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- // TR1 cmath -*- C++ -*-
-
- // Copyright (C) 2006-2020 Free Software Foundation, Inc.
- //
- // This file is part of the GNU ISO C++ Library. This library is free
- // software; you can redistribute it and/or modify it under the
- // terms of the GNU General Public License as published by the
- // Free Software Foundation; either version 3, or (at your option)
- // any later version.
-
- // This library is distributed in the hope that it will be useful,
- // but WITHOUT ANY WARRANTY; without even the implied warranty of
- // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- // GNU General Public License for more details.
-
- // Under Section 7 of GPL version 3, you are granted additional
- // permissions described in the GCC Runtime Library Exception, version
- // 3.1, as published by the Free Software Foundation.
-
- // You should have received a copy of the GNU General Public License and
- // a copy of the GCC Runtime Library Exception along with this program;
- // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
- // <http://www.gnu.org/licenses/>.
-
- /** @file tr1/cmath
- * This is a TR1 C++ Library header.
- */
-
- #ifndef _GLIBCXX_TR1_CMATH
- #define _GLIBCXX_TR1_CMATH 1
-
- #pragma GCC system_header
-
- #include <cmath>
-
- #ifdef _GLIBCXX_USE_C99_MATH_TR1
-
- #undef acosh
- #undef acoshf
- #undef acoshl
- #undef asinh
- #undef asinhf
- #undef asinhl
- #undef atanh
- #undef atanhf
- #undef atanhl
- #undef cbrt
- #undef cbrtf
- #undef cbrtl
- #undef copysign
- #undef copysignf
- #undef copysignl
- #undef erf
- #undef erff
- #undef erfl
- #undef erfc
- #undef erfcf
- #undef erfcl
- #undef exp2
- #undef exp2f
- #undef exp2l
- #undef expm1
- #undef expm1f
- #undef expm1l
- #undef fdim
- #undef fdimf
- #undef fdiml
- #undef fma
- #undef fmaf
- #undef fmal
- #undef fmax
- #undef fmaxf
- #undef fmaxl
- #undef fmin
- #undef fminf
- #undef fminl
- #undef hypot
- #undef hypotf
- #undef hypotl
- #undef ilogb
- #undef ilogbf
- #undef ilogbl
- #undef lgamma
- #undef lgammaf
- #undef lgammal
- #undef llrint
- #undef llrintf
- #undef llrintl
- #undef llround
- #undef llroundf
- #undef llroundl
- #undef log1p
- #undef log1pf
- #undef log1pl
- #undef log2
- #undef log2f
- #undef log2l
- #undef logb
- #undef logbf
- #undef logbl
- #undef lrint
- #undef lrintf
- #undef lrintl
- #undef lround
- #undef lroundf
- #undef lroundl
- #undef nan
- #undef nanf
- #undef nanl
- #undef nearbyint
- #undef nearbyintf
- #undef nearbyintl
- #undef nextafter
- #undef nextafterf
- #undef nextafterl
- #undef nexttoward
- #undef nexttowardf
- #undef nexttowardl
- #undef remainder
- #undef remainderf
- #undef remainderl
- #undef remquo
- #undef remquof
- #undef remquol
- #undef rint
- #undef rintf
- #undef rintl
- #undef round
- #undef roundf
- #undef roundl
- #undef scalbln
- #undef scalblnf
- #undef scalblnl
- #undef scalbn
- #undef scalbnf
- #undef scalbnl
- #undef tgamma
- #undef tgammaf
- #undef tgammal
- #undef trunc
- #undef truncf
- #undef truncl
-
- #endif
-
- namespace std _GLIBCXX_VISIBILITY(default)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
-
- namespace tr1
- {
- #if _GLIBCXX_USE_C99_MATH_TR1
-
- // Using declarations to bring names from libc's <math.h> into std::tr1.
