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
This commit is contained in:
Edward Smith-Rowland
Edward Smith-Rowland
parent
a7037861a7
commit
a7a389d6ee
9 changed files with 541 additions and 1 deletions
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@ -1,3 +1,14 @@
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2017-11-18 Edward Smith-Rowland <3dw4rd@verizon.net>
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Expose Airy functions as an extenaion.
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* include/bits/specfun.h: Expose airy_ai and airy_bi.
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* include/tr1/modified_bessel_func.tcc: Treat NaN and inf arg, return.
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* testsuite/ext/special_functions/airy_ai/check_nan.cc: New.
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* testsuite/ext/special_functions/airy_ai/check_value.cc: New.
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* testsuite/ext/special_functions/airy_ai/compile.cc: New.
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* testsuite/ext/special_functions/airy_bi/check_nan.cc: New.
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* testsuite/ext/special_functions/airy_bi/check_value.cc: New.
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* testsuite/ext/special_functions/airy_bi/compile.cc: New.
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2017-11-17 Igor Tsimbalist <igor.v.tsimbalist@intel.com>
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* acinclude.m4: Add cet.m4.
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@ -1206,6 +1206,78 @@ namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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// Airy functions
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/**
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* Return the Airy function @f$ Ai(x) @f$ of @c float argument x.
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*/
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inline float
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airy_aif(float __x)
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{
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float __Ai, __Bi, __Aip, __Bip;
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std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
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return __Ai;
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}
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/**
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* Return the Airy function @f$ Ai(x) @f$ of <tt>long double</tt> argument x.
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*/
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inline long double
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airy_ail(long double __x)
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{
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long double __Ai, __Bi, __Aip, __Bip;
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std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
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return __Ai;
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}
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/**
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* Return the Airy function @f$ Ai(x) @f$ of real argument x.
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*/
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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airy_ai(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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__type __Ai, __Bi, __Aip, __Bip;
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std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
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return __Ai;
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}
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/**
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* Return the Airy function @f$ Bi(x) @f$ of @c float argument x.
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*/
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inline float
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airy_bif(float __x)
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{
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float __Ai, __Bi, __Aip, __Bip;
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std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
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return __Bi;
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}
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/**
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* Return the Airy function @f$ Bi(x) @f$ of <tt>long double</tt> argument x.
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*/
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inline long double
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airy_bil(long double __x)
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{
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long double __Ai, __Bi, __Aip, __Bip;
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std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
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return __Bi;
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}
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/**
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* Return the Airy function @f$ Bi(x) @f$ of real argument x.
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*/
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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airy_bi(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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__type __Ai, __Bi, __Aip, __Bip;
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std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
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return __Bi;
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}
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// Confluent hypergeometric functions
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/**
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@ -377,8 +377,19 @@ namespace tr1
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const _Tp __absx = std::abs(__x);
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const _Tp __rootx = std::sqrt(__absx);
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const _Tp __z = _Tp(2) * __absx * __rootx / _Tp(3);
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const _Tp _S_NaN = std::numeric_limits<_Tp>::quiet_NaN();
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const _Tp _S_inf = std::numeric_limits<_Tp>::infinity();
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if (__x > _Tp(0))
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if (__isnan(__x))
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__Bip = __Aip = __Bi = __Ai = std::numeric_limits<_Tp>::quiet_NaN();
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else if (__z == _S_inf)
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{
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__Aip = __Ai = _Tp{0};
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__Bip = __Bi = _S_inf;
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}
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else if (__z == -_S_inf)
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__Bip = __Aip = __Bi = __Ai = _Tp{0};
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else if (__x > _Tp(0))
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{
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_Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;
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@ -0,0 +1,57 @@
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// { dg-do run { target c++11 } }
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// { dg-require-c-std "" }
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// { dg-add-options ieee }
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// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
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// Copyright (C) 2016-2017 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING3. If not see
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// <http://www.gnu.org/licenses/>.
