TestU01 results
BigCrush battery test
The BigCrush battery of tests is a thing of modern legend. When it
first appeared as a test for PRNG algorithms it left almost nothing
still standing. Even algorithms which were long thought to be good, by
respected authorities on the subject, crumbled under the pressure that
it brought to bear on them. It consumes an enormous number of bits
(about 5 times more than a default Dieharder run does), but on a
reasonably modest modern machine can still get through them in under
4 hours.
Somewhat curiously though, in our testing we've mostly found that
any stream of bits which does not already fail at least one test in the
Crush battery, will also usually
get past this one without failure too. Which isn't a totally surprising
result, and in no way diminishes the extra power which this test has for
finding statistical anomalies. It seems to be more a function of the
particular foibles of hardware generated random numbers. Since their
weakness, if it exists, does not usually depend on the long periods or
other fine pattern details of a deterministic algorithm, it would seem
that (for the designs which we have tested at least), either they do
have some real and fatal flaw in their operation, and that is sufficient
for a smaller test suite like Crush (or for some of our continuous tests
over the long term) to detect it – or the samples from them really
are independent and identically distributed to within a margin of error
that is still not statistically significant even in tests of this size
and power. We might be able to contrive a device that deliberately falls
between what Crush and BigCrush can detect, but we haven't seen the same
sort of gap between them as we saw between what would pass lesser tests
seemingly easily, yet have reality come crashing down brutally hard on
it when analysed by Crush.
When the output of a device failed the Crush battery, it would then
usually also fail this battery much more severely and in many more tests,
but since it only takes just one convincingly certain failure to prove
that a RNG is bad, also running this test on such a device mostly became
a demonstration of shooting fish in a barrel. If we already knew that
it was bad, even in only one test, this battery would just run amok with
bracketing the litany of other ways in which that failure was also
clearly observable.
Failing to fail
Not failing BigCrush though is still no guarantee that some
test, which was able to better model the source, would not be able to
detect a real weakness – but there is a limit, beyond which simply
increasing the statistical power of existing tests starts to have less
value in real terms. If an adversary is able to determine that there is
a small statistical anomaly of one part in some huge number of samples
(say for example, the number that it would take a full year to completely
analyse), does that really give them any practical advantage beyond
chance at predicting the output? Even if we (and they) can detect that
quickly, the risk of it being exploitable does diminish unless it leads
to the discovery of some much more powerful mechanism for prediction.
None of which means that you can safely handwave away a genuine failure
of any of the currently existing test suites, but the question of how
much more statistically powerful they can usefully be made without
creating some entirely new test statistic is a real constraint, since at
some point numeric precision will itself become the limiting error.
In the run shown here, TestU01 again does not flag any result as
being outside of its significance thresholds, but detailed inspection
of the results shows that two of them are just beyond the limit of what
Dieharder would classify as uncertain (with around a 1 in 240 chance
that a random sample would exceed it). Once again we've failed to
prove that this source is bad, but only more testing can improve the
confidence that a future test with this battery would not do so.
For this particular test run, it is also important to note that not
all of the tests are strictly independent. Since we wanted to run this
demonstration of BigCrush over exactly the same bitstream that we had
already analysed earlier with
Dieharder to give something of an
apples to apples comparison of what they detected in it, that means we
didn't have enough bits for the full run of BigCrush. We dealt with that
here by treating the 230GB of samples from Dieharder as a circular
buffer, 'transparently' reading from the beginning again after we get to
the end. No single test in BigCrush uses so many bits that it will have
seen the same sequence of them twice, but some tests have been run over
the same set of bits as others were. In one respect that is a Good Thing
here, it means each non-overlapping subset of bits was subjected to more
than one of the BigCrush tests – but it does mean that the p-values
from all tests cannot themselves be considered IID for the sake of doing
further analysis of their distribution. Since BigCrush does not itself
test that, it has no influence on any of the outcomes that it reports.
The log below is marked with the five places where the bitstream was
'rewound' to start again at the beginning. The results of tests entirely
between any of those points are still independent though (except where
BigCrush itself runs more than one statistic on a single block of
samples making them not so).
