From 0508ac43437d6f97d03161ecf6eb47392eccd350 Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Tue, 14 Oct 2025 22:17:12 +0200 Subject: [PATCH 01/11] #273-modify doc with new perfs evaluations Fixed a one bad formulated sentence. --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 3658308..33671dc 100644 --- a/README.md +++ b/README.md @@ -298,7 +298,7 @@ Note 5: a Cython version of **PyRandLib** will be delivered in a next major rele ## New in Release 2.2 -Version 2.2 of **PyRandLib** delivers a Python 3.14 version of the library. Note: no new feature introduced by Python 3.14 impacts code of PyRandLib. Code for version 3.14 of Python is then the same as for Python 3.13 with very minor optimizations on code for a very few generators. Meanwhile, the implementation of Python 3.14 shows computation speed-ups from 6 % up to 48 % for the Intel® Core™ i7 CPU (see related above table). +Version 2.2 of **PyRandLib** delivers a Python 3.14 version of the library. Note: no new feature introduced by Python 3.14 impacts the code of PyRandLib which is then the same for version 3.14 as for Python 3.13 - with very minor optimizations on code for a very few generators. Meanwhile, the implementation of Python 3.14 shows computation speed-ups from 6 % up to 48 % for the Intel® Core™ i7 CPU (see related above table). ## New in Release 2.1 From 740f468a8095d9dfd9619156a7b8d4ed53664f69 Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Tue, 14 Oct 2025 22:54:56 +0200 Subject: [PATCH 02/11] #281-modify tables code in README.md First attempt. --- README.md | 63 +++++++++++++++++++++++++++++-------------------------- 1 file changed, 33 insertions(+), 30 deletions(-) diff --git a/README.md b/README.md index 33671dc..b7b1517 100644 --- a/README.md +++ b/README.md @@ -155,36 +155,39 @@ In [1], every known PRNG at the time of the editing has been tested according to We give you here below a copy of the resulting table for the PRNGs that have been implemented in **PyRandLib**, as provided in [1], plus the Mersenne twister one which is not implemented in **PyRandLib**. We add in this table the evaluations provided by the authors of every new PRNGs that have been described after the publication of [1]. Fields may be missing then for them. A comparison of the computation times for all implemented PRNGs in **PyRandLib** is provided in an another belowing table. - | PyRandLib class | TU01 generator name (1) | Memory Usage | Period | SmallCrush fails | Crush fails | BigCrush fails | time-64 bits | time-32bits | - | ---------------- | ---------------------------------- | --------------- | -------- | ---------------- | ----------- | -------------- | ------------ | ----------- | - | Cwg64 | *CWG64* | 8 x 4-bytes | >= 2^70 | 0 | 0 | 0 | n.a. | n.a. | - | Cwg128_64 | *CWG128-64* | 10 x 4-bytes | >= 2^71 | 0 | 0 | 0 | n.a. | n.a. | - | Cwg128 | *CWG128* | 16 x 4-bytes | >= 2^135 | 0 | 0 | 0 | n.a. | n.a. | - | FastRand32 | LCG(2^32, 69069, 1) | 1 x 4-bytes | 2^32 | 11 | 106 | *too many* | 0.67 | 3.20 | - | FastRand63 | LCG(2^63, 9219741426499971445, 1) | 2 x 4-bytes | 2^63 | 0 | 5 | 7 | 0.75 | 4.20 | - | LFib78 | LFib(2^64, 17, 5, +) | 34 x 4-bytes | 2^78 | 0 | 0 | 0 | 1.1 | n.a. | - | LFib116 | LFib(2^64, 55, 24, +) | 110 x 4-bytes | 2^116 | 0 | 0 | 0 | 1.0 | n.a. | - | LFib668 | LFib(2^64, 607, 273, +) | 1,214 x 4-bytes | 2^668 | 0 | 0 | 0 | 0.9 | n.a. | - | LFib1340 | LFib(2^64, 1279, 861, +) | 2,558 x 4-bytes | 2^1,340 | 0 | 0 | 0 | 0.9 | n.a. | - | Melg607 | *Melg607-64* | 21 x 4-bytes | 2^607 | 0 | 0 | 0 | n.a. | n.a | - | Melg19937 | *Melg19937-64* | 625 x 4-bytes | 2^19,937 | 0 | 0 | 0 | n.a. | n.a | - | Melg44497 | *Melg44497-64* | 1,392 x 4-bytes | 2^44,497 | 0 | 0 | 0 | n.a. | n.a | - | Mrg287 | Marsa-LFIB4 | 256 x 4-bytes | 2^287 | 0 | 0 | 0 | 0.8 | 3.40 | - | Mrg1457 | DX-47-3 | 47 x 4-bytes | 2^1,457 | 0 | 0 | 0 | 1.4 | n.a. | - | Mrg49507 | DX-1597-2-7 | 1,597 x 4-bytes | 2^49,507 | 0 | 0 | 0 | 1.4 | n.a. | - | Pcg64_32 | *PCG XSH RS 64/32 (LCG)* | 2 x 4 bytes | 2^64 | 0 | 0 | 0 | n.a. | n.a. | - | Pcg128_64 | *PCG XSL RR 128/64 (LCG)* | 4 x 4 bytes | 2^128 | 0 | 0 | 0 | n.a. | n.a. | - | Pcg1024_32 | *PCG XSH RS 64/32 (EXT 1024)* | 1,026 x 4 bytes | 2^32,830 | 0 | 0 | 0 | n.a. | n.a. | - | Squares32 | *squares32* | 4 x 4-bytes | 2^64 | 0 | 0 | 0 | n.a. | n.a. | - | Squares64 | *squares64* | 4 x 4-bytes | 2^64 | 0 | 0 | 0 | n.a. | n.a. | - | Well512a | not available | 16 x 4-bytes | 2^512 | n.a. | n.a. | n.a. | n.a. | n.a. | - | Well1024a | WELL1024a | 32 x 4-bytes | 2^1,024 | 0 | 4 | 4 | 1.1 | 4.0 | - | Well19937c (2) | WELL19937a | 624 x 4-bytes | 2^19,937 | 0 | 2 | 2 | 1.3 | 4.3 | - | Well44497b (3) | not available | 1,391 x 4-bytes | 2^44,497 | n.a. | n.a. | n.a. | n.a. | n.a. | - | Mersenne Twister | MT19937 | 624 x 4-bytes | 2^19,937 | 0 | 2 | 2 | 1.6 | 4.30 | - | Xoroshiro256 | *xiroshiro256*** | 16 x 4-bytes | 2^256 | 0 | 0 | 0 | 0.84 | n.a. | - | Xoroshiro512 | *xiroshiro512*** | 32 x 4-bytes | 2^512 | 0 | 0 | 0 | 0.99 | n.a. | - | Xoroshiro1024 | *xiroshiro1024*** | 64 x 4-bytes | 2^1,024 | 0 | 0 | 0 | 1.17 | n.a. | + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
PyRandLib classTU01 generator name (1)Memory UsagePeriodSmallCrush failsCrush failsBigCrush failstime-64 bitstime-32bits
Cwg64*CWG64*8 x 4-bytes>= 2^70000n.a.n.a.
