24-Dec-2018 08:59:03 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 (Chebyshev Zero nodes): 1 -0.999708 2 -0.997373 3 -0.992709 4 -0.985726 5 -0.976441 6 -0.964876 7 -0.951057 8 -0.935016 9 -0.916792 10 -0.896427 11 -0.873968 12 -0.849468 13 -0.822984 14 -0.794578 15 -0.764316 16 -0.732269 17 -0.698511 18 -0.663123 19 -0.626185 20 -0.587785 21 -0.548013 22 -0.506960 23 -0.464723 24 -0.421401 25 -0.377095 26 -0.331908 27 -0.285946 28 -0.239316 29 -0.192127 30 -0.144489 31 -0.096514 32 -0.048313 33 0.000000 34 0.048313 35 0.096514 36 0.144489 37 0.192127 38 0.239316 39 0.285946 40 0.331908 41 0.377095 42 0.421401 43 0.464723 44 0.506960 45 0.548013 46 0.587785 47 0.626185 48 0.663123 49 0.698511 50 0.732269 51 0.764316 52 0.794578 53 0.822984 54 0.849468 55 0.873968 56 0.896427 57 0.916792 58 0.935016 59 0.951057 60 0.964876 61 0.976441 62 0.985726 63 0.992709 64 0.997373 65 0.999708 Saved graphics file "density.png" Saved graphics file "energy_065_c.png" Saved graphics file "motion_065_c.png" Saved graphics file "evolution_065_c.png" CVT data: K G H rho H^3 mu H 1 -1.0000 0.001204 0.00757 0.1964 2 -0.9976 0.003534 0.0001339 0.05115 3 -0.9929 0.005856 0.0001196 0.04927 4 -0.9859 0.008164 0.0001161 0.04879 5 -0.9766 0.01045 0.0001147 0.04859 6 -0.9650 0.01272 0.000114 0.04849 7 -0.9511 0.01495 0.0001136 0.04843 8 -0.9351 0.01715 0.0001134 0.0484 9 -0.9168 0.01931 0.0001132 0.04837 10 -0.8965 0.02143 0.0001131 0.04836 11 -0.8740 0.02349 0.000113 0.04835 12 -0.8495 0.0255 0.0001129 0.04834 13 -0.8230 0.02746 0.0001129 0.04833 14 -0.7946 0.02934 0.0001129 0.04833 15 -0.7643 0.03116 0.0001128 0.04832 16 -0.7322 0.03291 0.0001128 0.04832 17 -0.6985 0.03458 0.0001128 0.04832 18 -0.6631 0.03616 0.0001128 0.04831 19 -0.6262 0.03767 0.0001128 0.04831 20 -0.5878 0.03908 0.0001127 0.04831 21 -0.5480 0.04041 0.0001127 0.04831 22 -0.5069 0.04164 0.0001127 0.04831 23 -0.4647 0.04277 0.0001127 0.04831 24 -0.4214 0.04381 0.0001127 0.04831 25 -0.3771 0.04474 0.0001127 0.04831 26 -0.3319 0.04557 0.0001127 0.04831 27 -0.2859 0.04629 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 0.0483 0.0001127 0.0483 34 0.0483 0.04822 0.0001125 0.04828 35 0.0964 0.04806 0.0001125 0.04828 36 0.1444 0.04777 0.0001125 0.04828 37 0.1920 0.04738 0.0001125 0.04828 38 0.2392 0.04688 0.0001126 0.04828 39 0.2858 0.04627 0.0001126 0.04828 40 0.3317 0.04555 0.0001126 0.04828 41 0.3769 0.04472 0.0001126 0.04828 42 0.4211 0.04379 0.0001126 0.04828 43 0.4644 0.04276 0.0001126 0.04829 44 0.5067 0.04163 0.0001126 0.04829 45 0.5477 0.0404 0.0001126 0.04829 46 0.5875 0.03908 0.0001126 0.04829 47 0.6259 0.03766 0.0001126 0.04829 48 0.6628 0.03616 0.0001126 0.04829 49 0.6982 0.03458 0.0001127 0.0483 50 0.7320 0.03291 0.0001127 0.0483 51 0.7640 0.03117 0.0001127 0.0483 52 0.7943 0.02935 0.0001127 0.04831 53 0.8227 0.02747 0.0001128 0.04832 54 0.8492 0.02552 0.0001128 0.04832 55 0.8737 0.02351 0.0001129 0.04833 56 0.8962 0.02145 0.000113 0.04835 57 0.9166 0.01933 0.0001131 0.04836 58 0.9349 0.01717 0.0001133 0.04839 59 0.9510 0.01498 0.0001135 0.04842 60 0.9648 0.01274 0.000114 0.04848 61 0.9765 0.01048 0.0001147 0.04858 62 0.9858 0.00819 0.0001161 0.04878 63 0.9928 0.005883 0.0001196 0.04927 64 0.9976 0.003562 0.0001337 0.05113 65 1.0000 0.00123 0.003853 0.1568 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|| = 0.00136428 Saved CVT coordinates in file "cvt_065_c.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 26.6806 seconds. CVT_1D_LUMPING Normal end of execution. 24-Dec-2018 08:59:32 Output saved in "output_065_c.txt"