07-Jan-2022 18:18:11 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 65 Number of iterations is 250 Number of samples is 400000 Initial generators (Uniform, staggered): 1 -0.969697 2 -0.939394 3 -0.909091 4 -0.878788 5 -0.848485 6 -0.818182 7 -0.787879 8 -0.757576 9 -0.727273 10 -0.696970 11 -0.666667 12 -0.636364 13 -0.606061 14 -0.575758 15 -0.545455 16 -0.515152 17 -0.484848 18 -0.454545 19 -0.424242 20 -0.393939 21 -0.363636 22 -0.333333 23 -0.303030 24 -0.272727 25 -0.242424 26 -0.212121 27 -0.181818 28 -0.151515 29 -0.121212 30 -0.090909 31 -0.060606 32 -0.030303 33 0.000000 34 0.030303 35 0.060606 36 0.090909 37 0.121212 38 0.151515 39 0.181818 40 0.212121 41 0.242424 42 0.272727 43 0.303030 44 0.333333 45 0.363636 46 0.393939 47 0.424242 48 0.454545 49 0.484848 50 0.515152 51 0.545455 52 0.575758 53 0.606061 54 0.636364 55 0.666667 56 0.696970 57 0.727273 58 0.757576 59 0.787879 60 0.818182 61 0.848485 62 0.878788 63 0.909091 64 0.939394 65 0.969697 Saved graphics file "density.png" Saved graphics file "energy_065_u.png" Saved graphics file "motion_065_u.png" Saved graphics file "evolution_065_u.png" CVT data: K G H rho H^3 mu H 1 -0.9999 0.002435 0.006566 0.1873 2 -0.9952 0.006934 0.0003585 0.07104 3 -0.9861 0.01131 0.0003148 0.06803 4 -0.9726 0.01549 0.0002962 0.06666 5 -0.9552 0.01938 0.0002805 0.06546 6 -0.9339 0.02295 0.0002645 0.06419 7 -0.9093 0.02613 0.0002477 0.0628 8 -0.8817 0.02891 0.0002302 0.06129 9 -0.8516 0.03128 0.0002125 0.05967 10 -0.8193 0.03324 0.0001947 0.05796 11 -0.7852 0.0348 0.0001774 0.05619 12 -0.7497 0.03599 0.0001608 0.05438 13 -0.7132 0.03685 0.0001453 0.05257 14 -0.6760 0.03741 0.0001309 0.05077 15 -0.6384 0.03772 0.0001177 0.049 16 -0.6006 0.03781 0.0001058 0.04729 17 -0.5628 0.03773 9.513e-05 0.04565 18 -0.5251 0.03753 8.575e-05 0.0441 19 -0.4877 0.03723 7.755e-05 0.04264 20 -0.4506 0.03686 7.042e-05 0.04129 21 -0.4139 0.03646 6.426e-05 0.04005 22 -0.3777 0.03605 5.899e-05 0.03893 23 -0.3418 0.03563 5.449e-05 0.03791 24 -0.3064 0.03523 5.069e-05 0.03701 25 -0.2713 0.03486 4.75e-05 0.03621 26 -0.2366 0.03452 4.486e-05 0.03553 27 -0.2022 0.03423 4.269e-05 0.03495 28 -0.1681 0.03398 4.095e-05 0.03447 29 -0.1342 0.03377 3.959e-05 0.03408 30 -0.1005 0.03362 3.858e-05 0.03379 31 -0.0669 0.03351 3.788e-05 0.03359 32 -0.0334 0.03345 3.748e-05 0.03347 33 0.0000 0.03334 3.705e-05 0.03334 34 0.0333 0.03327 3.69e-05 0.03329 35 0.0666 0.03335 3.735e-05 0.03343 36 0.1000 0.03348 3.809e-05 0.03365 37 0.1336 0.03365 3.914e-05 0.03395 38 0.1674 0.03387 4.053e-05 0.03435 39 0.2014 0.03413 4.231e-05 0.03484 40 0.2357 0.03444 4.45e-05 0.03544 41 0.2703 0.03478 4.715e-05 0.03613 42 0.3053 0.03516 5.034e-05 0.03692 43 0.3407 0.03557 5.414e-05 0.03783 44 0.3765 0.03599 5.862e-05 0.03885 45 0.4127 0.03641 6.389e-05 0.03998 46 0.4493 0.03682 7.001e-05 0.04122 47 0.4864 0.03719 7.712e-05 0.04257 48 0.5237 0.0375 8.53e-05 0.04402 49 0.5614 0.03771 9.462e-05 0.04557 50 0.5992 0.03779 0.0001052 0.0472 51 0.6370 0.0377 0.000117 0.04891 52 0.6746 0.03741 0.0001301 0.05068 53 0.7118 0.03686 0.0001445 0.05248 