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From er...@apache.org
Subject [16/53] [abbrv] [math] MATH-1335.
Date Thu, 21 Apr 2016 23:15:02 GMT
http://git-wip-us.apache.org/repos/asf/commons-math/blob/6ddf4769/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1
----------------------------------------------------------------------
diff --git a/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1 b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1
new file mode 100644
index 0000000..d6c6991
--- /dev/null
+++ b/src/site/resources/txt/userguide/rng/stress/tu/run_2/tu_1
@@ -0,0 +1,3879 @@
+# 
+# RNG: org.apache.commons.math4.rng.internal.source32.JDKRandom
+# 
+# Java: 1.8.0_66
+# Runtime: 1.8.0_66-b17
+# JVM: Java HotSpot(TM) 64-Bit Server VM 25.66-b17
+# OS: Linux 3.16.0-4-amd64 amd64
+# 
+# Analyzer: ../stdin2testu01 BigCrush 
+# 
+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+                 Starting BigCrush
+                 Version: TestU01 1.2.3
+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+
+
+***********************************************************
+Test smarsa_SerialOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                : 1.99e+9
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:13.19
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_SerialOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                       :    0.9969
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:19.32
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :        0
+p-value of test                       : 1 - eps1    *****
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795333120
+  j =  1                              :        600000000
+  j =  2                              :                0
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:05:40.80
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :     1306
+p-value of test                       :    0.94
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795334426
+  j =  1                              :        599997388
+  j =  2                              :             1306
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:05:37.88
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :        0
+p-value of test                       : 1 - eps1    *****
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795333120
+  j =  1                              :        600000000
+  j =  2                              :                0
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:06:31.99
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :     1369
+p-value of test                       :    0.45
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795334489
+  j =  1                              :        599997262
+  j =  2                              :             1369
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:07:19.19
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         : 348341582
+p-value of test                       :   eps      *****
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131941143674702
+  j =  1                              :              178
+  j =  2                              :        154974898
+  j =  3                              :         96683342
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:03:53.35
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :     1344
+p-value of test                       :    0.70
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795334464
+  j =  1                              :        599997312
+  j =  2                              :             1344
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:06:00.42
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         : 348341375
+p-value of test                       :   eps      *****
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131941143674495
+  j =  1                              :              385
+  j =  2                              :        154975105
+  j =  3                              :         96683135
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:04:48.90
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :     1275
+p-value of test                       :    0.9923
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795334395
+  j =  1                              :        599997450
+  j =  2                              :             1275
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:07:12.96
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         : 348341178
+p-value of test                       :   eps      *****
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131941143674298
+  j =  1                              :              582
+  j =  2                              :        154975302
+  j =  3                              :         96682938
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:04:45.15
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test smarsa_CollisionOver calling smultin_MultinomialOver
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :     1325
+p-value of test                       :    0.85
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :  131940795334445
+  j =  1                              :        599997350
+  j =  2                              :             1325
+  j =  3                              :                0
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:06:48.17
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 11931429
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:05:15.17
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 201419736
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:17.52
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 4285944
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:04:00.26
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 396240529
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:36.35
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 313506243
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:03:00.43
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 85305678
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:04:29.93
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 :  743608
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:04:05.72
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 595343120
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:03:51.89
