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-rw-r--r--lib/libcxx/include/complex1496
1 files changed, 0 insertions, 1496 deletions
diff --git a/lib/libcxx/include/complex b/lib/libcxx/include/complex
deleted file mode 100644
index 8cf6a946d71..00000000000
--- a/lib/libcxx/include/complex
+++ /dev/null
@@ -1,1496 +0,0 @@
-// -*- C++ -*-
-//===--------------------------- complex ----------------------------------===//
-//
-// The LLVM Compiler Infrastructure
-//
-// This file is dual licensed under the MIT and the University of Illinois Open
-// Source Licenses. See LICENSE.TXT for details.
-//
-//===----------------------------------------------------------------------===//
-
-#ifndef _LIBCPP_COMPLEX
-#define _LIBCPP_COMPLEX
-
-/*
- complex synopsis
-
-namespace std
-{
-
-template<class T>
-class complex
-{
-public:
- typedef T value_type;
-
- complex(const T& re = T(), const T& im = T()); // constexpr in C++14
- complex(const complex&); // constexpr in C++14
- template<class X> complex(const complex<X>&); // constexpr in C++14
-
- T real() const; // constexpr in C++14
- T imag() const; // constexpr in C++14
-
- void real(T);
- void imag(T);
-
- complex<T>& operator= (const T&);
- complex<T>& operator+=(const T&);
- complex<T>& operator-=(const T&);
- complex<T>& operator*=(const T&);
- complex<T>& operator/=(const T&);
-
- complex& operator=(const complex&);
- template<class X> complex<T>& operator= (const complex<X>&);
- template<class X> complex<T>& operator+=(const complex<X>&);
- template<class X> complex<T>& operator-=(const complex<X>&);
- template<class X> complex<T>& operator*=(const complex<X>&);
- template<class X> complex<T>& operator/=(const complex<X>&);
-};
-
-template<>
-class complex<float>
-{
-public:
- typedef float value_type;
-
- constexpr complex(float re = 0.0f, float im = 0.0f);
- explicit constexpr complex(const complex<double>&);
- explicit constexpr complex(const complex<long double>&);
-
- constexpr float real() const;
- void real(float);
- constexpr float imag() const;
- void imag(float);
-
- complex<float>& operator= (float);
- complex<float>& operator+=(float);
- complex<float>& operator-=(float);
- complex<float>& operator*=(float);
- complex<float>& operator/=(float);
-
- complex<float>& operator=(const complex<float>&);
- template<class X> complex<float>& operator= (const complex<X>&);
- template<class X> complex<float>& operator+=(const complex<X>&);
- template<class X> complex<float>& operator-=(const complex<X>&);
- template<class X> complex<float>& operator*=(const complex<X>&);
- template<class X> complex<float>& operator/=(const complex<X>&);
-};
-
-template<>
-class complex<double>
-{
-public:
- typedef double value_type;
-
- constexpr complex(double re = 0.0, double im = 0.0);
- constexpr complex(const complex<float>&);
- explicit constexpr complex(const complex<long double>&);
-
- constexpr double real() const;
- void real(double);
- constexpr double imag() const;
- void imag(double);
-
- complex<double>& operator= (double);
- complex<double>& operator+=(double);
- complex<double>& operator-=(double);
- complex<double>& operator*=(double);
- complex<double>& operator/=(double);
- complex<double>& operator=(const complex<double>&);
-
- template<class X> complex<double>& operator= (const complex<X>&);
- template<class X> complex<double>& operator+=(const complex<X>&);
- template<class X> complex<double>& operator-=(const complex<X>&);
- template<class X> complex<double>& operator*=(const complex<X>&);
- template<class X> complex<double>& operator/=(const complex<X>&);
-};
-
-template<>
-class complex<long double>
-{
-public:
- typedef long double value_type;
-
- constexpr complex(long double re = 0.0L, long double im = 0.0L);
- constexpr complex(const complex<float>&);
- constexpr complex(const complex<double>&);
-
- constexpr long double real() const;
- void real(long double);
- constexpr long double imag() const;
- void imag(long double);
-
- complex<long double>& operator=(const complex<long double>&);
- complex<long double>& operator= (long double);
- complex<long double>& operator+=(long double);
