07-Jan-2022 18:18:13 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 250 Number of samples is 400000 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 -0.9999 0.001204 0.001349 0.1105 2 -0.9977 0.00336 0.0001186 0.04913 3 -0.9932 0.005469 0.0001044 0.04709 4 -0.9867 0.007491 9.829e-05 0.04615 5 -0.9783 0.009389 9.292e-05 0.04529 6 -0.9680 0.01114 8.739e-05 0.04438 7 -0.9560 0.01271 8.151e-05 0.04336 8 -0.9426 0.0141 7.536e-05 0.04224 9 -0.9279 0.0153 6.912e-05 0.04104 10 -0.9120 0.01631 6.289e-05 0.03977 11 -0.8953 0.01712 5.68e-05 0.03844 12 -0.8778 0.01776 5.098e-05 0.03708 13 -0.8598 0.01823 4.552e-05 0.03571 14 -0.8414 0.01856 4.05e-05 0.03434 15 -0.8227 0.01876 3.593e-05 0.033 16 -0.8039 0.01884 3.18e-05 0.03168 17 -0.7850 0.01884 2.813e-05 0.03041 18 -0.7662 0.01877 2.49e-05 0.0292 19 -0.7475 0.01864 2.208e-05 0.02805 20 -0.7289 0.01846 1.961e-05 0.02697 21 -0.7105 0.01827 1.749e-05 0.02596 22 -0.6924 0.01806 1.567e-05 0.02502 23 -0.6744 0.01784 1.41e-05 0.02416 24 -0.6567 0.01762 1.276e-05 0.02337 25 -0.6391 0.01741 1.161e-05 0.02264 26 -0.6218 0.01722 1.062e-05 0.02198 27 -0.6047 0.01703 9.779e-06 0.02138 28 -0.5877 0.01686 9.052e-06 0.02084 29 -0.5709 0.01671 8.429e-06 0.02035 30 -0.5543 0.01657 7.891e-06 0.01991 31 -0.5378 0.01645 7.423e-06 0.01951 32 -0.5214 0.01634 7.019e-06 0.01915 33 -0.5051 0.01624 6.666e-06 0.01882 34 -0.4889 0.01616 6.36e-06 0.01853 35 -0.4728 0.0161 6.095e-06 0.01827 36 -0.4567 0.01603 5.855e-06 0.01802 37 -0.4407 0.01598 5.641e-06 0.0178 38 -0.4247 0.01593 5.453e-06 0.0176 39 -0.4088 0.0159 5.284e-06 0.01742 40 -0.3929 0.01586 5.131e-06 0.01725 41 -0.3771 0.01583 4.994e-06 0.01709 42 -0.3612 0.01581 4.873e-06 0.01695 43 -0.3455 0.01579 4.762e-06 0.01682 44 -0.3297 0.01577 4.658e-06 0.0167 45 -0.3139 0.01575 4.564e-06 0.01659 46 -0.2982 0.01574 4.48e-06 0.01648 47 -0.2824 0.01572 4.404e-06 0.01639 48 -0.2667 0.01571 4.334e-06 0.0163 49 -0.2510 0.0157 4.27e-06 0.01622 50 -0.2353 0.01569 4.211e-06 0.01615 51 -0.2196 0.01569 4.159e-06 0.01608 52 -0.2039 0.01568 4.111e-06 0.01602 53 -0.1882 0.01568 4.067e-06 0.01596 54 -0.1726 0.01568 4.031e-06 0.01591 55 -0.1569 0.01568 3.999e-06 0.01587 56 -0.1412 0.01568 3.97e-06 0.01583 57 -0.1255 0.01568 3.945e-06 0.0158 58 -0.1099 0.01568 3.923e-06 0.01577 59 -0.0942 0.01568 3.906e-06 0.01575 60 -0.0785 0.01568 3.894e-06 0.01573 61 -0.0628 0.01569 3.884e-06 0.01572 62 -0.0471 0.01569 3.879e-06 0.01571 63 -0.0314 0.0157 3.877e-06 0.01571 64 -0.0157 0.01571 3.879e-06 0.01571 65 0.0000 0.01563 3.817e-06 0.01563 66 0.0155 0.01555 3.762e-06 0.01555 67 