-
- // types
- using ::double_t;
- using ::float_t;
-
- // functions
- using ::acosh;
- using ::acoshf;
- using ::acoshl;
-
- using ::asinh;
- using ::asinhf;
- using ::asinhl;
-
- using ::atanh;
- using ::atanhf;
- using ::atanhl;
-
- using ::cbrt;
- using ::cbrtf;
- using ::cbrtl;
-
- using ::copysign;
- using ::copysignf;
- using ::copysignl;
-
- using ::erf;
- using ::erff;
- using ::erfl;
-
- using ::erfc;
- using ::erfcf;
- using ::erfcl;
-
- using ::exp2;
- using ::exp2f;
- using ::exp2l;
-
- using ::expm1;
- using ::expm1f;
- using ::expm1l;
-
- using ::fdim;
- using ::fdimf;
- using ::fdiml;
-
- using ::fma;
- using ::fmaf;
- using ::fmal;
-
- using ::fmax;
- using ::fmaxf;
- using ::fmaxl;
-
- using ::fmin;
- using ::fminf;
- using ::fminl;
-
- using ::hypot;
- using ::hypotf;
- using ::hypotl;
-
- using ::ilogb;
- using ::ilogbf;
- using ::ilogbl;
-
- using ::lgamma;
- using ::lgammaf;
- using ::lgammal;
-
- using ::llrint;
- using ::llrintf;
- using ::llrintl;
-
- using ::llround;
- using ::llroundf;
- using ::llroundl;
-
- using ::log1p;
- using ::log1pf;
- using ::log1pl;
-
- using ::log2;
- using ::log2f;
- using ::log2l;
-
- using ::logb;
- using ::logbf;
- using ::logbl;
-
- using ::lrint;
- using ::lrintf;
- using ::lrintl;
-
- using ::lround;
- using ::lroundf;
- using ::lroundl;
-
- using ::nan;
- using ::nanf;
- using ::nanl;
-
- using ::nearbyint;
- using ::nearbyintf;
- using ::nearbyintl;
-
- using ::nextafter;
- using ::nextafterf;
- using ::nextafterl;
-
- using ::nexttoward;
- using ::nexttowardf;
- using ::nexttowardl;
-
- using ::remainder;
- using ::remainderf;
- using ::remainderl;
-
- using ::remquo;
- using ::remquof;
- using ::remquol;
-
- using ::rint;
- using ::rintf;
- using ::rintl;
-
- using ::round;
- using ::roundf;
- using ::roundl;
-
- using ::scalbln;
- using ::scalblnf;
- using ::scalblnl;
-
- using ::scalbn;
- using ::scalbnf;
- using ::scalbnl;
-
- using ::tgamma;
- using ::tgammaf;
- using ::tgammal;
-
- using ::trunc;
- using ::truncf;
- using ::truncl;
-
- #endif
-
- #if _GLIBCXX_USE_C99_MATH
- #if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
-
- /// Function template definitions [8.16.3].
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- fpclassify(_Tp __f)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
- FP_SUBNORMAL, FP_ZERO, __type(__f));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isfinite(_Tp __f)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isfinite(__type(__f));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isinf(_Tp __f)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isinf(__type(__f));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isnan(_Tp __f)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isnan(__type(__f));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isnormal(_Tp __f)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isnormal(__type(__f));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- signbit(_Tp __f)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_signbit(__type(__f));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isgreater(_Tp __f1, _Tp __f2)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isgreater(__type(__f1), __type(__f2));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isgreaterequal(_Tp __f1, _Tp __f2)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isgreaterequal(__type(__f1), __type(__f2));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isless(_Tp __f1, _Tp __f2)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isless(__type(__f1), __type(__f2));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- islessequal(_Tp __f1, _Tp __f2)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_islessequal(__type(__f1), __type(__f2));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- islessgreater(_Tp __f1, _Tp __f2)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_islessgreater(__type(__f1), __type(__f2));
- }
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
- int>::__type
- isunordered(_Tp __f1, _Tp __f2)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __builtin_isunordered(__type(__f1), __type(__f2));
- }
-
- #endif
- #endif
-
- #if _GLIBCXX_USE_C99_MATH_TR1
-
- /** Additional overloads [8.16.4].
- * @{
- */
-
- // For functions defined in C++03 the additional overloads are already
- // declared in <cmath> so we can just re-declare them in std::tr1.
-
- using std::acos;
- using std::asin;
- using std::atan;
- using std::atan2;
- using std::ceil;
- using std::cos;
- using std::cosh;
- using std::exp;
- using std::floor;
- using std::fmod;
- using std::frexp;
- using std::ldexp;
- using std::log;
- using std::log10;
- using std::sin;
- using std::sinh;
- using std::sqrt;
- using std::tan;
- using std::tanh;
-
- #if __cplusplus >= 201103L
-
- // Since C++11, <cmath> defines additional overloads for these functions
- // in namespace std.
-
- using std::acosh;
- using std::asinh;
- using std::atanh;
- using std::cbrt;
- using std::copysign;
- using std::erf;
- using std::erfc;
- using std::exp2;
- using std::expm1;
- using std::fdim;
- using std::fma;
- using std::fmax;
- using std::fmin;
- using std::hypot;
- using std::ilogb;
- using std::lgamma;
- using std::llrint;
- using std::llround;
- using std::log1p;
- using std::log2;
- using std::logb;
- using std::lrint;
- using std::lround;
- using std::nan;
- using std::nearbyint;
- using std::nextafter;
- using std::nexttoward;
- using std::remainder;
- using std::remquo;
- using std::rint;
- using std::round;
- using std::scalbln;
- using std::scalbn;
- using std::tgamma;
- using std::trunc;
-
- #else // __cplusplus < 201103L
-
- // In C++03 we need to provide the additional overloads.