Cwg128_64*CWG128-64*10 x 4-bytes>= 2^71000n.a.n.a.
Cwg128*CWG128*16 x 4-bytes>= 2^135000n.a.n.a.
FastRand32LCG(2^32, 69069, 1)1 x 4-bytes2^3211106*too many*0.673.20
FastRand63LCG(2^63, 9219741426499971445, 1)2 x 4-bytes2^630570.754.20
LFib78LFib(2^64, 17, 5, +)34 x 4-bytes2^780001.1n.a.
LFib116LFib(2^64, 55, 24, +)110 x 4-bytes2^1160001.0n.a.
LFib668LFib(2^64, 607, 273, +)1,214 x 4-bytes2^6680000.9n.a.
LFib1340LFib(2^64, 1279, 861, +)2,558 x 4-bytes2^1,3400000.9n.a.
Melg607*Melg607-64*21 x 4-bytes2^607000n.a.n.a
Melg19937*Melg19937-64*625 x 4-bytes2^19,937000n.a.n.a
Melg44497*Melg44497-64*1,392 x 4-bytes2^44,497000n.a.n.a
Mrg287Marsa-LFIB4256 x 4-bytes2^2870000.83.40
Mrg1457DX-47-347 x 4-bytes2^1,4570001.4n.a.
Mrg49507DX-1597-2-71,597 x 4-bytes2^49,5070001.4n.a.
Pcg64_32*PCG XSH RS 64/32 (LCG)*2 x 4 bytes2^64000n.a.n.a.
Pcg128_64*PCG XSL RR 128/64 (LCG)*4 x 4 bytes2^128000n.a.n.a.
Pcg1024_32*PCG XSH RS 64/32 (EXT 1024)*1,026 x 4 bytes2^32,830000n.a.n.a.
Squares32*squares32*4 x 4-bytes2^64000n.a.n.a.
Squares64*squares64*4 x 4-bytes2^64000n.a.n.a.
Well512anot available16 x 4-bytes2^512n.a.n.a.n.a.n.a.n.a.
Well1024aWELL1024a32 x 4-bytes2^1,0240441.14.0
Well19937c (2)WELL19937a624 x 4-bytes2^19,9370221.34.3
Well44497b (3)not available1,391 x 4-bytes2^44,497n.a.n.a.n.a.n.a.n.a.
Mersenne TwisterMT19937624 x 4-bytes2^19,9370221.64.30
Xoroshiro256*xiroshiro256***16 x 4-bytes2^2560000.84n.a.
Xoroshiro512*xiroshiro512***32 x 4-bytes2^5120000.99n.a.
Xoroshiro1024*xiroshiro1024***64 x 4-bytes2^1,0240001.17n.a.
(1) *or the generator original name in the related more recent paper* (2) The Well19937c generator provided with library PyRandLib implements the Well19937a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. From 720c3dccf85d77a660004690201e10805601778f Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Tue, 14 Oct 2025 23:00:27 +0200 Subject: [PATCH 03/11] #281-modify tables code in README.md Completed. --- README.md | 178 ++++++++++++++++++++++++++++-------------------------- 1 file changed, 91 insertions(+), 87 deletions(-) diff --git a/README.md b/README.md index b7b1517..d98552d 100644 --- a/README.md +++ b/README.md @@ -157,35 +157,35 @@ We add in this table the evaluations provided by the authors of every new PRNGs - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
PyRandLib classTU01 generator name (1)Memory UsagePeriodSmallCrush failsCrush failsBigCrush failstime-64 bitstime-32bits
Cwg64*CWG64*8 x 4-bytes>= 2^70000n.a.n.a.
Cwg128_64*CWG128-64*10 x 4-bytes>= 2^71000n.a.n.a.
Cwg128*CWG128*16 x 4-bytes>= 2^135000n.a.n.a.
