderson-Darling statistic = A2 : 0.65 +p-value of test : 0.59 + +Tests on the sum of all N observations +Standardized normal statistic : 0.42 +p-value of test : 0.34 + +Sample variance : 0.38 +p-value of test : 0.94 + +----------------------------------------------- +CPU time used : 00:00:15.75 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000030, r = 27, s = 3, d = 1 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.66 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.67 + +Anderson-Darling statistic = A2 : 0.29 +p-value of test : 0.95 + +Tests on the sum of all N observations +Standardized normal statistic : -0.13 +p-value of test : 0.55 + +Sample variance : 0.57 +p-value of test : 0.82 + +----------------------------------------------- +CPU time used : 00:00:31.75 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 msb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000029, r = 27, s = 3, d = 3 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.049 +p-value of test : 0.92 + +Kolmogorov-Smirnov- statistic = D- : 0.27 +p-value of test : 0.19 + +Anderson-Darling statistic = A2 : 1.07 +p-value of test : 0.32 + +Tests on the sum of all N observations +Standardized normal statistic : 1.20 +p-value of test : 0.12 + +Sample variance : 1.12 +p-value of test : 0.35 + +----------------------------------------------- +CPU time used : 00:00:15.67 + +Generator state: + + + + + +========= Summary results of BigCrush ========= + + Version: TestU01 1.2.3 + Generator: sirius64 msb 32-bits + Number of statistics: 160 + Total CPU time: 01:06:29.69 + + All tests were passed + + + diff --git a/testu01/results/testsirius64-b.log b/testu01/results/testsirius64-b.log new file mode 100644 index 0000000..6fad672 --- /dev/null +++ b/testu01/results/testsirius64-b.log @@ -0,0 +1,3791 @@ +==seed: 12345678 +==sirius64 +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + Starting BigCrush + Version: TestU01 1.2.3 +xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 0.54 + + +----------------------------------------------- +CPU time used : 00:00:12.55 + +Generator state: + + + + +*********************************************************** +Test smarsa_SerialOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 0.77 + + +----------------------------------------------- +CPU time used : 00:00:13.21 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1409 +p-value of test : 0.12 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334529 + j = 1 : 599997182 + j = 2 : 1409 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:00:47.34 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1366 +p-value of test : 0.48 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334486 + j = 1 : 599997268 + j = 2 : 1366 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:00:48.98 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1389 +p-value of test : 0.25 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334509 + j = 1 : 599997222 + j = 2 : 1389 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:03.24 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1299 +p-value of test : 0.96 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334419 + j = 1 : 599997402 + j = 2 : 1299 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:05.13 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1362 +p-value of test : 0.52 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334482 + j = 1 : 599997276 + j = 2 : 1362 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:04.97 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1313 +p-value of test : 0.92 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334433 + j = 1 : 599997374 + j = 2 : 1313 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:07.10 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1396 +p-value of test : 0.20 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334516 + j = 1 : 599997208 + j = 2 : 1396 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:04.35 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1280 +p-value of test : 0.99 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334400 + j = 1 : 599997440 + j = 2 : 1280 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:06.44 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1347 +p-value of test : 0.67 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334467 + j = 1 : 599997306 + j = 2 : 1347 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:03.92 + +Generator state: + + + + +*********************************************************** +Test smarsa_CollisionOver calling smultin_MultinomialOver + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 1381 +p-value of test : 0.33 + +----------------------------- +Total number of cells containing j balls + + j = 0 : 131940795334501 + j = 1 : 599997238 + j = 2 : 1381 + j = 3 : 0 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:01:05.48 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 5331 +p-value of test : 0.89 + + +----------------------------------------------- +CPU time used : 00:02:15.24 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 