1689 lines
42 KiB
C++
1689 lines
42 KiB
C++
// TR1 cmath -*- C++ -*-
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// Copyright (C) 2006-2017 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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// 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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// Under Section 7 of GPL version 3, you are granted additional
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// permissions described in the GCC Runtime Library Exception, version
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// 3.1, as published by the Free Software Foundation.
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// You should have received a copy of the GNU General Public License and
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// a copy of the GCC Runtime Library Exception along with this program;
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// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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// <http://www.gnu.org/licenses/>.
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/** @file tr1/cmath
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* This is a TR1 C++ Library header.
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*/
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#ifndef _GLIBCXX_TR1_CMATH
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#define _GLIBCXX_TR1_CMATH 1
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#pragma GCC system_header
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#include <cmath>
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#ifdef _GLIBCXX_USE_C99_MATH_TR1
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#undef acosh
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#undef acoshf
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#undef acoshl
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#undef asinh
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#undef asinhf
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#undef asinhl
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#undef atanh
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#undef atanhf
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#undef atanhl
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#undef cbrt
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#undef cbrtf
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#undef cbrtl
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#undef copysign
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#undef copysignf
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#undef copysignl
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#undef erf
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#undef erff
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#undef erfl
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#undef erfc
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#undef erfcf
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#undef erfcl
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#undef exp2
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#undef exp2f
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#undef exp2l
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#undef expm1
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#undef expm1f
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#undef expm1l
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#undef fdim
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#undef fdimf
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#undef fdiml
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#undef fma
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#undef fmaf
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#undef fmal
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#undef fmax
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#undef fmaxf
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#undef fmaxl
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#undef fmin
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#undef fminf
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#undef fminl
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#undef hypot
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#undef hypotf
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#undef hypotl
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#undef ilogb
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#undef ilogbf
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#undef ilogbl
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#undef lgamma
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#undef lgammaf
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#undef lgammal
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#undef llrint
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#undef llrintf
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#undef llrintl
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#undef llround
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#undef llroundf
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#undef llroundl
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#undef log1p
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#undef log1pf
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#undef log1pl
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#undef log2
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#undef log2f
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#undef log2l
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#undef logb
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#undef logbf
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#undef logbl
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#undef lrint
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#undef lrintf
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#undef lrintl
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#undef lround
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#undef lroundf
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#undef lroundl
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#undef nan
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#undef nanf
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#undef nanl
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#undef nearbyint
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#undef nearbyintf
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#undef nearbyintl
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#undef nextafter
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#undef nextafterf
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#undef nextafterl
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#undef nexttoward
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#undef nexttowardf
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#undef nexttowardl
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#undef remainder
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#undef remainderf
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#undef remainderl
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#undef remquo
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#undef remquof
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#undef remquol
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#undef rint
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#undef rintf
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#undef rintl
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#undef round
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#undef roundf
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#undef roundl
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#undef scalbln
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#undef scalblnf
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#undef scalblnl
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#undef scalbn
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#undef scalbnf
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#undef scalbnl
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#undef tgamma
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#undef tgammaf
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#undef tgammal
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#undef trunc
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#undef truncf
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#undef truncl
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#endif
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namespace std _GLIBCXX_VISIBILITY(default)
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{
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namespace tr1
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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#if _GLIBCXX_USE_C99_MATH_TR1
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// Using declarations to bring names from libc's <math.h> into std::tr1.
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// types
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using ::double_t;
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using ::float_t;
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// functions
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using ::acosh;
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using ::acoshf;
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using ::acoshl;
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using ::asinh;
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using ::asinhf;
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using ::asinhl;
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using ::atanh;
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using ::atanhf;
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using ::atanhl;
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using ::cbrt;
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using ::cbrtf;
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using ::cbrtl;
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using ::copysign;
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using ::copysignf;
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using ::copysignl;
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using ::erf;
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using ::erff;
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using ::erfl;
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using ::erfc;
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using ::erfcf;
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using ::erfcl;
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using ::exp2;
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using ::exp2f;
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using ::exp2l;
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using ::expm1;
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using ::expm1f;
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using ::expm1l;
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using ::fdim;
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using ::fdimf;
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using ::fdiml;
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using ::fma;
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using ::fmaf;
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using ::fmal;
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using ::fmax;
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using ::fmaxf;
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using ::fmaxl;
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using ::fmin;
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using ::fminf;
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using ::fminl;
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using ::hypot;
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using ::hypotf;
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using ::hypotl;
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using ::ilogb;
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using ::ilogbf;
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using ::ilogbl;
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using ::lgamma;
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using ::lgammaf;
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using ::lgammal;
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using ::llrint;
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using ::llrintf;
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using ::llrintl;
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using ::llround;
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using ::llroundf;
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using ::llroundl;
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using ::log1p;
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using ::log1pf;
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using ::log1pl;
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using ::log2;
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using ::log2f;
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using ::log2l;
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using ::logb;
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using ::logbf;
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using ::logbl;
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using ::lrint;
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using ::lrintf;
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using ::lrintl;
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using ::lround;
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using ::lroundf;
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using ::lroundl;
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using ::nan;
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using ::nanf;
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using ::nanl;
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using ::nearbyint;
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using ::nearbyintf;
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using ::nearbyintl;
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using ::nextafter;
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using ::nextafterf;
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using ::nextafterl;
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using ::nexttoward;
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using ::nexttowardf;
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using ::nexttowardl;
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using ::remainder;
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using ::remainderf;
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using ::remainderl;
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using ::remquo;
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using ::remquof;
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using ::remquol;
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using ::rint;
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using ::rintf;
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using ::rintl;
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using ::round;
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using ::roundf;
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using ::roundl;
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using ::scalbln;
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using ::scalblnf;
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using ::scalblnl;
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using ::scalbn;
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using ::scalbnf;
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using ::scalbnl;
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using ::tgamma;
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using ::tgammaf;
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using ::tgammal;
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using ::trunc;
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using ::truncf;
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using ::truncl;
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#endif
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#if _GLIBCXX_USE_C99_MATH
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#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
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/// Function template definitions [8.16.3].
