/*
  C8VEC utilities.
*/
void c8vec_print ( int n, double complex a[], char *title );
void c8vec_sort_a_l2 ( int n, double complex x[] );
double complex *c8vec_unity ( int n );
/*
  I4 utilities.
*/
int i4_log_10 ( int i );
int i4_max ( int i1, int i2 );
int i4_min ( int i1, int i2 );
int i4_modp ( int i, int j );
int i4_power ( int i, int j );
/*
  R8 Utilities.
*/
double r8_uniform_01 ( int *seed );
/*
  Real double precision Circulant.
*/
double r8ci_det ( int n, double a[] );
double *r8ci_dif2 ( int n );
double complex *r8ci_eval ( int n, double a[] );
double *r8ci_indicator ( int n );
double *r8ci_mtv ( int n, double a[], double x[] );
double *r8ci_mv ( int n, double a[], double x[] );
void r8ci_print ( int n, double a[], char *title );
void r8ci_print_some ( int n, double a[], int ilo, int jlo, int ihi, 
  int jhi, char *title );
double *r8ci_random ( int n, int *seed );
double *r8ci_sl ( int n, double a[], double b[], int job );
double *r8ci_to_r8ge ( int n, double a[] );
double *r8ci_zeros ( int n );
/*
  Real double precision General.
*/
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 );
/*
  R8VEC Utilities.
*/
double *r8vec_indicator1_new ( int n );
void r8vec_print ( int n, double a[], char *title );
double *r8vec_zeros_new ( int n );
/*
  Utility routine for external heap sort.
*/
void sort_heap_external ( int n, int *indx, int *i, int *j, int isgn );