FastRand32LCG(2^32, 69069, 1)1 x 4-bytes2^3211106*too many*0.673.20
FastRand63LCG(2^63, 9219741426499971445, 1)2 x 4-bytes2^630570.754.20
LFib78LFib(2^64, 17, 5, +)34 x 4-bytes2^780001.1n.a.
LFib116LFib(2^64, 55, 24, +)110 x 4-bytes2^1160001.0n.a.
LFib668LFib(2^64, 607, 273, +)1,214 x 4-bytes2^6680000.9n.a.
LFib1340LFib(2^64, 1279, 861, +)2,558 x 4-bytes2^1,3400000.9n.a.
Melg607*Melg607-64*21 x 4-bytes2^607000n.a.n.a
Melg19937*Melg19937-64*625 x 4-bytes2^19,937000n.a.n.a
Melg44497*Melg44497-64*1,392 x 4-bytes2^44,497000n.a.n.a
Mrg287Marsa-LFIB4256 x 4-bytes2^2870000.83.40
Mrg1457DX-47-347 x 4-bytes2^1,4570001.4n.a.
Mrg49507DX-1597-2-71,597 x 4-bytes2^49,5070001.4n.a.
Pcg64_32*PCG XSH RS 64/32 (LCG)*2 x 4 bytes2^64000n.a.n.a.
Pcg128_64*PCG XSL RR 128/64 (LCG)*4 x 4 bytes2^128000n.a.n.a.
Pcg1024_32*PCG XSH RS 64/32 (EXT 1024)*1,026 x 4 bytes2^32,830000n.a.n.a.
Squares32*squares32*4 x 4-bytes2^64000n.a.n.a.
Squares64*squares64*4 x 4-bytes2^64000n.a.n.a.
Well512anot available16 x 4-bytes2^512n.a.n.a.n.a.n.a.n.a.
Well1024aWELL1024a32 x 4-bytes2^1,0240441.14.0
Well19937c (2)WELL19937a624 x 4-bytes2^19,9370221.34.3
Well44497b (3)not available1,391 x 4-bytes2^44,497n.a.n.a.n.a.n.a.n.a.
Mersenne TwisterMT19937624 x 4-bytes2^19,9370221.64.30
Xoroshiro256*xiroshiro256***16 x 4-bytes2^2560000.84n.a.
Xoroshiro512*xiroshiro512***32 x 4-bytes2^5120000.99n.a.
Xoroshiro1024*xiroshiro1024***64 x 4-bytes2^1,0240001.17n.a.
PyRandLib classTU01 generator name (1)Memory UsagePeriodSmallCrush failsCrush failsBigCrush failstime-64 bitstime-32bits
Cwg64*CWG64*8 x 4-bytes>= 2^70000n.a.n.a.
Cwg128_64*CWG128-64*10 x 4-bytes>= 2^71000n.a.n.a.
Cwg128*CWG128*16 x 4-bytes>= 2^135000n.a.n.a.
FastRand32LCG(2^32, 69069, 1)1 x 4-bytes2^3211106*too many*0.673.20
FastRand63LCG(2^63, 9219741426499971445, 1)2 x 4-bytes2^630570.754.20
LFib78LFib(2^64, 17, 5, +)34 x 4-bytes2^780001.1n.a.
LFib116LFib(2^64, 55, 24, +)110 x 4-bytes2^1160001.0n.a.
LFib668LFib(2^64, 607, 273, +)1,214 x 4-bytes2^6680000.9n.a.
LFib1340LFib(2^64, 1279, 861, +)2,558 x 4-bytes2^1,3400000.9n.a.
Melg607*Melg607-64*21 x 4-bytes2^607000n.a.n.a
Melg19937*Melg19937-64*625 x 4-bytes2^19,937000n.a.n.a
Melg44497*Melg44497-64*1,392 x 4-bytes2^44,497000n.a.n.a
Mrg287Marsa-LFIB4256 x 4-bytes2^2870000.83.40
Mrg1457DX-47-347 x 4-bytes2^1,4570001.4n.a.
Mrg49507DX-1597-2-71,597 x 4-bytes2^49,5070001.4n.a.
Pcg64_32*PCG XSH RS 64/32 (LCG)*2 x 4 bytes2^64000n.a.n.a.
Pcg128_64*PCG XSL RR 128/64 (LCG)*4 x 4 bytes2^128000n.a.n.a.
Pcg1024_32*PCG XSH RS 64/32 (EXT 1024)*1,026 x 4 bytes2^32,830000n.a.n.a.
Squares32*squares32*4 x 4-bytes2^64000n.a.n.a.
Squares64*squares64*4 x 4-bytes2^64000n.a.n.a.
Well512anot available16 x 4-bytes2^512n.a.n.a.n.a.n.a.n.a.
Well1024aWELL1024a32 x 4-bytes2^1,0240441.14.0
Well19937c (2)WELL19937a624 x 4-bytes2^19,9370221.34.3
Well44497b (3)not available1,391 x 4-bytes2^44,497n.a.n.a.n.a.n.a.n.a.
Mersenne TwisterMT19937624 x 4-bytes2^19,9370221.64.30
Xoroshiro256*xiroshiro256***16 x 4-bytes2^2560000.84n.a.
Xoroshiro512*xiroshiro512***32 x 4-bytes2^5120000.99n.a.
Xoroshiro1024*xiroshiro1024***64 x 4-bytes2^1,0240001.17n.a.