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                 : 5161744
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:05:14.84
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+snpair_ClosePairs test:
+-----------------------------------------------
+   N = 30,  n = 6000000,  r =  0,  t = 3,  p = 0,  m = 30,  Torus =  TRUE
+
+*********  WARNING in file  ../../probdist/gofs.c  on line  462
+*********  gofs_AndersonDarling:   N <= 0
+*********  WARNING in file  ../../probdist/fbar.c  on line  499
+*********  fbar_AndersonDarling:   N < 1
+
+---------------------------------------
+Test based on the 2 nearest points (NP):
+
+Stat. AD on the N values (NP)         : 1072.10
+p-value of test                       :   eps      *****
+
+
+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)    :  659.39
+p-value of test                       :1.6e-288    *****
+
+Test on the Nm values of W_{n,i}(mNP1):  685.89
+p-value of test                       :4.9e-300    *****
+
+Test on the jump times of Y
+   (superposition of Yn):
+
+Expected number of jumps of Y = mN    :     900
+Number of jumps of Y                  :       0
+p-value of test                       : 1 - eps1    *****
+
+-----------------------------------------------
+CPU time used                    :  00:03:19.69
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+snpair_ClosePairs test:
+-----------------------------------------------
+   N = 20,  n = 4000000,  r =  0,  t = 5,  p = 0,  m = 30,  Torus =  TRUE
+
+*********  WARNING in file  ../../probdist/gofs.c  on line  462
+*********  gofs_AndersonDarling:   N <= 0
+*********  WARNING in file  ../../probdist/fbar.c  on line  499
+*********  fbar_AndersonDarling:   N < 1
+
+---------------------------------------
+Test based on the 2 nearest points (NP):
+
+Stat. AD on the N values (NP)         :  714.74
+p-value of test                       :   eps      *****
+
+
+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)    :  714.74
+p-value of test                       :   eps      *****
+
+Test on the Nm values of W_{n,i}(mNP1):15894.16
+p-value of test                       :   eps      *****
+
+Test on the jump times of Y
+   (superposition of Yn):
+
+Expected number of jumps of Y = mN    :     600
+Number of jumps of Y                  :       0
+p-value of test                       : 1 - eps1    *****
+
+-----------------------------------------------
+CPU time used                    :  00:14:47.97
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+snpair_ClosePairs test:
+-----------------------------------------------
+   N = 10,  n = 3000000,  r =  0,  t = 9,  p = 0,  m = 30,  Torus =  TRUE
+
+*********  WARNING in file  ../../probdist/gofs.c  on line  462
+*********  gofs_AndersonDarling:   N <= 0
+*********  WARNING in file  ../../probdist/fbar.c  on line  499
+*********  fbar_AndersonDarling:   N < 1
+
+---------------------------------------
+Test based on the 2 nearest points (NP):
+
+Stat. AD on the N values (NP)         :  357.37
+p-value of test                       :3.2e-157    *****
+
+
+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)    :  357.37
+p-value of test                       :3.2e-157    *****
+
+Test on the Nm values of W_{n,i}(mNP1): 7905.81
+p-value of test                       :   eps      *****
+
+Test on the jump times of Y
+   (superposition of Yn):
+
+Expected number of jumps of Y = mN    :     300
+Number of jumps of Y                  :       0
+p-value of test                       : 1 - eps1    *****
+
+-----------------------------------------------
+CPU time used                    :  00:26:35.95
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+snpair_ClosePairs test:
+-----------------------------------------------
+   N =  5,  n = 2000000,  r =  0,  t = 16,  p = 0,  m = 30,  Torus =  TRUE
+
+*********  WARNING in file  ../../testu01/snpair.c  on line  294
+*********  res->NumClose > 50000
+*********  WARNING in file  ../../testu01/snpair.c  on line  294
+*********  res->NumClose > 50000
+*********  WARNING in file  ../../testu01/snpair.c  on line  294
+*********  res->NumClose > 50000
+*********  WARNING in file  ../../testu01/snpair.c  on line  294
+*********  res->NumClose > 50000
+*********  WARNING in file  ../../testu01/snpair.c  on line  294
+*********  res->NumClose > 50000
+
+---------------------------------------
+Test based on the 2 nearest points (NP):
+
+Stat. AD on the N values (NP)         :  178.68
+p-value of test                       : 1.8e-79    *****
+
+
+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)    :  178.68
+p-value of test                       : 1.8e-79    *****
+
+Test on the Nm values of W_{n,i}(mNP1): 5360.52
+p-value of test                       :   eps      *****
+
+Test on the jump times of Y
+   (superposition of Yn):
+
+Expected number of jumps of Y = mN    :     150
+Number of jumps of Y                  > 250000     *****
+p-value of test                       :   eps      *****
+
+Stat. AD (mNP2)                       : 8.93e+6
+p-value of test                       :   eps      *****
+
+Stat. AD after spacings (mNP2-S)      : 8.93e+6
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:03:03.89
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_SimpPoker test:
+-----------------------------------------------
+   N =  1,  n = 400000000,  r =  0,   d =    8,   k =    8
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    7
+Chi-square statistic                  : 5673.94
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:17.19
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_SimpPoker test:
+-----------------------------------------------
+   N =  1,  n = 400000000,  r = 27,   d =    8,   k =    8
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    7
+Chi-square statistic                  :    9.44
+p-value of test                       :    0.22
+
+-----------------------------------------------
+CPU time used                    :  00:01:27.62
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_SimpPoker test:
+-----------------------------------------------
+   N =  1,  n = 100000000,  r =  0,   d =   32,   k =   32
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   18
+Chi-square statistic                  :87575.57
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:15.18
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_SimpPoker test:
+-----------------------------------------------
+   N =  1,  n = 100000000,  r = 25,   d =   32,   k =   32