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting BigCrush
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 1000000000, r = 0, d = 256, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 59.604645
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7
p-value of test : 0.41
-----------------------------------------------
CPU time used : 00:01:25.70
Generator state:
32000000000 bits have been read.
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 1000000000, r = 22, d = 256, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 59.604645
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:01:31.15
Generator state:
64000000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 2097152, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1381
p-value of test : 0.33
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334501
j = 1 : 599997238
j = 2 : 1381
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:58.69
Generator state:
83200000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 9, d = 2097152, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1345
p-value of test : 0.69
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334465
j = 1 : 599997310
j = 2 : 1345
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:54.57
Generator state:
102400000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 16384, t = 3,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1413
p-value of test : 0.10
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334533
j = 1 : 599997174
j = 2 : 1413
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:53.30
Generator state:
121600000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 16, d = 16384, t = 3,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1400
p-value of test : 0.17
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334520
j = 1 : 599997200
j = 2 : 1400
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:49.63
Generator state:
140800000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 64, t = 7,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1267
p-value of test : 0.9959
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334387
j = 1 : 599997466
j = 2 : 1267
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:50.36
Generator state:
160000000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 24, d = 64, t = 7,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1304
p-value of test : 0.95
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334424
j = 1 : 599997392
j = 2 : 1304
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:59.25
Generator state:
179200000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 8, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1409
p-value of test : 0.12
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334529
j = 1 : 599997182
j = 2 : 1409
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:53.13
Generator state:
198400000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 27, d = 8, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1323
p-value of test : 0.87
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334443
j = 1 : 599997354
j = 2 : 1323
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:52.98
Generator state:
217600000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1365
p-value of test : 0.50
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334485
j = 1 : 599997270
j = 2 : 1365
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:56.94
Generator state:
236800000000 bits have been read.
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 28, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1380
p-value of test : 0.34
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334500
j = 1 : 599997240
j = 2 : 1380
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:52.27
Generator state:
256000000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1
Number of cells = d^t = 4611686018427387904
Lambda = Poisson mean = 54.2101
----------------------------------------------------
Total expected number = N*Lambda : 5421.01
Total observed number : 5366
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:03:30.97
Generator state:
320000000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4336
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:32.30
Generator state:
358400000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7239
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:02:32.72
Generator state:
435200000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4392
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:01:52.81
Generator state:
524800000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4265
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:01:56.85
Generator state:
614400000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7418
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:03:06.68
Generator state:
768000000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7455
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:03:06.63
Generator state:
921600000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7424
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:04:02.10
Generator state:
1228800000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7385
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:04:16.09
Generator state:
1536000000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
snpair_ClosePairs test:
-----------------------------------------------
N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.36
p-value of test : 0.21
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.57
p-value of test : 0.68
Test on the Nm values of W_{n,i}(mNP1): 0.80
p-value of test : 0.48
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 865
p-value of test : 0.88
Stat. AD (mNP2) : 0.55
p-value of test : 0.70
Stat. AD after spacings (mNP2-S) : 1.07
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:02:14.02
Generator state:
1553280000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
snpair_ClosePairs test:
-----------------------------------------------
N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.01
p-value of test : 0.35
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 1.24
p-value of test : 0.25
Test on the Nm values of W_{n,i}(mNP1): 0.62
p-value of test : 0.63
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 600
p-value of test : 0.51
Stat. AD (mNP2) : 1.55
p-value of test : 0.16
Stat. AD after spacings (mNP2-S) : 0.52
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:01:28.36
Generator state:
1566080000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
snpair_ClosePairs test:
-----------------------------------------------
N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.77
p-value of test : 0.50
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.79
p-value of test : 0.48
Test on the Nm values of W_{n,i}(mNP1): 1.29
p-value of test : 0.23
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 313
p-value of test : 0.23
Stat. AD (mNP2) : 1.66
p-value of test : 0.14
Stat. AD after spacings (mNP2-S) : 0.91
p-value of test : 0.41
-----------------------------------------------
CPU time used : 00:02:18.22
Generator state:
1574720000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
snpair_ClosePairs test:
-----------------------------------------------
N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.28
p-value of test : 0.95
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.40
p-value of test : 0.84
Test on the Nm values of W_{n,i}(mNP1): 1.58
p-value of test : 0.16
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 132
p-value of test : 0.93
Stat. AD (mNP2) : 0.28
p-value of test : 0.95
Stat. AD after spacings (mNP2-S) : 1.81
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:02:37.25
Generator state:
1579840000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 0, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 9.93
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:01:12.67
Generator state:
1682240000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 27, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 7.58
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:01:28.27
Generator state:
1784640000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 29.50
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:01:15.60
Generator state:
1887040000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, d = 32, k = 32
1971905953792 bits have been read.