-
- #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
- inline float
- acosh(float __x)
- { return __builtin_acoshf(__x); }
-
- inline long double
- acosh(long double __x)
- { return __builtin_acoshl(__x); }
- #endif
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
- double>::__type
- acosh(_Tp __x)
- { return __builtin_acosh(__x); }
-
- #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
- inline float
- asinh(float __x)
- { return __builtin_asinhf(__x); }
-
- inline long double
- asinh(long double __x)
- { return __builtin_asinhl(__x); }
- #endif
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
- double>::__type
- asinh(_Tp __x)
- { return __builtin_asinh(__x); }
-
- #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
- inline float
- atanh(float __x)
- { return __builtin_atanhf(__x); }
-
- inline long double
- atanh(long double __x)
- { return __builtin_atanhl(__x); }
- #endif
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
- double>::__type
- atanh(_Tp __x)
- { return __builtin_atanh(__x); }
-
- #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
- inline float
- cbrt(float __x)
- { return __builtin_cbrtf(__x); }
-
- inline long double
- cbrt(long double __x)
- { return __builtin_cbrtl(__x); }
- #endif
-
- template<typename _Tp>
- inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
- double>::__type
- cbrt(_Tp __x)
- { return __builtin_cbrt(__x); }
-
- #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
- inline float
- copysign(float __x, float __y)
- { return __builtin_copysignf(__x, __y); }
-
- inline long double
- copysign(long double __x, long double __y)
- { return __builtin_copysignl(__x, __y); }
- #endif
-
- template<typename _Tp, typename _Up>
- inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
- copysign(_Tp __x, _Up __y)
- {
- typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
- return copysign(__type(__x), __type(__y));
- }
-
- #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
- inline float
- erf(float __x)
- { return __builtin_erff(__x); }
-
- 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_USE_C99_MATH_TR1 */
-
- // 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
-
- } // namespace tr1
- _GLIBCXX_END_NAMESPACE_VERSION
- } // namespace std
-
- /**
- * @defgroup tr1_math_spec_func TR1 Mathematical Special Functions
- * @ingroup numerics
- *
- * A collection of advanced mathematical special functions.
- */
-
- #if _GLIBCXX_USE_STD_SPEC_FUNCS
-
- namespace std _GLIBCXX_VISIBILITY(default)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
-
- namespace tr1
- {
- 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 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 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;
-
- } // namespace tr1
- _GLIBCXX_END_NAMESPACE_VERSION
- } // namespace std
-
- #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/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)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
- namespace tr1
- {
- /** @addtogroup tr1_math_spec_func
- * @{
- */
-
- 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
- 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
- laguerref(unsigned int __n, float __x)
- { return __detail::__laguerre<float>(__n, __x); }
-
- inline long double
- laguerrel(unsigned int __n, long double __x)
- { return __detail::__laguerre<long double>(__n, __x); }
-
- /// 5.2.1.18 Laguerre polynomials.
- template<typename _Tp>
- inline typename __gnu_cxx::__promote<_Tp>::__type
- laguerre(unsigned int __n, _Tp __x)
- {
- typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
- return __detail::__laguerre<__type>(__n, __x);
- }
-
- 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
-
- } // namespace tr1
-
- _GLIBCXX_END_NAMESPACE_VERSION
- } // namespace std
-
- #endif // _GLIBCXX_USE_STD_SPEC_FUNCS
-
- #if _GLIBCXX_USE_STD_SPEC_FUNCS && !defined(__STRICT_ANSI__)
- namespace std _GLIBCXX_VISIBILITY(default)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
-
- namespace tr1
- {
- using __gnu_cxx::conf_hypergf;
- using __gnu_cxx::conf_hypergl;
- using __gnu_cxx::conf_hyperg;
-
- using __gnu_cxx::hypergf;
- using __gnu_cxx::hypergl;
- using __gnu_cxx::hyperg;
- } // namespace tr1
-
- _GLIBCXX_END_NAMESPACE_VERSION
- } // namespace std
-
- #else // ! (_GLIBCXX_USE_STD_SPEC_FUNCS && !defined(__STRICT_ANSI__))
-
- #include <bits/stl_algobase.h>
- #include <limits>
- #include <tr1/type_traits>
-
- #include <tr1/hypergeometric.tcc>
-
- namespace std _GLIBCXX_VISIBILITY(default)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
-
- namespace tr1
- {
- /** @addtogroup tr1_math_spec_func
- * @{
- */
-
- 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
- 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
- hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
- {
- typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
- return __detail::__hyperg<__type>(__a, __b, __c, __x);
- }
-
- // @} tr1_math_spec_func
-
- } // namespace tr1
-
- _GLIBCXX_END_NAMESPACE_VERSION
- } // namespace std
- #endif // _GLIBCXX_USE_STD_SPEC_FUNCS && !defined(__STRICT_ANSI__)
-
- #endif // _GLIBCXX_TR1_CMATH
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