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  1. [Date and time of compilation of the test program: 2020-11-26, 21:23:53]
  2. [Date and time of start of this test: 2020-11-29, 17:52:29]
  3.  
  4. xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  5. Starting BigCrush
  6. Version: TestU01 1.2.3
  7. xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  8.  
  9.  
  10. ***********************************************************
  11. Test smarsa_SerialOver calling smultin_MultinomialOver
  12.  
  13. ***********************************************************
  14. HOST =
  15.  
  16. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  17.  
  18.  
  19. smultin_MultinomialOver test:
  20. -----------------------------------------------
  21. N = 1, n = 1000000000, r = 0, d = 256, t = 3,
  22. Sparse = FALSE
  23.  
  24. GenerCell = smultin_GenerCellSerial
  25. Number of cells = d^t = 16777216
  26. Expected number per cell = 59.604645
  27. Hashing = FALSE
  28.  
  29. For Delta > -1, we use the ChiSquare approximation
  30. Correction factor of the ChiSquare:
  31. Delta = 1, Mu = 0.0083558402, Sigma = 1
  32.  
  33. -----------------------------------------------
  34. Test Results for Delta = 1.0000
  35.  
  36. Number of degrees of freedom : 16711680
  37. Value of the statistic : 1.67e+07
  38. p-value of test : 0.73
  39.  
  40.  
  41. -----------------------------------------------
  42. CPU time used : 00:01:25.15
  43.  
  44. Generator state:
  45.  
  46.  
  47.  
  48.  
  49. ***********************************************************
  50. Test smarsa_SerialOver calling smultin_MultinomialOver
  51.  
  52. ***********************************************************
  53. HOST =
  54.  
  55. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  56.  
  57.  
  58. smultin_MultinomialOver test:
  59. -----------------------------------------------
  60. N = 1, n = 1000000000, r = 22, d = 256, t = 3,
  61. Sparse = FALSE
  62.  
  63. GenerCell = smultin_GenerCellSerial
  64. Number of cells = d^t = 16777216
  65. Expected number per cell = 59.604645
  66. Hashing = FALSE
  67.  
  68. For Delta > -1, we use the ChiSquare approximation
  69. Correction factor of the ChiSquare:
  70. Delta = 1, Mu = 0.0083558402, Sigma = 1
  71.  
  72. -----------------------------------------------
  73. Test Results for Delta = 1.0000
  74.  
  75. Number of degrees of freedom : 16711680
  76. Value of the statistic : 1.67e+07
  77. p-value of test : 0.42
  78.  
  79.  
  80. -----------------------------------------------
  81. CPU time used : 00:01:29.12
  82.  
  83. Generator state:
  84.  
  85.  
  86.  
  87.  
  88. ***********************************************************
  89. Test smarsa_CollisionOver calling smultin_MultinomialOver
  90.  
  91. ***********************************************************
  92. HOST =
  93.  
  94. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  95.  
  96.  
  97. smultin_MultinomialOver test:
  98. -----------------------------------------------
  99. N = 30, n = 20000000, r = 0, d = 2097152, t = 2,
  100. Sparse = TRUE
  101.  
  102. GenerCell = smultin_GenerCellSerial
  103. Number of cells = d^t = 4398046511104
  104. Expected number per cell = 1 / 219902.33
  105. EColl = n^2 / (2k) = 45.47473509
  106. Hashing = TRUE
  107.  
  108. Collision test
  109.  
  110. CollisionOver: density = n / k = 1 / 219902.33
  111. Expected number of collisions = Mu = 45.47
  112.  
  113.  
  114. -----------------------------------------------
  115. Results of CollisionOver test:
  116.  
  117. POISSON approximation :
  118. Expected number of collisions = N*Mu : 1364.24
  119. Observed number of collisions : 1268
  120. p-value of test : 0.9956
  121.  
  122. -----------------------------
  123. Total number of cells containing j balls
  124.  
  125. j = 0 : 131940795334388
  126. j = 1 : 599997464
  127. j = 2 : 1268
  128. j = 3 : 0
  129. j = 4 : 0
  130. j = 5 : 0
  131.  
  132. -----------------------------------------------
  133. CPU time used : 00:03:37.18
  134.  
  135. Generator state:
  136.  
  137.  
  138.  
  139.  
  140. ***********************************************************
  141. Test smarsa_CollisionOver calling smultin_MultinomialOver
  142.  
  143. ***********************************************************
  144. HOST =
  145.  
  146. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  147.  
  148.  
  149. smultin_MultinomialOver test:
  150. -----------------------------------------------
  151. N = 30, n = 20000000, r = 9, d = 2097152, t = 2,
  152. Sparse = TRUE
  153.  
  154. GenerCell = smultin_GenerCellSerial
  155. Number of cells = d^t = 4398046511104
  156. Expected number per cell = 1 / 219902.33
  157. EColl = n^2 / (2k) = 45.47473509
  158. Hashing = TRUE
  159.  
  160. Collision test
  161.  
  162. CollisionOver: density = n / k = 1 / 219902.33
  163. Expected number of collisions = Mu = 45.47
  164.  
  165.  
  166. -----------------------------------------------
  167. Results of CollisionOver test:
  168.  
  169. POISSON approximation :
  170. Expected number of collisions = N*Mu : 1364.24
  171. Observed number of collisions : 1364
  172. p-value of test : 0.50
  173.  
  174. -----------------------------
  175. Total number of cells containing j balls
  176.  
  177. j = 0 : 131940795334484
  178. j = 1 : 599997272
  179. j = 2 : 1364
  180. j = 3 : 0
  181. j = 4 : 0
  182. j = 5 : 0
  183.  
  184. -----------------------------------------------
  185. CPU time used : 00:03:38.56
  186.  
  187. Generator state:
  188.  
  189.  
  190.  
  191.  
  192. ***********************************************************
  193. Test smarsa_CollisionOver calling smultin_MultinomialOver
  194.  
  195. ***********************************************************
  196. HOST =
  197.  
  198. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  199.  
  200.  
  201. smultin_MultinomialOver test:
  202. -----------------------------------------------
  203. N = 30, n = 20000000, r = 0, d = 16384, t = 3,
  204. Sparse = TRUE
  205.  
  206. GenerCell = smultin_GenerCellSerial
  207. Number of cells = d^t = 4398046511104
  208. Expected number per cell = 1 / 219902.33
  209. EColl = n^2 / (2k) = 45.47473509
  210. Hashing = TRUE
  211.  
  212. Collision test
  213.  
  214. CollisionOver: density = n / k = 1 / 219902.33
  215. Expected number of collisions = Mu = 45.47
  216.  
  217.  
  218. -----------------------------------------------
  219. Results of CollisionOver test:
  220.  
  221. POISSON approximation :
  222. Expected number of collisions = N*Mu : 1364.24
  223. Observed number of collisions : 1314
  224. p-value of test : 0.91
  225.  
  226. -----------------------------
  227. Total number of cells containing j balls
  228.  
  229. j = 0 : 131940795334434
  230. j = 1 : 599997372
  231. j = 2 : 1314
  232. j = 3 : 0
  233. j = 4 : 0
  234. j = 5 : 0
  235.  
  236. -----------------------------------------------
  237. CPU time used : 00:05:24.07
  238.  
  239. Generator state:
  240.  
  241.  
  242.  
  243.  
  244. ***********************************************************
  245. Test smarsa_CollisionOver calling smultin_MultinomialOver
  246.  
  247. ***********************************************************
  248. HOST =
  249.  
  250. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  251.  
  252.  
  253. smultin_MultinomialOver test:
  254. -----------------------------------------------
  255. N = 30, n = 20000000, r = 16, d = 16384, t = 3,
  256. Sparse = TRUE
  257.  
  258. GenerCell = smultin_GenerCellSerial
  259. Number of cells = d^t = 4398046511104
  260. Expected number per cell = 1 / 219902.33
  261. EColl = n^2 / (2k) = 45.47473509
  262. Hashing = TRUE
  263.  
  264. Collision test
  265.  
  266. CollisionOver: density = n / k = 1 / 219902.33
  267. Expected number of collisions = Mu = 45.47
  268.  
  269.  
  270. -----------------------------------------------
  271. Results of CollisionOver test:
  272.  
  273. POISSON approximation :
  274. Expected number of collisions = N*Mu : 1364.24
  275. Observed number of collisions : 1386
  276. p-value of test : 0.28
  277.  
  278. -----------------------------
  279. Total number of cells containing j balls
  280.  
  281. j = 0 : 131940795334506
  282. j = 1 : 599997228
  283. j = 2 : 1386
  284. j = 3 : 0
  285. j = 4 : 0
  286. j = 5 : 0
  287.  
  288. -----------------------------------------------
  289. CPU time used : 00:05:39.29
  290.  
  291. Generator state:
  292.  
  293.  
  294.  
  295.  
  296. ***********************************************************
  297. Test smarsa_CollisionOver calling smultin_MultinomialOver
  298.  
  299. ***********************************************************
  300. HOST =
  301.  
  302. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  303.  
  304.  
  305. smultin_MultinomialOver test:
  306. -----------------------------------------------
  307. N = 30, n = 20000000, r = 0, d = 64, t = 7,
  308. Sparse = TRUE
  309.  
  310. GenerCell = smultin_GenerCellSerial
  311. Number of cells = d^t = 4398046511104
  312. Expected number per cell = 1 / 219902.33
  313. EColl = n^2 / (2k) = 45.47473509
  314. Hashing = TRUE
  315.  
  316. Collision test
  317.  
  318. CollisionOver: density = n / k = 1 / 219902.33
  319. Expected number of collisions = Mu = 45.47
  320.  
  321.  
  322. -----------------------------------------------
  323. Results of CollisionOver test:
  324.  
  325. POISSON approximation :
  326. Expected number of collisions = N*Mu : 1364.24
  327. Observed number of collisions : 1340
  328. p-value of test : 0.74
  329.  
  330. -----------------------------
  331. Total number of cells containing j balls
  332.  
  333. j = 0 : 131940795334460
  334. j = 1 : 599997320
  335. j = 2 : 1340
  336. j = 3 : 0
  337. j = 4 : 0
  338. j = 5 : 0
  339.  
  340. -----------------------------------------------
  341. CPU time used : 00:05:07.14
  342.  
  343. Generator state:
  344.  
  345.  
  346.  
  347.  
  348. ***********************************************************
  349. Test smarsa_CollisionOver calling smultin_MultinomialOver
  350.  
  351. ***********************************************************
  352. HOST =
  353.  
  354. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  355.  
  356.  
  357. smultin_MultinomialOver test:
  358. -----------------------------------------------
  359. N = 30, n = 20000000, r = 24, d = 64, t = 7,
  360. Sparse = TRUE
  361.  
  362. GenerCell = smultin_GenerCellSerial
  363. Number of cells = d^t = 4398046511104
  364. Expected number per cell = 1 / 219902.33
  365. EColl = n^2 / (2k) = 45.47473509
  366. Hashing = TRUE
  367.  
  368. Collision test
  369.  
  370. CollisionOver: density = n / k = 1 / 219902.33
  371. Expected number of collisions = Mu = 45.47
  372.  
  373.  
  374. -----------------------------------------------
  375. Results of CollisionOver test:
  376.  
  377. POISSON approximation :
  378. Expected number of collisions = N*Mu : 1364.24
  379. Observed number of collisions : 1390
  380. p-value of test : 0.25
  381.  
  382. -----------------------------
  383. Total number of cells containing j balls
  384.  
  385. j = 0 : 131940795334510
  386. j = 1 : 599997220
  387. j = 2 : 1390
  388. j = 3 : 0
  389. j = 4 : 0
  390. j = 5 : 0
  391.  
  392. -----------------------------------------------
  393. CPU time used : 00:05:06.14
  394.  
  395. Generator state:
  396.  
  397.  
  398.  
  399.  
  400. ***********************************************************
  401. Test smarsa_CollisionOver calling smultin_MultinomialOver
  402.  
  403. ***********************************************************
  404. HOST =
  405.  
  406. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  407.  
  408.  
  409. smultin_MultinomialOver test:
  410. -----------------------------------------------
  411. N = 30, n = 20000000, r = 0, d = 8, t = 14,
  412. Sparse = TRUE
  413.  
  414. GenerCell = smultin_GenerCellSerial
  415. Number of cells = d^t = 4398046511104
  416. Expected number per cell = 1 / 219902.33
  417. EColl = n^2 / (2k) = 45.47473509
  418. Hashing = TRUE
  419.  
  420. Collision test
  421.  
  422. CollisionOver: density = n / k = 1 / 219902.33
  423. Expected number of collisions = Mu = 45.47
  424.  
  425.  
  426. -----------------------------------------------
  427. Results of CollisionOver test:
  428.  
  429. POISSON approximation :
  430. Expected number of collisions = N*Mu : 1364.24
  431. Observed number of collisions : 1451
  432. p-value of test : 0.01
  433.  
  434. -----------------------------
  435. Total number of cells containing j balls
  436.  
  437. j = 0 : 131940795334571
  438. j = 1 : 599997098
  439. j = 2 : 1451
  440. j = 3 : 0
  441. j = 4 : 0
  442. j = 5 : 0
  443.  
  444. -----------------------------------------------
  445. CPU time used : 00:05:29.43
  446.  
  447. Generator state:
  448.  
  449.  
  450.  
  451.  
  452. ***********************************************************
  453. Test smarsa_CollisionOver calling smultin_MultinomialOver
  454.  
  455. ***********************************************************
  456. HOST =
  457.  
  458. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  459.  
  460.  
  461. smultin_MultinomialOver test:
  462. -----------------------------------------------
  463. N = 30, n = 20000000, r = 27, d = 8, t = 14,
  464. Sparse = TRUE
  465.  
  466. GenerCell = smultin_GenerCellSerial
  467. Number of cells = d^t = 4398046511104
  468. Expected number per cell = 1 / 219902.33
  469. EColl = n^2 / (2k) = 45.47473509
  470. Hashing = TRUE
  471.  
  472. Collision test
  473.  
  474. CollisionOver: density = n / k = 1 / 219902.33
  475. Expected number of collisions = Mu = 45.47
  476.  
  477.  
  478. -----------------------------------------------
  479. Results of CollisionOver test:
  480.  
  481. POISSON approximation :
  482. Expected number of collisions = N*Mu : 1364.24
  483. Observed number of collisions : 1369
  484. p-value of test : 0.45
  485.  
  486. -----------------------------
  487. Total number of cells containing j balls
  488.  
  489. j = 0 : 131940795334489
  490. j = 1 : 599997262
  491. j = 2 : 1369
  492. j = 3 : 0
  493. j = 4 : 0
  494. j = 5 : 0
  495.  
  496. -----------------------------------------------
  497. CPU time used : 00:05:03.07
  498.  
  499. Generator state:
  500.  
  501.  
  502.  
  503.  
  504. ***********************************************************
  505. Test smarsa_CollisionOver calling smultin_MultinomialOver
  506.  
  507. ***********************************************************
  508. HOST =
  509.  
  510. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  511.  
  512.  
  513. smultin_MultinomialOver test:
  514. -----------------------------------------------
  515. N = 30, n = 20000000, r = 0, d = 4, t = 21,
  516. Sparse = TRUE
  517.  
  518. GenerCell = smultin_GenerCellSerial
  519. Number of cells = d^t = 4398046511104
  520. Expected number per cell = 1 / 219902.33
  521. EColl = n^2 / (2k) = 45.47473509
  522. Hashing = TRUE
  523.  
  524. Collision test
  525.  
  526. CollisionOver: density = n / k = 1 / 219902.33
  527. Expected number of collisions = Mu = 45.47
  528.  
  529.  
  530. -----------------------------------------------
  531. Results of CollisionOver test:
  532.  
  533. POISSON approximation :
  534. Expected number of collisions = N*Mu : 1364.24
  535. Observed number of collisions : 1338
  536. p-value of test : 0.76
  537.  
  538. -----------------------------
  539. Total number of cells containing j balls
  540.  
  541. j = 0 : 131940795334458
  542. j = 1 : 599997324
  543. j = 2 : 1338
  544. j = 3 : 0
  545. j = 4 : 0
  546. j = 5 : 0
  547.  
  548. -----------------------------------------------
  549. CPU time used : 00:05:01.87
  550.  
  551. Generator state:
  552.  
  553.  
  554.  
  555.  
  556. ***********************************************************
  557. Test smarsa_CollisionOver calling smultin_MultinomialOver
  558.  
  559. ***********************************************************
  560. HOST =
  561.  
  562. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  563.  
  564.  
  565. smultin_MultinomialOver test:
  566. -----------------------------------------------
  567. N = 30, n = 20000000, r = 28, d = 4, t = 21,
  568. Sparse = TRUE
  569.  
  570. GenerCell = smultin_GenerCellSerial
  571. Number of cells = d^t = 4398046511104
  572. Expected number per cell = 1 / 219902.33
  573. EColl = n^2 / (2k) = 45.47473509
  574. Hashing = TRUE
  575.  
  576. Collision test
  577.  
  578. CollisionOver: density = n / k = 1 / 219902.33
  579. Expected number of collisions = Mu = 45.47
  580.  
  581.  
  582. -----------------------------------------------
  583. Results of CollisionOver test:
  584.  
  585. POISSON approximation :
  586. Expected number of collisions = N*Mu : 1364.24
  587. Observed number of collisions : 1386
  588. p-value of test : 0.28
  589.  
  590. -----------------------------
  591. Total number of cells containing j balls
  592.  
  593. j = 0 : 131940795334506
  594. j = 1 : 599997228
  595. j = 2 : 1386
  596. j = 3 : 0
  597. j = 4 : 0
  598. j = 5 : 0
  599.  
  600. -----------------------------------------------
  601. CPU time used : 00:05:05.40
  602.  
  603. Generator state:
  604.  
  605.  
  606.  
  607.  
  608. ***********************************************************
  609. HOST =
  610.  
  611. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  612.  
  613.  
  614. smarsa_BirthdaySpacings test:
  615. -----------------------------------------------
  616. N = 250, n = 4000000, r = 0, d = 1073741824, t = 2, p = 1
  617.  
  618.  
  619. Number of cells = d^t = 1152921504606846976
  620. Lambda = Poisson mean = 13.8778
  621.  
  622.  
  623. ----------------------------------------------------
  624. Total expected number = N*Lambda : 3469.45
  625. Total observed number : 3442
  626. p-value of test : 0.68
  627.  
  628.  
  629. -----------------------------------------------
  630. CPU time used : 00:05:25.31
  631.  
  632. Generator state:
  633.  
  634.  
  635.  
  636.  
  637. ***********************************************************
  638. HOST =
  639.  
  640. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  641.  
  642.  
  643. smarsa_BirthdaySpacings test:
  644. -----------------------------------------------
  645. N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1
  646.  
  647.  
  648. Number of cells = d^t = 9223372036854775808
  649. Lambda = Poisson mean = 216.8404
  650.  
  651.  
  652. ----------------------------------------------------
  653. Total expected number = N*Lambda : 4336.81
  654. Total observed number : 4319
  655. p-value of test : 0.60
  656.  
  657.  
  658. -----------------------------------------------
  659. CPU time used : 00:02:31.20
  660.  
  661. Generator state:
  662.  
  663.  
  664.  
  665.  
  666. ***********************************************************
  667. HOST =
  668.  
  669. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  670.  
  671.  
  672. smarsa_BirthdaySpacings test:
  673. -----------------------------------------------
  674. N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1
  675.  
  676.  
  677. Number of cells = d^t = 18446744073709551616
  678. Lambda = Poisson mean = 365.9182
  679.  
  680.  
  681. ----------------------------------------------------
  682. Total expected number = N*Lambda : 7318.36
  683. Total observed number : 7382
  684. p-value of test : 0.23
  685.  
  686.  
  687. -----------------------------------------------
  688. CPU time used : 00:04:14.75
  689.  
  690. Generator state:
  691.  
  692.  
  693.  
  694.  
  695. ***********************************************************
  696. HOST =
  697.  
  698. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  699.  
  700.  
  701. smarsa_BirthdaySpacings test:
  702. -----------------------------------------------
  703. N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1
  704.  
  705.  
  706. Number of cells = d^t = 9223372036854775808
  707. Lambda = Poisson mean = 216.8404
  708.  
  709.  
  710. ----------------------------------------------------
  711. Total expected number = N*Lambda : 4336.81
  712. Total observed number : 4367
  713. p-value of test : 0.33
  714.  
  715.  
  716. -----------------------------------------------
  717. CPU time used : 00:03:16.51
  718.  
  719. Generator state:
  720.  
  721.  
  722.  
  723.  
  724. ***********************************************************
  725. HOST =
  726.  
  727. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  728.  
  729.  
  730. smarsa_BirthdaySpacings test:
  731. -----------------------------------------------
  732. N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1
  733.  
  734.  
  735. Number of cells = d^t = 9223372036854775808
  736. Lambda = Poisson mean = 216.8404
  737.  
  738.  
  739. ----------------------------------------------------
  740. Total expected number = N*Lambda : 4336.81
  741. Total observed number : 4342
  742. p-value of test : 0.47
  743.  
  744.  
  745. -----------------------------------------------
  746. CPU time used : 00:03:24.17
  747.  
  748. Generator state:
  749.  
  750.  
  751.  
  752.  
  753. ***********************************************************
  754. HOST =
  755.  
  756. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  757.  
  758.  
  759. smarsa_BirthdaySpacings test:
  760. -----------------------------------------------
  761. N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1
  762.  
  763.  
  764. Number of cells = d^t = 18446744073709551616
  765. Lambda = Poisson mean = 365.9182
  766.  
  767.  
  768. ----------------------------------------------------
  769. Total expected number = N*Lambda : 7318.36
  770. Total observed number : 7338
  771. p-value of test : 0.41
  772.  
  773.  
  774. -----------------------------------------------
  775. CPU time used : 00:05:25.70
  776.  
  777. Generator state:
  778.  
  779.  
  780.  
  781.  
  782. ***********************************************************
  783. HOST =
  784.  
  785. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  786.  
  787.  
  788. smarsa_BirthdaySpacings test:
  789. -----------------------------------------------
  790. N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1
  791.  
  792.  
  793. Number of cells = d^t = 18446744073709551616
  794. Lambda = Poisson mean = 365.9182
  795.  
  796.  
  797. ----------------------------------------------------
  798. Total expected number = N*Lambda : 7318.36
  799. Total observed number : 7479
  800. p-value of test : 0.03
  801.  
  802.  
  803. -----------------------------------------------
  804. CPU time used : 00:05:29.64
  805.  
  806. Generator state:
  807.  
  808.  
  809.  
  810.  
  811. ***********************************************************
  812. HOST =
  813.  
  814. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  815.  
  816.  
  817. smarsa_BirthdaySpacings test:
  818. -----------------------------------------------
  819. N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1
  820.  
  821.  
  822. Number of cells = d^t = 18446744073709551616
  823. Lambda = Poisson mean = 365.9182
  824.  
  825.  
  826. ----------------------------------------------------
  827. Total expected number = N*Lambda : 7318.36
  828. Total observed number : 7181
  829. p-value of test : 0.95
  830.  
  831.  
  832. -----------------------------------------------
  833. CPU time used : 00:07:29.32
  834.  
  835. Generator state:
  836.  
  837.  
  838.  
  839.  
  840. ***********************************************************
  841. HOST =
  842.  
  843. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  844.  
  845.  
  846. smarsa_BirthdaySpacings test:
  847. -----------------------------------------------
  848. N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1
  849.  
  850.  
  851. Number of cells = d^t = 18446744073709551616
  852. Lambda = Poisson mean = 365.9182
  853.  
  854.  
  855. ----------------------------------------------------
  856. Total expected number = N*Lambda : 7318.36
  857. Total observed number : 7192
  858. p-value of test : 0.93
  859.  
  860.  
  861. -----------------------------------------------
  862. CPU time used : 00:08:02.87
  863.  
  864. Generator state:
  865.  
  866.  
  867.  
  868.  
  869. ***********************************************************
  870. HOST =
  871.  
  872. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  873.  
  874.  
  875. snpair_ClosePairs test:
  876. -----------------------------------------------
  877. N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE
  878.  
  879.  
  880. ---------------------------------------
  881. Test based on the 2 nearest points (NP):
  882.  
  883. Stat. AD on the N values (NP) : 0.99
  884. p-value of test : 0.36
  885.  
  886.  
  887. A2 test based on the spacings between the
  888. successive jump times of process Y_n(t):
  889.  
  890. A2 test on the values of A2 (m-NP) : 1.01
  891. p-value of test : 0.35
  892.  
  893. Test on the Nm values of W_{n,i}(mNP1): 0.66
  894. p-value of test : 0.59
  895.  
  896. Test on the jump times of Y
  897. (superposition of Yn):
  898.  
  899. Expected number of jumps of Y = mN : 900
  900. Number of jumps of Y : 882
  901. p-value of test : 0.72
  902.  
  903. Stat. AD (mNP2) : 0.38
  904. p-value of test : 0.87
  905.  
  906. Stat. AD after spacings (mNP2-S) : 1.52
  907. p-value of test : 0.17
  908.  
  909. -----------------------------------------------
  910. CPU time used : 00:02:46.26
  911.  
  912. Generator state:
  913.  
  914.  
  915.  
  916.  
  917. ***********************************************************
  918. HOST =
  919.  
  920. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  921.  
  922.  
  923. snpair_ClosePairs test:
  924. -----------------------------------------------
  925. N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE
  926.  
  927.  
  928. ---------------------------------------
  929. Test based on the 2 nearest points (NP):
  930.  
  931. Stat. AD on the N values (NP) : 0.72
  932. p-value of test : 0.54
  933.  
  934.  
  935. A2 test based on the spacings between the
  936. successive jump times of process Y_n(t):
  937.  
  938. A2 test on the values of A2 (m-NP) : 0.30
  939. p-value of test : 0.93
  940.  
  941. Test on the Nm values of W_{n,i}(mNP1): 0.37
  942. p-value of test : 0.88
  943.  
  944. Test on the jump times of Y
  945. (superposition of Yn):
  946.  
  947. Expected number of jumps of Y = mN : 600
  948. Number of jumps of Y : 576
  949. p-value of test : 0.83
  950.  
  951. Stat. AD (mNP2) : 0.40
  952. p-value of test : 0.85
  953.  
  954. Stat. AD after spacings (mNP2-S) : 0.69
  955. p-value of test : 0.56
  956.  
  957. -----------------------------------------------
  958. CPU time used : 00:01:56.48
  959.  
  960. Generator state:
  961.  
  962.  
  963.  
  964.  
  965. ***********************************************************
  966. HOST =
  967.  
  968. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  969.  
  970.  
  971. snpair_ClosePairs test:
  972. -----------------------------------------------
  973. N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE
  974.  