@@ -217,70 +217,74 @@ The Python versions used for these evaluations in their related virtual environm * 3.14.0 (Oct. 7, 2025) **PyRandLib** time-64 bits table, Intel® Core™ **i7-150U** CPU @ 1.80 GHz: - | PyRabndLib class | Python 3.9 | Python 3.10 | Python 3.11 | Python 3.12 | Python 3.13 | Python 3.14 | SmallCrush fails | Crush fails | BigCrush fails | - | ---------------- | ---------- | ----------- | ----------- | ----------- | ----------- | ----------- | ---------------- | ----------- | -------------- | - | Cwg64 | 0.45 | 0.44 | 0.49 | 0.56 | 0.37 | 0.24 | *0* | *0* | *0* | - | Cwg128_64 | 0.47 | 0.46 | 0.50 | 0.59 | 0.38 | 0.26 | *0* | *0* | *0* | - | Cwg128 | 0.52 | 0.54 | 0.54 | 0.64 | 0.41 | 0.26 | *0* | *0* | *0* | - | FastRand32 | 0.15 | 0.16 | 0.14 | 0.17 | 0.11 | 0.07 | *11* | *106* | *too many* | - | FastRand63 | 0.16 | 0.17 | 0.16 | 0.18 | 0.11 | 0.08 | *0* | *5* | *7* | - | LFib78 | 0.28 | 0.29 | 0.27 | 0.32 | 0.20 | 0.11 | *0* | *0* | *0* | - | LFib116 | 0.29 | 0.29 | 0.28 | 0.32 | 0.21 | 0.11 | *0* | *0* | *0* | - | LFib668 | 0.30 | 0.30 | 0.29 | 0.34 | 0.22 | 0.12 | *0* | *0* | *0* | - | LFib1340 | 0.31 | 0.31 | 0.30 | 0.35 | 0.22 | 0.13 | *0* | *0* | *0* | - | Melg607 | 0.73 | 0.74 | 0.73 | 0.79 | 0.61 | 0.50 | *0* | *0* | *0* | - | Melg19937 | 0.76 | 0.74 | 0.76 | 0.82 | 0.60 | 0.51 | *0* | *0* | *0* | - | Melg44497 | 0.75 | 0.76 | 0.77 | 0.82 | 0.62 | 0.52 | *0* | *0* | *0* | - | Mrg287 | 0.46 | 0.48 | 0.44 | 0.51 | 0.34 | 0.21 | *0* | *0* | *0* | - | Mrg1457 | 0.43 | 0.44 | 0.41 | 0.48 | 0.32 | 0.21 | *0* | *0* | *0* | - | Mrg49507 | 0.44 | 0.45 | 0.42 | 0.48 | 0.34 | 0.24 | *0* | *0* | *0* | - | Pcg64_32 | 0.30 | 0.31 | 0.28 | 0.32 | 0.22 | 0.19 | *0* | *0* | *0* | - | Pcg128_64 | 0.45 | 0.46 | 0.44 | 0.49 | 0.34 | 0.30 | *0* | *0* | *0* | - | Pcg1024_32 | 0.58 | 0.59 | 0.54 | 0.55 | 0.39 | 0.33 | *0* | *0* | *0* | - | Squares32 | 0.83 | 0.83 | 0.82 | 0.92 | 0.67 | 0.63 | *0* | *0* | *0* | - | Squares64 | 1.02 | 1.01 | 1.01 | 1.14 | 0.86 | 0.80 | *0* | *0* | *0* | - | Well512a | 1.37 | 1.44 | 1.27 | 1.42 | 1.10 | 0.88 | *n.a.* | *n.a.* | n.a. | - | Well1024a | 1.27 | 1.31 | 1.17 | 1.29 | 1.00 | 0.83 | *0* | *4* | *4* | - | Well19937c (1) | 1.68 | 1.75 | 1.58 | 1.76 | 1.38 | 1.26 | *0* | *2* | *2* | - | Well44497b (2) | 1.91 | 1.99 | 1.80 | 2.02 | 1.63 | 1.43 | *n.a.* | *n.a.* | n.a. | - | Xoroshiro256 | 1.39 | 1.38 | 1.31 | 1.47 | 1.06 | 0.98 | *0* | *0* | *0* | - | Xoroshiro512 | 1.70 | 1.67 | 1.60 | 1.77 | 1.37 | 1.17 | *0* | *0* | *0* | - | Xoroshiro1024 | 1.63 | 1.63 | 1.52 | 1.72 | 1.26 | 1.15 | *0* | *0* | *0* | + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
PyRandLib classPython 3.9Python 3.10Python 3.11Python 3.12Python 3.13Python 3.14SmallCrush failsCrush failsBigCrush fails
Cwg640.450.440.490.560.370.24*0**0**0*
Cwg128_640.470.460.500.590.380.26*0**0**0*
Cwg1280.520.540.540.640.410.26*0**0**0*
FastRand320.150.160.140.170.110.07*11**106**too many*
FastRand630.160.170.160.180.110.08*0**5**7*
LFib780.280.290.270.320.200.11*0**0**0*
LFib1160.290.290.280.320.210.11*0**0**0*
LFib6680.300.300.290.340.220.12*0**0**0*
LFib13400.310.310.300.350.220.13*0**0**0*
Melg6070.730.740.730.790.610.50*0**0**0*
Melg199370.760.740.760.820.600.51*0**0**0*
Melg444970.750.760.770.820.620.52*0**0**0*
Mrg2870.460.480.440.510.340.21*0**0**0*
Mrg14570.430.440.410.480.320.21*0**0**0*
Mrg495070.440.450.420.480.340.24*0**0**0*
Pcg64_320.300.310.280.320.220.19*0**0**0*
Pcg128_640.450.460.440.490.340.30*0**0**0*
Pcg1024_320.580.590.540.550.390.33*0**0**0*
Squares320.830.830.820.920.670.63*0**0**0*
Squares641.021.011.011.140.860.80*0**0**0*
Well512a1.371.441.271.421.100.88*n.a.**n.a.*n.a.
