16 October 2011 10:49:33.722 AM SGMGA_POINT_PRB: FORTRAN90 version Test the SGMGA_POINT function. SGMGA_POINT_TESTS Call SGMGA_POINT_TEST with various arguments. All tests will use a point equality tolerance of 0.149012E-07 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 1.00000 LEVEL_WEIGHT: 1.00000 1.00000 Dimension Rule Growth Parameters 1 1 6 2 1 6 For LEVEL_MAX = 0 1 0.00000 0.00000 For LEVEL_MAX = 1 1 -1.00000 0.00000 2 0.00000 -1.00000 3 0.00000 0.00000 4 0.00000 1.00000 5 1.00000 0.00000 For LEVEL_MAX = 2 1 -1.00000 -1.00000 2 -1.00000 0.00000 3 -1.00000 1.00000 4 -.707107 0.00000 5 0.00000 -1.00000 6 0.00000 -.707107 7 0.00000 0.00000 8 0.00000 0.707107 9 0.00000 1.00000 10 0.707107 0.00000 11 1.00000 -1.00000 12 1.00000 0.00000 13 1.00000 1.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 1 6 2 1 6 For LEVEL_MAX = 0 1 0.00000 0.00000 For LEVEL_MAX = 1 1 0.00000 -1.00000 2 0.00000 0.00000 3 0.00000 1.00000 For LEVEL_MAX = 2 1 -1.00000 0.00000 2 0.00000 -1.00000 3 0.00000 -.707107 4 0.00000 0.00000 5 0.00000 0.707107 6 0.00000 1.00000 7 1.00000 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 1.00000 1.00000 LEVEL_WEIGHT: 1.00000 1.00000 1.00000 Dimension Rule Growth Parameters 1 1 6 2 1 6 3 1 6 For LEVEL_MAX = 0 1 0.00000 0.00000 0.00000 For LEVEL_MAX = 1 1 -1.00000 0.00000 0.00000 2 0.00000 -1.00000 0.00000 3 0.00000 0.00000 -1.00000 4 0.00000 0.00000 0.00000 5 0.00000 0.00000 1.00000 6 0.00000 1.00000 0.00000 7 1.00000 0.00000 0.00000 For LEVEL_MAX = 2 1 -1.00000 -1.00000 0.00000 2 -1.00000 0.00000 -1.00000 3 -1.00000 0.00000 0.00000 4 -1.00000 0.00000 1.00000 5 -1.00000 1.00000 0.00000 6 -.707107 0.00000 0.00000 7 0.00000 -1.00000 -1.00000 8 0.00000 -1.00000 0.00000 9 0.00000 -1.00000 1.00000 10 0.00000 -.707107 0.00000 11 0.00000 0.00000 -1.00000 12 0.00000 0.00000 -.707107 13 0.00000 0.00000 0.00000 14 0.00000 0.00000 0.707107 15 0.00000 0.00000 1.00000 16 0.00000 0.707107 0.00000 17 0.00000 1.00000 -1.00000 18 0.00000 1.00000 0.00000 19 0.00000 1.00000 1.00000 20 0.707107 0.00000 0.00000 21 1.00000 -1.00000 0.00000 22 1.00000 0.00000 -1.00000 23 1.00000 0.00000 0.00000 24 1.00000 0.00000 1.00000 25 1.00000 1.00000 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 3.00000 LEVEL_WEIGHT: 1.00000 0.500000 0.333333 Dimension Rule Growth Parameters 1 1 6 2 1 6 3 1 6 For LEVEL_MAX = 0 1 0.00000 0.00000 0.00000 For LEVEL_MAX = 1 1 0.00000 0.00000 -1.00000 2 0.00000 0.00000 0.00000 3 0.00000 0.00000 1.00000 For LEVEL_MAX = 2 1 0.00000 -1.00000 0.00000 2 0.00000 0.00000 -1.00000 3 0.00000 0.00000 -.707107 4 0.00000 0.00000 0.00000 5 0.00000 0.00000 0.707107 6 0.00000 0.00000 1.00000 7 0.00000 1.00000 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 1 6 2 3 6 For LEVEL_MAX = 0 1 0.00000 0.00000 For LEVEL_MAX = 1 1 0.00000 -.774597 2 0.00000 0.00000 3 0.00000 0.774597 For LEVEL_MAX = 2 1 -1.00000 0.00000 2 0.00000 -.960491 3 0.00000 -.774597 4 0.00000 -.434244 5 0.00000 0.00000 6 0.00000 0.434244 7 0.00000 0.774597 8 0.00000 0.960491 9 1.00000 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 1 6 2 4 3 For LEVEL_MAX = 0 1 