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Commit a7a389d6 by Edward Smith-Rowland Committed by Edward Smith-Rowland
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specfun.h: Expose airy_ai and airy_bi. 

2017-11-18  Edward Smith-Rowland  <3dw4rd@verizon.net>

	* include/bits/specfun.h: Expose airy_ai and airy_bi.
	* include/tr1/modified_bessel_func.tcc: Treat NaN and inf arg, return.
	* testsuite/ext/special_functions/airy_ai/check_nan.cc: New.
	* testsuite/ext/special_functions/airy_ai/check_value.cc: New.
	* testsuite/ext/special_functions/airy_ai/compile.cc: New.
	* testsuite/ext/special_functions/airy_bi/check_nan.cc: New.
	* testsuite/ext/special_functions/airy_bi/check_value.cc: New.
	* testsuite/ext/special_functions/airy_bi/compile.cc: New.

From-SVN: r254917
parent a7037861
Showing with 541 additions and 1 deletions
libstdc++-v3/ChangeLog
2017-11-18 Edward Smith-Rowland <3dw4rd@verizon.net>
Expose Airy functions as an extenaion.
* include/bits/specfun.h: Expose airy_ai and airy_bi.
* include/tr1/modified_bessel_func.tcc: Treat NaN and inf arg, return.
* testsuite/ext/special_functions/airy_ai/check_nan.cc: New.
* testsuite/ext/special_functions/airy_ai/check_value.cc: New.
* testsuite/ext/special_functions/airy_ai/compile.cc: New.
* testsuite/ext/special_functions/airy_bi/check_nan.cc: New.
* testsuite/ext/special_functions/airy_bi/check_value.cc: New.
* testsuite/ext/special_functions/airy_bi/compile.cc: New.
2017-11-17 Igor Tsimbalist <igor.v.tsimbalist@intel.com>
* acinclude.m4: Add cet.m4.
......
libstdc++-v3/include/bits/specfun.h
......@@ -1206,6 +1206,78 @@ namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
// Airy functions
/**
* Return the Airy function @f$ Ai(x) @f$ of @c float argument x.
*/
inline float
airy_aif(float __x)
{
float __Ai, __Bi, __Aip, __Bip;
std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
return __Ai;
}
/**
* Return the Airy function @f$ Ai(x) @f$ of <tt>long double</tt> argument x.
*/
inline long double
airy_ail(long double __x)
{
long double __Ai, __Bi, __Aip, __Bip;
std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
return __Ai;
}
/**
* Return the Airy function @f$ Ai(x) @f$ of real argument x.
*/
template<typename _Tp>
inline typename __gnu_cxx::__promote<_Tp>::__type
airy_ai(_Tp __x)
{
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
__type __Ai, __Bi, __Aip, __Bip;
std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
return __Ai;
}
/**
* Return the Airy function @f$ Bi(x) @f$ of @c float argument x.
*/
inline float
airy_bif(float __x)
{
float __Ai, __Bi, __Aip, __Bip;
std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
return __Bi;
}
/**
* Return the Airy function @f$ Bi(x) @f$ of <tt>long double</tt> argument x.
*/
inline long double
airy_bil(long double __x)
{
long double __Ai, __Bi, __Aip, __Bip;
std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
return __Bi;
}
/**
* Return the Airy function @f$ Bi(x) @f$ of real argument x.
*/
template<typename _Tp>
inline typename __gnu_cxx::__promote<_Tp>::__type
airy_bi(_Tp __x)
{
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
__type __Ai, __Bi, __Aip, __Bip;
std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
return __Bi;
}
// Confluent hypergeometric functions
/**
......