  975.  
  976. ---------------------------------------
  977. Test based on the 2 nearest points (NP):
  978.  
  979. Stat. AD on the N values (NP) : 0.92
  980. p-value of test : 0.40
  981.  
  982.  
  983. A2 test based on the spacings between the
  984. successive jump times of process Y_n(t):
  985.  
  986. A2 test on the values of A2 (m-NP) : 0.89
  987. p-value of test : 0.42
  988.  
  989. Test on the Nm values of W_{n,i}(mNP1): 0.26
  990. p-value of test : 0.97
  991.  
  992. Test on the jump times of Y
  993. (superposition of Yn):
  994.  
  995. Expected number of jumps of Y = mN : 300
  996. Number of jumps of Y : 311
  997. p-value of test : 0.27
  998.  
  999. Stat. AD (mNP2) : 0.46
  1000. p-value of test : 0.78
  1001.  
  1002. Stat. AD after spacings (mNP2-S) : 0.80
  1003. p-value of test : 0.48
  1004.  
  1005. -----------------------------------------------
  1006. CPU time used : 00:03:16.06
  1007.  
  1008. Generator state:
  1009.  
  1010.  
  1011.  
  1012.  
  1013. ***********************************************************
  1014. HOST =
  1015.  
  1016. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1017.  
  1018.  
  1019. snpair_ClosePairs test:
  1020. -----------------------------------------------
  1021. N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE
  1022.  
  1023.  
  1024. ---------------------------------------
  1025. Test based on the 2 nearest points (NP):
  1026.  
  1027. Stat. AD on the N values (NP) : 0.41
  1028. p-value of test : 0.83
  1029.  
  1030.  
  1031. A2 test based on the spacings between the
  1032. successive jump times of process Y_n(t):
  1033.  
  1034. A2 test on the values of A2 (m-NP) : 0.55
  1035. p-value of test : 0.68
  1036.  
  1037. Test on the Nm values of W_{n,i}(mNP1): 1.18
  1038. p-value of test : 0.28
  1039.  
  1040. Test on the jump times of Y
  1041. (superposition of Yn):
  1042.  
  1043. Expected number of jumps of Y = mN : 150
  1044. Number of jumps of Y : 140
  1045. p-value of test : 0.78
  1046.  
  1047. Stat. AD (mNP2) : 0.47
  1048. p-value of test : 0.78
  1049.  
  1050. Stat. AD after spacings (mNP2-S) : 0.53
  1051. p-value of test : 0.72
  1052.  
  1053. -----------------------------------------------
  1054. CPU time used : 00:03:47.53
  1055.  
  1056. Generator state:
  1057.  
  1058.  
  1059.  
  1060.  
  1061. ***********************************************************
  1062. HOST =
  1063.  
  1064. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1065.  
  1066.  
  1067. sknuth_SimpPoker test:
  1068. -----------------------------------------------
  1069. N = 1, n = 400000000, r = 0, d = 8, k = 8
  1070.  
  1071.  
  1072. -----------------------------------------------
  1073. Number of degrees of freedom : 7
  1074. Chi-square statistic : 5.49
  1075. p-value of test : 0.60
  1076.  
  1077. -----------------------------------------------
  1078. CPU time used : 00:02:03.65
  1079.  
  1080. Generator state:
  1081.  
  1082.  
  1083.  
  1084.  
  1085. ***********************************************************
  1086. HOST =
  1087.  
  1088. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1089.  
  1090.  
  1091. sknuth_SimpPoker test:
  1092. -----------------------------------------------
  1093. N = 1, n = 400000000, r = 27, d = 8, k = 8
  1094.  
  1095.  
  1096. -----------------------------------------------
  1097. Number of degrees of freedom : 7
  1098. Chi-square statistic : 6.72
  1099. p-value of test : 0.46
  1100.  
  1101. -----------------------------------------------
  1102. CPU time used : 00:02:25.10
  1103.  
  1104. Generator state:
  1105.  
  1106.  
  1107.  
  1108.  
  1109. ***********************************************************
  1110. HOST =
  1111.  
  1112. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1113.  
  1114.  
  1115. sknuth_SimpPoker test:
  1116. -----------------------------------------------
  1117. N = 1, n = 100000000, r = 0, d = 32, k = 32
  1118.  
  1119.  
  1120. -----------------------------------------------
  1121. Number of degrees of freedom : 18
  1122. Chi-square statistic : 12.16
  1123. p-value of test : 0.84
  1124.  
  1125. -----------------------------------------------
  1126. CPU time used : 00:02:11.23
  1127.  
  1128. Generator state:
  1129.  
  1130.  
  1131.  
  1132.  
  1133. ***********************************************************
  1134. HOST =
  1135.  
  1136. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1137.  
  1138.  
  1139. sknuth_SimpPoker test:
  1140. -----------------------------------------------
  1141. N = 1, n = 100000000, r = 25, d = 32, k = 32
  1142.  
  1143.  
  1144. -----------------------------------------------
  1145. Number of degrees of freedom : 18
  1146. Chi-square statistic : 13.46
  1147. p-value of test : 0.76
  1148.  
  1149. -----------------------------------------------
  1150. CPU time used : 00:02:22.59
  1151.  
  1152. Generator state:
  1153.  
  1154.  
  1155.  
  1156.  
  1157. ***********************************************************
  1158. HOST =
  1159.  
  1160. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1161.  
  1162.  
  1163. sknuth_CouponCollector test:
  1164. -----------------------------------------------
  1165. N = 1, n = 200000000, r = 0, d = 8
  1166.  
  1167.  
  1168. -----------------------------------------------
  1169. Number of degrees of freedom : 54
  1170. Chi-square statistic : 58.10
  1171. p-value of test : 0.33
  1172.  
  1173. -----------------------------------------------
  1174. CPU time used : 00:02:49.57
  1175.  
  1176. Generator state:
  1177.  
  1178.  
  1179.  
  1180.  
  1181. ***********************************************************
  1182. HOST =
  1183.  
  1184. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1185.  
  1186.  
  1187. sknuth_CouponCollector test:
  1188. -----------------------------------------------
  1189. N = 1, n = 200000000, r = 10, d = 8
  1190.  
  1191.  
  1192. -----------------------------------------------
  1193. Number of degrees of freedom : 54
  1194. Chi-square statistic : 57.02
  1195. p-value of test : 0.36
  1196.  
  1197. -----------------------------------------------
  1198. CPU time used : 00:03:03.00
  1199.  
  1200. Generator state:
  1201.  
  1202.  
  1203.  
  1204.  
  1205. ***********************************************************
  1206. HOST =
  1207.  
  1208. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1209.  
  1210.  
  1211. sknuth_CouponCollector test:
  1212. -----------------------------------------------
  1213. N = 1, n = 200000000, r = 20, d = 8
  1214.  
  1215.  
  1216. -----------------------------------------------
  1217. Number of degrees of freedom : 54
  1218. Chi-square statistic : 60.40
  1219. p-value of test : 0.26
  1220.  
  1221. -----------------------------------------------
  1222. CPU time used : 00:03:02.23
  1223.  
  1224. Generator state:
  1225.  
  1226.  
  1227.  
  1228.  
  1229. ***********************************************************
  1230. HOST =
  1231.  
  1232. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1233.  
  1234.  
  1235. sknuth_CouponCollector test:
  1236. -----------------------------------------------
  1237. N = 1, n = 200000000, r = 27, d = 8
  1238.  
  1239.  
  1240. -----------------------------------------------
  1241. Number of degrees of freedom : 54
  1242. Chi-square statistic : 40.72
  1243. p-value of test : 0.91
  1244.  
  1245. -----------------------------------------------
  1246. CPU time used : 00:03:08.01
  1247.  
  1248. Generator state:
  1249.  
  1250.  
  1251.  
  1252.  
  1253. ***********************************************************
  1254. HOST =
  1255.  
  1256. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1257.  
  1258.  
  1259. sknuth_Gap test:
  1260. -----------------------------------------------
  1261. N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625
  1262.  
  1263.  
  1264. -----------------------------------------------
  1265. Number of degrees of freedom : 232
  1266. Chi-square statistic : 229.00
  1267. p-value of test : 0.54
  1268.  
  1269. -----------------------------------------------
  1270. CPU time used : 00:04:00.93
  1271.  
  1272. Generator state:
  1273.  
  1274.  
  1275.  
  1276.  
  1277. ***********************************************************
  1278. HOST =
  1279.  
  1280. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1281.  
  1282.  
  1283. sknuth_Gap test:
  1284. -----------------------------------------------
  1285. N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
  1286.  
  1287.  
  1288. -----------------------------------------------
  1289. Number of degrees of freedom : 434
  1290. Chi-square statistic : 418.12
  1291. p-value of test : 0.70
  1292.  
  1293. -----------------------------------------------
  1294. CPU time used : 00:05:11.45
  1295.  
  1296. Generator state:
  1297.  
  1298.  
  1299.  
  1300.  
  1301. ***********************************************************
  1302. HOST =
  1303.  
  1304. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1305.  
  1306.  
  1307. sknuth_Gap test:
  1308. -----------------------------------------------
  1309. N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125
  1310.  
  1311.  
  1312. -----------------------------------------------
  1313. Number of degrees of freedom : 1437
  1314. Chi-square statistic : 1432.60
  1315. p-value of test : 0.53
  1316.  
  1317. -----------------------------------------------
  1318. CPU time used : 00:06:04.34
  1319.  
  1320. Generator state:
  1321.  
  1322.  
  1323.  
  1324.  
  1325. ***********************************************************
  1326. HOST =
  1327.  
  1328. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1329.  
  1330.  
  1331. sknuth_Gap test:
  1332. -----------------------------------------------
  1333. N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976563
  1334.  
  1335.  
  1336. -----------------------------------------------
  1337. Number of degrees of freedom : 7046
  1338. Chi-square statistic : 7095.50
  1339. p-value of test : 0.34
  1340.  
  1341. -----------------------------------------------
  1342. CPU time used : 00:05:19.18
  1343.  
  1344. Generator state:
  1345.  
  1346.  
  1347.  
  1348.  
  1349. ***********************************************************
  1350. HOST =
  1351.  
  1352. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1353.  
  1354.  
  1355. sknuth_Run test:
  1356. -----------------------------------------------
  1357. N = 5, n = 1000000000, r = 0, Up = FALSE
  1358.  
  1359.  
  1360. -----------------------------------------------
  1361.  
  1362. Kolmogorov-Smirnov+ statistic = D+ : 0.12
  1363. p-value of test : 0.81
  1364.  
  1365. Kolmogorov-Smirnov- statistic = D- : 0.29
  1366. p-value of test : 0.38
  1367.  
  1368. Anderson-Darling statistic = A2 : 0.35
  1369. p-value of test : 0.89
  1370.  
  1371. Test on the sum of all N observations
  1372. Number of degrees of freedom : 30
  1373. Chi-square statistic : 31.28
  1374. p-value of test : 0.40
  1375.  
  1376. -----------------------------------------------
  1377. CPU time used : 00:02:48.32
  1378.  
  1379. Generator state:
  1380.  
  1381.  
  1382.  
  1383.  
  1384. ***********************************************************
  1385. HOST =
  1386.  
  1387. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1388.  
  1389.  
  1390. sknuth_Run test:
  1391. -----------------------------------------------
  1392. N = 10, n = 1000000000, r = 15, Up = TRUE
  1393.  
  1394.  
  1395. -----------------------------------------------
  1396.  
  1397. Kolmogorov-Smirnov+ statistic = D+ : 0.39
  1398. p-value of test : 0.04
  1399.  
  1400. Kolmogorov-Smirnov- statistic = D- : 0.12
  1401. p-value of test : 0.69
  1402.  
  1403. Anderson-Darling statistic = A2 : 1.16
  1404. p-value of test : 0.28
  1405.  
  1406. Test on the sum of all N observations
  1407. Number of degrees of freedom : 60
  1408. Chi-square statistic : 47.40
  1409. p-value of test : 0.88
  1410.  
  1411. -----------------------------------------------
  1412. CPU time used : 00:06:23.21
  1413.  
  1414. Generator state:
  1415.  
  1416.  
  1417.  
  1418.  
  1419. ***********************************************************
  1420. Test sknuth_Permutation calling smultin_Multinomial
  1421.  
  1422. ***********************************************************
  1423. HOST =
  1424.  
  1425. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1426.  
  1427.  
  1428. smultin_Multinomial test:
  1429. -----------------------------------------------
  1430. N = 1, n = 1000000000, r = 5, t = 3,
  1431. Sparse = FALSE
  1432.  
  1433. GenerCell = smultin_GenerCellPermut
  1434. Number of cells = t! = 6
  1435. Expected number per cell = 1.6666667e+008
  1436. Hashing = FALSE
  1437.  
  1438. For Delta > -1, we use the ChiSquare approximation
  1439. Correction factor of the ChiSquare:
  1440. Delta = 1, Mu = 2.5000002e-009, Sigma = 1
  1441.  
  1442. -----------------------------------------------
  1443. Test Results for Delta = 1.0000
  1444.  
  1445. Number of degrees of freedom : 5
  1446. Value of the statistic : 12.76
  1447. p-value of test : 0.03
  1448.  
  1449.  
  1450. -----------------------------------------------
  1451. CPU time used : 00:01:49.20
  1452.  
  1453. Generator state:
  1454.  
  1455.  
  1456.  
  1457.  
  1458. ***********************************************************
  1459. Test sknuth_Permutation calling smultin_Multinomial
  1460.  
  1461. ***********************************************************
  1462. HOST =
  1463.  
  1464. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1465.  
  1466.  
  1467. smultin_Multinomial test:
  1468. -----------------------------------------------
  1469. N = 1, n = 1000000000, r = 5, t = 5,
  1470. Sparse = FALSE
  1471.  
  1472. GenerCell = smultin_GenerCellPermut
  1473. Number of cells = t! = 120
  1474. Expected number per cell = 8333333.3
  1475. Hashing = FALSE
  1476.  
  1477. For Delta > -1, we use the ChiSquare approximation
  1478. Correction factor of the ChiSquare:
  1479. Delta = 1, Mu = 5.9500005e-008, Sigma = 1
  1480.  
  1481. -----------------------------------------------
  1482. Test Results for Delta = 1.0000
  1483.  
  1484. Number of degrees of freedom : 119
  1485. Value of the statistic : 113.15
  1486. p-value of test : 0.63
  1487.  
  1488.  
  1489. -----------------------------------------------
  1490. CPU time used : 00:03:14.10
  1491.  
  1492. Generator state:
  1493.  
  1494.  
  1495.  
  1496.  
  1497. ***********************************************************
  1498. Test sknuth_Permutation calling smultin_Multinomial
  1499.  
  1500. ***********************************************************
  1501. HOST =
  1502.  
  1503. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1504.  
  1505.  
  1506. smultin_Multinomial test:
  1507. -----------------------------------------------
  1508. N = 1, n = 500000000, r = 5, t = 7,
  1509. Sparse = FALSE
  1510.  
  1511. GenerCell = smultin_GenerCellPermut
  1512. Number of cells = t! = 5040
  1513. Expected number per cell = 99206.349
  1514. Hashing = FALSE
  1515.  
  1516. For Delta > -1, we use the ChiSquare approximation
  1517. Correction factor of the ChiSquare:
  1518. Delta = 1, Mu = 5.0390004e-006, Sigma = 1
  1519.  
  1520. -----------------------------------------------
  1521. Test Results for Delta = 1.0000
  1522.  
  1523. Number of degrees of freedom : 5039
  1524. Value of the statistic : 5136.12
  1525. p-value of test : 0.17
  1526.  
  1527.  
  1528. -----------------------------------------------
  1529. CPU time used : 00:02:22.39
  1530.  
  1531. Generator state:
  1532.  
  1533.  
  1534.  
  1535.  
  1536. ***********************************************************
  1537. Test sknuth_Permutation calling smultin_Multinomial
  1538.  
  1539. ***********************************************************
  1540. HOST =
  1541.  
  1542. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1543.  
  1544.  
  1545. smultin_Multinomial test:
  1546. -----------------------------------------------
  1547. N = 1, n = 500000000, r = 10, t = 10,
  1548. Sparse = FALSE
  1549.  
  1550. GenerCell = smultin_GenerCellPermut
  1551. Number of cells = t! = 3628800
  1552. Expected number per cell = 137.7866
  1553. Hashing = FALSE
  1554.  
  1555. For Delta > -1, we use the ChiSquare approximation
  1556. Correction factor of the ChiSquare:
  1557. Delta = 1, Mu = 0.0036287993, Sigma = 1
  1558.  
  1559. -----------------------------------------------
  1560. Test Results for Delta = 1.0000
  1561.  
  1562. Number of degrees of freedom : 3628799
  1563. Value of the statistic : 3.63e+06
  1564. p-value of test : 0.66
  1565.  
  1566.  
  1567. -----------------------------------------------
  1568. CPU time used : 00:04:41.04
  1569.  
  1570. Generator state:
  1571.  
  1572.  
  1573.  
  1574.  
  1575. ***********************************************************
  1576. Test sknuth_CollisionPermut calling smultin_Multinomial
  1577.  
  1578. ***********************************************************
  1579. HOST =
  1580.  
  1581. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1582.  
  1583.  
  1584. smultin_Multinomial test:
  1585. -----------------------------------------------
  1586. N = 20, n = 20000000, r = 0, t = 14,
  1587. Sparse = TRUE
  1588.  
  1589. GenerCell = smultin_GenerCellPermut
  1590. Number of cells = t! = 87178291200
  1591. Expected number per cell = 1 / 4358.9146
  1592. EColl = n^2 / (2k) = 2294.14912
  1593. Hashing = TRUE
  1594.  
  1595. Collision test, Mu = 2293.9736, Sigma = 47.8841
  1596.  
  1597. -----------------------------------------------
  1598. Test Results for Collisions
  1599.  
  1600. For the total number of collisions, we use
  1601. the Poisson approximation:
  1602. Expected number of collisions = N*Mu : 45879.47
  1603. Observed number of collisions : 45609
  1604. p-value of test : 0.90
  1605.  
  1606.  
  1607. -----------------------------
  1608. Total number of cells containing j balls
  1609.  
  1610. j = 0 : 1743165869609
  1611. j = 1 : 399908784
  1612. j = 2 : 45605
  1613. j = 3 : 2
  1614. j = 4 : 0
  1615. j = 5 : 0
  1616.  
  1617. -----------------------------------------------
  1618. CPU time used : 00:06:14.34
  1619.  
  1620. Generator state:
  1621.  
  1622.  
  1623.  
  1624.  
  1625. ***********************************************************
  1626. Test sknuth_CollisionPermut calling smultin_Multinomial
  1627.  
  1628. ***********************************************************
  1629. HOST =
  1630.  
  1631. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1632.  
  1633.  
  1634. smultin_Multinomial test:
  1635. -----------------------------------------------
  1636. N = 20, n = 20000000, r = 10, t = 14,
  1637. Sparse = TRUE
  1638.  
  1639. GenerCell = smultin_GenerCellPermut
  1640. Number of cells = t! = 87178291200
  1641. Expected number per cell = 1 / 4358.9146
  1642. EColl = n^2 / (2k) = 2294.14912
  1643. Hashing = TRUE
  1644.  
  1645. Collision test, Mu = 2293.9736, Sigma = 47.8841
  1646.  
  1647. -----------------------------------------------
  1648. Test Results for Collisions
  1649.  
  1650. For the total number of collisions, we use
  1651. the Poisson approximation:
  1652. Expected number of collisions = N*Mu : 45879.47
  1653. Observed number of collisions : 45551
  1654. p-value of test : 0.94
  1655.  
  1656.  
  1657. -----------------------------
  1658. Total number of cells containing j balls
  1659.  
  1660. j = 0 : 1743165869551
  1661. j = 1 : 399908902
  1662. j = 2 : 45543
  1663. j = 3 : 4
  1664. j = 4 : 0
  1665. j = 5 : 0
  1666.  
  1667. -----------------------------------------------
  1668. CPU time used : 00:06:15.85
  1669.  
  1670. Generator state:
  1671.  
  1672.  
  1673.  
  1674.  
  1675. ***********************************************************
  1676. HOST =
  1677.  
  1678. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1679.  
  1680.  
  1681. sknuth_MaxOft test:
  1682. -----------------------------------------------
  1683. N = 40, n = 10000000, r = 0, d = 100000, t = 8
  1684.  
  1685. Number of categories = 100000
  1686. Expected number per category = 100.00
  1687.  
  1688.  
  1689. -----------------------------------------------
  1690. Test results for chi2 with 99999 degrees of freedom:
  1691.  
  1692. Kolmogorov-Smirnov+ statistic = D+ : 0.071
  1693. p-value of test : 0.64
  1694.  
  1695. Kolmogorov-Smirnov- statistic = D- : 0.068
  1696. p-value of test : 0.66
  1697.  
  1698. Anderson-Darling statistic = A2 : 0.25
  1699. p-value of test : 0.97
  1700.  
  1701. Test on the sum of all N observations
  1702. Number of degrees of freedom : 3999960
  1703. Chi-square statistic : 4.00e+06
  1704. p-value of test : 0.46
  1705.  
  1706.  
  1707. -----------------------------------------------
  1708. Test results for Anderson-Darling:
  1709.  
  1710. Kolmogorov-Smirnov+ statistic = D+ : 0.15
  1711. p-value of test : 0.16
  1712.  
  1713. Kolmogorov-Smirnov- statistic = D- : 0.016
  1714. p-value of test : 0.97
  1715.  
  1716. Anderson-Darling statistic = A2 : 1.32
  1717. p-value of test : 0.22
  1718.  
  1719.  
  1720. -----------------------------------------------
  1721. CPU time used : 00:03:58.98
  1722.  
  1723. Generator state:
  1724.  
  1725.  
  1726.  
  1727.  
  1728. ***********************************************************
  1729. HOST =
  1730.  
  1731. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1732.  
  1733.  
  1734. sknuth_MaxOft test:
  1735. -----------------------------------------------
  1736. N = 30, n = 10000000, r = 0, d = 100000, t = 16
  1737.  
  1738. Number of categories = 100000
  1739. Expected number per category = 100.00
  1740.  
  1741.  
  1742. -----------------------------------------------
  1743. Test results for chi2 with 99999 degrees of freedom:
  1744.  
  1745. Kolmogorov-Smirnov+ statistic = D+ : 0.088
  1746. p-value of test : 0.59
  1747.  
  1748. Kolmogorov-Smirnov- statistic = D- : 0.083
  1749. p-value of test : 0.63
  1750.  
  1751. Anderson-Darling statistic = A2 : 0.25
  1752. p-value of test : 0.97
  1753.  
  1754. Test on the sum of all N observations
  1755. Number of degrees of freedom : 2999970
  1756. Chi-square statistic : 3.00e+06
  1757. p-value of test : 0.58
  1758.  
  1759.  
  1760. -----------------------------------------------
  1761. Test results for Anderson-Darling:
  1762.  
  1763. Kolmogorov-Smirnov+ statistic = D+ : 0.16
  1764. p-value of test : 0.18
  1765.  
  1766. Kolmogorov-Smirnov- statistic = D- : 0.14
  1767. p-value of test : 0.30
  1768.  
  1769. Anderson-Darling statistic = A2 : 0.80
  1770. p-value of test : 0.48
  1771.  
  1772.  
  1773. -----------------------------------------------
  1774. CPU time used : 00:04:16.12
  1775.  
  1776. Generator state:
  1777.  
  1778.  
  1779.  
  1780.  
  1781. ***********************************************************
  1782. HOST =
  1783.  
  1784. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1785.  
  1786.  
  1787. sknuth_MaxOft test:
  1788. -----------------------------------------------
  1789. N = 20, n = 10000000, r = 0, d = 100000, t = 24
  1790.  
  1791. Number of categories = 100000
  1792. Expected number per category = 100.00
  1793.  
  1794.  
  1795. -----------------------------------------------
  1796. Test results for chi2 with 99999 degrees of freedom:
  1797.  
  1798. Kolmogorov-Smirnov+ statistic = D+ : 0.068
  1799. p-value of test : 0.80
  1800.  
  1801. Kolmogorov-Smirnov- statistic = D- : 0.17
  1802. p-value of test : 0.30
  1803.  
  1804. Anderson-Darling statistic = A2 : 1.05
  1805. p-value of test : 0.33
  1806.  
  1807. Test on the sum of all N observations
  1808. Number of degrees of freedom : 1999980
  1809. Chi-square statistic : 2.00e+06
  1810. p-value of test : 0.13
  1811.  
  1812.  
  1813. -----------------------------------------------
  1814. Test results for Anderson-Darling:
  1815.  
  1816. Kolmogorov-Smirnov+ statistic = D+ : 0.37
  1817. p-value of test : 3.4e-03
  1818.  
  1819. Kolmogorov-Smirnov- statistic = D- : 6.76e-04
  1820. p-value of test : 0.9993 *****
  1821.  
  1822. Anderson-Darling statistic = A2 : 3.58
  1823. p-value of test : 0.01
  1824.  
  1825.  
  1826. -----------------------------------------------
  1827. CPU time used : 00:03:44.92
  1828.  
  1829. Generator state:
  1830.  
  1831.  
  1832.  
  1833.  
  1834. ***********************************************************
  1835. HOST =
  1836.  
  1837. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1838.  
  1839.  
  1840. sknuth_MaxOft test:
  1841. -----------------------------------------------
  1842. N = 20, n = 10000000, r = 0, d = 100000, t = 32
  1843.  
  1844. Number of categories = 100000
  1845. Expected number per category = 100.00
  1846.  
  1847.  
  1848. -----------------------------------------------
  1849. Test results for chi2 with 99999 degrees of freedom:
  1850.  
  1851. Kolmogorov-Smirnov+ statistic = D+ : 0.15
  1852. p-value of test : 0.37
  1853.  
  1854. Kolmogorov-Smirnov- statistic = D- : 0.042
  1855. p-value of test : 0.91
  1856.  
  1857. Anderson-Darling statistic = A2 : 0.29
  1858. p-value of test : 0.94
  1859.  
  1860. Test on the sum of all N observations
  1861. Number of degrees of freedom : 1999980
  1862. Chi-square statistic : 2.00e+06
  1863. p-value of test : 0.70
  1864.  
  1865.  
  1866. -----------------------------------------------
  1867. Test results for Anderson-Darling:
  1868.  
  1869. Kolmogorov-Smirnov+ statistic = D+ : 0.066
  1870. p-value of test : 0.80
  1871.  
  1872. Kolmogorov-Smirnov- statistic = D- : 0.20
  1873. p-value of test : 0.18
  1874.  
  1875. Anderson-Darling statistic = A2 : 0.70
  1876. p-value of test : 0.56
  1877.  
