07-Jan-2022 18:18:00 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 129 Number of iterations is 250 Number of samples is 400000 Initial generators (Chebyshev Zero nodes): 1 -0.999926 2 -0.999333 3 -0.998147 4 -0.996370 5 -0.994001 6 -0.991043 7 -0.987497 8 -0.983366 9 -0.978651 10 -0.973356 11 -0.967484 12 -0.961038 13 -0.954022 14 -0.946440 15 -0.938297 16 -0.929597 17 -0.920346 18 -0.910549 19 -0.900213 20 -0.889342 21 -0.877944 22 -0.866025 23 -0.853593 24 -0.840655 25 -0.827217 26 -0.813290 27 -0.798880 28 -0.783996 29 -0.768647 30 -0.752843 31 -0.736591 32 -0.719903 33 -0.702789 34 -0.685257 35 -0.667319 36 -0.648985 37 -0.630266 38 -0.611174 39 -0.591719 40 -0.571913 41 -0.551768 42 -0.531295 43 -0.510508 44 -0.489418 45 -0.468037 46 -0.446379 47 -0.424457 48 -0.402282 49 -0.379869 50 -0.357231 51 -0.334381 52 -0.311332 53 -0.288099 54 -0.264695 55 -0.241134 56 -0.217430 57 -0.193597 58 -0.169650 59 -0.145601 60 -0.121466 61 -0.097260 62 -0.072995 63 -0.048688 64 -0.024351 65 0.000000 66 0.024351 67 0.048688 68 0.072995 69 0.097260 70 0.121466 71 0.145601 72 0.169650 73 0.193597 74 0.217430 75 0.241134 76 0.264695 77 0.288099 78 0.311332 79 0.334381 80 0.357231 81 0.379869 82 0.402282 83 0.424457 84 0.446379 85 0.468037 86 0.489418 87 0.510508 88 0.531295 89 0.551768 90 0.571913 91 0.591719 92 0.611174 93 0.630266 94 0.648985 95 0.667319 96 0.685257 97 0.702789 98 0.719903 99 0.736591 100 0.752843 101 0.768647 102 0.783996 103 0.798880 104 0.813290 105 0.827217 106 0.840655 107 0.853593 108 0.866025 109 0.877944 110 0.889342 111 0.900213 112 0.910549 113 0.920346 114 0.929597 115 0.938297 116 0.946440 117 0.954022 118 0.961038 119 0.967484 120 0.973356 121 0.978651 122 0.983366 123 0.987497 124 0.991043 125 0.994001 126 0.996370 127 0.998147 128 0.999333 129 0.999926 Saved graphics file "density.png" Saved graphics file "energy_129_c.png" Saved graphics file "motion_129_c.png" Saved graphics file "evolution_129_c.png" CVT data: K G H rho H^3 mu H 1 -1.0000 0.0003465 8.187e-05 0.04342 2 -0.9993 0.0009154 1.596e-05 0.02518 3 -0.9981 0.00149 1.458e-05 0.02443 4 -0.9964 0.00207 1.432e-05 0.02428 5 -0.9940 0.002657 1.431e-05 0.02428 6 -0.9910 0.003246 1.437e-05 0.02431 7 -0.9875 0.003831 1.436e-05 0.02431 8 -0.9834 0.00441 1.434e-05 0.0243 9 -0.9787 0.004989 1.434e-05 0.02429 10 -0.9734 0.005566 1.434e-05 0.02429 11 -0.9676 0.00614 1.435e-05 0.0243 12 -0.9611 0.00671 1.435e-05 0.0243 13 -0.9541 0.007275 1.435e-05 0.0243 14 -0.9466 0.007835 1.434e-05 0.0243 15 -0.9385 0.00839 1.433e-05 0.02429 16 -0.9298 0.008941 1.433e-05 0.02429 17 -0.9206 0.00949 1.435e-05 0.0243 18 -0.9108 0.01003 1.436e-05 0.02431 19 -0.9005 0.01057 1.436e-05 0.02431 20 -0.8897 0.0111 1.437e-05 0.02431 21 -0.8783 0.01163 1.438e-05 0.02432 22 -0.8664 0.01214 1.439e-05 0.02432 23 -0.8540 0.01266 1.44e-05 0.02433 24 -0.8411 0.01316 1.44e-05 0.02433 25 -0.8277 0.01366 1.441e-05 0.02433 26 -0.8138 0.01414 1.442e-05 0.02434 