30-Jan-2019 12:51:44 HISTOGRAM_DISCRETE_TEST: MATLAB version. Test HISTOGRAM_DISCRETE. SETUP_DISCRETE_TEST SETUP_DISCRETE sets up data for a discrete histogram. S_MIN = 10 S_MAX = 20 Sample data: 1: 14 2: 14 3: 10 4: 10 5: 10 6: 10 7: 16 8: 11 9: 11 10: 14 11: 13 12: 15 13: 15 14: 16 15: 13 16: 18 17: 19 18: 18 19: 16 20: 11 21: 12 22: 11 23: 10 24: 12 25: 10 26: 17 27: 14 28: 15 29: 20 30: 11 31: 12 32: 12 33: 12 34: 14 35: 11 36: 19 37: 11 38: 12 39: 17 40: 18 41: 11 42: 17 43: 17 44: 19 45: 16 46: 15 47: 16 48: 20 49: 12 50: 12 Discrete histogram data: 1: 10 0.24 2: 11 0.16 3: 12 0.16 4: 13 0.04 5: 14 0.1 6: 15 0.08 7: 16 0.1 8: 17 0.08 9: 18 0.06 10: 19 0.06 11: 20 0.08 Integral of Y(X) = 1 S_MIN = 12 S_MAX = 17 Discrete histogram data: 1: 12 0.88 2: 13 0.04 3: 14 0.1 4: 15 0.08 5: 16 0.1 6: 17 0.48 Integral of Y(X) = 1 S_MIN = 5 S_MAX = 23 Discrete histogram data: 1: 5 0 2: 10 0.04 3: 11 0.16 4: 12 0.16 5: 13 0.04 6: 14 0.1 7: 15 0.08 8: 16 0.1 9: 17 0.08 10: 18 0.06 11: 19 0.06 12: 20 0.02 13: 23 0 Integral of Y(X) = 1 PDF_DISCRETE_TEST PDF_DISCRETE_VALUE evaluates the PDF associated with a discrete histogram. S_MIN = 0 S_MAX = 10 Sample data: 1: 0 2: 2 3: 2 4: 4 5: 5 6: 8 Discrete histogram data: 0 0.166667 2 0.166667 4 0.111111 5 0.0833333 8 0.0666667 10 0 Discrete PDF table: 1: 0 0.166667 2: 0.5 0.166667 3: 1 0.166667 4: 1.5 0.166667 5: 2 0.166667 6: 2.5 0.152778 7: 3 0.138889 8: 3.5 0.125 9: 4 0.111111 10: 4.5 0.0972222 11: 5 0.0833333 12: 5.5 0.0805556 13: 6 0.0777778 14: 6.5 0.075 15: 7 0.0722222 16: 7.5 0.0694444 17: 8 0.0666667 18: 8.5 0.05 19: 9 0.0333333 20: 9.5 0.0166667 21: 10 0 Discrete PDF plotted as "pdf_discrete_test.png". CDF_DISCRETE_TEST CDF_DISCRETE_VALUE evaluates the CDF associated with a discrete histogram. S_MIN = 0 S_MAX = 10 Sample data: 1: 2 2: 2 3: 4 4: 5 5: 9 Discrete histogram data: 1: 0 0 2: 2 0.2 3: 4 0.133333 4: 5 0.08 5: 9 0.08 6: 10 0 Discrete CDF table: 1: 0 0 2: 0.5 0.0125 3: 1 0.05 4: 1.5 0.1125 5: 2 0.2 6: 2.5 0.295833 7: 3 0.383333 8: 3.5 0.4625 9: 4 0.533333 10: 4.5 0.593333 11: 5 0.64 12: 5.5 0.68 13: 6 0.72 14: 6.5 0.76 15: 7 0.8 16: 7.5 0.84 17: 8 0.88 18: 8.5 0.92 19: 9 0.96 20: 9.5 0.99 21: 10 1 Discrete CDF plotted as "cdf_discrete_test.png". BIGGER_TEST PDF_DISCRETE_VALUE evaluates the PDF associated with a discrete histogram. CDF_DISCRETE_VALUE evaluates the CDF associated with a discrete histogram. S_MIN = 0 S_MAX = 10 Sample data: 1: 2.98076 2: 8.17505 3: 4.04254 4: 4.71743 5: 5.34276 6: 9.6657 7: 3.42124 8: 0.144144 