EOF, rewinding dieharder-bbwhite-f1-20150505.bits
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 19.67
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:01:31.00
Generator state:
1989440000000 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 0, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 45.80
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:01:17.78
Generator state:
2128479702368 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 10, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 77.07
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:01:27.38
Generator state:
2267504900896 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 20, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 69.40
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:01:27.52
Generator state:
2406540395360 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 27, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 56.04
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:01:27.51
Generator state:
2545577215968 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 232
Chi-square statistic : 228.06
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:01:40.85
Generator state:
2801586866784 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
-----------------------------------------------
Number of degrees of freedom : 434
Chi-square statistic : 441.16
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:02:16.76
Generator state:
3108761501792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125
-----------------------------------------------
Number of degrees of freedom : 1437
Chi-square statistic : 1493.21
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:02:31.22
Generator state:
3518365384032 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562
-----------------------------------------------
Number of degrees of freedom : 7046
Chi-square statistic : 7093.31
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:02:19.68
Generator state:
3845879525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_Run test:
-----------------------------------------------
N = 5, n = 1000000000, r = 0, Up = FALSE
3943811907584 bits have been read.
EOF, rewinding dieharder-bbwhite-f1-20150505.bits
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.49
p-value of test : 0.06
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.53
Anderson-Darling statistic = A2 : 2.15
p-value of test : 0.08
Test on the sum of all N observations
Number of degrees of freedom : 30
Chi-square statistic : 23.43
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:01:22.85
Generator state:
4005879525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_Run test:
-----------------------------------------------
N = 10, n = 1000000000, r = 15, Up = TRUE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.33
p-value of test : 0.09
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.47
Anderson-Darling statistic = A2 : 1.32
p-value of test : 0.23
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 62.28
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:03:17.81
Generator state:
4325879525760 bits have been read.
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6
Expected number per cell = 1.6666667e+08
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 2.5000002e-09, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5
Value of the statistic : 7.70
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:00:58.19
Generator state:
4421879525760 bits have been read.
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 5,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 120
Expected number per cell = 8333333.3
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 5.9500005e-08, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 119
Value of the statistic : 122.15
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:01:40.78
Generator state:
4581879525760 bits have been read.
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 500000000, r = 5, t = 7,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 5040
Expected number per cell = 99206.349
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 5.0390004e-06, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5039
Value of the statistic : 5054.11
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:17.34
Generator state:
4693879525760 bits have been read.
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 500000000, r = 10, t = 10,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 3628800
Expected number per cell = 137.7866
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0036287993, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 3628799
Value of the statistic : 3.63e+6
p-value of test : 0.27
-----------------------------------------------
CPU time used : 00:02:43.92
Generator state:
4853879525760 bits have been read.
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_Multinomial test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = 47.8841
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 45896
p-value of test : 0.47
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869896
j = 1 : 399908211
j = 2 : 45890
j = 3 : 3
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:01.95
Generator state:
5033079525760 bits have been read.