  1878.  
  1879. -----------------------------------------------
  1880. CPU time used : 00:04:34.20
  1881.  
  1882. Generator state:
  1883.  
  1884.  
  1885.  
  1886.  
  1887. ***********************************************************
  1888. HOST =
  1889.  
  1890. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1891.  
  1892.  
  1893. svaria_SampleProd test:
  1894. -----------------------------------------------
  1895. N = 40, n = 10000000, r = 0, t = 8
  1896.  
  1897.  
  1898. -----------------------------------------------
  1899.  
  1900. Kolmogorov-Smirnov+ statistic = D+ : 0.11
  1901. p-value of test : 0.35
  1902.  
  1903. Kolmogorov-Smirnov- statistic = D- : 0.091
  1904. p-value of test : 0.49
  1905.  
  1906. Anderson-Darling statistic = A2 : 1.09
  1907. p-value of test : 0.31
  1908.  
  1909. -----------------------------------------------
  1910. CPU time used : 00:03:40.39
  1911.  
  1912. Generator state:
  1913.  
  1914.  
  1915.  
  1916.  
  1917. ***********************************************************
  1918. HOST =
  1919.  
  1920. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1921.  
  1922.  
  1923. svaria_SampleProd test:
  1924. -----------------------------------------------
  1925. N = 20, n = 10000000, r = 0, t = 16
  1926.  
  1927.  
  1928. -----------------------------------------------
  1929.  
  1930. Kolmogorov-Smirnov+ statistic = D+ : 0.23
  1931. p-value of test : 0.09
  1932.  
  1933. Kolmogorov-Smirnov- statistic = D- : 0.044
  1934. p-value of test : 0.90
  1935.  
  1936. Anderson-Darling statistic = A2 : 1.06
  1937. p-value of test : 0.33
  1938.  
  1939. -----------------------------------------------
  1940. CPU time used : 00:02:43.60
  1941.  
  1942. Generator state:
  1943.  
  1944.  
  1945.  
  1946.  
  1947. ***********************************************************
  1948. HOST =
  1949.  
  1950. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1951.  
  1952.  
  1953. svaria_SampleProd test:
  1954. -----------------------------------------------
  1955. N = 20, n = 10000000, r = 0, t = 24
  1956.  
  1957.  
  1958. -----------------------------------------------
  1959.  
  1960. Kolmogorov-Smirnov+ statistic = D+ : 0.28
  1961. p-value of test : 0.04
  1962.  
  1963. Kolmogorov-Smirnov- statistic = D- : 0.030
  1964. p-value of test : 0.95
  1965.  
  1966. Anderson-Darling statistic = A2 : 1.81
  1967. p-value of test : 0.12
  1968.  
  1969. -----------------------------------------------
  1970. CPU time used : 00:03:34.18
  1971.  
  1972. Generator state:
  1973.  
  1974.  
  1975.  
  1976.  
  1977. ***********************************************************
  1978. HOST =
  1979.  
  1980. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  1981.  
  1982.  
  1983. svaria_SampleMean test:
  1984. -----------------------------------------------
  1985. N = 20000000, n = 30, r = 0
  1986.  
  1987.  
  1988. -----------------------------------------------
  1989.  
  1990. Kolmogorov-Smirnov+ statistic = D+ : 6.73e-05
  1991. p-value of test : 0.83
  1992.  
  1993. Kolmogorov-Smirnov- statistic = D- : 1.97e-04
  1994. p-value of test : 0.21
  1995.  
  1996. Anderson-Darling statistic = A2 : 0.74
  1997. p-value of test : 0.53
  1998.  
  1999. -----------------------------------------------
  2000. CPU time used : 00:00:35.53
  2001.  
  2002. Generator state:
  2003.  
  2004.  
  2005.  
  2006.  
  2007. ***********************************************************
  2008. HOST =
  2009.  
  2010. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2011.  
  2012.  
  2013. svaria_SampleMean test:
  2014. -----------------------------------------------
  2015. N = 20000000, n = 30, r = 10
  2016.  
  2017.  
  2018. -----------------------------------------------
  2019.  
  2020. Kolmogorov-Smirnov+ statistic = D+ : 2.62e-04
  2021. p-value of test : 0.06
  2022.  
  2023. Kolmogorov-Smirnov- statistic = D- : 6.33e-05
  2024. p-value of test : 0.85
  2025.  
  2026. Anderson-Darling statistic = A2 : 1.70
  2027. p-value of test : 0.14
  2028.  
  2029. -----------------------------------------------
  2030. CPU time used : 00:00:38.07
  2031.  
  2032. Generator state:
  2033.  
  2034.  
  2035.  
  2036.  
  2037. ***********************************************************
  2038. HOST =
  2039.  
  2040. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2041.  
  2042.  
  2043. svaria_SampleCorr test:
  2044. -----------------------------------------------
  2045. N = 1, n = 2000000000, r = 0, k = 1
  2046.  
  2047.  
  2048. -----------------------------------------------
  2049. Normal statistic : 0.96
  2050. p-value of test : 0.17
  2051.  
  2052. -----------------------------------------------
  2053. CPU time used : 00:01:05.64
  2054.  
  2055. Generator state:
  2056.  
  2057.  
  2058.  
  2059.  
  2060. ***********************************************************
  2061. HOST =
  2062.  
  2063. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2064.  
  2065.  
  2066. svaria_SampleCorr test:
  2067. -----------------------------------------------
  2068. N = 1, n = 2000000000, r = 0, k = 2
  2069.  
  2070.  
  2071. -----------------------------------------------
  2072. Normal statistic : 0.27
  2073. p-value of test : 0.39
  2074.  
  2075. -----------------------------------------------
  2076. CPU time used : 00:01:07.59
  2077.  
  2078. Generator state:
  2079.  
  2080.  
  2081.  
  2082.  
  2083. ***********************************************************
  2084. HOST =
  2085.  
  2086. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2087.  
  2088.  
  2089. svaria_AppearanceSpacings test:
  2090. -----------------------------------------------
  2091. N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15
  2092.  
  2093. Sequences of n = (K + Q)L = 15150000000 bits
  2094. Q = 10000000 initialization blocks
  2095. K = 1000000000 blocks for the test
  2096. the blocks have L = 15 bits
  2097.  
  2098.  
  2099.  
  2100. -----------------------------------------------
  2101. Normal statistic : 2.24
  2102. p-value of test : 0.01
  2103.  
  2104. -----------------------------------------------
  2105. CPU time used : 00:03:26.03
  2106.  
  2107. Generator state:
  2108.  
  2109.  
  2110.  
  2111.  
  2112. ***********************************************************
  2113. HOST =
  2114.  
  2115. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2116.  
  2117.  
  2118. svaria_AppearanceSpacings test:
  2119. -----------------------------------------------
  2120. N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15
  2121.  
  2122. Sequences of n = (K + Q)L = 15150000000 bits
  2123. Q = 10000000 initialization blocks
  2124. K = 1000000000 blocks for the test
  2125. the blocks have L = 15 bits
  2126.  
  2127.  
  2128.  
  2129. -----------------------------------------------
  2130. Normal statistic : -0.99
  2131. p-value of test : 0.84
  2132.  
  2133. -----------------------------------------------
  2134. CPU time used : 00:03:28.18
  2135.  
  2136. Generator state:
  2137.  
  2138.  
  2139.  
  2140.  
  2141. ***********************************************************
  2142. HOST =
  2143.  
  2144. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2145.  
  2146.  
  2147. svaria_WeightDistrib test:
  2148. -----------------------------------------------
  2149. N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25
  2150.  
  2151.  
  2152. -----------------------------------------------
  2153. Number of degrees of freedom : 67
  2154. Chi-square statistic : 62.27
  2155. p-value of test : 0.64
  2156.  
  2157. -----------------------------------------------
  2158. CPU time used : 00:02:27.53
  2159.  
  2160. Generator state:
  2161.  
  2162.  
  2163.  
  2164.  
  2165. ***********************************************************
  2166. HOST =
  2167.  
  2168. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2169.  
  2170.  
  2171. svaria_WeightDistrib test:
  2172. -----------------------------------------------
  2173. N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25
  2174.  
  2175.  
  2176. -----------------------------------------------
  2177. Number of degrees of freedom : 67
  2178. Chi-square statistic : 55.95
  2179. p-value of test : 0.83
  2180.  
  2181. -----------------------------------------------
  2182. CPU time used : 00:02:45.32
  2183.  
  2184. Generator state:
  2185.  
  2186.  
  2187.  
  2188.  
  2189. ***********************************************************
  2190. HOST =
  2191.  
  2192. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2193.  
  2194.  
  2195. svaria_WeightDistrib test:
  2196. -----------------------------------------------
  2197. N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25
  2198.  
  2199.  
  2200. -----------------------------------------------
  2201. Number of degrees of freedom : 67
  2202. Chi-square statistic : 51.54
  2203. p-value of test : 0.92
  2204.  
  2205. -----------------------------------------------
  2206. CPU time used : 00:02:42.43
  2207.  
  2208. Generator state:
  2209.  
  2210.  
  2211.  
  2212.  
  2213. ***********************************************************
  2214. HOST =
  2215.  
  2216. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2217.  
  2218.  
  2219. svaria_WeightDistrib test:
  2220. -----------------------------------------------
  2221. N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625
  2222.  
  2223.  
  2224. -----------------------------------------------
  2225. Number of degrees of freedom : 37
  2226. Chi-square statistic : 28.13
  2227. p-value of test : 0.85
  2228.  
  2229. -----------------------------------------------
  2230. CPU time used : 00:02:31.56
  2231.  
  2232. Generator state:
  2233.  
  2234.  
  2235.  
  2236.  
  2237. ***********************************************************
  2238. HOST =
  2239.  
  2240. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2241.  
  2242.  
  2243. svaria_WeightDistrib test:
  2244. -----------------------------------------------
  2245. N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625
  2246.  
  2247.  
  2248. -----------------------------------------------
  2249. Number of degrees of freedom : 37
  2250. Chi-square statistic : 33.41
  2251. p-value of test : 0.64
  2252.  
  2253. -----------------------------------------------
  2254. CPU time used : 00:02:47.60
  2255.  
  2256. Generator state:
  2257.  
  2258.  
  2259.  
  2260.  
  2261. ***********************************************************
  2262. HOST =
  2263.  
  2264. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2265.  
  2266.  
  2267. svaria_WeightDistrib test:
  2268. -----------------------------------------------
  2269. N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625
  2270.  
  2271.  
  2272. -----------------------------------------------
  2273. Number of degrees of freedom : 37
  2274. Chi-square statistic : 38.11
  2275. p-value of test : 0.42
  2276.  
  2277. -----------------------------------------------
  2278. CPU time used : 00:02:45.39
  2279.  
  2280. Generator state:
  2281.  
  2282.  
  2283.  
  2284.  
  2285. ***********************************************************
  2286. HOST =
  2287.  
  2288. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2289.  
  2290.  
  2291. svaria_SumCollector test:
  2292. -----------------------------------------------
  2293. N = 1, n = 500000000, r = 0, g = 10
  2294.  
  2295.  
  2296. -----------------------------------------------
  2297. Number of degrees of freedom : 29
  2298. Chi-square statistic : 27.05
  2299. p-value of test : 0.57
  2300.  
  2301. -----------------------------------------------
  2302. CPU time used : 00:05:02.06
  2303.  
  2304. Generator state:
  2305.  
  2306.  
  2307.  
  2308.  
  2309. ***********************************************************
  2310. HOST =
  2311.  
  2312. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2313.  
  2314.  
  2315. smarsa_MatrixRank test:
  2316. -----------------------------------------------
  2317. N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30
  2318.  
  2319.  
  2320. -----------------------------------------------
  2321.  
  2322. Kolmogorov-Smirnov+ statistic = D+ : 0.14
  2323. p-value of test : 0.62
  2324.  
  2325. Kolmogorov-Smirnov- statistic = D- : 0.17
  2326. p-value of test : 0.49
  2327.  
  2328. Anderson-Darling statistic = A2 : 0.57
  2329. p-value of test : 0.67
  2330.  
  2331. Test on the sum of all N observations
  2332. Number of degrees of freedom : 40
  2333. Chi-square statistic : 48.49
  2334. p-value of test : 0.17
  2335.  
  2336. -----------------------------------------------
  2337. CPU time used : 00:01:58.57
  2338.  
  2339. Generator state:
  2340.  
  2341.  
  2342.  
  2343.  
  2344. ***********************************************************
  2345. HOST =
  2346.  
  2347. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2348.  
  2349.  
  2350. smarsa_MatrixRank test:
  2351. -----------------------------------------------
  2352. N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30
  2353.  
  2354.  
  2355. -----------------------------------------------
  2356.  
  2357. Kolmogorov-Smirnov+ statistic = D+ : 0.28
  2358. p-value of test : 0.18
  2359.  
  2360. Kolmogorov-Smirnov- statistic = D- : 0.11
  2361. p-value of test : 0.72
  2362.  
  2363. Anderson-Darling statistic = A2 : 0.68
  2364. p-value of test : 0.58
  2365.  
  2366. Test on the sum of all N observations
  2367. Number of degrees of freedom : 40
  2368. Chi-square statistic : 37.26
  2369. p-value of test : 0.59
  2370.  
  2371. -----------------------------------------------
  2372. CPU time used : 00:01:57.95
  2373.  
  2374. Generator state:
  2375.  
  2376.  
  2377.  
  2378.  
  2379. ***********************************************************
  2380. HOST =
  2381.  
  2382. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2383.  
  2384.  
  2385. smarsa_MatrixRank test:
  2386. -----------------------------------------------
  2387. N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000
  2388.  
  2389.  
  2390. -----------------------------------------------
  2391. Number of degrees of freedom : 3
  2392. Chi-square statistic : 1.87
  2393. p-value of test : 0.60
  2394.  
  2395. -----------------------------------------------
  2396. CPU time used : 00:02:27.32
  2397.  
  2398. Generator state:
  2399.  
  2400.  
  2401.  
  2402.  
  2403. ***********************************************************
  2404. HOST =
  2405.  
  2406. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2407.  
  2408.  
  2409. smarsa_MatrixRank test:
  2410. -----------------------------------------------
  2411. N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000
  2412.  
  2413.  
  2414. -----------------------------------------------
  2415. Number of degrees of freedom : 3
  2416. Chi-square statistic : 5.72
  2417. p-value of test : 0.13
  2418.  
  2419. -----------------------------------------------
  2420. CPU time used : 00:02:27.70
  2421.  
  2422. Generator state:
  2423.  
  2424.  
  2425.  
  2426.  
  2427. ***********************************************************
  2428. HOST =
  2429.  
  2430. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2431.  
  2432.  
  2433. smarsa_MatrixRank test:
  2434. -----------------------------------------------
  2435. N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000
  2436.  
  2437.  
  2438. -----------------------------------------------
  2439. Number of degrees of freedom : 2
  2440. Chi-square statistic : 0.27
  2441. p-value of test : 0.87
  2442.  
  2443. -----------------------------------------------
  2444. CPU time used : 00:01:13.71
  2445.  
  2446. Generator state:
  2447.  
  2448.  
  2449.  
  2450.  
  2451. ***********************************************************
  2452. HOST =
  2453.  
  2454. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2455.  
  2456.  
  2457. smarsa_MatrixRank test:
  2458. -----------------------------------------------
  2459. N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000
  2460.  
  2461.  
  2462. -----------------------------------------------
  2463. Number of degrees of freedom : 2
  2464. Chi-square statistic : 5.71
  2465. p-value of test : 0.06
  2466.  
  2467. -----------------------------------------------
  2468. CPU time used : 00:00:57.39
  2469.  
  2470. Generator state:
  2471.  
  2472.  
  2473.  
  2474.  
  2475. ***********************************************************
  2476. HOST =
  2477.  
  2478. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2479.  
  2480.  
  2481. smarsa_Savir2 test:
  2482. -----------------------------------------------
  2483. N = 10, n = 10000000, r = 10, m = 1048576, t = 30
  2484.  
  2485.  
  2486. -----------------------------------------------
  2487.  
  2488. Kolmogorov-Smirnov+ statistic = D+ : 0.29
  2489. p-value of test : 0.16
  2490.  
  2491. Kolmogorov-Smirnov- statistic = D- : 0.068
  2492. p-value of test : 0.88
  2493.  
  2494. Anderson-Darling statistic = A2 : 1.67
  2495. p-value of test : 0.14
  2496.  
  2497. Test on the sum of all N observations
  2498. Number of degrees of freedom : 130
  2499. Chi-square statistic : 114.97
  2500. p-value of test : 0.82
  2501.  
  2502. -----------------------------------------------
  2503. CPU time used : 00:01:36.17
  2504.  
  2505. Generator state:
  2506.  
  2507.  
  2508.  
  2509.  
  2510. ***********************************************************
  2511. HOST =
  2512.  
  2513. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2514.  
  2515.  
  2516. smarsa_GCD test:
  2517. -----------------------------------------------
  2518. N = 10, n = 50000000, r = 0, s = 30
  2519.  
  2520.  
  2521. -----------------------------------------------
  2522. Test results for GCD values:
  2523.  
  2524. Kolmogorov-Smirnov+ statistic = D+ : 0.18
  2525. p-value of test : 0.45
  2526.  
  2527. Kolmogorov-Smirnov- statistic = D- : 0.15
  2528. p-value of test : 0.57
  2529.  
  2530. Anderson-Darling statistic = A2 : 0.41
  2531. p-value of test : 0.84
  2532.  
  2533. Test on the sum of all N observations
  2534. Number of degrees of freedom : 17430
  2535. Chi-square statistic :17383.11
  2536. p-value of test : 0.60
  2537.  
  2538.  
  2539.  
  2540. -----------------------------------------------
  2541. CPU time used : 00:02:08.51
  2542.  
  2543. Generator state:
  2544.  
  2545.  
  2546.  
  2547.  
  2548. ***********************************************************
  2549. HOST =
  2550.  
  2551. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2552.  
  2553.  
  2554. swalk_RandomWalk1 test:
  2555. -----------------------------------------------
  2556. N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50
  2557.  
  2558.  
  2559.  
  2560. -----------------------------------------------
  2561. Test on the values of the Statistic H
  2562.  
  2563. Number of degrees of freedom : 36
  2564. ChiSquare statistic : 28.59
  2565. p-value of test : 0.81
  2566.  
  2567.  
  2568. -----------------------------------------------
  2569. Test on the values of the Statistic M
  2570.  
  2571. Number of degrees of freedom : 35
  2572. ChiSquare statistic : 31.49
  2573. p-value of test : 0.64
  2574.  
  2575.  
  2576. -----------------------------------------------
  2577. Test on the values of the Statistic J
  2578.  
  2579. Number of degrees of freedom : 25
  2580. ChiSquare statistic : 14.55
  2581. p-value of test : 0.95
  2582.  
  2583.  
  2584. -----------------------------------------------
  2585. Test on the values of the Statistic R
  2586.  
  2587. Number of degrees of freedom : 24
  2588. ChiSquare statistic : 28.07
  2589. p-value of test : 0.26
  2590.  
  2591.  
  2592. -----------------------------------------------
  2593. Test on the values of the Statistic C
  2594.  
  2595. Number of degrees of freedom : 17
  2596. ChiSquare statistic : 14.95
  2597. p-value of test : 0.60
  2598.  
  2599.  
  2600. -----------------------------------------------
  2601. CPU time used : 00:01:12.62
  2602.  
  2603. Generator state:
  2604.  
  2605.  
  2606.  
  2607.  
  2608. ***********************************************************
  2609. HOST =
  2610.  
  2611. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2612.  
  2613.  
  2614. swalk_RandomWalk1 test:
  2615. -----------------------------------------------
  2616. N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50
  2617.  
  2618.  
  2619.  
  2620. -----------------------------------------------
  2621. Test on the values of the Statistic H
  2622.  
  2623. Number of degrees of freedom : 36
  2624. ChiSquare statistic : 37.17
  2625. p-value of test : 0.41
  2626.  
  2627.  
  2628. -----------------------------------------------
  2629. Test on the values of the Statistic M
  2630.  
  2631. Number of degrees of freedom : 35
  2632. ChiSquare statistic : 39.52
  2633. p-value of test : 0.28
  2634.  
  2635.  
  2636. -----------------------------------------------
  2637. Test on the values of the Statistic J
  2638.  
  2639. Number of degrees of freedom : 25
  2640. ChiSquare statistic : 23.66
  2641. p-value of test : 0.54
  2642.  
  2643.  
  2644. -----------------------------------------------
  2645. Test on the values of the Statistic R
  2646.  
  2647. Number of degrees of freedom : 24
  2648. ChiSquare statistic : 19.90
  2649. p-value of test : 0.70
  2650.  
  2651.  
  2652. -----------------------------------------------
  2653. Test on the values of the Statistic C
  2654.  
  2655. Number of degrees of freedom : 17
  2656. ChiSquare statistic : 12.96
  2657. p-value of test : 0.74
  2658.  
  2659.  
  2660. -----------------------------------------------
  2661. CPU time used : 00:01:12.75
  2662.  
  2663. Generator state:
  2664.  
  2665.  
  2666.  
  2667.  
  2668. ***********************************************************
  2669. HOST =
  2670.  
  2671. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2672.  
  2673.  
  2674. swalk_RandomWalk1 test:
  2675. -----------------------------------------------
  2676. N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000
  2677.  
  2678.  
  2679.  
  2680. -----------------------------------------------
  2681. Test on the values of the Statistic H
  2682.  
  2683. Number of degrees of freedom : 146
  2684. ChiSquare statistic : 156.60
  2685. p-value of test : 0.26
  2686.  
  2687.  
  2688. -----------------------------------------------
  2689. Test on the values of the Statistic M
  2690.  
  2691. Number of degrees of freedom : 146
  2692. ChiSquare statistic : 146.52
  2693. p-value of test : 0.47
  2694.  
  2695.  
  2696. -----------------------------------------------
  2697. Test on the values of the Statistic J
  2698.  
  2699. Number of degrees of freedom : 500
  2700. ChiSquare statistic : 492.61
  2701. p-value of test : 0.58
  2702.  
  2703.  
  2704. -----------------------------------------------
  2705. Test on the values of the Statistic R
  2706.  
  2707. Number of degrees of freedom : 136
  2708. ChiSquare statistic : 155.65
  2709. p-value of test : 0.12
  2710.  
  2711.  
  2712. -----------------------------------------------
  2713. Test on the values of the Statistic C
  2714.  
  2715. Number of degrees of freedom : 74
  2716. ChiSquare statistic : 56.25
  2717. p-value of test : 0.94
  2718.  
  2719.  
  2720. -----------------------------------------------
  2721. CPU time used : 00:01:27.81
  2722.  
  2723. Generator state:
  2724.  
  2725.  
  2726.  
  2727.  
  2728. ***********************************************************
  2729. HOST =
  2730.  
  2731. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2732.  
  2733.  
  2734. swalk_RandomWalk1 test:
  2735. -----------------------------------------------
  2736. N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000
  2737.  
  2738.  
  2739.  
  2740. -----------------------------------------------
  2741. Test on the values of the Statistic H
  2742.  
  2743. Number of degrees of freedom : 146
  2744. ChiSquare statistic : 178.77
  2745. p-value of test : 0.03
  2746.  
  2747.  
  2748. -----------------------------------------------
  2749. Test on the values of the Statistic M
  2750.  
  2751. Number of degrees of freedom : 146
  2752. ChiSquare statistic : 180.09
  2753. p-value of test : 0.03
  2754.  
  2755.  
  2756. -----------------------------------------------
  2757. Test on the values of the Statistic J
  2758.  
  2759. Number of degrees of freedom : 500
  2760. ChiSquare statistic : 545.52
  2761. p-value of test : 0.08
  2762.  
  2763.  
  2764. -----------------------------------------------
  2765. Test on the values of the Statistic R
  2766.  
  2767. Number of degrees of freedom : 136
  2768. ChiSquare statistic : 113.56
  2769. p-value of test : 0.92
  2770.  
  2771.  
  2772. -----------------------------------------------
  2773. Test on the values of the Statistic C
  2774.  
  2775. Number of degrees of freedom : 74
  2776. ChiSquare statistic : 50.58
  2777. p-value of test : 0.98
  2778.  
  2779.  
  2780. -----------------------------------------------
  2781. CPU time used : 00:01:28.32
  2782.  
  2783. Generator state:
  2784.  
  2785.  
  2786.  
  2787.  
  2788. ***********************************************************
  2789. HOST =
  2790.  
  2791. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2792.  
  2793.  
  2794. swalk_RandomWalk1 test:
  2795. -----------------------------------------------
  2796. N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000
  2797.  
  2798.  
  2799.  
  2800. -----------------------------------------------
  2801. Test on the values of the Statistic H
  2802.  
  2803. Number of degrees of freedom : 384
  2804. ChiSquare statistic : 382.22
  2805. p-value of test : 0.52
  2806.  
  2807.  
  2808. -----------------------------------------------
  2809. Test on the values of the Statistic M
  2810.  
  2811. Number of degrees of freedom : 384
  2812. ChiSquare statistic : 397.15
  2813. p-value of test : 0.31
  2814.  
  2815.  
  2816. -----------------------------------------------
  2817. Test on the values of the Statistic J
  2818.  
  2819. Number of degrees of freedom : 5000
  2820. ChiSquare statistic : 5133.84
  2821. p-value of test : 0.09
  2822.  
  2823.  
  2824. -----------------------------------------------
  2825. Test on the values of the Statistic R
  2826.  
  2827. Number of degrees of freedom : 378
  2828. ChiSquare statistic : 378.83
  2829. p-value of test : 0.48
  2830.  
  2831.  
  2832. -----------------------------------------------
  2833. Test on the values of the Statistic C
  2834.  
  2835. Number of degrees of freedom : 200
  2836. ChiSquare statistic : 180.34
  2837. p-value of test : 0.84
  2838.  
  2839.  
  2840. -----------------------------------------------
  2841. CPU time used : 00:01:12.31
  2842.  
  2843. Generator state:
  2844.  
  2845.  
  2846.  
  2847.  
  2848. ***********************************************************
  2849. HOST =
  2850.  
  2851. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2852.  
  2853.  
  2854. swalk_RandomWalk1 test:
  2855. -----------------------------------------------
  2856. N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000
  2857.  
  2858.  
  2859.  
  2860. -----------------------------------------------
  2861. Test on the values of the Statistic H
  2862.  
  2863. Number of degrees of freedom : 384
  2864. ChiSquare statistic : 356.73
  2865. p-value of test : 0.84
  2866.  
  2867.  
  2868. -----------------------------------------------
  2869. Test on the values of the Statistic M
  2870.  
