07-Jan-2022 18:17:45 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 (Random, sorted): 1 -0.936334 2 -0.931108 3 -0.907657 4 -0.805736 5 -0.762005 6 -0.674777 7 -0.626255 8 -0.552376 9 -0.489810 10 -0.447950 11 -0.446154 12 -0.365801 13 -0.319229 14 -0.236883 15 -0.122511 16 -0.108828 17 -0.020471 18 -0.003272 19 0.011914 20 0.170536 21 0.292626 22 0.310196 23 0.359405 24 0.389657 25 0.398153 26 0.418730 27 0.502534 28 0.509373 29 0.531034 30 0.590400 31 0.646916 32 0.900444 33 0.919488 Saved graphics file "density.png" Saved graphics file "energy_033_r.png" Saved graphics file "motion_033_r.png" Saved graphics file "evolution_033_r.png" CVT data: K G H rho H^3 mu H 1 -0.9999 0.005227 0.03657 0.3319 2 -0.9897 0.0151 0.001171 0.1054 3 -0.9697 0.02474 0.001038 0.1012 4 -0.9402 0.03397 0.000993 0.09976 5 -0.9018 0.04266 0.0009622 0.09872 6 -0.8550 0.05071 0.0009346 0.09777 7 -0.8004 0.05803 0.0009076 0.09682 8 -0.7390 0.06458 0.0008806 0.09585 9 -0.6713 0.07032 0.000854 0.09488 10 -0.5983 0.07526 0.0008287 0.09393 11 -0.5208 0.07942 0.0008052 0.09303 12 -0.4395 0.08283 0.0007842 0.09222 13 -0.3551 0.08554 0.0007663 0.09151 14 -0.2684 0.0876 0.0007519 0.09093 15 -0.1799 0.08903 0.0007415 0.09051 16 -0.0902 0.08988 0.0007351 0.09025 17 0.0000 0.08822 0.0006866 0.08822 18 0.0863 0.08611 0.0006457 0.08643 19 0.1724 0.0856 0.0006563 0.0869 20 0.2577 0.0847 0.0006735 0.08766 21 0.3419 0.08333 0.0006972 0.08867 22 0.4244 0.08142 0.000727 0.08992 23 0.5048 0.07885 0.0007622 0.09134 24 0.5822 0.07554 0.000802 0.09291 25 0.6558 0.07138 0.0008454 0.09455 26 0.7249 0.06629 0.0008912 0.09623 27 0.7883 0.06023 0.0009381 0.09789 28 0.8452 0.05317 0.0009852 0.09951 29 0.8946 0.04516 0.001032 0.1011 30 0.9355 0.03627 0.001081 0.1026 31 0.9670 0.02662 0.001143 0.1046 32 0.9886 0.0164 0.001299 0.1091 33 0.9998 0.005794 0.02236 0.2817 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|| = 0.109015 Saved CVT coordinates in file "cvt_033_r.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_033.txt" Iteration required 0.672911 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:17:47 Output saved in "output_033_r.txt"