07-Jan-2022 21:43:06 histogram_discrete_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test histogram_discrete(). SETUP_DISCRETE_TEST(): SETUP_DISCRETE() sets up data for a discrete histogram. S_MIN = 10 S_MAX = 20 Sample data: 1: 18 2: 19 3: 11 4: 20 5: 16 6: 11 7: 13 8: 16 9: 20 10: 20 11: 11 12: 20 13: 20 14: 15 15: 18 16: 11 17: 14 18: 20 19: 18 20: 20 21: 17 22: 10 23: 19 24: 20 25: 17 26: 18 27: 18 28: 14 29: 17 30: 11 31: 17 32: 10 33: 13 34: 10 35: 11 36: 19 37: 17 38: 13 39: 20 40: 10 41: 14 42: 14 43: 18 44: 18 45: 12 46: 15 47: 14 48: 17 49: 17 50: 18 Discrete histogram data: 1: 10 0.16 2: 11 0.12 3: 12 0.02 4: 13 0.06 5: 14 0.1 6: 15 0.04 7: 16 0.04 8: 17 0.14 9: 18 0.16 10: 19 0.06 11: 20 0.36 Integral of Y(X) = 1 S_MIN = 12 S_MAX = 17 Discrete histogram data: 1: 12 0.44 2: 13 0.06 3: 14 0.1 4: 15 0.04 5: 16 0.04 6: 17 1.08 Integral of Y(X) = 1 S_MIN = 5 S_MAX = 23 Discrete histogram data: 1: 5 0 2: 10 0.0266667 3: 11 0.12 4: 12 0.02 5: 13 0.06 6: 14 0.1 7: 15 0.04 8: 16 0.04 9: 17 0.14 10: 18 0.16 11: 19 0.06 12: 20 0.09 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: 2.76025 2: 6.79703 3: 6.55098 4: 1.62612 5: 1.18998 6: 4.98364 7: 9.59744 8: 3.40386 9: 5.85268 10: 2.23812 11: 7.51267 12: 2.55095 13: 5.05957 14: 6.99077 15: 8.90903 16: 9.59291 17: 5.47216 18: 1.38624 19: 1.49294 20: 2.57508 21: 8.40717 22: 2.54282 23: 8.14285 24: 2.43525 25: 9.29264 26: 3.49984 27: 1.96595 28: 2.51084 29: 6.16045 30: 4.73289 31: 3.5166 32: 8.30829 33: 5.85264 34: 5.49724 35: 9.17194 36: 2.85839 37: 7.572 38: 7.53729 39: 3.80446 40: 5.67822 41: 0.758543 42: 0.539501 43: 5.30798 44: 7.79167 45: 9.34011 46: 1.29906 47: 5.68824 48: 4.69391 49: 0.119021 50: 3.37123 Discrete histogram data: 1: 0 0 2: 0.119021 0.0741426 3: 0.539501 0.0625467 4: 0.758543 0.0614935 5: 1.18998 0.0740029 6: 1.29906 0.203803 7: 1.38624 0.206315 8: 1.49294 0.166755 9: 1.62612 0.0845644 10: 1.96595 0.0653593 11: 2.23812 0.0852338 12: 2.43525 0.146671 13: 2.51084 0.371844 14: 2.54282 0.997194 15: 2.55095 1.2399 16: 2.57508 0.191114 17: 2.76025 0.141189 18: 2.85839 0.0654691 19: 3.37123 0.0733316 20: 3.40386 0.311015 21: 3.49984 0.354806 22: 3.5166 0.131311 23: 3.80446 0.0339757 24: 4.69391 0.0430835 25: 4.73289 0.138058 26: 4.98364 0.122443 27: 5.05957 0.123329 28: 5.30798 0.0969498 29: 5.47216 0.211349 30: 5.49724 0.194117 31: 5.67822 0.209424 32: 5.68824 0.229326 33: 5.85264 0.243248 34: 5.85268 0.129952 35: 6.16045 0.0572818 36: 6.55098 0.0628358 37: 6.79703 0.0909531 38: 6.99077 0.0558937 39: 7.51267 0.0731899 40: 7.53729 0.674176 41: 7.572 0.157244 42: 7.79167 0.0700714 43: 8.14285 0.0774273 44: 8.30829 0.151329 45: 8.40717 0.0665839 46: 8.90903 0.0523037 47: 9.17194 0.104274 