int comp_enum ( int n, int k );
void comp_next_grlex ( int kc, int xc[] );
int *comp_random_grlex ( int kc, int rank1, int rank2, int &seed, int &rank );
int comp_rank_grlex ( int kc, int xc[] );
int *comp_unrank_grlex ( int kc, int rank );
int i4_choose ( int n, int k );
int i4_max ( int i1, int i2 );
int i4_min ( int i1, int i2 );
int i4_uniform_ab ( int a, int b, int &seed );
void i4vec_permute ( int n, int p[], int a[] );
void i4vec_print ( int n, int a[], string title );
int *i4vec_sort_heap_index_a ( int n, int a[] );
int i4vec_sum ( int n, int a[] );
int *i4vec_uniform_ab_new ( int n, int a, int b, int &seed );
void lp_coefficients ( int n, int &o, double c[], int f[] );
double *lp_value ( int m, int n, double x[] );
void lp_values ( int &n_data, int &n, double &x, double &fx );
void lpp_to_polynomial ( int m, int l[], int o_max, int &o, double c[], int e[] );
double *lpp_value ( int m, int n, int o[], double x[] );
void mono_next_grlex ( int m, int x[] );
void mono_print ( int m, int f[], string title );
int mono_rank_grlex ( int m, int x[] );
int *mono_unrank_grlex ( int m, int rank );
int mono_upto_enum ( int m, int n );
void mono_upto_next_grlex ( int m, int n, int x[] );
int *mono_upto_random ( int m, int n, int &seed, int &rank );
double *mono_value ( int m, int n, int f[], double x[] );
void perm_check0 ( int n, int p[] );
int *perm_uniform_new ( int n, int &seed );
void polynomial_compress ( int o1, double c1[], int e1[], int &o2, double c2[], 
  int e2[] );
void polynomial_print ( int m, int o, double c[], int e[], string title );
void polynomial_sort ( int o, double c[], int e[] );
double *polynomial_value ( int m, int o, double c[], int e[], int nx, 
  double x[] );
void r8mat_print ( int m, int n, double a[], string title );
void r8mat_print_some ( int m, int n, double a[], int ilo, int jlo, int ihi,
  int jhi, string title );
double *r8mat_uniform_ab_new ( int m, int n, double a, double b, int &seed );
void r8vec_permute ( int n, int p[], double a[] );
void r8vec_print ( int n, double a[], string title );
double *r8vec_uniform_ab_new ( int n, double a, double b, int &seed );
void timestamp ( );