int i4_log_10 ( int i );
int i4_max ( int i1, int i2 );
int i4_min ( int i1, int i2 );
void r8ge_print ( int m, int n, double a[], char *title );
void r8ge_print_some ( int m, int n, double a[], int ilo, int jlo, int ihi, 
  int jhi, char *title );
double *r8ge_to_r8utp ( int m, int n, double a_ge[] );
double r8utp_det ( int m, int n, double a[] );
double *r8utp_indicator ( int m, int n );
void r8utp_print ( int m, int n, double a[], char *title );
void r8utp_print_some ( int m, int n, double a[], int ilo, int jlo, int ihi, 
  int jhi, char *title );
double *r8utp_random ( int m, int n );
int r8utp_size ( int m, int n );
double *r8utp_to_r8ge ( int m, int n, double a_utp[] );
double *r8utp_zeros ( int m, int n );