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// { dg-do run { target c++11 } }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
//
// Copyright (C) 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_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 <limits>
#include <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 <specfun_testcase.h>
// Test data.
// max(|f - f_GSL|): 6.6613381477509392e-16
// max(|f - f_GSL| / |f_GSL|): 4.4233707954398090e-16
const testcase_comp_ellint_2<double>
data001[19] =
{
{ 1.1716970527816140, -0.90000000000000002 },
{ 1.2763499431699064, -0.80000000000000004 },
{ 1.3556611355719554, -0.69999999999999996 },
{ 1.4180833944487241, -0.59999999999999998 },
{ 1.4674622093394274, -0.50000000000000000 },
{ 1.5059416123600402, -0.40000000000000002 },
{ 1.5348334649232491, -0.30000000000000004 },
{ 1.5549685462425291, -0.19999999999999996 },
{ 1.5668619420216685, -0.099999999999999978 },
{ 1.5707963267948966, 0.0000000000000000 },
{ 1.5668619420216685, 0.10000000000000009 },
{ 1.5549685462425291, 0.19999999999999996 },
{ 1.5348334649232491, 0.30000000000000004 },
{ 1.5059416123600404, 0.39999999999999991 },
{ 1.4674622093394274, 0.50000000000000000 },
{ 1.4180833944487241, 0.60000000000000009 },
{ 1.3556611355719554, 0.69999999999999996 },
{ 1.2763499431699064, 0.80000000000000004 },
{ 1.1716970527816144, 0.89999999999999991 },
};
const double toler001 = 2.5000000000000020e-13;
template<typename Tp, unsigned int Num>
void
test(const testcase_comp_ellint_2<Tp> (&data)[Num], Tp toler)
{
bool test __attribute__((unused)) = true;
const Tp eps = std::numeric_limits<Tp>::epsilon();
Tp max_abs_diff = -Tp(1);
Tp max_abs_frac = -Tp(1);
unsigned int num_datum = Num;
for (unsigned int i = 0; i < num_datum; ++i)
{
const Tp f = std::comp_ellint_2(data[i].k);
const Tp f0 = data[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 < toler);
}
int
main()
{
test(data001, toler001);
return 0;
}
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