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Tests of PHP mt_rand()
<?php
// Based on Leigh's https://www.reddit.com/r/lolphp/comments/46fxi8/typofixing_commit_in_mersenne_twister_rng_code_is/d05zwgg
$bits = 0;
$buffer = 0;
while (true) {
while ($bits < 32) {
$buffer |= (mt_rand() << $bits);
$bits += 31;
}
print pack('V', $buffer);
$buffer >>= 32;
$bits -= 32;
}
$ php mt_rand.php | dieharder -g 200 -a
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name |rands/second| Seed |
stdin_input_raw| 1.22e+06 |1250192871|
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.36292009| PASSED
diehard_operm5| 0| 1000000| 100|0.62407760| PASSED
diehard_rank_32x32| 0| 40000| 100|0.77906239| PASSED
diehard_rank_6x8| 0| 100000| 100|0.84714750| PASSED
diehard_bitstream| 0| 2097152| 100|0.83085004| PASSED
diehard_opso| 0| 2097152| 100|0.97554943| PASSED
diehard_oqso| 0| 2097152| 100|0.05612974| PASSED
diehard_dna| 0| 2097152| 100|0.07180456| PASSED
diehard_count_1s_str| 0| 256000| 100|0.11683220| PASSED
diehard_count_1s_byt| 0| 256000| 100|0.92849557| PASSED
diehard_parking_lot| 0| 12000| 100|0.16111731| PASSED
diehard_2dsphere| 2| 8000| 100|0.34252173| PASSED
diehard_3dsphere| 3| 4000| 100|0.99570577| WEAK
diehard_squeeze| 0| 100000| 100|0.55608087| PASSED
diehard_sums| 0| 100| 100|0.56433293| PASSED
diehard_runs| 0| 100000| 100|0.32478869| PASSED
diehard_runs| 0| 100000| 100|0.17219085| PASSED
diehard_craps| 0| 200000| 100|0.99876504| WEAK
diehard_craps| 0| 200000| 100|0.99079799| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.48187753| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.84443457| PASSED
sts_monobit| 1| 100000| 100|0.94906322| PASSED
sts_runs| 2| 100000| 100|0.60877872| PASSED
sts_serial| 1| 100000| 100|0.49903245| PASSED
sts_serial| 2| 100000| 100|0.19710061| PASSED
sts_serial| 3| 100000| 100|0.14335809| PASSED
sts_serial| 3| 100000| 100|0.85046663| PASSED
sts_serial| 4| 100000| 100|0.53061883| PASSED
sts_serial| 4| 100000| 100|0.52705127| PASSED
sts_serial| 5| 100000| 100|0.06470042| PASSED
sts_serial| 5| 100000| 100|0.13841206| PASSED
sts_serial| 6| 100000| 100|0.55125858| PASSED
sts_serial| 6| 100000| 100|0.64365361| PASSED
sts_serial| 7| 100000| 100|0.26635601| PASSED
sts_serial| 7| 100000| 100|0.25382556| PASSED
sts_serial| 8| 100000| 100|0.27058796| PASSED
sts_serial| 8| 100000| 100|0.11602784| PASSED
sts_serial| 9| 100000| 100|0.94860621| PASSED
sts_serial| 9| 100000| 100|0.96343825| PASSED
sts_serial| 10| 100000| 100|0.68707424| PASSED
sts_serial| 10| 100000| 100|0.04269173| PASSED
sts_serial| 11| 100000| 100|0.24758311| PASSED
sts_serial| 11| 100000| 100|0.55229629| PASSED
sts_serial| 12| 100000| 100|0.42329090| PASSED
sts_serial| 12| 100000| 100|0.88188958| PASSED
sts_serial| 13| 100000| 100|0.45160287| PASSED
sts_serial| 13| 100000| 100|0.24609073| PASSED
sts_serial| 14| 100000| 100|0.42303481| PASSED
sts_serial| 14| 100000| 100|0.99432079| PASSED
sts_serial| 15| 100000| 100|0.51327134| PASSED
sts_serial| 15| 100000| 100|0.57081070| PASSED
sts_serial| 16| 100000| 100|0.69139779| PASSED
sts_serial| 16| 100000| 100|0.99455945| PASSED
rgb_bitdist| 1| 100000| 100|0.30631922| PASSED
rgb_bitdist| 2| 100000| 100|0.58817811| PASSED
rgb_bitdist| 3| 100000| 100|0.91035775| PASSED
rgb_bitdist| 4| 100000| 100|0.82571899| PASSED
rgb_bitdist| 5| 100000| 100|0.87183917| PASSED
rgb_bitdist| 6| 100000| 100|0.27784198| PASSED
rgb_bitdist| 7| 100000| 100|0.45343934| PASSED
rgb_bitdist| 8| 100000| 100|0.22672184| PASSED
rgb_bitdist| 9| 100000| 100|0.43286322| PASSED
rgb_bitdist| 10| 100000| 100|0.53942605| PASSED
rgb_bitdist| 11| 100000| 100|0.83910262| PASSED
rgb_bitdist| 12| 100000| 100|0.51170323| PASSED
rgb_minimum_distance| 2| 10000| 1000|0.73917671| PASSED
rgb_minimum_distance| 3| 10000| 1000|0.63974000| PASSED
rgb_minimum_distance| 4| 10000| 1000|0.49121997| PASSED
rgb_minimum_distance| 5| 10000| 1000|0.81769054| PASSED
rgb_permutations| 2| 100000| 100|0.58679202| PASSED
rgb_permutations| 3| 100000| 100|0.98792710| PASSED
rgb_permutations| 4| 100000| 100|0.19002537| PASSED
rgb_permutations| 5| 100000| 100|0.65513474| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.90890763| PASSED
rgb_lagged_sum| 1| 1000000| 100|0.94011886| PASSED
rgb_lagged_sum| 2| 1000000| 100|0.62969585| PASSED
rgb_lagged_sum| 3| 1000000| 100|0.52032831| PASSED
rgb_lagged_sum| 4| 1000000| 100|0.83761729| PASSED
rgb_lagged_sum| 5| 1000000| 100|0.67311566| PASSED
rgb_lagged_sum| 6| 1000000| 100|0.14624048| PASSED
rgb_lagged_sum| 7| 1000000| 100|0.42399373| PASSED
rgb_lagged_sum| 8| 1000000| 100|0.77046184| PASSED
rgb_lagged_sum| 9| 1000000| 100|0.90471924| PASSED
rgb_lagged_sum| 10| 1000000| 100|0.95347562| PASSED
rgb_lagged_sum| 11| 1000000| 100|0.10853881| PASSED
rgb_lagged_sum| 12| 1000000| 100|0.67814976| PASSED
rgb_lagged_sum| 13| 1000000| 100|0.36266628| PASSED
rgb_lagged_sum| 14| 1000000| 100|0.55729575| PASSED
rgb_lagged_sum| 15| 1000000| 100|0.41560492| PASSED
rgb_lagged_sum| 16| 1000000| 100|0.95417961| PASSED
rgb_lagged_sum| 17| 1000000| 100|0.99998878| WEAK
rgb_lagged_sum| 18| 1000000| 100|0.51179615| PASSED
rgb_lagged_sum| 19| 1000000| 100|0.72495126| PASSED
rgb_lagged_sum| 20| 1000000| 100|0.63430537| PASSED
rgb_lagged_sum| 21| 1000000| 100|0.77951202| PASSED
rgb_lagged_sum| 22| 1000000| 100|0.65588290| PASSED
rgb_lagged_sum| 23| 1000000| 100|0.75712476| PASSED
rgb_lagged_sum| 24| 1000000| 100|0.47194578| PASSED
rgb_lagged_sum| 25| 1000000| 100|0.87363949| PASSED
rgb_lagged_sum| 26| 1000000| 100|0.84911463| PASSED
rgb_lagged_sum| 27| 1000000| 100|0.87371798| PASSED
rgb_lagged_sum| 28| 1000000| 100|0.42187270| PASSED
rgb_lagged_sum| 29| 1000000| 100|0.42434243| PASSED
rgb_lagged_sum| 30| 1000000| 100|0.20534787| PASSED
rgb_lagged_sum| 31| 1000000| 100|0.89350224| PASSED
rgb_lagged_sum| 32| 1000000| 100|0.95478683| PASSED
rgb_kstest_test| 0| 10000| 1000|0.15844436| PASSED
dab_bytedistrib| 0| 51200000| 1|0.33759668| PASSED
dab_dct| 256| 50000| 1|0.37129643| PASSED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.62806018| PASSED
dab_filltree| 32| 15000000| 1|0.17518093| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.79044026| PASSED
dab_filltree2| 1| 5000000| 1|0.15456865| PASSED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|0.75320501| PASSED
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting BigCrush Starting BigCrush
Version: TestU01 1.2.3 Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
*********************************************************** ***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver Test smarsa_SerialOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 1000000000, r = 0, d = 256, t = 3, N = 1, n = 1000000000, r = 0, d = 256, t = 3,
Sparse = FALSE Sparse = FALSE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216 Number of cells = d^t = 16777216
Expected number per cell = 59.604645 Expected number per cell = 59.604645
Hashing = FALSE Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare: Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = Delta = 1, Mu = 0.0083558402, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Delta = 1.0000 Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680 Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7 Value of the statistic : 1.67e+7
p-value of test : 0.58 | p-value of test : 0.23
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:57.43 | CPU time used : 00:01:12.95
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver Test smarsa_SerialOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 1000000000, r = 22, d = 256, t = 3, N = 1, n = 1000000000, r = 22, d = 256, t = 3,
Sparse = FALSE Sparse = FALSE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216 Number of cells = d^t = 16777216
Expected number per cell = 59.604645 Expected number per cell = 59.604645
Hashing = FALSE Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare: Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = Delta = 1, Mu = 0.0083558402, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Delta = 1.0000 Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680 Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7 Value of the statistic : 1.67e+7
p-value of test : 0.67 | p-value of test : 0.31
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:00.34 | CPU time used : 00:01:14.19
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 0, d = 2097152, t = 2, N = 30, n = 20000000, r = 0, d = 2097152, t = 2,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1355 | Observed number of collisions : 1273
p-value of test : 0.59 | p-value of test : 0.9934
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334475 | j = 0 : 131940795334393
j = 1 : 599997290 | j = 1 : 599997454
j = 2 : 1355 | j = 2 : 1273
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:04:26.95 | CPU time used : 00:03:58.07
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 9, d = 2097152, t = 2, N = 30, n = 20000000, r = 9, d = 2097152, t = 2,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1356 | Observed number of collisions : 1388
p-value of test : 0.58 | p-value of test : 0.26
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334476 | j = 0 : 131940795334508
j = 1 : 599997288 | j = 1 : 599997224
j = 2 : 1356 | j = 2 : 1388
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:04:34.86 | CPU time used : 00:03:46.19
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 0, d = 16384, t = 3, N = 30, n = 20000000, r = 0, d = 16384, t = 3,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1402 | Observed number of collisions : 1356
p-value of test : 0.16 | p-value of test : 0.58
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334522 | j = 0 : 131940795334476
j = 1 : 599997196 | j = 1 : 599997288
j = 2 : 1402 | j = 2 : 1356
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:06:00.62 | CPU time used : 00:05:01.95