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   18
+Chi-square statistic                  :   21.65
+p-value of test                       :    0.25
+
+-----------------------------------------------
+CPU time used                    :  00:01:28.40
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_CouponCollector test:
+-----------------------------------------------
+   N =  1,  n = 200000000,  r =  0,   d =    8
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   54
+Chi-square statistic                  : 2.45e+5
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:36.62
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_CouponCollector test:
+-----------------------------------------------
+   N =  1,  n = 200000000,  r = 10,   d =    8
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   54
+Chi-square statistic                  : 3203.42
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:53.11
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_CouponCollector test:
+-----------------------------------------------
+   N =  1,  n = 200000000,  r = 20,   d =    8
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   54
+Chi-square statistic                  :   45.90
+p-value of test                       :    0.78
+
+-----------------------------------------------
+CPU time used                    :  00:01:48.29
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_CouponCollector test:
+-----------------------------------------------
+   N =  1,  n = 200000000,  r = 27,   d =    8
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   54
+Chi-square statistic                  :   50.41
+p-value of test                       :    0.61
+
+-----------------------------------------------
+CPU time used                    :  00:01:49.97
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_Gap test:
+-----------------------------------------------
+   N =  1,  n = 500000000,  r =  0,   Alpha =        0,   Beta  =   0.0625
+
+
+-----------------------------------------------
+Number of degrees of freedom          :  232
+Chi-square statistic                  : 2.07e+5
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:02:05.70
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_Gap test:
+-----------------------------------------------
+   N =  1,  n = 300000000,  r = 25,   Alpha =        0,   Beta  =  0.03125
+
+
+-----------------------------------------------
+Number of degrees of freedom          :  434
+Chi-square statistic                  :  410.41
+p-value of test                       :    0.79
+
+-----------------------------------------------
+CPU time used                    :  00:02:52.53
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_Gap test:
+-----------------------------------------------
+   N =  1,  n = 100000000,  r =  0,   Alpha =        0,   Beta  = 0.0078125
+
+
+-----------------------------------------------
+Number of degrees of freedom          : 1437
+Chi-square statistic                  : 1.90e+6
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:03:04.25
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_Gap test:
+-----------------------------------------------
+   N =  1,  n = 10000000,  r = 20,   Alpha =        0,   Beta  = 0.000976562
+
+
+-----------------------------------------------
+Number of degrees of freedom          : 7046
+Chi-square statistic                  : 7006.74
+p-value of test                       :    0.63
+
+-----------------------------------------------
+CPU time used                    :  00:02:57.53
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_Run test:
+-----------------------------------------------
+   N =  5,  n = 1000000000,  r =  0,   Up = FALSE
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.39
+p-value of test                       :    0.16
+
+Kolmogorov-Smirnov- statistic = D-    :    0.48
+p-value of test                       :    0.07
+
+Anderson-Darling statistic = A2       :    1.56
+p-value of test                       :    0.16
+
+Test on the sum of all N observations
+Number of degrees of freedom          :   30
+Chi-square statistic                  :   29.53
+p-value of test                       :    0.49
+
+-----------------------------------------------
+CPU time used                    :  00:01:42.21
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sknuth_Run test:
+-----------------------------------------------
+   N = 10,  n = 1000000000,  r = 15,   Up =  TRUE
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :   0.098
+p-value of test                       :    0.77
+
+Kolmogorov-Smirnov- statistic = D-    :    0.25
+p-value of test                       :    0.25
+
+Anderson-Darling statistic = A2       :    1.19
+p-value of test                       :    0.27
+
+Test on the sum of all N observations
+Number of degrees of freedom          :   60
+Chi-square statistic                  :   71.83
+p-value of test                       :    0.14
+
+-----------------------------------------------
+CPU time used                    :  00:04:05.10
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test sknuth_Permutation calling smultin_Multinomial
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                :  289.84
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:01:10.47
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test sknuth_Permutation calling smultin_Multinomial
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                :24864.07
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:05.44
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test sknuth_Permutation calling smultin_Multinomial
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                : 1.85e+6
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:01:29.71
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test sknuth_Permutation calling smultin_Multinomial
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                : 5.80e+6
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:03:08.15
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test sknuth_CollisionPermut calling smultin_Multinomial
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         : 305495062
+p-value of test                       :   eps      *****
+
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :    1743471319062
+  j =  1                              :          9455393
+  j =  2                              :         13752518