54 0.7483 0.03602 0.00016 0.05429 55 0.7838 0.03484 0.0001765 0.0561 56 0.8179 0.0333 0.0001938 0.05787 57 0.8503 0.03136 0.0002116 0.05959 58 0.8806 0.02901 0.0002294 0.06122 59 0.9083 0.02625 0.000247 0.06274 60 0.9330 0.02309 0.0002641 0.06416 61 0.9544 0.01955 0.0002806 0.06547 62 0.9720 0.01567 0.0002969 0.06671 63 0.9857 0.0115 0.0003165 0.06815 64 0.9950 0.007116 0.000361 0.0712 65 0.9999 0.002579 0.003622 0.1536 Chebyshev Zero Node data for comparison K G H rho H^3 mu H 1 -0.9997 0.001459 0.0002203 0.0604 2 -0.9974 0.0035 0.0001128 0.04831 3 -0.9927 0.005824 0.0001128 0.04831 4 -0.9857 0.008134 0.0001128 0.04831 5 -0.9764 0.01043 0.0001128 0.04831 6 -0.9649 0.01269 0.0001128 0.04831 7 -0.9511 0.01493 0.0001128 0.04831 8 -0.9350 0.01713 0.0001128 0.04831 9 -0.9168 0.01929 0.0001128 0.04831 10 -0.8964 0.02141 0.0001128 0.04831 11 -0.8740 0.02348 0.0001128 0.04831 12 -0.8495 0.02549 0.0001128 0.04831 13 -0.8230 0.02745 0.0001128 0.04831 14 -0.7946 0.02933 0.0001128 0.04831 15 -0.7643 0.03115 0.0001128 0.04831 16 -0.7323 0.0329 0.0001128 0.04831 17 -0.6985 0.03457 0.0001128 0.04831 18 -0.6631 0.03616 0.0001128 0.04831 19 -0.6262 0.03767 0.0001128 0.04831 20 -0.5878 0.03909 0.0001128 0.04831 21 -0.5480 0.04041 0.0001128 0.04831 22 -0.5070 0.04164 0.0001128 0.04831 23 -0.4647 0.04278 0.0001128 0.04831 24 -0.4214 0.04381 0.0001128 0.04831 25 -0.3771 0.04475 0.0001128 0.04831 26 -0.3319 0.04557 0.0001128 0.04831 27 -0.2859 0.0463 0.0001128 0.04831 28 -0.2393 0.04691 0.0001128 0.04831 29 -0.1921 0.04741 0.0001128 0.04831 30 -0.1445 0.04781 0.0001128 0.04831 31 -0.0965 0.04809 0.0001128 0.04831 32 -0.0483 0.04826 0.0001128 0.04831 33 0.0000 0.04831 0.0001128 0.04831 34 0.0483 0.04826 0.0001128 0.04831 35 0.0965 0.04809 0.0001128 0.04831 36 0.1445 0.04781 0.0001128 0.04831 37 0.1921 0.04741 0.0001128 0.04831 38 0.2393 0.04691 0.0001128 0.04831 39 0.2859 0.0463 0.0001128 0.04831 40 0.3319 0.04557 0.0001128 0.04831 41 0.3771 0.04475 0.0001128 0.04831 42 0.4214 0.04381 0.0001128 0.04831 43 0.4647 0.04278 0.0001128 0.04831 44 0.5070 0.04164 0.0001128 0.04831 45 0.5480 0.04041 0.0001128 0.04831 46 0.5878 0.03909 0.0001128 0.04831 47 0.6262 0.03767 0.0001128 0.04831 48 0.6631 0.03616 0.0001128 0.04831 49 0.6985 0.03457 0.0001128 0.04831 50 0.7323 0.0329 0.0001128 0.04831 51 0.7643 0.03115 0.0001128 0.04831 52 0.7946 0.02933 0.0001128 0.04831 53 0.8230 0.02745 0.0001128 0.04831 54 0.8495 0.02549 0.0001128 0.04831 55 0.8740 0.02348 0.0001128 0.04831 56 0.8964 0.02141 0.0001128 0.04831 57 0.9168 0.01929 0.0001128 0.04831 58 0.9350 0.01713 0.0001128 0.04831 59 0.9511 0.01493 0.0001128 0.04831 60 0.9649 0.01269 0.0001128 0.04831 61 0.9764 0.01043 0.0001128 0.04831 62 0.9857 0.008134 0.0001128 0.04831 63 0.9927 0.005824 0.0001128 0.04831 64 0.9974 0.0035 0.0001128 0.04831 65 0.9997 0.001459 0.0002203 0.0604 ||G-ChebyshevZero|| = 0.740036 Saved CVT coordinates in file "cvt_065_u.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 0.785532 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:18:13 Output saved in "output_065_u.txt"