903 lines
19 KiB
C++
903 lines
19 KiB
C++
// TR1 cmath -*- C++ -*-
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// Copyright (C) 2007, 2009 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_impl/cmath
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* This is an internal header file, included by other library headers.
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* You should not attempt to use it directly.
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*/
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#if _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
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{
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_GLIBCXX_BEGIN_NAMESPACE_TR1
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#if _GLIBCXX_USE_C99_MATH_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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using std::signbit;
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using std::fpclassify;
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using std::isfinite;
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using std::isinf;
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using std::isnan;
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using std::isnormal;
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using std::isgreater;
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using std::isgreaterequal;
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using std::isless;
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using std::islessequal;
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using std::islessgreater;
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using std::isunordered;
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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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using std::acos;
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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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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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acosh(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return acosh(__type(__x));
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}
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using std::asin;
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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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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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asinh(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return asinh(__type(__x));
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}
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using std::atan;
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using std::atan2;
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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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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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atanh(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return atanh(__type(__x));
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}
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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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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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cbrt(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return cbrt(__type(__x));
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}
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using std::ceil;
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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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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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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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using std::cos;
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using std::cosh;
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inline float
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erf(float __x)
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{ return __builtin_erff(__x); }
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inline long double
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erf(long double __x)
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{ return __builtin_erfl(__x); }
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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erf(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return erf(__type(__x));
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}
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inline float
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erfc(float __x)
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{ return __builtin_erfcf(__x); }
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inline long double
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erfc(long double __x)
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{ return __builtin_erfcl(__x); }
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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erfc(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return erfc(__type(__x));
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}
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using std::exp;
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inline float
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exp2(float __x)
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{ return __builtin_exp2f(__x); }
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inline long double
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exp2(long double __x)
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{ return __builtin_exp2l(__x); }
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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exp2(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return exp2(__type(__x));
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}
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inline float
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expm1(float __x)
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{ return __builtin_expm1f(__x); }
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inline long double
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expm1(long double __x)
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{ return __builtin_expm1l(__x); }
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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expm1(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return expm1(__type(__x));
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}
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using std::fabs;
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inline float
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fdim(float __x, float __y)
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{ return __builtin_fdimf(__x, __y); }
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inline long double
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fdim(long double __x, long double __y)
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{ return __builtin_fdiml(__x, __y); }
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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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fdim(_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 fdim(__type(__x), __type(__y));
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}
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using std::floor;
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inline float
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fma(float __x, float __y, float __z)
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{ return __builtin_fmaf(__x, __y, __z); }
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inline long double
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fma(long double __x, long double __y, long double __z)
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{ return __builtin_fmal(__x, __y, __z); }
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template<typename _Tp, typename _Up, typename _Vp>
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inline typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
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fma(_Tp __x, _Up __y, _Vp __z)
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{
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typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
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return fma(__type(__x), __type(__y), __type(__z));
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}
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inline float
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fmax(float __x, float __y)
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{ return __builtin_fmaxf(__x, __y); }
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inline long double
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fmax(long double __x, long double __y)
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{ return __builtin_fmaxl(__x, __y); }
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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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fmax(_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 fmax(__type(__x), __type(__y));
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}
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inline float
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fmin(float __x, float __y)
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{ return __builtin_fminf(__x, __y); }
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inline long double
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fmin(long double __x, long double __y)
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{ return __builtin_fminl(__x, __y); }
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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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fmin(_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 fmin(__type(__x), __type(__y));
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}
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using std::fmod;
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using std::frexp;
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inline float
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hypot(float __x, float __y)
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{ return __builtin_hypotf(__x, __y); }
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inline long double
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hypot(long double __x, long double __y)
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{ return __builtin_hypotl(__x, __y); }
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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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hypot(_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 hypot(__type(__x), __type(__y));
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}
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inline int
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ilogb(float __x)
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{ return __builtin_ilogbf(__x); }
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inline int
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ilogb(long double __x)
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{ return __builtin_ilogbl(__x); }
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template<typename _Tp>
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inline int
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ilogb(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return ilogb(__type(__x));
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}
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using std::ldexp;
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inline float
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lgamma(float __x)
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{ return __builtin_lgammaf(__x); }
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inline long double
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lgamma(long double __x)
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{ return __builtin_lgammal(__x); }
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template<typename _Tp>
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inline typename __gnu_cxx::__promote<_Tp>::__type
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lgamma(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return lgamma(__type(__x));
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}
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inline long long
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llrint(float __x)
|
|
{ return __builtin_llrintf(__x); }
|
|
|
|
inline long long
|
|
llrint(long double __x)
|
|
{ return __builtin_llrintl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline long long
|
|
llrint(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return llrint(__type(__x));
|
|
}
|
|
|
|
inline long long
|
|
llround(float __x)
|
|
{ return __builtin_llroundf(__x); }
|
|
|
|
inline long long
|
|
llround(long double __x)
|
|
{ return __builtin_llroundl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline long long
|
|
llround(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return llround(__type(__x));
|
|
}
|
|
|
|
using std::log;
|
|
using std::log10;
|
|
|
|
inline float
|
|
log1p(float __x)
|
|
{ return __builtin_log1pf(__x); }
|
|
|
|
inline long double
|
|
log1p(long double __x)
|
|
{ return __builtin_log1pl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
log1p(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return log1p(__type(__x));
|
|
}
|
|
|
|
// DR 568.