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smultin_Multinomial test:
-----------------------------------------------
N = 20, n = 20000000, r = 10, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = 47.8841
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 46033
p-value of test : 0.24
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165870033
j = 1 : 399907936
j = 2 : 46029
j = 3 : 2
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:11.97
Generator state:
5212279525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_MaxOft test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, d = 100000, t = 8
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.073
p-value of test : 0.63
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.20
Anderson-Darling statistic = A2 : 0.85
p-value of test : 0.45
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 4.00e+6
p-value of test : 0.20
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.040
p-value of test : 0.86
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:02:36.62
Generator state:
5314679525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_MaxOft test:
-----------------------------------------------
N = 30, n = 10000000, r = 0, d = 100000, t = 16
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.074
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.39
Anderson-Darling statistic = A2 : 0.52
p-value of test : 0.73
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6
p-value of test : 0.41
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.027
p-value of test : 0.94
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.17
Anderson-Darling statistic = A2 : 0.72
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:02:26.47
Generator state:
5468279525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_MaxOft test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 24
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.14
p-value of test : 0.43
Kolmogorov-Smirnov- statistic = D- : 0.070
p-value of test : 0.79
Anderson-Darling statistic = A2 : 0.27
p-value of test : 0.96
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.66
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.081
p-value of test : 0.73
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.41
Anderson-Darling statistic = A2 : 0.55
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:01:55.96
Generator state:
5621879525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sknuth_MaxOft test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 32
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.24
p-value of test : 0.08
Kolmogorov-Smirnov- statistic = D- : 0.040
p-value of test : 0.92
Anderson-Darling statistic = A2 : 1.12
p-value of test : 0.30
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.87
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.11
p-value of test : 0.56
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.37
Anderson-Darling statistic = A2 : 0.52
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:02:13.84
Generator state:
5826679525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleProd test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, t = 8
5915717861376 bits have been read.
EOF, rewinding dieharder-bbwhite-f1-20150505.bits
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.077
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.10
p-value of test : 0.41
Anderson-Darling statistic = A2 : 0.31
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:01:58.03
Generator state:
5929079525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 16
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.45
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.07
Anderson-Darling statistic = A2 : 1.46
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:01:27.20
Generator state:
6031479525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 24
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.14
p-value of test : 0.40
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.52
Anderson-Darling statistic = A2 : 0.82
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:01:54.48
Generator state:
6185079525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.09e-4
p-value of test : 0.62
Kolmogorov-Smirnov- statistic = D- : 2.47e-4
p-value of test : 0.09
Anderson-Darling statistic = A2 : 1.44
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:00:28.18
Generator state:
6204279525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.96e-4
p-value of test : 0.21
Kolmogorov-Smirnov- statistic = D- : 1.80e-4
p-value of test : 0.27
Anderson-Darling statistic = A2 : 1.17
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:00:29.00
Generator state:
6223479525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -1.43
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:00:26.42
Generator state:
6287479525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : 0.67
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:00:26.54
Generator state:
6351479525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : 0.25
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:01:37.61
Generator state:
6513079525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -0.032
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:01:39.60
Generator state:
6674679525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 68.91
p-value of test : 0.41
-----------------------------------------------
CPU time used : 00:01:02.56
Generator state:
6838519525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 68.89
p-value of test : 0.41
-----------------------------------------------
CPU time used : 00:01:13.85
Generator state:
7002359525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 81.61
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:01:13.93
Generator state:
7166199525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 46.07
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:01:02.53
Generator state:
7330039525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 33.78
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:01:13.89
Generator state:
7493879525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 33.64
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:01:14.00
Generator state:
7657719525760 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
svaria_SumCollector test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, g = 10
7887623815168 bits have been read.
