12-Jun-2023 06:28:12 histogram_discrete_test(): MATLAB/Octave version 5.2.0 Test histogram_discrete(). setup_discrete_test(): setup_discrete() sets up data for a discrete histogram. S_MIN = 10 S_MAX = 20 Sample data: 1: 19 2: 14 3: 19 4: 14 5: 14 6: 13 7: 15 8: 16 9: 20 10: 11 11: 18 12: 17 13: 18 14: 17 15: 20 16: 13 17: 13 18: 15 19: 15 20: 19 21: 13 22: 12 23: 13 24: 20 25: 18 26: 15 27: 14 28: 11 29: 18 30: 11 31: 14 32: 13 33: 13 34: 13 35: 20 36: 13 37: 16 38: 14 39: 19 40: 14 41: 17 42: 18 43: 17 44: 16 45: 20 46: 12 47: 14 48: 13 49: 13 50: 18 Discrete histogram data: 1: 10 0 2: 11 0.06 3: 12 0.04 4: 13 0.22 5: 14 0.16 6: 15 0.08 7: 16 0.06 8: 17 0.08 9: 18 0.12 10: 19 0.08 11: 20 0.2 Integral of Y(X) = 1 S_MIN = 12 S_MAX = 17 Discrete histogram data: 1: 12 0.2 2: 13 0.22 3: 14 0.16 4: 15 0.08 5: 16 0.06 6: 17 0.76 Integral of Y(X) = 1 S_MIN = 5 S_MAX = 23 Discrete histogram data: 1: 5 0 2: 11 0.0171429 3: 12 0.04 4: 13 0.22 5: 14 0.16 6: 15 0.08 7: 16 0.06 8: 17 0.08 9: 18 0.12 10: 19 0.08 11: 20 0.05 12: 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 Graphics saved 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 Graphics saved 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: 2.01095 2: 4.63273 3: 6.92601 4: 3.02013 5: 2.62808 6: 6.17578 7: 1.04603 8: 6.24308 9: 8.43939 10: 5.05191 11: 8.74755 12: 3.15823 13: 3.6923 14: 7.33381 15: 9.10669 16: 5.65486 17: 1.71934 18: 4.12527 19: 7.98811 20: 6.62054 21: 2.76619 22: 1.68604 23: 2.60938 24: 9.57636 25: 9.61299 26: 4.1572 27: 7.10267 28: 6.58493 29: 2.66489 30: 5.63122 31: 2.11119 32: 9.2548 33: 7.75185 34: 1.513 35: 6.29152 36: 0.19503 37: 4.05204 38: 2.54693 39: 9.56989 40: 3.69961 41: 1.31846 42: 5.97909 43: 1.04524 44: 4.11622 45: 6.21999 46: 1.09023 47: 0.379196 48: 7.92127 49: 1.49256 50: 8.08398 Discrete histogram data: 1: 0 0 2: 0.19503 0.105486 3: 0.379196 0.0470475 4: 1.04524 0.0599845 5: 1.04603 0.888972 6: 1.09023 0.146828 7: 1.31846 0.0994203 8: 1.49256 0.205612 9: 1.513 0.206747 10: 1.68604 0.193859 11: 1.71934 0.12311 12: 2.01095 0.102079 13: 2.11119 0.0746302 14: 2.54693 0.0802911 15: 2.60938 0.492917 16: 2.62808 0.720606 17: 2.66489 0.289608 18: 2.76619 0.112601 19: 3.02013 0.102032 20: 3.15823 0.0595085 21: 3.6923 0.0738857 22: 3.69961 0.111191 23: 4.05204 0.0960112 24: 4.11622 0.546234 25: 4.12527 0.976163 26: 4.1572 0.0788237 27: 4.63273 0.0447074 28: 5.05191 0.0400603 29: 5.63122 0.0663401 30: 5.65486 0.114985 31: 5.97909 0.0767868 32: 6.17578 0.166045 33: 6.21999 0.594418 34: 6.24308 0.559231 35: 6.29152 0.117009 36: 6.58493 0.121573 37: 6.62054 0.117276 38: 6.92601 0.0829652 39: 7.10267 0.0980871 40: 7.33381 0.0616166 41: 7.75185 0.0680896 42: 7.92127 0.169302 43: 7.98811 0.245843 44: 8.08398 0.0886371 