19-Jul-2023 07:15:53 CVT_2D_LUMPING_TEST(): CVT_2D_LUMPING() applies a certain number of iterations to an initial set of N points in the unit square, using a sampling approach to estimate centroids, and a weight function which affects the centroids, in an attempt to locate an arrangement of the points that satisfies the CVT condition. CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 3 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.6815 0.5169 2 0.4370 -0.3519 3 -0.6293 -0.1186 Graphics saved as "energy_003_r.png" Graphics saved as "motion_003_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_003.png" Graphics saved as "voronoi_003.png" Graphics saved as "delaunay_003.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 6 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.2238 0.9061 2 0.1102 -0.0074 3 -0.4672 0.3621 4 0.0679 0.6637 5 -0.0454 0.2121 6 -0.8847 0.5034 Graphics saved as "energy_006_r.png" Graphics saved as "motion_006_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_006.png" Graphics saved as "voronoi_006.png" Graphics saved as "delaunay_006.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 10 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.3946 0.0266 2 0.9484 -0.5581 3 0.6513 -0.1961 4 -0.4582 0.1929 5 -0.6368 -0.3465 6 -0.6744 -0.1328 7 0.2952 0.0120 8 -0.1085 -0.5626 9 0.1750 0.5867 10 -0.6595 0.5518 Graphics saved as "energy_010_r.png" Graphics saved as "motion_010_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_010.png" Graphics saved as "voronoi_010.png" Graphics saved as "delaunay_010.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 15 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.2471 -0.2257 2 -0.0038 -0.4874 3 0.7315 0.8574 4 -0.6772 -0.4628 5 0.1802 0.8940 6 0.5398 0.7507 7 0.3792 -0.2710 8 0.6276 -0.6479 9 -0.2326 -0.7491 10 -0.6621 0.6146 11 0.3958 -0.6578 12 0.2940 -0.1841 13 0.0461 -0.1424 14 0.6125 -0.0466 15 0.4499 0.5977 Graphics saved as "energy_015_r.png" Graphics saved as "motion_015_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_015.png" Graphics saved as "voronoi_015.png" Graphics saved as "delaunay_015.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 21 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.8462 0.7101 2 0.0120 0.1998 3 0.4456 0.8295 4 -0.8003 -0.6533 5 0.2316 -0.7729 6 -0.6205 -0.2840 7 -0.1675 -0.8018 8 0.0653 0.6267 9 0.0342 0.2922 10 -0.9063 0.3744 11 -0.3594 -0.6699 12 -0.5259 -0.1181 13 0.4434 -0.1477 14 0.0770 -0.5276 15 0.7973 0.5014 16 0.3305 0.9804 17 -0.5339 -0.3825 18 -0.7277 -0.3686 19 -0.0573 0.7129 20 0.0306 -0.0584 21 0.5755 -0.0335 Graphics saved as "energy_021_r.png" Graphics saved as "motion_021_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_021.png" Graphics saved as "voronoi_021.png" Graphics saved as "delaunay_021.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 28 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 -0.5208 -0.6665 2 -0.1543 0.3883 3 0.6281 -0.0111 4 0.8368 0.7656 5 0.6591 0.1723 6 0.7616 0.3425 7 0.1047 0.6130 8 -0.7737 -0.6099 9 0.5568 0.5239 10 0.8421 -0.7690 11 0.7331 0.0015 12 0.2300 0.6857 13 -0.3434 -0.0893 14 -0.6219 -0.3444 15 0.9141 -0.9674 16 -0.7791 -0.8635 17 0.5549 -0.4668 18 -0.1030 -0.1154 19 0.1309 -0.8422 20 -0.3763 0.0357 21 -0.7980 -0.9640 22 -0.9065 0.9514 23 0.1144 0.8547 24 0.2026 -0.1394 25 -0.2669 -0.5125 26 0.5501 0.4391 27 0.0831 -0.5881 28 0.9792 0.9854 Graphics saved as "energy_028_r.png" Graphics saved as "motion_028_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_028.png" Graphics saved as "voronoi_028.png" Graphics saved as "delaunay_028.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 36 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.5553 -0.9462 2 0.8501 -0.5595 3 -0.7533 -0.2492 4 -0.9569 0.8266 5 -0.1400 0.9704 6 0.3079 -0.0784 7 -0.0415 -0.7149 8 -0.0105 -0.1292 9 -0.6166 -0.0238 10 0.6708 -0.0535 11 -0.1971 -0.5797 12 -0.3309 -0.8098 13 -0.1912 0.5259 14 0.0795 0.6206 15 -0.0388 -0.9069 16 -0.3034 0.8433 17 -0.4990 0.4225 18 -0.3953 0.1406 19 -0.9285 0.7069 20 0.2066 0.6631 21 -0.4423 -0.4954 22 0.2797 -0.9741 23 -0.7812 -0.5871 24 -0.2964 0.0497 25 -0.8463 0.8291 26 0.3603 0.6246 27 0.6558 0.4828 28 0.0655 -0.7919 29 -0.8834 0.5262 30 0.5326 -0.3239 31 -0.1323 -0.2412 32 0.5131 0.0125 33 0.6192 -0.3902 34 -0.5630 0.5573 35 -0.0399 -0.0619 36 0.9695 -0.3959 Graphics saved as "energy_036_r.png" Graphics saved as "motion_036_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_036.png" Graphics saved as "voronoi_036.png" Graphics saved as "delaunay_036.png" CVT_2D_LUMPING(): MATLAB/Octave version 5.2.0 Use lumping to implement a version of Lloyd's algorithm in the 2D square [-1,1]x[-1,+1]. Number of generators is 45 Number of iterations is 100 Sample rate in 1D is 1000 Initial generators (uniform random): 1 0.0510 -0.2653 2 0.6140 0.9570 3 0.2260 -0.3938 4 -0.0995 0.5224 5 0.1117 -0.3622 6 -0.2030 -0.6578 7 0.7114 -0.0769 8 -0.9832 0.3600 9 0.4314 0.3995 10 -0.1968 -0.7073 11 -0.4596 0.5065 12 0.9643 -0.7958 13 0.1815 0.8577 14 0.1924 0.8325 15 0.2213 0.4407 16 -0.7266 0.8927 17 -0.3835 -0.0571 18 -0.7116 0.2398 19 0.1008 0.0910 20 0.4237 -0.5505 21 0.9261 0.4793 22 0.7993 0.5317 23 0.6646 -0.4175 24 0.8848 -0.7889 25 -0.5380 0.5637 26 -0.6043 -0.1084 27 0.9345 -0.1147 28 0.3458 -0.7601 29 0.8432 -0.1852 30 0.1060 0.8110 31 0.4839 -0.2835 32 -0.8587 0.9219 33 -0.5981 -0.6045 34 -0.4897 -0.2988 35 -0.1038 0.2876 36 0.0842 -0.8025 37 0.8961 -0.2264 38 0.8049 -0.6699 39 -0.8084 0.7293 40 -0.5665 -0.3979 41 -0.0160 0.9537 42 0.3939 0.8669 43 -0.8817 -0.2987 44 0.4194 -0.3827 45 0.8596 -0.7762 Graphics saved as "energy_045_r.png" Graphics saved as "motion_045_r.png" CVT_2D_LUMPING(): Normal end of execution. Graphics saved as "generators_045.png" Graphics saved as "voronoi_045.png" Graphics saved as "delaunay_045.png" cvt_2d_lumping_test(): Normal end of execution. 19-Jul-2023 07:17:36