0.0311 0.01556 3.775e-06 0.01557 68 0.0467 0.01557 3.789e-06 0.01559 69 0.0623 0.01558 3.806e-06 0.01561 70 0.0778 0.01559 3.822e-06 0.01563 71 0.0934 0.01559 3.842e-06 0.01566 72 0.1090 0.0156 3.868e-06 0.0157 73 0.1246 0.01561 3.897e-06 0.01574 74 0.1403 0.01562 3.929e-06 0.01578 75 0.1559 0.01563 3.963e-06 0.01582 76 0.1715 0.01564 3.999e-06 0.01587 77 0.1872 0.01565 4.042e-06 0.01593 78 0.2028 0.01566 4.089e-06 0.01599 79 0.2185 0.01567 4.139e-06 0.01606 80 0.2342 0.01568 4.192e-06 0.01612 81 0.2498 0.01569 4.253e-06 0.0162 82 0.2655 0.0157 4.318e-06 0.01628 83 0.2812 0.01571 4.388e-06 0.01637 84 0.2970 0.01572 4.465e-06 0.01647 85 0.3127 0.01574 4.55e-06 0.01657 86 0.3284 0.01576 4.645e-06 0.01668 87 0.3442 0.01578 4.748e-06 0.01681 88 0.3600 0.0158 4.86e-06 0.01694 89 0.3758 0.01583 4.982e-06 0.01708 90 0.3917 0.01586 5.117e-06 0.01723 91 0.4075 0.01589 5.269e-06 0.0174 92 0.4235 0.01593 5.438e-06 0.01759 93 0.4394 0.01598 5.627e-06 0.01779 94 0.4554 0.01603 5.837e-06 0.01801 95 0.4715 0.01609 6.072e-06 0.01824 96 0.4876 0.01616 6.339e-06 0.01851 97 0.5038 0.01624 6.645e-06 0.0188 98 0.5201 0.01634 6.996e-06 0.01913 99 0.5365 0.01644 7.396e-06 0.01948 100 0.5530 0.01656 7.857e-06 0.01988 101 0.5696 0.0167 8.392e-06 0.02032 102 0.5864 0.01685 9.01e-06 0.02081 103 0.6034 0.01702 9.729e-06 0.02135 104 0.6205 0.01721 1.057e-05 0.02194 105 0.6378 0.01741 1.154e-05 0.0226 106 0.6553 0.01761 1.268e-05 0.02332 107 0.6730 0.01783 1.401e-05 0.02411 108 0.6910 0.01804 1.555e-05 0.02496 109 0.7092 0.01825 1.736e-05 0.02589 110 0.7275 0.01845 1.945e-05 0.02689 111 0.7461 0.01862 2.188e-05 0.02797 112 0.7648 0.01876 2.467e-05 0.02911 113 0.7836 0.01884 2.788e-05 0.03032 114 0.8025 0.01885 3.15e-05 0.03158 115 0.8213 0.01876 3.558e-05 0.03289 116 0.8400 0.01858 4.013e-05 0.03424 117 0.8584 0.01826 4.512e-05 0.0356 118 0.8765 0.0178 5.051e-05 0.03697 119 0.8940 0.01717 5.629e-05 0.03833 120 0.9108 0.01637 6.238e-05 0.03966 121 0.9267 0.01539 6.864e-05 0.04094 122 0.9415 0.01421 7.497e-05 0.04217 123 0.9551 0.01284 8.124e-05 0.04331 124 0.9672 0.01128 8.738e-05 0.04438 125 0.9776 0.009547 9.332e-05 0.04536 126 0.9862 0.007657 9.916e-05 0.04629 127 0.9929 0.005636 0.0001061 0.04734 128 0.9975 0.003513 0.0001209 0.04944 129 0.9999 0.001315 0.0007955 0.09266 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|| = 1.54037 Saved CVT coordinates in file "cvt_129_u.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_129.txt" Iteration required 0.686812 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:18:14 Output saved in "output_129_u.txt"