14-May-2025 11:40:04 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 100000 Initial generators (Random, sorted): 1 -0.990549 2 -0.956802 3 -0.955649 4 -0.940365 5 -0.939645 6 -0.939192 7 -0.926451 8 -0.926015 9 -0.925938 10 -0.923598 11 -0.905585 12 -0.901655 13 -0.875982 14 -0.873059 15 -0.866649 16 -0.835711 17 -0.832038 18 -0.795865 19 -0.785260 20 -0.758812 21 -0.747074 22 -0.667018 23 -0.660856 24 -0.659358 25 -0.629618 26 -0.548661 27 -0.536833 28 -0.533565 29 -0.502025 30 -0.497185 31 -0.486624 32 -0.484868 33 -0.478332 34 -0.439715 35 -0.436065 36 -0.435571 37 -0.417827 38 -0.406241 39 -0.405355 40 -0.376925 41 -0.374218 42 -0.351763 43 -0.340796 44 -0.337148 45 -0.323745 46 -0.321173 47 -0.312198 48 -0.309140 49 -0.273500 50 -0.271406 51 -0.239806 52 -0.235534 53 -0.213853 54 -0.212913 55 -0.212252 56 -0.195293 57 -0.193337 58 -0.192999 59 -0.146110 60 -0.107813 61 -0.098920 62 -0.049314 63 -0.047770 64 -0.047501 65 -0.040161 66 -0.033466 67 -0.021827 68 0.015897 69 0.034660 70 0.036585 71 0.042831 72 0.061763 73 0.063976 74 0.078460 75 0.080147 76 0.099400 77 0.115297 78 0.152733 79 0.175760 80 0.191590 81 0.227820 82 0.247985 83 0.249190 84 0.257240 85 0.287895 86 0.289179 87 0.342103 88 0.367393 89 0.377189 90 0.393497 91 0.399731 92 0.420111 93 0.420196 94 0.427522 95 0.439219 96 0.517402 97 0.543461 98 0.543717 99 0.559755 100 0.580756 101 0.586370 102 0.615000 103 0.618771 104 0.624633 105 0.646118 106 0.665766 107 0.669488 108 0.672481 109 0.681942 110 0.713267 111 0.743251 112 0.751731 113 0.778335 114 0.786429 115 0.840234 116 0.857451 117 0.886828 118 0.889445 119 0.895438 120 0.907175 121 0.914560 122 0.925867 123 0.930043 124 0.951246 125 0.975869 126 0.984871 127 0.987897 128 0.998248 129 0.998732 Saved graphics file "density.png" Saved graphics file "energy_129_r.png" Graphics saved as "motion_129_r.png" Saved graphics file "evolution_129_r.png" CVT data: K G H rho H^3 mu H 1 -0.9999 0.00096 0.0002905 0.06623 2 -0.9982 0.002447 6.823e-05 0.04086 3 -0.9950 0.003931 6.107e-05 0.03938 4 -0.9903 0.005403 5.916e-05 0.03897 5 -0.9842 0.006845 5.779e-05 0.03866 6 -0.9767 0.00823 5.626e-05 0.03832 7 -0.9678 0.009541 5.438e-05 0.03789 8 -0.9576 0.01079 5.253e-05 0.03745 9 -0.9462 0.01197 5.059e-05 0.03698 10 -0.9337 0.01305 4.843e-05 0.03645 11 -0.9201 0.01405 4.62e-05 0.03588 12 -0.9056 0.01496 4.391e-05 0.03528 13 -0.8902 0.01578 4.159e-05 0.03465 14 -0.8740 0.01652 3.93e-05 0.034 15 -0.8572 0.01717 3.708e-05 0.03335 16 -0.8397 0.01776 3.499e-05 0.03271 17 -0.8216 0.01827 3.295e-05 0.03206 18 -0.8032 0.0187 3.091e-05 0.03138 19 -0.7843 0.01906 2.898e-05 0.03072 20 -0.7651 0.01935 2.712e-05 0.03004 21 -0.7456 0.01956 2.527e-05 0.02935 22 -0.7259 0.0197 2.349e-05 0.02864 23 -0.7062 0.01977 2.176e-05 0.02792 24 -0.6864 0.01976 2.007e-05 0.02717 25 -0.6667 0.0197 1.846e-05 0.02643 26 -0.6470 0.01959 1.696e-05 0.02569 27 -0.6275 0.01941 1.55e-05 0.02493 28 -0.6082 0.01918 1.41e-05 0.02416 29 -0.5892 0.0189 1.279e-05 0.02339 30 -0.5704 0.01858 1.157e-05 0.02262 31 -0.5520 0.01822 1.044e-05 0.02185 32 -0.5340 0.01784 9.396e-06 0.0211 33 -0.5163 0.01746 8.475e-06 0.02039 34 -0.4990 0.01709 7.677e-06 0.01973 35 -0.4821 0.01673 6.963e-06 0.0191 36 -0.4656 0.01636 6.322e-06 0.01849 37 -0.4494 0.01602 5.765e-06 0.01793 38 -0.4335 0.0157 5.291e-06 0.01743 39 -0.4180 0.01541 4.883e-06 0.01697 40 -0.4027 0.01515 4.536e-06 0.01655 41 -0.3876 0.01494 4.259e-06 0.01621 42 -0.3727 0.01478 4.042e-06 0.01593 