16 October 2011 02:00:01 PM SGMG_WEIGHT_PRB C++ version SGMG_WEIGHT_TESTS Call SGMG_WEIGHT_TEST with various arguments. All tests will use a point equality tolerance of 0 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 4 Level Weight sum Expected sum Difference 0 4 4 0 1 4 4 0 2 4 4 0 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 4 Level Weight sum Expected sum Difference 0 4 4 0 1 4 4 0 2 4 4 4.44089e-16 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 4 Level Weight sum Expected sum Difference 0 4 4 8.88178e-16 1 4 4 8.88178e-16 2 4 4 3.55271e-15 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 2 Level Weight sum Expected sum Difference 0 2 2 0 1 2 2 0 2 2 2 4.44089e-16 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 2.65868 Level Weight sum Expected sum Difference 0 2.65868 2.65868 4.44089e-16 1 2.65868 2.65868 4.44089e-16 2 2.65868 2.65868 4.44089e-16 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 3.14159 Level Weight sum Expected sum Difference 0 3.14159 3.14159 4.44089e-16 1 3.14159 3.14159 0 2 3.14159 3.14159 4.44089e-15 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 10 4 As a simple test, sum these weights. They should sum to exactly 1.5708 Level Weight sum Expected sum Difference 0 1.5708 1.5708 0 1 1.5708 1.5708 4.44089e-16 2 1.5708 1.5708 4.44089e-16 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 7.08982 Level Weight sum Expected sum Difference 0 7.08982 7.08982 2.66454e-15 1 7.08982 7.08982 8.88178e-16 2 7.08982 7.08982 6.21725e-15 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 11 3 2 11 3 Because this rule includes Golub-Welsch components, we do not try to compute the exact weight sum. Level Weight sum Expected sum Difference 0 7.08982 0 7.08982 1 7.08982 0 7.08982 2 7.08982 0 7.08982 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 6 1 3 6 As a simple test, sum these weights. They should sum to exactly 4 Level Weight sum Expected sum Difference 0 4 4 0 1 4 4 0 2 4 4 0 3 4 4 0 4 4 4 8.88178e-16 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 4 Level Weight sum Expected sum Difference 0 4 4 0 1 4 4 0 2 4 4 0 3 4 4 8.88178e-16 4 4 4 8.88178e-16 SGMG_WEIGHT_TEST Compute the weights of a sparse grid. 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 As a simple test, sum these weights. They should sum to exactly 4 Level Weight sum Expected sum Difference 0 4 4 0 1 4 4 0 2 4 4 0 3 4 4 0 4 4 4 8.88178e-16 SGMG_WEIGHT_PRB Normal end of execution. 16 October 2011 02:00:01 PM