4237 +p-value of test : 0.93 + + +----------------------------------------------- +CPU time used : 00:00:56.84 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 7405 +p-value of test : 0.16 + + +----------------------------------------------- +CPU time used : 00:01:29.12 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 4271 +p-value of test : 0.84 + + +----------------------------------------------- +CPU time used : 00:01:01.04 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 4389 +p-value of test : 0.22 + + +----------------------------------------------- +CPU time used : 00:01:00.77 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 7451 +p-value of test : 0.06 + + +----------------------------------------------- +CPU time used : 00:01:34.74 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 7303 +p-value of test : 0.57 + + +----------------------------------------------- +CPU time used : 00:01:34.25 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 7131 +p-value of test : 0.99 + + +----------------------------------------------- +CPU time used : 00:01:45.95 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 7347 +p-value of test : 0.37 + + +----------------------------------------------- +CPU time used : 00:01:46.15 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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) : 0.60 +p-value of test : 0.65 + + +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) : 0.92 +p-value of test : 0.40 + +Test on the Nm values of W_{n,i}(mNP1): 0.54 +p-value of test : 0.71 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 900 +Number of jumps of Y : 902 +p-value of test : 0.48 + +Stat. AD (mNP2) : 0.25 +p-value of test : 0.97 + +Stat. AD after spacings (mNP2-S) : 1.09 +p-value of test : 0.31 + +----------------------------------------------- +CPU time used : 00:00:46.35 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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) : 0.61 +p-value of test : 0.63 + + +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) : 0.85 +p-value of test : 0.45 + +Test on the Nm values of W_{n,i}(mNP1): 0.33 +p-value of test : 0.91 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 600 +Number of jumps of Y : 592 +p-value of test : 0.62 + +Stat. AD (mNP2) : 1.09 +p-value of test : 0.31 + +Stat. AD after spacings (mNP2-S) : 4.44 +p-value of test : 5.3e-3 + +----------------------------------------------- +CPU time used : 00:00:33.36 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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) : 0.36 +p-value of test : 0.88 + + +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) : 1.06 +p-value of test : 0.33 + +Test on the Nm values of W_{n,i}(mNP1): 1.43 +p-value of test : 0.19 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 300 +Number of jumps of Y : 281 +p-value of test : 0.86 + +Stat. AD (mNP2) : 0.50 +p-value of test : 0.75 + +Stat. AD after spacings (mNP2-S) : 0.35 +p-value of test : 0.90 + +----------------------------------------------- +CPU time used : 00:01:04.49 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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) : 0.80 +p-value of test : 0.47 + + +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) : 0.77 +p-value of test : 0.50 + +Test on the Nm values of W_{n,i}(mNP1): 0.64 +p-value of test : 0.61 + +Test on the jump times of Y + (superposition of Yn): + +Expected number of jumps of Y = mN : 150 +Number of jumps of Y : 149 +p-value of test : 0.51 + +Stat. AD (mNP2) : 1.84 +p-value of test : 0.11 + +Stat. AD after spacings (mNP2-S) : 1.64 +p-value of test : 0.15 + +----------------------------------------------- +CPU time used : 00:01:28.14 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 0, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 14.20 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:00:22.39 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 400000000, r = 27, d = 8, k = 8 + + +----------------------------------------------- +Number of degrees of freedom : 7 +Chi-square statistic : 7.41 +p-value of test : 0.39 + +----------------------------------------------- +CPU time used : 00:00:25.17 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 25.52 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:23.91 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_SimpPoker test: +----------------------------------------------- + N = 1, n = 100000000, r = 25, d = 32, k = 32 + + +----------------------------------------------- +Number of degrees of freedom : 18 +Chi-square statistic : 25.70 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:27.80 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 0, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 65.39 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:00:26.82 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 10, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 36.11 +p-value of test : 0.97 + +----------------------------------------------- +CPU time used : 00:00:31.41 