29 July 2010 10:28:44 AM SGMG_INDEX_PRB C++ version SGMG_INDEX_TESTS Call SGMG_INDEX_TEST with various arguments. All tests will use a point equality tolerance of 0 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 1 6 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 1 / 1 2 / 3 3 1 / 1 3 / 3 4 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 1 / 3 2 / 3 2 1 / 3 3 / 3 3 2 / 5 1 / 1 4 1 / 1 1 / 5 5 1 / 1 2 / 5 6 1 / 1 3 / 5 7 1 / 1 4 / 5 8 1 / 1 5 / 5 9 4 / 5 1 / 1 10 3 / 3 1 / 3 11 3 / 3 2 / 3 12 3 / 3 3 / 3 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 3 6 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 1 / 1 2 / 3 3 1 / 1 3 / 3 4 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 1 / 3 2 / 3 2 1 / 3 3 / 3 3 2 / 5 1 / 1 4 1 / 1 1 / 7 5 1 / 1 2 / 7 6 1 / 1 3 / 7 7 1 / 1 4 / 7 8 1 / 1 5 / 7 9 1 / 1 6 / 7 10 1 / 1 7 / 7 11 4 / 5 1 / 1 12 3 / 3 1 / 3 13 3 / 3 2 / 3 14 3 / 3 3 / 3 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 4 3 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 1 / 1 2 / 3 3 1 / 1 3 / 3 4 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 1 / 3 2 / 3 2 1 / 3 3 / 3 3 2 / 5 1 / 1 4 1 / 1 1 / 5 5 2 / 3 1 / 3 6 1 / 1 2 / 5 7 1 / 1 3 / 5 8 1 / 1 4 / 5 9 2 / 3 3 / 3 10 1 / 1 5 / 5 11 4 / 5 1 / 1 12 3 / 3 1 / 3 13 3 / 3 2 / 3 14 3 / 3 3 / 3 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 7 3 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 2 / 3 1 / 1 3 1 / 1 2 / 3 4 1 / 1 3 / 3 5 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 1 / 5 1 / 1 2 1 / 3 2 / 3 3 1 / 3 3 / 3 4 2 / 5 1 / 1 5 1 / 1 1 / 5 6 2 / 3 1 / 3 7 3 / 5 1 / 1 8 1 / 1 2 / 5 9 2 / 3 2 / 3 10 1 / 1 3 / 5 11 2 / 3 3 / 3 12 1 / 1 4 / 5 13 1 / 1 5 / 5 14 4 / 5 1 / 1 15 3 / 3 1 / 3 16 5 / 5 1 / 1 17 3 / 3 2 / 3 18 3 / 3 3 / 3 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 8 3 1.5 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 2 / 3 1 / 1 3 1 / 1 2 / 3 4 1 / 1 3 / 3 5 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 1 / 5 1 / 1 2 1 / 3 2 / 3 3 1 / 3 3 / 3 4 2 / 5 1 / 1 5 1 / 1 1 / 5 6 2 / 3 1 / 3 7 1 / 1 2 / 5 8 3 / 5 1 / 1 9 2 / 3 2 / 3 10 1 / 1 3 / 5 11 2 / 