- complex<long double>& operator-=(long double);
- complex<long double>& operator*=(long double);
- complex<long double>& operator/=(long double);
-
- template<class X> complex<long double>& operator= (const complex<X>&);
- template<class X> complex<long double>& operator+=(const complex<X>&);
- template<class X> complex<long double>& operator-=(const complex<X>&);
- template<class X> complex<long double>& operator*=(const complex<X>&);
- template<class X> complex<long double>& operator/=(const complex<X>&);
-};
-
-// 26.3.6 operators:
-template<class T> complex<T> operator+(const complex<T>&, const complex<T>&);
-template<class T> complex<T> operator+(const complex<T>&, const T&);
-template<class T> complex<T> operator+(const T&, const complex<T>&);
-template<class T> complex<T> operator-(const complex<T>&, const complex<T>&);
-template<class T> complex<T> operator-(const complex<T>&, const T&);
-template<class T> complex<T> operator-(const T&, const complex<T>&);
-template<class T> complex<T> operator*(const complex<T>&, const complex<T>&);
-template<class T> complex<T> operator*(const complex<T>&, const T&);
-template<class T> complex<T> operator*(const T&, const complex<T>&);
-template<class T> complex<T> operator/(const complex<T>&, const complex<T>&);
-template<class T> complex<T> operator/(const complex<T>&, const T&);
-template<class T> complex<T> operator/(const T&, const complex<T>&);
-template<class T> complex<T> operator+(const complex<T>&);
-template<class T> complex<T> operator-(const complex<T>&);
-template<class T> bool operator==(const complex<T>&, const complex<T>&); // constexpr in C++14
-template<class T> bool operator==(const complex<T>&, const T&); // constexpr in C++14
-template<class T> bool operator==(const T&, const complex<T>&); // constexpr in C++14
-template<class T> bool operator!=(const complex<T>&, const complex<T>&); // constexpr in C++14
-template<class T> bool operator!=(const complex<T>&, const T&); // constexpr in C++14
-template<class T> bool operator!=(const T&, const complex<T>&); // constexpr in C++14
-
-template<class T, class charT, class traits>
- basic_istream<charT, traits>&
- operator>>(basic_istream<charT, traits>&, complex<T>&);
-template<class T, class charT, class traits>
- basic_ostream<charT, traits>&
- operator<<(basic_ostream<charT, traits>&, const complex<T>&);
-
-// 26.3.7 values:
-
-template<class T> T real(const complex<T>&); // constexpr in C++14
- long double real(long double); // constexpr in C++14
- double real(double); // constexpr in C++14
-template<Integral T> double real(T); // constexpr in C++14
- float real(float); // constexpr in C++14
-
-template<class T> T imag(const complex<T>&); // constexpr in C++14
- long double imag(long double); // constexpr in C++14
- double imag(double); // constexpr in C++14
-template<Integral T> double imag(T); // constexpr in C++14
- float imag(float); // constexpr in C++14
-
-template<class T> T abs(const complex<T>&);
-
-template<class T> T arg(const complex<T>&);
- long double arg(long double);
- double arg(double);
-template<Integral T> double arg(T);
- float arg(float);
-
-template<class T> T norm(const complex<T>&);
- long double norm(long double);
- double norm(double);
-template<Integral T> double norm(T);
- float norm(float);
-
-template<class T> complex<T> conj(const complex<T>&);
- complex<long double> conj(long double);
- complex<double> conj(double);
-template<Integral T> complex<double> conj(T);
- complex<float> conj(float);
-
-template<class T> complex<T> proj(const complex<T>&);
- complex<long double> proj(long double);
- complex<double> proj(double);
-template<Integral T> complex<double> proj(T);
- complex<float> proj(float);
-
-template<class T> complex<T> polar(const T&, const T& = T());
-
-// 26.3.8 transcendentals:
-template<class T> complex<T> acos(const complex<T>&);
-template<class T> complex<T> asin(const complex<T>&);
-template<class T> complex<T> atan(const complex<T>&);
-template<class T> complex<T> acosh(const complex<T>&);
-template<class T> complex<T> asinh(const complex<T>&);
-template<class T> complex<T> atanh(const complex<T>&);