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// airy_ai
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#include <cmath>
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#include <testsuite_hooks.h>
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void
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test01()
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{
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float xf = std::numeric_limits<float>::quiet_NaN();
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double xd = std::numeric_limits<double>::quiet_NaN();
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long double xl = std::numeric_limits<long double>::quiet_NaN();
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float a = __gnu_cxx::airy_ai(xf);
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float b = __gnu_cxx::airy_aif(xf);
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double c = __gnu_cxx::airy_ai(xd);
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long double d = __gnu_cxx::airy_ai(xl);
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long double e = __gnu_cxx::airy_ail(xl);
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bool test [[gnu::unused]] = true;
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VERIFY(std::isnan(a));
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VERIFY(std::isnan(b));
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VERIFY(std::isnan(c));
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VERIFY(std::isnan(d));
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VERIFY(std::isnan(e));
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return;
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}
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int
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main()
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{
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test01();
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return 0;
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}
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@ -0,0 +1,126 @@
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// { dg-do run { target c++11 } }
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// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
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//
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// Copyright (C) 2016-2017 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING3. If not see
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// <http://www.gnu.org/licenses/>.
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// airy_ai
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// Compare against values generated by the GNU Scientific Library.
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// The GSL can be found on the web: http://www.gnu.org/software/gsl/
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#include <limits>
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#include <cmath>
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#if defined(__TEST_DEBUG)
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# include <iostream>
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# define VERIFY(A) \
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if (!(A)) \
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{ \
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std::cout << "line " << __LINE__ \
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<< " max_abs_frac = " << max_abs_frac \
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<< std::endl; \
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}
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#else
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# include <testsuite_hooks.h>
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#endif
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#include <specfun_testcase.h>
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// Test data.
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// max(|f - f_GSL|): 2.0261570199409107e-15 at index 0
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// max(|f - f_GSL| / |f_GSL|): 5.7527019513802774e-14
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// mean(f - f_GSL): 5.7893945880945940e-17
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// variance(f - f_GSL): 8.5887539970087062e-35
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// stddev(f - f_GSL): 9.2675530734971811e-18
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const testcase_airy_ai<double>
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data001[41] =
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{
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{ 0.040241238486444071, -10.000000000000000, 0.0 },
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{ 0.31910324771912801, -9.5000000000000000, 0.0 },
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{ -0.022133721547341240, -9.0000000000000000, 0.0 },
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{ -0.33029023763020882, -8.5000000000000000, 0.0 },
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{ -0.052705050356385910, -8.0000000000000000, 0.0 },
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{ 0.32177571638064789, -7.5000000000000000, 0.0 },
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{ 0.18428083525050609, -7.0000000000000000, 0.0 },
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{ -0.23802030199711663, -6.5000000000000000, 0.0 },
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{ -0.32914517362982321, -6.0000000000000000, 0.0 },
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{ 0.017781541276574383, -5.5000000000000000, 0.0 },
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{ 0.35076100902411411, -5.0000000000000000, 0.0 },
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{ 0.29215278105595921, -4.5000000000000000, 0.0 },
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{ -0.070265532949289680, -4.0000000000000000, 0.0 },
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{ -0.37553382314043182, -3.5000000000000000, 0.0 },
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{ -0.37881429367765823, -3.0000000000000000, 0.0 },
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{ -0.11232506769296607, -2.5000000000000000, 0.0 },
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{ 0.22740742820168561, -2.0000000000000000, 0.0 },
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{ 0.46425657774886947, -1.5000000000000000, 0.0 },
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{ 0.53556088329235207, -1.0000000000000000, 0.0 },
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{ 0.47572809161053958, -0.50000000000000000, 0.0 },
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{ 0.35502805388781722, 0.0000000000000000, 0.0 },
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{ 0.23169360648083348, 0.50000000000000000, 0.0 },
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{ 0.13529241631288141, 1.0000000000000000, 0.0 },
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{ 0.071749497008105428, 1.5000000000000000, 0.0 },
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{ 0.034924130423274372, 2.0000000000000000, 0.0 },
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{ 0.015725923380470481, 2.5000000000000000, 0.0 },
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{ 0.0065911393574607175, 3.0000000000000000, 0.0 },
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{ 0.0025840987869896349, 3.5000000000000000, 0.0 },
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{ 0.00095156385120480195, 4.0000000000000000, 0.0 },
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{ 0.00033025032351430934, 4.5000000000000000, 0.0 },
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{ 0.00010834442813607434, 5.0000000000000000, 0.0 },
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{ 3.3685311908599812e-05, 5.5000000000000000, 0.0 },
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{ 9.9476943602528973e-06, 6.0000000000000000, 0.0 },
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{ 2.7958823432049148e-06, 6.5000000000000000, 0.0 },
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{ 7.4921288639971570e-07, 7.0000000000000000, 0.0 },