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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fpclassify(_Tp __f)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
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FP_SUBNORMAL, FP_ZERO, __type(__f));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isfinite(_Tp __f)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isfinite(__type(__f));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isinf(_Tp __f)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isinf(__type(__f));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isnan(_Tp __f)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isnan(__type(__f));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isnormal(_Tp __f)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isnormal(__type(__f));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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signbit(_Tp __f)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_signbit(__type(__f));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isgreater(_Tp __f1, _Tp __f2)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isgreater(__type(__f1), __type(__f2));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isgreaterequal(_Tp __f1, _Tp __f2)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isgreaterequal(__type(__f1), __type(__f2));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isless(_Tp __f1, _Tp __f2)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isless(__type(__f1), __type(__f2));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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islessequal(_Tp __f1, _Tp __f2)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_islessequal(__type(__f1), __type(__f2));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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islessgreater(_Tp __f1, _Tp __f2)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_islessgreater(__type(__f1), __type(__f2));
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}
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
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int>::__type
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isunordered(_Tp __f1, _Tp __f2)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __builtin_isunordered(__type(__f1), __type(__f2));
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}
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#endif
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#endif
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#if _GLIBCXX_USE_C99_MATH_TR1
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/** Additional overloads [8.16.4].
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* @{
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*/
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// For functions defined in C++03 the additional overloads are already
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// declared in <cmath> so we can just re-declare them in std::tr1.
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using std::acos;
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using std::asin;
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using std::atan;
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using std::atan2;
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using std::ceil;
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using std::cos;
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using std::cosh;
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using std::exp;
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using std::floor;
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using std::fmod;
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using std::frexp;
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using std::ldexp;
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using std::log;
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using std::log10;
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using std::sin;
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using std::sinh;
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using std::sqrt;
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using std::tan;
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using std::tanh;
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#if __cplusplus >= 201103L
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// Since C++11, <cmath> defines additional overloads for these functions
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// in namespace std.
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using std::acosh;
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using std::asinh;
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using std::atanh;
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using std::cbrt;
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using std::copysign;
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using std::erf;
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using std::erfc;
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using std::exp2;
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using std::expm1;
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using std::fdim;
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using std::fma;
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using std::fmax;
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using std::fmin;
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using std::hypot;
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using std::ilogb;
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using std::lgamma;
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using std::llrint;
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using std::llround;
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using std::log1p;
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using std::log2;
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using std::logb;
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using std::lrint;
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using std::lround;
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using std::nan;
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using std::nearbyint;
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using std::nextafter;
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using std::nexttoward;
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using std::remainder;
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using std::remquo;
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using std::rint;
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using std::round;
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using std::scalbln;
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using std::scalbn;
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using std::tgamma;
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using std::trunc;
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#else // __cplusplus < 201103L
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// In C++03 we need to provide the additional overloads.
