function sparse_grid_compute_test ( rule, dim_num, level_max ) %*****************************************************************************80 % %% SPARSE_GRID_COMPUTE_TEST computes and prints a sparse grid rule. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 31 March 2008 % % Author: % % John Burkardt % % Parameters: % % Input, integer RULE, the index of the rule. % 1, "CC", Clenshaw Curtis Closed Fully Nested rule. % 2, "F1", Fejer 1 Open Fully Nested rule. % 3, "F2", Fejer 2 Open Fully Nested rule. % 4, "GP", Gauss Patterson Open Fully Nested rule. % 5, "GL", Gauss Legendre Open Weakly Nested rule. % 6, "GH", Gauss Hermite Open Weakly Nested rule. % 7, "LG", Gauss Laguerre Open Non Nested rule. % % Input, integer DIM_NUM, the spatial dimension. % % Input, integer LEVEL_MAX, the level. % level_min = max ( 0, level_max + 1 - dim_num ); fprintf ( 1, '\n' ); fprintf ( 1, 'SPARSE_GRID_COMPUTE_TEST:\n' ); fprintf ( 1, ' SPARSE_GRID can make a sparse grid.\n' ); fprintf ( 1, '\n' ); fprintf ( 1, ' Spatial dimension DIM_NUM = %d\n', dim_num ); fprintf ( 1, ' LEVEL_MIN = %d\n', level_min ); fprintf ( 1, ' LEVEL_MAX = %d\n', level_max ); fprintf ( 1, ' 1D quadrature index RULE = %d\n', rule ); % % Determine the number of points. % point_num = levels_index_size ( dim_num, level_max, rule ); fprintf ( 1, ' Unique points in the grid = %d\n', point_num ); % % Compute the weights and points. % [ grid_weight, grid_point ] = sparse_grid ( dim_num, level_max, ... rule, point_num ); % % Print them out. % fprintf ( 1, '\n' ); fprintf ( 1, ' Grid weights:\n' ); fprintf ( 1, '\n' ); for point = 1 : point_num fprintf ( 1, ' %4d %14.6e\n', point, grid_weight(point) ); end fprintf ( 1, '\n' ); fprintf ( 1, ' Grid points:\n' ); fprintf ( 1, '\n' ); for point = 1 : point_num fprintf ( 1, ' %4d ', point ); for dim = 1 : dim_num fprintf ( 1, '%14.6e', grid_point(dim,point) ); end fprintf ( 1, '\n' ); end return end