EOF, rewinding dieharder-bbwhite-f1-20150505.bits
-----------------------------------------------
Number of degrees of freedom : 29
Chi-square statistic : 14.29
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:02:06.07
Generator state:
7988385125792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.085
p-value of test : 0.82
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.45
Anderson-Darling statistic = A2 : 0.29
p-value of test : 0.95
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 43.47
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:02.40
Generator state:
8045985125792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.51
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.48
Anderson-Darling statistic = A2 : 0.56
p-value of test : 0.68
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 44.20
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:01:02.26
Generator state:
8103585125792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 2.19
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:02:43.87
Generator state:
8143585125792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 0.78
p-value of test : 0.85
-----------------------------------------------
CPU time used : 00:02:43.87
Generator state:
8183585125792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 1.63
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:59.34
Generator state:
8187860325792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 5.55
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:01:32.79
Generator state:
8189997925792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_Savir2 test:
-----------------------------------------------
N = 10, n = 10000000, r = 10, m = 1048576, t = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.56
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.52
Anderson-Darling statistic = A2 : 0.43
p-value of test : 0.82
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 132.41
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:00:41.62
Generator state:
8285997925792 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
smarsa_GCD test:
-----------------------------------------------
N = 10, n = 50000000, r = 0, s = 30
-----------------------------------------------
Test results for GCD values:
Kolmogorov-Smirnov+ statistic = D+ : 0.21
p-value of test : 0.36
Kolmogorov-Smirnov- statistic = D- : 0.10
p-value of test : 0.75
Anderson-Darling statistic = A2 : 0.66
p-value of test : 0.59
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :17318.76
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:01:37.47
Generator state:
8317997925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 36
ChiSquare statistic : 47.72
p-value of test : 0.09
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 41.85
p-value of test : 0.20
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 28.77
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 22.33
p-value of test : 0.56
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 16.69
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:00:49.72
Generator state:
8349997925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 36
ChiSquare statistic : 17.61
p-value of test : 0.9957
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 24.77
p-value of test : 0.90
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 21.43
p-value of test : 0.67
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 31.03
p-value of test : 0.15
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 20.91
p-value of test : 0.23
-----------------------------------------------
CPU time used : 00:00:50.61
Generator state:
8381997925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 146
ChiSquare statistic : 150.02
p-value of test : 0.39
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 131.48
p-value of test : 0.80
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 502.09
p-value of test : 0.47
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 139.38
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 83.28
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:01:18.35
Generator state:
8413997925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 146
ChiSquare statistic : 147.38
p-value of test : 0.45
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 151.53
p-value of test : 0.36
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 506.29
p-value of test : 0.41
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 125.91
p-value of test : 0.72
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 75.17
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:19.10
Generator state:
8445997925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 384
ChiSquare statistic : 371.28
p-value of test : 0.67
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 352.53
p-value of test : 0.87
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5070.24
p-value of test : 0.24
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 333.33
p-value of test : 0.95
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 207.51
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:01:10.73
Generator state:
8467341925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 384
ChiSquare statistic : 418.90
p-value of test : 0.11
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 373.10
p-value of test : 0.65
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4964.15
p-value of test : 0.64
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 380.81
p-value of test : 0.45
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 185.92
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:01:11.05
Generator state:
8488685925856 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 0, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 3.75
p-value of test : 0.99
-----------------------------------------------
Normal statistic for number of jumps : 0.097
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:01:58.09
Generator state:
8488698726496 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 29, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 5.68
p-value of test : 0.93
-----------------------------------------------
Normal statistic for number of jumps : 0.96
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:01:59.09
Generator state:
8488711527136 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 0, s = 30, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.15
p-value of test : 0.57
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.50
Anderson-Darling statistic = A2 : 0.33
p-value of test : 0.91
Tests on the sum of all N observations
Standardized normal statistic : 0.36
p-value of test : 0.36
Sample variance : 0.75
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:50.12
Generator state:
8490143183136 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 15, s = 15, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.097
p-value of test : 0.77
Kolmogorov-Smirnov- statistic = D- : 0.26
p-value of test : 0.22
Anderson-Darling statistic = A2 : 0.72
p-value of test : 0.54
Tests on the sum of all N observations
Standardized normal statistic : 0.12
p-value of test : 0.45
Sample variance : 1.38
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:00:52.12
Generator state:
8493006494816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 0, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.018
p-value of test : 0.06
Kolmogorov-Smirnov- statistic = D- : 0.014
p-value of test : 0.20
Anderson-Darling statistic = A2 : 2.46
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:00:41.20
Generator state:
8510484894816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 27, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 8.69e-3
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 7.39e-3
p-value of test : 0.64
Anderson-Darling statistic = A2 : 0.21
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:00:40.04
Generator state:
8527963294816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 0, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 7.40
p-value of test : 0.49
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:27.45
Generator state:
8634630174816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 27, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 5.91
p-value of test : 0.66
-----------------------------------------------
Global longest run of 1 : 36.00
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:01:28.12
Generator state:
8741297054816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 0, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.091
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.59
Anderson-Darling statistic = A2 : 0.36
p-value of test : 0.88
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 204.53
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:02:12.31
Generator state:
8901297054816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 20, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.092
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.33
Anderson-Darling statistic = A2 : 0.47
p-value of test : 0.77
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 207.74
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:02:15.64
Generator state:
9061297054816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 0, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.098
p-value of test : 0.77
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.23
Anderson-Darling statistic = A2 : 0.52
p-value of test : 0.72
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10069.33
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:00:57.59
Generator state:
9167963934816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 27, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.15
p-value of test : 0.58
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.65
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.70
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9963.61
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:00:58.78
Generator state:
9274630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 1000000000, r = 10, s = 10, L = 30
-----------------------------------------------
Normal statistic : -0.94
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:01:06.62
Generator state:
9370630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 300
-----------------------------------------------
Normal statistic : 0.055
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:01:04.12
Generator state:
9466630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 1200
-----------------------------------------------
Normal statistic : 1.69
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:04:14.79
Generator state:
9850630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0
9859529768960 bits have been read.
