24-Dec-2018 09:02:47 CVT_1D_LUMPING MATLAB version Use lumping to implement a version of Lloyd's algorithm in the 1D interval [-1,1]. Number of generators is 129 Number of iterations is 1000 Number of samples is 4000000 Initial generators (Uniform, staggered): 1 -0.984615 2 -0.969231 3 -0.953846 4 -0.938462 5 -0.923077 6 -0.907692 7 -0.892308 8 -0.876923 9 -0.861538 10 -0.846154 11 -0.830769 12 -0.815385 13 -0.800000 14 -0.784615 15 -0.769231 16 -0.753846 17 -0.738462 18 -0.723077 19 -0.707692 20 -0.692308 21 -0.676923 22 -0.661538 23 -0.646154 24 -0.630769 25 -0.615385 26 -0.600000 27 -0.584615 28 -0.569231 29 -0.553846 30 -0.538462 31 -0.523077 32 -0.507692 33 -0.492308 34 -0.476923 35 -0.461538 36 -0.446154 37 -0.430769 38 -0.415385 39 -0.400000 40 -0.384615 41 -0.369231 42 -0.353846 43 -0.338462 44 -0.323077 45 -0.307692 46 -0.292308 47 -0.276923 48 -0.261538 49 -0.246154 50 -0.230769 51 -0.215385 52 -0.200000 53 -0.184615 54 -0.169231 55 -0.153846 56 -0.138462 57 -0.123077 58 -0.107692 59 -0.092308 60 -0.076923 61 -0.061538 62 -0.046154 63 -0.030769 64 -0.015385 65 0.000000 66 0.015385 67 0.030769 68 0.046154 69 0.061538 70 0.076923 71 0.092308 72 0.107692 73 0.123077 74 0.138462 75 0.153846 76 0.169231 77 0.184615 78 0.200000 79 0.215385 80 0.230769 81 0.246154 82 0.261538 83 0.276923 84 0.292308 85 0.307692 86 0.323077 87 0.338462 88 0.353846 89 0.369231 90 0.384615 91 0.400000 92 0.415385 93 0.430769 94 0.446154 95 0.461538 96 0.476923 97 0.492308 98 0.507692 99 0.523077 100 0.538462 101 0.553846 102 0.569231 103 0.584615 104 0.600000 105 0.615385 106 0.630769 107 0.646154 108 0.661538 109 0.676923 110 0.692308 111 0.707692 112 0.723077 113 0.738462 114 0.753846 115 0.769231 116 0.784615 117 0.800000 118 0.815385 119 0.830769 120 0.846154 121 0.861538 122 0.876923 123 0.892308 124 0.907692 125 0.923077 126 0.938462 127 0.953846 128 0.969231 129 0.984615 Saved graphics file "density.png" Saved graphics file "energy_129_u.png" Saved graphics file "motion_129_u.png" Saved graphics file "evolution_129_u.png" CVT data: K G H rho H^3 mu H 1 -1.0000 0.0005951 0.00155 0.1157 2 -0.9988 0.001731 4.544e-05 0.03568 3 -0.9965 0.002859 4.047e-05 0.03433 4 -0.9931 0.003974 3.899e-05 0.03391 5 -0.9886 0.005071 3.812e-05 0.03365 6 -0.9830 0.006145 3.739e-05 0.03344 7 -0.9763 0.007191 3.668e-05 0.03323 8 -0.9686 0.008205 3.593e-05 0.033 9 -0.9599 0.009182 3.513e-05 0.03275 10 -0.9502 0.01012 3.428e-05 0.03248 11 -0.9397 0.01101 3.338e-05 0.0322 12 -0.9282 0.01186 3.243e-05 0.03189 13 -0.9159 0.01267 3.144e-05 0.03156 14 -0.9029 0.01342 3.041e-05 0.03121 15 -0.8891 0.01412 2.937e-05 0.03085 16 -0.8747 0.01477 2.83e-05 0.03047 17 -0.8596 0.01537 2.721e-05 0.03008 18 -0.8439 0.01592 2.613e-05 0.02967 19 -0.8278 0.01642 2.504e-05 0.02926 20 -0.8111 0.01686 2.396e-05 0.02883 21 -0.7940 0.01726 2.29e-05 0.0284 22 -0.7766 0.01761 2.186e-05 0.02796 23 -0.7588 0.01792 2.083e-05 0.02752 24 -0.7408 0.01819 1.984e-05 0.02707 25 -0.7224 0.01841 1.888e-05 0.02663 26 -0.7039 0.0186 1.795e-05 0.02618 27 -0.6853 0.01875 1.705e-05 0.02574 28 -0.6664 0.01886 1.619e-05 0.0253 29 -0.6475 0.01895 1.538e-05 0.02487 30 -0.6285 0.01901 1.46e-05 0.02444 31 -0.6095 0.01904 1.385e-05 0.02402 32 -0.5905 0.01905 1.315e-05 0.02361 33 -0.5714 0.01904 1.249e-05 0.0232 34 -0.5524 0.01901 1.187e-05 0.02281 35 -0.5334 0.01897 1.128e-05 0.02243 36 -0.5144 0.01891 1.073e-05 0.02206 37 -0.4956 0.01885 1.022e-05 0.0217 38 -0.4767 0.01877 9.736e-06 0.02135 39 -0.4580 0.01869 9.287e-06 0.02102 40 -0.4394 0.0186 8.87e-06 0.0207 41 -0.4208 0.0185 8.482e-06 0.02039 42 -0.4024 0.0184 8.123e-06 0.0201 43 -0.3840 0.0183 7.79e-06 0.01982 44 -0.3657 0.0182 7.482e-06 0.01956 45 -0.3476 0.0181 7.198e-06 0.01931 46 -0.3295 0.01801 6.937e-06 0.01907 47 -0.3116 0.01791 6.697e-06 0.01885 48 -0.2937 0.01782 6.477e-06 0.01864 49 -0.2759 0.01773 6.275e-06 0.01845 50 -0.2582 0.01764 6.091e-06 0.01826 51 -0.2406 0.01756 5.923e-06 0.01809 52 -0.2231 0.01749 5.771e-06 0.01794 53 -0.2057 0.01741 5.634e-06 0.01779 54 -0.1883 0.01735 5.511e-06 0.01766 55 -0.1710 0.01729 5.401e-06 0.01755 56 -0.1537 0.01723 5.304e-06 0.01744 57 -0.1365 0.01718 5.218e-06 0.01734 58 -0.1193 0.01714 5.144e-06 0.01726 59 -0.1022 0.0171 5.081e-06 0.01719 60 -0.0851 0.01707 5.028e-06 0.01713 61 -0.0681 0.01704 4.985e-06 0.01708 62 -0.0510 0.01702 4.953e-06 0.01705 63 -0.0340 0.01701 4.93e-06 0.01702 64 -0.0170 0.017 4.917e-06 0.017 65 0.0000 0.01698 4.896e-06 0.01698 66 0.0170 0.01697 4.885e-06 0.01697 67 0.0339 0.01698 4.9e-06 0.01699 68 0.0509 0.01699 4.925e-06 0.01701 69 0.0679 0.01701 4.958e-06 0.01705 70 0.0850 0.01704 5.002e-06 0.0171 71 0.1020 0.01707 5.056e-06 0.01716 72 0.1191 0.01711 5.12e-06 0.01724 73 0.1362 0.01716 5.195e-06 0.01732 74 0.1534 0.01721 5.282e-06 0.01741 75 0.1707 0.01727 5.38e-06 0.01752 76 0.1880 0.01733 5.491e-06 0.01764 77 0.2053 0.01739 5.615e-06 0.01777 78 0.2228 0.01747 5.752e-06 0.01792 79 0.2403 0.01754 5.904e-06 0.01807 80 0.2579 0.01763 6.072e-06 0.01824 81 0.2755 0.01771 6.256e-06 0.01843 82 0.2933 0.0178 6.458e-06 0.01862 83 0.3111 0.0179 6.679e-06 0.01883 84 0.3291 0.01799 6.919e-06 0.01906 85 0.3471 0.01809 7.18e-06 0.01929 86 0.3653 0.01819 7.464e-06 0.01954 87 0.3835 0.01829 7.771e-06 0.01981 88 0.4019 0.01839 8.104e-06 0.02009 89 0.4203 0.01849 8.463e-06 0.02038 90 0.4389 0.01859 8.85e-06 0.02068 91 0.4575 0.01868 9.267e-06 0.021 92 0.4762 0.01876 9.714e-06 0.02134 93 0.4950 0.01884 1.019e-05 0.02168 94 0.5139 0.01891 1.071e-05 0.02204 95 0.5328 0.01897 1.126e-05 0.02241 96 0.5518 0.01901 1.184e-05 0.02279 97 0.5709 0.01904 1.247e-05 0.02319 98 0.5899 0.01905 1.313e-05 0.02359 99 0.6090 0.01904 1.383e-05 0.024 100 0.6280 0.01901 1.457e-05 0.02442 101 0.6470 0.01895 1.534e-05 0.02485 102 0.6659 0.01886 1.616e-05 0.02528 103 0.6847 0.01875 1.702e-05 0.02572 104 0.7034 0.0186 1.791e-05 0.02616 105 0.7219 0.01841 1.884e-05 0.02661 106 0.7402 0.01819 1.98e-05 0.02705 107 