27 -0.7994 0.01462 1.442e-05 0.02434 28 -0.7846 0.0151 1.443e-05 0.02435 29 -0.7692 0.01556 1.444e-05 0.02435 30 -0.7534 0.01601 1.445e-05 0.02436 31 -0.7372 0.01646 1.446e-05 0.02436 32 -0.7205 0.01689 1.446e-05 0.02436 33 -0.7034 0.01732 1.446e-05 0.02436 34 -0.6859 0.01773 1.447e-05 0.02437 35 -0.6679 0.01814 1.447e-05 0.02437 36 -0.6496 0.01853 1.447e-05 0.02437 37 -0.6309 0.0189 1.446e-05 0.02436 38 -0.6118 0.01927 1.446e-05 0.02436 39 -0.5923 0.01963 1.446e-05 0.02437 40 -0.5725 0.01998 1.446e-05 0.02436 41 -0.5524 0.02031 1.446e-05 0.02436 42 -0.5319 0.02063 1.446e-05 0.02436 43 -0.5111 0.02094 1.446e-05 0.02436 44 -0.4900 0.02124 1.446e-05 0.02436 45 -0.4687 0.02152 1.446e-05 0.02436 46 -0.4470 0.02179 1.446e-05 0.02436 47 -0.4251 0.02205 1.446e-05 0.02436 48 -0.4029 0.0223 1.447e-05 0.02437 49 -0.3805 0.02254 1.447e-05 0.02437 50 -0.3578 0.02276 1.448e-05 0.02437 51 -0.3350 0.02297 1.448e-05 0.02438 52 -0.3119 0.02316 1.449e-05 0.02438 53 -0.2886 0.02334 1.449e-05 0.02438 54 -0.2652 0.02351 1.449e-05 0.02438 55 -0.2416 0.02366 1.45e-05 0.02439 56 -0.2179 0.0238 1.451e-05 0.02439 57 -0.1940 0.02393 1.451e-05 0.02439 58 -0.1700 0.02404 1.452e-05 0.0244 59 -0.1459 0.02413 1.452e-05 0.0244 60 -0.1217 0.02422 1.452e-05 0.0244 61 -0.0975 0.02428 1.453e-05 0.0244 62 -0.0732 0.02434 1.454e-05 0.02441 63 -0.0488 0.02438 1.454e-05 0.02441 64 -0.0244 0.0244 1.455e-05 0.02441 65 0.0000 0.02435 1.445e-05 0.02435 66 0.0243 0.02429 1.434e-05 0.0243 67 0.0486 0.02427 1.434e-05 0.0243 68 0.0728 0.02423 1.434e-05 0.0243 69 0.0970 0.02418 1.435e-05 0.0243 70 0.1212 0.02412 1.435e-05 0.0243 71 0.1453 0.02405 1.436e-05 0.02431 72 0.1693 0.02396 1.436e-05 0.02431 73 0.1932 0.02385 1.437e-05 0.02431 74 0.2170 0.02373 1.437e-05 0.02431 75 0.2407 0.0236 1.437e-05 0.02431 76 0.2642 0.02345 1.438e-05 0.02432 77 0.2876 0.02329 1.438e-05 0.02432 78 0.3108 0.02312 1.439e-05 0.02432 79 0.3338 0.02293 1.439e-05 0.02432 80 0.3566 0.02273 1.44e-05 0.02433 81 0.3793 0.02251 1.44e-05 0.02433 82 0.4017 0.02228 1.44e-05 0.02433 83 0.4238 0.02204 1.44e-05 0.02433 84 0.4457 0.02178 1.44e-05 0.02433 85 0.4674 0.0215 1.439e-05 0.02432 86 0.4887 0.02122 1.438e-05 0.02432 87 0.5098 0.02092 1.438e-05 0.02432 88 0.5306 0.02061 1.437e-05 0.02431 89 0.5510 0.02029 1.437e-05 0.02431 90 0.5711 0.01995 1.436e-05 0.02431 91 0.5909 0.01961 1.436e-05 0.02431 92 0.6104 0.01925 1.436e-05 0.0243 93 0.6294 0.01888 1.435e-05 0.0243 94 0.6481 0.0185 1.434e-05 0.02429 95 0.6664 0.01811 1.433e-05 0.02429 96 0.6843 0.01771 1.433e-05 0.02429 97 0.7019 0.0173 1.433e-05 0.02429 98 0.7189 0.01688 1.432e-05 0.02429 99 0.7356 0.01645 1.432e-05 0.02428 100 0.7518 0.01601 1.432e-05 0.02428 101 0.7676 0.01556 1.431e-05 0.02428 102 0.7830 0.0151 1.43e-05 0.02427 103 0.7978 0.01463 1.429e-05 0.02427 104 0.8122 0.01415 1.427e-05 0.02426 105 0.8261 0.01366 1.426e-05 0.02425 106 0.8396 0.01317 1.425e-05 0.02424 107 0.8525 0.01267 1.424e-05 0.02424 108 0.8649 