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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inline float
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acosh(float __x)
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{ return __builtin_acoshf(__x); }
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inline long double
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acosh(long double __x)
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{ return __builtin_acoshl(__x); }
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#endif
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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acosh(_Tp __x)
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{ return __builtin_acosh(__x); }
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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inline float
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asinh(float __x)
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{ return __builtin_asinhf(__x); }
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inline long double
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asinh(long double __x)
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{ return __builtin_asinhl(__x); }
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#endif
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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asinh(_Tp __x)
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{ return __builtin_asinh(__x); }
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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inline float
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atanh(float __x)
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{ return __builtin_atanhf(__x); }
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inline long double
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atanh(long double __x)
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{ return __builtin_atanhl(__x); }
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#endif
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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atanh(_Tp __x)
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{ return __builtin_atanh(__x); }
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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inline float
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cbrt(float __x)
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{ return __builtin_cbrtf(__x); }
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inline long double
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cbrt(long double __x)
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{ return __builtin_cbrtl(__x); }
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#endif
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template<typename _Tp>
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inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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cbrt(_Tp __x)
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{ return __builtin_cbrt(__x); }
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|
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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inline float
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copysign(float __x, float __y)
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{ return __builtin_copysignf(__x, __y); }
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|
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inline long double
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copysign(long double __x, long double __y)
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{ return __builtin_copysignl(__x, __y); }
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#endif
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template<typename _Tp, typename _Up>
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inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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copysign(_Tp __x, _Up __y)
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|
{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return copysign(__type(__x), __type(__y));
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}
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|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
erf(float __x)
|
|
{ return __builtin_erff(__x); }
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|
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inline long double
|
|
erf(long double __x)
|
|
{ return __builtin_erfl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
erf(_Tp __x)
|
|
{ return __builtin_erf(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
erfc(float __x)
|
|
{ return __builtin_erfcf(__x); }
|
|
|
|
inline long double
|
|
erfc(long double __x)
|
|
{ return __builtin_erfcl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
erfc(_Tp __x)
|
|
{ return __builtin_erfc(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
exp2(float __x)
|
|
{ return __builtin_exp2f(__x); }
|
|
|
|
inline long double
|
|
exp2(long double __x)
|
|
{ return __builtin_exp2l(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
exp2(_Tp __x)
|
|
{ return __builtin_exp2(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
expm1(float __x)
|
|
{ return __builtin_expm1f(__x); }
|
|
|
|
inline long double
|
|
expm1(long double __x)
|
|
{ return __builtin_expm1l(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
expm1(_Tp __x)
|
|
{ return __builtin_expm1(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
fdim(float __x, float __y)
|
|
{ return __builtin_fdimf(__x, __y); }
|
|
|
|
inline long double
|
|
fdim(long double __x, long double __y)
|
|
{ return __builtin_fdiml(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
fdim(_Tp __x, _Up __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return fdim(__type(__x), __type(__y));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
fma(float __x, float __y, float __z)
|
|
{ return __builtin_fmaf(__x, __y, __z); }
|
|
|
|
inline long double
|
|
fma(long double __x, long double __y, long double __z)
|
|
{ return __builtin_fmal(__x, __y, __z); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up, typename _Vp>
|
|
inline typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
|
|
fma(_Tp __x, _Up __y, _Vp __z)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
|
|
return fma(__type(__x), __type(__y), __type(__z));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
fmax(float __x, float __y)
|
|
{ return __builtin_fmaxf(__x, __y); }
|
|
|
|
inline long double
|
|
fmax(long double __x, long double __y)
|
|
{ return __builtin_fmaxl(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
fmax(_Tp __x, _Up __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return fmax(__type(__x), __type(__y));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
fmin(float __x, float __y)
|
|
{ return __builtin_fminf(__x, __y); }
|
|
|
|
inline long double
|
|
fmin(long double __x, long double __y)
|
|
{ return __builtin_fminl(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
fmin(_Tp __x, _Up __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return fmin(__type(__x), __type(__y));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
hypot(float __x, float __y)
|
|
{ return __builtin_hypotf(__x, __y); }
|
|
|
|
inline long double
|
|
hypot(long double __x, long double __y)
|
|
{ return __builtin_hypotl(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
hypot(_Tp __y, _Up __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return hypot(__type(__y), __type(__x));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline int
|
|
ilogb(float __x)
|
|
{ return __builtin_ilogbf(__x); }
|
|
|
|
inline int
|
|
ilogb(long double __x)
|
|
{ return __builtin_ilogbl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
int>::__type
|
|
ilogb(_Tp __x)
|
|
{ return __builtin_ilogb(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
lgamma(float __x)
|
|
{ return __builtin_lgammaf(__x); }
|
|
|
|
inline long double
|
|
lgamma(long double __x)
|
|
{ return __builtin_lgammal(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
lgamma(_Tp __x)
|
|
{ return __builtin_lgamma(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline long long
|
|
llrint(float __x)
|
|
{ return __builtin_llrintf(__x); }
|
|
|
|
inline long long
|
|
llrint(long double __x)
|
|
{ return __builtin_llrintl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
long long>::__type
|
|
llrint(_Tp __x)
|
|
{ return __builtin_llrint(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline long long
|
|
llround(float __x)
|
|
{ return __builtin_llroundf(__x); }
|
|
|
|
inline long long
|
|
llround(long double __x)
|
|
{ return __builtin_llroundl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
long long>::__type
|
|
llround(_Tp __x)
|
|
{ return __builtin_llround(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
log1p(float __x)
|
|
{ return __builtin_log1pf(__x); }
|
|
|
|
inline long double
|
|
log1p(long double __x)
|
|
{ return __builtin_log1pl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
log1p(_Tp __x)
|
|
{ return __builtin_log1p(__x); }
|
|
|
|
// DR 568.
