﻿TestU01 volume extraction started: 2026-11-02T22:12:02
folder: C:\Users\Noro\Desktop\second paper interval 1\dsp-free-prng-fpga-v1.0\04_Validation_Data

######## testu01_run_info.txt
TestU01 version: 1.2.3
Generator: rng32 (xoshiro128** + Weyl + Tent hybrid)
Seed: s0=0x1a2b3c4d s1=0x5e6f7a8b s2=0x9c8d7e6f s3=0x5a4b3c2d w0=0x7890abce t0=0xf0e1d2c3
Interface: unif01_CreateExternGenBits (raw 32-bit output, no post-processing)
Date: Mon Jul 27 19:57:11 +0330 2026
Results: SmallCrush ALL PASS, Crush ALL PASS, BigCrush ALL PASS

######## unit conversions (exact)
2^28 bits = 33,554,432 bytes = 0.0336 GB (decimal, 10^9 bytes) = 0.0313 GiB (2^30 bytes)
2^35 bits = 4,294,967,296 bytes = 4.295 GB (decimal, 10^9 bytes) = 4 GiB (2^30 bytes)
2^38 bits = 34,359,738,368 bytes = 34.3597 GB (decimal, 10^9 bytes) = 32 GiB (2^30 bytes)
2^40 bits = 137,438,953,472 bytes = 137.439 GB (decimal, 10^9 bytes) = 128 GiB (2^30 bytes)
2^41 bits = 274,877,906,944 bytes = 274.8779 GB (decimal, 10^9 bytes) = 256 GiB (2^30 bytes)
2^42 bits = 549,755,813,888 bytes = 549.7558 GB (decimal, 10^9 bytes) = 512 GiB (2^30 bytes)

######## smallcrush_log.txt
size: 8031 bytes, 333 lines
--- first 25 lines
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                    Starting SmallCrush
                    Version: TestU01 1.2.3
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
   
   
   ***********************************************************
   HOST = Noro, Linux
   
   rng32_HLS_core
   
   
   smarsa_BirthdaySpacings test:
   -----------------------------------------------
      N =  1,  n = 5000000,  r =  0,    d = 1073741824,    t = 2,    p = 1
   
   
         Number of cells = d^t = 1152921504606846976
         Lambda = Poisson mean =      27.1051
   
   
   ----------------------------------------------------
   Total expected number = N*Lambda      :      27.11
   Total observed number                 :      27
   p-value of test                       :    0.53
--- last 45 lines
   
   -----------------------------------------------
   Test on the values of the Statistic J
   
   Number of degrees of freedom          :   75
   ChiSquare statistic                   :   62.73
   p-value of test                       :    0.84
   
   
   -----------------------------------------------
   Test on the values of the Statistic R
   
   Number of degrees of freedom          :   44
   ChiSquare statistic                   :   42.27
   p-value of test                       :    0.55
   
   
   -----------------------------------------------
   Test on the values of the Statistic C
   
   Number of degrees of freedom          :   26
   ChiSquare statistic                   :   14.41
   p-value of test                       :    0.97
   
   
   -----------------------------------------------
   CPU time used                    :  00:00:00.57
   
   Generator state:
   
   
   
   
   
   ========= Summary results of SmallCrush =========
   
    Version:          TestU01 1.2.3
    Generator:        rng32_HLS_core
    Number of statistics:  15
    Total CPU time:   00:00:05.59
   
    All tests were passed
   
   
   
--- lines mentioning generator / version / CPU time / statistics / bits / bytes / GB / file
   Version: TestU01 1.2.3
   Total expected number = N*Lambda      :      27.11
   Total observed number                 :      27
   CPU time used                    :  00:00:01.04
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:01.18
   Generator state:
   CPU time used                    :  00:00:00.39
   Generator state:
   CPU time used                    :  00:00:00.39
   Generator state:
   CPU time used                    :  00:00:00.31
   Generator state:
   CPU time used                    :  00:00:00.41
   Generator state:
   CPU time used                    :  00:00:00.37
   Generator state:
   CPU time used                    :  00:00:00.40
   Generator state:
   CPU time used                    :  00:00:00.50
   Generator state:
   CPU time used                    :  00:00:00.57
   Generator state:
   Version:          TestU01 1.2.3
   Generator:        rng32_HLS_core
   Number of statistics:  15
   Total CPU time:   00:00:05.59
--- parameter lines 'N = .., n = ..'
   lines found: 10 (unparsable: 0); distinct lines: 10
   sum of N*n over all lines      = 1.4820E+007  (= 2^23.821)
   sum of N*n over distinct lines = 1.4820E+007  (= 2^23.821)
   if every draw is one 32-bit word: 4.7424E+008 bits = 2^28.821 bits = 0.059 GB (decimal) = 0.055 GiB
   value printed in Table 4: 0.06 GB  -> ratio (table / this estimate) = 1.012

######## crush_log.txt
size: 78665 bytes, 3230 lines
--- first 25 lines
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                    Starting Crush
                    Version: TestU01 1.2.3
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
   