45: 8.43939 0.0602798 46: 8.74755 0.0599424 47: 9.10669 0.0788565 48: 9.2548 0.086357 49: 9.56989 0.124392 50: 9.57636 0.927988 51: 9.61299 0.0944204 52: 10 0 Discrete PDF/CDF table: 1: 0 0 0 2: 0.5 0.0493939 0.0301575 3: 1 0.0591059 0.0572825 4: 1.5 0.206025 0.139429 5: 2 0.102869 0.213762 6: 2.5 0.0796815 0.253739 7: 3 0.102869 0.350893 8: 3.5 0.068709 0.38602 9: 4 0.0982527 0.431864 10: 4.5 0.0542299 0.504064 11: 5 0.0406358 0.526302 12: 5.5 0.0603873 0.550901 13: 6 0.086274 0.594153 14: 6.5 0.120252 0.687566 15: 7 0.0892988 0.739045 16: 7.5 0.06419 0.777575 17: 8 0.226343 0.831023 18: 8.5 0.0602134 0.874364 19: 9 0.0732376 0.906047 20: 9.5 0.115956 0.951199 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: 0.667407 2: -0.554971 3: 0.271688 4: -0.720305 5: -1.55155 6: 0.338475 7: 0.395423 8: 0.331219 9: -0.341464 10: -0.251484 11: -0.429546 12: 2.32518 13: 0.843988 14: -0.410057 15: -0.517837 16: 1.19437 17: -0.0220666 18: -1.73503 19: -0.887668 20: -0.40458 21: 0.298798 22: -0.416748 23: 2.24159 24: 1.4251 25: 0.739442 26: -1.07445 27: -1.27506 28: 0.624568 29: -0.259689 30: -0.699459 31: -0.115215 32: -0.35808 33: 0.132275 34: -0.34748 35: -0.621208 36: 0.28778 37: 0.00119097 38: 2.79917 39: 1.43866 40: 1.40218 41: 2.29822 42: -1.46434 43: 1.40928 44: -0.439772 45: -0.800023 46: 0.946096 47: 0.387233 48: -0.329094 49: -1.50354 50: -0.979353 51: -2.75665 52: 0.877804 53: 1.56792 54: 2.96975 55: 0.742504 56: 0.508772 57: -1.51289 58: -0.953572 59: 1.12798 60: -1.66039 61: -1.4201 62: -1.31896 63: 0.220651 64: 0.200665 65: -0.0220615 66: 0.567354 67: 1.05151 68: -1.39351 69: -0.789399 70: 0.80221 71: -0.0405342 72: -0.0256348 73: 0.676832 74: 2.154 75: -0.0564611 76: 0.783689 77: 0.508931 78: 0.327836 79: -0.341549 80: -2.20485 81: -1.24022 82: -0.814086 83: -1.88395 84: 1.97509 85: -0.224606 86: 0.0471535 87: 1.66977 88: -0.620908 89: -0.4523 90: -0.403422 91: -0.821086 92: 0.36046 93: 1.05978 94: 0.0655018 95: 0.328671 96: 0.243792 97: 0.209854 98: -1.03391 99: -0.70095 100: 1.30182 101: 0.471323 102: 0.520491 103: -0.953026 104: -0.552673 105: 0.420922 106: -0.972411 107: -0.454262 108: -1.11446 109: -0.678497 110: 0.0355251 111: -0.92482 112: -0.158841 113: 3.40726 114: 0.553902 115: 0.113281 116: 1.24859 117: 0.570464 118: -1.03237 119: -0.63295 120: -1.25308 121: 1.09974 122: 0.174657 123: -0.0580632 124: -2.67575 125: -0.840228 126: 0.29816 127: 1.85853 128: 0.905228 129: 0.867637 130: 2.36066 131: -0.804528 132: 1.48128 133: 0.00992791 134: 0.377786 135: 1.42661 136: 0.531687 137: 0.844941 138: -0.626382 139: -1.4871 140: -0.136901 141: -0.160628 142: 0.508094 143: 0.00224351 144: -0.510444 145: 0.416572 146: 0.804268 147: -0.345565 148: -0.359243 149: -0.423978 150: 0.36157 151: 