long long int i8_abs ( long long int i );
long long int i8_choose ( long long int n, long long int k );
long long int i8_huge ( );
double i8_huge_normalizer ( );
long long int i8_max ( long long int i1, long long int i2 );
long long int i8_min ( long long int i1, long long int i2 );
long long int i8_power ( long long int i, long long int j );
long long int i8_uniform_ab ( long long int a, long long int b, 
  long long int *seed );
unsigned long long int i8_xor ( unsigned long long int i, 
  unsigned long long int j );
void i8vec_print ( long long int n, long long int a[], char *title );
int r8_nint ( double r );
double r8i8_uniform_ab ( double a, double b, long long int *seed );
double r8i8_uniform_01 ( long long int *seed );
void timestamp ( );