Example #1
0
/// Elliptic integrals of the first kind.
double
ellint_1(double k, double phi)
{
  const gsl_mode_t mode = GSL_PREC_DOUBLE;
  gsl_sf_result result;
  int stat = gsl_sf_ellint_F_e(phi, k, mode, &result);
  if (stat != GSL_SUCCESS)
    {
      std::ostringstream msg("Error in ellint_1:");
      msg << " k=" << k << " phi=" << phi;
      throw std::runtime_error(msg.str());
    }
  else
    return result.val;
}
Example #2
0
double gsl_sf_ellint_F(double phi, double k, gsl_mode_t mode)
{
  EVAL_RESULT(gsl_sf_ellint_F_e(phi, k, mode, &result));
}
Example #3
0
      /**
       * C++ version of gsl_sf_ellint_F_e().
       * F(phi,k)   = Integral[1/Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]
       * @param phi A real number
       * @param k A real number
       * @param mode The mode
       * @param result The result as a @c gsl::sf::result object
       * @return Error code on failure
       */
      inline int F_e( double phi, double k, mode_t mode, result& result ){
	return gsl_sf_ellint_F_e( phi, k, mode, &result ); }