Well1024a1.271.311.171.291.000.83*0**4**4*
Well19937c (1)1.681.751.581.761.381.26*0**2**2*
Well44497b (2)1.911.991.802.021.631.43*n.a.**n.a.*n.a.
Xoroshiro2561.391.381.311.471.060.98*0**0**0*
Xoroshiro5121.701.671.601.771.371.17*0**0**0*
Xoroshiro10241.631.631.521.721.261.15*0**0**0*
(1) The Well19937c generator provided with library PyRandLib implements the Well19937a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. (2) The Well44497b generator provided with library PyRandLib implements the Well44497a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. **PyRandLib** time-64 bits table, Intel® Core™ **i5-1035G1** CPU @ 1.00 GHz: - | PyRabndLib class | Python 3.9 | Python 3.10 | Python 3.11 | Python 3.12 | Python 3.13 | Python 3.14 | SmallCrush fails | Crush fails | BigCrush fails | - | ---------------- | ---------- | ----------- | ----------- | ----------- | ----------- | ----------- | ---------------- | ----------- | -------------- | - | Cwg64 | 0.79 | 0.77 | 0.84 | 0.97 | 0.76 | 0.48 | *0* | *0* | *0* | - | Cwg128_64 | 0.82 | 0.80 | 0.88 | 0.99 | 0.78 | 0.49 | *0* | *0* | *0* | - | Cwg128 | 0.89 | 0.94 | 0.96 | 1.13 | 0.83 | 0.52 | *0* | *0* | *0* | - | FastRand32 | 0.27 | 0.27 | 0.26 | 0.31 | 0.21 | 0.14 | *11* | *106* | *too many* | - | FastRand63 | 0.30 | 0.29 | 0.29 | 0.35 | 0.22 | 0.15 | *0* | *5* | *7* | - | LFib78 | 0.52 | 0.49 | 0.50 | 0.56 | 0.35 | 0.21 | *0* | *0* | *0* | - | LFib116 | 0.53 | 0.51 | 0.51 | 0.57 | 0.36 | 0.22 | *0* | *0* | *0* | - | LFib668 | 0.55 | 0.52 | 0.53 | 0.60 | 0.39 | 0.24 | *0* | *0* | *0* | - | LFib1340 | 0.55 | 0.53 | 0.55 | 0.62 | 0.41 | 0.25 | *0* | *0* | *0* | - | Melg607 | 1.30 | 1.31 | 1.26 | 1.40 | 1.15 | 0.98 | *0* | *0* | *0* | - | Melg19937 | 1.37 | 1.32 | 1.31 | 1.43 | 1.14 | 0.99 | *0* | *0* | *0* | - | Melg44497 | 1.33 | 1.35 | 1.32 | 1.42 | 1.16 | 0.99 | *0* | *0* | *0* | - | Mrg287 | 0.86 | 0.84 | 0.82 | 0.91 | 0.61 | 0.37 | *0* | *0* | *0* | - | Mrg1457 | 0.81 | 0.78 | 0.76 | 0.86 | 0.61 | 0.40 | *0* | *0* | *0* | - | Mrg49507 | 0.75 | 0.69 | 0.68 | 0.86 | 0.56 | 0.49 | *0* | *0* | *0* | - | Pcg64_32 | 0.56 | 0.52 | 0.48 | 0.56 | 0.44 | 0.40 | *0* | *0* | *0* | - | Pcg128_64 | 0.80 | 0.74 | 0.73 | 0.86 | 0.63 | 0.62 | *0* | *0* | *0* | - | Pcg1024_32 | 1.08 | 1.06 | 0.95 | 0.96 | 0.75 | 0.69 | *0* | *0* | *0* | - | Squares32 | 1.48 | 1.45 | 1.40 | 1.67 | 1.31 | 1.26 | *0* | *0* | *0* | - | Squares64 | 1.83 | 1.79 | 1.71 | 2.01 | 1.62 | 1.62 | *0* | *0* | *0* | - | Well512a | 2.62 | 2.64 | 2.26 | 2.60 | 2.08 | 1.77 | *n.a.* | *n.a.* | n.a. | - | Well1024a | 2.28 | 2.36 | 1.98 | 2.24 | 1.87 | 1.60 | *0* | *4* | *4* | - | Well19937c (1) | 3.23 | 3.44 | 2.84 | 3.12 | 2.61 | 2.44 | *0* | *2* | *2* | - | Well44497b (2) | 3.66 | 3.91 | 3.18 | 3.55 | 2.92 | 2.82 | *n.a.* | *n.a.* | n.a. | - | Xoroshiro256 | 2.37 | 2.24 | 2.25 | 2.55 | 1.93 | 1.87 | *0* | *0* | *0* | - | Xoroshiro512 | 2.94 | 2.81 | 2.72 | 3.04 | 2.30 | 2.27 | *0* | *0* | *0* | - | Xoroshiro1024 | 2.78 | 2.59 | 2.41 | 3.01 | 2.06 | 2.23 | *0* | *0* | *0* | + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
PyRandLib classPython 3.9Python 3.10Python 3.11Python 3.12Python 3.13Python 3.14SmallCrush failsCrush failsBigCrush fails
Cwg640.790.770.840.970.760.48*0**0**0*
Cwg128_640.820.800.880.990.780.49*0**0**0*
Cwg1280.890.940.961.130.830.52*0**0**0*
FastRand320.270.270.260.310.210.14*11**106**too many*
FastRand630.300.290.290.350.220.15*0**5**7*
LFib780.520.490.500.560.350.21*0**0**0*
LFib1160.530.510.510.570.360.22*0**0**0*
LFib6680.550.520.530.600.390.24*0**0**0*
LFib13400.550.530.550.620.410.25*0**0**0*
Melg6071.301.311.261.401.150.98*0**0**0*
Melg199371.371.321.311.431.140.99*0**0**0*
Melg444971.331.351.321.421.160.99*0**0**0*
Mrg2870.860.840.820.910.610.37*0**0**0*
Mrg14570.810.780.760.860.610.40*0**0**0*
Mrg495070.750.690.680.860.560.49*0**0**0*
Pcg64_320.560.520.480.560.440.40*0**0**0*
Pcg128_640.800.740.730.860.630.62*0**0**0*
Pcg1024_321.081.060.950.960.750.69*0**0**0*
Squares321.481.451.401.671.311.26*0**0**0*
Squares641.831.791.712.011.621.62*0**0**0*
Well512a2.622.642.262.602.081.77*n.a.**n.a.*n.a.