  2871. Number of degrees of freedom : 384
  2872. ChiSquare statistic : 357.66
  2873. p-value of test : 0.83
  2874.  
  2875.  
  2876. -----------------------------------------------
  2877. Test on the values of the Statistic J
  2878.  
  2879. Number of degrees of freedom : 5000
  2880. ChiSquare statistic : 4987.18
  2881. p-value of test : 0.55
  2882.  
  2883.  
  2884. -----------------------------------------------
  2885. Test on the values of the Statistic R
  2886.  
  2887. Number of degrees of freedom : 378
  2888. ChiSquare statistic : 404.40
  2889. p-value of test : 0.17
  2890.  
  2891.  
  2892. -----------------------------------------------
  2893. Test on the values of the Statistic C
  2894.  
  2895. Number of degrees of freedom : 200
  2896. ChiSquare statistic : 176.32
  2897. p-value of test : 0.89
  2898.  
  2899.  
  2900. -----------------------------------------------
  2901. CPU time used : 00:01:13.95
  2902.  
  2903. Generator state:
  2904.  
  2905.  
  2906.  
  2907.  
  2908. ***********************************************************
  2909. HOST =
  2910.  
  2911. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2912.  
  2913.  
  2914. scomp_LinearComp test:
  2915. -----------------------------------------------
  2916. N = 1, n = 400020, r = 0, s = 1
  2917.  
  2918.  
  2919.  
  2920. -----------------------------------------------
  2921. Number of degrees of freedom : 12
  2922. Chi2 statistic for size of jumps : 13.03
  2923. p-value of test : 0.37
  2924.  
  2925.  
  2926. -----------------------------------------------
  2927. Normal statistic for number of jumps : 0.97
  2928. p-value of test : 0.17
  2929.  
  2930.  
  2931.  
  2932. -----------------------------------------------
  2933. CPU time used : 00:01:02.89
  2934.  
  2935. Generator state:
  2936.  
  2937.  
  2938.  
  2939.  
  2940. ***********************************************************
  2941. HOST =
  2942.  
  2943. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2944.  
  2945.  
  2946. scomp_LinearComp test:
  2947. -----------------------------------------------
  2948. N = 1, n = 400020, r = 29, s = 1
  2949.  
  2950.  
  2951.  
  2952. -----------------------------------------------
  2953. Number of degrees of freedom : 12
  2954. Chi2 statistic for size of jumps : 10.90
  2955. p-value of test : 0.54
  2956.  
  2957.  
  2958. -----------------------------------------------
  2959. Normal statistic for number of jumps : 1.21
  2960. p-value of test : 0.11
  2961.  
  2962.  
  2963.  
  2964. -----------------------------------------------
  2965. CPU time used : 00:01:03.42
  2966.  
  2967. Generator state:
  2968.  
  2969.  
  2970.  
  2971.  
  2972. ***********************************************************
  2973. HOST =
  2974.  
  2975. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  2976.  
  2977.  
  2978. scomp_LempelZiv test:
  2979. -----------------------------------------------
  2980. N = 10, n = 134217728, r = 0, s = 30, k = 27
  2981.  
  2982.  
  2983. -----------------------------------------------
  2984.  
  2985. Kolmogorov-Smirnov+ statistic = D+ : 0.20
  2986. p-value of test : 0.41
  2987.  
  2988. Kolmogorov-Smirnov- statistic = D- : 0.18
  2989. p-value of test : 0.48
  2990.  
  2991. Anderson-Darling statistic = A2 : 0.60
  2992. p-value of test : 0.65
  2993.  
  2994. Tests on the sum of all N observations
  2995. Standardized normal statistic : -0.34
  2996. p-value of test : 0.63
  2997.  
  2998. Sample variance : 0.40
  2999. p-value of test : 0.93
  3000.  
  3001. -----------------------------------------------
  3002. CPU time used : 00:01:30.87
  3003.  
  3004. Generator state:
  3005.  
  3006.  
  3007.  
  3008.  
  3009. ***********************************************************
  3010. HOST =
  3011.  
  3012. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3013.  
  3014.  
  3015. scomp_LempelZiv test:
  3016. -----------------------------------------------
  3017. N = 10, n = 134217728, r = 15, s = 15, k = 27
  3018.  
  3019.  
  3020. -----------------------------------------------
  3021.  
  3022. Kolmogorov-Smirnov+ statistic = D+ : 0.095
  3023. p-value of test : 0.78
  3024.  
  3025. Kolmogorov-Smirnov- statistic = D- : 0.15
  3026. p-value of test : 0.57
  3027.  
  3028. Anderson-Darling statistic = A2 : 0.42
  3029. p-value of test : 0.83
  3030.  
  3031. Tests on the sum of all N observations
  3032. Standardized normal statistic : 0.043
  3033. p-value of test : 0.48
  3034.  
  3035. Sample variance : 1.61
  3036. p-value of test : 0.11
  3037.  
  3038. -----------------------------------------------
  3039. CPU time used : 00:01:31.54
  3040.  
  3041. Generator state:
  3042.  
  3043.  
  3044.  
  3045.  
  3046. ***********************************************************
  3047. HOST =
  3048.  
  3049. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3050.  
  3051.  
  3052. sspectral_Fourier3 test:
  3053. -----------------------------------------------
  3054. N = 100000, n = 16384, r = 0, s = 3, k = 14
  3055.  
  3056.  
  3057. -----------------------------------------------
  3058.  
  3059. Kolmogorov-Smirnov+ statistic = D+ : 8.18e-03
  3060. p-value of test : 0.57
  3061.  
  3062. Kolmogorov-Smirnov- statistic = D- : 0.011
  3063. p-value of test : 0.40
  3064.  
  3065. Anderson-Darling statistic = A2 : 0.53
  3066. p-value of test : 0.71
  3067.  
  3068. -----------------------------------------------
  3069. CPU time used : 00:00:56.39
  3070.  
  3071. Generator state:
  3072.  
  3073.  
  3074.  
  3075.  
  3076. ***********************************************************
  3077. HOST =
  3078.  
  3079. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3080.  
  3081.  
  3082. sspectral_Fourier3 test:
  3083. -----------------------------------------------
  3084. N = 100000, n = 16384, r = 27, s = 3, k = 14
  3085.  
  3086.  
  3087. -----------------------------------------------
  3088.  
  3089. Kolmogorov-Smirnov+ statistic = D+ : 9.48e-03
  3090. p-value of test : 0.48
  3091.  
  3092. Kolmogorov-Smirnov- statistic = D- : 7.82e-03
  3093. p-value of test : 0.60
  3094.  
  3095. Anderson-Darling statistic = A2 : 0.60
  3096. p-value of test : 0.64
  3097.  
  3098. -----------------------------------------------
  3099. CPU time used : 00:00:57.46
  3100.  
  3101. Generator state:
  3102.  
  3103.  
  3104.  
  3105.  
  3106. ***********************************************************
  3107. HOST =
  3108.  
  3109. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3110.  
  3111.  
  3112. sstring_LongestHeadRun test:
  3113. -----------------------------------------------
  3114. N = 1, n = 1000, r = 0, s = 3, L = 10000020
  3115.  
  3116.  
  3117. -----------------------------------------------
  3118. Number of degrees of freedom : 8
  3119. Chi-square statistic : 4.18
  3120. p-value of test : 0.84
  3121.  
  3122. -----------------------------------------------
  3123. Global longest run of 1 : 33.00
  3124. p-value of test : 0.44
  3125.  
  3126.  
  3127.  
  3128. -----------------------------------------------
  3129. CPU time used : 00:02:43.64
  3130.  
  3131. Generator state:
  3132.  
  3133.  
  3134.  
  3135.  
  3136. ***********************************************************
  3137. HOST =
  3138.  
  3139. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3140.  
  3141.  
  3142. sstring_LongestHeadRun test:
  3143. -----------------------------------------------
  3144. N = 1, n = 1000, r = 27, s = 3, L = 10000020
  3145.  
  3146.  
  3147. -----------------------------------------------
  3148. Number of degrees of freedom : 8
  3149. Chi-square statistic : 3.16
  3150. p-value of test : 0.92
  3151.  
  3152. -----------------------------------------------
  3153. Global longest run of 1 : 35.00
  3154. p-value of test : 0.14
  3155.  
  3156.  
  3157.  
  3158. -----------------------------------------------
  3159. CPU time used : 00:02:50.81
  3160.  
  3161. Generator state:
  3162.  
  3163.  
  3164.  
  3165.  
  3166. ***********************************************************
  3167. HOST =
  3168.  
  3169. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3170.  
  3171.  
  3172. sstring_PeriodsInStrings test:
  3173. -----------------------------------------------
  3174. N = 10, n = 500000000, r = 0, s = 10
  3175.  
  3176.  
  3177. -----------------------------------------------
  3178.  
  3179. Kolmogorov-Smirnov+ statistic = D+ : 0.20
  3180. p-value of test : 0.41
  3181.  
  3182. Kolmogorov-Smirnov- statistic = D- : 0.051
  3183. p-value of test : 0.92
  3184.  
  3185. Anderson-Darling statistic = A2 : 0.70
  3186. p-value of test : 0.56
  3187.  
  3188. Test on the sum of all N observations
  3189. Number of degrees of freedom : 200
  3190. Chi-square statistic : 179.09
  3191. p-value of test : 0.85
  3192.  
  3193. -----------------------------------------------
  3194. CPU time used : 00:05:06.87
  3195.  
  3196. Generator state:
  3197.  
  3198.  
  3199.  
  3200.  
  3201. ***********************************************************
  3202. HOST =
  3203.  
  3204. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3205.  
  3206.  
  3207. sstring_PeriodsInStrings test:
  3208. -----------------------------------------------
  3209. N = 10, n = 500000000, r = 20, s = 10
  3210.  
  3211.  
  3212. -----------------------------------------------
  3213.  
  3214. Kolmogorov-Smirnov+ statistic = D+ : 0.29
  3215. p-value of test : 0.16
  3216.  
  3217. Kolmogorov-Smirnov- statistic = D- : 0.068
  3218. p-value of test : 0.88
  3219.  
  3220. Anderson-Darling statistic = A2 : 1.32
  3221. p-value of test : 0.23
  3222.  
  3223. Test on the sum of all N observations
  3224. Number of degrees of freedom : 200
  3225. Chi-square statistic : 173.94
  3226. p-value of test : 0.91
  3227.  
  3228. -----------------------------------------------
  3229. CPU time used : 00:05:08.00
  3230.  
  3231. Generator state:
  3232.  
  3233.  
  3234.  
  3235.  
  3236. ***********************************************************
  3237. HOST =
  3238.  
  3239. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3240.  
  3241.  
  3242. sstring_HammingWeight2 test:
  3243. -----------------------------------------------
  3244. N = 10, n = 1000000000, r = 0, s = 3, L = 1000000
  3245.  
  3246.  
  3247. -----------------------------------------------
  3248.  
  3249. Kolmogorov-Smirnov+ statistic = D+ : 0.31
  3250. p-value of test : 0.11
  3251.  
  3252. Kolmogorov-Smirnov- statistic = D- : 0.045
  3253. p-value of test : 0.93
  3254.  
  3255. Anderson-Darling statistic = A2 : 0.94
  3256. p-value of test : 0.39
  3257.  
  3258. Test on the sum of all N observations
  3259. Number of degrees of freedom : 10000
  3260. Chi-square statistic : 9848.57
  3261. p-value of test : 0.86
  3262.  
  3263. -----------------------------------------------
  3264. CPU time used : 00:02:00.50
  3265.  
  3266. Generator state:
  3267.  
  3268.  
  3269.  
  3270.  
  3271. ***********************************************************
  3272. HOST =
  3273.  
  3274. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3275.  
  3276.  
  3277. sstring_HammingWeight2 test:
  3278. -----------------------------------------------
  3279. N = 10, n = 1000000000, r = 27, s = 3, L = 1000000
  3280.  
  3281.  
  3282. -----------------------------------------------
  3283.  
  3284. Kolmogorov-Smirnov+ statistic = D+ : 0.35
  3285. p-value of test : 0.07
  3286.  
  3287. Kolmogorov-Smirnov- statistic = D- : 0.029
  3288. p-value of test : 0.96
  3289.  
  3290. Anderson-Darling statistic = A2 : 1.58
  3291. p-value of test : 0.16
  3292.  
  3293. Test on the sum of all N observations
  3294. Number of degrees of freedom : 10000
  3295. Chi-square statistic : 9777.06
  3296. p-value of test : 0.94
  3297.  
  3298. -----------------------------------------------
  3299. CPU time used : 00:02:04.29
  3300.  
  3301. Generator state:
  3302.  
  3303.  
  3304.  
  3305.  
  3306. ***********************************************************
  3307. HOST =
  3308.  
  3309. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3310.  
  3311.  
  3312. sstring_HammingCorr test:
  3313. -----------------------------------------------
  3314. N = 1, n = 1000000000, r = 10, s = 10, L = 30
  3315.  
  3316.  
  3317.  
  3318. -----------------------------------------------
  3319. Normal statistic : 0.87
  3320. p-value of test : 0.19
  3321.  
  3322. -----------------------------------------------
  3323. CPU time used : 00:02:10.92
  3324.  
  3325. Generator state:
  3326.  
  3327.  
  3328.  
  3329.  
  3330. ***********************************************************
  3331. HOST =
  3332.  
  3333. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3334.  
  3335.  
  3336. sstring_HammingCorr test:
  3337. -----------------------------------------------
  3338. N = 1, n = 100000000, r = 10, s = 10, L = 300
  3339.  
  3340.  
  3341.  
  3342. -----------------------------------------------
  3343. Normal statistic : -1.60
  3344. p-value of test : 0.95
  3345.  
  3346. -----------------------------------------------
  3347. CPU time used : 00:02:08.45
  3348.  
  3349. Generator state:
  3350.  
  3351.  
  3352.  
  3353.  
  3354. ***********************************************************
  3355. HOST =
  3356.  
  3357. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3358.  
  3359.  
  3360. sstring_HammingCorr test:
  3361. -----------------------------------------------
  3362. N = 1, n = 100000000, r = 10, s = 10, L = 1200
  3363.  
  3364.  
  3365.  
  3366. -----------------------------------------------
  3367. Normal statistic : -0.17
  3368. p-value of test : 0.57
  3369.  
  3370. -----------------------------------------------
  3371. CPU time used : 00:08:40.79
  3372.  
  3373. Generator state:
  3374.  
  3375.  
  3376.  
  3377.  
  3378. ***********************************************************
  3379. HOST =
  3380.  
  3381. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3382.  
  3383.  
  3384. sstring_HammingIndep test:
  3385. -----------------------------------------------
  3386. N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0
  3387.  
  3388.  
  3389.  
  3390. Counters with expected numbers >= 10
  3391. -----------------------------------------------
  3392.  
  3393. Kolmogorov-Smirnov+ statistic = D+ : 0.033
  3394. p-value of test : 0.96
  3395.  
  3396. Kolmogorov-Smirnov- statistic = D- : 0.34
  3397. p-value of test : 0.08
  3398.  
  3399. Anderson-Darling statistic = A2 : 1.61
  3400. p-value of test : 0.15
  3401.  
  3402. Test on the sum of all N observations
  3403. Number of degrees of freedom : 4890
  3404. Chi-square statistic : 5062.27
  3405. p-value of test : 0.04
  3406.  
  3407. -----------------------------------------------
  3408. CPU time used : 00:03:51.71
  3409.  
  3410. Generator state:
  3411.  
  3412.  
  3413.  
  3414.  
  3415. ***********************************************************
  3416. HOST =
  3417.  
  3418. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3419.  
  3420.  
  3421. sstring_HammingIndep test:
  3422. -----------------------------------------------
  3423. N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0
  3424.  
  3425.  
  3426.  
  3427. Counters with expected numbers >= 10
  3428. -----------------------------------------------
  3429.  
  3430. Kolmogorov-Smirnov+ statistic = D+ : 0.11
  3431. p-value of test : 0.74
  3432.  
  3433. Kolmogorov-Smirnov- statistic = D- : 0.21
  3434. p-value of test : 0.35
  3435.  
  3436. Anderson-Darling statistic = A2 : 0.53
  3437. p-value of test : 0.71
  3438.  
  3439. Test on the sum of all N observations
  3440. Number of degrees of freedom : 4890
  3441. Chi-square statistic : 4950.39
  3442. p-value of test : 0.27
  3443.  
  3444. -----------------------------------------------
  3445. CPU time used : 00:03:59.01
  3446.  
  3447. Generator state:
  3448.  
  3449.  
  3450.  
  3451.  
  3452. ***********************************************************
  3453. HOST =
  3454.  
  3455. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3456.  
  3457.  
  3458. sstring_HammingIndep test:
  3459. -----------------------------------------------
  3460. N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0
  3461.  
  3462.  
  3463.  
  3464. Counters with expected numbers >= 10
  3465. -----------------------------------------------
  3466. Number of degrees of freedom : 4117
  3467. Chi-square statistic : 4151.71
  3468. p-value of test : 0.35
  3469.  
  3470. -----------------------------------------------
  3471. CPU time used : 00:02:47.70
  3472.  
  3473. Generator state:
  3474.  
  3475.  
  3476.  
  3477.  
  3478. ***********************************************************
  3479. HOST =
  3480.  
  3481. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3482.  
  3483.  
  3484. sstring_HammingIndep test:
  3485. -----------------------------------------------
  3486. N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0
  3487.  
  3488.  
  3489.  
  3490. Counters with expected numbers >= 10
  3491. -----------------------------------------------
  3492. Number of degrees of freedom : 4117
  3493. Chi-square statistic : 3884.39
  3494. p-value of test : 0.9954
  3495.  
  3496. -----------------------------------------------
  3497. CPU time used : 00:02:55.45
  3498.  
  3499. Generator state:
  3500.  
  3501.  
  3502.  
  3503.  
  3504. ***********************************************************
  3505. HOST =
  3506.  
  3507. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3508.  
  3509.  
  3510. sstring_HammingIndep test:
  3511. -----------------------------------------------
  3512. N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0
  3513.  
  3514.  
  3515.  
  3516. Counters with expected numbers >= 10
  3517. -----------------------------------------------
  3518. Number of degrees of freedom : 11825
  3519. Chi-square statistic :11662.00
  3520. p-value of test : 0.86
  3521.  
  3522. -----------------------------------------------
  3523. CPU time used : 00:03:04.57
  3524.  
  3525. Generator state:
  3526.  
  3527.  
  3528.  
  3529.  
  3530. ***********************************************************
  3531. HOST =
  3532.  
  3533. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3534.  
  3535.  
  3536. sstring_HammingIndep test:
  3537. -----------------------------------------------
  3538. N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0
  3539.  
  3540.  
  3541.  
  3542. Counters with expected numbers >= 10
  3543. -----------------------------------------------
  3544. Number of degrees of freedom : 11825
  3545. Chi-square statistic :11949.63
  3546. p-value of test : 0.21
  3547.  
  3548. -----------------------------------------------
  3549. CPU time used : 00:03:14.76
  3550.  
  3551. Generator state:
  3552.  
  3553.  
  3554.  
  3555.  
  3556. ***********************************************************
  3557. HOST =
  3558.  
  3559. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3560.  
  3561.  
  3562. sstring_Run test:
  3563. -----------------------------------------------
  3564. N = 1, n = 2000000000, r = 0, s = 3
  3565.  
  3566.  
  3567. -----------------------------------------------
  3568. Total number of 1 runs: 2000000000
  3569.  
  3570. Number of degrees of freedom : 54
  3571. Chi2 statistic for number of runs : 47.29
  3572. p-value of test : 0.73
  3573.  
  3574.  
  3575. -----------------------------------------------
  3576. Total number of bits: 7999966599
  3577.  
  3578. Normal statistic for number of bits : -0.26
  3579. p-value of test : 0.60
  3580.  
  3581.  
  3582.  
  3583. -----------------------------------------------
  3584. CPU time used : 00:02:17.51
  3585.  
  3586. Generator state:
  3587.  
  3588.  
  3589.  
  3590.  
  3591. ***********************************************************
  3592. HOST =
  3593.  
  3594. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3595.  
  3596.  
  3597. sstring_Run test:
  3598. -----------------------------------------------
  3599. N = 1, n = 2000000000, r = 27, s = 3
  3600.  
  3601.  
  3602. -----------------------------------------------
  3603. Total number of 1 runs: 2000000000
  3604.  
  3605. Number of degrees of freedom : 54
  3606. Chi2 statistic for number of runs : 60.47
  3607. p-value of test : 0.25
  3608.  
  3609.  
  3610. -----------------------------------------------
  3611. Total number of bits: 8000024382
  3612.  
  3613. Normal statistic for number of bits : 0.19
  3614. p-value of test : 0.42
  3615.  
  3616.  
  3617.  
  3618. -----------------------------------------------
  3619. CPU time used : 00:02:20.21
  3620.  
  3621. Generator state:
  3622.  
  3623.  
  3624.  
  3625.  
  3626. ***********************************************************
  3627. HOST =
  3628.  
  3629. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3630.  
  3631.  
  3632. sstring_AutoCor test:
  3633. -----------------------------------------------
  3634. N = 10, n = 1000000030, r = 0, s = 3, d = 1
  3635.  
  3636.  
  3637. -----------------------------------------------
  3638.  
  3639. Kolmogorov-Smirnov+ statistic = D+ : 0.13
  3640. p-value of test : 0.65
  3641.  
  3642. Kolmogorov-Smirnov- statistic = D- : 0.15
  3643. p-value of test : 0.58
  3644.  
  3645. Anderson-Darling statistic = A2 : 0.30
  3646. p-value of test : 0.94
  3647.  
  3648. Tests on the sum of all N observations
  3649. Standardized normal statistic : -0.15
  3650. p-value of test : 0.56
  3651.  
  3652. Sample variance : 1.07
  3653. p-value of test : 0.38
  3654.  
  3655. -----------------------------------------------
  3656. CPU time used : 00:03:29.85
  3657.  
  3658. Generator state:
  3659.  
  3660.  
  3661.  
  3662.  
  3663. ***********************************************************
  3664. HOST =
  3665.  
  3666. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3667.  
  3668.  
  3669. sstring_AutoCor test:
  3670. -----------------------------------------------
  3671. N = 10, n = 1000000029, r = 0, s = 3, d = 3
  3672.  
  3673.  
  3674. -----------------------------------------------
  3675.  
  3676. Kolmogorov-Smirnov+ statistic = D+ : 0.087
  3677. p-value of test : 0.82
  3678.  
  3679. Kolmogorov-Smirnov- statistic = D- : 0.23
  3680. p-value of test : 0.30
  3681.  
  3682. Anderson-Darling statistic = A2 : 0.66
  3683. p-value of test : 0.59
  3684.  
  3685. Tests on the sum of all N observations
  3686. Standardized normal statistic : 0.68
  3687. p-value of test : 0.25
  3688.  
  3689. Sample variance : 1.35
  3690. p-value of test : 0.20
  3691.  
  3692. -----------------------------------------------
  3693. CPU time used : 00:02:58.00
  3694.  
  3695. Generator state:
  3696.  
  3697.  
  3698.  
  3699.  
  3700. ***********************************************************
  3701. HOST =
  3702.  
  3703. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3704.  
  3705.  
  3706. sstring_AutoCor test:
  3707. -----------------------------------------------
  3708. N = 10, n = 1000000030, r = 27, s = 3, d = 1
  3709.  
  3710.  
  3711. -----------------------------------------------
  3712.  
  3713. Kolmogorov-Smirnov+ statistic = D+ : 0.21
  3714. p-value of test : 0.37
  3715.  
  3716. Kolmogorov-Smirnov- statistic = D- : 0.14
  3717. p-value of test : 0.62
  3718.  
  3719. Anderson-Darling statistic = A2 : 0.56
  3720. p-value of test : 0.68
  3721.  
  3722. Tests on the sum of all N observations
  3723. Standardized normal statistic : -0.45
  3724. p-value of test : 0.68
  3725.  
  3726. Sample variance : 1.50
  3727. p-value of test : 0.14
  3728.  
  3729. -----------------------------------------------
  3730. CPU time used : 00:03:26.46
  3731.  
  3732. Generator state:
  3733.  
  3734.  
  3735.  
  3736.  
  3737. ***********************************************************
  3738. HOST =
  3739.  
  3740. XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3741.  
  3742.  
  3743. sstring_AutoCor test:
  3744. -----------------------------------------------
  3745. N = 10, n = 1000000029, r = 27, s = 3, d = 3
  3746.  
  3747.  
  3748. -----------------------------------------------
  3749.  
  3750. Kolmogorov-Smirnov+ statistic = D+ : 0.12
  3751. p-value of test : 0.69
  3752.  
  3753. Kolmogorov-Smirnov- statistic = D- : 0.32
  3754. p-value of test : 0.10
  3755.  
  3756. Anderson-Darling statistic = A2 : 2.03
  3757. p-value of test : 0.09
  3758.  
  3759. Tests on the sum of all N observations
  3760. Standardized normal statistic : 1.68
  3761. p-value of test : 0.05
  3762.  
  3763. Sample variance : 1.44
  3764. p-value of test : 0.16
  3765.  
  3766. -----------------------------------------------
  3767. CPU time used : 00:03:00.75
  3768.  
  3769. Generator state:
  3770.  
  3771.  
  3772.  
  3773.  
  3774.  
  3775. ========= Summary results of BigCrush =========
  3776.  
  3777. Version: TestU01 1.2.3
  3778. Generator: XORRotAQuShu-D-8-[ps42] [seed=0,rep=0,normal]
  3779. Number of statistics: 160
  3780. Total CPU time: 05:42:37.20
  3781.  
  3782. All tests were passed
  3783.  
  3784.  
  3785.  
  3786. [Date and time of compilation of the test program: 2020-11-26, 21:23:53]
  3787. [Date and time of start of this test: 2020-11-29, 23:44:19]
  3788.  
  3789. xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  3790. Starting BigCrush
  3791. Version: TestU01 1.2.3
  3792. xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  3793.  
  3794.  
  3795. ***********************************************************
  3796. Test smarsa_SerialOver calling smultin_MultinomialOver
  3797.  
  3798. ***********************************************************
  3799. HOST =
  3800.  
  3801. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  3802.  
  3803.  
  3804. smultin_MultinomialOver test:
  3805. -----------------------------------------------
  3806. N = 1, n = 1000000000, r = 0, d = 256, t = 3,
  3807. Sparse = FALSE
  3808.  
  3809. GenerCell = smultin_GenerCellSerial
  3810. Number of cells = d^t = 16777216
  3811. Expected number per cell = 59.604645
  3812. Hashing = FALSE
  3813.  