0.00000 0.00000 For LEVEL_MAX = 1 1 0.00000 -.774597 2 0.00000 0.199493E-16 3 0.00000 0.774597 For LEVEL_MAX = 2 1 -1.00000 0.00000 2 0.00000 -.906180 3 0.00000 -.538469 4 0.00000 -.108185E-15 5 0.00000 0.538469 6 0.00000 0.906180 7 1.00000 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 1 6 2 7 3 For LEVEL_MAX = 0 1 0.00000 1.00000 For LEVEL_MAX = 1 1 0.00000 0.415775 2 0.00000 2.29428 3 0.00000 6.28995 For LEVEL_MAX = 2 1 -1.00000 1.00000 2 0.00000 0.263560 3 0.00000 1.00000 4 0.00000 1.41340 5 0.00000 3.59643 6 0.00000 7.08581 7 0.00000 12.6408 8 1.00000 1.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 1 6 2 8 3 1.50000 For LEVEL_MAX = 0 1 0.00000 2.50000 For LEVEL_MAX = 1 1 0.00000 1.22040 2 0.00000 3.80888 3 0.00000 8.47072 For LEVEL_MAX = 2 1 -1.00000 2.50000 2 0.00000 0.817632 3 0.00000 2.47233 4 0.00000 2.50000 5 0.00000 5.11601 6 0.00000 9.04415 7 0.00000 15.0499 8 1.00000 2.50000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 2 6 2 9 3 0.500000 1.50000 For LEVEL_MAX = 0 1 0.00000 0.250000 For LEVEL_MAX = 1 1 0.00000 -.537986 2 0.00000 0.152829 3 0.00000 0.760157 For LEVEL_MAX = 2 1 -.707107 0.250000 2 0.00000 -.769541 3 0.00000 -.370814 4 0.00000 0.110027 5 0.00000 0.250000 6 0.00000 0.562906 7 0.00000 0.884088 8 0.707107 0.250000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 LEVEL_WEIGHT: 1.00000 0.500000 Dimension Rule Growth Parameters 1 6 3 2.00000 2 10 4 For LEVEL_MAX = 0 1 0.00000 0.00000 For LEVEL_MAX = 1 1 0.00000 -1.22474 2 0.00000 0.00000 3 0.00000 1.22474 For LEVEL_MAX = 2 1 -1.58114 0.00000 2 0.00000 -1.22474 3 0.00000 0.00000 4 0.00000 1.22474 5 1.58114 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 2.00000 3.00000 LEVEL_WEIGHT: 1.00000 0.500000 0.333333 Dimension Rule Growth Parameters 1 1 6 2 4 3 3 5 3 For LEVEL_MAX = 0 1 0.00000 0.00000 0.00000 For LEVEL_MAX = 1 1 0.00000 0.00000 -1.22474 2 0.00000 0.00000 -.986284E-16 3 0.00000 0.00000 1.22474 For LEVEL_MAX = 2 1 0.00000 -.774597 0.00000 2 0.00000 0.00000 -2.02018 3 0.00000 0.00000 -.958572 4 0.00000 0.00000 0.240258E-15 5 0.00000 0.00000 0.958572 6 0.00000 0.00000 2.02018 7 0.00000 0.774597 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 2.00000 1.00000 LEVEL_WEIGHT: 0.500000 1.00000 Dimension Rule Growth Parameters 1 5 3 2 5 3 For LEVEL_MAX = 0 1 0.00000 0.00000 For LEVEL_MAX = 1 1 -1.22474 0.00000 2 -.986284E-16 0.00000 3 1.22474 0.00000 For LEVEL_MAX = 2 1 -2.02018 0.00000 2 -.958572 0.00000 3 0.00000 -1.22474 4 0.00000 -.986284E-16 5 0.00000 1.22474 6 0.958572 0.00000 7 2.02018 0.00000 For LEVEL_MAX = 3 1 -2.65196 0.00000 2 -1.67355 0.00000 3 -1.22474 -1.22474 4 -1.22474 -.986284E-16 5 -1.22474 1.22474 6 -.816288 0.00000 7 -.986284E-16-1.22474 8 -.986284E-16-.986284E-16 9 -.986284E-16 1.22474 10 0.816288 0.00000 11 1.22474 -1.22474 12 1.22474 -.986284E-16 13 1.22474 1.22474 14 1.67355 0.00000 15 2.65196 0.00000 For LEVEL_MAX = 4 1 -3.19099 0.00000 2 -2.26658 0.00000 3 -2.02018 -1.22474 4 -2.02018 -.986284E-16 5 -2.02018 1.22474 6 -1.46855 0.00000 7 -.958572 -1.22474 8 -.958572 -.986284E-16 9 -.958572 1.22474 10 -.723551 0.00000 11 0.00000 -2.02018 12 0.00000 -.958572 13 0.00000 0.958572 14 0.00000 2.02018 15 0.240258E-15-1.22474 16 0.00000 0.240258E-15 17 0.240258E-15 1.22474 18 0.723551 0.00000 19 0.958572 -1.22474 20 0.958572 -.986284E-16 21 0.958572 1.22474 22 1.46855 0.00000 23 2.02018 -1.22474 24 2.02018 -.986284E-16 25 2.02018 1.22474 26 2.26658 0.00000 27 3.19099 0.00000 For LEVEL_MAX = 5 1 -3.66847 0.00000 2 -2.78329 0.00000 3 -2.65196 -1.22474 4 -2.65196 -.986284E-16 5 -2.65196 1.22474 6 -2.02595 0.00000 7 -1.67355 -1.22474 8 -1.67355 -.986284E-16 9 -1.67355 1.22474 10 -1.32656 0.00000 11 -1.22474 -2.02018 12 -1.22474 -1.22474 13 -1.22474 -.958572 14 -1.22474 0.240258E-15 15 -1.22474 0.958572 16 -1.22474 1.22474 17 -1.22474 2.02018 18 -.816288 -1.22474 19 -.816288 -.986284E-16 20 -.816288 1.22474 21 -.656810 0.00000 22 -.105979E-15-1.22474 23 -.105979E-15 1.22474 24 -.986284E-16-2.02018 25 -.986284E-16-.958572 26 -.986284E-160.240258E-15 27 -.986284E-160.958572 28 -.986284E-16 2.02018 29 0.656810 0.00000 30 0.816288 -1.22474 31 0.816288 -.986284E-16 32 0.816288 1.22474 33 1.22474 -2.02018 34 1.22474 -1.22474 35 1.22474 -.958572 36 1.22474 0.240258E-15 37 1.22474 0.958572 38 1.22474 1.22474 39 1.22474 2.02018 40 1.32656 0.00000 41 1.67355 -1.22474 42 1.67355 -.986284E-16 43 1.67355 1.22474 44 2.02595 0.00000 45 2.65196 -1.22474 46 2.65196 -.986284E-16 47 2.65196 1.22474 48 2.78329 0.00000 49 3.66847 0.00000 SGMGA_POINT_TEST SGMGA_POINT returns an array of the points forming 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. IMPORTANCE: 1.00000 0.00000 1.00000 LEVEL_WEIGHT: 1.00000 0.00000 1.00000 Dimension Rule Growth Parameters 1 1 6 2 1 6 3 1 6 For LEVEL_MAX = 0 1 0.00000 0.00000 0.00000 For LEVEL_MAX = 1 1 -1.00000 0.00000 0.00000 2 0.00000 0.00000 -1.00000 3 0.00000 0.00000 0.00000 4 0.00000 0.00000 1.00000 5 1.00000 0.00000 0.00000 For LEVEL_MAX = 2 1 -1.00000 0.00000 -1.00000 2 -1.00000 0.00000 0.00000 3 -1.00000 0.00000 1.00000 4 -.707107 0.00000 0.00000 5 0.00000 0.00000 -1.00000 6 0.00000 0.00000 -.707107 7 0.00000 0.00000 0.00000 8 0.00000 0.00000 0.707107 9 0.00000 0.00000 1.00000 10 0.707107 0.00000 0.00000 11 1.00000 0.00000 -1.00000 12 1.00000 0.00000 0.00000 13 1.00000 0.00000 1.00000 For LEVEL_MAX = 3 1 -1.00000 0.00000 -1.00000 2 -1.00000 0.00000 -.707107 3 -1.00000 0.00000 0.00000 4 -1.00000 0.00000 0.707107 5 -1.00000 0.00000 1.00000 6 -.923880 0.00000 0.00000 7 -.707107 0.00000 -1.00000 8 -.707107 0.00000 0.00000 9 -.707107 0.00000 1.00000 10 -.382683 0.00000 0.00000 11 0.00000 0.00000 -1.00000 12 0.00000 0.00000 -.923880 13 0.00000 0.00000 -.707107 14 0.00000 0.00000 -.382683 15 0.00000 0.00000 0.00000 16 0.00000 0.00000 0.382683 17 0.00000 0.00000 0.707107 18 0.00000 0.00000 0.923880 19 0.00000 0.00000 1.00000 20 0.382683 0.00000 0.00000 21 0.707107 0.00000 -1.00000 22 0.707107 0.00000 0.00000 23 0.707107 0.00000 1.00000 24 0.923880 0.00000 0.00000 25 1.00000 0.00000 -1.00000 26 1.00000 0.00000 -.707107 27 1.00000 0.00000 0.00000 28 1.00000 0.00000 0.707107 29 1.00000 0.00000 1.00000 SGMGA_POINT_PRB: Normal end of execution. 16 October 2011 10:49:33.727 AM