24-Dec-2018 09:02:20 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 1000 Number of samples is 4000000 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 -1.0000 0.001351 0.009819 0.2141 2 -0.9973 0.003969 0.0001595 0.05423 3 -0.9920 0.00657 0.0001421 0.05218 4 -0.9842 0.00914 0.0001373 0.05159 5 -0.9738 0.01167 0.0001348 0.05128 6 -0.9609 0.01414 0.000133 0.05104 7 -0.9455 0.01655 0.0001313 0.05083 8 -0.9278 0.01889 0.0001296 0.05061 9 -0.9077 0.02114 0.0001279 0.05039 10 -0.8855 0.0233 0.0001261 0.05015 11 -0.8611 0.02537 0.0001243 0.04991 12 -0.8348 0.02734 0.0001224 0.04965 13 -0.8065 0.0292 0.0001204 0.04938 14 -0.7764 0.03095 0.0001184 0.0491 15 -0.7446 0.03259 0.0001164 0.04882 16 -0.7112 0.03412 0.0001143 0.04853 17 -0.6763 0.03554 0.0001123 0.04825 18 -0.6401 0.03685 0.0001103 0.04796 19 -0.6027 0.03805 0.0001084 0.04768 20 -0.5640 0.03914 0.0001065 0.0474 21 -0.5244 0.04013 0.0001047 0.04713 22 -0.4838 0.04103 0.000103 0.04688 23 -0.4423 0.04182 0.0001014 0.04663 24 -0.4001 0.04253 9.995e-05 0.04641 25 -0.3572 0.04315 9.86e-05 0.0462 26 -0.3138 0.04369 9.74e-05 0.04601 27 -0.2699 0.04414 9.634e-05 0.04584 28 -0.2255 0.04452 9.544e-05 0.0457 29 -0.1808 0.04483 9.469e-05 0.04558 30 -0.1358 0.04506 9.41e-05 0.04548 31 -0.0907 0.04523 9.368e-05 0.04542 32 -0.0454 0.04533 9.343e-05 0.04538 33 0.0000 0.04534 9.32e-05 0.04534 34 0.0453 0.04528 9.313e-05 0.04533 35 0.0906 0.04518 9.339e-05 0.04537 36 0.1357 0.04502 9.382e-05 0.04544 37 0.1806 0.04479 9.441e-05 0.04554 38 0.2253 0.04448 9.517e-05 0.04566 39 0.2696 0.04411 9.609e-05 0.0458 40 0.3135 0.04365 9.715e-05 0.04597 41 0.3569 0.04312 9.836e-05 0.04616 42 0.3998 0.04251 9.971e-05 0.04637 43 0.4419 0.0418 0.0001012 0.0466 44 0.4834 0.04101 0.0001028 0.04684 45 0.5240 0.04012 0.0001045 0.0471 46 0.5636 0.03913 0.0001063 0.04737 47 0.6022 0.03804 0.0001082 0.04765 48 0.6397 0.03684 0.0001101 0.04793 49 0.6759 0.03554 0.0001121 0.04822 50 0.7108 0.03412 0.0001142 0.04851 51 0.7441 0.0326 0.0001162 0.0488 52 0.7759 0.03096 0.0001182 0.04908 53 0.8061 0.02921 0.0001203 0.04936 54 0.8344 0.02736 0.0001223 0.04963 55 0.8608 0.0254 0.0001242 0.04989 56 0.8851 0.02333 0.0001261 0.05014 57 0.9074 0.02117 0.0001279 0.05038 58 0.9275 0.01892 0.0001296 0.05061 59 0.9453 0.01659 0.0001313 0.05083 60 0.9607 0.01418 0.000133 0.05105 61 0.9736 0.01171 0.0001349 0.05129 62 0.9841 0.009179 0.0001375 0.05162 63 0.9920 0.006608 0.0001424 0.05222 64 0.9973 0.004005 0.0001597 0.05425 65 1.0000 0.001381 0.004999 0.171 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|| = 0.125636 Saved CVT coordinates in file "cvt_065_u.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 24.915 seconds. CVT_1D_LUMPING Normal end of execution. 24-Dec-2018 09:02:47 Output saved in "output_065_u.txt"