+  j =  3                              :         11160341
+  j =  4                              :         14999848
+  j =  5                              :         35033422
+
+-----------------------------------------------
+CPU time used                    :  00:03:47.92
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+Test sknuth_CollisionPermut calling smultin_Multinomial
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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         :    34439
+p-value of test                       : 1 - eps1    *****
+
+
+-----------------------------
+Total number of cells containing j balls
+
+  j =  0                              :    1743165858439
+  j =  1                              :        399931123
+  j =  2                              :            34437
+  j =  3                              :                1
+  j =  4                              :                0
+  j =  5                              :                0
+
+-----------------------------------------------
+CPU time used                    :  00:04:24.54
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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+    :    0.37
+p-value of test                       :  7.8e-6    *****
+
+Kolmogorov-Smirnov- statistic = D-    : 1.76e-3
+p-value of test                       :    0.9981
+
+Anderson-Darling statistic = A2       :   12.40
+p-value of test                       :  1.1e-6    *****
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 3999960
+Chi-square statistic                  : 3.99e+6
+p-value of test                       : 1 -  1.4e-6    *****
+
+
+-----------------------------------------------
+Test results for Anderson-Darling:
+
+Kolmogorov-Smirnov+ statistic = D+    : 6.04e-4
+p-value of test                       :    0.9994    *****
+
+Kolmogorov-Smirnov- statistic = D-    :    0.91
+p-value of test                       : 2.6e-42    *****
+
+Anderson-Darling statistic = A2       :  114.39
+p-value of test                       : 1.9e-51    *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:03:11.70
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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+    : 6.78e-3
+p-value of test                       :    0.9917
+
+Kolmogorov-Smirnov- statistic = D-    :    0.49
+p-value of test                       :  1.6e-7    *****
+
+Anderson-Darling statistic = A2       :   14.63
+p-value of test                       :  1.1e-7    *****
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 2999970
+Chi-square statistic                  : 3.01e+6
+p-value of test                       :  8.7e-8    *****
+
+
+-----------------------------------------------
+Test results for Anderson-Darling:
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.80
+p-value of test                       : 3.3e-21    *****
+
+Kolmogorov-Smirnov- statistic = D-    :    0.14
+p-value of test                       :    0.28
+
+Anderson-Darling statistic = A2       :   25.49
+p-value of test                       : 1.6e-12    *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:03:02.73
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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+    :    0.17
+p-value of test                       :    0.27
+
+Kolmogorov-Smirnov- statistic = D-    :   0.084
+p-value of test                       :    0.72
+
+Anderson-Darling statistic = A2       :    0.59
+p-value of test                       :    0.65
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 1999980
+Chi-square statistic                  : 2.00e+6
+p-value of test                       :    0.71
+
+
+-----------------------------------------------
+Test results for Anderson-Darling:
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.62
+p-value of test                       :  2.4e-8    *****
+
+Kolmogorov-Smirnov- statistic = D-    :    0.25
+p-value of test                       :    0.06
+
+Anderson-Darling statistic = A2       :    8.89
+p-value of test                       :  4.7e-5    *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:22.03
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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+    : 1.33e-3
+p-value of test                       :    0.9986
+
+Kolmogorov-Smirnov- statistic = D-    :    0.51
+p-value of test                       :  1.2e-5    *****
+
+Anderson-Darling statistic = A2       :   13.91
+p-value of test                       :  2.4e-7    *****
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 1999980
+Chi-square statistic                  : 2.01e+6
+p-value of test                       :  3.7e-8    *****
+
+
+-----------------------------------------------
+Test results for Anderson-Darling:
+
+Kolmogorov-Smirnov+ statistic = D+    :    1.00
+p-value of test                       :1.4e-112    *****
+
+Kolmogorov-Smirnov- statistic = D-    : 3.78e-7
+p-value of test                       : 1 -  3.8e-7    *****
+
+Anderson-Darling statistic = A2       :  256.94
+p-value of test                       :1.6e-113    *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:43.14
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleProd test:
+-----------------------------------------------
+   N = 40,  n = 10000000,  r =  0,   t = 8
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.24
+p-value of test                       :  9.8e-3
+
+Kolmogorov-Smirnov- statistic = D-    :    0.61
+p-value of test                       : 6.7e-15    *****
+
+Anderson-Darling statistic = A2       :   17.86
+p-value of test                       :  4.0e-9    *****
+
+-----------------------------------------------
+CPU time used                    :  00:02:21.61
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleProd test:
+-----------------------------------------------
+   N = 20,  n = 10000000,  r =  0,   t = 16
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    1.00
+p-value of test                       : 3.3e-74    *****
+
+Kolmogorov-Smirnov- statistic = D-    : 1.17e-4
+p-value of test                       :    0.9999    *****
+
+Anderson-Darling statistic = A2       :  153.69
+p-value of test                       : 1.4e-68    *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:43.76
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleProd test:
+-----------------------------------------------
+   N = 20,  n = 10000000,  r =  0,   t = 24
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.98