3 3 / 3 12 1 / 1 4 / 5 13 1 / 1 5 / 5 14 4 / 5 1 / 1 15 3 / 3 1 / 3 16 5 / 5 1 / 1 17 3 / 3 2 / 3 18 3 / 3 3 / 3 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 2 6 1 9 3 0.5 1.5 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 1 / 1 2 / 3 3 2 / 3 1 / 1 4 1 / 1 3 / 3 5 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 7 1 / 1 1 1 / 3 1 / 3 2 1 / 3 2 / 3 3 2 / 7 1 / 1 4 1 / 3 3 / 3 5 3 / 7 1 / 1 6 1 / 1 1 / 5 7 2 / 3 1 / 3 8 1 / 1 2 / 5 9 1 / 1 3 / 5 10 2 / 3 2 / 3 11 4 / 7 1 / 1 12 1 / 1 4 / 5 13 2 / 3 3 / 3 14 1 / 1 5 / 5 15 5 / 7 1 / 1 16 3 / 3 1 / 3 17 3 / 3 2 / 3 18 6 / 7 1 / 1 19 3 / 3 3 / 3 20 7 / 7 1 / 1 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 6 3 2 1 11 4 For LEVEL_MAX = 0 0 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 1 / 1 1 / 3 2 1 / 1 2 / 3 3 1 / 1 3 / 3 4 3 / 3 1 / 1 For LEVEL_MAX = 2 0 1 / 5 1 / 1 1 1 / 3 1 / 3 2 1 / 3 2 / 3 3 1 / 3 3 / 3 4 2 / 5 1 / 1 5 1 / 1 1 / 3 6 1 / 1 2 / 3 7 1 / 1 3 / 3 8 4 / 5 1 / 1 9 3 / 3 1 / 3 10 3 / 3 2 / 3 11 3 / 3 3 / 3 12 5 / 5 1 / 1 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 4 3 2 5 3 For LEVEL_MAX = 0 0 1 / 1 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 / 1 1 1 / 1 1 / 3 1 / 1 2 1 / 1 1 / 1 1 / 3 3 1 / 1 1 / 1 2 / 3 4 1 / 1 1 / 1 3 / 3 5 1 / 1 3 / 3 1 / 1 6 3 / 3 1 / 1 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 / 1 1 1 / 3 1 / 1 1 / 3 2 1 / 3 1 / 1 2 / 3 3 1 / 3 1 / 1 3 / 3 4 1 / 3 3 / 3 1 / 1 5 2 / 5 1 / 1 1 / 1 6 1 / 1 1 / 5 1 / 1 7 1 / 1 1 / 3 1 / 3 8 1 / 1 1 / 3 2 / 3 9 1 / 1 1 / 3 3 / 3 10 1 / 1 2 / 5 1 / 1 11 1 / 1 1 / 1 1 / 5 12 1 / 1 2 / 3 1 / 3 13 1 / 1 1 / 1 2 / 5 14 1 / 1 1 / 1 3 / 5 15 1 / 1 1 / 1 4 / 5 16 1 / 1 2 / 3 3 / 3 17 1 / 1 1 / 1 5 / 5 18 1 / 1 4 / 5 1 / 1 19 1 / 1 3 / 3 1 / 3 20 1 / 1 3 / 3 2 / 3 21 1 / 1 3 / 3 3 / 3 22 1 / 1 5 / 5 1 / 1 23 4 / 5 1 / 1 1 / 1 24 3 / 3 1 / 3 1 / 1 25 3 / 3 1 / 1 1 / 3 26 3 / 3 1 / 1 2 / 3 27 3 / 3 1 / 1 3 / 3 28 3 / 3 3 / 3 1 / 1 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 1 6 1 10 3 2 10 3 For LEVEL_MAX = 0 0 1 / 1 1 / 1 1 / 1 For LEVEL_MAX = 1 0 1 / 3 1 / 1 1 / 1 1 1 / 1 1 / 3 1 / 1 2 1 / 1 1 / 1 1 / 3 3 1 / 1 1 / 1 2 / 3 