9: 5.77006 10: 9.59785 11: 6.02475 12: 3.12868 13: 4.08456 14: 3.42837 15: 8.05405 16: 9.9788 17: 4.20078 18: 4.16051 19: 0.594054 20: 2.82196 21: 1.84833 22: 1.50781 23: 9.66385 24: 2.90095 25: 5.95435 26: 3.48781 27: 7.3233 28: 2.45583 29: 2.0616 30: 0.790736 31: 9.61602 32: 9.18626 33: 3.73167 34: 4.6907 35: 5.97126 36: 4.95275 37: 1.72991 38: 2.12369 39: 1.1957 40: 1.65567 41: 9.31455 42: 0.870472 43: 1.66354 44: 8.24501 45: 0.0873071 46: 9.25918 47: 9.91266 48: 3.59478 49: 1.21638 50: 8.63099 Discrete histogram data: 1: 0 0 2: 0.0873071 0.2775 3: 0.144144 0.0789349 4: 0.594054 0.0618628 5: 0.790736 0.144708 6: 0.870472 0.0987748 7: 1.1957 0.115638 8: 1.21638 0.128158 9: 1.50781 0.0910559 10: 1.65567 0.256865 11: 1.66354 0.538783 12: 1.72991 0.216455 13: 1.84833 0.120594 14: 2.0616 0.145266 15: 2.12369 0.101463 16: 2.45583 0.0572848 17: 2.82196 0.0898646 18: 2.90095 0.251888 19: 2.98076 0.175646 20: 3.12868 0.0908097 21: 3.42124 0.133471 22: 3.42837 0.600858 23: 3.48781 0.240365 24: 3.59478 0.164029 25: 3.73167 0.0893336 26: 4.04254 0.11335 27: 4.08456 0.33907 28: 4.16051 0.344174 29: 4.20078 0.0754447 30: 4.6907 0.0774219 31: 4.71743 0.152644 32: 4.95275 0.0639656 33: 5.34276 0.0489408 34: 5.77006 0.0654042 35: 5.95435 0.198815 36: 5.97126 0.568142 37: 6.02475 0.0295849 38: 7.3233 0.0197113 39: 8.05405 0.046962 40: 8.17505 0.209468 41: 8.24501 0.0877315 42: 8.63099 0.0424966 43: 9.18626 0.0636744 44: 9.25918 0.311795 45: 9.31455 0.118111 46: 9.59785 0.132683 47: 9.61602 0.606098 48: 9.66385 0.805206 49: 9.6657 0.16076 50: 9.91266 0.127753 51: 9.9788 0.458001 52: 10 0 Discrete PDF/CDF table: 1: 0 0 0 2: 0.5 0.0654318 0.0479301 3: 1 0.105491 0.097167 4: 1.5 0.0920506 0.152553 5: 2 0.13814 0.246761 6: 2.5 0.061215 0.29213 7: 3 0.164609 0.350283 8: 3.5 0.231665 0.430021 9: 4 0.110063 0.492866 10: 4.5 0.0766523 0.564274 11: 5 0.0621453 0.610506 12: 5.5 0.0549989 0.637715 13: 6 0.278764 0.696975 14: 6.5 0.0259713 0.713993 15: 7 0.0221695 0.726028 16: 7.5 0.0263007 0.736863 17: 8 0.0449465 0.754675 18: 8.5 0.0578478 0.801629 19: 9 0.0565706 0.82648 20: 9.5 0.12765 0.886058 21: 10 0 1 GAUSSIAN_TEST PDF_DISCRETE_VALUE evaluates the PDF associated with a discrete histogram. CDF_DISCRETE_VALUE evaluates the CDF associated with a discrete histogram. S_MIN = -5 S_MAX = 5 Sample data: 1: -1.78456 2: -0.220386 3: -1.165 4: 0.147886 5: -0.437613 6: 0.442644 7: 1.03953 8: -0.217974 9: -0.743537 10: 0.798944 11: 0.562984 12: -0.90445 13: -0.722239 14: -0.965131 15: -0.705045 16: -0.813555 17: 0.151882 18: 1.68964 19: -1.32203 20: 0.928894 21: -0.746351 22: 1.80845 23: 0.769245 24: 0.733273 25: 0.719438 26: -1.24467 27: -0.354036 28: 0.305217 29: -0.518244 30: 0.147772 31: -0.0312433 32: -0.431545 33: 0.829962 34: 0.135265 35: -0.368813 36: -0.0126779 37: -1.07844 38: -2.65455 39: 1.02594 40: -1.07861 41: 0.838401 42: -0.534719 43: -1.22773 44: -0.856678 45: -0.126818 46: 0.731456 47: -1.48704 48: 1.40186 49: 0.751248 50: -0.445639 51: -0.376189 52: -1.09344 53: -2.02537 54: 0.979631 55: 0.150795 56: -0.35201 57: -0.331194 58: 1.7514 59: -2.34116 60: -0.247789 61: -0.605223 62: 0.437369 63: -0.185091 64: 0.191403 65: -1.59833 66: 0.382008 67: -0.227168 68: -0.096066 69: -0.671252 70: 0.400218 71: 0.013113 72: 1.09414 73: 1.0417 74: -1.3267 75: -0.00476991 76: -1.5089 77: -0.712738 78: -0.75752 79: -0.701905 80: 0.109875 81: -0.0054 82: -1.14469 83: 0.746078 84: -1.11774 85: 1.87767 86: 1.61142 87: 0.560464 88: -1.02125 89: 0.636973 90: 2.44379 91: 1.96947 92: 0.691839 93: 0.495723 94: 0.496294 95: 0.0673889 96: -0.462082 97: -0.482969 98: 0.0226579 99: -1.45234 100: -0.360617 101: 0.266408 102: -0.475408 103: -0.916733 104: 0.363205 105: 0.888626 106: 0.799957 107: 2.14432 108: 1.08633 109: -1.56574 110: 0.72911 111: -1.01966 112: -0.21952 113: 0.172358 114: -0.403376 115: 1.02318 116: 0.629441 117: -0.881219 118: -0.422941 119: 1.13938 120: -0.731759 121: -1.26498 122: 0.190338 123: 0.464383 124: 0.550839 125: -0.107136 126: -1.15942 127: 0.299328 128: -0.643877 129: -1.07246 130: 1.99765 131: -0.241206 132: 0.0772819 133: 0.0317407 134: 1.02052 135: -0.220677 136: 1.42835 137: 1.22635 138: -0.65115 139: 0.521514 140: 0.986292 141: 0.444954 142: 0.767082 143: 0.5427 144: 0.506503 145: -1.02648 146: -0.533903 147: -0.0202151 148: 1.02066 149: 0.875868 150: 1.65697 151: -0.433442 152: -1.26868 153: 1.65879 154: 0.938341 155: -1.94766 156: 1.21935 157: 1.0877 158: -0.124047 159: -2.05847 160: 0.0529623 161: -0.216454 162: -0.645955 163: -0.178051 164: 0.606282 165: -0.443744 166: 0.4083 167: 1.47733 168: -1.05369 169: -0.715936 170: -0.212745 171: 0.51937 172: -0.141397 173: -0.953311 174: 0.204476 175: -2.4192 176: 3.14375 177: 1.21106 178: -0.749291 179: 1.26626 180: 0.337995 181: 0.982615 182: 0.452136 183: -0.332058 184: 1.50946 185: -0.927567 186: -0.323923 187: -0.512863 188: -1.27365 189: 0.243885 190: 0.0840029 191: 0.466611 192: -1.15741 193: -0.432324 194: 2.08885 195: 0.415448 196: -1.4045 197: -2.37747 198: -0.98061 199: 1.6547 200: 1.55607 