07-Jan-2022 18:17:57 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 400000 Initial generators (Chebyshev Zero nodes): 1 -0.998867 2 -0.989821 3 -0.971812 4 -0.945001 5 -0.909632 6 -0.866025 7 -0.814576 8 -0.755750 9 -0.690079 10 -0.618159 11 -0.540641 12 -0.458227 13 -0.371662 14 -0.281733 15 -0.189251 16 -0.095056 17 0.000000 18 0.095056 19 0.189251 20 0.281733 21 0.371662 22 0.458227 23 0.540641 24 0.618159 25 0.690079 26 0.755750 27 0.814576 28 0.866025 29 0.909632 30 0.945001 31 0.971812 32 0.989821 33 0.998867 Saved graphics file "density.png" Saved graphics file "energy_033_c.png" Saved graphics file "motion_033_c.png" Saved graphics file "evolution_033_c.png" CVT data: K G H rho H^3 mu H 1 -0.9999 0.004747 0.02944 0.3088 2 -0.9906 0.01373 0.001015 0.1005 3 -0.9724 0.02259 0.0009087 0.09686 4 -0.9454 0.03125 0.0008822 0.09591 5 -0.9099 0.03962 0.0008717 0.09552 6 -0.8662 0.04764 0.0008663 0.09533 7 -0.8147 0.05522 0.0008633 0.09522 8 -0.7558 0.06231 0.0008615 0.09515 9 -0.6900 0.06884 0.0008603 0.09511 10 -0.6181 0.07474 0.0008594 0.09508 11 -0.5406 0.07997 0.0008589 0.09506 12 -0.4582 0.08448 0.0008585 0.09504 13 -0.3716 0.08823 0.0008583 0.09503 14 -0.2817 0.09118 0.0008582 0.09503 15 -0.1892 0.09332 0.0008584 0.09504 16 -0.0951 0.09462 0.0008587 0.09505 17 0.0000 0.09496 0.0008563 0.09496 18 0.0949 0.09444 0.0008539 0.09487 19 0.1889 0.09317 0.0008541 0.09488 20 0.2812 0.09106 0.0008542 0.09488 21 0.3710 0.08812 0.0008545 0.09489 22 0.4575 0.0844 0.0008549 0.09491 23 0.5398 0.07991 0.0008554 0.09493 24 0.6173 0.0747 0.0008561 0.09495 25 0.6892 0.06883 0.000857 0.09499 26 0.7549 0.06233 0.0008584 0.09504 27 0.8139 0.05527 0.0008605 0.09511 28 0.8655 0.04771 0.0008637 0.09523 29 0.9093 0.03972 0.0008692 0.09543 30 0.9449 0.03137 0.0008799 0.09583 31 0.9720 0.02274 0.0009065 0.09678 32 0.9904 0.0139 0.001012 0.1004 33 0.9998 0.004911 0.01542 0.2489 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|| = 0.00301196 Saved CVT coordinates in file "cvt_033_c.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_033.txt" Iteration required 0.8021 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:17:59 Output saved in "output_033_c.txt"