-template<class T> complex<T> cos (const complex<T>&);
-template<class T> complex<T> cosh (const complex<T>&);
-template<class T> complex<T> exp (const complex<T>&);
-template<class T> complex<T> log (const complex<T>&);
-template<class T> complex<T> log10(const complex<T>&);
-
-template<class T> complex<T> pow(const complex<T>&, const T&);
-template<class T> complex<T> pow(const complex<T>&, const complex<T>&);
-template<class T> complex<T> pow(const T&, const complex<T>&);
-
-template<class T> complex<T> sin (const complex<T>&);
-template<class T> complex<T> sinh (const complex<T>&);
-template<class T> complex<T> sqrt (const complex<T>&);
-template<class T> complex<T> tan (const complex<T>&);
-template<class T> complex<T> tanh (const complex<T>&);
-
-template<class T, class charT, class traits>
- basic_istream<charT, traits>&
- operator>>(basic_istream<charT, traits>& is, complex<T>& x);
-
-template<class T, class charT, class traits>
- basic_ostream<charT, traits>&
- operator<<(basic_ostream<charT, traits>& o, const complex<T>& x);
-
-} // std
-
-*/
-
-#include <__config>
-#include <type_traits>
-#include <stdexcept>
-#include <cmath>
-#include <sstream>
-#include <version>
-
-#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
-#pragma GCC system_header
-#endif
-
-_LIBCPP_BEGIN_NAMESPACE_STD
-
-template<class _Tp> class _LIBCPP_TEMPLATE_VIS complex;
-
-template<class _Tp> complex<_Tp> operator*(const complex<_Tp>& __z, const complex<_Tp>& __w);
-template<class _Tp> complex<_Tp> operator/(const complex<_Tp>& __x, const complex<_Tp>& __y);
-
-template<class _Tp>
-class _LIBCPP_TEMPLATE_VIS complex
-{
-public:
- typedef _Tp value_type;
-private:
- value_type __re_;
- value_type __im_;
-public:
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
- complex(const value_type& __re = value_type(), const value_type& __im = value_type())
- : __re_(__re), __im_(__im) {}
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
- complex(const complex<_Xp>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 value_type real() const {return __re_;}
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 value_type imag() const {return __im_;}
-
- _LIBCPP_INLINE_VISIBILITY void real(value_type __re) {__re_ = __re;}
- _LIBCPP_INLINE_VISIBILITY void imag(value_type __im) {__im_ = __im;}
-
- _LIBCPP_INLINE_VISIBILITY complex& operator= (const value_type& __re)
- {__re_ = __re; __im_ = value_type(); return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator+=(const value_type& __re) {__re_ += __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator-=(const value_type& __re) {__re_ -= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator*=(const value_type& __re) {__re_ *= __re; __im_ *= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator/=(const value_type& __re) {__re_ /= __re; __im_ /= __re; return *this;}
-
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator= (const complex<_Xp>& __c)
- {
- __re_ = __c.real();
- __im_ = __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator+=(const complex<_Xp>& __c)
- {
- __re_ += __c.real();
- __im_ += __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator-=(const complex<_Xp>& __c)
- {
- __re_ -= __c.real();
- __im_ -= __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator*=(const complex<_Xp>& __c)
- {
- *this = *this * complex(__c.real(), __c.imag());
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator/=(const complex<_Xp>& __c)
- {
- *this = *this / complex(__c.real(), __c.imag());
- return *this;
- }
-};
-
-template<> class _LIBCPP_TEMPLATE_VIS complex<double>;
-template<> class _LIBCPP_TEMPLATE_VIS complex<long double>;
-
-template<>
-class _LIBCPP_TEMPLATE_VIS complex<float>
-{
- float __re_;
- float __im_;
-public:
- typedef float value_type;
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR complex(float __re = 0.0f, float __im = 0.0f)
- : __re_(__re), __im_(__im) {}
- _LIBCPP_INLINE_VISIBILITY
- explicit _LIBCPP_CONSTEXPR complex(const complex<double>& __c);
- _LIBCPP_INLINE_VISIBILITY
- explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c);
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR float real() const {return __re_;}