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 16, d = 16384, t = 3, N = 30, n = 20000000, r = 16, d = 16384, t = 3,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1317 | Observed number of collisions : 1399
p-value of test : 0.90 | p-value of test : 0.18
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334437 | j = 0 : 131940795334519
j = 1 : 599997366 | j = 1 : 599997202
j = 2 : 1317 | j = 2 : 1399
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:05:50.78 | CPU time used : 00:04:50.02
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 0, d = 64, t = 7, N = 30, n = 20000000, r = 0, d = 64, t = 7,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1359 | Observed number of collisions : 1340
p-value of test : 0.55 | p-value of test : 0.74
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334479 | j = 0 : 131940795334460
j = 1 : 599997282 | j = 1 : 599997320
j = 2 : 1359 | j = 2 : 1340
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:06:00.89 | CPU time used : 00:05:01.35
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 24, d = 64, t = 7, N = 30, n = 20000000, r = 24, d = 64, t = 7,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1350 | Observed number of collisions : 1436
p-value of test : 0.64 | p-value of test : 0.03
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334470 | j = 0 : 131940795334556
j = 1 : 599997300 | j = 1 : 599997128
j = 2 : 1350 | j = 2 : 1436
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:06:02.46 | CPU time used : 00:05:01.48
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 0, d = 8, t = 14, N = 30, n = 20000000, r = 0, d = 8, t = 14,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1352 | Observed number of collisions : 1411
p-value of test : 0.62 | p-value of test : 0.11
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334472 | j = 0 : 131940795334531
j = 1 : 599997296 | j = 1 : 599997178
j = 2 : 1352 | j = 2 : 1411
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:05:58.40 | CPU time used : 00:05:13.80
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 27, d = 8, t = 14, N = 30, n = 20000000, r = 27, d = 8, t = 14,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1398 | Observed number of collisions : 1354
p-value of test : 0.18 | p-value of test : 0.60
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334518 | j = 0 : 131940795334474
j = 1 : 599997204 | j = 1 : 599997292
j = 2 : 1398 | j = 2 : 1354
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:05:54.90 | CPU time used : 00:04:58.01
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 0, d = 4, t = 21, N = 30, n = 20000000, r = 0, d = 4, t = 21,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1312 | Observed number of collisions : 1351
p-value of test : 0.92 | p-value of test : 0.63
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334432 | j = 0 : 131940795334471
j = 1 : 599997376 | j = 1 : 599997298
j = 2 : 1312 | j = 2 : 1351
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:05:53.28 | CPU time used : 00:05:05.86
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver Test smarsa_CollisionOver calling smultin_MultinomialOver
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_MultinomialOver test: smultin_MultinomialOver test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 20000000, r = 28, d = 4, t = 21, N = 30, n = 20000000, r = 28, d = 4, t = 21,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellSerial GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104 Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33 Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509 EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE Hashing = TRUE
Collision test Collision test
CollisionOver: density = n / k = 1 / 219902.33 CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47 Expected number of collisions = Mu = 45.47
----------------------------------------------- -----------------------------------------------
Results of CollisionOver test: Results of CollisionOver test:
POISSON approximation : POISSON approximation :
Expected number of collisions = N*Mu : 1364.24 Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1338 | Observed number of collisions : 1266
p-value of test : 0.76 | p-value of test : 0.9963
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 131940795334458 | j = 0 : 131940795334386
j = 1 : 599997324 | j = 1 : 599997468
j = 2 : 1338 | j = 2 : 1266
j = 3 : 0 j = 3 : 0
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:05:41.34 | CPU time used : 00:05:00.65
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 100, n = 10000000, r = 0, d = 2147483648, t = N = 100, n = 10000000, r = 0, d = 2147483648, t =
Number of cells = d^t = 4611686018427387904 Number of cells = d^t = 4611686018427387904
Lambda = Poisson mean = 54.2101 Lambda = Poisson mean = 54.2101
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 5421.01 Total expected number = N*Lambda : 5421.01
Total observed number : 5365 | Total observed number : 5472
p-value of test : 0.77 | p-value of test : 0.25
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:53.28 | CPU time used : 00:03:12.61
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 20000000, r = 0, d = 2097152, t = 3, N = 20, n = 20000000, r = 0, d = 2097152, t = 3,
Number of cells = d^t = 9223372036854775808 Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404 Lambda = Poisson mean = 216.8404
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 4336.81 Total expected number = N*Lambda : 4336.81
Total observed number : 4268 | Total observed number : 4304
p-value of test : 0.85 | p-value of test : 0.69
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:12.88 | CPU time used : 00:01:25.94
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 30000000, r = 14, d = 65536, t = 4, N = 20, n = 30000000, r = 14, d = 65536, t = 4,
Number of cells = d^t = 18446744073709551616 Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182 Lambda = Poisson mean = 365.9182
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 7318.36 Total expected number = N*Lambda : 7318.36
Total observed number : 7234 | Total observed number : 7291
p-value of test : 0.84 | p-value of test : 0.62
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:57.67 | CPU time used : 00:02:24.46
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 20000000, r = 0, d = 512, t = 7, p N = 20, n = 20000000, r = 0, d = 512, t = 7, p
Number of cells = d^t = 9223372036854775808 Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404 Lambda = Poisson mean = 216.8404
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 4336.81 Total expected number = N*Lambda : 4336.81
Total observed number : 4445 | Total observed number : 4349
p-value of test : 0.05 | p-value of test : 0.43
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:21.59 | CPU time used : 00:01:50.46
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 20000000, r = 7, d = 512, t = 7, p N = 20, n = 20000000, r = 7, d = 512, t = 7, p
Number of cells = d^t = 9223372036854775808 Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404 Lambda = Poisson mean = 216.8404
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 4336.81 Total expected number = N*Lambda : 4336.81
Total observed number : 4288 | Total observed number : 4332
p-value of test : 0.77 | p-value of test : 0.53
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:25.40 | CPU time used : 00:01:55.67
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 30000000, r = 14, d = 256, t = 8, p N = 20, n = 30000000, r = 14, d = 256, t = 8, p
Number of cells = d^t = 18446744073709551616 Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182 Lambda = Poisson mean = 365.9182
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 7318.36 Total expected number = N*Lambda : 7318.36
Total observed number : 7296 | Total observed number : 7246
p-value of test : 0.60 | p-value of test : 0.80
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:13.98 | CPU time used : 00:03:03.21
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 30000000, r = 22, d = 256, t = 8, p N = 20, n = 30000000, r = 22, d = 256, t = 8, p
Number of cells = d^t = 18446744073709551616 Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182 Lambda = Poisson mean = 365.9182
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 7318.36 Total expected number = N*Lambda : 7318.36
Total observed number : 7410 | Total observed number : 7453
p-value of test : 0.14 | p-value of test : 0.06
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:14.52 | CPU time used : 00:03:03.26
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 30000000, r = 0, d = 16, t = 16, p N = 20, n = 30000000, r = 0, d = 16, t = 16, p
Number of cells = d^t = 18446744073709551616 Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182 Lambda = Poisson mean = 365.9182
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 7318.36 Total expected number = N*Lambda : 7318.36
Total observed number : 7336 | Total observed number : 7353
p-value of test : 0.42 | p-value of test : 0.34
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:41.65 | CPU time used : 00:04:07.85
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_BirthdaySpacings test: smarsa_BirthdaySpacings test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 30000000, r = 26, d = 16, t = 16, p N = 20, n = 30000000, r = 26, d = 16, t = 16, p
Number of cells = d^t = 18446744073709551616 Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182 Lambda = Poisson mean = 365.9182
---------------------------------------------------- ----------------------------------------------------
Total expected number = N*Lambda : 7318.36 Total expected number = N*Lambda : 7318.36
Total observed number : 7223 | Total observed number : 7235
p-value of test : 0.87 | p-value of test : 0.83
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:53.23 | CPU time used : 00:04:31.50
