07-Jan-2022 18:17:47 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 (Random, sorted): 1 -0.990732 2 -0.976196 3 -0.892100 4 -0.848291 5 -0.843649 6 -0.832357 7 -0.831128 8 -0.786694 9 -0.740188 10 -0.722751 11 -0.701412 12 -0.695244 13 -0.675635 14 -0.668703 15 -0.606809 16 -0.542046 17 -0.512950 18 -0.497832 19 -0.491436 20 -0.484983 21 -0.480259 22 -0.474057 23 -0.428322 24 -0.377570 25 -0.325755 26 -0.300032 27 -0.296681 28 -0.239108 29 -0.200435 30 -0.114643 31 -0.098917 32 -0.061219 33 -0.053422 34 0.057066 35 0.061595 36 0.076685 37 0.094431 38 0.099447 39 0.135643 40 0.137647 41 0.170528 42 0.203964 43 0.232089 44 0.308158 45 0.378429 46 0.496303 47 0.507458 48 0.514400 49 0.549821 50 0.558334 51 0.588569 52 0.628570 53 0.634606 54 0.651634 55 0.661657 56 0.681435 57 0.737389 58 0.781807 59 0.826675 60 0.834387 61 0.858527 62 0.868021 63 0.918583 64 0.923796 65 0.992269 Saved graphics file "density.png" Saved graphics file "energy_065_r.png" Saved graphics file "motion_065_r.png" Saved graphics file "evolution_065_r.png" CVT data: K G H rho H^3 mu H 1 -0.9999 0.002143 0.004926 0.1701 2 -0.9958 0.006081 0.0002932 0.06643 3 -0.9878 0.009922 0.000258 0.06366 4 -0.9760 0.0136 0.0002433 0.06242 5 -0.9606 0.01704 0.0002309 0.06135 6 -0.9420 0.02022 0.0002183 0.06021 7 -0.9203 0.02308 0.0002051 0.05897 8 -0.8959 0.02561 0.0001915 0.05764 9 -0.8691 0.02782 0.0001779 0.05624 10 -0.8403 0.0297 0.0001643 0.05478 11 -0.8097 0.03126 0.0001512 0.05328 12 -0.7778 0.03254 0.0001388 0.05178 13 -0.7447 0.03358 0.0001273 0.05031 14 -0.7106 0.0344 0.0001169 0.04889 15 -0.6759 0.03503 0.0001074 0.04754 16 -0.6406 0.03553 9.904e-05 0.04627 17 -0.6048 0.03592 9.173e-05 0.0451 18 -0.5687 0.03623 8.542e-05 0.04404 19 -0.5323 0.03648 8.005e-05 0.0431 20 -0.4957 0.03672 7.555e-05 0.04227 21 -0.4588 0.03693 7.182e-05 0.04157 22 -0.4218 0.03715 6.88e-05 0.04098 23 -0.3845 0.03738 6.638e-05 0.04049 24 -0.3470 0.03761 6.448e-05 0.0401 25 -0.3092 0.03784 6.302e-05 0.03979 26 -0.2713 0.03808 6.193e-05 0.03956 27 -0.2330 0.03831 6.115e-05 0.0394 28 -0.1946 0.03853 6.061e-05 0.03928 29 -0.1560 0.03872 6.025e-05 0.0392 30 -0.1172 0.03889 6.003e-05 0.03915 31 -0.0782 0.03901 5.991e-05 0.03913 32 -0.0391 0.03909 5.987e-05 0.03912 33 0.0000 0.03644 4.838e-05 0.03644 34 0.0338 0.03379 3.865e-05 0.03381 35 0.0676 0.03389 3.92e-05 0.03397 36 0.1016 0.03405 4.01e-05 0.03423 37 0.1358 0.03427 4.137e-05 0.03459 38 0.1702 0.03453 4.302e-05 0.03504 39 0.2049 0.03483 4.507e-05 0.03559 40 0.2399 0.03518 4.757e-05 0.03623 41 0.2753 0.03555 5.056e-05 0.03698 42 0.3110 0.03594 5.407e-05 0.03781 43 0.3472 0.03633 5.816e-05 0.03874 44 0.3837 0.03672 6.288e-05 0.03977 45 0.4207 0.03709 6.831e-05 0.04088 46 0.4579 0.03741 7.451e-05 0.04208 47 0.4955 0.03767 8.156e-05 0.04337 48 0.5333 0.03784 8.95e-05 0.04473 49 0.5712 0.0379 9.842e-05 0.04617 50 0.6091 0.03781 0.0001084 0.04767 51 0.6468 0.03754 0.0001193 0.04923 52 0.6842 0.03707 0.0001313 0.05082 53 0.7209 0.03634 0.0001442 0.05244 54 0.7568 0.03534 0.0001581 0.05407 55 0.7916 0.03403 0.0001727 0.05569 56 0.8248 0.03238 0.0001878 0.05727 57 0.8563 0.03037 0.0002033 0.0588 58 0.8855 0.028 0.0002189 0.06026 59 0.9122 0.02525 0.0002341 0.06163 60 0.9360 0.02214 0.0002488 0.06289 61 0.9564 0.0187 0.0002629 0.06406 62 0.9733 0.01496 0.0002772 0.0652 63 0.9863 0.01097 0.0002947 0.06655 64 0.9952 0.006781 0.0003355 0.06949 65 0.9999 0.00246 0.003259 0.1483 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|| = 0.605764 Saved CVT coordinates in file "cvt_065_r.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 0.79589 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:17:49 Output saved in "output_065_r.txt"