-------------------------------------------- Test of RandGauss distribution Please enter an integer seed: 1357924 How many numbers should we generate: 500000 Enter mu: 20 Enter sigma: 4 Instantiating distribution utilizing TripleRand engine... Sample fire(): 26.7408 Testing operator() ... 0 50001 100002 150003 200004 250005 300006 350007 400008 450009 Mean (should be close to 20): 20.004 Second moment (should be close to 16): 15.9504 Third moment (should be close to zero): -0.0123321 Fourth moment (should be close to 768): 762.392 Fifth moment (should be close to zero): -11.2377 Sixth moment (should be close to 61440): 60359.1 These represent 0.715061, 1.55116, 0.0556245, 1.58104, 0.289199, 1.85041 standard deviations from expectations Between 0 sigma and 0.5 sigma (should be about 95731): 96022 negative and 96081 positive These represent 1.04596 and 1.25803 sigma from expectations Between 0.5 sigma and 1 sigma (should be about 74941): 74975 negative and 74625 positive These represent 0.134704 and 1.25195 sigma from expectations Between 1 sigma and 1.5 sigma (should be about 45924): 45803 negative and 45982 positive These represent 0.592497 and 0.284007 sigma from expectations Between 1.5 sigma and 2 sigma (should be about 22028.5): 21851 negative and 22064 positive These represent 1.22318 and 0.244636 sigma from expectations Between 2 sigma and 2.5 sigma (should be about 8270): 8218 negative and 8154 positive These represent 0.576597 and 1.28625 sigma from expectations Between 2.5 sigma and 3 sigma (should be about 2430): 2426 negative and 2514 positive These represent 0.081342 and 1.70818 sigma from expectations Between 3 sigma and 3.5 sigma (should be about 558.5): 525 negative and 541 positive These represent 1.41833 and 0.740916 sigma from expectations Between 3.5 sigma and 4 sigma (should be about 100.5): 102 negative and 92 positive These represent 0.149641 and 0.847968 sigma from expectations Between 4 sigma and 4.5 sigma (should be about 14.15): 15 negative and 10 positive These represent 0.225968 and 1.10326 sigma from expectations Between 4.5 sigma and 5 sigma (should be about 1.555): 0 negative and 0 positive These represent 1.247 and 1.247 sigma from expectations Between 5 sigma and 5.5 sigma (should be about 0.1935): 0 negative and 0 positive These represent 0.439886 and 0.439886 sigma from expectations The worst deviation encountered (out of about 25) was 1.85041 sigma -------------------------------------------- Test of RandGaussQ distribution Please enter an integer seed: 1366781 How many numbers should we generate: 1000000 Enter mu: 0 Enter sigma: 1 Instantiating distribution utilizing DualRand engine... Sample fire(): -0.564897 Testing operator() ... 0 100001 200002 300003 400004 500005 600006 700007 800008 900009 Mean (should be close to 0): 0.00215227 Second moment (should be close to 1): 1.00079 Third moment (should be close to zero): 0.00234365 Fourth moment (should be close to 3): 3.00548 Fifth moment (should be close to zero): 0.036029 Sixth moment (should be close to 15): 15.0532 These represent 2.15227, 0.555644, 0.95679, 0.559555, 1.34272, 0.527398 standard deviations from expectations Between 0 sigma and 0.5 sigma (should be about 191462): 191254 negative and 190744 positive These represent 0.528654 and 1.82487 sigma from expectations Between 0.5 sigma and 1 sigma (should be about 149882): 150207 negative and 150228 positive These represent 0.910477 and 0.969308 sigma from expectations Between 1 sigma and 1.5 sigma (should be about 91848): 91752 negative and 92205 positive These represent 0.332397 and 1.2361 sigma from expectations Between 1.5 sigma and 2 sigma (should be about 44057): 43686 negative and 44280 positive These represent 1.8078 and 1.08663 sigma from expectations Between 2 sigma and 2.5 sigma (should be about 16540): 16589 negative and 16644 positive These represent 0.384193 and 0.815431 sigma from expectations Between 2.5 sigma and 3 sigma (should be about 4860): 4784 negative and 4848 positive These represent 1.09283 and 0.172552 sigma from expectations Between 3 sigma and 3.5 sigma (should be