48: 9.29264 0.237854 49: 9.34011 0.13321 50: 9.59291 0.155441 51: 9.59744 0.0982594 52: 10 0 Discrete PDF/CDF table: 1: 0 0 0 2: 0.5 0.063636 0.0306576 3: 1 0.0684945 0.0624281 4: 1.5 0.162398 0.130058 5: 2 0.0678455 0.173373 6: 2.5 0.339556 0.230198 7: 3 0.0676402 0.332637 8: 3.5 0.35264 0.397085 9: 4 0.035978 0.43173 10: 4.5 0.0410979 0.450999 11: 5 0.122634 0.497356 12: 5.5 0.194351 0.562971 13: 6 0.0951664 0.656585 14: 6.5 0.0621108 0.689085 15: 7 0.0561997 0.725932 16: 7.5 0.07277 0.758174 17: 8 0.0744351 0.822749 18: 8.5 0.0639425 0.86935 19: 9 0.0702861 0.8987 20: 9.5 0.14727 0.965585 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: -1.79468 2: 0.840376 3: -0.888032 4: 0.100093 5: -0.544529 6: 0.303521 7: -0.600327 8: 0.489965 9: 0.739363 10: 1.71189 11: -0.194124 12: -2.13836 13: -0.839589 14: 1.35459 15: -1.07216 16: 0.960954 17: 0.12405 18: 1.4367 19: -1.9609 20: -0.197698 21: -1.20785 22: 2.90801 23: 0.825219 24: 1.37897 25: -1.05818 26: -0.468616 27: -0.272469 28: 1.09842 29: -0.277872 30: 0.701541 31: -2.05182 32: -0.35385 33: -0.823587 34: -1.57706 35: 0.507975 36: 0.281984 37: 0.0334799 38: -1.33368 39: 1.12749 40: 0.350179 41: -0.299066 42: 0.0228898 43: -0.261995 44: -1.75021 45: -0.285651 46: -0.831367 47: -0.979206 48: -1.1564 49: -0.533557 50: -2.00264 51: 0.964229 52: 0.52006 53: -0.0200279 54: -0.0347711 55: -0.798164 56: 1.01869 57: -0.133217 58: -0.71453 59: 1.35139 60: -0.224771 61: -0.589029 62: -0.293754 63: -0.847926 64: -1.12013 65: 2.526 66: 1.6555 67: 0.307535 68: -1.25712 69: -0.865468 70: -0.176534 71: 0.791416 72: -1.332 73: -2.32987 74: -1.4491 75: 0.333511 76: 0.391354 77: 0.451679 78: -0.130285 79: 0.183689 80: -0.476153 81: 0.862022 82: -1.36169 83: 0.45503 84: -0.848709 85: -0.334887 86: 0.552783 87: 1.03909 88: -1.11764 89: 1.26066 90: 0.660143 91: -0.0678656 92: -0.195221 93: -0.217606 94: -0.303108 95: 0.0230456 96: 0.0512904 97: 0.826063 98: 1.52698 99: 0.466914 100: -0.209713 101: 0.62519 102: 0.183227 103: -1.02977 104: 0.949222 105: 0.307062 106: 0.135175 107: 0.515246 108: 0.261406 109: -0.941486 110: -0.162338 111: -0.146055 112: -0.532011 113: 1.6821 114: -0.875729 115: -0.483815 116: -0.712005 117: -1.17421 118: -0.19224 119: -0.27407 120: 1.53007 121: -0.249025 122: -1.06421 123: 1.60346 124: 1.23468 125: -0.229626 126: -1.50616 127: -0.444628 128: -0.155941 129: 0.276068 130: -0.261164 131: 0.443422 132: 0.391894 133: -1.25068 134: -0.947961 135: -0.741106 136: -0.507818 137: -0.320576 138: 0.012469 139: -3.02918 140: -0.457015 141: 1.24245 142: -1.0667 143: 0.933728 144: 0.350321 145: -0.0290058 146: 0.182452 147: -1.56506 148: -0.0845395 149: 1.60395 150: 0.0983478 151: 0.0413736 152: -0.734169 