+p-value of test                       : 2.7e-33    *****
+
+Kolmogorov-Smirnov- statistic = D-    :   0.012
+p-value of test                       :    0.98
+
+Anderson-Darling statistic = A2       :   62.61
+p-value of test                       : 7.9e-29    *****
+
+-----------------------------------------------
+CPU time used                    :  00:02:14.61
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleMean test:
+-----------------------------------------------
+   N = 20000000,  n = 30,  r =  0
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    : 2.79e-4
+p-value of test                       :    0.04
+
+Kolmogorov-Smirnov- statistic = D-    : 2.29e-4
+p-value of test                       :    0.12
+
+Anderson-Darling statistic = A2       :    1.80
+p-value of test                       :    0.12
+
+-----------------------------------------------
+CPU time used                    :  00:00:33.43
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleMean test:
+-----------------------------------------------
+   N = 20000000,  n = 30,  r = 10
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    : 1.71e-4
+p-value of test                       :    0.31
+
+Kolmogorov-Smirnov- statistic = D-    : 1.09e-4
+p-value of test                       :    0.62
+
+Anderson-Darling statistic = A2       :    0.57
+p-value of test                       :    0.68
+
+-----------------------------------------------
+CPU time used                    :  00:00:33.42
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleCorr test:
+-----------------------------------------------
+   N =  1,  n = 2000000000,  r =  0,   k = 1
+
+
+-----------------------------------------------
+Normal statistic                      :   -0.13
+p-value of test                       :    0.55
+
+-----------------------------------------------
+CPU time used                    :  00:00:33.98
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SampleCorr test:
+-----------------------------------------------
+   N =  1,  n = 2000000000,  r =  0,   k = 2
+
+
+-----------------------------------------------
+Normal statistic                      :   0.050
+p-value of test                       :    0.48
+
+-----------------------------------------------
+CPU time used                    :  00:00:31.94
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                      :   87.22
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:57.69
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                      :    0.28
+p-value of test                       :    0.39
+
+-----------------------------------------------
+CPU time used                    :  00:01:55.94
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                  :32751.90
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:16.72
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                  :   74.73
+p-value of test                       :    0.24
+
+-----------------------------------------------
+CPU time used                    :  00:01:31.61
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                  :   58.90
+p-value of test                       :    0.75
+
+-----------------------------------------------
+CPU time used                    :  00:01:31.54
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                  :15620.09
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:19.12
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                  :  229.60
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:29.88
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                  :   35.57
+p-value of test                       :    0.54
+
+-----------------------------------------------
+CPU time used                    :  00:01:38.54
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+svaria_SumCollector test:
+-----------------------------------------------
+   N =  1,  n = 500000000,  r =  0,   g = 10
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   29
+Chi-square statistic                  :29102.31
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+CPU time used                    :  00:02:38.25
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_MatrixRank test:
+-----------------------------------------------
+   N = 10,  n = 1000000,  r =  0,    s = 5,    L = 30,    k = 30
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    : 8.43e-3
+p-value of test                       :    0.9909
+
+Kolmogorov-Smirnov- statistic = D-    :    0.46
+p-value of test                       :    0.01
+
+Anderson-Darling statistic = A2       :    5.28
+p-value of test                       :  2.3e-3
+
+Test on the sum of all N observations
+Number of degrees of freedom          :   40
+Chi-square statistic                  :   72.38
+p-value of test                       :  1.3e-3
+
+-----------------------------------------------
+CPU time used                    :  00:01:22.67
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_MatrixRank test:
+-----------------------------------------------
+   N = 10,  n = 1000000,  r = 25,    s = 5,    L = 30,    k = 30
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.37
+p-value of test                       :    0.05
+
+Kolmogorov-Smirnov- statistic = D-    : 9.67e-3
+p-value of test                       :    0.99
+
+Anderson-Darling statistic = A2       :    1.48
+p-value of test                       :    0.18
+
+Test on the sum of all N observations
+Number of degrees of freedom          :   40
+Chi-square statistic                  :   27.48
+p-value of test                       :    0.93
+
+-----------------------------------------------
+CPU time used                    :  00:01:23.10
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_MatrixRank test:
+-----------------------------------------------
+   N =  1,  n = 5000,  r =  0,    s = 4,    L = 1000,    k = 1000
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    3
+Chi-square statistic                  :    0.93
+p-value of test                       :    0.82
+
+-----------------------------------------------
+CPU time used                    :  00:02:18.85
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_MatrixRank test:
+-----------------------------------------------
+   N =  1,  n = 5000,  r = 26,    s = 4,    L = 1000,    k = 1000
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    3
+Chi-square statistic                  :    1.22
