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// Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt
// or copy at http://www.boost.org/LICENSE_1_0.txt)
#include <boost/math/tools/test_data.hpp>
#include <boost/test/included/prg_exec_monitor.hpp>
#include <boost/math/special_functions/ellint_1.hpp>
#include <boost/math/special_functions/jacobi_zeta.hpp>
#include <fstream>
#include <boost/math/tools/test_data.hpp>
#include "mp_t.hpp"

using namespace boost::math::tools;
using namespace boost::math;
using namespace std;

mp_t heuman_lambda(mp_t phi, mp_t k)
{
   mp_t kp = sqrt(1 - k *k);
   if((k * k < tools::epsilon<float>()) && (fabs(phi) >= constants::half_pi<mp_t>()))
      throw std::domain_error("");
   return ellint_1(kp, phi) / ellint_1(kp) + ellint_1(k) * jacobi_zeta(kp, phi) / constants::half_pi<mp_t>();
}

int cpp_main(int argc, char*argv [])
{
   using namespace boost::math::tools;

   parameter_info<mp_t> arg1, arg2;
   test_data<mp_t> data;

   bool cont;
   std::string line;

   if(argc < 1)
      return 1;

   do{
      if(0 == get_user_parameter_info(arg1, "phi"))
         return 1;
      if(0 == get_user_parameter_info(arg2, "k"))
         return 1;

      mp_t(*fp)(mp_t, mp_t) = &heuman_lambda;
      data.insert(fp, arg1, arg2);

      std::cout << "Any more data [y/n]?";
      std::getline(std::cin, line);
      boost::algorithm::trim(line);
      cont = (line == "y");
   }while(cont);

   std::cout << "Enter name of test data file [default=heuman_lambda_data.ipp]";
   std::getline(std::cin, line);
   boost::algorithm::trim(line);
   if(line == "")
      line = "heuman_lambda_data.ipp";
   std::ofstream ofs(line.c_str());
   line.erase(line.find('.'));
   ofs << std::scientific << std::setprecision(40);
   write_code(ofs, data, line.c_str());

   return 0;
}