  3814. For Delta > -1, we use the ChiSquare approximation
  3815. Correction factor of the ChiSquare:
  3816. Delta = 1, Mu = 0.0083558402, Sigma = 1
  3817.  
  3818. -----------------------------------------------
  3819. Test Results for Delta = 1.0000
  3820.  
  3821. Number of degrees of freedom : 16711680
  3822. Value of the statistic : 1.67e+07
  3823. p-value of test : 0.14
  3824.  
  3825.  
  3826. -----------------------------------------------
  3827. CPU time used : 00:01:44.21
  3828.  
  3829. Generator state:
  3830.  
  3831.  
  3832.  
  3833.  
  3834. ***********************************************************
  3835. Test smarsa_SerialOver calling smultin_MultinomialOver
  3836.  
  3837. ***********************************************************
  3838. HOST =
  3839.  
  3840. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  3841.  
  3842.  
  3843. smultin_MultinomialOver test:
  3844. -----------------------------------------------
  3845. N = 1, n = 1000000000, r = 22, d = 256, t = 3,
  3846. Sparse = FALSE
  3847.  
  3848. GenerCell = smultin_GenerCellSerial
  3849. Number of cells = d^t = 16777216
  3850. Expected number per cell = 59.604645
  3851. Hashing = FALSE
  3852.  
  3853. For Delta > -1, we use the ChiSquare approximation
  3854. Correction factor of the ChiSquare:
  3855. Delta = 1, Mu = 0.0083558402, Sigma = 1
  3856.  
  3857. -----------------------------------------------
  3858. Test Results for Delta = 1.0000
  3859.  
  3860. Number of degrees of freedom : 16711680
  3861. Value of the statistic : 1.67e+07
  3862. p-value of test : 0.42
  3863.  
  3864.  
  3865. -----------------------------------------------
  3866. CPU time used : 00:01:53.59
  3867.  
  3868. Generator state:
  3869.  
  3870.  
  3871.  
  3872.  
  3873. ***********************************************************
  3874. Test smarsa_CollisionOver calling smultin_MultinomialOver
  3875.  
  3876. ***********************************************************
  3877. HOST =
  3878.  
  3879. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  3880.  
  3881.  
  3882. smultin_MultinomialOver test:
  3883. -----------------------------------------------
  3884. N = 30, n = 20000000, r = 0, d = 2097152, t = 2,
  3885. Sparse = TRUE
  3886.  
  3887. GenerCell = smultin_GenerCellSerial
  3888. Number of cells = d^t = 4398046511104
  3889. Expected number per cell = 1 / 219902.33
  3890. EColl = n^2 / (2k) = 45.47473509
  3891. Hashing = TRUE
  3892.  
  3893. Collision test
  3894.  
  3895. CollisionOver: density = n / k = 1 / 219902.33
  3896. Expected number of collisions = Mu = 45.47
  3897.  
  3898.  
  3899. -----------------------------------------------
  3900. Results of CollisionOver test:
  3901.  
  3902. POISSON approximation :
  3903. Expected number of collisions = N*Mu : 1364.24
  3904. Observed number of collisions : 1382
  3905. p-value of test : 0.32
  3906.  
  3907. -----------------------------
  3908. Total number of cells containing j balls
  3909.  
  3910. j = 0 : 131940795334502
  3911. j = 1 : 599997236
  3912. j = 2 : 1382
  3913. j = 3 : 0
  3914. j = 4 : 0
  3915. j = 5 : 0
  3916.  
  3917. -----------------------------------------------
  3918. CPU time used : 00:03:56.29
  3919.  
  3920. Generator state:
  3921.  
  3922.  
  3923.  
  3924.  
  3925. ***********************************************************
  3926. Test smarsa_CollisionOver calling smultin_MultinomialOver
  3927.  
  3928. ***********************************************************
  3929. HOST =
  3930.  
  3931. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  3932.  
  3933.  
  3934. smultin_MultinomialOver test:
  3935. -----------------------------------------------
  3936. N = 30, n = 20000000, r = 9, d = 2097152, t = 2,
  3937. Sparse = TRUE
  3938.  
  3939. GenerCell = smultin_GenerCellSerial
  3940. Number of cells = d^t = 4398046511104
  3941. Expected number per cell = 1 / 219902.33
  3942. EColl = n^2 / (2k) = 45.47473509
  3943. Hashing = TRUE
  3944.  
  3945. Collision test
  3946.  
  3947. CollisionOver: density = n / k = 1 / 219902.33
  3948. Expected number of collisions = Mu = 45.47
  3949.  
  3950.  
  3951. -----------------------------------------------
  3952. Results of CollisionOver test:
  3953.  
  3954. POISSON approximation :
  3955. Expected number of collisions = N*Mu : 1364.24
  3956. Observed number of collisions : 1312
  3957. p-value of test : 0.92
  3958.  
  3959. -----------------------------
  3960. Total number of cells containing j balls
  3961.  
  3962. j = 0 : 131940795334432
  3963. j = 1 : 599997376
  3964. j = 2 : 1312
  3965. j = 3 : 0
  3966. j = 4 : 0
  3967. j = 5 : 0
  3968.  
  3969. -----------------------------------------------
  3970. CPU time used : 00:03:56.03
  3971.  
  3972. Generator state:
  3973.  
  3974.  
  3975.  
  3976.  
  3977. ***********************************************************
  3978. Test smarsa_CollisionOver calling smultin_MultinomialOver
  3979.  
  3980. ***********************************************************
  3981. HOST =
  3982.  
  3983. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  3984.  
  3985.  
  3986. smultin_MultinomialOver test:
  3987. -----------------------------------------------
  3988. N = 30, n = 20000000, r = 0, d = 16384, t = 3,
  3989. Sparse = TRUE
  3990.  
  3991. GenerCell = smultin_GenerCellSerial
  3992. Number of cells = d^t = 4398046511104
  3993. Expected number per cell = 1 / 219902.33
  3994. EColl = n^2 / (2k) = 45.47473509
  3995. Hashing = TRUE
  3996.  
  3997. Collision test
  3998.  
  3999. CollisionOver: density = n / k = 1 / 219902.33
  4000. Expected number of collisions = Mu = 45.47
  4001.  
  4002.  
  4003. -----------------------------------------------
  4004. Results of CollisionOver test:
  4005.  
  4006. POISSON approximation :
  4007. Expected number of collisions = N*Mu : 1364.24
  4008. Observed number of collisions : 1373
  4009. p-value of test : 0.41
  4010.  
  4011. -----------------------------
  4012. Total number of cells containing j balls
  4013.  
  4014. j = 0 : 131940795334493
  4015. j = 1 : 599997254
  4016. j = 2 : 1373
  4017. j = 3 : 0
  4018. j = 4 : 0
  4019. j = 5 : 0
  4020.  
  4021. -----------------------------------------------
  4022. CPU time used : 00:05:04.59
  4023.  
  4024. Generator state:
  4025.  
  4026.  
  4027.  
  4028.  
  4029. ***********************************************************
  4030. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4031.  
  4032. ***********************************************************
  4033. HOST =
  4034.  
  4035. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4036.  
  4037.  
  4038. smultin_MultinomialOver test:
  4039. -----------------------------------------------
  4040. N = 30, n = 20000000, r = 16, d = 16384, t = 3,
  4041. Sparse = TRUE
  4042.  
  4043. GenerCell = smultin_GenerCellSerial
  4044. Number of cells = d^t = 4398046511104
  4045. Expected number per cell = 1 / 219902.33
  4046. EColl = n^2 / (2k) = 45.47473509
  4047. Hashing = TRUE
  4048.  
  4049. Collision test
  4050.  
  4051. CollisionOver: density = n / k = 1 / 219902.33
  4052. Expected number of collisions = Mu = 45.47
  4053.  
  4054.  
  4055. -----------------------------------------------
  4056. Results of CollisionOver test:
  4057.  
  4058. POISSON approximation :
  4059. Expected number of collisions = N*Mu : 1364.24
  4060. Observed number of collisions : 1400
  4061. p-value of test : 0.17
  4062.  
  4063. -----------------------------
  4064. Total number of cells containing j balls
  4065.  
  4066. j = 0 : 131940795334520
  4067. j = 1 : 599997200
  4068. j = 2 : 1400
  4069. j = 3 : 0
  4070. j = 4 : 0
  4071. j = 5 : 0
  4072.  
  4073. -----------------------------------------------
  4074. CPU time used : 00:05:02.98
  4075.  
  4076. Generator state:
  4077.  
  4078.  
  4079.  
  4080.  
  4081. ***********************************************************
  4082. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4083.  
  4084. ***********************************************************
  4085. HOST =
  4086.  
  4087. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4088.  
  4089.  
  4090. smultin_MultinomialOver test:
  4091. -----------------------------------------------
  4092. N = 30, n = 20000000, r = 0, d = 64, t = 7,
  4093. Sparse = TRUE
  4094.  
  4095. GenerCell = smultin_GenerCellSerial
  4096. Number of cells = d^t = 4398046511104
  4097. Expected number per cell = 1 / 219902.33
  4098. EColl = n^2 / (2k) = 45.47473509
  4099. Hashing = TRUE
  4100.  
  4101. Collision test
  4102.  
  4103. CollisionOver: density = n / k = 1 / 219902.33
  4104. Expected number of collisions = Mu = 45.47
  4105.  
  4106.  
  4107. -----------------------------------------------
  4108. Results of CollisionOver test:
  4109.  
  4110. POISSON approximation :
  4111. Expected number of collisions = N*Mu : 1364.24
  4112. Observed number of collisions : 1429
  4113. p-value of test : 0.04
  4114.  
  4115. -----------------------------
  4116. Total number of cells containing j balls
  4117.  
  4118. j = 0 : 131940795334549
  4119. j = 1 : 599997142
  4120. j = 2 : 1429
  4121. j = 3 : 0
  4122. j = 4 : 0
  4123. j = 5 : 0
  4124.  
  4125. -----------------------------------------------
  4126. CPU time used : 00:05:00.26
  4127.  
  4128. Generator state:
  4129.  
  4130.  
  4131.  
  4132.  
  4133. ***********************************************************
  4134. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4135.  
  4136. ***********************************************************
  4137. HOST =
  4138.  
  4139. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4140.  
  4141.  
  4142. smultin_MultinomialOver test:
  4143. -----------------------------------------------
  4144. N = 30, n = 20000000, r = 24, d = 64, t = 7,
  4145. Sparse = TRUE
  4146.  
  4147. GenerCell = smultin_GenerCellSerial
  4148. Number of cells = d^t = 4398046511104
  4149. Expected number per cell = 1 / 219902.33
  4150. EColl = n^2 / (2k) = 45.47473509
  4151. Hashing = TRUE
  4152.  
  4153. Collision test
  4154.  
  4155. CollisionOver: density = n / k = 1 / 219902.33
  4156. Expected number of collisions = Mu = 45.47
  4157.  
  4158.  
  4159. -----------------------------------------------
  4160. Results of CollisionOver test:
  4161.  
  4162. POISSON approximation :
  4163. Expected number of collisions = N*Mu : 1364.24
  4164. Observed number of collisions : 1358
  4165. p-value of test : 0.56
  4166.  
  4167. -----------------------------
  4168. Total number of cells containing j balls
  4169.  
  4170. j = 0 : 131940795334478
  4171. j = 1 : 599997284
  4172. j = 2 : 1358
  4173. j = 3 : 0
  4174. j = 4 : 0
  4175. j = 5 : 0
  4176.  
  4177. -----------------------------------------------
  4178. CPU time used : 00:05:51.32
  4179.  
  4180. Generator state:
  4181.  
  4182.  
  4183.  
  4184.  
  4185. ***********************************************************
  4186. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4187.  
  4188. ***********************************************************
  4189. HOST =
  4190.  
  4191. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4192.  
  4193.  
  4194. smultin_MultinomialOver test:
  4195. -----------------------------------------------
  4196. N = 30, n = 20000000, r = 0, d = 8, t = 14,
  4197. Sparse = TRUE
  4198.  
  4199. GenerCell = smultin_GenerCellSerial
  4200. Number of cells = d^t = 4398046511104
  4201. Expected number per cell = 1 / 219902.33
  4202. EColl = n^2 / (2k) = 45.47473509
  4203. Hashing = TRUE
  4204.  
  4205. Collision test
  4206.  
  4207. CollisionOver: density = n / k = 1 / 219902.33
  4208. Expected number of collisions = Mu = 45.47
  4209.  
  4210.  
  4211. -----------------------------------------------
  4212. Results of CollisionOver test:
  4213.  
  4214. POISSON approximation :
  4215. Expected number of collisions = N*Mu : 1364.24
  4216. Observed number of collisions : 1300
  4217. p-value of test : 0.96
  4218.  
  4219. -----------------------------
  4220. Total number of cells containing j balls
  4221.  
  4222. j = 0 : 131940795334420
  4223. j = 1 : 599997400
  4224. j = 2 : 1300
  4225. j = 3 : 0
  4226. j = 4 : 0
  4227. j = 5 : 0
  4228.  
  4229. -----------------------------------------------
  4230. CPU time used : 00:05:40.96
  4231.  
  4232. Generator state:
  4233.  
  4234.  
  4235.  
  4236.  
  4237. ***********************************************************
  4238. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4239.  
  4240. ***********************************************************
  4241. HOST =
  4242.  
  4243. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4244.  
  4245.  
  4246. smultin_MultinomialOver test:
  4247. -----------------------------------------------
  4248. N = 30, n = 20000000, r = 27, d = 8, t = 14,
  4249. Sparse = TRUE
  4250.  
  4251. GenerCell = smultin_GenerCellSerial
  4252. Number of cells = d^t = 4398046511104
  4253. Expected number per cell = 1 / 219902.33
  4254. EColl = n^2 / (2k) = 45.47473509
  4255. Hashing = TRUE
  4256.  
  4257. Collision test
  4258.  
  4259. CollisionOver: density = n / k = 1 / 219902.33
  4260. Expected number of collisions = Mu = 45.47
  4261.  
  4262.  
  4263. -----------------------------------------------
  4264. Results of CollisionOver test:
  4265.  
  4266. POISSON approximation :
  4267. Expected number of collisions = N*Mu : 1364.24
  4268. Observed number of collisions : 1387
  4269. p-value of test : 0.27
  4270.  
  4271. -----------------------------
  4272. Total number of cells containing j balls
  4273.  
  4274. j = 0 : 131940795334507
  4275. j = 1 : 599997226
  4276. j = 2 : 1387
  4277. j = 3 : 0
  4278. j = 4 : 0
  4279. j = 5 : 0
  4280.  
  4281. -----------------------------------------------
  4282. CPU time used : 00:05:42.43
  4283.  
  4284. Generator state:
  4285.  
  4286.  
  4287.  
  4288.  
  4289. ***********************************************************
  4290. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4291.  
  4292. ***********************************************************
  4293. HOST =
  4294.  
  4295. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4296.  
  4297.  
  4298. smultin_MultinomialOver test:
  4299. -----------------------------------------------
  4300. N = 30, n = 20000000, r = 0, d = 4, t = 21,
  4301. Sparse = TRUE
  4302.  
  4303. GenerCell = smultin_GenerCellSerial
  4304. Number of cells = d^t = 4398046511104
  4305. Expected number per cell = 1 / 219902.33
  4306. EColl = n^2 / (2k) = 45.47473509
  4307. Hashing = TRUE
  4308.  
  4309. Collision test
  4310.  
  4311. CollisionOver: density = n / k = 1 / 219902.33
  4312. Expected number of collisions = Mu = 45.47
  4313.  
  4314.  
  4315. -----------------------------------------------
  4316. Results of CollisionOver test:
  4317.  
  4318. POISSON approximation :
  4319. Expected number of collisions = N*Mu : 1364.24
  4320. Observed number of collisions : 1390
  4321. p-value of test : 0.25
  4322.  
  4323. -----------------------------
  4324. Total number of cells containing j balls
  4325.  
  4326. j = 0 : 131940795334510
  4327. j = 1 : 599997220
  4328. j = 2 : 1390
  4329. j = 3 : 0
  4330. j = 4 : 0
  4331. j = 5 : 0
  4332.  
  4333. -----------------------------------------------
  4334. CPU time used : 00:06:13.04
  4335.  
  4336. Generator state:
  4337.  
  4338.  
  4339.  
  4340.  
  4341. ***********************************************************
  4342. Test smarsa_CollisionOver calling smultin_MultinomialOver
  4343.  
  4344. ***********************************************************
  4345. HOST =
  4346.  
  4347. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4348.  
  4349.  
  4350. smultin_MultinomialOver test:
  4351. -----------------------------------------------
  4352. N = 30, n = 20000000, r = 28, d = 4, t = 21,
  4353. Sparse = TRUE
  4354.  
  4355. GenerCell = smultin_GenerCellSerial
  4356. Number of cells = d^t = 4398046511104
  4357. Expected number per cell = 1 / 219902.33
  4358. EColl = n^2 / (2k) = 45.47473509
  4359. Hashing = TRUE
  4360.  
  4361. Collision test
  4362.  
  4363. CollisionOver: density = n / k = 1 / 219902.33
  4364. Expected number of collisions = Mu = 45.47
  4365.  
  4366.  
  4367. -----------------------------------------------
  4368. Results of CollisionOver test:
  4369.  
  4370. POISSON approximation :
  4371. Expected number of collisions = N*Mu : 1364.24
  4372. Observed number of collisions : 1403
  4373. p-value of test : 0.15
  4374.  
  4375. -----------------------------
  4376. Total number of cells containing j balls
  4377.  
  4378. j = 0 : 131940795334523
  4379. j = 1 : 599997194
  4380. j = 2 : 1403
  4381. j = 3 : 0
  4382. j = 4 : 0
  4383. j = 5 : 0
  4384.  
  4385. -----------------------------------------------
  4386. CPU time used : 00:05:10.93
  4387.  
  4388. Generator state:
  4389.  
  4390.  
  4391.  
  4392.  
  4393. ***********************************************************
  4394. HOST =
  4395.  
  4396. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4397.  
  4398.  
  4399. smarsa_BirthdaySpacings test:
  4400. -----------------------------------------------
  4401. N = 250, n = 4000000, r = 0, d = 1073741824, t = 2, p = 1
  4402.  
  4403.  
  4404. Number of cells = d^t = 1152921504606846976
  4405. Lambda = Poisson mean = 13.8778
  4406.  
  4407.  
  4408. ----------------------------------------------------
  4409. Total expected number = N*Lambda : 3469.45
  4410. Total observed number : 3529
  4411. p-value of test : 0.16
  4412.  
  4413.  
  4414. -----------------------------------------------
  4415. CPU time used : 00:06:04.87
  4416.  
  4417. Generator state:
  4418.  
  4419.  
  4420.  
  4421.  
  4422. ***********************************************************
  4423. HOST =
  4424.  
  4425. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4426.  
  4427.  
  4428. smarsa_BirthdaySpacings test:
  4429. -----------------------------------------------
  4430. N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1
  4431.  
  4432.  
  4433. Number of cells = d^t = 9223372036854775808
  4434. Lambda = Poisson mean = 216.8404
  4435.  
  4436.  
  4437. ----------------------------------------------------
  4438. Total expected number = N*Lambda : 4336.81
  4439. Total observed number : 4466
  4440. p-value of test : 0.03
  4441.  
  4442.  
  4443. -----------------------------------------------
  4444. CPU time used : 00:02:49.79
  4445.  
  4446. Generator state:
  4447.  
  4448.  
  4449.  
  4450.  
  4451. ***********************************************************
  4452. HOST =
  4453.  
  4454. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4455.  
  4456.  
  4457. smarsa_BirthdaySpacings test:
  4458. -----------------------------------------------
  4459. N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1
  4460.  
  4461.  
  4462. Number of cells = d^t = 18446744073709551616
  4463. Lambda = Poisson mean = 365.9182
  4464.  
  4465.  
  4466. ----------------------------------------------------
  4467. Total expected number = N*Lambda : 7318.36
  4468. Total observed number : 7279
  4469. p-value of test : 0.67
  4470.  
  4471.  
  4472. -----------------------------------------------
  4473. CPU time used : 00:04:48.04
  4474.  
  4475. Generator state:
  4476.  
  4477.  
  4478.  
  4479.  
  4480. ***********************************************************
  4481. HOST =
  4482.  
  4483. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4484.  
  4485.  
  4486. smarsa_BirthdaySpacings test:
  4487. -----------------------------------------------
  4488. N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1
  4489.  
  4490.  
  4491. Number of cells = d^t = 9223372036854775808
  4492. Lambda = Poisson mean = 216.8404
  4493.  
  4494.  
  4495. ----------------------------------------------------
  4496. Total expected number = N*Lambda : 4336.81
  4497. Total observed number : 4319
  4498. p-value of test : 0.60
  4499.  
  4500.  
  4501. -----------------------------------------------
  4502. CPU time used : 00:03:42.81
  4503.  
  4504. Generator state:
  4505.  
  4506.  
  4507.  
  4508.  
  4509. ***********************************************************
  4510. HOST =
  4511.  
  4512. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4513.  
  4514.  
  4515. smarsa_BirthdaySpacings test:
  4516. -----------------------------------------------
  4517. N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1
  4518.  
  4519.  
  4520. Number of cells = d^t = 9223372036854775808
  4521. Lambda = Poisson mean = 216.8404
  4522.  
  4523.  
  4524. ----------------------------------------------------
  4525. Total expected number = N*Lambda : 4336.81
  4526. Total observed number : 4239
  4527. p-value of test : 0.93
  4528.  
  4529.  
  4530. -----------------------------------------------
  4531. CPU time used : 00:03:43.57
  4532.  
  4533. Generator state:
  4534.  
  4535.  
  4536.  
  4537.  
  4538. ***********************************************************
  4539. HOST =
  4540.  
  4541. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4542.  
  4543.  
  4544. smarsa_BirthdaySpacings test:
  4545. -----------------------------------------------
  4546. N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1
  4547.  
  4548.  
  4549. Number of cells = d^t = 18446744073709551616
  4550. Lambda = Poisson mean = 365.9182
  4551.  
  4552.  
  4553. ----------------------------------------------------
  4554. Total expected number = N*Lambda : 7318.36
  4555. Total observed number : 7419
  4556. p-value of test : 0.12
  4557.  
  4558.  
  4559. -----------------------------------------------
  4560. CPU time used : 00:05:56.31
  4561.  
  4562. Generator state:
  4563.  
  4564.  
  4565.  
  4566.  
  4567. ***********************************************************
  4568. HOST =
  4569.  
  4570. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4571.  
  4572.  
  4573. smarsa_BirthdaySpacings test:
  4574. -----------------------------------------------
  4575. N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1
  4576.  
  4577.  
  4578. Number of cells = d^t = 18446744073709551616
  4579. Lambda = Poisson mean = 365.9182
  4580.  
  4581.  
  4582. ----------------------------------------------------
  4583. Total expected number = N*Lambda : 7318.36
  4584. Total observed number : 7205
  4585. p-value of test : 0.91
  4586.  
  4587.  
  4588. -----------------------------------------------
  4589. CPU time used : 00:06:07.71
  4590.  
  4591. Generator state:
  4592.  
  4593.  
  4594.  
  4595.  
  4596. ***********************************************************
  4597. HOST =
  4598.  
  4599. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4600.  
  4601.  
  4602. smarsa_BirthdaySpacings test:
  4603. -----------------------------------------------
  4604. N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1
  4605.  
  4606.  
  4607. Number of cells = d^t = 18446744073709551616
  4608. Lambda = Poisson mean = 365.9182
  4609.  
  4610.  
  4611. ----------------------------------------------------
  4612. Total expected number = N*Lambda : 7318.36
  4613. Total observed number : 7286
  4614. p-value of test : 0.64
  4615.  
  4616.  
  4617. -----------------------------------------------
  4618. CPU time used : 00:08:34.54
  4619.  
  4620. Generator state:
  4621.  
  4622.  
  4623.  
  4624.  
  4625. ***********************************************************
  4626. HOST =
  4627.  
  4628. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4629.  
  4630.  
  4631. smarsa_BirthdaySpacings test:
  4632. -----------------------------------------------
  4633. N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1
  4634.  
  4635.  
  4636. Number of cells = d^t = 18446744073709551616
  4637. Lambda = Poisson mean = 365.9182
  4638.  
  4639.  
  4640. ----------------------------------------------------
  4641. Total expected number = N*Lambda : 7318.36
  4642. Total observed number : 7390
  4643. p-value of test : 0.20
  4644.  
  4645.  
  4646. -----------------------------------------------
  4647. CPU time used : 00:08:59.53
  4648.  
  4649. Generator state:
  4650.  
  4651.  
  4652.  
  4653.  
  4654. ***********************************************************
  4655. HOST =
  4656.  
  4657. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4658.  
  4659.  
  4660. snpair_ClosePairs test:
  4661. -----------------------------------------------
  4662. N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE
  4663.  
  4664.  
  4665. ---------------------------------------
  4666. Test based on the 2 nearest points (NP):
  4667.  
  4668. Stat. AD on the N values (NP) : 0.44
  4669. p-value of test : 0.80
  4670.  
  4671.  
  4672. A2 test based on the spacings between the
  4673. successive jump times of process Y_n(t):
  4674.  
  4675. A2 test on the values of A2 (m-NP) : 0.59
  4676. p-value of test : 0.65
  4677.  
  4678. Test on the Nm values of W_{n,i}(mNP1): 0.38
  4679. p-value of test : 0.87
  4680.  
  4681. Test on the jump times of Y
  4682. (superposition of Yn):
  4683.  
  4684. Expected number of jumps of Y = mN : 900
  4685. Number of jumps of Y : 894
  4686. p-value of test : 0.57
  4687.  
  4688. Stat. AD (mNP2) : 1.45
  4689. p-value of test : 0.19
  4690.  
  4691. Stat. AD after spacings (mNP2-S) : 1.26
  4692. p-value of test : 0.25
  4693.  
  4694. -----------------------------------------------
  4695. CPU time used : 00:02:55.56
  4696.  
  4697. Generator state:
  4698.  
  4699.  
  4700.  
  4701.  
  4702. ***********************************************************
  4703. HOST =
  4704.  
  4705. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4706.  
  4707.  
  4708. snpair_ClosePairs test:
  4709. -----------------------------------------------
  4710. N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE
  4711.  
  4712.  
  4713. ---------------------------------------
  4714. Test based on the 2 nearest points (NP):
  4715.  
  4716. Stat. AD on the N values (NP) : 0.47
  4717. p-value of test : 0.78
  4718.  
  4719.  
  4720. A2 test based on the spacings between the
  4721. successive jump times of process Y_n(t):
  4722.  
  4723. A2 test on the values of A2 (m-NP) : 0.50
  4724. p-value of test : 0.75
  4725.  