Discrete histogram data: 1: -5 0 2: -2.65455 0.00387476 3: -2.4192 0.0360908 4: -2.37747 0.128146 5: -2.34116 0.0313475 6: -2.05847 0.0316668 7: -2.02537 0.090244 8: -1.94766 0.0415253 9: -1.78456 0.0286265 10: -1.59833 0.0457014 11: -1.56574 0.111823 12: -1.5089 0.127064 13: -1.48704 0.176805 14: -1.45234 0.12115 15: -1.4045 0.0795923 16: -1.3267 0.121255 17: -1.32203 0.188493 18: -1.27365 0.187449 19: -1.26868 1.15342 20: -1.26498 0.416429 21: -1.24467 0.268488 22: -1.22773 0.125522 23: -1.165 0.146374 24: -1.15942 1.3165 25: -1.15741 0.679186 26: -1.14469 0.252104 27: -1.11774 0.195125 28: -1.09344 0.255576 29: -1.07861 0.666637 30: -1.07844 1.62482 31: -1.07246 0.403997 32: -1.05369 0.217493 33: -1.02648 0.308265 34: -1.02125 1.46614 35: -1.01966 0.24606 36: -0.98061 0.183391 37: -0.965131 0.366324 38: -0.953311 0.266211 39: -0.927567 0.273388 40: -0.916733 0.432572 41: -0.90445 0.281576 42: -0.881219 0.20933 43: -0.856678 0.147789 44: -0.813555 0.100849 45: -0.75752 0.155609 46: -0.749291 0.895361 47: -0.746351 1.73804 48: -0.743537 0.685278 49: -0.731759 0.469522 50: -0.722239 0.632019 51: -0.715936 1.05248 52: -0.712738 0.918122 53: -0.705045 0.923107 54: -0.701905 0.29592 55: -0.671252 0.197027 56: -0.65115 0.395307 57: -0.645955 1.37486 58: -0.643877 0.245506 59: -0.605223 0.0916105 60: -0.534719 0.140213 61: -0.533903 0.606985 62: -0.518244 0.475288 63: -0.512863 0.283486 64: -0.482969 0.266991 65: -0.475408 0.478776 66: -0.462082 0.335912 67: -0.445639 0.545305 68: -0.443744 1.24597 69: -0.437613 0.970659 70: -0.433442 1.89071 71: -0.432324 5.27176 72: -0.431545 1.06577 73: -0.422941 0.355005 74: -0.403376 0.213895 75: -0.376189 0.289325 76: -0.368813 0.642163 77: -0.360617 0.676725 78: -0.354036 1.16192 79: -0.35201 0.455008 80: -0.332058 0.480391 81: -0.331194 1.22917 82: -0.323923 0.119898 83: -0.247789 0.120895 84: -0.241206 0.484929 85: -0.227168 0.487107 86: -0.220677 1.47451 87: -0.220386 8.63985 88: -0.21952 4.1466 89: -0.217974 3.26195 90: -0.216454 1.9123 91: -0.212745 0.318852 92: -0.185091 0.288238 93: -0.178051 0.228861 94: -0.141397 0.195186 95: -0.126818 0.576363 96: -0.124047 0.508077 97: -0.107136 0.35739 98: -0.096066 0.131765 99: -0.0312433 0.131838 100: -0.0202151 0.538636 101: -0.0126779 0.674987 102: -0.0054 1.26454 103: -0.00476991 0.540162 104: 0.013113 0.364594 105: 0.0226579 0.536833 106: 0.0317407 0.329985 107: 0.0529623 0.280519 108: 0.0673889 0.411191 109: 0.0772819 0.601904 110: 0.0840029 0.306809 111: 0.109875 0.195074 112: 