#! /usr/bin/env python # def simplex_grid_index_sample ( m, n, ng, seed ): #*****************************************************************************80 # ## SIMPLEX_GRID_INDEX_SAMPLE returns a random simplex grid index. # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 22 April 2015 # # Author: # # John Burkardt # # Parameters: # # Input, integer M, the spatial dimension. # # Input, integer N, the number of subintervals in each dimension. # # Input, ingeger L, the number of indices to return. # # Input, integer SEED, a seed for the random number generator. # # Output, integer G(NG,M+1), randomly selected indices in the simplex grid. # # Output, integer SEED, the updated random number seed. # import numpy as np from comp_random import comp_random g = np.zeros ( ( ng, m + 1 ) ) for i in range ( 0, ng ): grow, seed = comp_random ( n, m + 1, seed ) for j in range ( 0, m + 1 ): g[i,j] = grow[j] return g, seed def simplex_grid_index_sample_test ( ): #*****************************************************************************80 # ## SIMPLEX_GRID_INDEX_SAMPLE_TEST tests SIMPLEX_GRID_INDEX_SAMPLE. # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 22 April 2015 # # Author: # # John Burkardt # import platform print ( '' ) print ( 'SIMPLEX_GRID_INDEX_SAMPLE_TEST:' ) print ( ' Python version: %s' % ( platform.python_version ( ) ) ) print ( ' SIMPLEX_GRID_INDEX_SAMPLE returns a randomly selected' ) print ( ' index of a simplex grid that uses N+1 points on a side,' ) print ( ' in an M-dimensional simplex.' ) print ( '' ) print ( ' #: 1 2 3 (*)' ) print ( '' ) m = 3 n = 3 ng = 20 seed = 123456789 g, seed = simplex_grid_index_sample ( m, n, ng, seed ) for i in range ( 0, ng ): print ( ' %2d:' % ( i ) ), for j in range ( 0, m ): print ( ' %2d' % ( g[i,j] ) ), print ( ' (%2d)' % ( g[i,m] ) ) # # Terminate. # print ( '' ) print ( 'SIMPLEX_GRID_INDEX_SAMPLE_TEST:' ) print ( ' Normal end of execution.' ) return if ( __name__ == '__main__' ): from timestamp import timestamp timestamp ( ) simplex_grid_index_sample_test ( ) timestamp ( )