  4726. Test on the Nm values of W_{n,i}(mNP1): 1.61
  4727. p-value of test : 0.15
  4728.  
  4729. Test on the jump times of Y
  4730. (superposition of Yn):
  4731.  
  4732. Expected number of jumps of Y = mN : 600
  4733. Number of jumps of Y : 665
  4734. p-value of test : 4.7e-03
  4735.  
  4736. Stat. AD (mNP2) : 0.69
  4737. p-value of test : 0.57
  4738.  
  4739. Stat. AD after spacings (mNP2-S) : 0.40
  4740. p-value of test : 0.85
  4741.  
  4742. -----------------------------------------------
  4743. CPU time used : 00:02:10.64
  4744.  
  4745. Generator state:
  4746.  
  4747.  
  4748.  
  4749.  
  4750. ***********************************************************
  4751. HOST =
  4752.  
  4753. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4754.  
  4755.  
  4756. snpair_ClosePairs test:
  4757. -----------------------------------------------
  4758. N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE
  4759.  
  4760.  
  4761. ---------------------------------------
  4762. Test based on the 2 nearest points (NP):
  4763.  
  4764. Stat. AD on the N values (NP) : 0.80
  4765. p-value of test : 0.48
  4766.  
  4767.  
  4768. A2 test based on the spacings between the
  4769. successive jump times of process Y_n(t):
  4770.  
  4771. A2 test on the values of A2 (m-NP) : 0.83
  4772. p-value of test : 0.46
  4773.  
  4774. Test on the Nm values of W_{n,i}(mNP1): 0.33
  4775. p-value of test : 0.91
  4776.  
  4777. Test on the jump times of Y
  4778. (superposition of Yn):
  4779.  
  4780. Expected number of jumps of Y = mN : 300
  4781. Number of jumps of Y : 298
  4782. p-value of test : 0.53
  4783.  
  4784. Stat. AD (mNP2) : 1.24
  4785. p-value of test : 0.25
  4786.  
  4787. Stat. AD after spacings (mNP2-S) : 3.78
  4788. p-value of test : 0.01
  4789.  
  4790. -----------------------------------------------
  4791. CPU time used : 00:03:50.03
  4792.  
  4793. Generator state:
  4794.  
  4795.  
  4796.  
  4797.  
  4798. ***********************************************************
  4799. HOST =
  4800.  
  4801. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4802.  
  4803.  
  4804. snpair_ClosePairs test:
  4805. -----------------------------------------------
  4806. N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE
  4807.  
  4808.  
  4809. ---------------------------------------
  4810. Test based on the 2 nearest points (NP):
  4811.  
  4812. Stat. AD on the N values (NP) : 0.43
  4813. p-value of test : 0.81
  4814.  
  4815.  
  4816. A2 test based on the spacings between the
  4817. successive jump times of process Y_n(t):
  4818.  
  4819. A2 test on the values of A2 (m-NP) : 1.06
  4820. p-value of test : 0.32
  4821.  
  4822. Test on the Nm values of W_{n,i}(mNP1): 0.39
  4823. p-value of test : 0.86
  4824.  
  4825. Test on the jump times of Y
  4826. (superposition of Yn):
  4827.  
  4828. Expected number of jumps of Y = mN : 150
  4829. Number of jumps of Y : 138
  4830. p-value of test : 0.83
  4831.  
  4832. Stat. AD (mNP2) : 1.47
  4833. p-value of test : 0.18
  4834.  
  4835. Stat. AD after spacings (mNP2-S) : 0.18
  4836. p-value of test : 0.9949
  4837.  
  4838. -----------------------------------------------
  4839. CPU time used : 00:04:20.48
  4840.  
  4841. Generator state:
  4842.  
  4843.  
  4844.  
  4845.  
  4846. ***********************************************************
  4847. HOST =
  4848.  
  4849. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4850.  
  4851.  
  4852. sknuth_SimpPoker test:
  4853. -----------------------------------------------
  4854. N = 1, n = 400000000, r = 0, d = 8, k = 8
  4855.  
  4856.  
  4857. -----------------------------------------------
  4858. Number of degrees of freedom : 7
  4859. Chi-square statistic : 5.37
  4860. p-value of test : 0.61
  4861.  
  4862. -----------------------------------------------
  4863. CPU time used : 00:02:19.34
  4864.  
  4865. Generator state:
  4866.  
  4867.  
  4868.  
  4869.  
  4870. ***********************************************************
  4871. HOST =
  4872.  
  4873. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4874.  
  4875.  
  4876. sknuth_SimpPoker test:
  4877. -----------------------------------------------
  4878. N = 1, n = 400000000, r = 27, d = 8, k = 8
  4879.  
  4880.  
  4881. -----------------------------------------------
  4882. Number of degrees of freedom : 7
  4883. Chi-square statistic : 5.08
  4884. p-value of test : 0.65
  4885.  
  4886. -----------------------------------------------
  4887. CPU time used : 00:02:27.68
  4888.  
  4889. Generator state:
  4890.  
  4891.  
  4892.  
  4893.  
  4894. ***********************************************************
  4895. HOST =
  4896.  
  4897. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4898.  
  4899.  
  4900. sknuth_SimpPoker test:
  4901. -----------------------------------------------
  4902. N = 1, n = 100000000, r = 0, d = 32, k = 32
  4903.  
  4904.  
  4905. -----------------------------------------------
  4906. Number of degrees of freedom : 18
  4907. Chi-square statistic : 19.27
  4908. p-value of test : 0.38
  4909.  
  4910. -----------------------------------------------
  4911. CPU time used : 00:02:08.81
  4912.  
  4913. Generator state:
  4914.  
  4915.  
  4916.  
  4917.  
  4918. ***********************************************************
  4919. HOST =
  4920.  
  4921. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4922.  
  4923.  
  4924. sknuth_SimpPoker test:
  4925. -----------------------------------------------
  4926. N = 1, n = 100000000, r = 25, d = 32, k = 32
  4927.  
  4928.  
  4929. -----------------------------------------------
  4930. Number of degrees of freedom : 18
  4931. Chi-square statistic : 22.58
  4932. p-value of test : 0.21
  4933.  
  4934. -----------------------------------------------
  4935. CPU time used : 00:02:19.73
  4936.  
  4937. Generator state:
  4938.  
  4939.  
  4940.  
  4941.  
  4942. ***********************************************************
  4943. HOST =
  4944.  
  4945. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4946.  
  4947.  
  4948. sknuth_CouponCollector test:
  4949. -----------------------------------------------
  4950. N = 1, n = 200000000, r = 0, d = 8
  4951.  
  4952.  
  4953. -----------------------------------------------
  4954. Number of degrees of freedom : 54
  4955. Chi-square statistic : 39.51
  4956. p-value of test : 0.93
  4957.  
  4958. -----------------------------------------------
  4959. CPU time used : 00:02:45.95
  4960.  
  4961. Generator state:
  4962.  
  4963.  
  4964.  
  4965.  
  4966. ***********************************************************
  4967. HOST =
  4968.  
  4969. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4970.  
  4971.  
  4972. sknuth_CouponCollector test:
  4973. -----------------------------------------------
  4974. N = 1, n = 200000000, r = 10, d = 8
  4975.  
  4976.  
  4977. -----------------------------------------------
  4978. Number of degrees of freedom : 54
  4979. Chi-square statistic : 51.61
  4980. p-value of test : 0.57
  4981.  
  4982. -----------------------------------------------
  4983. CPU time used : 00:03:03.68
  4984.  
  4985. Generator state:
  4986.  
  4987.  
  4988.  
  4989.  
  4990. ***********************************************************
  4991. HOST =
  4992.  
  4993. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  4994.  
  4995.  
  4996. sknuth_CouponCollector test:
  4997. -----------------------------------------------
  4998. N = 1, n = 200000000, r = 20, d = 8
  4999.  
  5000.  
  5001. -----------------------------------------------
  5002. Number of degrees of freedom : 54
  5003. Chi-square statistic : 71.64
  5004. p-value of test : 0.05
  5005.  
  5006. -----------------------------------------------
  5007. CPU time used : 00:03:03.46
  5008.  
  5009. Generator state:
  5010.  
  5011.  
  5012.  
  5013.  
  5014. ***********************************************************
  5015. HOST =
  5016.  
  5017. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5018.  
  5019.  
  5020. sknuth_CouponCollector test:
  5021. -----------------------------------------------
  5022. N = 1, n = 200000000, r = 27, d = 8
  5023.  
  5024.  
  5025. -----------------------------------------------
  5026. Number of degrees of freedom : 54
  5027. Chi-square statistic : 43.28
  5028. p-value of test : 0.85
  5029.  
  5030. -----------------------------------------------
  5031. CPU time used : 00:03:08.23
  5032.  
  5033. Generator state:
  5034.  
  5035.  
  5036.  
  5037.  
  5038. ***********************************************************
  5039. HOST =
  5040.  
  5041. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5042.  
  5043.  
  5044. sknuth_Gap test:
  5045. -----------------------------------------------
  5046. N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625
  5047.  
  5048.  
  5049. -----------------------------------------------
  5050. Number of degrees of freedom : 232
  5051. Chi-square statistic : 250.24
  5052. p-value of test : 0.20
  5053.  
  5054. -----------------------------------------------
  5055. CPU time used : 00:04:01.79
  5056.  
  5057. Generator state:
  5058.  
  5059.  
  5060.  
  5061.  
  5062. ***********************************************************
  5063. HOST =
  5064.  
  5065. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5066.  
  5067.  
  5068. sknuth_Gap test:
  5069. -----------------------------------------------
  5070. N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
  5071.  
  5072.  
  5073. -----------------------------------------------
  5074. Number of degrees of freedom : 434
  5075. Chi-square statistic : 464.25
  5076. p-value of test : 0.15
  5077.  
  5078. -----------------------------------------------
  5079. CPU time used : 00:05:10.15
  5080.  
  5081. Generator state:
  5082.  
  5083.  
  5084.  
  5085.  
  5086. ***********************************************************
  5087. HOST =
  5088.  
  5089. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5090.  
  5091.  
  5092. sknuth_Gap test:
  5093. -----------------------------------------------
  5094. N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125
  5095.  
  5096.  
  5097. -----------------------------------------------
  5098. Number of degrees of freedom : 1437
  5099. Chi-square statistic : 1446.66
  5100. p-value of test : 0.42
  5101.  
  5102. -----------------------------------------------
  5103. CPU time used : 00:06:09.23
  5104.  
  5105. Generator state:
  5106.  
  5107.  
  5108.  
  5109.  
  5110. ***********************************************************
  5111. HOST =
  5112.  
  5113. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5114.  
  5115.  
  5116. sknuth_Gap test:
  5117. -----------------------------------------------
  5118. N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976563
  5119.  
  5120.  
  5121. -----------------------------------------------
  5122. Number of degrees of freedom : 7046
  5123. Chi-square statistic : 7034.25
  5124. p-value of test : 0.54
  5125.  
  5126. -----------------------------------------------
  5127. CPU time used : 00:05:31.78
  5128.  
  5129. Generator state:
  5130.  
  5131.  
  5132.  
  5133.  
  5134. ***********************************************************
  5135. HOST =
  5136.  
  5137. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5138.  
  5139.  
  5140. sknuth_Run test:
  5141. -----------------------------------------------
  5142. N = 5, n = 1000000000, r = 0, Up = FALSE
  5143.  
  5144.  
  5145. -----------------------------------------------
  5146.  
  5147. Kolmogorov-Smirnov+ statistic = D+ : 0.41
  5148. p-value of test : 0.14
  5149.  
  5150. Kolmogorov-Smirnov- statistic = D- : 0.016
  5151. p-value of test : 0.98
  5152.  
  5153. Anderson-Darling statistic = A2 : 1.65
  5154. p-value of test : 0.15
  5155.  
  5156. Test on the sum of all N observations
  5157. Number of degrees of freedom : 30
  5158. Chi-square statistic : 19.06
  5159. p-value of test : 0.94
  5160.  
  5161. -----------------------------------------------
  5162. CPU time used : 00:02:53.73
  5163.  
  5164. Generator state:
  5165.  
  5166.  
  5167.  
  5168.  
  5169. ***********************************************************
  5170. HOST =
  5171.  
  5172. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5173.  
  5174.  
  5175. sknuth_Run test:
  5176. -----------------------------------------------
  5177. N = 10, n = 1000000000, r = 15, Up = TRUE
  5178.  
  5179.  
  5180. -----------------------------------------------
  5181.  
  5182. Kolmogorov-Smirnov+ statistic = D+ : 0.22
  5183. p-value of test : 0.33
  5184.  
  5185. Kolmogorov-Smirnov- statistic = D- : 0.061
  5186. p-value of test : 0.90
  5187.  
  5188. Anderson-Darling statistic = A2 : 0.86
  5189. p-value of test : 0.44
  5190.  
  5191. Test on the sum of all N observations
  5192. Number of degrees of freedom : 60
  5193. Chi-square statistic : 48.50
  5194. p-value of test : 0.86
  5195.  
  5196. -----------------------------------------------
  5197. CPU time used : 00:06:24.09
  5198.  
  5199. Generator state:
  5200.  
  5201.  
  5202.  
  5203.  
  5204. ***********************************************************
  5205. Test sknuth_Permutation calling smultin_Multinomial
  5206.  
  5207. ***********************************************************
  5208. HOST =
  5209.  
  5210. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5211.  
  5212.  
  5213. smultin_Multinomial test:
  5214. -----------------------------------------------
  5215. N = 1, n = 1000000000, r = 5, t = 3,
  5216. Sparse = FALSE
  5217.  
  5218. GenerCell = smultin_GenerCellPermut
  5219. Number of cells = t! = 6
  5220. Expected number per cell = 1.6666667e+008
  5221. Hashing = FALSE
  5222.  
  5223. For Delta > -1, we use the ChiSquare approximation
  5224. Correction factor of the ChiSquare:
  5225. Delta = 1, Mu = 2.5000002e-009, Sigma = 1
  5226.  
  5227. -----------------------------------------------
  5228. Test Results for Delta = 1.0000
  5229.  
  5230. Number of degrees of freedom : 5
  5231. Value of the statistic : 6.24
  5232. p-value of test : 0.28
  5233.  
  5234.  
  5235. -----------------------------------------------
  5236. CPU time used : 00:01:50.12
  5237.  
  5238. Generator state:
  5239.  
  5240.  
  5241.  
  5242.  
  5243. ***********************************************************
  5244. Test sknuth_Permutation calling smultin_Multinomial
  5245.  
  5246. ***********************************************************
  5247. HOST =
  5248.  
  5249. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5250.  
  5251.  
  5252. smultin_Multinomial test:
  5253. -----------------------------------------------
  5254. N = 1, n = 1000000000, r = 5, t = 5,
  5255. Sparse = FALSE
  5256.  
  5257. GenerCell = smultin_GenerCellPermut
  5258. Number of cells = t! = 120
  5259. Expected number per cell = 8333333.3
  5260. Hashing = FALSE
  5261.  
  5262. For Delta > -1, we use the ChiSquare approximation
  5263. Correction factor of the ChiSquare:
  5264. Delta = 1, Mu = 5.9500005e-008, Sigma = 1
  5265.  
  5266. -----------------------------------------------
  5267. Test Results for Delta = 1.0000
  5268.  
  5269. Number of degrees of freedom : 119
  5270. Value of the statistic : 101.21
  5271. p-value of test : 0.88
  5272.  
  5273.  
  5274. -----------------------------------------------
  5275. CPU time used : 00:03:05.00
  5276.  
  5277. Generator state:
  5278.  
  5279.  
  5280.  
  5281.  
  5282. ***********************************************************
  5283. Test sknuth_Permutation calling smultin_Multinomial
  5284.  
  5285. ***********************************************************
  5286. HOST =
  5287.  
  5288. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5289.  
  5290.  
  5291. smultin_Multinomial test:
  5292. -----------------------------------------------
  5293. N = 1, n = 500000000, r = 5, t = 7,
  5294. Sparse = FALSE
  5295.  
  5296. GenerCell = smultin_GenerCellPermut
  5297. Number of cells = t! = 5040
  5298. Expected number per cell = 99206.349
  5299. Hashing = FALSE
  5300.  
  5301. For Delta > -1, we use the ChiSquare approximation
  5302. Correction factor of the ChiSquare:
  5303. Delta = 1, Mu = 5.0390004e-006, Sigma = 1
  5304.  
  5305. -----------------------------------------------
  5306. Test Results for Delta = 1.0000
  5307.  
  5308. Number of degrees of freedom : 5039
  5309. Value of the statistic : 5077.42
  5310. p-value of test : 0.35
  5311.  
  5312.  
  5313. -----------------------------------------------
  5314. CPU time used : 00:02:17.57
  5315.  
  5316. Generator state:
  5317.  
  5318.  
  5319.  
  5320.  
  5321. ***********************************************************
  5322. Test sknuth_Permutation calling smultin_Multinomial
  5323.  
  5324. ***********************************************************
  5325. HOST =
  5326.  
  5327. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5328.  
  5329.  
  5330. smultin_Multinomial test:
  5331. -----------------------------------------------
  5332. N = 1, n = 500000000, r = 10, t = 10,
  5333. Sparse = FALSE
  5334.  
  5335. GenerCell = smultin_GenerCellPermut
  5336. Number of cells = t! = 3628800
  5337. Expected number per cell = 137.7866
  5338. Hashing = FALSE
  5339.  
  5340. For Delta > -1, we use the ChiSquare approximation
  5341. Correction factor of the ChiSquare:
  5342. Delta = 1, Mu = 0.0036287993, Sigma = 1
  5343.  
  5344. -----------------------------------------------
  5345. Test Results for Delta = 1.0000
  5346.  
  5347. Number of degrees of freedom : 3628799
  5348. Value of the statistic : 3.63e+06
  5349. p-value of test : 0.53
  5350.  
  5351.  
  5352. -----------------------------------------------
  5353. CPU time used : 00:04:24.56
  5354.  
  5355. Generator state:
  5356.  
  5357.  
  5358.  
  5359.  
  5360. ***********************************************************
  5361. Test sknuth_CollisionPermut calling smultin_Multinomial
  5362.  
  5363. ***********************************************************
  5364. HOST =
  5365.  
  5366. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5367.  
  5368.  
  5369. smultin_Multinomial test:
  5370. -----------------------------------------------
  5371. N = 20, n = 20000000, r = 0, t = 14,
  5372. Sparse = TRUE
  5373.  
  5374. GenerCell = smultin_GenerCellPermut
  5375. Number of cells = t! = 87178291200
  5376. Expected number per cell = 1 / 4358.9146
  5377. EColl = n^2 / (2k) = 2294.14912
  5378. Hashing = TRUE
  5379.  
  5380. Collision test, Mu = 2293.9736, Sigma = 47.8841
  5381.  
  5382. -----------------------------------------------
  5383. Test Results for Collisions
  5384.  
  5385. For the total number of collisions, we use
  5386. the Poisson approximation:
  5387. Expected number of collisions = N*Mu : 45879.47
  5388. Observed number of collisions : 46079
  5389. p-value of test : 0.18
  5390.  
  5391.  
  5392. -----------------------------
  5393. Total number of cells containing j balls
  5394.  
  5395. j = 0 : 1743165870079
  5396. j = 1 : 399907845
  5397. j = 2 : 46073
  5398. j = 3 : 3
  5399. j = 4 : 0
  5400. j = 5 : 0
  5401.  
  5402. -----------------------------------------------
  5403. CPU time used : 00:05:47.10
  5404.  
  5405. Generator state:
  5406.  
  5407.  
  5408.  
  5409.  
  5410. ***********************************************************
  5411. Test sknuth_CollisionPermut calling smultin_Multinomial
  5412.  
  5413. ***********************************************************
  5414. HOST =
  5415.  
  5416. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5417.  
  5418.  
  5419. smultin_Multinomial test:
  5420. -----------------------------------------------
  5421. N = 20, n = 20000000, r = 10, t = 14,
  5422. Sparse = TRUE
  5423.  
  5424. GenerCell = smultin_GenerCellPermut
  5425. Number of cells = t! = 87178291200
  5426. Expected number per cell = 1 / 4358.9146
  5427. EColl = n^2 / (2k) = 2294.14912
  5428. Hashing = TRUE
  5429.  
  5430. Collision test, Mu = 2293.9736, Sigma = 47.8841
  5431.  
  5432. -----------------------------------------------
  5433. Test Results for Collisions
  5434.  
  5435. For the total number of collisions, we use
  5436. the Poisson approximation:
  5437. Expected number of collisions = N*Mu : 45879.47
  5438. Observed number of collisions : 45681
  5439. p-value of test : 0.82
  5440.  
  5441.  
  5442. -----------------------------
  5443. Total number of cells containing j balls
  5444.  
  5445. j = 0 : 1743165869681
  5446. j = 1 : 399908639
  5447. j = 2 : 45679
  5448. j = 3 : 1
  5449. j = 4 : 0
  5450. j = 5 : 0
  5451.  
  5452. -----------------------------------------------
  5453. CPU time used : 00:06:25.31
  5454.  
  5455. Generator state:
  5456.  
  5457.  
  5458.  
  5459.  
  5460. ***********************************************************
  5461. HOST =
  5462.  
  5463. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5464.  
  5465.  
  5466. sknuth_MaxOft test:
  5467. -----------------------------------------------
  5468. N = 40, n = 10000000, r = 0, d = 100000, t = 8
  5469.  
  5470. Number of categories = 100000
  5471. Expected number per category = 100.00
  5472.  
  5473.  
  5474. -----------------------------------------------
  5475. Test results for chi2 with 99999 degrees of freedom:
  5476.  
  5477. Kolmogorov-Smirnov+ statistic = D+ : 0.079
  5478. p-value of test : 0.58
  5479.  
  5480. Kolmogorov-Smirnov- statistic = D- : 0.095
  5481. p-value of test : 0.46
  5482.  
  5483. Anderson-Darling statistic = A2 : 0.42
  5484. p-value of test : 0.83
  5485.  
  5486. Test on the sum of all N observations
  5487. Number of degrees of freedom : 3999960
  5488. Chi-square statistic : 4.00e+06
  5489. p-value of test : 0.36
  5490.  
  5491.  
  5492. -----------------------------------------------
  5493. Test results for Anderson-Darling:
  5494.  
  5495. Kolmogorov-Smirnov+ statistic = D+ : 0.13
  5496. p-value of test : 0.26
  5497.  
  5498. Kolmogorov-Smirnov- statistic = D- : 0.051
  5499. p-value of test : 0.79
  5500.  
  5501. Anderson-Darling statistic = A2 : 0.91
  5502. p-value of test : 0.41
  5503.  
  5504.  
  5505. -----------------------------------------------
  5506. CPU time used : 00:04:09.87
  5507.  
  5508. Generator state:
  5509.  
  5510.  
  5511.  
  5512.  
  5513. ***********************************************************
  5514. HOST =
  5515.  
  5516. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5517.  
  5518.  
  5519. sknuth_MaxOft test:
  5520. -----------------------------------------------
  5521. N = 30, n = 10000000, r = 0, d = 100000, t = 16
  5522.  
  5523. Number of categories = 100000
  5524. Expected number per category = 100.00
  5525.  
  5526.  
  5527. -----------------------------------------------
  5528. Test results for chi2 with 99999 degrees of freedom:
  5529.  
  5530. Kolmogorov-Smirnov+ statistic = D+ : 0.25
  5531. p-value of test : 0.02
  5532.  
  5533. Kolmogorov-Smirnov- statistic = D- : 0.044
  5534. p-value of test : 0.86
  5535.  
  5536. Anderson-Darling statistic = A2 : 2.90
  5537. p-value of test : 0.03
  5538.  
  5539. Test on the sum of all N observations
  5540. Number of degrees of freedom : 2999970
  5541. Chi-square statistic : 3.00e+06
  5542. p-value of test : 0.98
  5543.  
  5544.  
  5545. -----------------------------------------------
  5546. Test results for Anderson-Darling:
  5547.  
  5548. Kolmogorov-Smirnov+ statistic = D+ : 0.13
  5549. p-value of test : 0.32
  5550.  
  5551. Kolmogorov-Smirnov- statistic = D- : 0.082
  5552. p-value of test : 0.63
  5553.  
  5554. Anderson-Darling statistic = A2 : 0.66
  5555. p-value of test : 0.59
  5556.  
  5557.  
  5558. -----------------------------------------------
  5559. CPU time used : 00:04:20.04
  5560.  
  5561. Generator state:
  5562.  
  5563.  
  5564.  
  5565.  
  5566. ***********************************************************
  5567. HOST =
  5568.  
  5569. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5570.  
  5571.  
  5572. sknuth_MaxOft test:
  5573. -----------------------------------------------
  5574. N = 20, n = 10000000, r = 0, d = 100000, t = 24
  5575.  
  5576. Number of categories = 100000
  5577. Expected number per category = 100.00
  5578.  
  5579.  
  5580. -----------------------------------------------
  5581. Test results for chi2 with 99999 degrees of freedom:
  5582.  
  5583. Kolmogorov-Smirnov+ statistic = D+ : 0.11
  5584. p-value of test : 0.55
  5585.  
  5586. Kolmogorov-Smirnov- statistic = D- : 0.061
  5587. p-value of test : 0.83
  5588.  
  5589. Anderson-Darling statistic = A2 : 0.32
  5590. p-value of test : 0.92
  5591.  
  5592. Test on the sum of all N observations
  5593. Number of degrees of freedom : 1999980
  5594. Chi-square statistic : 2.00e+06
  5595. p-value of test : 0.66
  5596.  
  5597.  
  5598. -----------------------------------------------
  5599. Test results for Anderson-Darling:
  5600.  
  5601. Kolmogorov-Smirnov+ statistic = D+ : 0.20
  5602. p-value of test : 0.19
  5603.  
  5604. Kolmogorov-Smirnov- statistic = D- : 0.15
  5605. p-value of test : 0.35
  5606.  
  5607. Anderson-Darling statistic = A2 : 1.01
  5608. p-value of test : 0.35
  5609.  
  5610.  
  5611. -----------------------------------------------
  5612. CPU time used : 00:03:44.26
  5613.  
  5614. Generator state:
  5615.  
  5616.  
  5617.  
  5618.  
  5619. ***********************************************************
  5620. HOST =
  5621.  
  5622. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5623.  
  5624.  
  5625. sknuth_MaxOft test:
  5626. -----------------------------------------------
  5627. N = 20, n = 10000000, r = 0, d = 100000, t = 32
  5628.  
  5629. Number of categories = 100000
  5630. Expected number per category = 100.00
  5631.  
  5632.  
  5633. -----------------------------------------------
  5634. Test results for chi2 with 99999 degrees of freedom:
  5635.  