+p-value of test                       :    0.75
+
+-----------------------------------------------
+CPU time used                    :  00:02:19.07
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_MatrixRank test:
+-----------------------------------------------
+   N =  1,  n = 80,  r = 15,    s = 15,    L = 5000,    k = 5000
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    2
+Chi-square statistic                  :    0.59
+p-value of test                       :    0.74
+
+-----------------------------------------------
+CPU time used                    :  00:01:32.95
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_MatrixRank test:
+-----------------------------------------------
+   N =  1,  n = 80,  r =  0,    s = 30,    L = 5000,    k = 5000
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    2
+Chi-square statistic                  :    3.07
+p-value of test                       :    0.22
+
+-----------------------------------------------
+CPU time used                    :  00:01:17.52
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_Savir2 test:
+-----------------------------------------------
+   N = 10,  n = 10000000,  r = 10,    m = 1048576,    t = 30
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.25
+p-value of test                       :    0.26
+
+Kolmogorov-Smirnov- statistic = D-    :    0.33
+p-value of test                       :    0.09
+
+Anderson-Darling statistic = A2       :    2.22
+p-value of test                       :    0.07
+
+Test on the sum of all N observations
+Number of degrees of freedom          :  130
+Chi-square statistic                  :  142.63
+p-value of test                       :    0.21
+
+-----------------------------------------------
+CPU time used                    :  00:00:52.62
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+smarsa_GCD test:
+-----------------------------------------------
+   N = 10,  n = 50000000,  r =  0,   s = 30
+
+
+-----------------------------------------------
+Test results for GCD values:
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.13
+p-value of test                       :    0.66
+
+Kolmogorov-Smirnov- statistic = D-    :    0.36
+p-value of test                       :    0.06
+
+Anderson-Darling statistic = A2       :    1.51
+p-value of test                       :    0.17
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 17430
+Chi-square statistic                  :17586.45
+p-value of test                       :    0.20
+
+
+
+-----------------------------------------------
+CPU time used                    :  00:01:53.20
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                   :  731.75
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+Test on the values of the Statistic M
+
+Number of degrees of freedom          :   35
+ChiSquare statistic                   :  613.67
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+Test on the values of the Statistic J
+
+Number of degrees of freedom          :   25
+ChiSquare statistic                   :  470.86
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+Test on the values of the Statistic R
+
+Number of degrees of freedom          :   24
+ChiSquare statistic                   :  497.14
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+Test on the values of the Statistic C
+
+Number of degrees of freedom          :   17
+ChiSquare statistic                   :  241.78
+p-value of test                       :   eps      *****
+
+
+-----------------------------------------------
+CPU time used                    :  00:00:45.62
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                   :   41.61
+p-value of test                       :    0.24
+
+
+-----------------------------------------------
+Test on the values of the Statistic M
+
+Number of degrees of freedom          :   35
+ChiSquare statistic                   :   46.65
+p-value of test                       :    0.09
+
+
+-----------------------------------------------
+Test on the values of the Statistic J
+
+Number of degrees of freedom          :   25
+ChiSquare statistic                   :   40.10
+p-value of test                       :    0.03
+
+
+-----------------------------------------------
+Test on the values of the Statistic R
+
+Number of degrees of freedom          :   24
+ChiSquare statistic                   :   20.87
+p-value of test                       :    0.65
+
+
+-----------------------------------------------
+Test on the values of the Statistic C
+
+Number of degrees of freedom          :   17
+ChiSquare statistic                   :   14.21
+p-value of test                       :    0.65
+
+
+-----------------------------------------------
+CPU time used                    :  00:00:45.90
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                   :  176.68
+p-value of test                       :    0.04
+
+
+-----------------------------------------------
+Test on the values of the Statistic M
+
+Number of degrees of freedom          :  146
+ChiSquare statistic                   :  175.78
+p-value of test                       :    0.05
+
+
+-----------------------------------------------
+Test on the values of the Statistic J
+
+Number of degrees of freedom          :  500
+ChiSquare statistic                   :  518.47
+p-value of test                       :    0.27
+
+
+-----------------------------------------------
+Test on the values of the Statistic R
+
+Number of degrees of freedom          :  136
+ChiSquare statistic                   :  146.81
+p-value of test                       :    0.25
+
+
+-----------------------------------------------
+Test on the values of the Statistic C
+
+Number of degrees of freedom          :   74
+ChiSquare statistic                   :   68.73
+p-value of test                       :    0.65
+
+
+-----------------------------------------------
+CPU time used                    :  00:00:56.43
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                   :  165.33
+p-value of test                       :    0.13
+
+
+-----------------------------------------------
+Test on the values of the Statistic M
+
+Number of degrees of freedom          :  146
+ChiSquare statistic                   :  136.92
+p-value of test                       :    0.69
+
+
+-----------------------------------------------
+Test on the values of the Statistic J
+
+Number of degrees of freedom          :  500
