07 March 2011 10:38:47 AM SPARSE_GRID_MIXED_SIZE_TABLE C++ version Tabulate sparse grid size for various rules, levels, dimensions. SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. Here we report the total number of polynomials of degree DEGREE or less in the given DIM dimensional space. DIM: 1 2 3 4 5 DEGREE 0 1 1 1 1 1 1 2 3 4 5 6 2 3 6 10 15 21 3 4 10 20 35 56 4 5 15 35 70 126 5 6 21 56 126 252 6 7 28 84 210 462 7 8 36 120 330 792 07 March 2011 10:38:47 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. Here we report the total number of polynomials of degree DEGREE or less in the given DIM dimensional space. DIM: 6 7 8 9 10 DEGREE 0 1 1 1 1 1 1 7 8 9 10 11 2 28 36 45 55 66 3 84 120 165 220 286 4 210 330 495 715 1001 5 462 792 1287 2002 3003 07 March 2011 10:38:47 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 1 ALPHA parameter is 0 BETA parameter is 0 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 5 7 9 11 2 5 13 25 41 61 3 9 29 69 137 241 4 17 65 177 401 801 5 33 145 441 1105 2433 6 65 321 1073 2929 6993 7 129 705 2561 7537 19313 07 March 2011 10:38:47 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 1 ALPHA parameter is 0 BETA parameter is 0 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 13 15 17 19 21 2 85 113 145 181 221 3 389 589 849 1177 1581 4 1457 2465 3937 6001 8801 5 4865 9017 15713 26017 41265 07 March 2011 10:38:51 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 1 ALPHA parameter is 0 BETA parameter is 0 DIM: 100 LEVEL_MAX 0 1 1 201 2 20201 07 March 2011 10:38:52 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 3 ALPHA parameter is 0 BETA parameter is 0 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 5 7 9 11 2 7 17 31 49 71 3 15 49 111 209 351 4 31 129 351 769 1471 5 63 321 1023 2561 5503 6 127 769 2815 7937 18943 7 255 1793 7423 23297 61183 07 March 2011 10:38:54 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 3 ALPHA parameter is 0 BETA parameter is 0 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 13 15 17 19 21 2 97 127 161 199 241 3 545 799 1121 1519 2001 4 2561 4159 6401 9439 13441 5 10625 18943 31745 50623 77505 07 March 2011 10:38:58 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 11 ALPHA parameter is 0 BETA parameter is 0 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 5 7 9 11 2 5 13 25 41 61 3 9 29 69 137 241 4 9 49 153 369 761 5 17 81 297 849 2033 6 17 129 545 1777 4833 7 17 161 881 3377 10433 07 March 2011 10:38:59 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 11 ALPHA parameter is 0 BETA parameter is 0 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 13 15 17 19 21 2 85 113 145 181 221 3 389 589 849 1177 1581 4 1409 2409 3873 5929 8721 5 4289 8233 14689 24721 39665 07 March 2011 10:39:02 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 13 ALPHA parameter is 0 BETA parameter is 0 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 5 7 9 11 2 3 9 19 33 51 3 7 17 39 81 151 4 7 33 87 193 391 5 7 33 135 385 903 6 15 65 207 641 1743 7 15 97 399 1217 3343 07 March 2011 10:39:02 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 13 ALPHA parameter is 0 BETA parameter is 0 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 13 15 17 19 21 2 73 99 129 163 201 3 257 407 609 871 1201 4 737 1303 2177 3463 5281 5 1889 3655 6657 11527 19105 07 March 2011 10:39:04 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 16 ALPHA parameter is 0 BETA parameter is 0 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 5 7 9 11 2 7 17 31 49 71 3 15 49 111 209 351 4 15 97 303 705 1391 5 15 161 687 1985 4623 6 31 257 1375 4865 13343 7 31 321 2335 10369 33823 07 March 2011 10:39:06 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 16 ALPHA parameter is 0 BETA parameter is 0 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 13 15 17 19 21 2 97 127 161 199 241 3 545 799 1121 1519 2001 4 2465 4047 6273 9295 13281 5 9377 17263 29569 47887 74145 07 March 2011 10:39:10 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 17 ALPHA parameter is 0 BETA parameter is 0 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 5 7 9 11 2 5 13 25 41 61 3 5 22 59 124 225 4 9 36 115 294 637 5 9 56 207 610 1525 6 9 77 346 1164 3279 7 12 93 517 2034 6466 07 March 2011 10:39:11 AM SPARSE_GRID_MIXED_SIZE_TABULATE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 17 ALPHA parameter is 0 BETA parameter is 0 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 13 15 17 19 21 2 85 113 145 181 221 3 370 567 824 1149 1550 4 1224 2151 3530 5489 8172 5 3356 6683 12294 21217 34752 07 March 2011 10:39:14 AM SPARSE_GRID_MIXED_SIZE_TABLE Normal end of execution. 07 March 2011 10:39:14 AM