libstdc++-v3/include/tr1/modified_bessel_func.tcc
......@@ -377,8 +377,19 @@ namespace tr1
const _Tp __absx = std::abs(__x);
const _Tp __rootx = std::sqrt(__absx);
const _Tp __z = _Tp(2) * __absx * __rootx / _Tp(3);
const _Tp _S_NaN = std::numeric_limits<_Tp>::quiet_NaN();
const _Tp _S_inf = std::numeric_limits<_Tp>::infinity();
if (__x > _Tp(0))
if (__isnan(__x))
__Bip = __Aip = __Bi = __Ai = std::numeric_limits<_Tp>::quiet_NaN();
else if (__z == _S_inf)
{
__Aip = __Ai = _Tp{0};
__Bip = __Bi = _S_inf;
}
else if (__z == -_S_inf)
__Bip = __Aip = __Bi = __Ai = _Tp{0};
else if (__x > _Tp(0))
{
_Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;
......
libstdc++-v3/testsuite/ext/special_functions/airy_ai/check_nan.cc 0 → 100644
// { dg-do run { target c++11 } }
// { dg-require-c-std "" }
// { dg-add-options ieee }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
// Copyright (C) 2016-2017 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_ai
#include <cmath>
#include <testsuite_hooks.h>
void
test01()
{
float xf = std::numeric_limits<float>::quiet_NaN();
double xd = std::numeric_limits<double>::quiet_NaN();
long double xl = std::numeric_limits<long double>::quiet_NaN();
float a = __gnu_cxx::airy_ai(xf);
float b = __gnu_cxx::airy_aif(xf);
double c = __gnu_cxx::airy_ai(xd);
long double d = __gnu_cxx::airy_ai(xl);
long double e = __gnu_cxx::airy_ail(xl);
bool test [[gnu::unused]] = true;
VERIFY(std::isnan(a));
VERIFY(std::isnan(b));
VERIFY(std::isnan(c));
VERIFY(std::isnan(d));
VERIFY(std::isnan(e));
return;
}
int
main()
{
test01();
return 0;
}
libstdc++-v3/testsuite/ext/special_functions/airy_ai/check_value.cc 0 → 100644
// { dg-do run { target c++11 } }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
//
// Copyright (C) 2016-2017 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_ai
// 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|): 2.0261570199409107e-15 at index 0
// max(|f - f_GSL| / |f_GSL|): 5.7527019513802774e-14
// mean(f - f_GSL): 5.7893945880945940e-17
// variance(f - f_GSL): 8.5887539970087062e-35
// stddev(f - f_GSL): 9.2675530734971811e-18
const testcase_airy_ai<double>
data001[41] =
{
{ 0.040241238486444071, -10.000000000000000, 0.0 },
{ 0.31910324771912801, -9.5000000000000000, 0.0 },
{ -0.022133721547341240, -9.0000000000000000, 0.0 },
{ -0.33029023763020882, -8.5000000000000000, 0.0 },
{ -0.052705050356385910, -8.0000000000000000, 0.0 },
{ 0.32177571638064789, -7.5000000000000000, 0.0 },
{ 0.18428083525050609, -7.0000000000000000, 0.0 },
{ -0.23802030199711663, -6.5000000000000000, 0.0 },
{ -0.32914517362982321, -6.0000000000000000, 0.0 },
{ 0.017781541276574383, -5.5000000000000000, 0.0 },
{ 0.35076100902411411, -5.0000000000000000, 0.0 },
{ 0.29215278105595921, -4.5000000000000000, 0.0 },
{ -0.070265532949289680, -4.0000000000000000, 0.0 },
{ -0.37553382314043182, -3.5000000000000000, 0.0 },
{ -0.37881429367765823, -3.0000000000000000, 0.0 },
{ -0.11232506769296607, -2.5000000000000000, 0.0 },
{ 0.22740742820168561, -2.0000000000000000, 0.0 },
{ 0.46425657774886947, -1.5000000000000000, 0.0 },
{ 0.53556088329235207, -1.0000000000000000, 0.0 },
{ 0.47572809161053958, -0.50000000000000000, 0.0 },
{ 0.35502805388781722, 0.0000000000000000, 0.0 },
{ 0.23169360648083348, 0.50000000000000000, 0.0 },
{ 0.13529241631288141, 1.0000000000000000, 0.0 },