153: -0.0308137 154: 0.232347 155: 0.426388 156: -0.372809 157: -0.236455 158: 2.02369 159: -2.25835 160: 2.22945 161: 0.337564 162: 1.00006 163: -1.66416 164: -0.590035 165: -0.278064 166: 0.422716 167: -1.6702 168: 0.471634 169: -1.21285 170: 0.06619 171: 0.652356 172: 0.32706 173: 1.08263 174: 1.00608 175: -0.650908 176: 0.257056 177: -0.944378 178: -1.32179 179: 0.924826 180: 4.98491e-05 181: -0.0549189 182: 0.911127 183: 0.594584 184: 0.350201 185: 1.25025 186: 0.929789 187: 0.239763 188: -0.690361 189: -0.651554 190: 1.1921 191: -1.61183 192: -0.0244619 193: -1.94885 194: 1.0205 195: 0.861716 196: 0.00116208 197: -0.0708372 198: -2.48628 199: 0.581172 200: -2.19243 Discrete histogram data: 1: -5 0 2: -3.02918 0.00397817 3: -2.48628 0.0142998 4: -2.32987 0.0438731 5: -2.25835 0.0727631 6: -2.19243 0.0833342 7: -2.13836 0.0711143 8: -2.05182 0.0736814 9: -2.00264 0.109991 10: -1.9609 0.185913 11: -1.94885 0.0601608 12: -1.79468 0.0503436 13: -1.75021 0.0803354 14: -1.6702 0.116214 15: -1.66416 0.17132 16: -1.61183 0.114801 17: -1.57706 0.213792 18: -1.56506 0.141049 19: -1.50616 0.0862376 20: -1.4491 0.0692208 21: -1.36169 0.0866406 22: -1.33368 0.336813 23: -1.332 0.841084 24: -1.32179 0.133536 25: -1.25712 0.140628 26: -1.25068 0.225881 27: -1.21285 0.233463 28: -1.20785 0.258834 29: -1.17421 0.194387 30: -1.1564 0.184897 31: -1.12013 0.257978 32: -1.11764 0.208451 33: -1.07216 0.19632 34: -1.0667 1.25915 35: -1.06421 1.17355 36: -1.05818 0.290311 37: -1.02977 0.126624 38: -0.979206 0.122239 39: -0.947961 0.287121 40: -0.944378 1.54437 41: -0.941486 0.177476 42: -0.888032 0.152076 43: -0.875729 0.443183 44: -0.865468 0.370097 45: -0.848709 0.570067 46: -0.847926 1.09642 47: -0.839589 0.603875 48: -0.831367 0.624913 49: -0.823587 0.301178 50: -0.798164 0.121241 51: -0.741106 0.156263 52: -0.734169 0.37628 53: -0.71453 0.451171 54: -0.712005 0.413752 55: -0.690361 0.165423 56: -0.651554 0.253464 57: -0.650908 0.195209 58: -0.600327 0.164276 59: -0.590035 0.885149 60: -0.589029 0.219753 61: -0.544529 0.180271 62: -0.533557 0.798878 63: -0.532011 0.388507 64: -0.507818 0.207485 65: -0.483815 0.315811 66: -0.476153 0.657918 67: -0.468616 0.52251 68: -0.457015 0.416879 69: -0.444628 0.118757 70: -0.372809 0.110159 71: -0.35385 0.263701 72: -0.334887 0.300531 73: -0.320576 0.31467 74: -0.303108 0.464911 75: -0.299066 1.06906 76: -0.293754 0.745431 77: -0.285651 0.637372 78: -0.278064 1.28551 79: -0.277872 2.5038 80: -0.27407 1.85099 81: -0.272469 0.828171 82: -0.261995 0.884505 83: -0.261164 0.770969 84: -0.249025 0.40471 85: -0.236455 0.515509 86: -0.229626 0.855906 87: -0.224771 0.83194 88: -0.217606 0.664111 89: -0.209713 0.502307 90: -0.197698 0.690029 