+ChiSquare statistic                   :  520.66
+p-value of test                       :    0.25
+
+
+-----------------------------------------------
+Test on the values of the Statistic R
+
+Number of degrees of freedom          :  136
+ChiSquare statistic                   :  144.45
+p-value of test                       :    0.29
+
+
+-----------------------------------------------
+Test on the values of the Statistic C
+
+Number of degrees of freedom          :   74
+ChiSquare statistic                   :   61.87
+p-value of test                       :    0.84
+
+
+-----------------------------------------------
+CPU time used                    :  00:00:57.40
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                   :  338.25
+p-value of test                       :    0.96
+
+
+-----------------------------------------------
+Test on the values of the Statistic M
+
+Number of degrees of freedom          :  384
+ChiSquare statistic                   :  372.87
+p-value of test                       :    0.65
+
+
+-----------------------------------------------
+Test on the values of the Statistic J
+
+Number of degrees of freedom          : 5000
+ChiSquare statistic                   : 5019.31
+p-value of test                       :    0.42
+
+
+-----------------------------------------------
+Test on the values of the Statistic R
+
+Number of degrees of freedom          :  378
+ChiSquare statistic                   :  341.04
+p-value of test                       :    0.91
+
+
+-----------------------------------------------
+Test on the values of the Statistic C
+
+Number of degrees of freedom          :  200
+ChiSquare statistic                   :  213.59
+p-value of test                       :    0.24
+
+
+-----------------------------------------------
+CPU time used                    :  00:00:48.11
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+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                   :  376.11
+p-value of test                       :    0.60
+
+
+-----------------------------------------------
+Test on the values of the Statistic M
+
+Number of degrees of freedom          :  384
+ChiSquare statistic                   :  432.22
+p-value of test                       :    0.04
+
+
+-----------------------------------------------
+Test on the values of the Statistic J
+
+Number of degrees of freedom          : 5000
+ChiSquare statistic                   : 4846.93
+p-value of test                       :    0.94
+
+
+-----------------------------------------------
+Test on the values of the Statistic R
+
+Number of degrees of freedom          :  378
+ChiSquare statistic                   :  385.02
+p-value of test                       :    0.39
+
+
+-----------------------------------------------
+Test on the values of the Statistic C
+
+Number of degrees of freedom          :  200
+ChiSquare statistic                   :  251.40
+p-value of test                       :  8.0e-3
+
+
+-----------------------------------------------
+CPU time used                    :  00:00:47.31
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+scomp_LinearComp test:
+-----------------------------------------------
+   N =  1,  n = 400020,  r =  0,    s = 1
+
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   12
+Chi2 statistic for size of jumps      :   12.84
+p-value of test                       :    0.38
+
+
+-----------------------------------------------
+Normal statistic for number of jumps  :    0.13
+p-value of test                       :    0.45
+
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:23.76
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+scomp_LinearComp test:
+-----------------------------------------------
+   N =  1,  n = 400020,  r = 29,    s = 1
+
+
+
+-----------------------------------------------
+Number of degrees of freedom          :   12
+Chi2 statistic for size of jumps      :    7.10
+p-value of test                       :    0.85
+
+
+-----------------------------------------------
+Normal statistic for number of jumps  :    1.13
+p-value of test                       :    0.13
+
+
+
+-----------------------------------------------
+CPU time used                    :  00:02:24.12
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+scomp_LempelZiv test:
+-----------------------------------------------
+   N = 10,  n = 134217728,  r =  0,   s =   30,   k =   27
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.14
+p-value of test                       :    0.62
+
+Kolmogorov-Smirnov- statistic = D-    :    0.30
+p-value of test                       :    0.14
+
+Anderson-Darling statistic = A2       :    1.08
+p-value of test                       :    0.31
+
+Tests on the sum of all N observations
+Standardized normal statistic         :    0.96
+p-value of test                       :    0.17
+
+Sample variance                       :    0.64
+p-value of test                       :    0.76
+
+-----------------------------------------------
+CPU time used                    :  00:00:55.85
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+scomp_LempelZiv test:
+-----------------------------------------------
+   N = 10,  n = 134217728,  r = 15,   s =   15,   k =   27
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.13
+p-value of test                       :    0.64
+
+Kolmogorov-Smirnov- statistic = D-    :   0.098
+p-value of test                       :    0.77
+
+Anderson-Darling statistic = A2       :    0.31
+p-value of test                       :    0.93
+
+Tests on the sum of all N observations
+Standardized normal statistic         :   -0.29
+p-value of test                       :    0.62
+
+Sample variance                       :    1.24
+p-value of test                       :    0.27
+
+-----------------------------------------------
+CPU time used                    :  00:00:58.03
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sspectral_Fourier3 test:
+-----------------------------------------------
+   N = 100000,  n = 16384,  r =  0,   s =    3,   k =   14
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :   0.047
+p-value of test                       :  1.6e-8    *****
+
+Kolmogorov-Smirnov- statistic = D-    :   0.047
+p-value of test                       :  1.6e-8    *****
+
+Anderson-Darling statistic = A2       :   31.93
+p-value of test                       : 2.4e-15    *****
+
+-----------------------------------------------
+CPU time used                    :  00:00:47.22