{ 0.071749497008105428, 1.5000000000000000, 0.0 },
{ 0.034924130423274372, 2.0000000000000000, 0.0 },
{ 0.015725923380470481, 2.5000000000000000, 0.0 },
{ 0.0065911393574607175, 3.0000000000000000, 0.0 },
{ 0.0025840987869896349, 3.5000000000000000, 0.0 },
{ 0.00095156385120480195, 4.0000000000000000, 0.0 },
{ 0.00033025032351430934, 4.5000000000000000, 0.0 },
{ 0.00010834442813607434, 5.0000000000000000, 0.0 },
{ 3.3685311908599812e-05, 5.5000000000000000, 0.0 },
{ 9.9476943602528973e-06, 6.0000000000000000, 0.0 },
{ 2.7958823432049148e-06, 6.5000000000000000, 0.0 },
{ 7.4921288639971570e-07, 7.0000000000000000, 0.0 },
{ 1.9172560675134295e-07, 7.5000000000000000, 0.0 },
{ 4.6922076160992236e-08, 8.0000000000000000, 0.0 },
{ 1.0997009755195515e-08, 8.5000000000000000, 0.0 },
{ 2.4711684308724904e-09, 9.0000000000000000, 0.0 },
{ 5.3302637046174900e-10, 9.5000000000000000, 0.0 },
{ 1.1047532552898652e-10, 10.000000000000000, 0.0 },
};
const double toler001 = 5.0000000000000029e-12;
template<typename Ret, unsigned int Num>
void
test(const testcase_airy_ai<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_ai(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;
}
libstdc++-v3/testsuite/ext/special_functions/airy_ai/compile.cc 0 → 100644
// { dg-do compile { target c++11 } }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
// Copyright (C) 2016-2017 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_ai
#include <cmath>
void
test01()
{
float xf = 0.5F;
double xd = 0.5;
long double xl = 0.5L;
__gnu_cxx::airy_ai(xf);
__gnu_cxx::airy_aif(xf);
__gnu_cxx::airy_ai(xd);
__gnu_cxx::airy_ai(xl);
__gnu_cxx::airy_ail(xl);
return;
}
libstdc++-v3/testsuite/ext/special_functions/airy_bi/check_nan.cc 0 → 100644
// { dg-do run { target c++11 } }
// { dg-require-c-std "" }
// { dg-add-options ieee }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
// Copyright (C) 2016-2017 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
#include <cmath>
#include <testsuite_hooks.h>
void
test01()
{
float xf = std::numeric_limits<float>::quiet_NaN();
double xd = std::numeric_limits<double>::quiet_NaN();
long double xl = std::numeric_limits<long double>::quiet_NaN();
float a = __gnu_cxx::airy_bi(xf);
float b = __gnu_cxx::airy_bif(xf);
double c = __gnu_cxx::airy_bi(xd);
long double d = __gnu_cxx::airy_bi(xl);
long double e = __gnu_cxx::airy_bil(xl);
bool test [[gnu::unused]] = true;
VERIFY(std::isnan(a));
VERIFY(std::isnan(b));
VERIFY(std::isnan(c));
VERIFY(std::isnan(d));
VERIFY(std::isnan(e));
return;
}
int
main()
{
test01();
return 0;
}
libstdc++-v3/testsuite/ext/special_functions/airy_bi/check_value.cc 0 → 100644
// { dg-do run { target c++11 } }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
//
// Copyright (C) 2016-2017 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;
}
libstdc++-v3/testsuite/ext/special_functions/airy_bi/compile.cc 0 → 100644
// { dg-do compile { target c++11 } }
// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
// Copyright (C) 2016-2017 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
#include <cmath>
void
test01()
{
float xf = 0.5F;
double xd = 0.5;
long double xl = 0.5L;
__gnu_cxx::airy_bi(xf);
__gnu_cxx::airy_bif(xf);
__gnu_cxx::airy_bi(xd);
__gnu_cxx::airy_bi(xl);
__gnu_cxx::airy_bil(xl);
return;
}
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