18-Jul-2023 10:09:51 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 (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" Graphics saved as "motion_033_c.png" Saved graphics file "evolution_033_c.png" CVT data: K G H rho H^3 mu H 1 -0.9998 0.004963 0.0115 0.2257 2 -0.9903 0.01388 0.0009987 0.09996 3 -0.9720 0.02267 0.0008975 0.09646 4 -0.9450 0.03126 0.0008726 0.09556 5 -0.9095 0.03958 0.0008628 0.0952 6 -0.8658 0.04754 0.0008579 0.09502 7 -0.8144 0.05509 0.0008557 0.09494 8 -0.7556 0.06218 0.0008557 0.09494 9 -0.6900 0.06874 0.0008568 0.09498 10 -0.6182 0.07469 0.000858 0.09502 11 -0.5407 0.07996 0.0008586 0.09504 12 -0.4582 0.08448 0.0008587 0.09505 13 -0.3717 0.08824 0.0008587 0.09505 14 -0.2818 0.0912 0.0008588 0.09505 15 -0.1893 0.09334 0.000859 0.09506 16 -0.0951 0.09464 0.0008594 0.09508 17 0.0000 0.0948 0.0008519 0.0948 18 0.0945 0.0941 0.0008444 0.09452 19 0.1882 0.09284 0.0008448 0.09453 20 0.2802 0.09076 0.0008451 0.09455 21 0.3697 0.08786 0.0008456 0.09456 22 0.4559 0.08418 0.0008461 0.09458 23 0.5381 0.07974 0.0008468 0.09461 24 0.6154 0.0746 0.0008479 0.09465 25 0.6873 0.0688 0.0008495 0.09471 26 0.7530 0.06236 0.0008512 0.09477 27 0.8120 0.05536 0.0008533 0.09485 28 0.8637 0.04786 0.0008566 0.09497 29 0.9077 0.03994 0.0008627 0.0952 30 0.9436 0.03166 0.0008744 0.09563 31 0.9710 0.02308 0.0009018 0.09661 32 0.9898 0.01428 0.001002 0.1001 33 0.9996 0.005317 0.006525 0.1869 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| = 0.00789592 Saved CVT coordinates in file "cvt_033_c.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_033.txt" Iteration required 390.911 seconds. CVT_1D_LUMPING Normal end of execution. 18-Jul-2023 10:16:24 Output saved in "output_033_c.txt"