43 -0.3580 0.01466 3.872e-06 0.0157 44 -0.3434 0.01459 3.75e-06 0.01554 45 -0.3288 0.01457 3.669e-06 0.01542 46 -0.3142 0.01458 3.623e-06 0.01536 47 -0.2996 0.01466 3.625e-06 0.01536 48 -0.2849 0.01478 3.667e-06 0.01542 49 -0.2701 0.01494 3.736e-06 0.01552 50 -0.2550 0.01514 3.835e-06 0.01565 51 -0.2398 0.01535 3.953e-06 0.01581 52 -0.2243 0.01559 4.091e-06 0.01599 53 -0.2086 0.01584 4.249e-06 0.0162 54 -0.1926 0.01611 4.426e-06 0.01642 55 -0.1764 0.0164 4.622e-06 0.01666 56 -0.1598 0.01669 4.83e-06 0.0169 57 -0.1430 0.01698 5.046e-06 0.01715 58 -0.1259 0.01726 5.263e-06 0.01739 59 -0.1085 0.01752 5.471e-06 0.01762 60 -0.0908 0.01775 5.659e-06 0.01782 61 -0.0730 0.01795 5.827e-06 0.01799 62 -0.0550 0.01813 5.988e-06 0.01816 63 -0.0368 0.01828 6.122e-06 0.01829 64 -0.0184 0.01838 6.214e-06 0.01838 65 0.0000 -0.00691 -3.299e-07 -0.00691 66 -0.0322 -0.008011 -5.148e-07 -0.008015 67 -0.0160 0.01626 4.301e-06 0.01626 68 0.0003 0.01634 4.36e-06 0.01634 69 0.0167 0.01641 4.422e-06 0.01641 70 0.0331 0.01651 4.505e-06 0.01652 71 0.0497 0.01663 4.617e-06 0.01665 72 0.0664 0.01677 4.745e-06 0.0168 73 0.0832 0.0169 4.874e-06 0.01696 74 0.1002 0.01703 5.016e-06 0.01712 75 0.1173 0.01717 5.165e-06 0.01729 76 0.1345 0.01731 5.328e-06 0.01747 77 0.1519 0.01747 5.519e-06 0.01767 78 0.1695 0.01764 5.736e-06 0.0179 79 0.1872 0.01782 5.967e-06 0.01814 80 0.2051 0.01798 6.202e-06 0.01837 81 0.2232 0.01813 6.431e-06 0.0186 82 0.2414 0.01824 6.637e-06 0.01879 83 0.2596 0.01832 6.83e-06 0.01897 84 0.2780 0.0184 7.025e-06 0.01915 85 0.2964 0.01846 7.224e-06 0.01933 86 0.3149 0.01852 7.427e-06 0.01951 87 0.3335 0.01856 7.633e-06 0.01969 88 0.3520 0.0186 7.845e-06 0.01987 89 0.3707 0.01862 8.061e-06 0.02005 90 0.3893 0.01864 8.284e-06 0.02023 91 0.4079 0.01864 8.514e-06 0.02042 92 0.4266 0.01864 8.751e-06 0.02061 93 0.4452 0.01863 9.004e-06 0.0208 94 0.4638 0.01863 9.297e-06 0.02103 95 0.4825 0.01864 9.635e-06 0.02128 96 0.5011 0.01864 1e-05 0.02154 97 0.5198 0.01865 1.04e-05 0.02183 98 0.5384 0.01865 1.085e-05 0.02214 99 0.5571 0.01865 1.133e-05 0.02246 100 0.5757 0.01866 1.189e-05 0.02282 101 0.5944 0.01867 1.252e-05 0.02322 102 0.6131 0.01869 1.324e-05 0.02366 103 0.6318 0.01871 1.407e-05 0.02414 104 0.6505 0.01872 1.497e-05 0.02464 105 0.6693 0.01872 1.599e-05 0.02519 106 0.6880 0.0187 1.71e-05 0.02576 107 0.7067 0.01865 1.833e-05 0.02636 108 0.7253 0.0186 1.972e-05 0.02702 109 0.7439 0.01852 2.128e-05 0.02771 110 0.7623 0.0184 2.299e-05 0.02843 111 0.7807 0.01824 2.485e-05 0.02918 112 0.7988 0.01802 2.687e-05 0.02995 113 0.8167 0.01773 2.902e-05 0.03073 114 0.8343 0.01738 3.132e-05 0.03152 115 0.8514 0.01695 3.377e-05 0.03232 116 0.8682 0.01643 3.629e-05 0.03311 117 0.8843 0.01582 3.887e-05 0.03387 118 0.8998 0.01511 4.153e-05 0.03463 119 0.9145 0.01432 4.431e-05 0.03539 120 0.9284 0.01343 4.724e-05 0.03615 121 0.9414 0.01244 5.013e-05 0.03687 122 0.9533 0.01135 5.295e-05 0.03755 123 0.9640 0.01016 5.586e-05 0.03823 124 0.9736 0.008873 5.862e-05 0.03885 125 0.9818 0.007498 6.136e-05 0.03944 126 0.9886 0.00606 6.485e-05 0.04018 127 0.9939 0.00455 6.977e-05 0.04117 128 0.9977 0.002968 8.166e-05 0.04339 129 0.9998 0.00128 0.000266 0.06431 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| = 1.42709 Saved CVT coordinates in file "cvt_129_r.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_129.txt" Iteration required 170.841 seconds. CVT_1D_LUMPING Normal end of execution. 14-May-2025 11:42:57 Output saved in "output_129_r.txt"