double *fd1d_bvp  ( int n, double a ( double x ),
  double aprime ( double x ), double c ( double x ), double f ( double x ),
  double x[] );
double *r83np_fs ( int n, double a[], double b[] );
void r8mat_write ( char *output_filename, int m, int n, double table[] );
double *r8vec_even ( int n, double alo, double ahi );
void timestamp ( );