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 20, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 51.47 +p-value of test : 0.57 + +----------------------------------------------- +CPU time used : 00:00:30.57 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_CouponCollector test: +----------------------------------------------- + N = 1, n = 200000000, r = 27, d = 8 + + +----------------------------------------------- +Number of degrees of freedom : 54 +Chi-square statistic : 92.61 +p-value of test : 8.4e-4 ***** + +----------------------------------------------- +CPU time used : 00:00:30.57 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 + + +----------------------------------------------- +Number of degrees of freedom : 232 +Chi-square statistic : 217.34 +p-value of test : 0.75 + +----------------------------------------------- +CPU time used : 00:00:21.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 + + +----------------------------------------------- +Number of degrees of freedom : 434 +Chi-square statistic : 495.84 +p-value of test : 0.02 + +----------------------------------------------- +CPU time used : 00:00:23.86 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 + + +----------------------------------------------- +Number of degrees of freedom : 1437 +Chi-square statistic : 1441.67 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:00:26.86 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_Gap test: +----------------------------------------------- + N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 + + +----------------------------------------------- +Number of degrees of freedom : 7046 +Chi-square statistic : 6915.69 +p-value of test : 0.86 + +----------------------------------------------- +CPU time used : 00:00:20.81 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_Run test: +----------------------------------------------- + N = 5, n = 1000000000, r = 0, Up = FALSE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.83 + +Kolmogorov-Smirnov- statistic = D- : 0.13 +p-value of test : 0.79 + +Anderson-Darling statistic = A2 : 0.14 +p-value of test : 0.9990 ***** + +Test on the sum of all N observations +Number of degrees of freedom : 30 +Chi-square statistic : 30.11 +p-value of test : 0.46 + +----------------------------------------------- +CPU time used : 00:00:29.15 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sknuth_Run test: +----------------------------------------------- + N = 10, n = 1000000000, r = 15, Up = TRUE + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.66 + +Kolmogorov-Smirnov- statistic = D- : 0.19 +p-value of test : 0.44 + +Anderson-Darling statistic = A2 : 0.39 +p-value of test : 0.86 + +Test on the sum of all N observations +Number of degrees of freedom : 60 +Chi-square statistic : 58.29 +p-value of test : 0.54 + +----------------------------------------------- +CPU time used : 00:01:18.84 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 10.76 +p-value of test : 0.06 + + +----------------------------------------------- +CPU time used : 00:00:09.55 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 106.35 +p-value of test : 0.79 + + +----------------------------------------------- +CPU time used : 00:00:35.26 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 4911.48 +p-value of test : 0.90 + + +----------------------------------------------- +CPU time used : 00:00:34.42 + +Generator state: + + + + +*********************************************************** +Test sknuth_Permutation calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 0.25 + + +----------------------------------------------- +CPU time used : 00:01:22.76 + +Generator state: + + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 45824 +p-value of test : 0.60 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165869824 + j = 1 : 399908358 + j = 2 : 45812 + j = 3 : 6 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:03:02.71 + +Generator state: + + + + +*********************************************************** +Test sknuth_CollisionPermut calling smultin_Multinomial + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 45605 +p-value of test : 0.90 + + +----------------------------- +Total number of cells containing j balls + + j = 0 : 1743165869605 + j = 1 : 399908796 + j = 2 : 45593 + j = 3 : 6 + j = 4 : 0 + j = 5 : 0 + +----------------------------------------------- +CPU time used : 00:03:07.80 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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+ : 0.060 +p-value of test : 0.72 + +Kolmogorov-Smirnov- statistic = D- : 0.089 +p-value of test : 0.50 + +Anderson-Darling statistic = A2 : 0.46 +p-value of test : 0.79 + +Test on the sum of all N observations +Number of degrees of freedom : 3999960 +Chi-square statistic : 4.00e+6 +p-value of test : 0.38 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.072 +p-value of test : 0.63 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.32 + +Anderson-Darling statistic = A2 : 0.58 +p-value of test : 0.67 + + +----------------------------------------------- +CPU time used : 