1.10594 152: 2.12095 153: 1.69429 154: 0.661423 155: -0.550856 156: 0.443596 157: -0.806497 158: -1.51688 159: 1.53407 160: -2.12928 161: 2.66248 162: -1.16449 163: -1.48253 164: -0.715007 165: -0.097034 166: -0.676698 167: 1.03932 168: 0.609147 169: -0.33374 170: 0.193249 171: -0.642135 172: -0.555727 173: 0.120863 174: -1.16048 175: -0.170713 176: -0.710984 177: -0.546371 178: 0.0429281 179: 0.840981 180: 0.315715 181: -0.603487 182: -0.00706753 183: 0.00675383 184: 1.01124 185: 0.860596 186: 1.288 187: 1.38008 188: 1.2231 189: 1.34466 190: -2.26696 191: -0.436343 192: 0.626971 193: 0.0980787 194: -0.742135 195: -0.358993 196: 0.715475 197: 0.572318 198: 0.138469 199: 0.900099 200: 0.498992 Discrete histogram data: 1: -5 0 2: -2.75665 0.00430246 3: -2.67575 0.0204213 4: -2.26696 0.0212362 5: -2.20485 0.072629 6: -2.12928 0.0311624 7: -1.88395 0.0253648 8: -1.73503 0.0447293 9: -1.66039 0.0545005 10: -1.55155 0.0696834 11: -1.51688 0.258709 12: -1.51289 0.74959 13: -1.50354 0.387674 14: -1.4871 0.476079 15: -1.48253 0.439439 16: -1.46434 0.160162 17: -1.4201 0.141182 18: -1.39351 0.0988741 19: -1.31896 0.0844257 20: -1.27506 0.15179 21: -1.25308 0.287013 22: -1.24022 0.112879 23: -1.16449 0.125404 24: -1.16048 0.199886 25: -1.11446 0.116244 26: -1.07445 0.124156 27: -1.03391 0.237629 28: -1.03237 0.18328 29: -0.979353 0.166774 30: -0.972411 0.387881 31: -0.953572 0.515864 32: -0.953026 0.347802 33: -0.92482 0.153003 34: -0.887668 0.118214 35: -0.840228 0.150193 36: -0.821086 0.382524 37: -0.814086 0.685428 38: -0.806497 1.04623 39: -0.804528 1.54463 40: -0.800023 0.661001 41: -0.789399 0.172747 42: -0.742135 0.144731 43: -0.720305 0.368627 44: -0.715007 1.07276 45: -0.710984 0.711352 46: -0.70095 0.867702 47: -0.699459 0.445381 48: -0.678497 0.439343 49: -0.676698 0.275011 50: -0.642135 0.228584 51: -0.63295 0.634796 52: -0.626382 0.85167 53: -0.621208 1.82688 54: -0.620908 0.564291 55: -0.603487 0.153418 56: -0.555727 0.206119 57: -0.554971 3.27519 58: -0.552673 2.43013 59: -0.550856 1.5867 60: -0.546371 0.302855 61: -0.517837 0.278346 62: -0.510444 0.157293 63: -0.454262 0.171986 64: -0.4523 0.690131 65: -0.439772 0.62668 66: -0.436343 0.977975 67: -0.429546 0.80874 68: -0.423978 0.781381 69: -0.416748 0.718308 70: -0.410057 0.821784 71: -0.40458 1.50729 72: -0.403422 0.220569 73: -0.359243 0.225079 74: -0.358993 8.60406 75: -0.35808 0.868538 76: -0.34748 0.798987 77: -0.345565 1.6861 78: -0.341549 2.43859 79: -0.341464 1.28053 80: -0.33374 0.808398 81: -0.329094 0.135043 82: -0.259689 0.12885 83: -0.251484 0.285034 84: -0.224606 0.123807 85: -0.170713 0.156305 86: -0.160628 0.842305 87: -0.158841 0.421454 88: -0.136901 0.229224 89: -0.115215 0.250834 90: -0.097034 0.174971 91: -0.0580632 