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
log2(float __x)
|
|
{ return __builtin_log2f(__x); }
|
|
|
|
inline long double
|
|
log2(long double __x)
|
|
{ return __builtin_log2l(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
log2(_Tp __x)
|
|
{ return __builtin_log2(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
logb(float __x)
|
|
{ return __builtin_logbf(__x); }
|
|
|
|
inline long double
|
|
logb(long double __x)
|
|
{ return __builtin_logbl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
logb(_Tp __x)
|
|
{
|
|
return __builtin_logb(__x);
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline long
|
|
lrint(float __x)
|
|
{ return __builtin_lrintf(__x); }
|
|
|
|
inline long
|
|
lrint(long double __x)
|
|
{ return __builtin_lrintl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
long>::__type
|
|
lrint(_Tp __x)
|
|
{ return __builtin_lrint(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline long
|
|
lround(float __x)
|
|
{ return __builtin_lroundf(__x); }
|
|
|
|
inline long
|
|
lround(long double __x)
|
|
{ return __builtin_lroundl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
long>::__type
|
|
lround(_Tp __x)
|
|
{ return __builtin_lround(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
nearbyint(float __x)
|
|
{ return __builtin_nearbyintf(__x); }
|
|
|
|
inline long double
|
|
nearbyint(long double __x)
|
|
{ return __builtin_nearbyintl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
nearbyint(_Tp __x)
|
|
{ return __builtin_nearbyint(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
nextafter(float __x, float __y)
|
|
{ return __builtin_nextafterf(__x, __y); }
|
|
|
|
inline long double
|
|
nextafter(long double __x, long double __y)
|
|
{ return __builtin_nextafterl(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
nextafter(_Tp __x, _Up __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return nextafter(__type(__x), __type(__y));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
nexttoward(float __x, long double __y)
|
|
{ return __builtin_nexttowardf(__x, __y); }
|
|
|
|
inline long double
|
|
nexttoward(long double __x, long double __y)
|
|
{ return __builtin_nexttowardl(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
nexttoward(_Tp __x, long double __y)
|
|
{ return __builtin_nexttoward(__x, __y); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
remainder(float __x, float __y)
|
|
{ return __builtin_remainderf(__x, __y); }
|
|
|
|
inline long double
|
|
remainder(long double __x, long double __y)
|
|
{ return __builtin_remainderl(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
remainder(_Tp __x, _Up __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return remainder(__type(__x), __type(__y));
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
remquo(float __x, float __y, int* __pquo)
|
|
{ return __builtin_remquof(__x, __y, __pquo); }
|
|
|
|
inline long double
|
|
remquo(long double __x, long double __y, int* __pquo)
|
|
{ return __builtin_remquol(__x, __y, __pquo); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
remquo(_Tp __x, _Up __y, int* __pquo)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return remquo(__type(__x), __type(__y), __pquo);
|
|
}
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
rint(float __x)
|
|
{ return __builtin_rintf(__x); }
|
|
|
|
inline long double
|
|
rint(long double __x)
|
|
{ return __builtin_rintl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
rint(_Tp __x)
|
|
{ return __builtin_rint(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
round(float __x)
|
|
{ return __builtin_roundf(__x); }
|
|
|
|
inline long double
|
|
round(long double __x)
|
|
{ return __builtin_roundl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
round(_Tp __x)
|
|
{ return __builtin_round(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
scalbln(float __x, long __ex)
|
|
{ return __builtin_scalblnf(__x, __ex); }
|
|
|
|
inline long double
|
|
scalbln(long double __x, long __ex)
|
|
{ return __builtin_scalblnl(__x, __ex); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
scalbln(_Tp __x, long __ex)
|
|
{ return __builtin_scalbln(__x, __ex); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
scalbn(float __x, int __ex)
|
|
{ return __builtin_scalbnf(__x, __ex); }
|
|
|
|
inline long double
|
|
scalbn(long double __x, int __ex)
|
|
{ return __builtin_scalbnl(__x, __ex); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
scalbn(_Tp __x, int __ex)
|
|
{ return __builtin_scalbn(__x, __ex); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
tgamma(float __x)
|
|
{ return __builtin_tgammaf(__x); }
|
|
|
|
inline long double
|
|
tgamma(long double __x)
|
|
{ return __builtin_tgammal(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
tgamma(_Tp __x)
|
|
{ return __builtin_tgamma(__x); }
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
trunc(float __x)
|
|
{ return __builtin_truncf(__x); }
|
|
|
|
inline long double
|
|
trunc(long double __x)
|
|
{ return __builtin_truncl(__x); }
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
|
|
double>::__type
|
|
trunc(_Tp __x)
|
|
{ return __builtin_trunc(__x); }
|
|
|
|
#endif // __cplusplus < 201103L
|
|
|
|
// @}
|
|
|
|
#endif
|
|
_GLIBCXX_END_NAMESPACE_VERSION
|
|
}
|
|
}
|
|
|
|
namespace std _GLIBCXX_VISIBILITY(default)
|
|
{
|
|
namespace tr1
|
|
{
|
|
_GLIBCXX_BEGIN_NAMESPACE_VERSION
|
|
|
|
// DR 550. What should the return type of pow(float,int) be?
|
|
// NB: C++11 and TR1 != C++03.
|
|
|
|
// We cannot do "using std::pow;" because that would bring in unwanted
|
|
// pow(*, int) overloads in C++03, with the wrong return type. Instead we
|
|
// define all the necessary overloads, but the std::tr1::pow(double, double)
|
|
// overload cannot be provided here, because <tr1/math.h> would add it to
|
|
// the global namespace where it would clash with ::pow(double,double) from
|
|
// libc (revealed by the fix of PR c++/54537).
