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// { dg-do run { target c++11 } }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
//
// Copyright (C) 2016-2018 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/>.
// airy_bi
// 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|): 3.2782554626464844e-06 at index 40
// max(|f - f_GSL| / |f_GSL|): 1.3623770134694109e-13
// mean(f - f_GSL): -8.0102555317125191e-08
// variance(f - f_GSL): 2.6209716422814286e-13
// stddev(f - f_GSL): 5.1195425989842373e-07
const testcase_airy_bi<double>
data001[41] =
{
{ -0.31467982964383845, -10.000000000000000, 0.0 },
{ 0.037785432489467467, -9.5000000000000000, 0.0 },
{ 0.32494732345524480, -9.0000000000000000, 0.0 },
{ 0.0077544364476580746, -8.5000000000000000, 0.0 },
{ -0.33125158075113792, -8.0000000000000000, 0.0 },
{ -0.11246348507649087, -7.5000000000000000, 0.0 },
{ 0.29376207185441372, -7.0000000000000000, 0.0 },
{ 0.26101265763648318, -6.5000000000000000, 0.0 },
{ -0.14669837667055663, -6.0000000000000000, 0.0 },
{ -0.36781345391571185, -5.5000000000000000, 0.0 },
{ -0.13836913490160088, -5.0000000000000000, 0.0 },
{ 0.25387265769693296, -4.5000000000000000, 0.0 },
{ 0.39223470570699931, -4.0000000000000000, 0.0 },
{ 0.16893983748105870, -3.5000000000000000, 0.0 },
{ -0.19828962637492650, -3.0000000000000000, 0.0 },
{ -0.43242247184070520, -2.5000000000000000, 0.0 },
{ -0.41230258795639835, -2.0000000000000000, 0.0 },
{ -0.19178486115704119, -1.5000000000000000, 0.0 },
{ 0.10399738949694459, -1.0000000000000000, 0.0 },
{ 0.38035265975105381, -0.50000000000000000, 0.0 },
{ 0.61492662744600068, 0.0000000000000000, 0.0 },
{ 0.85427704310315555, 0.50000000000000000, 0.0 },
{ 1.2074235949528713, 1.0000000000000000, 0.0 },
{ 1.8789415037478949, 1.5000000000000000, 0.0 },
{ 3.2980949999782148, 2.0000000000000000, 0.0 },
{ 6.4816607384605804, 2.5000000000000000, 0.0 },
{ 14.037328963730236, 3.0000000000000000, 0.0 },
{ 33.055506754611478, 3.5000000000000000, 0.0 },
{ 83.847071408468111, 4.0000000000000000, 0.0 },
{ 227.58808183559950, 4.5000000000000000, 0.0 },
{ 657.79204417117160, 5.0000000000000000, 0.0 },
{ 2016.5800386595315, 5.5000000000000000, 0.0 },
{ 6536.4461048098583, 6.0000000000000000, 0.0 },
{ 22340.607718396990, 6.5000000000000000, 0.0 },
{ 80327.790709430337, 7.0000000000000000, 0.0 },
{ 303229.61511253362, 7.5000000000000000, 0.0 },
{ 1199586.0041244617, 8.0000000000000000, 0.0 },
{ 4965319.5414712988, 8.5000000000000000, 0.0 },
{ 21472868.891435351, 9.0000000000000000, 0.0 },
{ 96892265.580451161, 9.5000000000000000, 0.0 },
{ 455641153.54822654, 10.000000000000000, 0.0 },
};
const double toler001 = 1.0000000000000006e-11;
template<typename Ret, unsigned int Num>
void
test(const testcase_airy_bi<Ret> (&data)[Num], Ret toler)
{
bool test __attribute__((unused)) = true;
const Ret eps = std::numeric_limits<Ret>::epsilon();
Ret max_abs_diff = -Ret(1);
Ret max_abs_frac = -Ret(1);
unsigned int num_datum = Num;
for (unsigned int i = 0; i < num_datum; ++i)
{
const Ret f = __gnu_cxx::airy_bi(data[i].x);
const Ret f0 = data[i].f0;
const Ret diff = f - f0;
if (std::abs(diff) > max_abs_diff)
max_abs_diff = std::abs(diff);
if (std::abs(f0) > Ret(10) * eps
&& std::abs(f) > Ret(10) * eps)
{
const Ret 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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