00:00:42.07 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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+ : 0.11 +p-value of test : 0.45 + +Kolmogorov-Smirnov- statistic = D- : 0.056 +p-value of test : 0.80 + +Anderson-Darling statistic = A2 : 0.32 +p-value of test : 0.92 + +Test on the sum of all N observations +Number of degrees of freedom : 2999970 +Chi-square statistic : 3.00e+6 +p-value of test : 0.61 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.062 +p-value of test : 0.76 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.38 + +Anderson-Darling statistic = A2 : 0.28 +p-value of test : 0.95 + + +----------------------------------------------- +CPU time used : 00:00:37.55 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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+ : 0.050 +p-value of test : 0.88 + +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.14 + +Anderson-Darling statistic = A2 : 1.84 +p-value of test : 0.11 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.09 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.55 + +Kolmogorov-Smirnov- statistic = D- : 0.12 +p-value of test : 0.52 + +Anderson-Darling statistic = A2 : 0.40 +p-value of test : 0.85 + + +----------------------------------------------- +CPU time used : 00:00:28.50 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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+ : 0.14 +p-value of test : 0.43 + +Kolmogorov-Smirnov- statistic = D- : 0.096 +p-value of test : 0.65 + +Anderson-Darling statistic = A2 : 0.80 +p-value of test : 0.48 + +Test on the sum of all N observations +Number of degrees of freedom : 1999980 +Chi-square statistic : 2.00e+6 +p-value of test : 0.83 + + +----------------------------------------------- +Test results for Anderson-Darling: + +Kolmogorov-Smirnov+ statistic = D+ : 0.065 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.27 + +Anderson-Darling statistic = A2 : 0.84 +p-value of test : 0.45 + + +----------------------------------------------- +CPU time used : 00:00:31.71 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleProd test: +----------------------------------------------- + N = 40, n = 10000000, r = 0, t = 8 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.087 +p-value of test : 0.52 + +Kolmogorov-Smirnov- statistic = D- : 0.066 +p-value of test : 0.68 + +Anderson-Darling statistic = A2 : 0.26 +p-value of test : 0.96 + +----------------------------------------------- +CPU time used : 00:00:40.76 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 16 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.22 + +Kolmogorov-Smirnov- statistic = D- : 0.040 +p-value of test : 0.92 + +Anderson-Darling statistic = A2 : 0.75 +p-value of test : 0.52 + +----------------------------------------------- +CPU time used : 00:00:24.73 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleProd test: +----------------------------------------------- + N = 20, n = 10000000, r = 0, t = 24 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.14 +p-value of test : 0.43 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.27 + +Anderson-Darling statistic = A2 : 0.86 +p-value of test : 0.44 + +----------------------------------------------- +CPU time used : 00:00:29.88 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 0 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 2.77e-4 +p-value of test : 0.05 + +Kolmogorov-Smirnov- statistic = D- : 1.91e-4 +p-value of test : 0.23 + +Anderson-Darling statistic = A2 : 1.89 +p-value of test : 0.11 + +----------------------------------------------- +CPU time used : 00:00:04.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleMean test: +----------------------------------------------- + N = 20000000, n = 30, r = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 2.66e-5 +p-value of test : 0.97 + +Kolmogorov-Smirnov- statistic = D- : 2.13e-4 +p-value of test : 0.16 + +Anderson-Darling statistic = A2 : 1.33 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:00:04.36 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 1 + + +----------------------------------------------- +Normal statistic : 1.64 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:00:06.07 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SampleCorr test: +----------------------------------------------- + N = 1, n = 2000000000, r = 0, k = 2 + + +----------------------------------------------- +Normal statistic : -0.12 +p-value of test : 0.55 + +----------------------------------------------- +CPU time used : 00:00:06.07 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : -0.46 +p-value of test : 0.68 + +----------------------------------------------- +CPU time used : 00:00:12.86 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 9.74e-3 +p-value of test : 0.50 + +----------------------------------------------- +CPU time used : 00:00:12.86 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 70.81 +p-value of test : 0.35 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 67.35 +p-value of test : 0.47 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 66.94 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 35.78 +p-value of test : 0.53 + +----------------------------------------------- +CPU time used : 00:00:10.42 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 33.28 +p-value of test : 0.64 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 43.41 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:00:10.