|
|
inline float
|
|
log2(float __x)
|
|
{ return __builtin_log2f(__x); }
|
|
|
|
inline long double
|
|
log2(long double __x)
|
|
{ return __builtin_log2l(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
log2(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return log2(__type(__x));
|
|
}
|
|
|
|
inline float
|
|
logb(float __x)
|
|
{ return __builtin_logbf(__x); }
|
|
|
|
inline long double
|
|
logb(long double __x)
|
|
{ return __builtin_logbl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
logb(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return logb(__type(__x));
|
|
}
|
|
|
|
inline long
|
|
lrint(float __x)
|
|
{ return __builtin_lrintf(__x); }
|
|
|
|
inline long
|
|
lrint(long double __x)
|
|
{ return __builtin_lrintl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline long
|
|
lrint(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return lrint(__type(__x));
|
|
}
|
|
|
|
inline long
|
|
lround(float __x)
|
|
{ return __builtin_lroundf(__x); }
|
|
|
|
inline long
|
|
lround(long double __x)
|
|
{ return __builtin_lroundl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline long
|
|
lround(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return lround(__type(__x));
|
|
}
|
|
|
|
inline float
|
|
nearbyint(float __x)
|
|
{ return __builtin_nearbyintf(__x); }
|
|
|
|
inline long double
|
|
nearbyint(long double __x)
|
|
{ return __builtin_nearbyintl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
nearbyint(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return nearbyint(__type(__x));
|
|
}
|
|
|
|
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); }
|
|
|
|
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));
|
|
}
|
|
|
|
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); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
nexttoward(_Tp __x, long double __y)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return nexttoward(__type(__x), __y);
|
|
}
|
|
|
|
// DR 550. What should the return type of pow(float,int) be?
|
|
// NB: C++0x and TR1 != C++03.
|
|
// using std::pow;
|
|
|
|
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); }
|
|
|
|
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));
|
|
}
|
|
|
|
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); }
|
|
|
|
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);
|
|
}
|
|
|
|
inline float
|
|
rint(float __x)
|
|
{ return __builtin_rintf(__x); }
|
|
|
|
inline long double
|
|
rint(long double __x)
|
|
{ return __builtin_rintl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
rint(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return rint(__type(__x));
|
|
}
|
|
|
|
inline float
|
|
round(float __x)
|
|
{ return __builtin_roundf(__x); }
|
|
|
|
inline long double
|
|
round(long double __x)
|
|
{ return __builtin_roundl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
round(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return round(__type(__x));
|
|
}
|
|
|
|
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); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
scalbln(_Tp __x, long __ex)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return scalbln(__type(__x), __ex);
|
|
}
|
|
|
|
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); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
scalbn(_Tp __x, int __ex)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return scalbn(__type(__x), __ex);
|
|
}
|
|
|
|
using std::sin;
|
|
using std::sinh;
|
|
using std::sqrt;
|
|
using std::tan;
|
|
using std::tanh;
|
|
|
|
inline float
|
|
tgamma(float __x)
|
|
{ return __builtin_tgammaf(__x); }
|
|
|
|
inline long double
|
|
tgamma(long double __x)
|
|
{ return __builtin_tgammal(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
tgamma(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return tgamma(__type(__x));
|
|
}
|
|
|
|
inline float
|
|
trunc(float __x)
|
|
{ return __builtin_truncf(__x); }
|
|
|
|
inline long double
|
|
trunc(long double __x)
|
|
{ return __builtin_truncl(__x); }
|
|
|
|
template<typename _Tp>
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
|
trunc(_Tp __x)
|
|
{
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
|
return trunc(__type(__x));
|
|
}
|
|
|
|
#endif
|
|
|
|
_GLIBCXX_END_NAMESPACE_TR1
|
|
}
|