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR float imag() const {return __im_;}
-
- _LIBCPP_INLINE_VISIBILITY void real(value_type __re) {__re_ = __re;}
- _LIBCPP_INLINE_VISIBILITY void imag(value_type __im) {__im_ = __im;}
-
- _LIBCPP_INLINE_VISIBILITY complex& operator= (float __re)
- {__re_ = __re; __im_ = value_type(); return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator+=(float __re) {__re_ += __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator-=(float __re) {__re_ -= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator*=(float __re) {__re_ *= __re; __im_ *= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator/=(float __re) {__re_ /= __re; __im_ /= __re; return *this;}
-
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator= (const complex<_Xp>& __c)
- {
- __re_ = __c.real();
- __im_ = __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator+=(const complex<_Xp>& __c)
- {
- __re_ += __c.real();
- __im_ += __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator-=(const complex<_Xp>& __c)
- {
- __re_ -= __c.real();
- __im_ -= __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator*=(const complex<_Xp>& __c)
- {
- *this = *this * complex(__c.real(), __c.imag());
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator/=(const complex<_Xp>& __c)
- {
- *this = *this / complex(__c.real(), __c.imag());
- return *this;
- }
-};
-
-template<>
-class _LIBCPP_TEMPLATE_VIS complex<double>
-{
- double __re_;
- double __im_;
-public:
- typedef double value_type;
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR complex(double __re = 0.0, double __im = 0.0)
- : __re_(__re), __im_(__im) {}
- _LIBCPP_INLINE_VISIBILITY
- _LIBCPP_CONSTEXPR complex(const complex<float>& __c);
- _LIBCPP_INLINE_VISIBILITY
- explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c);
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR double real() const {return __re_;}
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR double imag() const {return __im_;}
-
- _LIBCPP_INLINE_VISIBILITY void real(value_type __re) {__re_ = __re;}
- _LIBCPP_INLINE_VISIBILITY void imag(value_type __im) {__im_ = __im;}
-
- _LIBCPP_INLINE_VISIBILITY complex& operator= (double __re)
- {__re_ = __re; __im_ = value_type(); return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator+=(double __re) {__re_ += __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator-=(double __re) {__re_ -= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator*=(double __re) {__re_ *= __re; __im_ *= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator/=(double __re) {__re_ /= __re; __im_ /= __re; return *this;}
-
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator= (const complex<_Xp>& __c)
- {
- __re_ = __c.real();
- __im_ = __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator+=(const complex<_Xp>& __c)
- {
- __re_ += __c.real();
- __im_ += __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator-=(const complex<_Xp>& __c)
- {
- __re_ -= __c.real();
- __im_ -= __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator*=(const complex<_Xp>& __c)
- {
- *this = *this * complex(__c.real(), __c.imag());
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator/=(const complex<_Xp>& __c)
- {
- *this = *this / complex(__c.real(), __c.imag());
- return *this;
- }
-};
-
-template<>
-class _LIBCPP_TEMPLATE_VIS complex<long double>
-{
- long double __re_;
- long double __im_;
-public:
- typedef long double value_type;
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR complex(long double __re = 0.0L, long double __im = 0.0L)
- : __re_(__re), __im_(__im) {}
- _LIBCPP_INLINE_VISIBILITY
- _LIBCPP_CONSTEXPR complex(const complex<float>& __c);
- _LIBCPP_INLINE_VISIBILITY
- _LIBCPP_CONSTEXPR complex(const complex<double>& __c);
-
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR long double real() const {return __re_;}
- _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR long double imag() const {return __im_;}
-
- _LIBCPP_INLINE_VISIBILITY void real(value_type __re) {__re_ = __re;}