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +svaria_SumCollector test: +----------------------------------------------- + N = 1, n = 500000000, r = 0, g = 10 + + +----------------------------------------------- +Number of degrees of freedom : 29 +Chi-square statistic : 34.24 +p-value of test : 0.23 + +----------------------------------------------- +CPU time used : 00:00:26.17 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.50 + +Kolmogorov-Smirnov- statistic = D- : 0.32 +p-value of test : 0.10 + +Anderson-Darling statistic = A2 : 0.91 +p-value of test : 0.41 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 38.12 +p-value of test : 0.56 + +----------------------------------------------- +CPU time used : 00:00:26.19 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.40 +p-value of test : 0.03 + +Kolmogorov-Smirnov- statistic = D- : 8.52e-3 +p-value of test : 0.9908 + +Anderson-Darling statistic = A2 : 3.38 +p-value of test : 0.02 + +Test on the sum of all N observations +Number of degrees of freedom : 40 +Chi-square statistic : 20.37 +p-value of test : 0.9958 + +----------------------------------------------- +CPU time used : 00:00:26.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 3.64 +p-value of test : 0.30 + +----------------------------------------------- +CPU time used : 00:00:30.88 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 + + +----------------------------------------------- +Number of degrees of freedom : 3 +Chi-square statistic : 8.97 +p-value of test : 0.03 + +----------------------------------------------- +CPU time used : 00:00:31.07 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 1.18 +p-value of test : 0.55 + +----------------------------------------------- +CPU time used : 00:00:25.40 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_MatrixRank test: +----------------------------------------------- + N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 + + +----------------------------------------------- +Number of degrees of freedom : 2 +Chi-square statistic : 1.47 +p-value of test : 0.48 + +----------------------------------------------- +CPU time used : 00:00:22.26 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_Savir2 test: +----------------------------------------------- + N = 10, n = 10000000, r = 10, m = 1048576, t = 30 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.48 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.49 + +Anderson-Darling statistic = A2 : 0.41 +p-value of test : 0.83 + +Test on the sum of all N observations +Number of degrees of freedom : 130 +Chi-square statistic : 126.28 +p-value of test : 0.58 + +----------------------------------------------- +CPU time used : 00:00:10.19 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +smarsa_GCD test: +----------------------------------------------- + N = 10, n = 50000000, r = 0, s = 30 + + +----------------------------------------------- +Test results for GCD values: + +Kolmogorov-Smirnov+ statistic = D+ : 0.17 +p-value of test : 0.49 + +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.54 + +Anderson-Darling statistic = A2 : 0.42 +p-value of test : 0.83 + +Test on the sum of all N observations +Number of degrees of freedom : 17430 +Chi-square statistic :17394.05 +p-value of test : 0.57 + + + +----------------------------------------------- +CPU time used : 00:00:31.92 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 49.67 +p-value of test : 0.06 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 45.78 +p-value of test : 0.11 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 17.91 +p-value of test : 0.85 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 32.79 +p-value of test : 0.11 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 24.76 +p-value of test : 0.10 + + +----------------------------------------------- +CPU time used : 00:00:17.15 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 40.07 +p-value of test : 0.29 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 35 +ChiSquare statistic : 31.36 +p-value of test : 0.64 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 25 +ChiSquare statistic : 35.55 +p-value of test : 0.08 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 24 +ChiSquare statistic : 20.41 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 17 +ChiSquare statistic : 21.00 +p-value of test : 0.23 + + +----------------------------------------------- +CPU time used : 00:00:17.09 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 140.47 +p-value of test : 0.61 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 118.89 +p-value of test : 0.95 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 499.98 +p-value of test : 0.49 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 