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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/>.

//  expint

//  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_expint<double> data001[] = {

  { 1.8951178163559366, 1.0000000000000000 },

  { 4.9542343560018907, 2.0000000000000000 },

  { 9.9338325706254160, 3.0000000000000000 },

  { 19.630874470056217, 4.0000000000000000 },

  { 40.185275355803178, 5.0000000000000000 },

  { 85.989762142439204, 6.0000000000000000 },

  { 191.50474333550139, 7.0000000000000000 },

  { 440.37989953483827, 8.0000000000000000 },

  { 1037.8782907170896, 9.0000000000000000 },

  { 2492.2289762418782, 10.000000000000000 },

  { 6071.4063740986112, 11.000000000000000 },

  { 14959.532666397527, 12.000000000000000 },

  { 37197.688490689041, 13.000000000000000 },

  { 93192.513633965369, 14.000000000000000 },

  { 234955.85249076830, 15.000000000000000 },

  { 595560.99867083703, 16.000000000000000 },

  { 1516637.8940425171, 17.000000000000000 },

  { 3877904.3305974435, 18.000000000000000 },

  { 9950907.2510468438, 19.000000000000000 },

  { 25615652.664056588, 20.000000000000000 },

  { 66127186.355484918, 21.000000000000000 },

  { 171144671.30036369, 22.000000000000000 },

  { 443966369.83027118, 23.000000000000000 },

  { 1154115391.8491828, 24.000000000000000 },

  { 3005950906.5255489, 25.000000000000000 },

  { 7842940991.8981876, 26.000000000000000 },

  { 20496497119.880810, 27.000000000000000 },

  { 53645118592.314682, 28.000000000000000 },

  { 140599195758.40689, 29.000000000000000 },

  { 368973209407.27423, 30.000000000000000 },

  { 969455575968.39392, 31.000000000000000 },

  { 2550043566357.7866, 32.000000000000000 },

  { 6714640184076.4980, 33.000000000000000 },

  { 17698037244116.266, 34.000000000000000 },

  { 46690550144661.594, 35.000000000000000 },

  { 123285207991209.75, 36.000000000000000 },

  { 325798899867226.44, 37.000000000000000 },

  { 861638819996578.62, 38.000000000000000 },

  { 2280446200301902.5, 39.000000000000000 },

  { 6039718263611242.0, 40.000000000000000 },

  { 16006649143245042., 41.000000000000000 },

  { 42447960921368504., 42.000000000000000 },

  { 1.1263482901669667e+17, 43.000000000000000 },

  { 2.9904447186323366e+17, 44.000000000000000 },

  { 7.9439160357044531e+17, 45.000000000000000 },

  { 2.1113423886478239e+18, 46.000000000000000 },

  { 5.6143296808103434e+18, 47.000000000000000 },

  { 1.4936302131129930e+19, 48.000000000000000 },

  { 3.9754427479037444e+19, 49.000000000000000 },

  { 1.0585636897131690e+20, 50.000000000000000 },

};

// 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_expint<double>);

  for (unsigned int i = 0; i < num_datum; ++i)

    {

      const Tp f = std::tr1::expint(Tp(data001[i].x));

      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(2.5000000000000020e-13));

}

int main(int, char**)

{

  test001<double>();

  return 0;

}