test weakness: practrand correctly blames dieharder for false-positives and bad tests

[rurban]

See https://github.com/rurban/PractRand/blob/master/doc/PractRand.txt#L137

Dieharder - http://www.phy.duke.edu/~rgb/General/dieharder.php
    quality: bad
    presentation: decent
    open source: viral (GPL)
    multithreaded: no? (don't remember)
    Pretty bad at the moment, but some parts show the potential 
    to be very good with a little more work.  
    The command line interface can be very convenient for 
    scripting.  
    I was unable to build it on win32.  
    The default test set is particularly awful.  
    Several tests have false-positive issues.

In detail compare to the TestU01 and practrand results: https://github.com/lemire/testingRNG/#testu01-results

I did fix the Windows problems, practrand can only be compiled under windows (e.g. due to wrong include casing).

[rurban]

• xoroshift128plus dieharder: GOOD (need to take the Y1 result with 10 weaknesses) TestU01: Summary for xoroshiro128plus lsb 32-bits (4 crushes):

  • 1 unnoteworthy blips (#76) Summary for xoroshiro128plus lsb 32-bits (bit reverse) (4 crushes):

    • 68: MatrixRank, L=1000, r=0: FAIL!! -- p-values too unlikely (eps, eps, eps, eps) -- ALL CRUSHES FAIL!!

    • 71: MatrixRank, L=5000: FAIL!! -- p-values too unlikely (eps, eps, eps, eps) -- ALL CRUSHES FAIL!!

    • 80: LinearComp, r = 0: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

      Summary for xoroshiro128plus lsb 32-bits (byte reverse) (4 crushes):

    • 71: MatrixRank, L=5000: FAIL!! -- p-values too unlikely (eps, eps, eps, eps) -- ALL CRUSHES FAIL!!

      Summary for xoroshiro128plus msb 32-bits (4 crushes):

    • 4 unnoteworthy blips (#11, #38, #97, #98) Summary for xoroshiro128plus msb 32-bits (bit reverse) (4 crushes):
    • 2 unnoteworthy blips (#48, #88) PractRand: [Low4/64]BRank(12):768(1) R= +1272 p~= 5.4e-384 FAIL

• MT dieharder: GOOD (1 weak, 2 weak with Y1) TestU01: reviewing mersennetwister lsb 32-bits Summary for mersennetwister lsb 32-bits (4 crushes):

  • 80: LinearComp, r = 0: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

  • 81: LinearComp, r = 29: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

    reviewing mersennetwister lsb 32-bits (bit reverse) Summary for mersennetwister lsb 32-bits (bit reverse) (4 crushes):

  • 80: LinearComp, r = 0: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

  • 81: LinearComp, r = 29: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

  • 2 unnoteworthy blips (#9, #25) reviewing mersennetwister lsb 32-bits (byte reverse) Summary for mersennetwister lsb 32-bits (byte reverse) (4 crushes):

  • 80: LinearComp, r = 0: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

  • 81: LinearComp, r = 29: FAIL!! -- p-values too unlikely (1 - eps1, 1 - eps1, 1 - eps1, 1 - eps1) -- ALL CRUSHES FAIL!!

  • 2 unnoteworthy blips (#25, #74) PractRand: [Low16/64]BRank(12):12K(1) R= +3016 p~= 6.7e-909 FAIL