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
snpair_ClosePairs test: snpair_ClosePairs test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, T N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, T
--------------------------------------- ---------------------------------------
Test based on the 2 nearest points (NP): Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.25 | Stat. AD on the N values (NP) : 0.21
p-value of test : 0.97 | p-value of test : 0.99
A2 test based on the spacings between the A2 test based on the spacings between the
successive jump times of process Y_n(t): successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.82 | A2 test on the values of A2 (m-NP) : 1.09
p-value of test : 0.47 | p-value of test : 0.31
Test on the Nm values of W_{n,i}(mNP1): 0.44 | Test on the Nm values of W_{n,i}(mNP1): 3.89
p-value of test : 0.81 | p-value of test : 9.8e-3
Test on the jump times of Y Test on the jump times of Y
(superposition of Yn): (superposition of Yn):
Expected number of jumps of Y = mN : 900 Expected number of jumps of Y = mN : 900
Number of jumps of Y : 915 | Number of jumps of Y : 827
p-value of test : 0.31 | p-value of test : 0.9927
Stat. AD (mNP2) : 0.31 | Stat. AD (mNP2) : 1.54
p-value of test : 0.93 | p-value of test : 0.17
Stat. AD after spacings (mNP2-S) : 0.76 | Stat. AD after spacings (mNP2-S) : 1.87
p-value of test : 0.51 | p-value of test : 0.11
----------------------------------------------- -----------------------------------------------
CPU time used : 00:04:04.40 | CPU time used : 00:03:42.77
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
snpair_ClosePairs test: snpair_ClosePairs test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, T N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, T
--------------------------------------- ---------------------------------------
Test based on the 2 nearest points (NP): Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.50 | Stat. AD on the N values (NP) : 0.67
p-value of test : 0.75 | p-value of test : 0.58
A2 test based on the spacings between the A2 test based on the spacings between the
successive jump times of process Y_n(t): successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.26 | A2 test on the values of A2 (m-NP) : 0.43
p-value of test : 0.96 | p-value of test : 0.82
Test on the Nm values of W_{n,i}(mNP1): 0.54 | Test on the Nm values of W_{n,i}(mNP1): 0.51
p-value of test : 0.70 | p-value of test : 0.73
Test on the jump times of Y Test on the jump times of Y
(superposition of Yn): (superposition of Yn):
Expected number of jumps of Y = mN : 600 Expected number of jumps of Y = mN : 600
Number of jumps of Y : 597 | Number of jumps of Y : 639
p-value of test : 0.54 | p-value of test : 0.06
Stat. AD (mNP2) : 4.36 | Stat. AD (mNP2) : 1.58
p-value of test : 5.8e-3 | p-value of test : 0.16
Stat. AD after spacings (mNP2-S) : 0.30 | Stat. AD after spacings (mNP2-S) : 0.95
p-value of test : 0.94 | p-value of test : 0.38
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:31.47 | CPU time used : 00:01:54.15
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
snpair_ClosePairs test: snpair_ClosePairs test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, T N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, T
--------------------------------------- ---------------------------------------
Test based on the 2 nearest points (NP): Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.49 | Stat. AD on the N values (NP) : 0.37
p-value of test : 0.76 | p-value of test : 0.88
A2 test based on the spacings between the A2 test based on the spacings between the
successive jump times of process Y_n(t): successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.37 | A2 test on the values of A2 (m-NP) : 1.07
p-value of test : 0.87 | p-value of test : 0.32
Test on the Nm values of W_{n,i}(mNP1): 4.04 | Test on the Nm values of W_{n,i}(mNP1): 0.43
p-value of test : 8.4e-3 | p-value of test : 0.82
Test on the jump times of Y Test on the jump times of Y
(superposition of Yn): (superposition of Yn):
Expected number of jumps of Y = mN : 300 Expected number of jumps of Y = mN : 300
Number of jumps of Y : 257 | Number of jumps of Y : 318
p-value of test : 0.9939 | p-value of test : 0.16
Stat. AD (mNP2) : 0.27 | Stat. AD (mNP2) : 2.07
p-value of test : 0.96 | p-value of test : 0.08
Stat. AD after spacings (mNP2-S) : 0.41 | Stat. AD after spacings (mNP2-S) : 1.08
p-value of test : 0.84 | p-value of test : 0.32
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:51.39 | CPU time used : 00:03:14.06
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
snpair_ClosePairs test: snpair_ClosePairs test:
----------------------------------------------- -----------------------------------------------
N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30,
--------------------------------------- ---------------------------------------
Test based on the 2 nearest points (NP): Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.91 | Stat. AD on the N values (NP) : 1.61
p-value of test : 0.40 | p-value of test : 0.15
A2 test based on the spacings between the A2 test based on the spacings between the
successive jump times of process Y_n(t): successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.50 | A2 test on the values of A2 (m-NP) : 0.38
p-value of test : 0.73 | p-value of test : 0.87
Test on the Nm values of W_{n,i}(mNP1): 0.79 | Test on the Nm values of W_{n,i}(mNP1): 0.71
p-value of test : 0.49 | p-value of test : 0.55
Test on the jump times of Y Test on the jump times of Y
(superposition of Yn): (superposition of Yn):
Expected number of jumps of Y = mN : 150 Expected number of jumps of Y = mN : 150
Number of jumps of Y : 134 | Number of jumps of Y : 144
p-value of test : 0.90 | p-value of test : 0.67
Stat. AD (mNP2) : 2.24 | Stat. AD (mNP2) : 0.80
p-value of test : 0.07 | p-value of test : 0.48
Stat. AD after spacings (mNP2-S) : 0.52 | Stat. AD after spacings (mNP2-S) : 2.99
p-value of test : 0.72 | p-value of test : 0.03
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:53.06 | CPU time used : 00:03:13.72
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_SimpPoker test: sknuth_SimpPoker test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 400000000, r = 0, d = 8, k = 8 N = 1, n = 400000000, r = 0, d = 8, k = 8
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 7 Number of degrees of freedom : 7
Chi-square statistic : 8.27 | Chi-square statistic : 11.61
p-value of test : 0.31 | p-value of test : 0.11
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:36.32 | CPU time used : 00:01:14.02
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_SimpPoker test: sknuth_SimpPoker test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 400000000, r = 27, d = 8, k = 8 N = 1, n = 400000000, r = 27, d = 8, k = 8
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 7 Number of degrees of freedom : 7
Chi-square statistic : 9.49 | Chi-square statistic : 1.79
p-value of test : 0.22 | p-value of test : 0.97
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:43.64 | CPU time used : 00:01:22.53
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_SimpPoker test: sknuth_SimpPoker test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 100000000, r = 0, d = 32, k = 32 N = 1, n = 100000000, r = 0, d = 32, k = 32
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 18 Number of degrees of freedom : 18
Chi-square statistic : 18.95 | Chi-square statistic : 25.75
p-value of test : 0.39 | p-value of test : 0.11
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:35.26 | CPU time used : 00:01:12.31
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_SimpPoker test: sknuth_SimpPoker test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 100000000, r = 25, d = 32, k = 32 N = 1, n = 100000000, r = 25, d = 32, k = 32
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 18 Number of degrees of freedom : 18
Chi-square statistic : 18.68 | Chi-square statistic : 16.80
p-value of test : 0.41 | p-value of test : 0.54
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:42.11 | CPU time used : 00:01:21.27
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_CouponCollector test: sknuth_CouponCollector test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 200000000, r = 0, d = 8 N = 1, n = 200000000, r = 0, d = 8
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 54 Number of degrees of freedom : 54
Chi-square statistic : 53.52 | Chi-square statistic : 57.14
p-value of test : 0.49 | p-value of test : 0.36
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:43.78 | CPU time used : 00:01:31.14
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_CouponCollector test: sknuth_CouponCollector test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 200000000, r = 10, d = 8 N = 1, n = 200000000, r = 10, d = 8
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 54 Number of degrees of freedom : 54
Chi-square statistic : 55.19 | Chi-square statistic : 63.93
p-value of test : 0.43 | p-value of test : 0.17
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:52.19 | CPU time used : 00:01:41.05
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_CouponCollector test: sknuth_CouponCollector test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 200000000, r = 20, d = 8 N = 1, n = 200000000, r = 20, d = 8
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 54 Number of degrees of freedom : 54
Chi-square statistic : 66.09 | Chi-square statistic : 67.14
p-value of test : 0.13 | p-value of test : 0.11
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:52.07 | CPU time used : 00:01:41.52
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_CouponCollector test: sknuth_CouponCollector test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 200000000, r = 27, d = 8 N = 1, n = 200000000, r = 27, d = 8