0.24647 92: -0.0564611 0.570485 93: -0.0405342 0.324398 94: -0.0256348 0.541486 95: -0.0220666 2.79856 96: -0.0220615 0.66671 97: -0.00706753 0.430061 98: 0.00119097 1.07399 99: 0.00224351 1.79764 100: 0.00675383 1.30134 101: 0.00992791 0.347568 102: 0.0355251 0.303029 103: 0.0429281 0.859969 104: 0.0471535 0.442992 105: 0.0655018 0.196366 106: 0.0980787 0.209298 107: 0.113281 0.438906 108: 0.120863 0.526473 109: 0.132275 0.567974 110: 0.138469 0.235947 111: 0.174657 0.182549 112: 0.193249 0.384502 113: 0.200665 0.602204 114: 0.209854 0.500355 115: 0.220651 0.294663 116: 0.243792 0.195934 117: 0.271688 0.227333 118: 0.28778 0.377768 119: 0.29816 0.907626 120: 0.298798 0.569642 121: 0.315715 0.344376 122: 0.327836 0.771792 123: 0.328671 2.9556 124: 0.331219 1.02002 125: 0.338475 0.341984 126: 0.36046 0.433006 127: 0.36157 0.577165 128: 0.377786 0.389657 129: 0.387233 0.567005 130: 0.395423 0.340848 131: 0.416572 0.392168 132: 0.420922 0.370038 133: 0.443596 0.198411 134: 0.471323 0.180519 135: 0.498992 0.271952 136: 0.508094 1.02251 137: 0.508772 11.9488 138: 0.508931 0.853281 139: 0.520491 0.439431 140: 0.531687 0.2993 141: 0.553902 0.280373 142: 0.567354 0.603813 143: 0.570464 2.01455 144: 0.572318 0.258512 145: 0.609147 0.191385 146: 0.624568 0.561047 147: 0.626971 0.271334 148: 0.661423 0.247304 149: 0.667407 0.648993 150: 0.676832 0.208036 151: 0.715475 0.159719 152: 0.739442 0.369977 153: 0.742504 0.226001 154: 0.783689 0.167488 155: 0.80221 0.485932 156: 0.804268 0.257921 157: 0.840981 0.251768 158: 0.843988 2.52535 159: 0.844941 0.602113 160: 0.860596 0.440603 161: 0.867637 0.581112 162: 0.877804 0.308054 163: 0.900099 0.364646 164: 0.905228 0.217408 165: 0.946096 0.0943306 166: 1.01124 0.107265 167: 1.03932 0.248321 168: 1.05151 0.488865 169: 1.05978 0.20734 170: 1.09974 0.216634 171: 1.10594 0.354039 172: 1.12798 0.113082 173: 1.19437 0.105131 174: 1.2231 0.184443 175: 1.24859 0.154103 176: 1.288 0.187859 177: 1.30182 0.176487 178: 1.34466 0.12778 179: 1.38008 0.173848 180: 1.40218 0.34251 181: 1.40928 0.436305 182: 1.4251 0.576924 183: 1.42661 0.737588 184: 1.43866 0.182912 185: 1.48128 0.104807 186: 1.53407 0.115414 187: 1.56792 0.073691 188: 1.66977 0.0791332 189: 1.69429 0.0529781 190: 1.85853 0.0356126 191: 1.97509 0.0381068 192: 2.12095 0.0558943 193: 2.154 0.0828879 194: 2.24159 0.0693376 195: 2.29822 0.119635 196: 2.32518 0.160173 197: 2.36066 0.0296472 198: 2.66248 0.0228046 199: 2.79917 0.032545 200: 2.96975 0.0164449 201: 3.40726 0.0049255 202: 5 0 Discrete PDF/CDF table: 1: -5 0 0 2: -4.9 0.000191787 9.58935e-06 3: -4.8 0.000383574 3.83574e-05 4: -4.7 0.000575361 8.63042e-05 5: -4.6 0.000767148 0.00015343 6: -4.5 0.000958935 0.000239734 7: -4.4 0.00115072 0.000345217 8: -4.3 