07-Jan-2022 18:17:59 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 (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 -0.9999 0.00128 0.001544 0.1156 2 -0.9975 0.00359 0.0001312 0.05081 3 -0.9928 0.00589 0.0001178 0.04903 4 -0.9857 0.008177 0.0001145 0.04856 5 -0.9764 0.01045 0.0001133 0.04838 6 -0.9648 0.0127 0.0001127 0.0483 7 -0.9510 0.01492 0.0001124 0.04826 8 -0.9350 0.01712 0.0001124 0.04826 9 -0.9168 0.01928 0.0001125 0.04827 10 -0.8964 0.0214 0.0001126 0.04829 11 -0.8740 0.02348 0.0001127 0.04831 12 -0.8495 0.02549 0.0001128 0.04831 13 -0.8230 0.02744 0.0001128 0.04831 14 -0.7946 0.02933 0.0001127 0.04831 15 -0.7643 0.03115 0.0001127 0.04831 16 -0.7323 0.0329 0.0001127 0.0483 17 -0.6985 0.03457 0.0001127 0.0483 18 -0.6632 0.03615 0.0001127 0.0483 19 -0.6262 0.03766 0.0001127 0.04831 20 -0.5878 0.03908 0.0001127 0.04831 21 -0.5481 0.04041 0.0001127 0.04831 22 -0.5070 0.04164 0.0001127 0.04831 23 -0.4648 0.04278 0.0001128 0.04831 24 -0.4215 0.04381 0.0001128 0.04831 25 -0.3772 0.04474 0.0001128 0.04831 26 -0.3320 0.04558 0.0001128 0.04832 27 -0.2860 0.0463 0.0001128 0.04832 28 -0.2394 0.04691 0.0001128 0.04832 29 -0.1922 0.04742 0.0001128 0.04832 30 -0.1445 0.04782 0.0001128 0.04832 31 -0.0966 0.0481 0.0001129 0.04833 32 -0.0483 0.04828 0.0001129 0.04833 33 0.0000 0.04827 0.0001124 0.04827 34 0.0482 0.04814 0.000112 0.0482 35 0.0963 0.04798 0.000112 0.04821 36 0.1442 0.04771 0.0001121 0.04821 37 0.1917 0.04732 0.0001121 0.04821 38 0.2388 0.04682 0.0001121 0.04821 39 0.2853 0.04621 0.0001121 0.04822 40 0.3312 0.0455 0.0001121 0.04822 41 0.3763 0.04467 0.0001121 0.04822 42 0.4206 0.04374 0.0001121 0.04821 43 0.4638 0.04271 0.000112 0.04821 44 0.5060 0.04158 0.000112 0.04821 45 0.5470 0.04035 0.000112 0.0482 46 0.5867 0.03904 0.000112 0.0482 47 0.6250 0.03763 0.000112 0.0482 48 0.6619 0.03613 0.000112 0.0482 49 0.6973 0.03455 0.000112 0.0482 50 0.7310 0.03289 0.0001119 0.04819 51 0.7631 0.03115 0.0001119 0.04819 52 0.7933 0.02934 0.0001119 0.04819 53 0.8217 0.02746 0.0001119 0.04819 54 0.8483 0.02553 0.000112 0.0482 55 0.8728 0.02353 0.0001121 0.04821 56 0.8953 0.02148 0.0001122 0.04823 57 0.9158 0.01938 0.0001123 0.04824 58 0.9341 0.01724 0.0001125 0.04827 59 0.9502 0.01505 0.0001127 0.04831 60 0.9642 0.01283 0.0001132 0.04837 61 0.9759 0.01058 0.0001139 0.04848 62 0.9853 0.008305 0.0001154 0.04869 63 0.9925 0.006009 0.000119 0.04918 64 0.9974 0.003695 0.000132 0.05092 65 0.9999 0.00137 0.0008734 0.09559 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|| = 0.00499928 Saved CVT coordinates in file "cvt_065_c.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 0.839461 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:18:00 Output saved in "output_065_c.txt"