  5636. Kolmogorov-Smirnov+ statistic = D+ : 0.13
  5637. p-value of test : 0.47
  5638.  
  5639. Kolmogorov-Smirnov- statistic = D- : 0.14
  5640. p-value of test : 0.43
  5641.  
  5642. Anderson-Darling statistic = A2 : 0.82
  5643. p-value of test : 0.47
  5644.  
  5645. Test on the sum of all N observations
  5646. Number of degrees of freedom : 1999980
  5647. Chi-square statistic : 2.00e+06
  5648. p-value of test : 0.53
  5649.  
  5650.  
  5651. -----------------------------------------------
  5652. Test results for Anderson-Darling:
  5653.  
  5654. Kolmogorov-Smirnov+ statistic = D+ : 0.12
  5655. p-value of test : 0.51
  5656.  
  5657. Kolmogorov-Smirnov- statistic = D- : 0.032
  5658. p-value of test : 0.94
  5659.  
  5660. Anderson-Darling statistic = A2 : 0.40
  5661. p-value of test : 0.85
  5662.  
  5663.  
  5664. -----------------------------------------------
  5665. CPU time used : 00:04:26.17
  5666.  
  5667. Generator state:
  5668.  
  5669.  
  5670.  
  5671.  
  5672. ***********************************************************
  5673. HOST =
  5674.  
  5675. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5676.  
  5677.  
  5678. svaria_SampleProd test:
  5679. -----------------------------------------------
  5680. N = 40, n = 10000000, r = 0, t = 8
  5681.  
  5682.  
  5683. -----------------------------------------------
  5684.  
  5685. Kolmogorov-Smirnov+ statistic = D+ : 0.043
  5686. p-value of test : 0.84
  5687.  
  5688. Kolmogorov-Smirnov- statistic = D- : 0.15
  5689. p-value of test : 0.13
  5690.  
  5691. Anderson-Darling statistic = A2 : 1.36
  5692. p-value of test : 0.21
  5693.  
  5694. -----------------------------------------------
  5695. CPU time used : 00:03:40.65
  5696.  
  5697. Generator state:
  5698.  
  5699.  
  5700.  
  5701.  
  5702. ***********************************************************
  5703. HOST =
  5704.  
  5705. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5706.  
  5707.  
  5708. svaria_SampleProd test:
  5709. -----------------------------------------------
  5710. N = 20, n = 10000000, r = 0, t = 16
  5711.  
  5712.  
  5713. -----------------------------------------------
  5714.  
  5715. Kolmogorov-Smirnov+ statistic = D+ : 0.16
  5716. p-value of test : 0.31
  5717.  
  5718. Kolmogorov-Smirnov- statistic = D- : 0.24
  5719. p-value of test : 0.09
  5720.  
  5721. Anderson-Darling statistic = A2 : 1.29
  5722. p-value of test : 0.24
  5723.  
  5724. -----------------------------------------------
  5725. CPU time used : 00:02:47.40
  5726.  
  5727. Generator state:
  5728.  
  5729.  
  5730.  
  5731.  
  5732. ***********************************************************
  5733. HOST =
  5734.  
  5735. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5736.  
  5737.  
  5738. svaria_SampleProd test:
  5739. -----------------------------------------------
  5740. N = 20, n = 10000000, r = 0, t = 24
  5741.  
  5742.  
  5743. -----------------------------------------------
  5744.  
  5745. Kolmogorov-Smirnov+ statistic = D+ : 0.063
  5746. p-value of test : 0.82
  5747.  
  5748. Kolmogorov-Smirnov- statistic = D- : 0.18
  5749. p-value of test : 0.26
  5750.  
  5751. Anderson-Darling statistic = A2 : 0.87
  5752. p-value of test : 0.43
  5753.  
  5754. -----------------------------------------------
  5755. CPU time used : 00:03:35.37
  5756.  
  5757. Generator state:
  5758.  
  5759.  
  5760.  
  5761.  
  5762. ***********************************************************
  5763. HOST =
  5764.  
  5765. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5766.  
  5767.  
  5768. svaria_SampleMean test:
  5769. -----------------------------------------------
  5770. N = 20000000, n = 30, r = 0
  5771.  
  5772.  
  5773. -----------------------------------------------
  5774.  
  5775. Kolmogorov-Smirnov+ statistic = D+ : 8.29e-05
  5776. p-value of test : 0.76
  5777.  
  5778. Kolmogorov-Smirnov- statistic = D- : 1.81e-04
  5779. p-value of test : 0.27
  5780.  
  5781. Anderson-Darling statistic = A2 : 0.71
  5782. p-value of test : 0.55
  5783.  
  5784. -----------------------------------------------
  5785. CPU time used : 00:00:34.06
  5786.  
  5787. Generator state:
  5788.  
  5789.  
  5790.  
  5791.  
  5792. ***********************************************************
  5793. HOST =
  5794.  
  5795. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5796.  
  5797.  
  5798. svaria_SampleMean test:
  5799. -----------------------------------------------
  5800. N = 20000000, n = 30, r = 10
  5801.  
  5802.  
  5803. -----------------------------------------------
  5804.  
  5805. Kolmogorov-Smirnov+ statistic = D+ : 1.56e-04
  5806. p-value of test : 0.38
  5807.  
  5808. Kolmogorov-Smirnov- statistic = D- : 1.66e-04
  5809. p-value of test : 0.33
  5810.  
  5811. Anderson-Darling statistic = A2 : 0.68
  5812. p-value of test : 0.58
  5813.  
  5814. -----------------------------------------------
  5815. CPU time used : 00:00:35.09
  5816.  
  5817. Generator state:
  5818.  
  5819.  
  5820.  
  5821.  
  5822. ***********************************************************
  5823. HOST =
  5824.  
  5825. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5826.  
  5827.  
  5828. svaria_SampleCorr test:
  5829. -----------------------------------------------
  5830. N = 1, n = 2000000000, r = 0, k = 1
  5831.  
  5832.  
  5833. -----------------------------------------------
  5834. Normal statistic : -0.98
  5835. p-value of test : 0.84
  5836.  
  5837. -----------------------------------------------
  5838. CPU time used : 00:01:05.87
  5839.  
  5840. Generator state:
  5841.  
  5842.  
  5843.  
  5844.  
  5845. ***********************************************************
  5846. HOST =
  5847.  
  5848. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5849.  
  5850.  
  5851. svaria_SampleCorr test:
  5852. -----------------------------------------------
  5853. N = 1, n = 2000000000, r = 0, k = 2
  5854.  
  5855.  
  5856. -----------------------------------------------
  5857. Normal statistic : 0.60
  5858. p-value of test : 0.28
  5859.  
  5860. -----------------------------------------------
  5861. CPU time used : 00:01:05.73
  5862.  
  5863. Generator state:
  5864.  
  5865.  
  5866.  
  5867.  
  5868. ***********************************************************
  5869. HOST =
  5870.  
  5871. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5872.  
  5873.  
  5874. svaria_AppearanceSpacings test:
  5875. -----------------------------------------------
  5876. N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15
  5877.  
  5878. Sequences of n = (K + Q)L = 15150000000 bits
  5879. Q = 10000000 initialization blocks
  5880. K = 1000000000 blocks for the test
  5881. the blocks have L = 15 bits
  5882.  
  5883.  
  5884.  
  5885. -----------------------------------------------
  5886. Normal statistic : -0.19
  5887. p-value of test : 0.57
  5888.  
  5889. -----------------------------------------------
  5890. CPU time used : 00:03:26.03
  5891.  
  5892. Generator state:
  5893.  
  5894.  
  5895.  
  5896.  
  5897. ***********************************************************
  5898. HOST =
  5899.  
  5900. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5901.  
  5902.  
  5903. svaria_AppearanceSpacings test:
  5904. -----------------------------------------------
  5905. N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15
  5906.  
  5907. Sequences of n = (K + Q)L = 15150000000 bits
  5908. Q = 10000000 initialization blocks
  5909. K = 1000000000 blocks for the test
  5910. the blocks have L = 15 bits
  5911.  
  5912.  
  5913.  
  5914. -----------------------------------------------
  5915. Normal statistic : 0.80
  5916. p-value of test : 0.21
  5917.  
  5918. -----------------------------------------------
  5919. CPU time used : 00:03:37.50
  5920.  
  5921. Generator state:
  5922.  
  5923.  
  5924.  
  5925.  
  5926. ***********************************************************
  5927. HOST =
  5928.  
  5929. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5930.  
  5931.  
  5932. svaria_WeightDistrib test:
  5933. -----------------------------------------------
  5934. N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25
  5935.  
  5936.  
  5937. -----------------------------------------------
  5938. Number of degrees of freedom : 67
  5939. Chi-square statistic : 52.67
  5940. p-value of test : 0.90
  5941.  
  5942. -----------------------------------------------
  5943. CPU time used : 00:02:24.01
  5944.  
  5945. Generator state:
  5946.  
  5947.  
  5948.  
  5949.  
  5950. ***********************************************************
  5951. HOST =
  5952.  
  5953. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5954.  
  5955.  
  5956. svaria_WeightDistrib test:
  5957. -----------------------------------------------
  5958. N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25
  5959.  
  5960.  
  5961. -----------------------------------------------
  5962. Number of degrees of freedom : 67
  5963. Chi-square statistic : 80.76
  5964. p-value of test : 0.12
  5965.  
  5966. -----------------------------------------------
  5967. CPU time used : 00:02:33.29
  5968.  
  5969. Generator state:
  5970.  
  5971.  
  5972.  
  5973.  
  5974. ***********************************************************
  5975. HOST =
  5976.  
  5977. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  5978.  
  5979.  
  5980. svaria_WeightDistrib test:
  5981. -----------------------------------------------
  5982. N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25
  5983.  
  5984.  
  5985. -----------------------------------------------
  5986. Number of degrees of freedom : 67
  5987. Chi-square statistic : 54.16
  5988. p-value of test : 0.87
  5989.  
  5990. -----------------------------------------------
  5991. CPU time used : 00:02:34.01
  5992.  
  5993. Generator state:
  5994.  
  5995.  
  5996.  
  5997.  
  5998. ***********************************************************
  5999. HOST =
  6000.  
  6001. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6002.  
  6003.  
  6004. svaria_WeightDistrib test:
  6005. -----------------------------------------------
  6006. N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625
  6007.  
  6008.  
  6009. -----------------------------------------------
  6010. Number of degrees of freedom : 37
  6011. Chi-square statistic : 27.35
  6012. p-value of test : 0.88
  6013.  
  6014. -----------------------------------------------
  6015. CPU time used : 00:02:18.95
  6016.  
  6017. Generator state:
  6018.  
  6019.  
  6020.  
  6021.  
  6022. ***********************************************************
  6023. HOST =
  6024.  
  6025. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6026.  
  6027.  
  6028. svaria_WeightDistrib test:
  6029. -----------------------------------------------
  6030. N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625
  6031.  
  6032.  
  6033. -----------------------------------------------
  6034. Number of degrees of freedom : 37
  6035. Chi-square statistic : 27.28
  6036. p-value of test : 0.88
  6037.  
  6038. -----------------------------------------------
  6039. CPU time used : 00:02:34.14
  6040.  
  6041. Generator state:
  6042.  
  6043.  
  6044.  
  6045.  
  6046. ***********************************************************
  6047. HOST =
  6048.  
  6049. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6050.  
  6051.  
  6052. svaria_WeightDistrib test:
  6053. -----------------------------------------------
  6054. N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625
  6055.  
  6056.  
  6057. -----------------------------------------------
  6058. Number of degrees of freedom : 37
  6059. Chi-square statistic : 25.42
  6060. p-value of test : 0.93
  6061.  
  6062. -----------------------------------------------
  6063. CPU time used : 00:02:38.14
  6064.  
  6065. Generator state:
  6066.  
  6067.  
  6068.  
  6069.  
  6070. ***********************************************************
  6071. HOST =
  6072.  
  6073. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6074.  
  6075.  
  6076. svaria_SumCollector test:
  6077. -----------------------------------------------
  6078. N = 1, n = 500000000, r = 0, g = 10
  6079.  
  6080.  
  6081. -----------------------------------------------
  6082. Number of degrees of freedom : 29
  6083. Chi-square statistic : 32.67
  6084. p-value of test : 0.29
  6085.  
  6086. -----------------------------------------------
  6087. CPU time used : 00:04:55.54
  6088.  
  6089. Generator state:
  6090.  
  6091.  
  6092.  
  6093.  
  6094. ***********************************************************
  6095. HOST =
  6096.  
  6097. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6098.  
  6099.  
  6100. smarsa_MatrixRank test:
  6101. -----------------------------------------------
  6102. N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30
  6103.  
  6104.  
  6105. -----------------------------------------------
  6106.  
  6107. Kolmogorov-Smirnov+ statistic = D+ : 0.38
  6108. p-value of test : 0.04
  6109.  
  6110. Kolmogorov-Smirnov- statistic = D- : 0.033
  6111. p-value of test : 0.96
  6112.  
  6113. Anderson-Darling statistic = A2 : 1.65
  6114. p-value of test : 0.14
  6115.  
  6116. Test on the sum of all N observations
  6117. Number of degrees of freedom : 40
  6118. Chi-square statistic : 25.37
  6119. p-value of test : 0.97
  6120.  
  6121. -----------------------------------------------
  6122. CPU time used : 00:02:02.03
  6123.  
  6124. Generator state:
  6125.  
  6126.  
  6127.  
  6128.  
  6129. ***********************************************************
  6130. HOST =
  6131.  
  6132. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6133.  
  6134.  
  6135. smarsa_MatrixRank test:
  6136. -----------------------------------------------
  6137. N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30
  6138.  
  6139.  
  6140. -----------------------------------------------
  6141.  
  6142. Kolmogorov-Smirnov+ statistic = D+ : 0.18
  6143. p-value of test : 0.48
  6144.  
  6145. Kolmogorov-Smirnov- statistic = D- : 0.12
  6146. p-value of test : 0.69
  6147.  
  6148. Anderson-Darling statistic = A2 : 0.27
  6149. p-value of test : 0.96
  6150.  
  6151. Test on the sum of all N observations
  6152. Number of degrees of freedom : 40
  6153. Chi-square statistic : 40.43
  6154. p-value of test : 0.45
  6155.  
  6156. -----------------------------------------------
  6157. CPU time used : 00:02:00.75
  6158.  
  6159. Generator state:
  6160.  
  6161.  
  6162.  
  6163.  
  6164. ***********************************************************
  6165. HOST =
  6166.  
  6167. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6168.  
  6169.  
  6170. smarsa_MatrixRank test:
  6171. -----------------------------------------------
  6172. N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000
  6173.  
  6174.  
  6175. -----------------------------------------------
  6176. Number of degrees of freedom : 3
  6177. Chi-square statistic : 1.85
  6178. p-value of test : 0.61
  6179.  
  6180. -----------------------------------------------
  6181. CPU time used : 00:02:32.10
  6182.  
  6183. Generator state:
  6184.  
  6185.  
  6186.  
  6187.  
  6188. ***********************************************************
  6189. HOST =
  6190.  
  6191. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6192.  
  6193.  
  6194. smarsa_MatrixRank test:
  6195. -----------------------------------------------
  6196. N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000
  6197.  
  6198.  
  6199. -----------------------------------------------
  6200. Number of degrees of freedom : 3
  6201. Chi-square statistic : 0.56
  6202. p-value of test : 0.90
  6203.  
  6204. -----------------------------------------------
  6205. CPU time used : 00:02:34.18
  6206.  
  6207. Generator state:
  6208.  
  6209.  
  6210.  
  6211.  
  6212. ***********************************************************
  6213. HOST =
  6214.  
  6215. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6216.  
  6217.  
  6218. smarsa_MatrixRank test:
  6219. -----------------------------------------------
  6220. N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000
  6221.  
  6222.  
  6223. -----------------------------------------------
  6224. Number of degrees of freedom : 2
  6225. Chi-square statistic : 0.77
  6226. p-value of test : 0.68
  6227.  
  6228. -----------------------------------------------
  6229. CPU time used : 00:01:14.76
  6230.  
  6231. Generator state:
  6232.  
  6233.  
  6234.  
  6235.  
  6236. ***********************************************************
  6237. HOST =
  6238.  
  6239. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6240.  
  6241.  
  6242. smarsa_MatrixRank test:
  6243. -----------------------------------------------
  6244. N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000
  6245.  
  6246.  
  6247. -----------------------------------------------
  6248. Number of degrees of freedom : 2
  6249. Chi-square statistic : 2.01
  6250. p-value of test : 0.37
  6251.  
  6252. -----------------------------------------------
  6253. CPU time used : 00:01:02.15
  6254.  
  6255. Generator state:
  6256.  
  6257.  
  6258.  
  6259.  
  6260. ***********************************************************
  6261. HOST =
  6262.  
  6263. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6264.  
  6265.  
  6266. smarsa_Savir2 test:
  6267. -----------------------------------------------
  6268. N = 10, n = 10000000, r = 10, m = 1048576, t = 30
  6269.  
  6270.  
  6271. -----------------------------------------------
  6272.  
  6273. Kolmogorov-Smirnov+ statistic = D+ : 0.20
  6274. p-value of test : 0.40
  6275.  
  6276. Kolmogorov-Smirnov- statistic = D- : 0.17
  6277. p-value of test : 0.49
  6278.  
  6279. Anderson-Darling statistic = A2 : 0.55
  6280. p-value of test : 0.69
  6281.  
  6282. Test on the sum of all N observations
  6283. Number of degrees of freedom : 130
  6284. Chi-square statistic : 123.18
  6285. p-value of test : 0.65
  6286.  
  6287. -----------------------------------------------
  6288. CPU time used : 00:01:37.90
  6289.  
  6290. Generator state:
  6291.  
  6292.  
  6293.  
  6294.  
  6295. ***********************************************************
  6296. HOST =
  6297.  
  6298. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6299.  
  6300.  
  6301. smarsa_GCD test:
  6302. -----------------------------------------------
  6303. N = 10, n = 50000000, r = 0, s = 30
  6304.  
  6305.  
  6306. -----------------------------------------------
  6307. Test results for GCD values:
  6308.  
  6309. Kolmogorov-Smirnov+ statistic = D+ : 0.050
  6310. p-value of test : 0.92
  6311.  
  6312. Kolmogorov-Smirnov- statistic = D- : 0.14
  6313. p-value of test : 0.61
  6314.  
  6315. Anderson-Darling statistic = A2 : 0.30
  6316. p-value of test : 0.94
  6317.  
  6318. Test on the sum of all N observations
  6319. Number of degrees of freedom : 17430
  6320. Chi-square statistic :17539.99
  6321. p-value of test : 0.28
  6322.  
  6323.  
  6324.  
  6325. -----------------------------------------------
  6326. CPU time used : 00:02:10.98
  6327.  
  6328. Generator state:
  6329.  
  6330.  
  6331.  
  6332.  
  6333. ***********************************************************
  6334. HOST =
  6335.  
  6336. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6337.  
  6338.  
  6339. swalk_RandomWalk1 test:
  6340. -----------------------------------------------
  6341. N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50
  6342.  
  6343.  
  6344.  
  6345. -----------------------------------------------
  6346. Test on the values of the Statistic H
  6347.  
  6348. Number of degrees of freedom : 36
  6349. ChiSquare statistic : 23.81
  6350. p-value of test : 0.94
  6351.  
  6352.  
  6353. -----------------------------------------------
  6354. Test on the values of the Statistic M
  6355.  
  6356. Number of degrees of freedom : 35
  6357. ChiSquare statistic : 28.43
  6358. p-value of test : 0.78
  6359.  
  6360.  
  6361. -----------------------------------------------
  6362. Test on the values of the Statistic J
  6363.  
  6364. Number of degrees of freedom : 25
  6365. ChiSquare statistic : 36.31
  6366. p-value of test : 0.07
  6367.  
  6368.  
  6369. -----------------------------------------------
  6370. Test on the values of the Statistic R
  6371.  
  6372. Number of degrees of freedom : 24
  6373. ChiSquare statistic : 23.76
  6374. p-value of test : 0.48
  6375.  
  6376.  
  6377. -----------------------------------------------
  6378. Test on the values of the Statistic C
  6379.  
  6380. Number of degrees of freedom : 17
  6381. ChiSquare statistic : 16.68
  6382. p-value of test : 0.48
  6383.  
  6384.  
  6385. -----------------------------------------------
  6386. CPU time used : 00:01:13.87
  6387.  
  6388. Generator state:
  6389.  
  6390.  
  6391.  
  6392.  
  6393. ***********************************************************
  6394. HOST =
  6395.  
  6396. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6397.  
  6398.  
  6399. swalk_RandomWalk1 test:
  6400. -----------------------------------------------
  6401. N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50
  6402.  
  6403.  
  6404.  
  6405. -----------------------------------------------
  6406. Test on the values of the Statistic H
  6407.  
  6408. Number of degrees of freedom : 36
  6409. ChiSquare statistic : 33.15
  6410. p-value of test : 0.60
  6411.  
  6412.  
  6413. -----------------------------------------------
  6414. Test on the values of the Statistic M
  6415.  
  6416. Number of degrees of freedom : 35
  6417. ChiSquare statistic : 35.02
  6418. p-value of test : 0.47
  6419.  
  6420.  
  6421. -----------------------------------------------
  6422. Test on the values of the Statistic J
  6423.  
  6424. Number of degrees of freedom : 25
  6425. ChiSquare statistic : 32.11
  6426. p-value of test : 0.15
  6427.  
  6428.  
  6429. -----------------------------------------------
  6430. Test on the values of the Statistic R
  6431.  
  6432. Number of degrees of freedom : 24
  6433. ChiSquare statistic : 18.30
  6434. p-value of test : 0.79
  6435.  
  6436.  
  6437. -----------------------------------------------
  6438. Test on the values of the Statistic C
  6439.  
  6440. Number of degrees of freedom : 17
  6441. ChiSquare statistic : 12.01
  6442. p-value of test : 0.80
  6443.  
  6444.  
  6445. -----------------------------------------------
  6446. CPU time used : 00:01:14.23
  6447.  
  6448. Generator state:
  6449.  
  6450.  
  6451.  
  6452.  
  6453. ***********************************************************
  6454. HOST =
  6455.  
  6456. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6457.  
  6458.  
  6459. swalk_RandomWalk1 test:
  6460. -----------------------------------------------
  6461. N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000
  6462.  
  6463.  
  6464.  
  6465. -----------------------------------------------
  6466. Test on the values of the Statistic H
  6467.  
  6468. Number of degrees of freedom : 146
  6469. ChiSquare statistic : 144.91
  6470. p-value of test : 0.51
  6471.  
  6472.  
  6473. -----------------------------------------------
  6474. Test on the values of the Statistic M
  6475.  
  6476. Number of degrees of freedom : 146
  6477. ChiSquare statistic : 156.64
  6478. p-value of test : 0.26
  6479.  
  6480.  
  6481. -----------------------------------------------
  6482. Test on the values of the Statistic J
  6483.  
  6484. Number of degrees of freedom : 500
  6485. ChiSquare statistic : 514.83
  6486. p-value of test : 0.31
  6487.  
  6488.  
  6489. -----------------------------------------------
  6490. Test on the values of the Statistic R
  6491.  
  6492. Number of degrees of freedom : 136
  6493. ChiSquare statistic : 149.67
  6494. p-value of test : 0.20
  6495.  
  6496.  
  6497. -----------------------------------------------
  6498. Test on the values of the Statistic C
  6499.  
  6500. Number of degrees of freedom : 74
  6501. ChiSquare statistic : 99.66
  6502. p-value of test : 0.03
  6503.  
  6504.  
  6505. -----------------------------------------------
  6506. CPU time used : 00:01:29.20
  6507.  
  6508. Generator state:
  6509.  
  6510.  
  6511.  
  6512.  
  6513. ***********************************************************
  6514. HOST =
  6515.  
  6516. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6517.  
  6518.  
  6519. swalk_RandomWalk1 test:
  6520. -----------------------------------------------
  6521. N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000
  6522.  
  6523.  
  6524.  
  6525. -----------------------------------------------
  6526. Test on the values of the Statistic H
  6527.  
  6528. Number of degrees of freedom : 146
  6529. ChiSquare statistic : 148.27
  6530. p-value of test : 0.43
  6531.  
  6532.  
  6533. -----------------------------------------------
  6534. Test on the values of the Statistic M
  6535.  
  6536. Number of degrees of freedom : 146
  6537. ChiSquare statistic : 148.70
  6538. p-value of test : 0.42
  6539.  
  6540.  
  6541. -----------------------------------------------
  6542. Test on the values of the Statistic J
  6543.  
  6544. Number of degrees of freedom : 500
  6545. ChiSquare statistic : 513.74
  6546. p-value of test : 0.33
  6547.  
  6548.  
  6549. -----------------------------------------------
  6550. Test on the values of the Statistic R
  6551.  
  6552. Number of degrees of freedom : 136
  6553. ChiSquare statistic : 133.43
  6554. p-value of test : 0.55
  6555.  
  6556.  
  6557. -----------------------------------------------
  6558. Test on the values of the Statistic C
  6559.  
  6560. Number of degrees of freedom : 74
  6561. ChiSquare statistic : 52.45
  6562. p-value of test : 0.97
  6563.  
  6564.  
  6565. -----------------------------------------------
  6566. CPU time used : 00:01:29.17
  6567.  
  6568. Generator state:
  6569.  
  6570.  
  6571.  
  6572.  
  6573. ***********************************************************
  6574. HOST =
  6575.  
  6576. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6577.  
  6578.  
  6579. swalk_RandomWalk1 test:
  6580. -----------------------------------------------
  6581. N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000
  6582.  
  6583.  
  6584.  
  6585. -----------------------------------------------
  6586. Test on the values of the Statistic H
  6587.  
  6588. Number of degrees of freedom : 384
  6589. ChiSquare statistic : 361.43
  6590. p-value of test : 0.79
  6591.  
  6592.  
  6593. -----------------------------------------------
  6594. Test on the values of the Statistic M
  6595.  
  6596. Number of degrees of freedom : 384
  6597. ChiSquare statistic : 442.99
  6598. p-value of test : 0.02
  6599.  
  6600.  
  6601. -----------------------------------------------
  6602. Test on the values of the Statistic J
  6603.  
  6604. Number of degrees of freedom : 5000
  6605. ChiSquare statistic : 5033.79
  6606. p-value of test : 0.37
  6607.  
  6608.  
  6609. -----------------------------------------------
  6610. Test on the values of the Statistic R
  6611.  
  6612. Number of degrees of freedom : 378
  6613. ChiSquare statistic : 368.18
  6614. p-value of test : 0.63
  6615.  
  6616.  