|
|
// The solution is to forward std::tr1::pow(double,double) to
|
|
// std::pow(double,double) via the function template below. See
|
|
// the discussion about this issue here:
|
|
// http://gcc.gnu.org/ml/gcc-patches/2012-09/msg01278.html
|
|
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
pow(float __x, float __y)
|
|
{ return std::pow(__x, __y); }
|
|
|
|
inline long double
|
|
pow(long double __x, long double __y)
|
|
{ return std::pow(__x, __y); }
|
|
#endif
|
|
|
|
template<typename _Tp, typename _Up>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
|
|
pow(_Tp __x, _Up __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
|
|
return std::pow(__type(__x), __type(__y));
|
|
}
|
|
|
|
#if __cplusplus >= 201103L
|
|
// We also deal with fabs in a special way, because "using std::fabs;"
|
|
// could bring in C++11's std::fabs<T>(const std::complex<T>&) with a
|
|
// different return type from std::tr1::fabs<T>(const std::complex<T>&).
|
|
// We define the necessary overloads, except std::tr1::fabs(double) which
|
|
// could clash with ::fabs(double) from libc.
|
|
// The function template handles double as well as integers, forwarding
|
|
// to std::fabs.
|
|
|
|
#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
|
|
#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
|
|
inline float
|
|
fabs(float __x)
|
|
{ return __builtin_fabsf(__x); }
|
|
|
|
inline long double
|
|
fabs(long double __x)
|
|
{ return __builtin_fabsl(__x); }
|
|
#endif
|
|
#endif
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
fabs(_Tp __x)
|
|
{ return std::fabs(__x); }
|
|
|
|
#else // ! C++11
|
|
|
|
// For C++03 just use std::fabs as there is no overload for std::complex<>.
|
|
using std::fabs;
|
|
|
|
#endif // C++11
|
|
|
|
|
|
|
|
_GLIBCXX_END_NAMESPACE_VERSION
|
|
}
|
|
}
|
|
|
|
#if _GLIBCXX_USE_STD_SPEC_FUNCS
|
|
|
|
namespace std _GLIBCXX_VISIBILITY(default)
|
|
{
|
|
namespace tr1
|
|
{
|
|
_GLIBCXX_BEGIN_NAMESPACE_VERSION
|
|
|
|
/**
|
|
* @defgroup tr1_math_spec_func Mathematical Special Functions
|
|
* @ingroup numerics
|
|
*
|
|
* A collection of advanced mathematical special functions.
|
|
* @{
|
|
*/
|
|
|
|
using std::assoc_laguerref;
|
|
using std::assoc_laguerrel;
|
|
using std::assoc_laguerre;
|
|
|
|
using std::assoc_legendref;
|
|
using std::assoc_legendrel;
|
|
using std::assoc_legendre;
|
|
|
|
using std::betaf;
|
|
using std::betal;
|
|
using std::beta;
|
|
|
|
using std::comp_ellint_1f;
|
|
using std::comp_ellint_1l;
|
|
using std::comp_ellint_1;
|
|
|
|
using std::comp_ellint_2f;
|
|
using std::comp_ellint_2l;
|
|
using std::comp_ellint_2;
|
|
|
|
using std::comp_ellint_3f;
|
|
using std::comp_ellint_3l;
|
|
using std::comp_ellint_3;
|
|
|
|
using __gnu_cxx::conf_hypergf;
|
|
using __gnu_cxx::conf_hypergl;
|
|
using __gnu_cxx::conf_hyperg;
|
|
|
|
using std::cyl_bessel_if;
|
|
using std::cyl_bessel_il;
|
|
using std::cyl_bessel_i;
|
|
|
|
using std::cyl_bessel_jf;
|
|
using std::cyl_bessel_jl;
|
|
using std::cyl_bessel_j;
|
|
|
|
using std::cyl_bessel_kf;
|
|
using std::cyl_bessel_kl;
|
|
using std::cyl_bessel_k;
|
|
|
|
using std::cyl_neumannf;
|
|
using std::cyl_neumannl;
|
|
using std::cyl_neumann;
|
|
|
|
using std::ellint_1f;
|
|
using std::ellint_1l;
|
|
using std::ellint_1;
|
|
|
|
using std::ellint_2f;
|
|
using std::ellint_2l;
|
|
using std::ellint_2;
|
|
|
|
using std::ellint_3f;
|
|
using std::ellint_3l;
|
|
using std::ellint_3;
|
|
|
|
using std::expintf;
|
|
using std::expintl;
|
|
using std::expint;
|
|
|
|
using std::hermitef;
|
|
using std::hermitel;
|
|
using std::hermite;
|
|
|
|
using __gnu_cxx::hypergf;
|
|
using __gnu_cxx::hypergl;
|
|
using __gnu_cxx::hyperg;
|
|
|
|
using std::laguerref;
|
|
using std::laguerrel;
|
|
using std::laguerre;
|
|
|
|
using std::legendref;
|
|
using std::legendrel;
|
|
using std::legendre;
|
|
|
|
using std::riemann_zetaf;
|
|
using std::riemann_zetal;
|
|
using std::riemann_zeta;
|
|
|
|
using std::sph_besself;
|
|
using std::sph_bessell;
|
|
using std::sph_bessel;
|
|
|
|
using std::sph_legendref;
|
|
using std::sph_legendrel;
|
|
using std::sph_legendre;
|
|
|
|
using std::sph_neumannf;
|
|
using std::sph_neumannl;
|
|
using std::sph_neumann;
|