0.135265 0.263873 113: 0.147772 0.792346 114: 0.147886 3.30819 115: 0.150795 2.50282 116: 0.151882 0.463759 117: 0.172358 0.260038 118: 0.190338 0.525071 119: 0.191403 0.707313 120: 0.204476 0.190543 121: 0.243885 0.161466 122: 0.266408 0.180364 123: 0.299328 0.25767 124: 0.305217 0.25862 125: 0.337995 0.172449 126: 0.363205 0.227203 127: 0.382008 0.270177 128: 0.400218 0.380343 129: 0.4083 0.656627 130: 0.415448 0.344011 131: 0.437369 0.3677 132: 0.442644 1.31848 133: 0.444954 1.05353 134: 0.452136 0.514699 135: 0.464383 0.690822 136: 0.466611 0.319075 137: 0.495723 0.336898 138: 0.496294 0.927642 139: 0.506503 0.433349 140: 0.51937 0.666204 141: 0.521514 0.428635 142: 0.5427 0.341 143: 0.550839 0.56291 144: 0.560464 0.823383 145: 0.562984 0.218257 146: 0.606282 0.150473 147: 0.629441 0.325825 148: 0.636973 0.160263 149: 0.691839 0.121263 150: 0.719438 0.268305 151: 0.72911 0.83213 152: 0.731456 2.40189 153: 0.733273 0.683908 154: 0.746078 0.556328 155: 0.751248 0.476089 156: 0.767082 0.555665 157: 0.769245 0.313855 158: 0.798944 0.325601 159: 0.799957 0.322397 160: 0.829962 0.260118 161: 0.838401 0.217835 162: 0.875868 0.199106 163: 0.888626 0.188585 164: 0.928894 0.201145 165: 0.938341 0.197096 166: 0.979631 0.225866 167: 0.982615 1.50136 168: 0.986292 0.26379 169: 1.02052 0.291 170: 1.02066 3.77043 171: 1.02318 1.89247 172: 1.02594 0.611585 173: 1.03953 0.634688 174: 1.0417 0.213669 175: 1.08633 0.217348 176: 1.0877 1.27971 177: 1.09414 0.193528 178: 1.13938 0.0855304 179: 1.21106 0.125039 180: 1.21935 0.654231 181: 1.22635 0.213172 182: 1.26626 0.0569741 183: 1.40186 0.0616966 184: 1.42835 0.132512 185: 1.47733 0.123287 186: 1.50946 0.127003 187: 1.55607 0.0980735 188: 1.61142 0.101382 189: 1.6547 0.219555 190: 1.65697 2.44577 191: 1.65879 0.306042 192: 1.68964 0.107981 193: 1.7514 0.0841716 194: 1.80845 0.0791948 195: 1.87767 0.0621033 196: 1.96947 0.0833522 197: 1.99765 0.0837678 198: 2.08885 0.0681788 199: 2.14432 0.0281737 200: 2.44379 0.0100057 201: 3.14375 0.00391204 202: 5 0 Discrete PDF/CDF table: 1: -5 0 0 2: -4.9 0.000165203 8.26017e-06 3: -4.8 0.000330407 3.30407e-05 4: -4.7 0.00049561 7.43415e-05 5: -4.6 0.000660813 0.000132163 6: -4.5 0.000826017 0.000206504 7: -4.4 0.00099122 0.000297366 8: -4.3 0.00115642 0.000404748 9: -4.2 0.00132163 0.000528651 10: -4.1 0.00148683 0.000669074 11: -4 0.00165203 0.000826017 12: -3.9 0.00181724 0.00099948 13: -3.8 0.00198244 0.00118946 14: -3.7 0.00214764 0.00139597 15: -3.6 0.00231285 0.00161899 16: -3.5 0.00247805 