  6617. -----------------------------------------------
  6618. Test on the values of the Statistic C
  6619.  
  6620. Number of degrees of freedom : 200
  6621. ChiSquare statistic : 221.62
  6622. p-value of test : 0.14
  6623.  
  6624.  
  6625. -----------------------------------------------
  6626. CPU time used : 00:01:13.28
  6627.  
  6628. Generator state:
  6629.  
  6630.  
  6631.  
  6632.  
  6633. ***********************************************************
  6634. HOST =
  6635.  
  6636. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6637.  
  6638.  
  6639. swalk_RandomWalk1 test:
  6640. -----------------------------------------------
  6641. N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000
  6642.  
  6643.  
  6644.  
  6645. -----------------------------------------------
  6646. Test on the values of the Statistic H
  6647.  
  6648. Number of degrees of freedom : 384
  6649. ChiSquare statistic : 375.28
  6650. p-value of test : 0.62
  6651.  
  6652.  
  6653. -----------------------------------------------
  6654. Test on the values of the Statistic M
  6655.  
  6656. Number of degrees of freedom : 384
  6657. ChiSquare statistic : 380.32
  6658. p-value of test : 0.54
  6659.  
  6660.  
  6661. -----------------------------------------------
  6662. Test on the values of the Statistic J
  6663.  
  6664. Number of degrees of freedom : 5000
  6665. ChiSquare statistic : 5114.34
  6666. p-value of test : 0.13
  6667.  
  6668.  
  6669. -----------------------------------------------
  6670. Test on the values of the Statistic R
  6671.  
  6672. Number of degrees of freedom : 378
  6673. ChiSquare statistic : 344.05
  6674. p-value of test : 0.89
  6675.  
  6676.  
  6677. -----------------------------------------------
  6678. Test on the values of the Statistic C
  6679.  
  6680. Number of degrees of freedom : 200
  6681. ChiSquare statistic : 214.94
  6682. p-value of test : 0.22
  6683.  
  6684.  
  6685. -----------------------------------------------
  6686. CPU time used : 00:01:15.03
  6687.  
  6688. Generator state:
  6689.  
  6690.  
  6691.  
  6692.  
  6693. ***********************************************************
  6694. HOST =
  6695.  
  6696. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6697.  
  6698.  
  6699. scomp_LinearComp test:
  6700. -----------------------------------------------
  6701. N = 1, n = 400020, r = 0, s = 1
  6702.  
  6703.  
  6704.  
  6705. -----------------------------------------------
  6706. Number of degrees of freedom : 12
  6707. Chi2 statistic for size of jumps : 16.21
  6708. p-value of test : 0.18
  6709.  
  6710.  
  6711. -----------------------------------------------
  6712. Normal statistic for number of jumps : 0.75
  6713. p-value of test : 0.23
  6714.  
  6715.  
  6716.  
  6717. -----------------------------------------------
  6718. CPU time used : 00:01:04.85
  6719.  
  6720. Generator state:
  6721.  
  6722.  
  6723.  
  6724.  
  6725. ***********************************************************
  6726. HOST =
  6727.  
  6728. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6729.  
  6730.  
  6731. scomp_LinearComp test:
  6732. -----------------------------------------------
  6733. N = 1, n = 400020, r = 29, s = 1
  6734.  
  6735.  
  6736.  
  6737. -----------------------------------------------
  6738. Number of degrees of freedom : 12
  6739. Chi2 statistic for size of jumps : 5.78
  6740. p-value of test : 0.93
  6741.  
  6742.  
  6743. -----------------------------------------------
  6744. Normal statistic for number of jumps : 1.54
  6745. p-value of test : 0.06
  6746.  
  6747.  
  6748.  
  6749. -----------------------------------------------
  6750. CPU time used : 00:01:04.57
  6751.  
  6752. Generator state:
  6753.  
  6754.  
  6755.  
  6756.  
  6757. ***********************************************************
  6758. HOST =
  6759.  
  6760. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6761.  
  6762.  
  6763. scomp_LempelZiv test:
  6764. -----------------------------------------------
  6765. N = 10, n = 134217728, r = 0, s = 30, k = 27
  6766.  
  6767.  
  6768. -----------------------------------------------
  6769.  
  6770. Kolmogorov-Smirnov+ statistic = D+ : 0.15
  6771. p-value of test : 0.57
  6772.  
  6773. Kolmogorov-Smirnov- statistic = D- : 0.38
  6774. p-value of test : 0.04
  6775.  
  6776. Anderson-Darling statistic = A2 : 1.42
  6777. p-value of test : 0.20
  6778.  
  6779. Tests on the sum of all N observations
  6780. Standardized normal statistic : 0.85
  6781. p-value of test : 0.20
  6782.  
  6783. Sample variance : 1.40
  6784. p-value of test : 0.18
  6785.  
  6786. -----------------------------------------------
  6787. CPU time used : 00:01:32.79
  6788.  
  6789. Generator state:
  6790.  
  6791.  
  6792.  
  6793.  
  6794. ***********************************************************
  6795. HOST =
  6796.  
  6797. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6798.  
  6799.  
  6800. scomp_LempelZiv test:
  6801. -----------------------------------------------
  6802. N = 10, n = 134217728, r = 15, s = 15, k = 27
  6803.  
  6804.  
  6805. -----------------------------------------------
  6806.  
  6807. Kolmogorov-Smirnov+ statistic = D+ : 0.43
  6808. p-value of test : 0.02
  6809.  
  6810. Kolmogorov-Smirnov- statistic = D- : 0.25
  6811. p-value of test : 0.26
  6812.  
  6813. Anderson-Darling statistic = A2 : 2.60
  6814. p-value of test : 0.05
  6815.  
  6816. Tests on the sum of all N observations
  6817. Standardized normal statistic : -0.97
  6818. p-value of test : 0.83
  6819.  
  6820. Sample variance : 0.074
  6821. p-value of test : 0.9999 *****
  6822.  
  6823. -----------------------------------------------
  6824. CPU time used : 00:01:32.59
  6825.  
  6826. Generator state:
  6827.  
  6828.  
  6829.  
  6830.  
  6831. ***********************************************************
  6832. HOST =
  6833.  
  6834. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6835.  
  6836.  
  6837. sspectral_Fourier3 test:
  6838. -----------------------------------------------
  6839. N = 100000, n = 16384, r = 0, s = 3, k = 14
  6840.  
  6841.  
  6842. -----------------------------------------------
  6843.  
  6844. Kolmogorov-Smirnov+ statistic = D+ : 6.18e-03
  6845. p-value of test : 0.73
  6846.  
  6847. Kolmogorov-Smirnov- statistic = D- : 0.015
  6848. p-value of test : 0.16
  6849.  
  6850. Anderson-Darling statistic = A2 : 0.66
  6851. p-value of test : 0.59
  6852.  
  6853. -----------------------------------------------
  6854. CPU time used : 00:00:57.21
  6855.  
  6856. Generator state:
  6857.  
  6858.  
  6859.  
  6860.  
  6861. ***********************************************************
  6862. HOST =
  6863.  
  6864. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6865.  
  6866.  
  6867. sspectral_Fourier3 test:
  6868. -----------------------------------------------
  6869. N = 100000, n = 16384, r = 27, s = 3, k = 14
  6870.  
  6871.  
  6872. -----------------------------------------------
  6873.  
  6874. Kolmogorov-Smirnov+ statistic = D+ : 2.74e-03
  6875. p-value of test : 0.94
  6876.  
  6877. Kolmogorov-Smirnov- statistic = D- : 0.015
  6878. p-value of test : 0.15
  6879.  
  6880. Anderson-Darling statistic = A2 : 0.89
  6881. p-value of test : 0.42
  6882.  
  6883. -----------------------------------------------
  6884. CPU time used : 00:00:58.21
  6885.  
  6886. Generator state:
  6887.  
  6888.  
  6889.  
  6890.  
  6891. ***********************************************************
  6892. HOST =
  6893.  
  6894. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6895.  
  6896.  
  6897. sstring_LongestHeadRun test:
  6898. -----------------------------------------------
  6899. N = 1, n = 1000, r = 0, s = 3, L = 10000020
  6900.  
  6901.  
  6902. -----------------------------------------------
  6903. Number of degrees of freedom : 8
  6904. Chi-square statistic : 17.15
  6905. p-value of test : 0.03
  6906.  
  6907. -----------------------------------------------
  6908. Global longest run of 1 : 30.00
  6909. p-value of test : 0.90
  6910.  
  6911.  
  6912.  
  6913. -----------------------------------------------
  6914. CPU time used : 00:02:50.81
  6915.  
  6916. Generator state:
  6917.  
  6918.  
  6919.  
  6920.  
  6921. ***********************************************************
  6922. HOST =
  6923.  
  6924. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6925.  
  6926.  
  6927. sstring_LongestHeadRun test:
  6928. -----------------------------------------------
  6929. N = 1, n = 1000, r = 27, s = 3, L = 10000020
  6930.  
  6931.  
  6932. -----------------------------------------------
  6933. Number of degrees of freedom : 8
  6934. Chi-square statistic : 11.64
  6935. p-value of test : 0.17
  6936.  
  6937. -----------------------------------------------
  6938. Global longest run of 1 : 34.00
  6939. p-value of test : 0.25
  6940.  
  6941.  
  6942.  
  6943. -----------------------------------------------
  6944. CPU time used : 00:02:57.26
  6945.  
  6946. Generator state:
  6947.  
  6948.  
  6949.  
  6950.  
  6951. ***********************************************************
  6952. HOST =
  6953.  
  6954. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6955.  
  6956.  
  6957. sstring_PeriodsInStrings test:
  6958. -----------------------------------------------
  6959. N = 10, n = 500000000, r = 0, s = 10
  6960.  
  6961.  
  6962. -----------------------------------------------
  6963.  
  6964. Kolmogorov-Smirnov+ statistic = D+ : 0.12
  6965. p-value of test : 0.68
  6966.  
  6967. Kolmogorov-Smirnov- statistic = D- : 0.16
  6968. p-value of test : 0.54
  6969.  
  6970. Anderson-Darling statistic = A2 : 0.27
  6971. p-value of test : 0.96
  6972.  
  6973. Test on the sum of all N observations
  6974. Number of degrees of freedom : 200
  6975. Chi-square statistic : 204.79
  6976. p-value of test : 0.39
  6977.  
  6978. -----------------------------------------------
  6979. CPU time used : 00:04:49.60
  6980.  
  6981. Generator state:
  6982.  
  6983.  
  6984.  
  6985.  
  6986. ***********************************************************
  6987. HOST =
  6988.  
  6989. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  6990.  
  6991.  
  6992. sstring_PeriodsInStrings test:
  6993. -----------------------------------------------
  6994. N = 10, n = 500000000, r = 20, s = 10
  6995.  
  6996.  
  6997. -----------------------------------------------
  6998.  
  6999. Kolmogorov-Smirnov+ statistic = D+ : 0.14
  7000. p-value of test : 0.62
  7001.  
  7002. Kolmogorov-Smirnov- statistic = D- : 0.21
  7003. p-value of test : 0.37
  7004.  
  7005. Anderson-Darling statistic = A2 : 0.57
  7006. p-value of test : 0.68
  7007.  
  7008. Test on the sum of all N observations
  7009. Number of degrees of freedom : 200
  7010. Chi-square statistic : 212.86
  7011. p-value of test : 0.25
  7012.  
  7013. -----------------------------------------------
  7014. CPU time used : 00:04:48.56
  7015.  
  7016. Generator state:
  7017.  
  7018.  
  7019.  
  7020.  
  7021. ***********************************************************
  7022. HOST =
  7023.  
  7024. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7025.  
  7026.  
  7027. sstring_HammingWeight2 test:
  7028. -----------------------------------------------
  7029. N = 10, n = 1000000000, r = 0, s = 3, L = 1000000
  7030.  
  7031.  
  7032. -----------------------------------------------
  7033.  
  7034. Kolmogorov-Smirnov+ statistic = D+ : 0.058
  7035. p-value of test : 0.90
  7036.  
  7037. Kolmogorov-Smirnov- statistic = D- : 0.24
  7038. p-value of test : 0.27
  7039.  
  7040. Anderson-Darling statistic = A2 : 0.69
  7041. p-value of test : 0.56
  7042.  
  7043. Test on the sum of all N observations
  7044. Number of degrees of freedom : 10000
  7045. Chi-square statistic :10119.37
  7046. p-value of test : 0.20
  7047.  
  7048. -----------------------------------------------
  7049. CPU time used : 00:02:00.87
  7050.  
  7051. Generator state:
  7052.  
  7053.  
  7054.  
  7055.  
  7056. ***********************************************************
  7057. HOST =
  7058.  
  7059. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7060.  
  7061.  
  7062. sstring_HammingWeight2 test:
  7063. -----------------------------------------------
  7064. N = 10, n = 1000000000, r = 27, s = 3, L = 1000000
  7065.  
  7066.  
  7067. -----------------------------------------------
  7068.  
  7069. Kolmogorov-Smirnov+ statistic = D+ : 0.18
  7070. p-value of test : 0.48
  7071.  
  7072. Kolmogorov-Smirnov- statistic = D- : 0.24
  7073. p-value of test : 0.28
  7074.  
  7075. Anderson-Darling statistic = A2 : 0.73
  7076. p-value of test : 0.53
  7077.  
  7078. Test on the sum of all N observations
  7079. Number of degrees of freedom : 10000
  7080. Chi-square statistic :10086.52
  7081. p-value of test : 0.27
  7082.  
  7083. -----------------------------------------------
  7084. CPU time used : 00:02:04.28
  7085.  
  7086. Generator state:
  7087.  
  7088.  
  7089.  
  7090.  
  7091. ***********************************************************
  7092. HOST =
  7093.  
  7094. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7095.  
  7096.  
  7097. sstring_HammingCorr test:
  7098. -----------------------------------------------
  7099. N = 1, n = 1000000000, r = 10, s = 10, L = 30
  7100.  
  7101.  
  7102.  
  7103. -----------------------------------------------
  7104. Normal statistic : -0.42
  7105. p-value of test : 0.66
  7106.  
  7107. -----------------------------------------------
  7108. CPU time used : 00:02:07.18
  7109.  
  7110. Generator state:
  7111.  
  7112.  
  7113.  
  7114.  
  7115. ***********************************************************
  7116. HOST =
  7117.  
  7118. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7119.  
  7120.  
  7121. sstring_HammingCorr test:
  7122. -----------------------------------------------
  7123. N = 1, n = 100000000, r = 10, s = 10, L = 300
  7124.  
  7125.  
  7126.  
  7127. -----------------------------------------------
  7128. Normal statistic : -0.18
  7129. p-value of test : 0.57
  7130.  
  7131. -----------------------------------------------
  7132. CPU time used : 00:02:08.92
  7133.  
  7134. Generator state:
  7135.  
  7136.  
  7137.  
  7138.  
  7139. ***********************************************************
  7140. HOST =
  7141.  
  7142. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7143.  
  7144.  
  7145. sstring_HammingCorr test:
  7146. -----------------------------------------------
  7147. N = 1, n = 100000000, r = 10, s = 10, L = 1200
  7148.  
  7149.  
  7150.  
  7151. -----------------------------------------------
  7152. Normal statistic : -0.89
  7153. p-value of test : 0.81
  7154.  
  7155. -----------------------------------------------
  7156. CPU time used : 00:08:42.48
  7157.  
  7158. Generator state:
  7159.  
  7160.  
  7161.  
  7162.  
  7163. ***********************************************************
  7164. HOST =
  7165.  
  7166. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7167.  
  7168.  
  7169. sstring_HammingIndep test:
  7170. -----------------------------------------------
  7171. N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0
  7172.  
  7173.  
  7174.  
  7175. Counters with expected numbers >= 10
  7176. -----------------------------------------------
  7177.  
  7178. Kolmogorov-Smirnov+ statistic = D+ : 0.22
  7179. p-value of test : 0.33
  7180.  
  7181. Kolmogorov-Smirnov- statistic = D- : 0.18
  7182. p-value of test : 0.46
  7183.  
  7184. Anderson-Darling statistic = A2 : 0.78
  7185. p-value of test : 0.49
  7186.  
  7187. Test on the sum of all N observations
  7188. Number of degrees of freedom : 4890
  7189. Chi-square statistic : 4843.18
  7190. p-value of test : 0.68
  7191.  
  7192. -----------------------------------------------
  7193. CPU time used : 00:03:48.40
  7194.  
  7195. Generator state:
  7196.  
  7197.  
  7198.  
  7199.  
  7200. ***********************************************************
  7201. HOST =
  7202.  
  7203. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7204.  
  7205.  
  7206. sstring_HammingIndep test:
  7207. -----------------------------------------------
  7208. N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0
  7209.  
  7210.  
  7211.  
  7212. Counters with expected numbers >= 10
  7213. -----------------------------------------------
  7214.  
  7215. Kolmogorov-Smirnov+ statistic = D+ : 0.24
  7216. p-value of test : 0.27
  7217.  
  7218. Kolmogorov-Smirnov- statistic = D- : 0.18
  7219. p-value of test : 0.47
  7220.  
  7221. Anderson-Darling statistic = A2 : 0.70
  7222. p-value of test : 0.56
  7223.  
  7224. Test on the sum of all N observations
  7225. Number of degrees of freedom : 4890
  7226. Chi-square statistic : 4877.69
  7227. p-value of test : 0.55
  7228.  
  7229. -----------------------------------------------
  7230. CPU time used : 00:03:58.01
  7231.  
  7232. Generator state:
  7233.  
  7234.  
  7235.  
  7236.  
  7237. ***********************************************************
  7238. HOST =
  7239.  
  7240. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7241.  
  7242.  
  7243. sstring_HammingIndep test:
  7244. -----------------------------------------------
  7245. N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0
  7246.  
  7247.  
  7248.  
  7249. Counters with expected numbers >= 10
  7250. -----------------------------------------------
  7251. Number of degrees of freedom : 4117
  7252. Chi-square statistic : 4122.05
  7253. p-value of test : 0.47
  7254.  
  7255. -----------------------------------------------
  7256. CPU time used : 00:02:49.67
  7257.  
  7258. Generator state:
  7259.  
  7260.  
  7261.  
  7262.  
  7263. ***********************************************************
  7264. HOST =
  7265.  
  7266. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7267.  
  7268.  
  7269. sstring_HammingIndep test:
  7270. -----------------------------------------------
  7271. N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0
  7272.  
  7273.  
  7274.  
  7275. Counters with expected numbers >= 10
  7276. -----------------------------------------------
  7277. Number of degrees of freedom : 4117
  7278. Chi-square statistic : 4273.08
  7279. p-value of test : 0.04
  7280.  
  7281. -----------------------------------------------
  7282. CPU time used : 00:02:56.87
  7283.  
  7284. Generator state:
  7285.  
  7286.  
  7287.  
  7288.  
  7289. ***********************************************************
  7290. HOST =
  7291.  
  7292. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7293.  
  7294.  
  7295. sstring_HammingIndep test:
  7296. -----------------------------------------------
  7297. N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0
  7298.  
  7299.  
  7300.  
  7301. Counters with expected numbers >= 10
  7302. -----------------------------------------------
  7303. Number of degrees of freedom : 11825
  7304. Chi-square statistic :11794.87
  7305. p-value of test : 0.58
  7306.  
  7307. -----------------------------------------------
  7308. CPU time used : 00:03:04.43
  7309.  
  7310. Generator state:
  7311.  
  7312.  
  7313.  
  7314.  
  7315. ***********************************************************
  7316. HOST =
  7317.  
  7318. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7319.  
  7320.  
  7321. sstring_HammingIndep test:
  7322. -----------------------------------------------
  7323. N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0
  7324.  
  7325.  
  7326.  
  7327. Counters with expected numbers >= 10
  7328. -----------------------------------------------
  7329. Number of degrees of freedom : 11825
  7330. Chi-square statistic :11973.70
  7331. p-value of test : 0.17
  7332.  
  7333. -----------------------------------------------
  7334. CPU time used : 00:03:10.57
  7335.  
  7336. Generator state:
  7337.  
  7338.  
  7339.  
  7340.  
  7341. ***********************************************************
  7342. HOST =
  7343.  
  7344. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7345.  
  7346.  
  7347. sstring_Run test:
  7348. -----------------------------------------------
  7349. N = 1, n = 2000000000, r = 0, s = 3
  7350.  
  7351.  
  7352. -----------------------------------------------
  7353. Total number of 1 runs: 2000000000
  7354.  
  7355. Number of degrees of freedom : 54
  7356. Chi2 statistic for number of runs : 66.51
  7357. p-value of test : 0.12
  7358.  
  7359.  
  7360. -----------------------------------------------
  7361. Total number of bits: 7999852113
  7362.  
  7363. Normal statistic for number of bits : -1.17
  7364. p-value of test : 0.88
  7365.  
  7366.  
  7367.  
  7368. -----------------------------------------------
  7369. CPU time used : 00:02:16.65
  7370.  
  7371. Generator state:
  7372.  
  7373.  
  7374.  
  7375.  
  7376. ***********************************************************
  7377. HOST =
  7378.  
  7379. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7380.  
  7381.  
  7382. sstring_Run test:
  7383. -----------------------------------------------
  7384. N = 1, n = 2000000000, r = 27, s = 3
  7385.  
  7386.  
  7387. -----------------------------------------------
  7388. Total number of 1 runs: 2000000000
  7389.  
  7390. Number of degrees of freedom : 54
  7391. Chi2 statistic for number of runs : 46.96
  7392. p-value of test : 0.74
  7393.  
  7394.  
  7395. -----------------------------------------------
  7396. Total number of bits: 7999967244
  7397.  
  7398. Normal statistic for number of bits : -0.26
  7399. p-value of test : 0.60
  7400.  
  7401.  
  7402.  
  7403. -----------------------------------------------
  7404. CPU time used : 00:02:19.81
  7405.  
  7406. Generator state:
  7407.  
  7408.  
  7409.  
  7410.  
  7411. ***********************************************************
  7412. HOST =
  7413.  
  7414. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7415.  
  7416.  
  7417. sstring_AutoCor test:
  7418. -----------------------------------------------
  7419. N = 10, n = 1000000030, r = 0, s = 3, d = 1
  7420.  
  7421.  
  7422. -----------------------------------------------
  7423.  
  7424. Kolmogorov-Smirnov+ statistic = D+ : 0.36
  7425. p-value of test : 0.06
  7426.  
  7427. Kolmogorov-Smirnov- statistic = D- : 0.059
  7428. p-value of test : 0.90
  7429.  
  7430. Anderson-Darling statistic = A2 : 1.75
  7431. p-value of test : 0.13
  7432.  
  7433. Tests on the sum of all N observations
  7434. Standardized normal statistic : -1.68
  7435. p-value of test : 0.95
  7436.  
  7437. Sample variance : 0.61
  7438. p-value of test : 0.79
  7439.  
  7440. -----------------------------------------------
  7441. CPU time used : 00:03:23.95
  7442.  
  7443. Generator state:
  7444.  
  7445.  
  7446.  
  7447.  
  7448. ***********************************************************
  7449. HOST =
  7450.  
  7451. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7452.  
  7453.  
  7454. sstring_AutoCor test:
  7455. -----------------------------------------------
  7456. N = 10, n = 1000000029, r = 0, s = 3, d = 3
  7457.  
  7458.  
  7459. -----------------------------------------------
  7460.  
  7461. Kolmogorov-Smirnov+ statistic = D+ : 0.26
  7462. p-value of test : 0.22
  7463.  
  7464. Kolmogorov-Smirnov- statistic = D- : 0.28
  7465. p-value of test : 0.18
  7466.  
  7467. Anderson-Darling statistic = A2 : 1.23
  7468. p-value of test : 0.25
  7469.  
  7470. Tests on the sum of all N observations
  7471. Standardized normal statistic : 0.23
  7472. p-value of test : 0.41
  7473.  
  7474. Sample variance : 0.20
  7475. p-value of test : 0.9946
  7476.  
  7477. -----------------------------------------------
  7478. CPU time used : 00:02:59.84
  7479.  
  7480. Generator state:
  7481.  
  7482.  
  7483.  
  7484.  
  7485. ***********************************************************
  7486. HOST =
  7487.  
  7488. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7489.  
  7490.  
  7491. sstring_AutoCor test:
  7492. -----------------------------------------------
  7493. N = 10, n = 1000000030, r = 27, s = 3, d = 1
  7494.  
  7495.  
  7496. -----------------------------------------------
  7497.  
  7498. Kolmogorov-Smirnov+ statistic = D+ : 0.016
  7499. p-value of test : 0.98
  7500.  
  7501. Kolmogorov-Smirnov- statistic = D- : 0.30
  7502. p-value of test : 0.14
  7503.  
  7504. Anderson-Darling statistic = A2 : 1.50
  7505. p-value of test : 0.18
  7506.  
  7507. Tests on the sum of all N observations
  7508. Standardized normal statistic : 1.69
  7509. p-value of test : 0.05
  7510.  
  7511. Sample variance : 0.99
  7512. p-value of test : 0.44
  7513.  
  7514. -----------------------------------------------
  7515. CPU time used : 00:03:27.71
  7516.  
  7517. Generator state:
  7518.  
  7519.  
  7520.  
  7521.  
  7522. ***********************************************************
  7523. HOST =
  7524.  
  7525. XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7526.  
  7527.  
  7528. sstring_AutoCor test:
  7529. -----------------------------------------------
  7530. N = 10, n = 1000000029, r = 27, s = 3, d = 3
  7531.  
  7532.  
  7533. -----------------------------------------------
  7534.  
  7535. Kolmogorov-Smirnov+ statistic = D+ : 0.25
  7536. p-value of test : 0.25
  7537.  
  7538. Kolmogorov-Smirnov- statistic = D- : 0.082
  7539. p-value of test : 0.83
  7540.  
  7541. Anderson-Darling statistic = A2 : 0.81
  7542. p-value of test : 0.47
  7543.  
  7544. Tests on the sum of all N observations
  7545. Standardized normal statistic : -1.11
  7546. p-value of test : 0.87
  7547.  
  7548. Sample variance : 1.28
  7549. p-value of test : 0.24
  7550.  
  7551. -----------------------------------------------
  7552. CPU time used : 00:03:02.54
  7553.  
  7554. Generator state:
  7555.  
  7556.  
  7557.  
  7558.  
  7559.  
  7560. ========= Summary results of BigCrush =========
  7561.  
  7562. Version: TestU01 1.2.3
  7563. Generator: XORRotAQuShu-D-8-[ps42] [seed=0,rep=1,normal]
  7564. Number of statistics: 160
  7565. Total CPU time: 05:51:54.67
  7566.  
  7567. All tests were passed
  7568.  
  7569.  
  7570.  
  7571.  
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