91: -0.195221 2.79745 92: -0.194124 3.35381 93: -0.19224 0.568524 94: -0.176534 0.334428 95: -0.162338 0.4856 96: -0.155941 0.614136 97: -0.146055 0.440072 98: -0.133217 0.634116 99: -0.130285 0.205432 100: -0.0845395 0.168216 101: -0.0708372 0.599739 102: -0.0678656 0.628208 103: -0.0549189 0.302165 104: -0.0347711 0.414849 105: -0.0308137 1.73451 106: -0.0290058 1.57436 107: -0.0244619 1.11384 108: -0.0200279 0.407967 109: 4.98491e-05 0.471922 110: 0.00116208 0.805205 111: 0.012469 0.460242 112: 0.0228898 0.945485 113: 0.0230456 0.944279 114: 0.0334799 0.545614 115: 0.0413736 0.561467 116: 0.0512904 0.402959 117: 0.06619 0.212506 118: 0.0983478 0.294961 119: 0.100093 0.389074 120: 0.12405 0.285046 121: 0.135175 0.171226 122: 0.182452 0.208106 123: 0.183227 8.08454 124: 0.183689 0.203584 125: 0.232347 0.178335 126: 0.239763 0.404708 127: 0.257056 0.462042 128: 0.261406 0.525981 129: 0.276068 0.485962 130: 0.281984 0.364265 131: 0.303521 0.398758 132: 0.307062 2.49105 133: 0.307535 0.500049 134: 0.32706 0.384976 135: 0.333511 0.952042 136: 0.337564 0.599931 137: 0.350179 0.791297 138: 0.350201 70.6261 139: 0.350321 0.242999 140: 0.391354 0.24054 141: 0.391894 0.318856 142: 0.422716 0.289911 143: 0.426388 0.482947 144: 0.443422 0.395384 145: 0.451679 0.861501 146: 0.45503 0.656383 147: 0.466914 0.602237 148: 0.471634 0.433823 149: 0.489965 0.275176 150: 0.507975 0.395554 151: 0.515246 0.827441 152: 0.52006 0.266404 153: 0.552783 0.163633 154: 0.581172 0.239232 155: 0.594584 0.22718 156: 0.62519 0.173094 157: 0.652356 0.2861 158: 0.660143 0.203312 159: 0.701541 0.126231 160: 0.739363 0.111266 161: 0.791416 0.116474 162: 0.825219 0.288628 163: 0.826063 0.659777 164: 0.840376 0.280477 165: 0.861716 0.461977 166: 0.862022 0.202384 167: 0.911127 0.159225 168: 0.924826 0.535843 169: 0.929789 1.12331 170: 0.933728 0.514605 171: 0.949222 0.3673 172: 0.960954 0.666329 173: 0.964229 0.255709 174: 1.00006 0.238962 175: 1.00608 0.536928 176: 1.01869 0.693438 177: 1.0205 0.490067 178: 1.03909 0.160939 179: 1.08263 0.168538 180: 1.09842 0.222922 181: 1.12749 0.10675 182: 1.1921 0.093295 183: 1.23468 0.198623 184: 1.24245 0.642175 185: 1.25025 0.54914 186: 1.26066 0.0988782 187: 1.35139 0.106456 188: 1.35459 0.3625 189: 1.37897 0.121799 190: 1.4367 0.0675654 191: 1.52698 0.107094 192: 1.53007 0.130752 193: 1.60346 0.135366 194: 1.60395 0.192159 195: 1.6555 0.127947 196: 1.6821 0.177336 197: 1.71189 0.0292751 198: 2.02369 0.0193215 199: 2.22945 0.0199081 200: 2.526 0.014737 201: 2.90801 0.00404204 202: 5 0 Discrete PDF/CDF table: 1: -5 0 0 2: -4.9 0.000201853 1.00927e-05 3: -4.8 0.000403707 4.03707e-05 4: -4.7 0.00060556 9.08341e-05 5: -4.6 0.000807414 0.000161483 6: -4.5 