0.00134251 0.000469878 9: -4.2 0.0015343 0.000613718 10: -4.1 0.00172608 0.000776737 11: -4 0.00191787 0.000958935 12: -3.9 0.00210966 0.00116031 13: -3.8 0.00230144 0.00138087 14: -3.7 0.00249323 0.0016206 15: -3.6 0.00268502 0.00187951 16: -3.5 0.00287681 0.0021576 17: -3.4 0.00306859 0.00245487 18: -3.3 0.00326038 0.00277132 19: -3.2 0.00345217 0.00310695 20: -3.1 0.00364395 0.00346176 21: -3 0.00383574 0.00383574 22: -2.9 0.00402753 0.0042289 23: -2.8 0.00421931 0.00464125 24: -2.7 0.0155891 0.00538937 25: -2.6 0.0205723 0.00737863 26: -2.5 0.0207717 0.00944583 27: -2.4 0.020971 0.011533 28: -2.3 0.0211703 0.01364 29: -2.2 0.0699667 0.0176015 30: -2.1 0.0304705 0.0220798 31: -2 0.0281073 0.0250087 32: -1.9 0.025744 0.0277012 33: -1.8 0.0362813 0.030699 34: -1.7 0.0493149 0.0349778 35: -1.6 0.0629242 0.0405795 36: -1.5 0.406702 0.0582187 37: -1.4 0.1092 0.0806392 38: -1.3 0.113521 0.0900235 39: -1.2 0.119531 0.1054 40: -1.1 0.119104 0.119376 41: -1 0.173202 0.135911 42: -0.9 0.129762 0.160667 43: -0.8 0.659942 0.191504 44: -0.7 0.598682 0.225049 45: -0.6 0.157266 0.266878 46: -0.5 0.160024 0.302239 47: -0.4 0.220919 0.350883 48: -0.3 0.132447 0.399205 49: -0.2 0.138645 0.414893 50: -0.1 0.187347 0.441053 51: 0 0.981131 0.483211 52: 0.1 0.238317 0.523839 53: 0.2 0.582685 0.556839 54: 0.3 0.553633 0.590857 55: 0.4 0.351955 0.642981 56: 0.5 0.355089 0.669078 57: 0.6 0.208057 0.716697 58: 0.7 0.179068 0.745465 59: 0.8 0.447938 0.768468 60: 0.9 0.364394 0.809029 61: 1 0.105033 0.822301 62: 1.1 0.222424 0.844386 63: 1.2 0.120669 0.859125 64: 1.3 0.177984 0.875897 65: 1.4 0.325883 0.893057 66: 1.5 0.108569 0.919231 67: 1.6 0.0754049 0.928639 68: 1.7 0.0523748 0.93595 69: 1.8 0.0418011 0.940659 70: 1.9 0.0365 0.94442 71: 2 0.0411442 0.948208 72: 2.1 0.0533395 0.952932 73: 2.2 0.0757721 0.960019 74: 2.3 0.122305 0.968602 75: 2.4 0.0287553 0.976675 76: 2.5 0.0264882 0.979437 77: 2.6 0.0242211 0.981972 78: 2.7 0.0254783 0.984347 79: 2.8 0.0324662 0.987251 80: 2.9 0.0230279 0.990026 81: 3 0.0156484 0.991888 82: 3.1 0.0130154 0.993321 83: 3.2 0.0103825 0.994491 84: 3.3 0.0077495 0.995398 85: 3.4 0.00511654 0.996041 86: 3.5 0.00463869 0.996521 87: 3.6 0.00432944 0.996969 88: 3.7 0.0040202 0.997387 89: 3.8 0.00371095 0.997773 90: 3.9 0.0034017 0.998129 91: 4 0.00309246 0.998454 92: 4.1 0.00278321 0.998748 93: 4.2 0.00247397 0.99901 94: 4.3 0.00216472 0.999242 95: 4.4 0.00185548 0.999443 96: 4.5 0.00154623 0.999613 97: 4.6 0.00123698 0.999753 98: 4.7 0.000927738 0.999861 99: 4.8 0.000618492 0.999938 100: 4.9 0.000309246 0.999985 101: 5 0 1 Graphics saved as "gaussian_pdf_discrete_test.png". Graphics saved as "gaussian_cdf_discrete_test.png". histogram_discrete_test(): Normal end of execution. 12-Jun-2023 06:28:14