int polygon_grid_count ( int n, int nv ); void polygon_grid_display ( int n, int nv, double v[], int ng, double xg[], string prefix ); double *polygon_grid_points ( int n, int nv, double v[], int ng ); void r8mat_transpose_print ( int m, int n, double a[], string title ); void r8mat_transpose_print_some ( int m, int n, double a[], int ilo, int jlo, int ihi, int jhi, string title ); void r8mat_write ( string output_filename, int m, int n, double table[] ); void timestamp ( );