0.00185854 17: -3.4 0.00264325 0.0021146 18: -3.3 0.00280846 0.00238719 19: -3.2 0.00297366 0.00267629 20: -3.1 0.00313886 0.00298192 21: -3 0.00330407 0.00330407 22: -2.9 0.00346927 0.00364273 23: -2.8 0.00363447 0.00399792 24: -2.7 0.00379968 0.00436963 25: -2.6 0.0113417 0.00495906 26: -2.5 0.0250302 0.00677765 27: -2.4 0.0784427 0.0103464 28: -2.3 0.031394 0.0168604 29: -2.2 0.031507 0.0200054 30: -2.1 0.0316199 0.0231618 31: -2 0.0743382 0.0285812 32: -1.9 0.0377564 0.0335027 33: -1.8 0.0298478 0.0368829 34: -1.7 0.0363793 0.0400828 35: -1.6 0.0455481 0.0441792 36: -1.5 0.147321 0.0548326 37: -1.4 0.0820031 0.0672676 38: -1.3 0.188018 0.0795877 39: -1.2 0.134741 0.104672 40: -1.1 0.239262 0.131483 41: -1 0.21451 0.169723 42: -0.9 0.267738 0.197952 43: -0.8 0.114095 0.213631 44: -0.7 0.289775 0.261022 45: -0.6 0.0952108 0.287258 46: -0.5 0.276388 0.309364 47: -0.4 0.223263 0.36283 48: -0.3 0.120211 0.403308 49: -0.2 0.304742 0.449565 50: -0.1 0.211947 0.480053 51: 0 0.493333 0.507635 52: 0.1 0.237723 0.545387 53: 0.2 0.367469 0.589997 54: 0.3 0.257779 0.609414 55: 0.4 0.379023 0.63338 56: 0.5 0.748201 0.68337 57: 0.6 0.160308 0.722281 58: 0.7 0.164743 0.739494 59: 0.8 0.322308 0.785177 60: 0.9 0.192133 0.808368 61: 1 0.274686 0.834176 62: 1.1 0.179544 0.876716 63: 1.2 0.118943 0.888132 64: 1.3 0.0581491 0.903079 65: 1.4 0.0616317 0.909068 66: 1.5 0.125909 0.920844 67: 1.6 0.100699 0.931652 68: 1.7 0.103989 0.952763 69: 1.8 0.0799319 0.961587 70: 1.9 0.0672716 0.968594 71: 2 0.0833653 0.976377 72: 2.1 0.0601363 0.983825 73: 2.2 0.0247957 0.987256 74: 2.3 0.018729 0.989432 75: 2.4 0.0126623 0.991002 76: 2.5 0.00951634 0.992047 77: 2.6 0.00864577 0.992955 78: 2.7 0.0077752 0.993776 79: 2.8 0.00690462 0.99451 80: 2.9 0.00603405 0.995157 81: 3 0.00516348 0.995717 82: 3.1 0.0042929 0.99619 83: 3.2 0.00379349 0.996586 84: 3.3 0.00358274 0.996955 85: 3.4 0.00337199 0.997302 86: 3.5 0.00316124 0.997629 87: 3.6 0.00295049 0.997935 88: 3.7 0.00273974 0.998219 89: 3.8 0.00252899 0.998483 90: 3.9 0.00231824 0.998725 91: 4 0.00210749 0.998946 92: 4.1 0.00189675 0.999146 93: 4.2 0.001686 0.999326 94: 4.3 0.00147525 0.999484 95: 4.4 0.0012645 0.999621 96: 4.5 0.00105375 0.999737 97: 4.6 0.000842998 0.999831 98: 4.7 0.000632248 0.999905 99: 4.8 0.000421499 0.999958 100: 4.9 0.000210749 0.999989 101: 5 0 1 Discrete PDF plotted as "gaussian_pdf_discrete_test.png". Discrete CDF plotted as "gaussian_cdf_discrete_test.png". HISTOGRAM_DISCRETE_TEST: Normal end of execution. 30-Jan-2019 12:51:46