Well1024a2.282.361.982.241.871.60*0**4**4*
Well19937c (1)3.233.442.843.122.612.44*0**2**2*
Well44497b (2)3.663.913.183.552.922.82*n.a.**n.a.*n.a.
Xoroshiro2562.372.242.252.551.931.87*0**0**0*
Xoroshiro5122.942.812.723.042.302.27*0**0**0*
Xoroshiro10242.782.592.413.012.062.23*0**0**0*
(1) The Well19937c generator provided with library PyRandLib implements the Well19937a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. (2) The Well44497b generator provided with library PyRandLib implements the Well44497a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. From bcb5b6649a99f59872c11ec59876d5aec0aae0cf Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Tue, 14 Oct 2025 23:04:10 +0200 Subject: [PATCH 04/11] #281-modify tables code in README.md Fixed a typo in last HTML table header. --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index d98552d..abdd3ee 100644 --- a/README.md +++ b/README.md @@ -255,7 +255,7 @@ The Python versions used for these evaluations in their related virtual environm **PyRandLib** time-64 bits table, Intel® Core™ **i5-1035G1** CPU @ 1.00 GHz: - + From 870721672b7d054cc7e0322ef98335f8bff448ae Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Tue, 14 Oct 2025 23:10:18 +0200 Subject: [PATCH 05/11] #281-modify tables code in README.md Fixed empty rtows in tables. --- README.md | 6 +----- 1 file changed, 1 insertion(+), 5 deletions(-) diff --git a/README.md b/README.md index abdd3ee..801a141 100644 --- a/README.md +++ b/README.md @@ -155,8 +155,7 @@ In [1], every known PRNG at the time of the editing has been tested according to We give you here below a copy of the resulting table for the PRNGs that have been implemented in **PyRandLib**, as provided in [1], plus the Mersenne twister one which is not implemented in **PyRandLib**. We add in this table the evaluations provided by the authors of every new PRNGs that have been described after the publication of [1]. Fields may be missing then for them. A comparison of the computation times for all implemented PRNGs in **PyRandLib** is provided in an another belowing table. -
PyRandLib classPython 3.9Python 3.10Python 3.11Python 3.12Python 3.13Python 3.14SmallCrush failsCrush failsBigCrush fails
PyRandLib classPython 3.9Python 3.10Python 3.11Python 3.12Python 3.13Python 3.14SmallCrush failsCrush failsBigCrush fails
Cwg640.790.770.840.970.760.48*0**0**0*
Cwg128_640.820.800.880.990.780.49*0**0**0*
Cwg1280.890.940.961.130.830.52*0**0**0*
- +
@@ -186,7 +185,6 @@ We add in this table the evaluations provided by the authors of every new PRNGs -
PyRandLib classTU01 generator name (1)Memory UsagePeriodSmallCrush failsCrush failsBigCrush failstime-64 bitstime-32bits
Cwg64*CWG64*8 x 4-bytes>= 2^70000n.a.n.a.
Cwg128_64*CWG128-64*10 x 4-bytes>= 2^71000n.a.n.a.
Xoroshiro256*xiroshiro256***16 x 4-bytes2^2560000.84n.a.
Xoroshiro512*xiroshiro512***32 x 4-bytes2^5120000.99n.a.
Xoroshiro1024*xiroshiro1024***64 x 4-bytes2^1,0240001.17n.a.