0.7583 0.01793 2.08e-05 0.0275 108 0.7760 0.01762 2.182e-05 0.02794 109 0.7935 0.01727 2.286e-05 0.02838 110 0.8106 0.01687 2.392e-05 0.02881 111 0.8272 0.01643 2.5e-05 0.02924 112 0.8434 0.01593 2.609e-05 0.02966 113 0.8591 0.01539 2.718e-05 0.03007 114 0.8742 0.01479 2.826e-05 0.03046 115 0.8887 0.01414 2.934e-05 0.03084 116 0.9025 0.01344 3.039e-05 0.03121 117 0.9155 0.01269 3.142e-05 0.03156 118 0.9278 0.01189 3.242e-05 0.03189 119 0.9393 0.01104 3.338e-05 0.0322 120 0.9499 0.01015 3.43e-05 0.03249 121 0.9596 0.009216 3.516e-05 0.03276 122 0.9684 0.008239 3.598e-05 0.03301 123 0.9761 0.007226 3.675e-05 0.03325 124 0.9828 0.006181 3.75e-05 0.03347 125 0.9884 0.005107 3.826e-05 0.0337 126 0.9930 0.004008 3.917e-05 0.03396 127 0.9965 0.002891 4.07e-05 0.0344 128 0.9988 0.001759 4.567e-05 0.03575 129 1.0000 0.0006165 0.0008145 0.09339 Chebyshev Zero Node data for comparison K G H rho H^3 mu H 1 -0.9999 0.0003706 2.82e-05 0.03044 2 -0.9993 0.0008893 1.444e-05 0.02435 3 -0.9981 0.001482 1.444e-05 0.02435 4 -0.9964 0.002073 1.444e-05 0.02435 5 -0.9940 0.002663 1.444e-05 0.02435 6 -0.9910 0.003252 1.444e-05 0.02435 7 -0.9875 0.003839 1.444e-05 0.02435 8 -0.9834 0.004423 1.444e-05 0.02435 9 -0.9787 0.005005 1.444e-05 0.02435 10 -0.9734 0.005584 1.444e-05 0.02435 11 -0.9675 0.006159 1.444e-05 0.02435 12 -0.9610 0.006731 1.444e-05 0.02435 13 -0.9540 0.007299 1.444e-05 0.02435 14 -0.9464 0.007862 1.444e-05 0.02435 15 -0.9383 0.008421 1.444e-05 0.02435 16 -0.9296 0.008975 1.444e-05 0.02435 17 -0.9203 0.009524 1.444e-05 0.02435 18 -0.9105 0.01007 1.444e-05 0.02435 19 -0.9002 0.0106 1.444e-05 0.02435 20 -0.8893 0.01113 1.444e-05 0.02435 21 -0.8779 0.01166 1.444e-05 0.02435 22 -0.8660 0.01218 1.444e-05 0.02435 23 -0.8536 0.01269 1.444e-05 0.02435 24 -0.8407 0.01319 1.444e-05 0.02435 25 -0.8272 0.01368 1.444e-05 0.02435 26 -0.8133 0.01417 1.444e-05 0.02435 27 -0.7989 0.01465 1.444e-05 0.02435 28 -0.7840 0.01512 1.444e-05 0.02435 29 -0.7686 0.01558 1.444e-05 0.02435 30 -0.7528 0.01603 1.444e-05 0.02435 31 -0.7366 0.01647 1.444e-05 0.02435 32 -0.7199 0.0169 1.444e-05 0.02435 33 -0.7028 0.01732 1.444e-05 0.02435 34 -0.6853 0.01773 1.444e-05 0.02435 35 -0.6673 0.01814 1.444e-05 0.02435 36 -0.6490 0.01853 1.444e-05 0.02435 37 -0.6303 0.01891 1.444e-05 0.02435 38 -0.6112 0.01927 1.444e-05 0.02435 39 -0.5917 0.01963 1.444e-05 0.02435 40 -0.5719 0.01998 1.444e-05 0.02435 41 -0.5518 0.02031 1.444e-05 0.02435 42 -0.5313 0.02063 1.444e-05 0.02435 43 -0.5105 0.02094 1.444e-05 0.02435 44 -0.4894 0.02124 1.444e-05 0.02435 45 -0.4680 0.02152 1.444e-05 0.02435 46 -0.4464 0.02179 1.444e-05 0.02435 47 -0.4245 0.02205 1.444e-05 0.02435 48 -0.4023 0.02229 1.444e-05 0.02435 49 -0.3799 0.02253 1.444e-05 0.02435 50 -0.3572 0.02274 1.444e-05 0.02435 51 -0.3344 0.02295 1.444e-05 0.02435 52 -0.3113 0.02314 1.444e-05 0.02435 53 -0.2881 0.02332 1.444e-05 0.02435 54 -0.2647 0.02348 1.444e-05 0.02435 55 -0.2411 0.02363 1.444e-05 0.02435 56 -0.2174 0.02377 