4 1 / 1 1 / 1 3 / 3 5 1 / 1 3 / 3 1 / 1 6 3 / 3 1 / 1 1 / 1 For LEVEL_MAX = 2 0 1 / 3 1 / 3 1 / 1 1 1 / 3 1 / 1 1 / 3 2 1 / 3 1 / 1 2 / 3 3 1 / 3 1 / 1 3 / 3 4 1 / 3 3 / 3 1 / 1 5 2 / 5 1 / 1 1 / 1 6 1 / 1 1 / 5 1 / 1 7 1 / 1 1 / 3 1 / 3 8 1 / 1 1 / 3 2 / 3 9 1 / 1 1 / 3 3 / 3 10 1 / 1 2 / 5 1 / 1 11 1 / 1 1 / 1 1 / 5 12 1 / 1 2 / 3 1 / 3 13 1 / 1 1 / 1 2 / 5 14 1 / 1 1 / 1 3 / 5 15 1 / 1 1 / 1 4 / 5 16 1 / 1 2 / 3 3 / 3 17 1 / 1 1 / 1 5 / 5 18 1 / 1 4 / 5 1 / 1 19 1 / 1 3 / 3 1 / 3 20 1 / 1 3 / 3 2 / 3 21 1 / 1 3 / 3 3 / 3 22 1 / 1 5 / 5 1 / 1 23 4 / 5 1 / 1 1 / 1 24 3 / 3 1 / 3 1 / 1 25 3 / 3 1 / 1 1 / 3 26 3 / 3 1 / 1 2 / 3 27 3 / 3 1 / 1 3 / 3 28 3 / 3 3 / 3 1 / 1 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 3 4 1 3 4 For LEVEL_MAX = 3 0 1 / 7 1 / 1 1 1 / 3 1 / 3 2 1 / 3 2 / 3 3 1 / 3 3 / 3 4 3 / 7 1 / 1 5 1 / 1 1 / 7 6 1 / 1 2 / 7 7 1 / 1 3 / 7 8 1 / 1 4 / 7 9 1 / 1 5 / 7 10 1 / 1 6 / 7 11 1 / 1 7 / 7 12 5 / 7 1 / 1 13 3 / 3 1 / 3 14 3 / 3 2 / 3 15 3 / 3 3 / 3 16 7 / 7 1 / 1 SGMG_INDEX_TEST SGMG_INDEX returns index and order vectors that identify each point in a multidimensional sparse grid with mixed factors. Each sparse grid is of spatial dimension DIM_NUM, and is made up of product grids of levels up to LEVEL_MAX. Dimension Rule Growth rate Parameters 0 3 5 1 3 5 For LEVEL_MAX = 3 0 1 / 15 1 / 1 1 1 / 7 1 / 3 2 1 / 7 2 / 3 3 1 / 7 3 / 3 4 3 / 15 1 / 1 5 1 / 3 1 / 7 6 1 / 3 2 / 7 7 1 / 3 3 / 7 8 1 / 3 4 / 7 9 1 / 3 5 / 7 10 1 / 3 6 / 7 11 1 / 3 7 / 7 12 5 / 15 1 / 1 13 3 / 7 1 / 3 14 3 / 7 2 / 3 15 3 / 7 3 / 3 16 7 / 15 1 / 1 17 1 / 1 1 / 15 18 1 / 1 2 / 15 19 1 / 1 3 / 15 20 1 / 1 4 / 15 21 1 / 1 5 / 15 22 1 / 1 6 / 15 23 1 / 1 7 / 15 24 1 / 1 8 / 15 25 1 / 1 9 / 15 26 1 / 1 10 / 15 27 1 / 1 11 / 15 28 1 / 1 12 / 15 29 1 / 1 13 / 15 30 1 / 1 14 / 15 31 1 / 1 15 / 15 32 9 / 15 1 / 1 33 5 / 7 1 / 3 34 5 / 7 2 / 3 35 5 / 7 3 / 3 36 11 / 15 1 / 1 37 3 / 3 1 / 7 38 3 / 3 2 / 7 39 3 / 3 3 / 7 40 3 / 3 4 / 7 41 3 / 3 5 / 7 42 3 / 3 6 / 7 43 3 / 3 7 / 7 44 13 / 15 1 / 1 45 7 / 7 1 / 3 46 7 / 7 2 / 3 47 7 / 7 3 / 3 48 15 / 15 1 / 1 SGMG_INDEX_PRB Normal end of execution. 29 July 2010 10:28:44 AM