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// 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net>
//
// Copyright (C) 2007-2016 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_1
// 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_1<double> data001[] = {
{ 2.2805491384227703, -0.90000000000000002 },
{ 1.9953027776647296, -0.80000000000000004 },
{ 1.8456939983747236, -0.69999999999999996 },
{ 1.7507538029157526, -0.59999999999999998 },
{ 1.6857503548125963, -0.50000000000000000 },
{ 1.6399998658645112, -0.40000000000000002 },
{ 1.6080486199305126, -0.30000000000000004 },
{ 1.5868678474541664, -0.19999999999999996 },
{ 1.5747455615173562, -0.099999999999999978 },
{ 1.5707963267948966, 0.0000000000000000 },
{ 1.5747455615173562, 0.10000000000000009 },
{ 1.5868678474541664, 0.19999999999999996 },
{ 1.6080486199305126, 0.30000000000000004 },
{ 1.6399998658645112, 0.39999999999999991 },
{ 1.6857503548125963, 0.50000000000000000 },
{ 1.7507538029157526, 0.60000000000000009 },
{ 1.8456939983747236, 0.69999999999999996 },
{ 1.9953027776647296, 0.80000000000000004 },
{ 2.2805491384227699, 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_1<double>);
for (unsigned int i = 0; i < num_datum; ++i)
{
const Tp f = std::tr1::comp_ellint_1(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(2.5000000000000020e-13));
}
int main(int, char**)
{
test001<double>();
return 0;
}
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