EOF, rewinding dieharder-bbwhite-f1-20150505.bits
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.093
p-value of test : 0.79
Kolmogorov-Smirnov- statistic = D- : 0.29
p-value of test : 0.15
Anderson-Darling statistic = A2 : 0.84
p-value of test : 0.45
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4959.99
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:01:50.54
Generator state:
10042630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.35
p-value of test : 0.06
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.53
Anderson-Darling statistic = A2 : 1.28
p-value of test : 0.24
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4853.54
p-value of test : 0.64
-----------------------------------------------
CPU time used : 00:01:52.02
Generator state:
10234630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4146.96
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:01:22.38
Generator state:
10378630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4266.12
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:01:23.29
Generator state:
10522630814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :11614.51
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:01:30.30
Generator state:
10676230814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :11751.23
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:01:32.62
Generator state:
10829830814816 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000000
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 57.93
p-value of test : 0.33
-----------------------------------------------
Total number of bits: 7999893693
Normal statistic for number of bits : -0.84
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:01:05.87
Generator state:
10915163014208 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 27, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000000
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 48.02
p-value of test : 0.70
-----------------------------------------------
Total number of bits: 7999992681
Normal statistic for number of bits : -0.058
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:01:07.78
Generator state:
11000496269472 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 0, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 6.28e-3
p-value of test : 0.9934
Kolmogorov-Smirnov- statistic = D- : 0.27
p-value of test : 0.19
Anderson-Darling statistic = A2 : 1.61
p-value of test : 0.15
Tests on the sum of all N observations
Standardized normal statistic : 1.76
p-value of test : 0.04
Sample variance : 1.40
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:02:17.10
Generator state:
11107162939552 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 0, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.47
Anderson-Darling statistic = A2 : 0.52
p-value of test : 0.73
Tests on the sum of all N observations
Standardized normal statistic : 0.34
p-value of test : 0.37
Sample variance : 0.44
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:02:02.07
Generator state:
11213829609632 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 27, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.26
p-value of test : 0.22
Kolmogorov-Smirnov- statistic = D- : 0.035
p-value of test : 0.95
Anderson-Darling statistic = A2 : 1.62
p-value of test : 0.15
Tests on the sum of all N observations
Standardized normal statistic : -1.61
p-value of test : 0.95
Sample variance : 1.01
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:02:19.52
Generator state:
11320496279712 bits have been read.
***********************************************************
HOST = itb1, Linux
ufile_CreateReadBin: dieharder-bbwhite-f1-20150505.bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 27, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.32
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.69
Anderson-Darling statistic = A2 : 1.23
p-value of test : 0.26
Tests on the sum of all N observations
Standardized normal statistic : -0.70
p-value of test : 0.76
Sample variance : 1.20
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:02:04.44
Generator state:
11427162949792 bits have been read.
========= Summary results of BigCrush =========
Version: TestU01 1.2.3
Generator: ufile_CreateReadBin
Number of statistics: 160
Total CPU time: 03:26:09.39
All tests were passed