0.01216 1.423e-05 0.02423 109 0.8768 0.01165 1.422e-05 0.02423 110 0.8882 0.01113 1.42e-05 0.02422 111 0.8991 0.0106 1.419e-05 0.02421 112 0.9094 0.01007 1.419e-05 0.02421 113 0.9192 0.00953 1.417e-05 0.0242 114 0.9285 0.008988 1.417e-05 0.0242 115 0.9372 0.008443 1.417e-05 0.0242 116 0.9453 0.007892 1.418e-05 0.0242 117 0.9530 0.007337 1.418e-05 0.02421 118 0.9600 0.006779 1.42e-05 0.02421 119 0.9665 0.006217 1.422e-05 0.02423 120 0.9724 0.005652 1.425e-05 0.02425 121 0.9778 0.005083 1.43e-05 0.02427 122 0.9826 0.004511 1.435e-05 0.0243 123 0.9868 0.003935 1.441e-05 0.02433 124 0.9905 0.003356 1.451e-05 0.02439 125 0.9936 0.002775 1.467e-05 0.02448 126 0.9960 0.00219 1.492e-05 0.02462 127 0.9979 0.0016 1.542e-05 0.02489 128 0.9992 0.001005 1.704e-05 0.02573 129 0.9999 0.0004097 5.793e-05 0.03869 Chebyshev Zero Node data for comparison K G H rho H^3 mu H 1 -0.9999 0.0003706 2.82e-05 0.03044 2 -0.9993 0.0008893 1.444e-05 0.02435 3 -0.9981 0.001482 1.444e-05 0.02435 4 -0.9964 0.002073 1.444e-05 0.02435 5 -0.9940 0.002663 1.444e-05 0.02435 6 -0.9910 0.003252 1.444e-05 0.02435 7 -0.9875 0.003839 1.444e-05 0.02435 8 -0.9834 0.004423 1.444e-05 0.02435 9 -0.9787 0.005005 1.444e-05 0.02435 10 -0.9734 0.005584 1.444e-05 0.02435 11 -0.9675 0.006159 1.444e-05 0.02435 12 -0.9610 0.006731 1.444e-05 0.02435 13 -0.9540 0.007299 1.444e-05 0.02435 14 -0.9464 0.007862 1.444e-05 0.02435 15 -0.9383 0.008421 1.444e-05 0.02435 16 -0.9296 0.008975 1.444e-05 0.02435 17 -0.9203 0.009524 1.444e-05 0.02435 18 -0.9105 0.01007 1.444e-05 0.02435 19 -0.9002 0.0106 1.444e-05 0.02435 20 -0.8893 0.01113 1.444e-05 0.02435 21 -0.8779 0.01166 1.444e-05 0.02435 22 -0.8660 0.01218 1.444e-05 0.02435 23 -0.8536 0.01269 1.444e-05 0.02435 24 -0.8407 0.01319 1.444e-05 0.02435 25 -0.8272 0.01368 1.444e-05 0.02435 26 -0.8133 0.01417 1.444e-05 0.02435 27 -0.7989 0.01465 1.444e-05 0.02435 28 -0.7840 0.01512 1.444e-05 0.02435 29 -0.7686 0.01558 1.444e-05 0.02435 30 -0.7528 0.01603 1.444e-05 0.02435 31 -0.7366 0.01647 1.444e-05 0.02435 32 -0.7199 0.0169 1.444e-05 0.02435 33 -0.7028 0.01732 1.444e-05 0.02435 34 -0.6853 0.01773 1.444e-05 0.02435 35 -0.6673 0.01814 1.444e-05 0.02435 36 -0.6490 0.01853 1.444e-05 0.02435 37 -0.6303 0.01891 1.444e-05 0.02435 38 -0.6112 0.01927 1.444e-05 0.02435 39 -0.5917 0.01963 1.444e-05 0.02435 40 -0.5719 0.01998 1.444e-05 0.02435 41 -0.5518 0.02031 1.444e-05 0.02435 42 -0.5313 0.02063 1.444e-05 0.02435 43 -0.5105 0.02094 1.444e-05 0.02435 44 -0.4894 0.02124 1.444e-05 0.02435 45 -0.4680 0.02152 1.444e-05 0.02435 46 -0.4464 0.02179 1.444e-05 0.02435 47 -0.4245 0.02205 1.444e-05 0.02435 48 -0.4023 0.02229 1.444e-05 0.02435 49 -0.3799 0.02253 1.444e-05 0.02435 50 -0.3572 0.02274 1.444e-05 0.02435 51 -0.3344 0.02295 1.444e-05 0.02435 52 -0.3113 0.02314 1.444e-05 0.02435 53 -0.2881 0.02332 1.444e-05 0.02435 54 -0.2647 0.02348 1.444e-05 0.02435 55 -0.2411 0.02363 1.444e-05 0.02435 56 -0.2174 0.02377 1.444e-05 0.02435 57 -0.1936 0.02389 1.444e-05 0.02435 58 -0.1696 0.024 1.444e-05 0.02435 59 -0.1456 0.02409 1.444e-05 0.02435 60 -0.1215 0.02417 1.444e-05 0.02435 61 -0.0973 0.02424 1.444e-05 0.02435 62 -0.0730 0.02429 1.444e-05 0.02435 63 -0.0487 0.02432 1.444e-05 0.02435 64 -0.0244 0.02434 1.444e-05 0.02435 65 0.0000 0.02435 1.444e-05 0.02435 66 0.0244 0.02434 1.444e-05 0.02435 67 0.0487 0.02432 1.444e-05 0.02435 68 0.0730 0.02429 1.444e-05 0.02435 69 0.0973 0.02424 1.444e-05 0.02435 70 0.1215 0.02417 1.444e-05 0.02435 71 0.1456 0.02409 1.444e-05 0.02435 72 0.1696 0.024 1.444e-05 0.02435 73 0.1936 0.02389 1.444e-05 0.02435 74 0.2174 0.02377 1.444e-05 0.02435 75 0.2411 0.02363 1.444e-05 0.02435 76 0.2647 0.02348 1.444e-05 0.02435 77 0.2881 0.02332 1.444e-05 0.02435 78 0.3113 0.02314 1.444e-05 0.02435 79 0.3344 0.02295 1.444e-05 0.02435 80 0.3572 0.02274 1.444e-05 0.02435 81 0.3799 0.02253 1.444e-05 0.02435 82 0.4023 0.02229 1.444e-05 0.02435 83 0.4245 0.02205 1.444e-05 0.02435 84 0.4464 0.02179 1.444e-05 0.02435 85 0.4680 0.02152 1.444e-05 0.02435 86 0.4894 0.02124 1.444e-05 0.02435 87 0.5105 0.02094 1.444e-05 0.02435 88 0.5313 0.02063 1.444e-05 0.02435 89 0.5518 0.02031 1.444e-05 0.02435 90 0.5719 0.01998 1.444e-05 0.02435 91 0.5917 0.01963 1.444e-05 0.02435 92 0.6112 0.01927 1.444e-05 0.02435 93 0.6303 0.01891 1.444e-05 0.02435 94 0.6490 0.01853 1.444e-05 0.02435 95 0.6673 0.01814 1.444e-05 0.02435 96 0.6853 0.01773 1.444e-05 0.02435 97 0.7028 0.01732 1.444e-05 0.02435 98 0.7199 0.0169 1.444e-05 0.02435 99 0.7366 0.01647 1.444e-05 0.02435 100 0.7528 0.01603 1.444e-05 0.02435 101 0.7686 0.01558 1.444e-05 0.02435 102 0.7840 0.01512 1.444e-05 0.02435 103 0.7989 0.01465 1.444e-05 0.02435 104 0.8133 0.01417 1.444e-05 0.02435 105 0.8272 0.01368 1.444e-05 0.02435 106 0.8407 0.01319 1.444e-05 0.02435 107 0.8536 0.01269 1.444e-05 0.02435 108 0.8660 0.01218 1.444e-05 0.02435 109 0.8779 0.01166 1.444e-05 0.02435 110 0.8893 0.01113 1.444e-05 0.02435 111 0.9002 0.0106 1.444e-05 0.02435 112 0.9105 0.01007 1.444e-05 0.02435 113 0.9203 0.009524 1.444e-05 0.02435 114 0.9296 0.008975 1.444e-05 0.02435 115 0.9383 0.008421 1.444e-05 0.02435 116 0.9464 0.007862 1.444e-05 0.02435 117 0.9540 0.007299 1.444e-05 0.02435 118 0.9610 0.006731 1.444e-05 0.02435 119 0.9675 0.006159 1.444e-05 0.02435 120 0.9734 0.005584 1.444e-05 0.02435 121 0.9787 0.005005 1.444e-05 0.02435 122 0.9834 0.004423 1.444e-05 0.02435 123 0.9875 0.003839 1.444e-05 0.02435 124 0.9910 0.003252 1.444e-05 0.02435 125 0.9940 0.002663 1.444e-05 0.02435 126 0.9964 0.002073 1.444e-05 0.02435 127 0.9981 0.001482 1.444e-05 0.02435 128 0.9993 0.0008893 1.444e-05 0.02435 129 0.9999 0.0003706 2.82e-05 0.03044 ||G-ChebyshevZero|| = 0.00734292 Saved CVT coordinates in file "cvt_129_c.txt" Saved Chebyshev Zero node coordinates in file "chebyzero_129.txt" Iteration required 0.817232 seconds. CVT_1D_LUMPING Normal end of execution. 07-Jan-2022 18:18:02 Output saved in "output_129_c.txt"