(1) *or the generator original name in the related more recent paper* @@ -246,7 +244,6 @@ The Python versions used for these evaluations in their related virtual environm Xoroshiro2561.391.381.311.471.060.98*0**0**0* Xoroshiro5121.701.671.601.771.371.17*0**0**0* Xoroshiro10241.631.631.521.721.261.15*0**0**0* - (1) The Well19937c generator provided with library PyRandLib implements the Well19937a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. @@ -283,7 +280,6 @@ The Python versions used for these evaluations in their related virtual environm Xoroshiro2562.372.242.252.551.931.87*0**0**0* Xoroshiro5122.942.812.723.042.302.27*0**0**0* Xoroshiro10242.782.592.413.012.062.23*0**0**0* - (1) The Well19937c generator provided with library PyRandLib implements the Well19937a algorithm augmented with an associated *tempering* algorithm - see [6] p.9. From 2b6c1b0a6734e321e6ab0af6eb9d78465ae2b323 Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Tue, 14 Oct 2025 23:25:24 +0200 Subject: [PATCH 06/11] #282-Fix typos in README.md Fixed typos AND enhanced some sentences. --- README.md | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/README.md b/README.md index 801a141..2d2c15f 100644 --- a/README.md +++ b/README.md @@ -32,7 +32,7 @@ SOFTWARE. ## Intro -This library implements some of the best-in-class pseudo random generators as evaluated by Pierre L'Ecuyer and Richard Simard in their famous paper "TestU01: A C library for empirical testing of random number generators" (ACM Trans. Math. Softw. Vol. 33 N.4, August 2007 - see reference [1]. The reader will take benefit reading L'Ecuyer & Simard's paper. It implements also newer pseudo random generators that have been published since then. Their exhaustive list is provided here below and is valid for version 2.0 and above (i.e. since 2025/03): +This library implements some of the best-in-class pseudo random generators as evaluated by Pierre L'Ecuyer and Richard Simard in their famous paper "TestU01: A C library for empirical testing of random number generators" (ACM Trans. Math. Softw. Vol. 33 N.4, August 2007 - see reference [1]). The reader will take benefit from reading L'Ecuyer & Simard's paper. This library implements also newer pseudo random generators that have been published since then. Their exhaustive list is provided here below and is valid for versions 2.0 and above of the library (i.e. since 2025/03): * **Collatz-Weyl Generator** (Tomasz R. Dziala, **2023**) (CWG, 64 bits, 128 bits or 128/64 bits, 3 different values of periodicities, see reference [8]); @@ -58,14 +58,14 @@ Each of the Pseudo Random Numbers Generator (PRNG) implemented in **PyRandLib** Latest version of **PyRandLib** is version **2.2**, released by October 2025. * It provides implementations dedicated to different versions of Python: 3.6 (the original version of the library), 3.9, 3.10, 3.11, 3.12, 3.13 and 3.14. -* Time performances of every PRNG and for each version of Python (starting at 3.9) have been evaluated and are provided in a table below - see section *CPU Performances*. +* Time performances of every PRNG and for each version of Python (starting at 3.9) have been evaluated and are provided in tables below - see section *CPU Performances*. * Furthermore, starting from release 2.1 **PyRandLib** is **fully validated**. PyTest and PyTest-cov are now used to unit-test the code with a full 100% code coverage. ### Why not Mersenne twister? -The Mersenne twister PRNG proposed by Matsumoto and Nishimura - see [5] - is the most widely used one. The Random class of module random in Python implements this PRNG. It is also implemented in C++ and Java standard libraries for instance. +The Mersenne twister PRNG proposed by Matsumoto and Nishimura - see [5] - is the most widely used PRNG. The Random class of module random in Python implements this PRNG. It is also implemented in C++ and Java standard libraries for instance. It offers a very good period (2^19937, i.e. about 4.3e6001). Unfortunately, this PRNG is a little bit long to compute (up to 3 times than LCGs, 60% more than LFibs and a little bit less than MRGs, see below at section 'Architecture overview'). Moreover, it fails four of the hardest TestU01 tests. You can still use it as your preferred PRNG but **PyRandLib** implements many other PRNGs that are either far faster or far better in terms of generated pseudo-randomness than the Mersenne twister PRNG. @@ -79,7 +79,7 @@ Since release **2.0** of **PyrandLib** (Mar. 2025), the root directory of the li Since release **2.1** of **PyRandLib** (Jun. 2025), the whole code has been validated with unit tests (via *pytest* and *pytest-cov*). A few bugs have been fixed (*protected method `Pcg1024_32._externalstep()` implementation, or a typo in a shifting constant in Well19937c`.next()` for instance*). The code coverage rate is 100%. Pytest coverage output results are provided in files `coverage-res.txt`. Release **2.0** of **PyRandLib** is nevertheless still available **but it should no more be used**. -Release **2.2** (Oct. 2025) provides code for Python 3.14. Code is identical to the one provided for Python 3.13, with a very few optimizations on some generators code. Notice: the CPU performance tests show that Python 3.14 runs faster than Python 3.13 on same PyRandLib code. +Release **2.2** (Oct. 2025) provides code for Python 3.14. This code is identical to the one provided for Python 3.13, with a very few optimizations on some generators implementation. Notice: the CPU performance tests show that Python 3.14 runs faster than Python 3.13 on same PyRandLib code. **Notice**: distribution version to be installed via pip or easy-install in cmd tool or in console is still to come (no date yet, expected with release **3.0** of **PyRandLib**). @@ -91,7 +91,7 @@ The unit tests code is available for every Python standard version (3.6, 3.9 and ### Install pytest and pytest-cov To run the unit tests by your own, you have to install first pytest and pytest-cov in your Python environment (or