void chebyshev1_exactness ( int n, double x[], double w[], int p_max );
double chebyshev1_integral ( int p );
void chebyshev2_exactness ( int n, double x[], double w[], int p_max );
double chebyshev2_integral ( int p );
void gegenbauer_exactness ( int n, double x[], double w[], int p_max, double lambda );
double gegenbauer_integral ( int p, double lambda );
void hermite_exactness ( int n, double x[], double w[], int p_max );
double hermite_integral ( int p );
void laguerre_exactness ( int n, double x[], double w[], int p_max );
double laguerre_integral ( int p );
void legendre_exactness ( int n, double x[], double w[], int p_max );
double legendre_integral ( int p );
double r8_factorial ( int n );
double r8_factorial2 ( int n );
double *r8vec_copy_new ( int n, double a1[] );
double r8vec_dot_product ( int n, double a1[], double a2[] );
void timestamp ( );