14-May-2025 11:34:29 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 33 Number of iterations is 250 Number of samples is 100000 Initial generators (Random, sorted): 1 -0.984291 2 -0.963446 3 -0.751099 4 -0.726574 5 -0.560865 6 -0.539696 7 -0.539325 8 -0.538343 9 -0.489943 10 -0.418493 11 -0.357891 12 -0.324457 13 -0.308463 14 -0.285096 15 -0.139186 16 -0.125007 17 -0.107799 18 0.097234 19 0.140084 20 0.265183 21 0.306443 22 0.315518 23 0.318754 24 0.334309 25 0.432833 26 0.449267 27 0.589874 28 0.618879 29 0.633156 30 0.684426 31 0.748419 32 0.805115 33 0.915723 Saved graphics file "density.png" Saved graphics file "energy_033_r.png" Graphics saved as "motion_033_r.png" Saved graphics file "evolution_033_r.png" CVT data: K G H rho H^3 mu H 1 -0.9997 0.005618 0.01523 0.2479 2 -0.9890 0.01573 0.001211 0.1066 3 -0.9683 0.02559 0.001075 0.1024 4 -0.9379 0.03499 0.001026 0.1009 5 -0.8984 0.04376 0.0009893 0.09964 6 -0.8505 0.05179 0.0009547 0.09847 7 -0.7949 0.05901 0.0009199 0.09726 8 -0.7325 0.06534 0.0008844 0.09599 9 -0.6643 0.07078 0.000849 0.09469 10 -0.5910 0.07536 0.0008153 0.09342 11 -0.5136 0.07913 0.0007843 0.09222 12 -0.4327 0.08216 0.000757 0.09114 13 -0.3492 0.08452 0.0007339 0.0902 14 -0.2636 0.08628 0.0007156 0.08945 15 -0.1766 0.0875 0.0007024 0.08889 16 -0.0885 0.08822 0.0006947 0.08857 17 0.0000 0.08772 0.000675 0.08772 18 0.0870 0.08679 0.0006613 0.08712 19 0.1737 0.08622 0.0006711 0.08755 20 0.2596 0.08521 0.0006868 0.08823 21 0.3442 0.08368 0.0007079 0.08912 22 0.4270 0.08157 0.000734 0.09021 23 0.5074 0.07881 0.000765 0.09146 24 0.5847 0.0753 0.0007998 0.09282 25 0.6580 0.07097 0.0008372 0.09425 26 0.7266 0.06577 0.0008771 0.09572 27 0.7895 0.05966 0.0009186 0.09721 28 0.8458 0.05264 0.0009606 0.09867 29 0.8947 0.04471 0.001003 0.1001 30 0.9352 0.03596 0.001046 0.1015 31 0.9665 0.02653 0.001105 0.1034 32 0.9882 0.01654 0.001252 0.1078 33 0.9996 0.006147 0.009027 0.2082 Chebyshev Zero Node data for comparison K G H rho H^3 mu H 1 -0.9989 0.005656 0.001679 0.1189 2 -0.9898 0.01353 0.0008589 0.09506 3 -0.9718 0.02241 0.0008589 0.09506 4 -0.9450 0.03109 0.0008589 0.09506 5 -0.9096 0.03949 0.0008589 0.09506 6 -0.8660 0.04753 0.0008589 0.09506 7 -0.8146 0.05514 0.0008589 0.09506 8 -0.7557 0.06225 0.0008589 0.09506 9 -0.6901 0.0688 0.0008589 0.09506 10 -0.6182 0.07472 0.0008589 0.09506 11 -0.5406 0.07997 0.0008589 0.09506 12 -0.4582 0.08449 0.0008589 0.09506 13 -0.3717 0.08825 0.0008589 0.09506 14 -0.2817 0.09121 0.0008589 0.09506 15 -0.1893 0.09334 0.0008589 0.09506 16 -0.0951 0.09463 0.0008589 0.09506 17 0.0000 0.09506 0.0008589 0.09506 18 0.0951 0.09463 0.0008589 0.09506 19 0.1893 0.09334 0.0008589 0.09506 20 0.2817 0.09121 0.0008589 0.09506 21 0.3717 0.08825 0.0008589 0.09506 22 0.4582 0.08449 0.0008589 0.09506 23 0.5406 0.07997 0.0008589 0.09506 24 0.6182 0.07472 0.0008589 0.09506 25 0.6901 0.0688 0.0008589 0.09506 26 0.7557 0.06225 0.0008589 0.09506 27 0.8146 0.05514 0.0008589 0.09506 28 0.8660 0.04753 0.0008589 0.09506 29 0.9096 0.03949 0.0008589 0.09506 30 0.9450 0.03109 0.0008589 0.09506 31 0.9718 0.02241 0.0008589 0.09506 32 0.9898 0.01353 0.0008589 0.09506 33 0.9989 0.005656 0.001679 0.1189 |G-ChebyshevZero| = 0.114867 Saved CVT coordinates in file "cvt_033_r.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_033.txt" Iteration required 165.687 seconds. CVT_1D_LUMPING Normal end of execution. 14-May-2025 11:37:16 Output saved in "output_033_r.txt"