|
|
|
/* @} */ // tr1_math_spec_func
|
|
_GLIBCXX_END_NAMESPACE_VERSION
|
|
}
|
|
}
|
|
|
|
#else // ! _GLIBCXX_USE_STD_SPEC_FUNCS
|
|
|
|
#include <bits/stl_algobase.h>
|
|
#include <limits>
|
|
#include <tr1/type_traits>
|
|
|
|
#include <tr1/gamma.tcc>
|
|
#include <tr1/bessel_function.tcc>
|
|
#include <tr1/beta_function.tcc>
|
|
#include <tr1/ell_integral.tcc>
|
|
#include <tr1/exp_integral.tcc>
|
|
#include <tr1/hypergeometric.tcc>
|
|
#include <tr1/legendre_function.tcc>
|
|
#include <tr1/modified_bessel_func.tcc>
|
|
#include <tr1/poly_hermite.tcc>
|
|
#include <tr1/poly_laguerre.tcc>
|
|
#include <tr1/riemann_zeta.tcc>
|
|
|
|
namespace std _GLIBCXX_VISIBILITY(default)
|
|
{
|
|
namespace tr1
|
|
{
|
|
_GLIBCXX_BEGIN_NAMESPACE_VERSION
|
|
|
|
/**
|
|
* @defgroup tr1_math_spec_func Mathematical Special Functions
|
|
* @ingroup numerics
|
|
*
|
|
* A collection of advanced mathematical special functions.
|
|
* @{
|
|
*/
|
|
|
|
inline float
|
|
assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
|
|
{ return __detail::__assoc_laguerre<float>(__n, __m, __x); }
|
|
|
|
inline long double
|
|
assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
|
|
{
|
|
return __detail::__assoc_laguerre<long double>(__n, __m, __x);
|
|
}
|
|
|
|
/// 5.2.1.1 Associated Laguerre polynomials.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__assoc_laguerre<__type>(__n, __m, __x);
|
|
}
|
|
|
|
inline float
|
|
assoc_legendref(unsigned int __l, unsigned int __m, float __x)
|
|
{ return __detail::__assoc_legendre_p<float>(__l, __m, __x); }
|
|
|
|
inline long double
|
|
assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
|
|
{ return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
|
|
|
|
/// 5.2.1.2 Associated Legendre functions.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
|
|
}
|
|
|
|
inline float
|
|
betaf(float __x, float __y)
|
|
{ return __detail::__beta<float>(__x, __y); }
|
|
|
|
inline long double
|
|
betal(long double __x, long double __y)
|
|
{ return __detail::__beta<long double>(__x, __y); }
|
|
|
|
/// 5.2.1.3 Beta functions.
|
|
template<typename _Tpx, typename _Tpy>
|
|
inline typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type
|
|
beta(_Tpx __x, _Tpy __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type;
|
|
return __detail::__beta<__type>(__x, __y);
|
|
}
|
|
|
|
inline float
|
|
comp_ellint_1f(float __k)
|
|
{ return __detail::__comp_ellint_1<float>(__k); }
|
|
|
|
inline long double
|
|
comp_ellint_1l(long double __k)
|
|
{ return __detail::__comp_ellint_1<long double>(__k); }
|
|
|
|
/// 5.2.1.4 Complete elliptic integrals of the first kind.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
comp_ellint_1(_Tp __k)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__comp_ellint_1<__type>(__k);
|
|
}
|
|
|
|
inline float
|
|
comp_ellint_2f(float __k)
|
|
{ return __detail::__comp_ellint_2<float>(__k); }
|
|
|
|
inline long double
|
|
comp_ellint_2l(long double __k)
|
|
{ return __detail::__comp_ellint_2<long double>(__k); }
|
|
|
|
/// 5.2.1.5 Complete elliptic integrals of the second kind.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
comp_ellint_2(_Tp __k)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__comp_ellint_2<__type>(__k);
|
|
}
|
|
|
|
inline float
|
|
comp_ellint_3f(float __k, float __nu)
|
|
{ return __detail::__comp_ellint_3<float>(__k, __nu); }
|
|
|
|
inline long double
|
|
comp_ellint_3l(long double __k, long double __nu)
|
|
{ return __detail::__comp_ellint_3<long double>(__k, __nu); }
|
|
|
|
/// 5.2.1.6 Complete elliptic integrals of the third kind.
|
|
template<typename _Tp, typename _Tpn>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
|
|
comp_ellint_3(_Tp __k, _Tpn __nu)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
|
|
return __detail::__comp_ellint_3<__type>(__k, __nu);
|
|
}
|
|
|
|
inline float
|
|
conf_hypergf(float __a, float __c, float __x)
|
|
{ return __detail::__conf_hyperg<float>(__a, __c, __x); }
|
|
|
|
inline long double
|
|
conf_hypergl(long double __a, long double __c, long double __x)
|
|
{ return __detail::__conf_hyperg<long double>(__a, __c, __x); }
|
|
|
|
/// 5.2.1.7 Confluent hypergeometric functions.