121.58 +p-value of test : 0.81 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 65.26 +p-value of test : 0.76 + + +----------------------------------------------- +CPU time used : 00:00:21.63 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 140.26 +p-value of test : 0.62 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 146 +ChiSquare statistic : 130.11 +p-value of test : 0.82 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 500 +ChiSquare statistic : 529.85 +p-value of test : 0.17 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 136 +ChiSquare statistic : 150.96 +p-value of test : 0.18 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 74 +ChiSquare statistic : 56.06 +p-value of test : 0.94 + + +----------------------------------------------- +CPU time used : 00:00:21.59 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 406.10 +p-value of test : 0.21 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 371.08 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 5101.29 +p-value of test : 0.16 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 340.68 +p-value of test : 0.92 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 212.50 +p-value of test : 0.26 + + +----------------------------------------------- +CPU time used : 00:00:19.28 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 371.39 +p-value of test : 0.67 + + +----------------------------------------------- +Test on the values of the Statistic M + +Number of degrees of freedom : 384 +ChiSquare statistic : 438.81 +p-value of test : 0.03 + + +----------------------------------------------- +Test on the values of the Statistic J + +Number of degrees of freedom : 5000 +ChiSquare statistic : 4921.44 +p-value of test : 0.78 + + +----------------------------------------------- +Test on the values of the Statistic R + +Number of degrees of freedom : 378 +ChiSquare statistic : 390.21 +p-value of test : 0.32 + + +----------------------------------------------- +Test on the values of the Statistic C + +Number of degrees of freedom : 200 +ChiSquare statistic : 201.11 +p-value of test : 0.46 + + +----------------------------------------------- +CPU time used : 00:00:19.19 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 0, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 12.99 +p-value of test : 0.37 + + +----------------------------------------------- +Normal statistic for number of jumps : 0.052 +p-value of test : 0.48 + + + +----------------------------------------------- +CPU time used : 00:01:08.84 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +scomp_LinearComp test: +----------------------------------------------- + N = 1, n = 400020, r = 29, s = 1 + + + +----------------------------------------------- +Number of degrees of freedom : 12 +Chi2 statistic for size of jumps : 14.92 +p-value of test : 0.25 + + +----------------------------------------------- +Normal statistic for number of jumps : -0.86 +p-value of test : 0.80 + + + +----------------------------------------------- +CPU time used : 00:01:08.71 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 0, s = 30, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.27 +p-value of test : 0.20 + +Kolmogorov-Smirnov- statistic = D- : 0.074 +p-value of test : 0.86 + +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.56 + +Tests on the sum of all N observations +Standardized normal statistic : -0.52 +p-value of test : 0.70 + +Sample variance : 1.06 +p-value of test : 0.39 + +----------------------------------------------- +CPU time used : 00:00:26.78 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +scomp_LempelZiv test: +----------------------------------------------- + N = 10, n = 134217728, r = 15, s = 15, k = 27 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.19 +p-value of test : 0.45 + +Kolmogorov-Smirnov- statistic = D- : 0.16 +p-value of test : 0.55 + +Anderson-Darling statistic = A2 : 0.60 +p-value of test : 0.64 + +Tests on the sum of all N observations +Standardized normal statistic : -0.098 +p-value of test : 0.54 + +Sample variance : 1.65 +p-value of test : 0.10 + +----------------------------------------------- +CPU time used : 00:00:27.88 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 0, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 6.90e-3 +p-value of test : 0.67 + +Kolmogorov-Smirnov- statistic = D- : 0.013 +p-value of test : 0.27 + +Anderson-Darling statistic = A2 : 0.38 +p-value of test : 0.87 + +----------------------------------------------- +CPU time used : 00:00:05.55 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sspectral_Fourier3 test: +----------------------------------------------- + N = 100000, n = 16384, r = 27, s = 3, k = 14 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.010 +p-value of test : 0.41 + +Kolmogorov-Smirnov- statistic = D- : 2.49e-3 +p-value of test : 0.95 + +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:05.57 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 0, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 5.69 +p-value of test : 0.68 + +----------------------------------------------- +Global longest run of 1 : 36.00 +p-value of test : 0.07 + + + +----------------------------------------------- +CPU time used : 00:00:19.19 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_LongestHeadRun test: +----------------------------------------------- + N = 1, n = 1000, r = 27, s = 3, L = 10000020 + + +----------------------------------------------- +Number of degrees of freedom : 8 +Chi-square statistic : 2.08 +p-value of test : 0.98 + +----------------------------------------------- +Global longest run of 1 : 32.00 +p-value of test : 0.50 + + + +----------------------------------------------- +CPU time used : 00:00:19.21 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 0, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.088 +p-value of test : 0.81 + +Kolmogorov-Smirnov- statistic = D- : 0.30 +p-value of test : 0.14 + +Anderson-Darling statistic = A2 : 1.06 +p-value of test : 0.32 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 217.91 +p-value of test : 0.18 + +----------------------------------------------- +CPU time used : 00:01:03.17 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_PeriodsInStrings test: +----------------------------------------------- + N = 10, n = 500000000, r = 20, s = 10 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.086 +p-value of test : 0.82 + +Kolmogorov-Smirnov- statistic = D- : 0.45 +p-value of test : 0.01 + +Anderson-Darling statistic = A2 : 3.51 +p-value of test : 0.02 + +Test on the sum of all N observations +Number of degrees of freedom : 200 +Chi-square statistic : 247.67 +p-value of test : 0.01 + +----------------------------------------------- +CPU time used : 00:01:02.75 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.12 +p-value of test : 0.70 + +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.16 + +Anderson-Darling statistic = A2 : 1.52 +p-value of test : 0.17 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :10228.62 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:00:06.73 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingWeight2 test: +----------------------------------------------- + N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.13 +p-value of test : 0.67 + +Kolmogorov-Smirnov- statistic = D- : 0.23 +p-value of test : 0.30 + +Anderson-Darling statistic = A2 : 0.43 +p-value of test : 0.81 + +Test on the sum of all N observations +Number of degrees of freedom : 10000 +Chi-square statistic :10020.61 +p-value of test : 0.44 + +----------------------------------------------- +CPU time used : 00:00:06.71 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 1000000000, r = 10, s = 10, L = 30 + + + +----------------------------------------------- +Normal statistic : 0.25 +p-value of test : 0.40 + +----------------------------------------------- +CPU time used : 00:00:06.92 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 300 + + + +----------------------------------------------- +Normal statistic : 0.88 +p-value of test : 0.19 + +----------------------------------------------- +CPU time used : 00:00:06.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingCorr test: +----------------------------------------------- + N = 1, n = 100000000, r = 10, s = 10, L = 1200 + + + +----------------------------------------------- +Normal statistic : 0.77 +p-value of test : 0.22 + +----------------------------------------------- +CPU time used : 00:00:24.67 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 5.48e-3 +p-value of test : 0.9942 + +Kolmogorov-Smirnov- statistic = D- : 0.33 +p-value of test : 0.08 + +Anderson-Darling statistic = A2 : 2.55 +p-value of test : 0.05 + +Test on the sum of all N observations +Number of degrees of freedom : 4890 +Chi-square statistic : 5117.83 +p-value of test : 0.01 + +----------------------------------------------- +CPU time used : 00:00:14.11 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_HammingIndep test: +----------------------------------------------- + N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 + + + +Counters with expected numbers >= 10 +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.21 +p-value of test : 0.36 + +Kolmogorov-Smirnov- statistic = D- : 0.28 +p-value of test : 0.18 + +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 : 4890 +Chi-square statistic : 4921.36 +p-value of test : 0.37 + +----------------------------------------------- +CPU time used : 00:00:14.13 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 4182.08 +p-value of test : 0.24 + +----------------------------------------------- +CPU time used : 00:00:09.