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