1.444e-05 0.02435 57 -0.1936 0.02389 1.444e-05 0.02435 58 -0.1696 0.024 1.444e-05 0.02435 59 -0.1456 0.02409 1.444e-05 0.02435 60 -0.1215 0.02417 1.444e-05 0.02435 61 -0.0973 0.02424 1.444e-05 0.02435 62 -0.0730 0.02429 1.444e-05 0.02435 63 -0.0487 0.02432 1.444e-05 0.02435 64 -0.0244 0.02434 1.444e-05 0.02435 65 0.0000 0.02435 1.444e-05 0.02435 66 0.0244 0.02434 1.444e-05 0.02435 67 0.0487 0.02432 1.444e-05 0.02435 68 0.0730 0.02429 1.444e-05 0.02435 69 0.0973 0.02424 1.444e-05 0.02435 70 0.1215 0.02417 1.444e-05 0.02435 71 0.1456 0.02409 1.444e-05 0.02435 72 0.1696 0.024 1.444e-05 0.02435 73 0.1936 0.02389 1.444e-05 0.02435 74 0.2174 0.02377 1.444e-05 0.02435 75 0.2411 0.02363 1.444e-05 0.02435 76 0.2647 0.02348 1.444e-05 0.02435 77 0.2881 0.02332 1.444e-05 0.02435 78 0.3113 0.02314 1.444e-05 0.02435 79 0.3344 0.02295 1.444e-05 0.02435 80 0.3572 0.02274 1.444e-05 0.02435 81 0.3799 0.02253 1.444e-05 0.02435 82 0.4023 0.02229 1.444e-05 0.02435 83 0.4245 0.02205 1.444e-05 0.02435 84 0.4464 0.02179 1.444e-05 0.02435 85 0.4680 0.02152 1.444e-05 0.02435 86 0.4894 0.02124 1.444e-05 0.02435 87 0.5105 0.02094 1.444e-05 0.02435 88 0.5313 0.02063 1.444e-05 0.02435 89 0.5518 0.02031 1.444e-05 0.02435 90 0.5719 0.01998 1.444e-05 0.02435 91 0.5917 0.01963 1.444e-05 0.02435 92 0.6112 0.01927 1.444e-05 0.02435 93 0.6303 0.01891 1.444e-05 0.02435 94 0.6490 0.01853 1.444e-05 0.02435 95 0.6673 0.01814 1.444e-05 0.02435 96 0.6853 0.01773 1.444e-05 0.02435 97 0.7028 0.01732 1.444e-05 0.02435 98 0.7199 0.0169 1.444e-05 0.02435 99 0.7366 0.01647 1.444e-05 0.02435 100 0.7528 0.01603 1.444e-05 0.02435 101 0.7686 0.01558 1.444e-05 0.02435 102 0.7840 0.01512 1.444e-05 0.02435 103 0.7989 0.01465 1.444e-05 0.02435 104 0.8133 0.01417 1.444e-05 0.02435 105 0.8272 0.01368 1.444e-05 0.02435 106 0.8407 0.01319 1.444e-05 0.02435 107 0.8536 0.01269 1.444e-05 0.02435 108 0.8660 0.01218 1.444e-05 0.02435 109 0.8779 0.01166 1.444e-05 0.02435 110 0.8893 0.01113 1.444e-05 0.02435 111 0.9002 0.0106 1.444e-05 0.02435 112 0.9105 0.01007 1.444e-05 0.02435 113 0.9203 0.009524 1.444e-05 0.02435 114 0.9296 0.008975 1.444e-05 0.02435 115 0.9383 0.008421 1.444e-05 0.02435 116 0.9464 0.007862 1.444e-05 0.02435 117 0.9540 0.007299 1.444e-05 0.02435 118 0.9610 0.006731 1.444e-05 0.02435 119 0.9675 0.006159 1.444e-05 0.02435 120 0.9734 0.005584 1.444e-05 0.02435 121 0.9787 0.005005 1.444e-05 0.02435 122 0.9834 0.004423 1.444e-05 0.02435 123 0.9875 0.003839 1.444e-05 0.02435 124 0.9910 0.003252 1.444e-05 0.02435 125 0.9940 0.002663 1.444e-05 0.02435 126 0.9964 0.002073 1.444e-05 0.02435 127 0.9981 0.001482 1.444e-05 0.02435 128 0.9993 0.0008893 1.444e-05 0.02435 129 0.9999 0.0003706 2.82e-05 0.03044 ||G-ChebyshevZero|| = 1.0102 Saved CVT coordinates in file "cvt_129_u.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_129.txt" Iteration required 25.6557 seconds. CVT_1D_LUMPING Normal end of execution. 24-Dec-2018 09:03:15 Output saved in "output_129_u.txt"