|
|
template<typename _Tpa, typename _Tpc, typename _Tp>
|
|
inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
|
|
conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
|
|
return __detail::__conf_hyperg<__type>(__a, __c, __x);
|
|
}
|
|
|
|
inline float
|
|
cyl_bessel_if(float __nu, float __x)
|
|
{ return __detail::__cyl_bessel_i<float>(__nu, __x); }
|
|
|
|
inline long double
|
|
cyl_bessel_il(long double __nu, long double __x)
|
|
{ return __detail::__cyl_bessel_i<long double>(__nu, __x); }
|
|
|
|
/// 5.2.1.8 Regular modified cylindrical Bessel functions.
|
|
template<typename _Tpnu, typename _Tp>
|
|
inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
|
|
cyl_bessel_i(_Tpnu __nu, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
|
|
return __detail::__cyl_bessel_i<__type>(__nu, __x);
|
|
}
|
|
|
|
inline float
|
|
cyl_bessel_jf(float __nu, float __x)
|
|
{ return __detail::__cyl_bessel_j<float>(__nu, __x); }
|
|
|
|
inline long double
|
|
cyl_bessel_jl(long double __nu, long double __x)
|
|
{ return __detail::__cyl_bessel_j<long double>(__nu, __x); }
|
|
|
|
/// 5.2.1.9 Cylindrical Bessel functions (of the first kind).
|
|
template<typename _Tpnu, typename _Tp>
|
|
inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
|
|
cyl_bessel_j(_Tpnu __nu, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
|
|
return __detail::__cyl_bessel_j<__type>(__nu, __x);
|
|
}
|
|
|
|
inline float
|
|
cyl_bessel_kf(float __nu, float __x)
|
|
{ return __detail::__cyl_bessel_k<float>(__nu, __x); }
|
|
|
|
inline long double
|
|
cyl_bessel_kl(long double __nu, long double __x)
|
|
{ return __detail::__cyl_bessel_k<long double>(__nu, __x); }
|
|
|
|
/// 5.2.1.10 Irregular modified cylindrical Bessel functions.
|
|
template<typename _Tpnu, typename _Tp>
|
|
inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
|
|
cyl_bessel_k(_Tpnu __nu, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
|
|
return __detail::__cyl_bessel_k<__type>(__nu, __x);
|
|
}
|
|
|
|
inline float
|
|
cyl_neumannf(float __nu, float __x)
|
|
{ return __detail::__cyl_neumann_n<float>(__nu, __x); }
|
|
|
|
inline long double
|
|
cyl_neumannl(long double __nu, long double __x)
|
|
{ return __detail::__cyl_neumann_n<long double>(__nu, __x); }
|
|
|
|
/// 5.2.1.11 Cylindrical Neumann functions.
|
|
template<typename _Tpnu, typename _Tp>
|
|
inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
|
|
cyl_neumann(_Tpnu __nu, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
|
|
return __detail::__cyl_neumann_n<__type>(__nu, __x);
|
|
}
|
|
|
|
inline float
|
|
ellint_1f(float __k, float __phi)
|
|
{ return __detail::__ellint_1<float>(__k, __phi); }
|
|
|
|
inline long double
|
|
ellint_1l(long double __k, long double __phi)
|
|
{ return __detail::__ellint_1<long double>(__k, __phi); }
|
|
|
|
/// 5.2.1.12 Incomplete elliptic integrals of the first kind.
|
|
template<typename _Tp, typename _Tpp>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
|
|
ellint_1(_Tp __k, _Tpp __phi)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
|
|
return __detail::__ellint_1<__type>(__k, __phi);
|
|
}
|
|
|
|
inline float
|
|
ellint_2f(float __k, float __phi)
|
|
{ return __detail::__ellint_2<float>(__k, __phi); }
|
|
|
|
inline long double
|
|
ellint_2l(long double __k, long double __phi)
|
|
{ return __detail::__ellint_2<long double>(__k, __phi); }
|
|
|
|
/// 5.2.1.13 Incomplete elliptic integrals of the second kind.
|
|
template<typename _Tp, typename _Tpp>
|
|
inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
|
|
ellint_2(_Tp __k, _Tpp __phi)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
|
|
return __detail::__ellint_2<__type>(__k, __phi);
|
|
}
|
|
|
|
inline float
|
|
ellint_3f(float __k, float __nu, float __phi)
|
|
{ return __detail::__ellint_3<float>(__k, __nu, __phi); }
|
|
|
|
inline long double
|
|
ellint_3l(long double __k, long double __nu, long double __phi)
|
|
{ return __detail::__ellint_3<long double>(__k, __nu, __phi); }
|
|
|
|
/// 5.2.1.14 Incomplete elliptic integrals of the third kind.