   
   ***********************************************************
   Test smarsa_SerialOver calling smultin_MultinomialOver
   
   ***********************************************************
   HOST = Noro, Linux
   
   rng32_HLS_core
   
   
   smultin_MultinomialOver test:
   -----------------------------------------------
      N =  1,  n = 500000000,  r =  0,   d = 4096,   t =  2,
          Sparse =  FALSE
   
          GenerCell = smultin_GenerCellSerial
          Number of cells = d^t =           16777216
          Expected number per cell =   29.802322
          Hashing =  FALSE
   
--- last 45 lines
   
   
   sstring_AutoCor test:
   -----------------------------------------------
      N =  5,  n = 1000000010,  r = 20,   s = 10,   d = 10
   
   
   -----------------------------------------------
   
   Kolmogorov-Smirnov+ statistic = D+    :    0.44
   p-value of test                       :    0.10
   
   Kolmogorov-Smirnov- statistic = D-    :    0.20
   p-value of test                       :    0.60
   
   Anderson-Darling statistic = A2       :    0.82
   p-value of test                       :    0.46
   
   Tests on the sum of all N observations
   Standardized normal statistic         :   -0.39
   p-value of test                       :    0.65
   
   Sample variance                       :    0.82
   p-value of test                       :    0.51
   
   -----------------------------------------------
   CPU time used                    :  00:00:17.20
   
   Generator state:
   
   
   
   
   
   ========= Summary results of Crush =========
   
    Version:          TestU01 1.2.3
    Generator:        rng32_HLS_core
    Number of statistics:  144
    Total CPU time:   00:24:35.90
   
    All tests were passed
   
   
   
--- lines mentioning generator / version / CPU time / statistics / bits / bytes / GB / file
   Version: TestU01 1.2.3
   CPU time used                    :  00:00:32.81
   Generator state:
   CPU time used                    :  00:00:22.25
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:37.37
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:35.84
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:54.56
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:46.46
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:53.35
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:51.87
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:55.27
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:00:52.45
   Generator state:
   Total expected number = N*Lambda      :    2168.40
   Total observed number                 :    2095
   CPU time used                    :  00:00:20.55
   Generator state:
   Total expected number = N*Lambda      :    1084.20
   Total observed number                 :    1061
   CPU time used                    :  00:00:21.36
   Generator state:
   Total expected number = N*Lambda      :     542.10
   Total observed number                 :     545
   CPU time used                    :  00:00:21.92
   (more lines omitted)
--- parameter lines 'N = .., n = ..'
   lines found: 94 (unparsable: 0); distinct lines: 94
   sum of N*n over all lines      = 5.3556E+010  (= 2^35.640)
   sum of N*n over distinct lines = 5.3556E+010  (= 2^35.640)
   if every draw is one 32-bit word: 1.7138E+012 bits = 2^40.640 bits = 214.224 GB (decimal) = 199.511 GiB
   value printed in Table 4: 214 GB  -> ratio (table / this estimate) = 0.999

######## bigcrush_log.txt
size: 93742 bytes, 3782 lines
--- first 25 lines
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                    Starting BigCrush
                    Version: TestU01 1.2.3
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
   
   
   ***********************************************************
   Test smarsa_SerialOver calling smultin_MultinomialOver
   
   ***********************************************************
   HOST = Noro, Linux
   
   rng32_HLS_core
   
   
   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
   
--- last 45 lines
   
   
   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-    :   0.054
   p-value of test                       :    0.91
   
   Anderson-Darling statistic = A2       :    1.53
   p-value of test                       :    0.17
   
   Tests on the sum of all N observations
   Standardized normal statistic         :   -1.36
   p-value of test                       :    0.91
   
   Sample variance                       :    1.05
   p-value of test                       :    0.39
   
   -----------------------------------------------
   CPU time used                    :  00:01:42.45
   
   Generator state:
   
   
   
   
   
   ========= Summary results of BigCrush =========
   
    Version:          TestU01 1.2.3
    Generator:        rng32_HLS_core
    Number of statistics:  160
    Total CPU time:   02:53:11.54
   
    All tests were passed
   
   
   
--- lines mentioning generator / version / CPU time / statistics / bits / bytes / GB / file
   Version: TestU01 1.2.3
   CPU time used                    :  00:01:20.07
   Generator state:
   CPU time used                    :  00:01:10.87
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:03:36.86
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:03:42.87
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:46.12
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:22.47
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:38.53
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:20.44
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:25.57
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:18.80
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:22.78
   Generator state:
   Total number of cells containing j balls
   CPU time used                    :  00:05:21.09
   Generator state:
   Total expected number = N*Lambda      :    5421.01
   Total observed number                 :    5327
   CPU time used                    :  00:03:14.11
   Generator state:
   Total expected number = N*Lambda      :    4336.81
   (more lines omitted)
--- parameter lines 'N = .., n = ..'
   lines found: 104 (unparsable: 0); distinct lines: 104
   sum of N*n over all lines      = 1.2541E+011  (= 2^36.868)
   sum of N*n over distinct lines = 1.2541E+011  (= 2^36.868)
   if every draw is one 32-bit word: 4.0132E+012 bits = 2^41.868 bits = 501.656 GB (decimal) = 467.203 GiB
   value printed in Table 4: 502 GB  -> ratio (table / this estimate) = 1.001

Finished: 2026-11-02T22:12:03