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 54 Number of degrees of freedom : 54
Chi-square statistic : 47.97 | Chi-square statistic : 49.57
p-value of test : 0.70 | p-value of test : 0.65
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:51.61 | CPU time used : 00:01:42.02
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_Gap test: sknuth_Gap test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 500000000, r = 0, Alpha = 0, Bet N = 1, n = 500000000, r = 0, Alpha = 0, Bet
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 232 Number of degrees of freedom : 232
Chi-square statistic : 221.54 | Chi-square statistic : 245.35
p-value of test : 0.68 | p-value of test : 0.26
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:46.10 | CPU time used : 00:02:01.64
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_Gap test: sknuth_Gap test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 300000000, r = 25, Alpha = 0, Bet N = 1, n = 300000000, r = 25, Alpha = 0, Bet
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 434 Number of degrees of freedom : 434
Chi-square statistic : 448.36 | Chi-square statistic : 419.43
p-value of test : 0.31 | p-value of test : 0.68
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:03.60 | CPU time used : 00:02:44.65
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_Gap test: sknuth_Gap test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Bet N = 1, n = 100000000, r = 0, Alpha = 0, Bet
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 1437 Number of degrees of freedom : 1437
Chi-square statistic : 1454.83 | Chi-square statistic : 1405.53
p-value of test : 0.37 | p-value of test : 0.72
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:05.52 | CPU time used : 00:03:03.18
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_Gap test: sknuth_Gap test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 10000000, r = 20, Alpha = 0, Beta N = 1, n = 10000000, r = 20, Alpha = 0, Beta
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 7046 Number of degrees of freedom : 7046
Chi-square statistic : 7181.15 | Chi-square statistic : 7096.55
p-value of test : 0.13 | p-value of test : 0.33
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:03.31 | CPU time used : 00:02:49.69
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_Run test: sknuth_Run test:
----------------------------------------------- -----------------------------------------------
N = 5, n = 1000000000, r = 0, Up = FALSE N = 5, n = 1000000000, r = 0, Up = FALSE
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.20 | Kolmogorov-Smirnov+ statistic = D+ : 0.21
p-value of test : 0.59 | p-value of test : 0.57
Kolmogorov-Smirnov- statistic = D- : 0.20 | Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.58 | p-value of test : 0.52
Anderson-Darling statistic = A2 : 0.32 | Anderson-Darling statistic = A2 : 0.48
p-value of test : 0.92 | p-value of test : 0.76
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 30 Number of degrees of freedom : 30
Chi-square statistic : 28.09 | Chi-square statistic : 29.44
p-value of test : 0.57 | p-value of test : 0.49
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:45.89 | CPU time used : 00:01:40.56
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_Run test: sknuth_Run test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 1000000000, r = 15, Up = TRUE N = 10, n = 1000000000, r = 15, Up = TRUE
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.28 | Kolmogorov-Smirnov+ statistic = D+ : 0.30
p-value of test : 0.18 | p-value of test : 0.13
Kolmogorov-Smirnov- statistic = D- : 0.21 | Kolmogorov-Smirnov- statistic = D- : 0.056
p-value of test : 0.36 | p-value of test : 0.91
Anderson-Darling statistic = A2 : 0.95 | Anderson-Darling statistic = A2 : 0.88
p-value of test : 0.38 | p-value of test : 0.42
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 60 Number of degrees of freedom : 60
Chi-square statistic : 51.22 | Chi-square statistic : 46.82
p-value of test : 0.78 | p-value of test : 0.89
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:53.89 | CPU time used : 00:03:50.78
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test sknuth_Permutation calling smultin_Multinomial Test sknuth_Permutation calling smultin_Multinomial
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_Multinomial test: smultin_Multinomial test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 3, N = 1, n = 1000000000, r = 5, t = 3,
Sparse = FALSE Sparse = FALSE
GenerCell = smultin_GenerCellPermut GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6 Number of cells = t! = 6
Expected number per cell = 1.6666667e+08 Expected number per cell = 1.6666667e+08
Hashing = FALSE Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare: Correction factor of the ChiSquare:
Delta = 1, Mu = 2.5000002e-09, Sigma = Delta = 1, Mu = 2.5000002e-09, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Delta = 1.0000 Test Results for Delta = 1.0000
Number of degrees of freedom : 5 Number of degrees of freedom : 5
Value of the statistic : 4.07 | Value of the statistic : 6.45
p-value of test : 0.54 | p-value of test : 0.26
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:32.02 | CPU time used : 00:01:00.82
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test sknuth_Permutation calling smultin_Multinomial Test sknuth_Permutation calling smultin_Multinomial
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_Multinomial test: smultin_Multinomial test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 5, N = 1, n = 1000000000, r = 5, t = 5,
Sparse = FALSE Sparse = FALSE
GenerCell = smultin_GenerCellPermut GenerCell = smultin_GenerCellPermut
Number of cells = t! = 120 Number of cells = t! = 120
Expected number per cell = 8333333.3 Expected number per cell = 8333333.3
Hashing = FALSE Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare: Correction factor of the ChiSquare:
Delta = 1, Mu = 5.9500005e-08, Sigma = Delta = 1, Mu = 5.9500005e-08, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Delta = 1.0000 Test Results for Delta = 1.0000
Number of degrees of freedom : 119 Number of degrees of freedom : 119
Value of the statistic : 108.51 | Value of the statistic : 103.83
p-value of test : 0.74 | p-value of test : 0.84
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:54.72 | CPU time used : 00:01:44.72
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test sknuth_Permutation calling smultin_Multinomial Test sknuth_Permutation calling smultin_Multinomial
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_Multinomial test: smultin_Multinomial test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 500000000, r = 5, t = 7, N = 1, n = 500000000, r = 5, t = 7,
Sparse = FALSE Sparse = FALSE
GenerCell = smultin_GenerCellPermut GenerCell = smultin_GenerCellPermut
Number of cells = t! = 5040 Number of cells = t! = 5040
Expected number per cell = 99206.349 Expected number per cell = 99206.349
Hashing = FALSE Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare: Correction factor of the ChiSquare:
Delta = 1, Mu = 5.0390004e-06, Sigma = Delta = 1, Mu = 5.0390004e-06, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Delta = 1.0000 Test Results for Delta = 1.0000
Number of degrees of freedom : 5039 Number of degrees of freedom : 5039
Value of the statistic : 5104.19 | Value of the statistic : 5084.44
p-value of test : 0.26 | p-value of test : 0.32
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:41.50 | CPU time used : 00:01:15.48
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test sknuth_Permutation calling smultin_Multinomial Test sknuth_Permutation calling smultin_Multinomial
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_Multinomial test: smultin_Multinomial test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 500000000, r = 10, t = 10, N = 1, n = 500000000, r = 10, t = 10,
Sparse = FALSE Sparse = FALSE
GenerCell = smultin_GenerCellPermut GenerCell = smultin_GenerCellPermut
Number of cells = t! = 3628800 Number of cells = t! = 3628800
Expected number per cell = 137.7866 Expected number per cell = 137.7866
Hashing = FALSE Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare: Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0036287993, Sigma = Delta = 1, Mu = 0.0036287993, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Delta = 1.0000 Test Results for Delta = 1.0000
Number of degrees of freedom : 3628799 Number of degrees of freedom : 3628799
Value of the statistic : 3.63e+6 | Value of the statistic : 3.62e+6
p-value of test : 0.34 | p-value of test : 0.95
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:42.14 | CPU time used : 00:02:32.63
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial Test sknuth_CollisionPermut calling smultin_Multinomial
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_Multinomial test: smultin_Multinomial test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 20000000, r = 0, t = 14, N = 20, n = 20000000, r = 0, t = 14,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellPermut GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200 Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146 Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912 EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = Collision test, Mu = 2293.9736, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Collisions Test Results for Collisions
For the total number of collisions, we use For the total number of collisions, we use
the Poisson approximation: the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47 Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 45531 | Observed number of collisions : 45448
p-value of test : 0.95 | p-value of test : 0.98
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 1743165869531 | j = 0 : 1743165869448