- _LIBCPP_INLINE_VISIBILITY void imag(value_type __im) {__im_ = __im;}
-
- _LIBCPP_INLINE_VISIBILITY complex& operator= (long double __re)
- {__re_ = __re; __im_ = value_type(); return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator+=(long double __re) {__re_ += __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator-=(long double __re) {__re_ -= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator*=(long double __re) {__re_ *= __re; __im_ *= __re; return *this;}
- _LIBCPP_INLINE_VISIBILITY complex& operator/=(long double __re) {__re_ /= __re; __im_ /= __re; return *this;}
-
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator= (const complex<_Xp>& __c)
- {
- __re_ = __c.real();
- __im_ = __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator+=(const complex<_Xp>& __c)
- {
- __re_ += __c.real();
- __im_ += __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator-=(const complex<_Xp>& __c)
- {
- __re_ -= __c.real();
- __im_ -= __c.imag();
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator*=(const complex<_Xp>& __c)
- {
- *this = *this * complex(__c.real(), __c.imag());
- return *this;
- }
- template<class _Xp> _LIBCPP_INLINE_VISIBILITY complex& operator/=(const complex<_Xp>& __c)
- {
- *this = *this / complex(__c.real(), __c.imag());
- return *this;
- }
-};
-
-inline
-_LIBCPP_CONSTEXPR
-complex<float>::complex(const complex<double>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
-inline
-_LIBCPP_CONSTEXPR
-complex<float>::complex(const complex<long double>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
-inline
-_LIBCPP_CONSTEXPR
-complex<double>::complex(const complex<float>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
-inline
-_LIBCPP_CONSTEXPR
-complex<double>::complex(const complex<long double>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
-inline
-_LIBCPP_CONSTEXPR
-complex<long double>::complex(const complex<float>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
-inline
-_LIBCPP_CONSTEXPR
-complex<long double>::complex(const complex<double>& __c)
- : __re_(__c.real()), __im_(__c.imag()) {}
-
-// 26.3.6 operators:
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
-{
- complex<_Tp> __t(__x);
- __t += __y;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator+(const complex<_Tp>& __x, const _Tp& __y)
-{
- complex<_Tp> __t(__x);
- __t += __y;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator+(const _Tp& __x, const complex<_Tp>& __y)
-{
- complex<_Tp> __t(__y);
- __t += __x;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
-{
- complex<_Tp> __t(__x);
- __t -= __y;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator-(const complex<_Tp>& __x, const _Tp& __y)
-{
- complex<_Tp> __t(__x);
- __t -= __y;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator-(const _Tp& __x, const complex<_Tp>& __y)
-{
- complex<_Tp> __t(-__y);
- __t += __x;
- return __t;
-}
-
-template<class _Tp>
-complex<_Tp>
-operator*(const complex<_Tp>& __z, const complex<_Tp>& __w)
-{
- _Tp __a = __z.real();
- _Tp __b = __z.imag();
- _Tp __c = __w.real();
- _Tp __d = __w.imag();
- _Tp __ac = __a * __c;
- _Tp __bd = __b * __d;
- _Tp __ad = __a * __d;
- _Tp __bc = __b * __c;
- _Tp __x = __ac - __bd;
- _Tp __y = __ad + __bc;
- if (__libcpp_isnan_or_builtin(__x) && __libcpp_isnan_or_builtin(__y))
- {
- bool __recalc = false;
- if (__libcpp_isinf_or_builtin(__a) || __libcpp_isinf_or_builtin(__b))
- {
- __a = copysign(__libcpp_isinf_or_builtin(__a) ? _Tp(1) : _Tp(0), __a);
- __b = copysign(__libcpp_isinf_or_builtin(__b) ? _Tp(1) : _Tp(0), __b);
- if (__libcpp_isnan_or_builtin(__c))
- __c = copysign(_Tp(0), __c);
- if (__libcpp_isnan_or_builtin(__d))
- __d = copysign(_Tp(0), __d);
- __recalc = true;
- }
- if (__libcpp_isinf_or_builtin(__c) || __libcpp_isinf_or_builtin(__d))
- {
- __c = copysign(__libcpp_isinf_or_builtin(__c) ? _Tp(1) : _Tp(0), __c);
- __d = copysign(__libcpp_isinf_or_builtin(__d) ? _Tp(1) : _Tp(0), __d);
- if (__libcpp_isnan_or_builtin(__a))
- __a = copysign(_Tp(0), __a);
- if (__libcpp_isnan_or_builtin(__b))
- __b = copysign(_Tp(0), __b);
- __recalc = true;
- }
- if (!__recalc && (__libcpp_isinf_or_builtin(__ac) || __libcpp_isinf_or_builtin(__bd) ||