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 4263.21 +p-value of test : 0.05 + +----------------------------------------------- +CPU time used : 00:00:09.46 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 :11828.71 +p-value of test : 0.49 + +----------------------------------------------- +CPU time used : 00:00:09.80 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 :11932.12 +p-value of test : 0.24 + +----------------------------------------------- +CPU time used : 00:00:09.82 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 62.41 +p-value of test : 0.20 + + +----------------------------------------------- +Total number of bits: 7999966539 + +Normal statistic for number of bits : -0.26 +p-value of test : 0.60 + + + +----------------------------------------------- +CPU time used : 00:00:34.03 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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 : 62.89 +p-value of test : 0.19 + + +----------------------------------------------- +Total number of bits: 8000012829 + +Normal statistic for number of bits : 0.10 +p-value of test : 0.46 + + + +----------------------------------------------- +CPU time used : 00:00:33.55 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +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- : 0.069 +p-value of test : 0.87 + +Anderson-Darling statistic = A2 : 0.44 +p-value of test : 0.81 + +Tests on the sum of all N observations +Standardized normal statistic : -0.66 +p-value of test : 0.75 + +Sample variance : 1.00 +p-value of test : 0.43 + +----------------------------------------------- +CPU time used : 00:00:31.48 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000029, r = 0, s = 3, d = 3 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.15 +p-value of test : 0.58 + +Kolmogorov-Smirnov- statistic = D- : 0.21 +p-value of test : 0.37 + +Anderson-Darling statistic = A2 : 0.69 +p-value of test : 0.57 + +Tests on the sum of all N observations +Standardized normal statistic : 0.47 +p-value of test : 0.32 + +Sample variance : 1.51 +p-value of test : 0.14 + +----------------------------------------------- +CPU time used : 00:00:16.03 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000030, r = 27, s = 3, d = 1 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.11 +p-value of test : 0.73 + +Kolmogorov-Smirnov- statistic = D- : 0.25 +p-value of test : 0.24 + +Anderson-Darling statistic = A2 : 0.76 +p-value of test : 0.51 + +Tests on the sum of all N observations +Standardized normal statistic : 0.91 +p-value of test : 0.18 + +Sample variance : 0.59 +p-value of test : 0.81 + +----------------------------------------------- +CPU time used : 00:00:31.28 + +Generator state: + + + + +*********************************************************** +HOST = MBP-dlemire, Darwin + +sirius64 lsb 32-bits + + +sstring_AutoCor test: +----------------------------------------------- + N = 10, n = 1000000029, r = 27, s = 3, d = 3 + + +----------------------------------------------- + +Kolmogorov-Smirnov+ statistic = D+ : 0.18 +p-value of test : 0.48 + +Kolmogorov-Smirnov- statistic = D- : 0.17 +p-value of test : 0.49 + +Anderson-Darling statistic = A2 : 0.73 +p-value of test : 0.53 + +Tests on the sum of all N observations +Standardized normal statistic : -0.81 +p-value of test : 0.79 + +Sample variance : 1.47 +p-value of test : 0.15 + +----------------------------------------------- +CPU time used : 00:00:15.96 + +Generator state: + + + + + +========= Summary results of BigCrush ========= + + Version: TestU01 1.2.3 + Generator: sirius64 lsb 32-bits + Number of statistics: 160 + Total CPU time: 01:06:10.57 + The following tests gave p-values outside [0.001, 0.9990]: + (eps means a value < 1.0e-300): + (eps1 means a value < 1.0e-15): + + Test p-value + ---------------------------------------------- + 33 CouponCollector, r = 27 8.4e-4 + ---------------------------------------------- + All other tests were passed + + + diff --git a/testu01/src/testsirius64.c b/testu01/src/testsirius64.c new file mode 100644 index 0000000..06ddf20 --- /dev/null +++ b/testu01/src/testsirius64.c @@ -0,0 +1,9 @@ +#include "sirius64.h" + +static inline void thisrng_seed(uint64_t seed) { sirius64_seed(seed); } + +static inline uint64_t thisrng() { return sirius64(); } + +const char *name = "sirius64"; + +#include "main.h" diff --git a/testu01/testlist.sh b/testu01/testlist.sh index 6376e1e..eb1db73 100644 --- a/testu01/testlist.sh +++ b/testu01/testlist.sh @@ -1,4 +1,4 @@ #!/usr/bin/env bash # Normally this script is executed in the context of another script, # with the "." command. -declare -a commands=('testsplitmix64 -H' 'testsplitmix64' 'testpcg32' 'testpcg64 -H' 'testpcg64' 'testxoroshiro128plus -H' 'testxoroshiro128plus' 'testv8xorshift128plus -H' 'testv8xorshift128plus' 'testxorshift128plus -H' 'testxorshift128plus' 'testlehmer64' 'testlehmer64 -H' 'testxorshift32' 'testmersennetwister' 'testxorshift1024star' 'testxorshift1024star -H' 'testxorshift1024plus' 'testxorshift1024plus -H' 'testwyhash' 'testwyhash -H' 'testwyrand' 'testwyrand -H' ); +declare -a commands=('testsplitmix64 -H' 'testsplitmix64' 'testpcg32' 'testpcg64 -H' 'testpcg64' 'testxoroshiro128plus -H' 'testxoroshiro128plus' 'testv8xorshift128plus -H' 'testv8xorshift128plus' 'testxorshift128plus -H' 'testxorshift128plus' 'testlehmer64' 'testlehmer64 -H' 'testxorshift32' 'testmersennetwister' 'testxorshift1024star' 'testxorshift1024star -H' 'testxorshift1024plus' 'testxorshift1024plus -H' 'testwyhash' 'testwyhash -H' 'testwyrand' 'testwyrand -H' 'testsirius64' 'testsirius64 -H' );