j = 1 : 399908941 | j = 1 : 399909109
j = 2 : 45525 | j = 2 : 45438
j = 3 : 3 | j = 3 : 5
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:38.14 | CPU time used : 00:03:38.96
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial Test sknuth_CollisionPermut calling smultin_Multinomial
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smultin_Multinomial test: smultin_Multinomial test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 20000000, r = 10, t = 14, N = 20, n = 20000000, r = 10, t = 14,
Sparse = TRUE Sparse = TRUE
GenerCell = smultin_GenerCellPermut GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200 Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146 Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912 EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = Collision test, Mu = 2293.9736, Sigma =
----------------------------------------------- -----------------------------------------------
Test Results for Collisions Test Results for Collisions
For the total number of collisions, we use For the total number of collisions, we use
the Poisson approximation: the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47 Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 45990 | Observed number of collisions : 45791
p-value of test : 0.30 | p-value of test : 0.66
----------------------------- -----------------------------
Total number of cells containing j balls Total number of cells containing j balls
j = 0 : 1743165869990 | j = 0 : 1743165869791
j = 1 : 399908022 | j = 1 : 399908421
j = 2 : 45986 | j = 2 : 45785
j = 3 : 2 | j = 3 : 3
j = 4 : 0 j = 4 : 0
j = 5 : 0 j = 5 : 0
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:49.05 | CPU time used : 00:03:45.88
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_MaxOft test: sknuth_MaxOft test:
----------------------------------------------- -----------------------------------------------
N = 40, n = 10000000, r = 0, d = 100000, t = 8 N = 40, n = 10000000, r = 0, d = 100000, t = 8
Number of categories = 100000 Number of categories = 100000
Expected number per category = 100.00 Expected number per category = 100.00
----------------------------------------------- -----------------------------------------------
Test results for chi2 with 99999 degrees of freedom: Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.032 | Kolmogorov-Smirnov+ statistic = D+ : 0.077
p-value of test : 0.90 | p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.12 | Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.28 | p-value of test : 0.02
Anderson-Darling statistic = A2 : 0.85 | Anderson-Darling statistic = A2 : 1.92
p-value of test : 0.44 | p-value of test : 0.10
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 3999960 Number of degrees of freedom : 3999960
Chi-square statistic : 4.00e+6 Chi-square statistic : 4.00e+6
p-value of test : 0.11 p-value of test : 0.11
----------------------------------------------- -----------------------------------------------
Test results for Anderson-Darling: Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.22 | Kolmogorov-Smirnov+ statistic = D+ : 0.098
p-value of test : 0.02 | p-value of test : 0.44
Kolmogorov-Smirnov- statistic = D- : 0.030 | Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.91 | p-value of test : 0.18
Anderson-Darling statistic = A2 : 3.13 | Anderson-Darling statistic = A2 : 1.19
p-value of test : 0.02 | p-value of test : 0.27
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:28.76 | CPU time used : 00:02:59.72
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_MaxOft test: sknuth_MaxOft test:
----------------------------------------------- -----------------------------------------------
N = 30, n = 10000000, r = 0, d = 100000, t = 16 N = 30, n = 10000000, r = 0, d = 100000, t = 16
Number of categories = 100000 Number of categories = 100000
Expected number per category = 100.00 Expected number per category = 100.00
----------------------------------------------- -----------------------------------------------
Test results for chi2 with 99999 degrees of freedom: Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.13 | Kolmogorov-Smirnov+ statistic = D+ : 0.053
p-value of test : 0.32 | p-value of test : 0.82
Kolmogorov-Smirnov- statistic = D- : 0.052 | Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.83 | p-value of test : 0.19
Anderson-Darling statistic = A2 : 0.36 | Anderson-Darling statistic = A2 : 0.82
p-value of test : 0.88 | p-value of test : 0.46
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 2999970 Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6 Chi-square statistic : 3.00e+6
p-value of test : 0.70 | p-value of test : 0.23
----------------------------------------------- -----------------------------------------------
Test results for Anderson-Darling: Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.14 | Kolmogorov-Smirnov+ statistic = D+ : 0.021
p-value of test : 0.30 | p-value of test : 0.96
Kolmogorov-Smirnov- statistic = D- : 0.061 | Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.77 | p-value of test : 0.22
Anderson-Darling statistic = A2 : 0.89 | Anderson-Darling statistic = A2 : 1.19
p-value of test : 0.42 | p-value of test : 0.27
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:03.15 | CPU time used : 00:02:48.52
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_MaxOft test: sknuth_MaxOft test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 24 N = 20, n = 10000000, r = 0, d = 100000, t = 24
Number of categories = 100000 Number of categories = 100000
Expected number per category = 100.00 Expected number per category = 100.00
----------------------------------------------- -----------------------------------------------
Test results for chi2 with 99999 degrees of freedom: Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.13 | Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.49 | p-value of test : 0.28
Kolmogorov-Smirnov- statistic = D- : 0.065 | Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.81 | p-value of test : 0.54
Anderson-Darling statistic = A2 : 0.55 | Anderson-Darling statistic = A2 : 0.52
p-value of test : 0.70 | p-value of test : 0.73
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 1999980 Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6 Chi-square statistic : 2.00e+6
p-value of test : 0.70 | p-value of test : 0.63
----------------------------------------------- -----------------------------------------------
Test results for Anderson-Darling: Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.16 | Kolmogorov-Smirnov+ statistic = D+ : 0.21
p-value of test : 0.33 | p-value of test : 0.16
Kolmogorov-Smirnov- statistic = D- : 0.12 | Kolmogorov-Smirnov- statistic = D- : 0.049
p-value of test : 0.52 | p-value of test : 0.88
Anderson-Darling statistic = A2 : 0.52 | Anderson-Darling statistic = A2 : 1.17
p-value of test : 0.73 | p-value of test : 0.28
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:29.60 | CPU time used : 00:02:17.95
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sknuth_MaxOft test: sknuth_MaxOft test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 32 N = 20, n = 10000000, r = 0, d = 100000, t = 32
Number of categories = 100000 Number of categories = 100000
Expected number per category = 100.00 Expected number per category = 100.00
----------------------------------------------- -----------------------------------------------
Test results for chi2 with 99999 degrees of freedom: Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.13 | Kolmogorov-Smirnov+ statistic = D+ : 0.12
p-value of test : 0.44 | p-value of test : 0.52
Kolmogorov-Smirnov- statistic = D- : 0.069 | Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.79 | p-value of test : 0.59
Anderson-Darling statistic = A2 : 0.61 | Anderson-Darling statistic = A2 : 0.39
p-value of test : 0.63 | p-value of test : 0.86
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 1999980 Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6 Chi-square statistic : 2.00e+6
p-value of test : 0.73 | p-value of test : 0.46
----------------------------------------------- -----------------------------------------------
Test results for Anderson-Darling: Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.10 | Kolmogorov-Smirnov+ statistic = D+ : 0.051
p-value of test : 0.62 | p-value of test : 0.87
Kolmogorov-Smirnov- statistic = D- : 0.17 | Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.30 | p-value of test : 0.13
Anderson-Darling statistic = A2 : 0.62 | Anderson-Darling statistic = A2 : 1.03
p-value of test : 0.63 | p-value of test : 0.34
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:37.18 | CPU time used : 00:03:09.26
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleProd test: svaria_SampleProd test:
----------------------------------------------- -----------------------------------------------
N = 40, n = 10000000, r = 0, t = 8 N = 40, n = 10000000, r = 0, t = 8
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.064 | Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.69 | p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.15 | Kolmogorov-Smirnov- statistic = D- : 0.031
p-value of test : 0.14 | p-value of test : 0.91
Anderson-Darling statistic = A2 : 0.75 | Anderson-Darling statistic = A2 : 1.22
p-value of test : 0.52 | p-value of test : 0.26
----------------------------------------------- -----------------------------------------------
CPU time used : 00:02:22.51 | CPU time used : 00:02:56.60
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleProd test: svaria_SampleProd test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 10000000, r = 0, t = 16 N = 20, n = 10000000, r = 0, t = 16
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.075 | Kolmogorov-Smirnov+ statistic = D+ : 0.32
p-value of test : 0.76 | p-value of test : 0.01
Kolmogorov-Smirnov- statistic = D- : 0.12 | Kolmogorov-Smirnov- statistic = D- : 0.023
