double cpu_time ( ); int i4_max ( int i1, int i2 ); int i4_min ( int i1, int i2 ); int i4_uniform ( int a, int b, int *seed ); void i4vec_print ( int n, int a[], string title ); int point_radial_unique_count ( int m, int n, double a[], int *seed ); int point_radial_tol_unique_count ( int m, int n, double a[], double tol, int *seed ); int point_radial_tol_unique_index ( int m, int n, double a[], double tol, int *seed, int undx[], int xdnu[] ); int point_tol_unique_count ( int m, int n, double a[], double tol ); int point_tol_unique_index ( int m, int n, double a[], double tol, int xdnu[] ); int point_unique_count ( int m, int n, double a[] ); void point_unique_index ( int m, int n, double a[], int unique_num, int undx[], int xdnu[] ); int r4_nint ( float x ); double r8_abs ( double x ); double r8_max ( double x, double y ); double *r8col_duplicates ( int m, int n, int n_unique, int *seed ); int *r8col_sort_heap_index_a ( int m, int n, double a[] ); 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_uniform_01 ( int m, int n, int *seed, double r[] ); int r8vec_compare ( int n, double a[], double b[] ); double r8vec_norm_l2 ( int n, double a[] ); void r8vec_print ( int n, double a[], string title ); int *r8vec_sort_heap_index_a ( int n, double a[] ); double r8vec_sum ( int n, double a[] ); void r8vec_uniform_01 ( int n, int *seed, double r[] ); double *r8vec_uniform_01_new ( int n, int *seed ); void timestamp ( );