14-May-2025 11:37:16 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 (Random, sorted): 1 -0.978590 2 -0.952187 3 -0.951641 4 -0.938575 5 -0.881788 6 -0.881528 7 -0.854485 8 -0.772847 9 -0.738430 10 -0.733552 11 -0.727470 12 -0.720292 13 -0.705315 14 -0.691213 15 -0.675275 16 -0.670078 17 -0.664103 18 -0.599985 19 -0.599411 20 -0.551979 21 -0.457621 22 -0.422698 23 -0.380823 24 -0.380569 25 -0.290201 26 -0.178611 27 -0.172091 28 -0.171651 29 -0.151255 30 -0.116645 31 -0.074630 32 -0.053917 33 0.008642 34 0.050702 35 0.051992 36 0.234049 37 0.267207 38 0.299548 39 0.337146 40 0.347392 41 0.363062 42 0.397461 43 0.509340 44 0.541288 45 0.563159 46 0.578753 47 0.606122 48 0.619625 49 0.627303 50 0.637599 51 0.638637 52 0.695582 53 0.696478 54 0.743644 55 0.752338 56 0.785846 57 0.826002 58 0.834254 59 0.875772 60 0.883208 61 0.885250 62 0.886464 63 0.916638 64 0.933246 65 0.936365 Saved graphics file "density.png" Saved graphics file "energy_065_r.png" Graphics saved as "motion_065_r.png" Saved graphics file "evolution_065_r.png" CVT data: K G H rho H^3 mu H 1 -0.9998 0.002043 0.001563 0.1161 2 -0.9961 0.005497 0.0002395 0.0621 3 -0.9889 0.008904 0.0002144 0.05985 4 -0.9783 0.0122 0.0002042 0.05889 5 -0.9645 0.01534 0.0001961 0.0581 6 -0.9476 0.0183 0.000188 0.05729 7 -0.9279 0.02102 0.0001794 0.0564 8 -0.9056 0.0235 0.0001702 0.05542 9 -0.8810 0.02573 0.0001609 0.05439 10 -0.8542 0.02772 0.0001515 0.05331 11 -0.8256 0.02947 0.0001425 0.05223 12 -0.7953 0.031 0.0001337 0.05113 13 -0.7636 0.03232 0.0001254 0.05005 14 -0.7307 0.03345 0.0001176 0.049 15 -0.6967 0.03442 0.0001105 0.04798 16 -0.6618 0.03525 0.000104 0.04702 17 -0.6262 0.03597 9.82e-05 0.04614 18 -0.5899 0.0366 9.311e-05 0.04532 19 -0.5530 0.03714 8.855e-05 0.04457 20 -0.5156 0.03762 8.464e-05 0.04391 21 -0.4777 0.03806 8.133e-05 0.04333 22 -0.4394 0.03846 7.847e-05 0.04281 23 -0.4008 0.03882 7.605e-05 0.04237 24 -0.3618 0.03914 7.4e-05 0.04198 25 -0.3225 0.03943 7.227e-05 0.04165 26 -0.2829 0.03971 7.095e-05 0.0414 27 -0.2430 0.03996 6.993e-05 0.0412 28 -0.2029 0.04018 6.911e-05 0.04104 29 -0.1626 0.04038 6.856e-05 0.04093 30 -0.1221 0.04054 6.816e-05 0.04085 31 -0.0815 0.04066 6.791e-05 0.0408 32 -0.0408 0.04075 6.785e-05 0.04079 33 0.0000 0.04244 7.644e-05 0.04244 34 0.0441 0.04405 8.571e-05 0.04409 35 0.0881 0.0439 8.558e-05 0.04407 36 0.1319 0.04363 8.525e-05 0.04401 37 0.1753 0.04325 8.476e-05 0.04393 38 0.2183 0.04276 8.41e-05 0.04381 39 0.2608 0.04216 8.332e-05 0.04368 40 0.3027 0.04151 8.261e-05 0.04355 41 0.3438 0.04081 8.208e-05 0.04346 42 0.3843 0.04007 8.176e-05 0.0434 43 0.4240 0.03929 8.167e-05 0.04339 44 0.4629 0.03849 8.19e-05 0.04343 45 0.5010 0.03768 8.253e-05 0.04354 46 0.5383 0.03686 8.368e-05 0.04374 47 0.5748 0.03604 8.545e-05 0.04405 48 0.6104 0.03521 8.787e-05 0.04446 49 0.6452 0.03436 9.098e-05 0.04498 50 0.6792 0.03347 9.486e-05 0.04561 51 0.7122 0.03252 9.943e-05 0.04633 52 0.7442 0.03148 0.0001047 0.04713 53 0.7752 0.03034 0.0001108 0.04803 54 0.8049 0.02907 0.0001176 0.049 55 0.8333 0.02764 0.0001251 0.05001 56 0.8602 0.02605 0.0001333 0.05108 57 0.8854 0.02425 0.000142 0.05217 58 0.9087 0.02223 0.000151 0.05325 59 0.9298 0.01997 0.0001597 0.05426 60 0.9486 0.01748 0.0001684 0.05522 61 0.9648 0.01478 0.0001773 0.05617 62 0.9781 0.01189 0.0001867 0.05715 63 0.9885 0.008837 0.0001999 0.05847 64 0.9958 0.005622 0.0002293 0.0612 65 0.9997 0.002249 0.0009399 0.09796 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| = 0.339537 Saved CVT coordinates in file "cvt_065_r.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_065.txt" Iteration required 166.808 seconds. CVT_1D_LUMPING Normal end of execution. 14-May-2025 11:40:04 Output saved in "output_065_r.txt"