p-value of test : 0.53 | p-value of test : 0.96
Anderson-Darling statistic = A2 : 0.36 | Anderson-Darling statistic = A2 : 4.19
p-value of test : 0.89 | p-value of test : 7.2e-3
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:25.23 | CPU time used : 00:01:54.68
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleProd test: svaria_SampleProd test:
----------------------------------------------- -----------------------------------------------
N = 20, n = 10000000, r = 0, t = 24 N = 20, n = 10000000, r = 0, t = 24
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.13 | Kolmogorov-Smirnov+ statistic = D+ : 0.067
p-value of test : 0.46 | p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.100 | Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.63 | p-value of test : 0.23
Anderson-Darling statistic = A2 : 0.45 | Anderson-Darling statistic = A2 : 0.92
p-value of test : 0.80 | p-value of test : 0.40
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:39.93 | CPU time used : 00:02:20.75
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleMean test: svaria_SampleMean test:
----------------------------------------------- -----------------------------------------------
N = 20000000, n = 30, r = 0 N = 20000000, n = 30, r = 0
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.84e-4 | Kolmogorov-Smirnov+ statistic = D+ : 2.45e-4
p-value of test : 0.26 | p-value of test : 0.09
Kolmogorov-Smirnov- statistic = D- : 1.52e-4 | Kolmogorov-Smirnov- statistic = D- : 6.71e-5
p-value of test : 0.40 | p-value of test : 0.84
Anderson-Darling statistic = A2 : 0.48 | Anderson-Darling statistic = A2 : 0.75
p-value of test : 0.77 | p-value of test : 0.52
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:20.59 | CPU time used : 00:00:25.96
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleMean test: svaria_SampleMean test:
----------------------------------------------- -----------------------------------------------
N = 20000000, n = 30, r = 10 N = 20000000, n = 30, r = 10
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 6.74e-5 | Kolmogorov-Smirnov+ statistic = D+ : 9.20e-5
p-value of test : 0.83 | p-value of test : 0.71
Kolmogorov-Smirnov- statistic = D- : 1.54e-4 | Kolmogorov-Smirnov- statistic = D- : 1.00e-4
p-value of test : 0.39 | p-value of test : 0.67
Anderson-Darling statistic = A2 : 0.63 | Anderson-Darling statistic = A2 : 0.23
p-value of test : 0.62 | p-value of test : 0.98
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:21.31 | CPU time used : 00:00:27.13
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleCorr test: svaria_SampleCorr test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1 N = 1, n = 2000000000, r = 0, k = 1
----------------------------------------------- -----------------------------------------------
Normal statistic : 0.82 | Normal statistic : -1.25
p-value of test : 0.21 | p-value of test : 0.89
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:14.07 | CPU time used : 00:00:30.53
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SampleCorr test: svaria_SampleCorr test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2 N = 1, n = 2000000000, r = 0, k = 2
----------------------------------------------- -----------------------------------------------
Normal statistic : 0.19 | Normal statistic : 1.50
p-value of test : 0.42 | p-value of test : 0.07
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:14.44 | CPU time used : 00:00:30.70
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_AppearanceSpacings test: svaria_AppearanceSpacings test:
----------------------------------------------- -----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3 N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3
Sequences of n = (K + Q)L = 15150000000 bits Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks Q = 10000000 initialization blocks
K = 1000000000 blocks for the test K = 1000000000 blocks for the test
the blocks have L = 15 bits the blocks have L = 15 bits
----------------------------------------------- -----------------------------------------------
Normal statistic : -0.67 | Normal statistic : 0.14
p-value of test : 0.75 | p-value of test : 0.44
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:48.18 | CPU time used : 00:02:27.29
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_AppearanceSpacings test: svaria_AppearanceSpacings test:
----------------------------------------------- -----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 27, s = N = 1, Q = 10000000, K = 1000000000, r = 27, s =
Sequences of n = (K + Q)L = 15150000000 bits Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks Q = 10000000 initialization blocks
K = 1000000000 blocks for the test K = 1000000000 blocks for the test
the blocks have L = 15 bits the blocks have L = 15 bits
----------------------------------------------- -----------------------------------------------
Normal statistic : 0.32 | Normal statistic : -1.50
p-value of test : 0.37 | p-value of test : 0.93
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:50.94 | CPU time used : 00:02:31.45
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_WeightDistrib test: svaria_WeightDistrib test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, N = 1, n = 20000000, r = 0, k = 256, Alpha = 0,
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 67 Number of degrees of freedom : 67
Chi-square statistic : 52.98 | Chi-square statistic : 56.41
p-value of test : 0.89 | p-value of test : 0.82
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:25.73 | CPU time used : 00:01:16.81
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_WeightDistrib test: svaria_WeightDistrib test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, N = 1, n = 20000000, r = 20, k = 256, Alpha = 0,
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 67 Number of degrees of freedom : 67
Chi-square statistic : 86.18 | Chi-square statistic : 50.40
p-value of test : 0.06 | p-value of test : 0.94
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:35.80 | CPU time used : 00:01:29.25
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_WeightDistrib test: svaria_WeightDistrib test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, N = 1, n = 20000000, r = 28, k = 256, Alpha = 0,
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 67 Number of degrees of freedom : 67
Chi-square statistic : 70.09 | Chi-square statistic : 63.18
p-value of test : 0.37 | p-value of test : 0.61
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:35.60 | CPU time used : 00:01:28.85
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_WeightDistrib test: svaria_WeightDistrib test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, N = 1, n = 20000000, r = 0, k = 256, Alpha = 0,
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 37 Number of degrees of freedom : 37
Chi-square statistic : 33.93 | Chi-square statistic : 25.97
p-value of test : 0.61 | p-value of test : 0.91
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:26.07 | CPU time used : 00:01:16.62
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_WeightDistrib test: svaria_WeightDistrib test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, N = 1, n = 20000000, r = 10, k = 256, Alpha = 0,
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 37 Number of degrees of freedom : 37
Chi-square statistic : 51.89 | Chi-square statistic : 36.57
p-value of test : 0.05 | p-value of test : 0.49
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:35.51 | CPU time used : 00:01:29.02
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_WeightDistrib test: svaria_WeightDistrib test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, N = 1, n = 20000000, r = 26, k = 256, Alpha = 0,
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 37 Number of degrees of freedom : 37
Chi-square statistic : 31.13 | Chi-square statistic : 35.94
p-value of test : 0.74 | p-value of test : 0.52
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:35.72 | CPU time used : 00:01:29.04
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
svaria_SumCollector test: svaria_SumCollector test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 500000000, r = 0, g = 10 N = 1, n = 500000000, r = 0, g = 10
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 29 Number of degrees of freedom : 29
Chi-square statistic : 25.02 | Chi-square statistic : 29.94
p-value of test : 0.68 | p-value of test : 0.42
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:55.06 | CPU time used : 00:02:34.12
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_MatrixRank test: smarsa_MatrixRank test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 1000000, r = 0, s = 5, L = 30, k = N = 10, n = 1000000, r = 0, s = 5, L = 30, k =
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.20 | Kolmogorov-Smirnov+ statistic = D+ : 0.28
p-value of test : 0.40 | p-value of test : 0.18
Kolmogorov-Smirnov- statistic = D- : 0.19 | Kolmogorov-Smirnov- statistic = D- : 3.71e-4
p-value of test : 0.44 | p-value of test : 0.9996 *****
Anderson-Darling statistic = A2 : 0.59 | Anderson-Darling statistic = A2 : 1.61
p-value of test : 0.66 | p-value of test : 0.15
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 40 Number of degrees of freedom : 40
Chi-square statistic : 34.75 | Chi-square statistic : 27.33
p-value of test : 0.70 | p-value of test : 0.94
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:50.52 | CPU time used : 00:01:04.62
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_MatrixRank test: smarsa_MatrixRank test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 1000000, r = 25, s = 5, L = 30, k = N = 10, n = 1000000, r = 25, s = 5, L = 30, k =
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.14 | Kolmogorov-Smirnov+ statistic = D+ : 0.35
p-value of test : 0.61 | p-value of test : 0.07