virtual environment, recommended). The procedure is desribed below. -#### In a Virtual environment +#### Either in a Virtual environment In a console, create a new virtual environment in a path of your choice on disk: > python -m venv @@ -113,7 +113,7 @@ Install pytest-cov: > python -m pip install pytest-cov -#### In your Python environment: +#### Or in your Python environment: Install pytest: > python -m pip install --upgrade pip @@ -153,7 +153,7 @@ In [1], every known PRNG at the time of the editing has been tested according to * **_big crush_** is the ultimate set of difficult tests that any **good** PRNG should definitively pass. We give you here below a copy of the resulting table for the PRNGs that have been implemented in **PyRandLib**, as provided in [1], plus the Mersenne twister one which is not implemented in **PyRandLib**. -We add in this table the evaluations provided by the authors of every new PRNGs that have been described after the publication of [1]. Fields may be missing then for them. A comparison of the computation times for all implemented PRNGs in **PyRandLib** is provided in an another belowing table. +We add in this table the evaluations provided by the authors of every new PRNGs that have been described and published after the publication of [1]. Some fields may be missing then for them. A comparison of the computation times for all implemented PRNGs in **PyRandLib** is provided in other belowing tables. @@ -208,9 +208,9 @@ The evaluation script is provided at the root of **PyRandLib** repository: `test The Python versions used for these evaluations in their related virtual environment are (all 64-bits): * 3.9.24 (Oct. 9, 2025) -* 3.10.19 (0ct. 9, 2025) -* 3.11.14 (0ct. 9, 2025) -* 3.12.12 (0ct. 9, 2025) +* 3.10.19 (Oct. 9, 2025) +* 3.11.14 (Oct. 9, 2025) +* 3.12.12 (Oct. 9, 2025) * 3.13.8 (Oct. 7, 2025) * 3.14.0 (Oct. 7, 2025) From 4df88e69a410dd20d586143f79b78231f7f7b72c Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Thu, 16 Oct 2025 00:00:35 +0200 Subject: [PATCH 07/11] #284-add library banner or image in README.md First attempt. --- README.md | 2 ++ lib-banner.jpg | Bin 0 -> 117127 bytes lib-pict.jpg | Bin 0 -> 357415 bytes 3 files changed, 2 insertions(+) create mode 100644 lib-banner.jpg create mode 100644 lib-pict.jpg diff --git a/README.md b/README.md index 2d2c15f..5f75e7b 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,5 @@ +library banner + # PyRandLib [![license](http://img.shields.io/github/license/schmouk/pyrandlib.svg?style=plastic&labelColor=blueviolet&color=lightblue)](https://github.com/schmouk/pyrandlib/license) [![Latest release](http://img.shields.io/github/release/schmouk/pyrandlib.svg?style=plastic&labelColor=blueviolet&color=success)](https://github.com/schmouk/pyrandlib/releases) [![code_coverage](https://img.shields.io/badge/code_coverage-100%25-success?style=plastic&labelColor=blueviolet)]() [![tests](https://img.shields.io/badge/tests-passed-success?style=plastic&labelColor=blueviolet)]() Many best in class pseudo random generators grouped into one simple library. diff --git a/lib-banner.jpg b/lib-banner.jpg new file mode 100644 index 0000000000000000000000000000000000000000..69f60a66d4970990bf23d2812c9b6a7fd3116855 GIT binary patch literal 117127 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b/_config.yml index 431aabd..1b2e60e 100644 --- a/_config.yml +++ b/_config.yml @@ -1,3 +1,3 @@ -theme: jekyll-theme-slate +theme: jekyll-theme-cayman show_downloads: true From 9af3ee3547f8ba009aa653ae4c15d96525560064 Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Thu, 16 Oct 2025 00:27:15 +0200 Subject: [PATCH 09/11] Change theme from 'jekyll-theme-cayman' to 'jekyll-theme-dinky' --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 1b2e60e..9b889ea 100644 --- a/_config.yml +++ b/_config.yml @@ -1,3 +1,3 @@ -theme: jekyll-theme-cayman +theme: jekyll-theme-dinky show_downloads: true From f6a839ccef927eb0c89ec1a92f27aa9090dff509 Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Thu, 16 Oct 2025 00:29:06 +0200 Subject: [PATCH 10/11] v1.0.0 release Reversed theme to the original one. --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 9b889ea..431aabd 100644 --- a/_config.yml +++ b/_config.yml @@ -1,3 +1,3 @@ -theme: jekyll-theme-dinky +theme: jekyll-theme-slate show_downloads: true From fef7cfb4c9e68cee7617433829c06778b0c07e33 Mon Sep 17 00:00:00 2001 From: Philippe Schmouker Date: Thu, 16 Oct 2025 15:19:59 +0200 Subject: [PATCH 11/11] #285-modify file README.md just a test. --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 5f75e7b..fc1fca2 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ library banner -# PyRandLib [![license](http://img.shields.io/github/license/schmouk/pyrandlib.svg?style=plastic&labelColor=blueviolet&color=lightblue)](https://github.com/schmouk/pyrandlib/license) [![Latest release](http://img.shields.io/github/release/schmouk/pyrandlib.svg?style=plastic&labelColor=blueviolet&color=success)](https://github.com/schmouk/pyrandlib/releases) [![code_coverage](https://img.shields.io/badge/code_coverage-100%25-success?style=plastic&labelColor=blueviolet)]() [![tests](https://img.shields.io/badge/tests-passed-success?style=plastic&labelColor=blueviolet)]() -Many best in class pseudo random generators grouped into one simple library. +[![license](http://img.shields.io/github/license/schmouk/pyrandlib.svg?style=plastic&labelColor=blueviolet&color=lightblue)](https://github.com/schmouk/pyrandlib/license) [![Latest release](http://img.shields.io/github/release/schmouk/pyrandlib.svg?style=plastic&labelColor=blueviolet&color=success)](https://github.com/schmouk/pyrandlib/releases) [![code_coverage](https://img.shields.io/badge/code_coverage-100%25-success?style=plastic&labelColor=blueviolet)]() [![tests](https://img.shields.io/badge/tests-passed-success?style=plastic&labelColor=blueviolet)]() +

PyRandLib classTU01 generator name (1)Memory UsagePeriodSmallCrush failsCrush failsBigCrush failstime-64 bitstime-32bits