18-Jul-2023 10:16:24 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 (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" Graphics saved as "motion_065_c.png" Saved graphics file "evolution_065_c.png" CVT data: K G H rho H^3 mu H 1 -0.9999 0.001366 0.0006335 0.08588 2 -0.9974 0.003603 0.0001246 0.04995 3 -0.9927 0.005859 0.0001139 0.04847 4 -0.9857 0.008125 0.0001118 0.04818 5 -0.9764 0.0104 0.0001118 0.04818 6 -0.9649 0.01267 0.0001122 0.04823 7 -0.9511 0.0149 0.0001122 0.04824 8 -0.9351 0.0171 0.0001123 0.04824 9 -0.9169 0.01926 0.0001123 0.04824 10 -0.8966 0.02136 0.0001122 0.04823 11 -0.8742 0.02342 0.0001121 0.04822 12 -0.8497 0.02542 0.0001121 0.04822 13 -0.8233 0.02738 0.0001122 0.04823 14 -0.7950 0.02926 0.0001122 0.04824 15 -0.7648 0.03108 0.0001123 0.04824 16 -0.7328 0.03284 0.0001124 0.04826 17 -0.6991 0.03452 0.0001125 0.04828 18 -0.6638 0.03612 0.0001126 0.04829 19 -0.6269 0.03764 0.0001127 0.04831 20 -0.5885 0.03906 0.0001128 0.04832 21 -0.5487 0.0404 0.0001128 0.04832 22 -0.5077 0.04164 0.0001129 0.04833 23 -0.4655 0.04279 0.000113 0.04834 24 -0.4221 0.04384 0.0001131 0.04836 25 -0.3778 0.04478 0.0001131 0.04837 26 -0.3326 0.04562 0.0001132 0.04838 27 -0.2865 0.04636 0.0001133 0.04839 28 -0.2398 0.04698 0.0001133 0.0484 29 -0.1926 0.0475 0.0001134 0.0484 30 -0.1448 0.0479 0.0001135 0.04841 31 -0.0968 0.0482 0.0001136 0.04843 32 -0.0484 0.04838 0.0001137 0.04844 33 0.0000 0.04818 0.0001118 0.04818 34 0.0479 0.04786 0.00011 0.04791 35 0.0957 0.0477 0.0001101 0.04792 36 0.1433 0.04744 0.0001101 0.04793 37 0.1906 0.04706 0.0001102 0.04794 38 0.2374 0.04658 0.0001103 0.04795 39 0.2838 0.046 0.0001104 0.04797 40 0.3294 0.0453 0.0001104 0.04797 41 0.3743 0.04449 0.0001105 0.04798 42 0.4184 0.04359 0.0001105 0.04799 43 0.4615 0.04258 0.0001106 0.048 44 0.5036 0.04147 0.0001106 0.048 45 0.5445 0.04025 0.0001105 0.04799 46 0.5841 0.03895 0.0001105 0.04798 47 0.6224 0.03755 0.0001104 0.04798 48 0.6592 0.03607 0.0001104 0.04797 49 0.6945 0.03451 0.0001103 0.04796 50 0.7282 0.03287 0.0001103 0.04796 51 0.7602 0.03115 0.0001103 0.04795 52 0.7905 0.02937 0.0001103 0.04796 53 0.8190 0.02753 0.0001104 0.04798 54 0.8456 0.02563 0.0001107 0.04801 55 0.8702 0.02367 0.0001109 0.04805 56 0.8929 0.02165 0.0001112 0.04808 57 0.9135 0.01957 0.0001114 0.04812 58 0.9321 0.01745 0.0001117 0.04816 59 0.9484 0.01529 0.0001123 0.04824 60 0.9626 0.01309 0.0001129 0.04833 61 0.9746 0.01085 0.0001139 0.04847 62 0.9844 0.008593 0.000116 0.04877 63 0.9918 0.006302 0.0001201 0.04934 64 0.9970 0.003983 0.0001334 0.0511 65 0.9998 0.001634 0.000459 0.07714 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| = 0.0167717 Saved CVT coordinates in file "cvt_065_c.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 391.526 seconds. CVT_1D_LUMPING Normal end of execution. 18-Jul-2023 10:22:57 Output saved in "output_065_c.txt"