Kolmogorov-Smirnov- statistic = D- : 0.16 | Kolmogorov-Smirnov- statistic = D- : 0.044
p-value of test : 0.55 | p-value of test : 0.93
Anderson-Darling statistic = A2 : 0.42 | Anderson-Darling statistic = A2 : 2.12
p-value of test : 0.83 | p-value of test : 0.08
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 40 Number of degrees of freedom : 40
Chi-square statistic : 43.01 | Chi-square statistic : 29.15
p-value of test : 0.34 | p-value of test : 0.90
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:50.46 | CPU time used : 00:01:05.68
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_MatrixRank test: smarsa_MatrixRank test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 5000, r = 0, s = 4, L = 1000, k = N = 1, n = 5000, r = 0, s = 4, L = 1000, k =
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 3 Number of degrees of freedom : 3
Chi-square statistic : 3.68 | Chi-square statistic : 8.29
p-value of test : 0.30 | p-value of test : 0.04
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:26.29 | CPU time used : 00:01:39.07
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_MatrixRank test: smarsa_MatrixRank test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 5000, r = 26, s = 4, L = 1000, k = N = 1, n = 5000, r = 26, s = 4, L = 1000, k =
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 3 Number of degrees of freedom : 3
Chi-square statistic : 2.56 | Chi-square statistic : 1.51
p-value of test : 0.46 | p-value of test : 0.68
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:26.21 | CPU time used : 00:01:37.97
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_MatrixRank test: smarsa_MatrixRank test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5 N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 2 Number of degrees of freedom : 2
Chi-square statistic : 0.059 | Chi-square statistic : 3.40
p-value of test : 0.97 | p-value of test : 0.18
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:14.75 | CPU time used : 00:01:20.03
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_MatrixRank test: smarsa_MatrixRank test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5 N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 2 Number of degrees of freedom : 2
Chi-square statistic : 0.41 | Chi-square statistic : 0.34
p-value of test : 0.82 | p-value of test : 0.84
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:07.71 | CPU time used : 00:01:02.90
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_Savir2 test: smarsa_Savir2 test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 10000000, r = 10, m = 1048576, t = 30 N = 10, n = 10000000, r = 10, m = 1048576, t = 30
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.36 | Kolmogorov-Smirnov+ statistic = D+ : 0.26
p-value of test : 0.06 | p-value of test : 0.21
Kolmogorov-Smirnov- statistic = D- : 0.21 | Kolmogorov-Smirnov- statistic = D- : 0.035
p-value of test : 0.36 | p-value of test : 0.95
Anderson-Darling statistic = A2 : 1.86 | Anderson-Darling statistic = A2 : 1.03
p-value of test : 0.11 | p-value of test : 0.34
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 130 Number of degrees of freedom : 130
Chi-square statistic : 109.70 | Chi-square statistic : 108.07
p-value of test : 0.90 | p-value of test : 0.92
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:42.18 | CPU time used : 00:00:51.20
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
smarsa_GCD test: smarsa_GCD test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 50000000, r = 0, s = 30 N = 10, n = 50000000, r = 0, s = 30
----------------------------------------------- -----------------------------------------------
Test results for GCD values: Test results for GCD values:
Kolmogorov-Smirnov+ statistic = D+ : 0.28 | Kolmogorov-Smirnov+ statistic = D+ : 0.20
p-value of test : 0.17 | p-value of test : 0.41
Kolmogorov-Smirnov- statistic = D- : 0.16 | Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.55 | p-value of test : 0.64
Anderson-Darling statistic = A2 : 0.79 | Anderson-Darling statistic = A2 : 0.51
p-value of test : 0.48 | p-value of test : 0.73
Test on the sum of all N observations Test on the sum of all N observations
Number of degrees of freedom : 17430 Number of degrees of freedom : 17430
Chi-square statistic :17391.41 | Chi-square statistic :17336.61
p-value of test : 0.58 | p-value of test : 0.69
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:25.36 | CPU time used : 00:01:32.12
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
swalk_RandomWalk1 test: swalk_RandomWalk1 test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic H Test on the values of the Statistic H
Number of degrees of freedom : 36 Number of degrees of freedom : 36
ChiSquare statistic : 63.88 | ChiSquare statistic : 42.59
p-value of test : 2.9e-3 | p-value of test : 0.21
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Test on the values of the Statistic M Test on the values of the Statistic M
Number of degrees of freedom : 35 Number of degrees of freedom : 35
ChiSquare statistic : 37.45 | ChiSquare statistic : 40.99
p-value of test : 0.36 | p-value of test : 0.22
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic J Test on the values of the Statistic J
Number of degrees of freedom : 25 Number of degrees of freedom : 25
ChiSquare statistic : 28.73 | ChiSquare statistic : 28.87
p-value of test : 0.28 | p-value of test : 0.27
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic R Test on the values of the Statistic R
Number of degrees of freedom : 24 Number of degrees of freedom : 24
ChiSquare statistic : 15.76 | ChiSquare statistic : 32.81
p-value of test : 0.90 | p-value of test : 0.11
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic C Test on the values of the Statistic C
Number of degrees of freedom : 17 Number of degrees of freedom : 17
ChiSquare statistic : 23.70 | ChiSquare statistic : 12.49
p-value of test : 0.13 | p-value of test : 0.77
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:25.84 | CPU time used : 00:00:40.65
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
swalk_RandomWalk1 test: swalk_RandomWalk1 test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic H Test on the values of the Statistic H
Number of degrees of freedom : 36 Number of degrees of freedom : 36
ChiSquare statistic : 47.31 | ChiSquare statistic : 28.21
p-value of test : 0.10 | p-value of test : 0.82
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic M Test on the values of the Statistic M
Number of degrees of freedom : 35 Number of degrees of freedom : 35
ChiSquare statistic : 25.65 | ChiSquare statistic : 39.29
p-value of test : 0.88 | p-value of test : 0.28
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic J Test on the values of the Statistic J
Number of degrees of freedom : 25 Number of degrees of freedom : 25
ChiSquare statistic : 29.00 | ChiSquare statistic : 22.73
p-value of test : 0.26 | p-value of test : 0.59
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic R Test on the values of the Statistic R
Number of degrees of freedom : 24 Number of degrees of freedom : 24
ChiSquare statistic : 21.87 | ChiSquare statistic : 24.68
p-value of test : 0.59 | p-value of test : 0.42
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic C Test on the values of the Statistic C
Number of degrees of freedom : 17 Number of degrees of freedom : 17
ChiSquare statistic : 21.51 | ChiSquare statistic : 20.46
p-value of test : 0.20 | p-value of test : 0.25
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:26.57 | CPU time used : 00:00:41.20
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
swalk_RandomWalk1 test: swalk_RandomWalk1 test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic H Test on the values of the Statistic H
Number of degrees of freedom : 146 Number of degrees of freedom : 146
ChiSquare statistic : 137.82 | ChiSquare statistic : 133.37
p-value of test : 0.67 | p-value of test : 0.76
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic M Test on the values of the Statistic M
Number of degrees of freedom : 146 Number of degrees of freedom : 146
ChiSquare statistic : 161.52 | ChiSquare statistic : 154.96
p-value of test : 0.18 | p-value of test : 0.29
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic J Test on the values of the Statistic J
Number of degrees of freedom : 500 Number of degrees of freedom : 500
ChiSquare statistic : 462.86 | ChiSquare statistic : 531.36
p-value of test : 0.88 | p-value of test : 0.16
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic R Test on the values of the Statistic R
Number of degrees of freedom : 136 Number of degrees of freedom : 136
ChiSquare statistic : 123.62 | ChiSquare statistic : 142.40
p-value of test : 0.77 | p-value of test : 0.34
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic C Test on the values of the Statistic C
Number of degrees of freedom : 74 Number of degrees of freedom : 74
ChiSquare statistic : 83.11 | ChiSquare statistic : 56.74
p-value of test : 0.22 | p-value of test : 0.93
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:30.02 | CPU time used : 00:00:43.79
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
swalk_RandomWalk1 test: swalk_RandomWalk1 test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic H Test on the values of the Statistic H
Number of degrees of freedom : 146 Number of degrees of freedom : 146
ChiSquare statistic : 148.87 | ChiSquare statistic : 153.04
p-value of test : 0.42 | p-value of test : 0.33
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic M Test on the values of the Statistic M
Number of degrees of freedom : 146 Number of degrees of freedom : 146
ChiSquare statistic : 127.39 | ChiSquare statistic : 109.90
p-value of test : 0.86 | p-value of test : 0.99
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic J Test on the values of the Statistic J
