18-Jul-2023 11:02:30 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 100000 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" Graphics saved as "motion_065_u.png" Saved graphics file "evolution_065_u.png" CVT data: K G H rho H^3 mu H 1 -0.9998 0.002563 0.002602 0.1375 2 -0.9951 0.006969 0.0003453 0.07015 3 -0.9859 0.01128 0.000307 0.06746 4 -0.9725 0.01541 0.0002904 0.06622 5 -0.9551 0.01928 0.0002759 0.0651 6 -0.9340 0.02281 0.0002606 0.06387 7 -0.9096 0.02598 0.0002444 0.06252 8 -0.8822 0.02875 0.0002275 0.06105 9 -0.8521 0.03112 0.0002104 0.05947 10 -0.8200 0.03309 0.0001932 0.05781 11 -0.7860 0.03467 0.0001763 0.05608 12 -0.7507 0.03587 0.00016 0.05429 13 -0.7143 0.03674 0.0001447 0.0525 14 -0.6773 0.03731 0.0001305 0.05072 15 -0.6397 0.03763 0.0001174 0.04896 16 -0.6020 0.03773 0.0001055 0.04725 17 -0.5642 0.03767 9.499e-05 0.04563 18 -0.5266 0.03749 8.578e-05 0.0441 19 -0.4892 0.03721 7.767e-05 0.04267 20 -0.4522 0.03686 7.057e-05 0.04132 21 -0.4155 0.03646 6.44e-05 0.04008 22 -0.3792 0.03605 5.912e-05 0.03896 23 -0.3434 0.03565 5.469e-05 0.03796 24 -0.3079 0.03528 5.1e-05 0.03708 25 -0.2728 0.03494 4.79e-05 0.03632 26 -0.2379 0.03463 4.532e-05 0.03565 27 -0.2034 0.03435 4.319e-05 0.03509 28 -0.1692 0.03412 4.148e-05 0.03462 29 -0.1352 0.03394 4.02e-05 0.03426 30 -0.1013 0.03383 3.93e-05 0.034 31 -0.0675 0.03375 3.871e-05 0.03383 32 -0.0337 0.03371 3.837e-05 0.03373 33 0.0000 0.03334 3.707e-05 0.03334 34 0.0330 0.03303 3.609e-05 0.03305 35 0.0661 0.03313 3.66e-05 0.0332 36 0.0993 0.03328 3.74e-05 0.03344 37 0.1327 0.03347 3.851e-05 0.03377 38 0.1663 0.03371 3.996e-05 0.03419 39 0.2002 0.03399 4.174e-05 0.03469 40 0.2343 0.03429 4.39e-05 0.03528 41 0.2688 0.03463 4.647e-05 0.03595 42 0.3036 0.03501 4.96e-05 0.03674 43 0.3389 0.03543 5.34e-05 0.03766 44 0.3745 0.03587 5.79e-05 0.03869 45 0.4106 0.0363 6.312e-05 0.03982 46 0.4472 0.03672 6.918e-05 0.04105 47 0.4841 0.0371 7.62e-05 0.0424 48 0.5214 0.03741 8.423e-05 0.04383 49 0.5589 0.03761 9.334e-05 0.04536 50 0.5966 0.0377 0.0001037 0.04698 51 0.6344 0.03763 0.0001154 0.04868 52 0.6719 0.03735 0.0001283 0.05043 53 0.7090 0.03683 0.0001425 0.05223 54 0.7455 0.03602 0.0001578 0.05404 55 0.7810 0.03487 0.0001741 0.05584 56 0.8152 0.03336 0.0001912 0.05761 57 0.8477 0.03147 0.0002089 0.05933 58 0.8781 0.02918 0.0002268 0.06098 59 0.9060 0.02647 0.0002446 0.06254 60 0.9310 0.02336 0.0002619 0.06398 61 0.9527 0.01987 0.0002792 0.06536 62 0.9707 0.01605 0.0002973 0.06674 63 0.9847 0.0119 0.0003182 0.06827 64 0.9944 0.007516 0.0003622 0.07128 65 0.9997 0.002941 0.001716 0.1197 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| = 0.74322 Saved CVT coordinates in file "cvt_065_u.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 391.751 seconds. CVT_1D_LUMPING Normal end of execution. 18-Jul-2023 11:09:05 Output saved in "output_065_u.txt"