about 1117): 1155 negative and 1150 positive These represent 1.13763 and 0.987939 sigma from expectations Between 3.5 sigma and 4 sigma (should be about 201): 182 negative and 227 positive These represent 1.34029 and 1.83408 sigma from expectations Between 4 sigma and 4.5 sigma (should be about 28.3): 24 negative and 35 positive These represent 0.808316 and 1.25947 sigma from expectations Between 4.5 sigma and 5 sigma (should be about 3.11): 2 negative and 4 positive These represent 0.629424 and 0.504673 sigma from expectations Between 5 sigma and 5.5 sigma (should be about 0.387): 0 negative and 0 positive These represent 0.622093 and 0.622093 sigma from expectations The worst deviation encountered (out of about 25) was 2.15227 sigma -------------------------------------------- Test of RandGaussT distribution Please enter an integer seed: 2354789 How many numbers should we generate: 1000000 Enter mu: 10 Enter sigma: 5 Instantiating distribution utilizing TripleRand engine... Sample fire(): 8.68178 Testing operator() ... 0 100001 200002 300003 400004 500005 600006 700007 800008 900009 Mean (should be close to 10): 9.99795 Second moment (should be close to 25): 25.0461 Third moment (should be close to zero): -0.0309835 Fourth moment (should be close to 1875): 1881.94 Fifth moment (should be close to zero): 51.0035 Sixth moment (should be close to 234375): 235404 These represent 0.41002, 1.30353, 0.101192, 1.13249, 0.608252, 0.653315 standard deviations from expectations Between 0 sigma and 0.5 sigma (should be about 191462): 191638 negative and 191426 positive These represent 0.447323 and 0.0914979 sigma from expectations Between 0.5 sigma and 1 sigma (should be about 149882): 149245 negative and 149967 positive These represent 1.78454 and 0.238125 sigma from expectations Between 1 sigma and 1.5 sigma (should be about 91848): 91965 negative and 91802 positive These represent 0.405109 and 0.159274 sigma from expectations Between 1.5 sigma and 2 sigma (should be about 44057): 44198 negative and 43964 positive These represent 0.687062 and 0.453168 sigma from expectations Between 2 sigma and 2.5 sigma (should be about 16540): 16780 negative and 16564 positive These represent 1.88176 and 0.188176 sigma from expectations Between 2.5 sigma and 3 sigma (should be about 4860): 4844 negative and 4828 positive These represent 0.23007 and 0.46014 sigma from expectations Between 3 sigma and 3.5 sigma (should be about 1117): 1122 negative and 1178 positive These represent 0.149688 and 1.82619 sigma from expectations Between 3.5 sigma and 4 sigma (should be about 201): 194 negative and 228 positive These represent 0.493792 and 1.90462 sigma from expectations Between 4 sigma and 4.5 sigma (should be about 28.3): 25 negative and 24 positive These represent 0.620336 and 0.808316 sigma from expectations Between 4.5 sigma and 5 sigma (should be about 3.11): 5 negative and 3 positive These represent 1.07172 and 0.0623754 sigma from expectations Between 5 sigma and 5.5 sigma (should be about 0.387): 0 negative and 0 positive These represent 0.622093 and 0.622093 sigma from expectations The worst deviation encountered (out of about 25) was 1.90462 sigma -------------------------------------------- Test of RandGeneral distribution (using a Gaussian shape) Please enter an integer seed: 1234987 How many numbers should we generate: 500000 Enter sigma: 0.06 Enter nBins for stepwise pdf test: 10000 Instantiating distribution utilizing Ranlux64 engine... Sample fire(): 0.4513 Testing operator() ... 0 50001 100002 150003 200004 250005 300006 350007 400008 450009 Mean (should be close to 0.5): 0.499995 Second moment (should be close to 0.0036): 0.00361231 Third moment (should be close to zero): 2.00365e-07 Fourth moment (should be close to 3.888e-05): 3.91688e-05 Fifth moment (should be close to zero): -9.43315e-09 Sixth moment (should be close to 6.9984e-07): 7.08857e-07 These represent 0.0557294, 1.71038, 0.26778, 1.60823, 0.319683, 1.35513 standard deviations from expectations Between 0 sigma and 0.5 sigma (should be about 95731): 95730 negative and 95242 positive These represent 0.00359438 and 1.75765 sigma from expectations Between 0.5 sigma and 1 sigma (should be about 74941): 75036 negative and 74757 positive These represent 0.376378 and 0.728985 sigma from expectations Between 1 sigma and 1.5 sigma (should be about 45924): 45874 negative and 46224 positive These represent 0.244834 and 1.469 sigma from expectations Between 1.5 sigma and 2 sigma (should be about 22028.5): 22068 negative and 22141 positive These represent 0.2722 and 0.775254 sigma from expectations Between 2 sigma and 2.5 sigma (should be about 8270): 8326 negative and 8240 positive These represent 0.62095 and 0.332652 sigma from expectations Between 2.5 sigma and 3 sigma (should be about 2430): 2457 negative and 2513 positive These represent 0.549058 and 1.68785 sigma from expectations Between 3 sigma and 3.5 sigma (should be about 558.5): 595 negative and 555 positive These represent 1.54534 and 0.148183 sigma from expectations Between 3.5 sigma and 4 sigma (should be about 100.5): 89 negative and 119 positive These represent 1.14725 and 1.84558 sigma from expectations Between 4 sigma and 4.5 sigma (should be about 14.15): 19 negative and 11 positive These represent 1.28935 and 0.837411 sigma from expectations Between 4.5 sigma and 5 sigma (should be about 1.555): 3 negative and 1 positive These represent 1.15879 and 0.44507 sigma from expectations Between 5 sigma and 5.5 sigma (should be about 0.1935): 0 negative and 0 positive These represent 0.439886 and 0.439886 sigma from expectations The worst deviation encountered (out of about 25) was 1.84558 sigma Enter nBins for linearized pdf test: 1000 Sample operator(): 0.456593 Testing operator() ... 0 50001 100002 150003 200004 250005 300006 350007 400008 450009 Mean (should be close to 0.5): 0.499963 Second moment (should be close to 0.0036): 0.00360046 Third moment (should be close to zero): 9.05934e-07 Fourth moment (should be close to 3.888e-05): 3.88233e-05 Fifth moment (should be close to zero): 3.85931e-08 Sixth moment (should be close to 6.9984e-07): 6.96311e-07 These represent 0.437691, 0.064491, 1.21074, 0.315891, 1.30789, 0.530318 standard deviations from expectations Between 0 sigma and 0.5 sigma (should be about 95731): 95809 negative and 95698 positive These represent 0.280361 and 0.118614 sigma from expectations Between 0.5 sigma and 1 sigma (should be about 74941): 74841 negative and 74895 positive These represent 0.396187 and 0.182246 sigma from expectations Between 1 sigma and 1.5 sigma (should be about 45924): 46094 negative and 45834 positive These represent 0.832434 and 0.4407 sigma from expectations Between 1.5 sigma and 2 sigma (should be about 22028.5): 22093 negative and 22009 positive These represent 0.444479 and 0.134377 sigma from expectations Between 2 sigma and 2.5 sigma (should be about 8270): 8282 negative and 8258 positive These represent 0.133061 and 0.133061 sigma from expectations Between 2.5 sigma and 3 sigma (should be about 2430): 2438 negative and 2420 positive These represent 0.162684 and 0.203355 sigma from expectations Between 3 sigma and 3.5 sigma (should be about 558.5): 513 negative and 590 positive These represent 1.92638 and 1.33365 sigma from expectations Between 3.5 sigma and 4 sigma (should be about 100.5): 95 negative and 101 positive These represent 0.548685 and 0.0498805 sigma from expectations Between 4 sigma and 4.5 sigma (should be about 14.15): 15 negative and 12 positive These represent 0.225968 and 0.571566 sigma from expectations Between 4.5 sigma and 5 sigma (should be about 1.555): 2 negative and 1 positive These represent 0.356858 and 0.44507 sigma from expectations Between 5 sigma and 5.5 sigma (should be about 0.1935): 0 negative and 0 positive These represent 0.439886 and 0.439886 sigma from expectations The worst deviation encountered (out of about 25) was 1.92638 sigma -------------------------------------------- Test of RandPoisson distribution Please enter an integer seed: 1363971 Instantiating distribution utilizing TripleRand engine... How many numbers should we generate for each mu: 500000 Enter a value for mu: 0.12 Sample fire(): 0 Testing operator() ... 0 443889 443460 0.414589 1 52830 53215.2 2.78866 2 3149 3192.91 0.603963 3 132 131.642 0.000974309 ---- 0 496719 496675 1 3281 3324.56 Chi^2 is 3.80819 on 3 degrees of freedom. p = 0.282935 Clumps: Chi^2 is 0.574445 on 1 degrees of freedom. p = 0.448498 Mean (should be 0.12) is 0.11906 Sigma (should be 0.34641) is 0.345163 These are 1.91877 and 1.58042 standard deviations from expected values Enter a value for mu: 9.5 Sample fire(): 13 Testing operator() ... 0 37 37.4259 0.004847 1 357 355.546 0.00594454 2 1719 1688.84 0.538451 3 5250 5348.01 1.79608 4 12753 12701.5 0.208673 5 23727 24132.9 6.82641 6 38157 38210.4 0.0746223 7 51789 51857 0.0890864 8 62020 61580.2 3.14172 9 65175 65001.3 0.464332 10 61580 61751.2 0.474673 11 53199 53330.6 0.324677 12 42250 42220 0.0212483 13 30992 30853.1 0.625215 14 20950 20936 0.00930786 15 13105 13259.5 1.80006 16 7985 7872.82 1.59835 17 4377 4399.52 0.115264 18 2409 2321.97 3.2621 19 1190 1160.98 0.725175 20 519 551.467 1.91151 21 268 249.473 1.37584 22 115 107.727 0.491004 23 77 72.5389 0.274359 ---- 0 2113 2081.82 1 41730 42182.4 2 151966 151648 3 179954 180083 4 94192 94009.2 5 25467 25531.8 6 4118 4034.42 7 433 401.697 8 27 28.0429 Chi^2 is 26.159 on 23 degrees of freedom. p = 0.29342 Clumps: Chi^2 is 10.8103 on 8 degrees of freedom. p = 0.212679 Mean (should be 9.5) is 9.50529 Sigma (should be 3.08221) is 3.08259 These are 1.21269 and 0.121219 standard deviations from expected values Enter a value for mu: 130.5 Sample fire(): 118 Testing operator() ... 91 78 81.3848 0.140772 92 31 36.7233 0.891984 93 34 51.5311 5.96418 94 74 71.5406 0.0845505 95 97 98.2742 0.0165198 96 136 133.591 0.0434251 97 158 179.729 2.62693 98 246 239.333 0.185744 99 338 315.484 1.60698 100 413 411.706 0.00406449 101 494 531.957 2.70841 102 712 680.592 1.44938 103 872 862.304 0.109025 104 1059 1082.03 0.48999 105 1402 1344.8 2.43267 106 1676 1655.63 0.250609 107 2083 2019.25 2.01264 108 2486 2439.93 0.869976 109 2972 2921.2 0.883503 110 3558 3465.6 2.46344 111 4164 4074.42 1.9693 112 4758 4747.43 0.0235237 113 5427 5482.65 0.564941 114 6217 6276.2 0.558329 115 7040 7122.12 0.946825 116 8041 8012.38 0.102209 117 8871 8936.89 0.485775 118 9898 9883.59 0.0210006 119 10851 10838.7 0.0138899 120 11823 11787.1 0.109225 121 12683 12712.6 0.0687068 122 13687 13598.3 0.579041 123 14235 14427.4 2.56652 124 15236 15183.7 0.180121 125 15852 15851.8 2.8726e-06 126 16333 16417.9 0.439259 127 16744 16870.4 0.946806 128 17273 17199.9 0.310814 129 17236 17399.9 1.54355 130 17519 17466.8 0.15597 131 17390 17400.1 0.00590683 132 17133 17202.4 0.280056 133 16951 16879.1 0.306652 134 16447 16438.2 0.0047273 135 15923 15890.2 0.0675176 136 15209 15247.6 0.0978445 137 14572 14524.2 0.157328 138 13776 13734.8 0.123352 139 12925 12894.9 0.0700798 140 11904 12019.9 1.11803 141 11134 11124.8 0.00756807 142 10328 10223.9 1.06056 143 9276 9330.18 0.314566 144 8490 8455.47 0.141001 145 7632 7609.92 0.0640402 146 6803 6802.02 0.000140821 147 6044 6038.53 0.00495662 148 5392 5324.51 0.855361 149 4664 4663.42 7.30132e-05 150 3993 4057.17 1.01501 151 3535 3506.36 0.233863 152 3055 3010.4 0.660817 153 2563 2567.69 0.00857589 154 2141 2175.87 0.558798 155 1857 1831.94 0.342763 156 1499 1532.49 0.731852 157 1239 1273.82 0.951862 158 1076 1052.11 0.542389 159 844 863.526 0.441503 160 723 704.313 0.495805 161 538 570.887 1.89455 162 515 459.881 6.60617 163 374 368.187 0.0917677 164 275 292.978 1.10322 165 238 231.719 0.170243 166 196 182.165 1.05077 167 138 142.35 0.132949 168 94 110.576 2.48476 169 75 85.3854 1.26317 170 56 65.5458 1.39022 171 43 50.0218 0.98569 172 35 37.9526 0.229704 173 20 28.629 2.60084 174 78 80.9759 0.109369 ---- 8 854 892.107 9 14507 14264.9 10 80648 80627.1 11 174188 174529 12 156302 156180 13 61447 61365.7 14 11081 11126 15 924 971.828 16 49 43.4924 Chi^2 is 67.597 on 83 degrees of freedom. p = 0.889909 Clumps: Chi^2 is 9.84423 on 8 degrees of freedom. p = 0.276129 Mean (should be 130.5) is 130.492 Sigma (should be 11.4237) is 11.4284 These are 0.466962 and 0.414307 standard deviations from expected values Enter a value for mu: 0 -------------------------------------------- Test of RandPoissonQ distribution Please enter an integer seed: 1323456 Instantiating distribution utilizing TripleRand engine... How many numbers should we generate for each mu: 500000 Enter a value for mu: 1.4 Sample fire(): 0 Testing operator() ... 0 123148 123298 0.183659 1 172841 172618 0.288411 2 121143 120833 0.79782 3 55933 56388.5 3.67957 4 19803 19736 0.227609 5 5503 5526.07 0.0963413 6 1291 1289.42 0.00194302 7 279 257.883 1.72911 8 59 53.274 0.615441 ---- 0 295989 295916 1 177076 177221 2 25306 25262.1 3 1570 1547.3 4 59 53.274 Chi^2 is 7.61991 on 8 degrees of freedom. p = 0.471451 Clumps: Chi^2 is 1.16141 on 4 degrees of freedom. p = 0.884411 Mean (should be 1.4) is 1.39966 Sigma (should be 1.18322) is 1.18302 These are 0.200798 and 0.143597 standard deviations from expected values Enter a value for mu: 36.5 Sample fire(): 36 Testing operator() ... 16 64 57.508 0.732875 17 70 71.636 0.0373644 18 149 145.262 0.0961904 19 268 279.056 0.438024 20 500 509.277 0.168991 21 914 885.172 0.938863 22 1416 1468.58 1.88259 23 2419 2330.57 3.35505 24 3490 3544.41 0.835378 25 5172 5174.85 0.00156413 26 7222 7264.69 0.250819 27 9763 9820.78 0.339941 28 12854 12802.1 0.210504 29 16056 16113 0.201444 30 19763 19604.1 1.28769 31 23412 23082.3 4.7103 32 26121 26328.2 1.63079 33 29273 29120.6 0.797616 34 31090 31261.8 0.944306 35 32608 32601.6 0.0012532 36 32961 33054.4 0.263962 37 32887 32607.7 2.39187 38 31142 31320.6 1.01821 39 29028 29312.9 2.76806 40 26733 26748 0.00838496 41 23878 23812.2 0.1817 42 20659 20694 0.0590449 43 17526 17565.8 0.0901742 44 14563 14571.6 0.00510983 45 11751 11819.2 0.393649 46 9368 9378.29 0.0112822 47 7344 7283.14 0.50861 48 5596 5538.22 0.602838 49 4161 4125.41 0.307071 50 3080 3011.55 1.55591 51 2160 2155.32 0.010147 52 1521 1512.87 0.0436761 53 1030 1041.88 0.13553 54 726 704.236 0.672619 55 432 467.356 2.67479 56 291 304.616 0.608643 57 212 195.061 1.47092 58 126 122.754 0.0858297 59 86 75.9411 1.33237 60 46 46.1975 0.000844299 61 69 65.3406 0.204947 ---- 2 134 129.144 3 5666 5617.92 4 54557 54719.8 5 162267 161999 6 176629 176856 7 81211 81312 8 17548 17385.3 9 1873 1869.96 10 115 111.538 Chi^2 is 36.2677 on 45 degrees of freedom. p = 0.820234 Clumps: Chi^2 is 3.57511 on 8 degrees of freedom. p = 0.893283 Mean (should be 36.5) is 36.5002 Sigma (should be 6.04152) is 6.04718 These are 0.0224719 and 0.929886 standard deviations from expected values Enter a value for mu: 104.5 Sample fire(): 105 Testing operator() ... 69 76 70.7124 0.395389 70 41 37.5779 0.311649 71 61 55.3082 0.585737 72 83 80.2738 0.0925871 73 133 114.912 2.84703 74 169 162.275 0.278696 75 223 226.103 0.0425905 76 323 310.892 0.471566 77 412 421.925 0.233454 78 577 565.271 0.243372 79 754 747.732 0.0525459 80 966 976.725 0.11776 81 1206 1260.1 2.3223 82 1672 1605.85 2.72465 83 2038 2021.83 0.129366 84 2512 2515.25 0.00419808 85 2990 3092.28 3.38283 86 3850 3757.48 2.27828 87 4493 4513.29 0.0912227 88 5432 5359.53 0.979843 89 6280 6292.93 0.0265858 90 7220 7306.8 1.03104 91 8318 8390.77 0.631133 92 9646 9530.82 1.3919 93 10813 10709.4 1.00289 94 12098 11905.6 3.10852 95 13069 13096.2 0.0564329 96 14247 14255.7 0.00536289 97 15316 15358 0.114814 98 16113 16376.6 4.24403 99 17262 17286.4 0.0345743 100 18287 18064.3 2.74456 101 18664 18690.3 0.0370903 102 19216 19148.4 0.238469 103 19470 19427.3 0.093913 104 19717 19520.7 1.97426 105 19361 19427.7 0.229209 106 19182 19152.8 0.0444868 107 18624 18705.3 0.353486 108 18242 18099.1 1.12788 109 17185 17351.9 1.60557 110 16585 16484.3 0.614956 111 15545 15519 0.0434962 112 14487 14479.8 0.00358129 113 13328 13390.6 0.292748 114 12371 12274.7 0.755099 115 10937 11154 4.22134 116 10193 10048.2 2.08645 117 8836 8974.68 2.14295 118 7889 7947.92 0.436733 119 7020 6979.47 0.235329 120 6076 6077.96 0.000630379 121 5188 5249.15 0.712252 122 4441 4496.19 0.677543 123 3781 3819.94 0.396891 124 3078 3219.22 6.19511 125 2669 2691.27 0.184264 126 2237 2232.04 0.0110022 127 1851 1836.6 0.112849 128 1510 1499.41 0.0747299 129 1221 1214.64 0.0332803 130 949 976.385 0.768095 131 799 778.872 0.520144 132 674 616.607 5.34203 133 465 484.477 0.783024 134 376 377.82 0.00876546 135 286 292.461 0.142715 136 221 224.722 0.0616303 137 160 171.412 0.759727 138 115 129.801 1.6877 139 94 97.5841 0.131638 140 86 72.8396 2.37779 141 67 53.9839 3.13831 142 36 39.7276 0.349759 143 32 29.0317 0.303486 144 56 72.5299 3.76725 ---- 6 76 70.7124 7 2776 2722.27 8 31439 31395.3 9 124102 124216 10 187948 187588 11 117191 117253 12 32052 32336.4 13 4139 4150.14 14 277 268.113 Chi^2 is 77.0546 on 75 degrees of freedom. p = 0.412705 Clumps: Chi^2 is 5.17197 on 8 degrees of freedom. p = 0.739047 Mean (should be 104.5) is 104.478 Sigma (should be 10.2225) is 10.2169 These are 1.49203 and 0.547281 standard deviations from expected values Enter a value for mu: 235.8 Sample fire(): 255 Testing operator() ... 183 108 102.415 0.304607 184 27 31.0742 0.534181 185 41 39.607 0.0489904 186 54 50.2115 0.285847 187 61 63.3148 0.0846305 188 75 79.4129 0.245225 189 101 99.0771 0.0373199 190 131 122.96 0.525727 191 139 151.801 1.07944 192 196 186.43 0.491225 193 227 227.773 0.00262597 194 281 276.85 0.0621987 195 328 334.776 0.137147 196 400 402.756 0.0188583 197 453 482.08 1.75422 198 532 574.114 3.08927 199 646 680.282 1.72758 200 835 802.052 1.35347 201 941 940.915 7.66519e-06 202 1094 1098.36 0.0172702 203 1251 1275.82 0.48299 204 1476 1474.7 0.00114256 205 1713 1696.27 0.165066 206 1969 1941.65 0.385273 207 2316 2211.79 4.90976 208 2411 2507.41 3.70668 209 2843 2828.93 0.0699782 210 3177 3176.48 8.37169e-05 211 3503 3549.83 0.617898 212 4011 3948.35 0.993988 213 4329 4370.99 0.403452 214 4788 4816.26 0.165858 215 5232 5282.21 0.477249 216 5770 5766.41 0.0022334 217 6278 6265.99 0.0230203 218 6628 6777.62 3.3028 219 7445 7297.54 2.97956 220 7767 7821.64 0.381695 221 8387 8345.44 0.206951 222 8831 8864.21 0.124439 223 9381 9373.01 0.0068108 224 9744 9866.77 1.52752 225 10309 10340.4 0.095179 226 10736 10788.8 0.258007 227 11236 11207 0.0750309 228 11914 11590.4 9.03482 229 11943 11934.6 0.00595634 230 12382 12235.5 1.75344 231 12427 12489.8 0.315486 232 12807 12694.3 0.99973 233 12792 12846.9 0.234576 234 12685 12945.7 5.2507 235 12813 12989.8 2.40607 236 12917 12978.8 0.294083 237 12869 12913.1 0.150371 238 12985 12793.7 2.86042 239 12459 12622.4 2.11536 240 12416 12401.5 0.0169248 241 11919 12133.9 3.80701 242 12037 11823.1 3.87133 243 11453 11472.7 0.0339843 244 11241 11087.2 2.13388 245 10668 10670.9 0.000761762 246 10088 10228.4 1.92723 247 9840 9764.6 0.582172 248 9278 9284.25 0.00420434 249 8915 8792.07 1.71878 250 8359 8292.68 0.530371 251 7859 7790.49 0.602395 252 7430 7289.68 2.70114 253 6751 6794.09 0.273346 254 6288 6307.27 0.0588956 255 5814 5832.37 0.057878 256 5323 5372.16 0.449899 257 4843 4929.01 1.50089 258 4532 4504.89 0.163182 259 4152 4101.36 0.625249 260 3702 3719.62 0.0834515 261 3273 3360.48 2.27742 262 2950 3024.43 1.83191 263 2722 2711.64 0.039571 264 2483 2421.99 1.53691 265 2181 2155.11 0.310953 266 1960 1910.43 1.28595 267 1706 1687.19 0.209642 268 1500 1484.48 0.162302 269 1288 1301.26 0.135194 270 1147 1136.44 0.0981841 271 998 988.826 0.0851158 272 911 857.225 3.37341 273 765 740.416 0.816253 274 614 637.19 0.843997 275 555 546.362 0.136578 276 475 466.783 0.144651 277 411 397.355 0.468545 278 350 337.037 0.498555 279 258 284.851 2.53104 280 251 239.885 0.514997 281 196 201.299 0.139472 282 176 168.32 0.350426 283 135 140.247 0.196287 284 108 116.444 0.612367 285 107 96.3424 1.17898 286 72 79.4319 0.695355 287 52 65.2615 2.6948 288 53 53.4328 0.00350629 289 33 43.5968 2.57568 290 37 35.4487 0.0678898 291 33 28.7244 0.636422 292 98 113.119 2.0207 ---- 11 39 33.6744 12 1402 1397.25 13 19208 19251.9 14 95271 95522.8 15 183274 183371 16 144542 144133 17 48429 48516.4 18 7350 7258.68 19 485 515.357 Chi^2 is 108.2 on 109 degrees of freedom. p = 0.503649 Clumps: Chi^2 is 5.92984 on 8 degrees of freedom. p = 0.655091 Mean (should be 235.8) is 235.819 Sigma (should be 15.3558) is 15.3541 These are 0.862207 and 0.11155 standard deviations from expected values Enter a value for mu: 0 -------------------------------------------- Test of RandPoissonT distribution Please enter an integer seed: 1357531 Instantiating distribution utilizing TripleRand engine... How many numbers should we generate for each mu: 500000 Enter a value for mu: 1.4 Sample fire(): 1 Testing operator() ... 0 123494 123298 0.310039 1 172488 172618 0.0977156 2 120581 120833 0.523522 3 56258 56388.5 0.302043 4 19999 19736 3.50533 5 5509 5526.07 0.0527511 6 1359 1289.42 3.75501 7 263 257.883 0.101516 8 49 53.274 0.34289 ---- 0 295982 295916 1 176839 177221 2 25508 25262.1 3 1622 1547.3 4 49 53.274 Chi^2 is 8.99081 on 8 degrees of freedom. p = 0.343072 Clumps: Chi^2 is 7.18176 on 4 degrees of freedom. p = 0.126589 Mean (should be 1.4) is 1.40072 Sigma (should be 1.18322) is 1.18567 These are 0.429087 and 1.78129 standard deviations from expected values Enter a value for mu: 99.1 Sample fire(): 99 Testing operator() ... 64 57 54.5885 0.106528 65 33 30.8208 0.154079 66 47 46.2779 0.0112666 67 72 68.4499 0.184125 68 111 99.7556 1.26745 69 136 143.272 0.369124 70 180 202.833 2.57022 71 265 283.109 1.15828 72 377 389.667 0.411796 73 535 528.987 0.068353 74 671 708.413 1.97592 75 892 936.05 2.073 76 1197 1220.56 0.454785 77 1577 1570.88 0.0238658 78 1964 1995.82 0.507299 79 2486 2503.62 0.123958 80 3112 3101.36 0.0365374 81 3771 3794.37 0.143986 82 4605 4585.64 0.0817387 83 5440 5475.14 0.225573 84 6414 6459.37 0.31861 85 7497 7530.86 0.152241 86 8590 8678 0.892427 87 10091 9884.94 4.29535 88 11200 11131.8 0.417905 89 12369 12395.1 0.0548118 90 13389 13648.3 4.92802 91 14896 14863.2 0.0723976 92 15973 16010.2 0.0866564 93 17108 17060.4 0.132908 94 17951 17986 0.0681034 95 18711 18762.2 0.139918 96 19641 19368.1 3.8452 97 19755 19787.4 0.053084 98 20076 20009.5 0.220918 99 20040 20029.7 0.00527093 100 19835 19849.5 0.0105302 101 19289 19476.1 1.79648 102 18884 18922.3 0.0776066 103 18115 18205.8 0.453303 104 17283 17348.1 0.244063 105 16407 16373.3 0.0694733 106 15254 15307.5 0.186744 107 14130 14177.3 0.15773 108 13192 13009 2.57501 109 12053 11827.4 4.30219 110 10620 10655.4 0.117842 111 9533 9513.1 0.0416453 112 8387 8417.39 0.109727 113 7438 7381.98 0.42516 114 6460 6417.14 0.286261 115 5514 5529.9 0.0457209 116 4814 4724.25 1.70499 117 4056 4001.48 0.742798 118 3440 3360.57 1.87759 119 2786 2798.59 0.05663 120 2361 2311.17 1.07444 121 1878 1892.87 0.11675 122 1491 1537.57 1.41025 123 1231 1238.8 0.0491476 124 959 990.043 0.973374 125 792 784.906 0.0641108 126 617 617.335 0.000181805 127 501 481.716 0.771996 128 355 372.953 0.864245 129 270 286.509 0.951284 130 207 218.408 0.59588 131 161 165.223 0.107949 132 115 124.043 0.659198 133 92 92.4257 0.00196095 134 72 68.3537 0.194516 135 52 50.1766 0.0662584 136 40 36.5625 0.323176 137 87 90.1474 0.109891 ---- 6 21 21.3177 7 880 907.788 8 12811 12955.3 9 69977 69935.2 10 157500 157495 11 159237 159689 12 78011 77475.6 13 18994 18916 14 2390 2426.97 15 179 176.887 Chi^2 is 51.2478 on 73 degrees of freedom. p = 0.975104 Clumps: Chi^2 is 8.38105 on 9 degrees of freedom. p = 0.496248 Mean (should be 99.1) is 99.1201 Sigma (should be 9.9549) is 9.94589 These are 1.42474 and 0.902668 standard deviations from expected values Enter a value for mu: 130.5 Sample fire(): 147 Testing operator() ... 91 61 81.3848 5.10586 92 28 36.7233 2.07216 93 41 51.5311 2.15219 94 75 71.5406 0.167285 95 108 98.2742 0.962533 96 158 133.591 4.45971 97 176 179.729 0.0773554 98 239 239.333 0.000462123 99 305 315.484 0.348388 100 417 411.706 0.0680633 101 577 531.957 3.81393 102 720 680.592 2.28177 103 908 862.304 2.42157 104 1092 1082.03 0.0919453 105 1407 1344.8 2.87657 106 1583 1655.63 3.18621 107 1988 2019.25 0.483636 108 2489 2439.93 0.986961 109 2904 2921.2 0.101245 110 3394 3465.6 1.47938 111 4047 4074.42 0.184593 112 4729 4747.43 0.0715647 113 5525 5482.65 0.327064 114 6346 6276.2 0.776359 115 7081 7122.12 0.237388 116 8094 8012.38 0.831381 117 8931 8936.89 0.00388019 118 9814 9883.59 0.490023 119 10849 10838.7 0.00973082 120 11545 11787.1 4.97336 121 12782 12712.6 0.379369 122 13638 13598.3 0.11611 123 14300 14427.4 1.12547 124 15353 15183.7 1.88763 125 15829 15851.8 0.0327553 126 16244 16417.9 1.84243 127 16935 16870.4 0.247487 128 17261 17199.9 0.217163 129 17665 17399.9 4.03952 130 17560 17466.8 0.497244 131 17735 17400.1 6.44435 132 17018 17202.4 1.97686 133 16894 16879.1 0.0132314 134 16380 16438.2 0.205951 135 15842 15890.2 0.14648 136 15007 15247.6 3.79734 137 14593 14524.2 0.325923 138 13792 13734.8 0.23789 139 12997 12894.9 0.807797 140 11844 12019.9 2.57486 141 11077 11124.8 0.205591 142 10224 10223.9 1.64745e-06 143 9410 9330.18 0.682944 144 8442 8455.47 0.0214627 145 7568 7609.92 0.230967 146 6651 6802.02 3.35304 147 5958 6038.53 1.07393 148 5377 5324.51 0.51738 149 4726 4663.42 0.839877 150 4114 4057.17 0.795969 151 3466 3506.36 0.46466 152 2970 3010.4 0.542126 153 2574 2567.69 0.0154939 154 2145 2175.87 0.437948 155 1886 1831.94 1.5952 156 1469 1532.49 2.63032 157 1295 1273.82 0.35213 158 1105 1052.11 2.65863 159 902 863.526 1.71423 160 679 704.313 0.909753 161 585 570.887 0.348875 162 452 459.881 0.135072 163 352 368.187 0.711671 164 281 292.978 0.489728 165 222 231.719 0.407661 166 203 182.165 2.38304 167 137 142.35 0.201096 168 92 110.576 3.12055 169 84 85.3854 0.0224778 170 59 65.5458 0.65371 171 51 50.0218 0.0191283 172 32 37.9526 0.933625 173 28 28.629 0.013819 174 84 80.9759 0.112934 ---- 8 886 892.107 9 14390 14264.9 10 80355 80627.1 11 175302 174529 12 155668 156180 13 61256 61365.7 14 11151 11126 15 942 971.828 16 50 43.4924 Chi^2 is 96.5535 on 83 degrees of freedom. p = 0.146698 Clumps: Chi^2 is 9.30432 on 8 degrees of freedom. p = 0.317278 Mean (should be 130.5) is 130.489 Sigma (should be 11.4237) is 11.4216 These are 0.661075 and 0.177909 standard deviations from expected values Enter a value for mu: 0 -------------------------------------------- Test of RandGamma distribution Please enter an integer seed: 4132429 Instantiating distribution utilizing TripleRand engine... How many numbers should we generate for each k, lambda: 100000 Enter a value for k: 1 Enter a value for lambda: 11.5 Sample fire(): 0.0284368 Testing operator() ... KS statistic is 0.00292382 on effective N of 100000 KS test gives p-value of 0.179611 Mean (should be 0.0869565) is 0.0870449 Alpha2 (should be 0.0151229) is 0.015138 Alpha3 (should be 0.0039451) is 0.00396574 Alpha3 (should be 0.00137221) is 0.00139962 These are 0.321312 0.141787 0.37969 0.564944 standard deviations from expected values Enter a value for k: 4.1 Enter a value for lambda: 0.5 Sample fire(): 8.12618 Testing operator() ... KS statistic is 0.00185822 on effective N of 100000 KS test gives p-value of 0.439979 Mean (should be 8.2) is 8.1933 Alpha2 (should be 83.64) is 83.4655 Alpha3 (should be 1020.41) is 1016.65 Alpha3 (should be 14489.8) is 14410 These are 0.52288 0.637468 0.66113 0.49025 standard deviations from expected values Enter a value for k: 12.6 Enter a value for lambda: 2.5 Sample fire(): 6.24365 Testing operator() ... KS statistic is 0.0016183 on effective N of 100000 KS test gives p-value of 0.477893 Mean (should be 5.04) is 5.04016 Alpha2 (should be 27.4176) is 27.4223 Alpha3 (should be 160.119) is 160.195 Alpha3 (should be 999.141) is 1000.09 These are 0.0346412 0.0950586 0.166031 0.195274 standard deviations from expected values Enter a value for k: 0.3 Enter a value for lambda: 1.5 Sample fire(): 1.25172 Testing operator() ... KS statistic is 0.00467667 on effective N of 100000 KS test gives p-value of 0.0125558 Mean (should be 0.2) is 0.198051 Alpha2 (should be 0.173333) is 0.169346 Alpha3 (should be 0.265778) is 0.251537 Alpha3 (should be 0.584711) is 0.522235 These are 1.68757 1.69309 1.8616 1.2934 standard deviations from expected values Enter a value for k: 0 -------------------------------------------- Test of RandFlat distribution Please enter an integer seed: 1111111 Instantiating distribution utilizing TripleRand engine... How many numbers should we generate for each a, b: 100000 Enter a value for a: -3 Enter a value for b: 15 Sample fire(): 11.05 Testing operator() ... KS statistic is 0.00330959 on effective N of 100000 KS test gives p-value of 0.1115 Enter a value for a: 0 Enter a value for b: 0