Number of degrees of freedom : 500 Number of degrees of freedom : 500
ChiSquare statistic : 503.64 | ChiSquare statistic : 498.10
p-value of test : 0.45 | p-value of test : 0.52
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic R Test on the values of the Statistic R
Number of degrees of freedom : 136 Number of degrees of freedom : 136
ChiSquare statistic : 130.18 | ChiSquare statistic : 132.12
p-value of test : 0.62 | p-value of test : 0.58
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic C Test on the values of the Statistic C
Number of degrees of freedom : 74 Number of degrees of freedom : 74
ChiSquare statistic : 70.69 | ChiSquare statistic : 78.50
p-value of test : 0.59 | p-value of test : 0.34
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:30.78 | CPU time used : 00:00:44.87
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
swalk_RandomWalk1 test: swalk_RandomWalk1 test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic H Test on the values of the Statistic H
Number of degrees of freedom : 384 Number of degrees of freedom : 384
ChiSquare statistic : 348.75 | ChiSquare statistic : 390.72
p-value of test : 0.90 | p-value of test : 0.40
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic M Test on the values of the Statistic M
Number of degrees of freedom : 384 Number of degrees of freedom : 384
ChiSquare statistic : 331.51 | ChiSquare statistic : 412.78
p-value of test : 0.98 | p-value of test : 0.15
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic J Test on the values of the Statistic J
Number of degrees of freedom : 5000 Number of degrees of freedom : 5000
ChiSquare statistic : 5210.34 | ChiSquare statistic : 4943.32
p-value of test : 0.02 | p-value of test : 0.71
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic R Test on the values of the Statistic R
Number of degrees of freedom : 378 Number of degrees of freedom : 378
ChiSquare statistic : 392.64 | ChiSquare statistic : 378.67
p-value of test : 0.29 | p-value of test : 0.48
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic C Test on the values of the Statistic C
Number of degrees of freedom : 200 Number of degrees of freedom : 200
ChiSquare statistic : 202.46 | ChiSquare statistic : 214.78
p-value of test : 0.44 | p-value of test : 0.23
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:27.29 | CPU time used : 00:00:34.59
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
swalk_RandomWalk1 test: swalk_RandomWalk1 test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic H Test on the values of the Statistic H
Number of degrees of freedom : 384 Number of degrees of freedom : 384
ChiSquare statistic : 344.83 | ChiSquare statistic : 379.20
p-value of test : 0.93 | p-value of test : 0.56
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic M Test on the values of the Statistic M
Number of degrees of freedom : 384 Number of degrees of freedom : 384
ChiSquare statistic : 443.14 | ChiSquare statistic : 394.27
p-value of test : 0.02 | p-value of test : 0.35
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic J Test on the values of the Statistic J
Number of degrees of freedom : 5000 Number of degrees of freedom : 5000
ChiSquare statistic : 4912.38 | ChiSquare statistic : 5093.40
p-value of test : 0.81 | p-value of test : 0.17
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic R Test on the values of the Statistic R
Number of degrees of freedom : 378 Number of degrees of freedom : 378
ChiSquare statistic : 373.00 | ChiSquare statistic : 364.23
p-value of test : 0.56 | p-value of test : 0.69
----------------------------------------------- -----------------------------------------------
Test on the values of the Statistic C Test on the values of the Statistic C
Number of degrees of freedom : 200 Number of degrees of freedom : 200
ChiSquare statistic : 202.90 | ChiSquare statistic : 195.50
p-value of test : 0.43 | p-value of test : 0.58
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:26.29 | CPU time used : 00:00:37.20
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
scomp_LinearComp test: scomp_LinearComp test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 400020, r = 0, s = 1 N = 1, n = 400020, r = 0, s = 1
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 12 Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 17.59 | Chi2 statistic for size of jumps : 10.46
p-value of test : 0.13 | p-value of test : 0.58
----------------------------------------------- -----------------------------------------------
Normal statistic for number of jumps : -402.61 | Normal statistic for number of jumps : -402.66
p-value of test : 1 - eps1 ***** p-value of test : 1 - eps1 *****
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:05.45 | CPU time used : 00:00:05.56
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
scomp_LinearComp test: scomp_LinearComp test:
----------------------------------------------- -----------------------------------------------
N = 1, n = 400020, r = 29, s = 1 N = 1, n = 400020, r = 29, s = 1
----------------------------------------------- -----------------------------------------------
Number of degrees of freedom : 12 Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 10.11 | Chi2 statistic for size of jumps : 3.81
p-value of test : 0.61 | p-value of test : 0.99
----------------------------------------------- -----------------------------------------------
Normal statistic for number of jumps : -402.53 | Normal statistic for number of jumps : -402.82
p-value of test : 1 - eps1 ***** p-value of test : 1 - eps1 *****
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:05.42 | CPU time used : 00:00:05.59
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
scomp_LempelZiv test: scomp_LempelZiv test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 134217728, r = 0, s = 30, k = 27 N = 10, n = 134217728, r = 0, s = 30, k = 27
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.050 | Kolmogorov-Smirnov+ statistic = D+ : 0.085
p-value of test : 0.92 | p-value of test : 0.82
Kolmogorov-Smirnov- statistic = D- : 0.28 | Kolmogorov-Smirnov- statistic = D- : 0.24
p-value of test : 0.17 | p-value of test : 0.27
Anderson-Darling statistic = A2 : 1.00 | Anderson-Darling statistic = A2 : 0.65
p-value of test : 0.36 | p-value of test : 0.60
Tests on the sum of all N observations Tests on the sum of all N observations
Standardized normal statistic : 1.17 | Standardized normal statistic : 0.58
p-value of test : 0.12 | p-value of test : 0.28
Sample variance : 0.95 | Sample variance : 1.18
p-value of test : 0.48 | p-value of test : 0.31
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:11.38 | CPU time used : 00:01:12.23
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
scomp_LempelZiv test: scomp_LempelZiv test:
----------------------------------------------- -----------------------------------------------
N = 10, n = 134217728, r = 15, s = 15, k = 27 N = 10, n = 134217728, r = 15, s = 15, k = 27
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.17 | Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.49 | p-value of test : 0.45
Kolmogorov-Smirnov- statistic = D- : 0.31 | Kolmogorov-Smirnov- statistic = D- : 0.27
p-value of test : 0.12 | p-value of test : 0.20
Anderson-Darling statistic = A2 : 1.35 | Anderson-Darling statistic = A2 : 0.80
p-value of test : 0.22 | p-value of test : 0.48
Tests on the sum of all N observations Tests on the sum of all N observations
Standardized normal statistic : 0.49 | Standardized normal statistic : 0.15
p-value of test : 0.31 | p-value of test : 0.44
Sample variance : 1.88 | Sample variance : 1.49
p-value of test : 0.05 | p-value of test : 0.14
----------------------------------------------- -----------------------------------------------
CPU time used : 00:01:04.15 | CPU time used : 00:01:05.02
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sspectral_Fourier3 test: sspectral_Fourier3 test:
----------------------------------------------- -----------------------------------------------
N = 100000, n = 16384, r = 0, s = 3, k = 14 N = 100000, n = 16384, r = 0, s = 3, k = 14
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 9.98e-3 | Kolmogorov-Smirnov+ statistic = D+ : 7.48e-3
p-value of test : 0.44 | p-value of test : 0.63
Kolmogorov-Smirnov- statistic = D- : 0.017 | Kolmogorov-Smirnov- statistic = D- : 0.012
p-value of test : 0.09 | p-value of test : 0.29
Anderson-Darling statistic = A2 : 1.98 | Anderson-Darling statistic = A2 : 0.71
p-value of test : 0.09 | p-value of test : 0.55
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:33.88 | CPU time used : 00:00:42.88
Generator state: Generator state:
Not shown here ... takes too much space Not shown here ... takes too much space
*********************************************************** ***********************************************************
HOST = xenial1, Linux HOST = xenial1, Linux
ugfsr_CreateMT19937_02: seed = 12345679 | ugfsr_CreateMT19937_PHP: seed = 12345679
sspectral_Fourier3 test: sspectral_Fourier3 test:
----------------------------------------------- -----------------------------------------------
N = 100000, n = 16384, r = 27, s = 3, k = 14 N = 100000, n = 16384, r = 27, s = 3, k = 14
----------------------------------------------- -----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.010 | Kolmogorov-Smirnov+ statistic = D+ : 5.45e-3
p-value of test : 0.41 | p-value of test : 0.78
Kolmogorov-Smirnov- statistic = D- : 4.49e-3 | Kolmogorov-Smirnov- statistic = D- : 0.012
p-value of test : 0.85 | p-value of test : 0.29
Anderson-Darling statistic = A2 : 0.23 | Anderson-Darling statistic = A2 : 0.55
p-value of test : 0.98 | p-value of test : 0.70
----------------------------------------------- -----------------------------------------------
CPU time used : 00:00:33.90 | CPU time used : 00:00:41.82
Generator state: Generator state: