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// 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>

//

// Copyright (C) 2007, 2009 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;

}