0.00100927 0.000252317 7: -4.4 0.00121112 0.000363336 8: -4.3 0.00141297 0.000494541 9: -4.2 0.00161483 0.000645931 10: -4.1 0.00181668 0.000817507 11: -4 0.00201853 0.00100927 12: -3.9 0.00222039 0.00122121 13: -3.8 0.00242224 0.00145335 14: -3.7 0.0026241 0.00170566 15: -3.6 0.00282595 0.00197816 16: -3.5 0.0030278 0.00227085 17: -3.4 0.00322966 0.00258372 18: -3.3 0.00343151 0.00291678 19: -3.2 0.00363336 0.00327003 20: -3.1 0.00383522 0.00364346 21: -3 0.0045329 0.0040443 22: -2.9 0.00643413 0.00459265 23: -2.8 0.00833535 0.00533113 24: -2.7 0.0102366 0.00625973 25: -2.6 0.0121378 0.00737844 26: -2.5 0.014039 0.00868729 27: -2.4 0.0306133 0.0108193 28: -2.3 0.0559389 0.0149218 29: -2.2 0.0821211 0.0221208 30: -2.1 0.0722521 0.0296723 31: -2 0.114786 0.0380009 32: -1.9 0.0570503 0.0482253 33: -1.8 0.0506825 0.0536119 34: -1.7 0.102852 0.0613852 35: -1.6 0.148479 0.0745613 36: -1.5 0.0844007 0.0880651 37: -1.4 0.0790061 0.0956137 38: -1.3 0.135926 0.113618 39: -1.2 0.2438 0.132619 40: -1.1 0.203746 0.153895 41: -1 0.124043 0.18053 42: -0.9 0.157763 0.20221 43: -0.8 0.134239 0.241307 44: -0.7 0.276017 0.264663 45: -0.6 0.187149 0.284212 46: -0.5 0.242766 0.31427 47: -0.4 0.113414 0.340916 48: -0.3 0.929447 0.366227 49: -0.2 0.654067 0.442598 50: -0.1 0.180794 0.49115 51: 0 0.471763 0.539714 52: 0.1 0.384068 0.585304 53: 0.2 0.19512 0.613299 54: 0.3 0.393119 0.6479 55: 0.4 0.311244 0.69764 56: 0.5 0.34225 0.74062 57: 0.6 0.217608 0.767728 58: 0.7 0.129101 0.787416 59: 0.8 0.160191 0.799219 60: 0.9 0.169005 0.827083 61: 1 0.23899 0.864267 62: 1.1 0.216626 0.892106 63: 1.2 0.112834 0.903828 64: 1.3 0.102164 0.924469 65: 1.4 0.102043 0.938838 66: 1.5 0.0952824 0.947105 67: 1.6 0.135149 0.959499 68: 1.7 0.0883707 0.974737 69: 1.8 0.0264623 0.977892 70: 1.9 0.0232701 0.980378 71: 2 0.0200778 0.982546 72: 2.1 0.0195391 0.984495 73: 2.2 0.0198241 0.986463 74: 2.3 0.0186778 0.988409 75: 2.4 0.0169341 0.99019 76: 2.5 0.0151904 0.991796 77: 2.6 0.0126653 0.993199 78: 2.7 0.00986559 0.994326 79: 2.8 0.00706591 0.995172 80: 2.9 0.00426624 0.995739 81: 3 0.00386429 0.996136 82: 3.1 0.00367108 0.996512 83: 3.2 0.00347787 0.99687 84: 3.3 0.00328465 0.997208 85: 3.4 0.00309144 0.997527 86: 3.5 0.00289822 0.997826 87: 3.6 0.00270501 0.998106 88: 3.7 0.00251179 0.998367 89: 3.8 0.00231858 0.998609 90: 3.9 0.00212536 0.998831 91: 4 0.00193215 0.999034 92: 4.1 0.00173893 0.999217 93: 4.2 0.00154572 0.999382 94: 4.3 0.0013525 0.999527 95: 4.4 0.00115929 0.999652 96: 4.5 0.000966074 0.999758 97: 4.6 0.000772859 0.999845 98: 4.7 0.000579644 0.999913 99: 4.8 0.000386429 0.999961 100: 4.9 0.000193215 0.99999 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. 07-Jan-2022 21:43:11