function sparse_grid_composite_test ( ) %*****************************************************************************80 % %% SPARSE_GRID_COMPOSITE_TEST tests SPARSE_GRID_COMPOSITE. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 11 August 2009 % % Author: % % John Burkardt % timestamp ( ); fprintf ( 1, '\n' ); fprintf ( 1, 'SPARSE_GRID_COMPOSITE_TEST\n' ); fprintf ( 1, ' MATLAB version.\n' ); fprintf ( 1, ' Test the SPARSE_GRID_COMPOSITE library.\n' ); % % Count number of points in sparse rule from DIM_MIN to DIM_MAX, LEVEL_MAX_MAX. % sparse_grid_composite_test01 ( 1, 6, 0, 5 ); sparse_grid_composite_test01 ( 6, 10, 0, 4 ); sparse_grid_composite_test01 ( 100, 100, 0, 1 ); % % Compute abstract grid indices of sparse grid points as selected from % product grid for DIMENSION, LEVEL_MAX. % dim_num = 2; level_max = 3; sparse_grid_composite_test02 ( dim_num, level_max ); dim_num = 2; level_max = 4; sparse_grid_composite_test02 ( dim_num, level_max ); dim_num = 3; level_max = 0; sparse_grid_composite_test02 ( dim_num, level_max ); dim_num = 3; level_max = 2; sparse_grid_composite_test02 ( dim_num, level_max ); dim_num = 6; level_max = 2; sparse_grid_composite_test02 ( dim_num, level_max ); % % Compute sparse composite rule for DIMENSION, LEVEL_MAX. % dim_num = 2; level_max = 3; sparse_grid_composite_test03 ( dim_num, level_max ); dim_num = 3; level_max = 0; sparse_grid_composite_test03 ( dim_num, level_max ); dim_num = 3; level_max = 1; sparse_grid_composite_test03 ( dim_num, level_max ); % % Test sum of weights for DIMENSION, LEVEL_MAX. % sparse_grid_composite_test04 ( 2, 4 ); sparse_grid_composite_test04 ( 3, 0 ); sparse_grid_composite_test04 ( 3, 1 ); sparse_grid_composite_test04 ( 3, 6 ); sparse_grid_composite_test04 ( 10, 3 ); % % Test monomial exactness for DIMENSION, LEVEL_MAX, DEGREE_MAX. % sparse_grid_composite_test05 ( 2, 0, 2 ); sparse_grid_composite_test05 ( 2, 1, 2 ); sparse_grid_composite_test05 ( 2, 2, 2 ); sparse_grid_composite_test05 ( 2, 3, 2 ); sparse_grid_composite_test05 ( 2, 4, 2 ); sparse_grid_composite_test05 ( 2, 5, 2 ); sparse_grid_composite_test05 ( 3, 0, 2 ); sparse_grid_composite_test05 ( 3, 1, 2 ); sparse_grid_composite_test05 ( 3, 2, 2 ); sparse_grid_composite_test05 ( 3, 3, 2 ); % % Show how to write a rule to a file. % dim_num = 2; level_max = 3; sparse_grid_composite_test06 ( dim_num, level_max ); % % All done. % fprintf ( 1, '\n' ); fprintf ( 1, 'SPARSE_GRID_COMPOSITE_TEST\n' ); fprintf ( 1, ' Normal end of execution.\n' ); fprintf ( 1, '\n' ); timestamp ( ); return end