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{ 1.9172560675134295e-07, 7.5000000000000000, 0.0 },
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{ 4.6922076160992236e-08, 8.0000000000000000, 0.0 },
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{ 1.0997009755195515e-08, 8.5000000000000000, 0.0 },
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{ 2.4711684308724904e-09, 9.0000000000000000, 0.0 },
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{ 5.3302637046174900e-10, 9.5000000000000000, 0.0 },
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{ 1.1047532552898652e-10, 10.000000000000000, 0.0 },
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};
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const double toler001 = 5.0000000000000029e-12;
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template<typename Ret, unsigned int Num>
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void
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test(const testcase_airy_ai<Ret> (&data)[Num], Ret toler)
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{
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bool test __attribute__((unused)) = true;
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const Ret eps = std::numeric_limits<Ret>::epsilon();
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Ret max_abs_diff = -Ret(1);
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Ret max_abs_frac = -Ret(1);
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unsigned int num_datum = Num;
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Ret f = __gnu_cxx::airy_ai(data[i].x);
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const Ret f0 = data[i].f0;
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const Ret diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Ret(10) * eps
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&& std::abs(f) > Ret(10) * eps)
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{
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const Ret frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < toler);
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}
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int
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main()
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{
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test(data001, toler001);
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return 0;
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}
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// { dg-do compile { target c++11 } }
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// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
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// Copyright (C) 2016-2017 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
|
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
|
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//
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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING3. If not see
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// <http://www.gnu.org/licenses/>.
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// airy_ai
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#include <cmath>
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void
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test01()
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{
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float xf = 0.5F;
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double xd = 0.5;
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long double xl = 0.5L;
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__gnu_cxx::airy_ai(xf);
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__gnu_cxx::airy_aif(xf);
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__gnu_cxx::airy_ai(xd);
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__gnu_cxx::airy_ai(xl);
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__gnu_cxx::airy_ail(xl);
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return;
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}
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// { dg-do run { target c++11 } }
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// { dg-require-c-std "" }
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// { dg-add-options ieee }
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// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
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// Copyright (C) 2016-2017 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
|
||||
// terms of the GNU General Public License as published by the
|
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// Free Software Foundation; either version 3, or (at your option)
|
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// any later version.
|
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//
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// This library is distributed in the hope that it will be useful,
|
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
|
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
|
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//
|
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// You should have received a copy of the GNU General Public License along
|
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// with this library; see the file COPYING3. If not see
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// <http://www.gnu.org/licenses/>.
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// airy_bi
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#include <cmath>
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#include <testsuite_hooks.h>
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void
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test01()
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{
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float xf = std::numeric_limits<float>::quiet_NaN();
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double xd = std::numeric_limits<double>::quiet_NaN();
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long double xl = std::numeric_limits<long double>::quiet_NaN();
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float a = __gnu_cxx::airy_bi(xf);
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float b = __gnu_cxx::airy_bif(xf);
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double c = __gnu_cxx::airy_bi(xd);
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long double d = __gnu_cxx::airy_bi(xl);
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long double e = __gnu_cxx::airy_bil(xl);
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bool test [[gnu::unused]] = true;
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VERIFY(std::isnan(a));
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VERIFY(std::isnan(b));
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VERIFY(std::isnan(c));
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VERIFY(std::isnan(d));
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VERIFY(std::isnan(e));
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return;
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}
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int
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main()
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{
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test01();
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return 0;
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}
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@ -0,0 +1,126 @@
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// { dg-do run { target c++11 } }
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// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
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//
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// Copyright (C) 2016-2017 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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||||
// 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;
|
||||
}
|
||||
|
|
@ -0,0 +1,40 @@
|
|||
// { 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;
|
||||
}
|
||||
|
||||
Loading…
Add table
Reference in a new issue