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sspectral_Fourier3 test:
+-----------------------------------------------
+   N = 100000,  n = 16384,  r = 27,   s =    3,   k =   14
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    : 7.99e-3
+p-value of test                       :    0.59
+
+Kolmogorov-Smirnov- statistic = D-    : 6.03e-3
+p-value of test                       :    0.74
+
+Anderson-Darling statistic = A2       :    0.27
+p-value of test                       :    0.96
+
+-----------------------------------------------
+CPU time used                    :  00:00:46.10
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_LongestHeadRun test:
+-----------------------------------------------
+   N =  1,  n = 1000,  r =  0,   s = 3,   L = 10000020
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    8
+Chi-square statistic                  : 1279.06
+p-value of test                       :   eps      *****
+
+-----------------------------------------------
+Global longest run of 1               :   23.00
+p-value of test                       : 1 - eps1    *****
+
+
+
+-----------------------------------------------
+CPU time used                    :  00:01:37.70
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_LongestHeadRun test:
+-----------------------------------------------
+   N =  1,  n = 1000,  r = 27,   s = 3,   L = 10000020
+
+
+-----------------------------------------------
+Number of degrees of freedom          :    8
+Chi-square statistic                  :   11.49
+p-value of test                       :    0.18
+
+-----------------------------------------------
+Global longest run of 1               :   30.00
+p-value of test                       :    0.90
+
+
+
+-----------------------------------------------
+CPU time used                    :  00:01:40.26
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_PeriodsInStrings test:
+-----------------------------------------------
+   N = 10,  n = 500000000,  r =  0,   s =   10
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :   0.030
+p-value of test                       :    0.96
+
+Kolmogorov-Smirnov- statistic = D-    :    0.45
+p-value of test                       :    0.01
+
+Anderson-Darling statistic = A2       :    2.71
+p-value of test                       :    0.04
+
+Test on the sum of all N observations
+Number of degrees of freedom          :  200
+Chi-square statistic                  :  242.04
+p-value of test                       :    0.02
+
+-----------------------------------------------
+CPU time used                    :  00:02:43.93
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_PeriodsInStrings test:
+-----------------------------------------------
+   N = 10,  n = 500000000,  r = 20,   s =   10
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.21
+p-value of test                       :    0.35
+
+Kolmogorov-Smirnov- statistic = D-    :   0.048
+p-value of test                       :    0.93
+
+Anderson-Darling statistic = A2       :    0.51
+p-value of test                       :    0.73
+
+Test on the sum of all N observations
+Number of degrees of freedom          :  200
+Chi-square statistic                  :  183.66
+p-value of test                       :    0.79
+
+-----------------------------------------------
+CPU time used                    :  00:02:42.32
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_HammingWeight2 test:
+-----------------------------------------------
+   N = 10,  n = 1000000000,  r =  0,   s = 3,   L = 1000000
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    : 2.77e-5
+p-value of test                       : 1 -  2.8e-5    *****
+
+Kolmogorov-Smirnov- statistic = D-    :    1.00
+p-value of test                       : 2.1e-27    *****
+
+Anderson-Darling statistic = A2       :   68.96
+p-value of test                       : 1.3e-31    *****
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 10000
+Chi-square statistic                  :11688.07
+p-value of test                       : 4.7e-30    *****
+
+-----------------------------------------------
+CPU time used                    :  00:01:06.09
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_HammingWeight2 test:
+-----------------------------------------------
+   N = 10,  n = 1000000000,  r = 27,   s = 3,   L = 1000000
+
+
+-----------------------------------------------
+
+Kolmogorov-Smirnov+ statistic = D+    :    0.33
+p-value of test                       :    0.08
+
+Kolmogorov-Smirnov- statistic = D-    :    0.11
+p-value of test                       :    0.73
+
+Anderson-Darling statistic = A2       :    1.62
+p-value of test                       :    0.15
+
+Test on the sum of all N observations
+Number of degrees of freedom          : 10000
+Chi-square statistic                  : 9810.51
+p-value of test                       :    0.91
+
+-----------------------------------------------
+CPU time used                    :  00:01:09.82
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_HammingCorr test:
+-----------------------------------------------
+   N =  1,  n = 1000000000,  r = 10,   s = 10,   L = 30
+
+
+
+-----------------------------------------------
+Normal statistic                      :   -0.34
+p-value of test                       :    0.63
+
+-----------------------------------------------
+CPU time used                    :  00:01:19.90
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_HammingCorr test:
+-----------------------------------------------
+   N =  1,  n = 100000000,  r = 10,   s = 10,   L = 300
+
+
+
+-----------------------------------------------
+Normal statistic                      :   -0.57
+p-value of test                       :    0.72
+
+-----------------------------------------------
+CPU time used                    :  00:01:16.04
+
+Generator state:
+N/A
+
+
+
+***********************************************************
+HOST = gaianss, Linux
+
+stdin
+
+
+sstring_HammingCorr test:
+-----------------------------------------------
+   N =  1,  n = 100000000,  r = 10,   s = 10,   L = 1200
+
+
+
+-----------------------------------------------
+Normal statistic                      :    0.60
+p-value of test                       :    0.27
+
+-----------------------------------------------
+CPU time used                    :  00:04:56.87
+
+Generator state:
+N/A
+
+
+
+******************************

<TRUNCATED>

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