|
|
template<typename _Tp, typename _Tpn, typename _Tpp>
|
|
inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
|
|
ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
|
|
{
|
|
typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
|
|
return __detail::__ellint_3<__type>(__k, __nu, __phi);
|
|
}
|
|
|
|
inline float
|
|
expintf(float __x)
|
|
{ return __detail::__expint<float>(__x); }
|
|
|
|
inline long double
|
|
expintl(long double __x)
|
|
{ return __detail::__expint<long double>(__x); }
|
|
|
|
/// 5.2.1.15 Exponential integrals.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
expint(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__expint<__type>(__x);
|
|
}
|
|
|
|
inline float
|
|
hermitef(unsigned int __n, float __x)
|
|
{ return __detail::__poly_hermite<float>(__n, __x); }
|
|
|
|
inline long double
|
|
hermitel(unsigned int __n, long double __x)
|
|
{ return __detail::__poly_hermite<long double>(__n, __x); }
|
|
|
|
/// 5.2.1.16 Hermite polynomials.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
hermite(unsigned int __n, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__poly_hermite<__type>(__n, __x);
|
|
}
|
|
|
|
inline float
|
|
hypergf(float __a, float __b, float __c, float __x)
|
|
{ return __detail::__hyperg<float>(__a, __b, __c, __x); }
|
|
|
|
inline long double
|
|
hypergl(long double __a, long double __b, long double __c, long double __x)
|
|
{ return __detail::__hyperg<long double>(__a, __b, __c, __x); }
|
|
|
|
/// 5.2.1.17 Hypergeometric functions.
|
|
template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
|
|
inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
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hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
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|
{
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typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
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return __detail::__hyperg<__type>(__a, __b, __c, __x);
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}
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|
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inline float
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|
laguerref(unsigned int __n, float __x)
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|
{ return __detail::__laguerre<float>(__n, __x); }
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|
|
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inline long double
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|
laguerrel(unsigned int __n, long double __x)
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|
{ return __detail::__laguerre<long double>(__n, __x); }
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|
|
|
/// 5.2.1.18 Laguerre polynomials.
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|
template<typename _Tp>
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|
inline typename __gnu_cxx::__promote<_Tp>::__type
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|
laguerre(unsigned int __n, _Tp __x)
|
|
{
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|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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|
return __detail::__laguerre<__type>(__n, __x);
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|
}
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|
|
|
inline float
|
|
legendref(unsigned int __n, float __x)
|
|
{ return __detail::__poly_legendre_p<float>(__n, __x); }
|
|
|
|
inline long double
|
|
legendrel(unsigned int __n, long double __x)
|
|
{ return __detail::__poly_legendre_p<long double>(__n, __x); }
|
|
|
|
/// 5.2.1.19 Legendre polynomials.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
legendre(unsigned int __n, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__poly_legendre_p<__type>(__n, __x);
|
|
}
|
|
|
|
inline float
|
|
riemann_zetaf(float __x)
|
|
{ return __detail::__riemann_zeta<float>(__x); }
|
|
|
|
inline long double
|
|
riemann_zetal(long double __x)
|
|
{ return __detail::__riemann_zeta<long double>(__x); }
|
|
|
|
/// 5.2.1.20 Riemann zeta function.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
riemann_zeta(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__riemann_zeta<__type>(__x);
|
|
}
|
|
|
|
inline float
|
|
sph_besself(unsigned int __n, float __x)
|
|
{ return __detail::__sph_bessel<float>(__n, __x); }
|
|
|
|
inline long double
|
|
sph_bessell(unsigned int __n, long double __x)
|
|
{ return __detail::__sph_bessel<long double>(__n, __x); }
|
|
|
|
/// 5.2.1.21 Spherical Bessel functions.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
sph_bessel(unsigned int __n, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__sph_bessel<__type>(__n, __x);
|
|
}
|
|
|
|
inline float
|
|
sph_legendref(unsigned int __l, unsigned int __m, float __theta)
|
|
{ return __detail::__sph_legendre<float>(__l, __m, __theta); }
|
|
|
|
inline long double
|
|
sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
|
|
{ return __detail::__sph_legendre<long double>(__l, __m, __theta); }
|
|
|
|
/// 5.2.1.22 Spherical associated Legendre functions.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__sph_legendre<__type>(__l, __m, __theta);
|
|
}
|
|
|
|
inline float
|
|
sph_neumannf(unsigned int __n, float __x)
|
|
{ return __detail::__sph_neumann<float>(__n, __x); }
|
|
|
|
inline long double
|
|
sph_neumannl(unsigned int __n, long double __x)
|
|
{ return __detail::__sph_neumann<long double>(__n, __x); }
|
|
|
|
/// 5.2.1.23 Spherical Neumann functions.
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
sph_neumann(unsigned int __n, _Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return __detail::__sph_neumann<__type>(__n, __x);
|
|
}
|
|
|
|
/* @} */ // tr1_math_spec_func
|
|
_GLIBCXX_END_NAMESPACE_VERSION
|
|
}
|
|
}
|
|
#endif // _GLIBCXX_USE_STD_SPEC_FUNCS
|
|
|
|
#endif // _GLIBCXX_TR1_CMATH
|