// 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>
//
// Copyright (C) 2007-2013 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License along
// with this library; see the file COPYING3.  If not see
// <http://www.gnu.org/licenses/>.

//  comp_ellint_2


//  Compare against values generated by the GNU Scientific Library.
//  The GSL can be found on the web: http://www.gnu.org/software/gsl/

#include <tr1/cmath>
#if defined(__TEST_DEBUG)
#include <iostream>
#define VERIFY(A) \
if (!(A)) \
  { \
    std::cout << "line " << __LINE__ \
      << "  max_abs_frac = " << max_abs_frac \
      << std::endl; \
  }
#else
#include <testsuite_hooks.h>
#endif
#include "../testcase.h"


// Test data.
testcase_comp_ellint_2<double> data001[] = {
  { 1.1716970527816140, -0.90000000000000002 },
  { 1.2763499431699066, -0.80000000000000004 },
  { 1.3556611355719557, -0.69999999999999996 },
  { 1.4180833944487243, -0.59999999999999998 },
  { 1.4674622093394274, -0.50000000000000000 },
  { 1.5059416123600402, -0.40000000000000002 },
  { 1.5348334649232489, -0.30000000000000004 },
  { 1.5549685462425296, -0.19999999999999996 },
  { 1.5668619420216685, -0.099999999999999978 },
  { 1.5707963267948966, 0.0000000000000000 },
  { 1.5668619420216685, 0.10000000000000009 },
  { 1.5549685462425296, 0.19999999999999996 },
  { 1.5348334649232489, 0.30000000000000004 },
  { 1.5059416123600404, 0.39999999999999991 },
  { 1.4674622093394274, 0.50000000000000000 },
  { 1.4180833944487241, 0.60000000000000009 },
  { 1.3556611355719557, 0.69999999999999996 },
  { 1.2763499431699066, 0.80000000000000004 },
  { 1.1716970527816142, 0.89999999999999991 },
};

// Test function.
template <typename Tp>
void test001()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data001)
                         / sizeof(testcase_comp_ellint_2<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::comp_ellint_2(Tp(data001[i].k));
      const Tp f0 = data001[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
}

int main(int, char**)
{
  test001<double>();
  return 0;
}