- __libcpp_isinf_or_builtin(__ad) || __libcpp_isinf_or_builtin(__bc)))
- {
- if (__libcpp_isnan_or_builtin(__a))
- __a = copysign(_Tp(0), __a);
- if (__libcpp_isnan_or_builtin(__b))
- __b = copysign(_Tp(0), __b);
- if (__libcpp_isnan_or_builtin(__c))
- __c = copysign(_Tp(0), __c);
- if (__libcpp_isnan_or_builtin(__d))
- __d = copysign(_Tp(0), __d);
- __recalc = true;
- }
- if (__recalc)
- {
- __x = _Tp(INFINITY) * (__a * __c - __b * __d);
- __y = _Tp(INFINITY) * (__a * __d + __b * __c);
- }
- }
- return complex<_Tp>(__x, __y);
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator*(const complex<_Tp>& __x, const _Tp& __y)
-{
- complex<_Tp> __t(__x);
- __t *= __y;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator*(const _Tp& __x, const complex<_Tp>& __y)
-{
- complex<_Tp> __t(__y);
- __t *= __x;
- return __t;
-}
-
-template<class _Tp>
-complex<_Tp>
-operator/(const complex<_Tp>& __z, const complex<_Tp>& __w)
-{
- int __ilogbw = 0;
- _Tp __a = __z.real();
- _Tp __b = __z.imag();
- _Tp __c = __w.real();
- _Tp __d = __w.imag();
- _Tp __logbw = logb(fmax(fabs(__c), fabs(__d)));
- if (__libcpp_isfinite_or_builtin(__logbw))
- {
- __ilogbw = static_cast<int>(__logbw);
- __c = scalbn(__c, -__ilogbw);
- __d = scalbn(__d, -__ilogbw);
- }
- _Tp __denom = __c * __c + __d * __d;
- _Tp __x = scalbn((__a * __c + __b * __d) / __denom, -__ilogbw);
- _Tp __y = scalbn((__b * __c - __a * __d) / __denom, -__ilogbw);
- if (__libcpp_isnan_or_builtin(__x) && __libcpp_isnan_or_builtin(__y))
- {
- if ((__denom == _Tp(0)) && (!__libcpp_isnan_or_builtin(__a) || !__libcpp_isnan_or_builtin(__b)))
- {
- __x = copysign(_Tp(INFINITY), __c) * __a;
- __y = copysign(_Tp(INFINITY), __c) * __b;
- }
- else if ((__libcpp_isinf_or_builtin(__a) || __libcpp_isinf_or_builtin(__b)) && __libcpp_isfinite_or_builtin(__c) && __libcpp_isfinite_or_builtin(__d))
- {
- __a = copysign(__libcpp_isinf_or_builtin(__a) ? _Tp(1) : _Tp(0), __a);
- __b = copysign(__libcpp_isinf_or_builtin(__b) ? _Tp(1) : _Tp(0), __b);
- __x = _Tp(INFINITY) * (__a * __c + __b * __d);
- __y = _Tp(INFINITY) * (__b * __c - __a * __d);
- }
- else if (__libcpp_isinf_or_builtin(__logbw) && __logbw > _Tp(0) && __libcpp_isfinite_or_builtin(__a) && __libcpp_isfinite_or_builtin(__b))
- {
- __c = copysign(__libcpp_isinf_or_builtin(__c) ? _Tp(1) : _Tp(0), __c);
- __d = copysign(__libcpp_isinf_or_builtin(__d) ? _Tp(1) : _Tp(0), __d);
- __x = _Tp(0) * (__a * __c + __b * __d);
- __y = _Tp(0) * (__b * __c - __a * __d);
- }
- }
- return complex<_Tp>(__x, __y);
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator/(const complex<_Tp>& __x, const _Tp& __y)
-{
- return complex<_Tp>(__x.real() / __y, __x.imag() / __y);
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator/(const _Tp& __x, const complex<_Tp>& __y)
-{
- complex<_Tp> __t(__x);
- __t /= __y;
- return __t;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator+(const complex<_Tp>& __x)
-{
- return __x;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-operator-(const complex<_Tp>& __x)
-{
- return complex<_Tp>(-__x.real(), -__x.imag());
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-bool
-operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
-{
- return __x.real() == __y.real() && __x.imag() == __y.imag();
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-bool
-operator==(const complex<_Tp>& __x, const _Tp& __y)
-{
- return __x.real() == __y && __x.imag() == 0;
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-bool
-operator==(const _Tp& __x, const complex<_Tp>& __y)
-{
- return __x == __y.real() && 0 == __y.imag();
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-bool
-operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
-{
- return !(__x == __y);
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-bool
-operator!=(const complex<_Tp>& __x, const _Tp& __y)
-{
- return !(__x == __y);
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-bool
-operator!=(const _Tp& __x, const complex<_Tp>& __y)
-{
- return !(__x == __y);
-}
-
-// 26.3.7 values:
-
-template <class _Tp, bool = is_integral<_Tp>::value,
- bool = is_floating_point<_Tp>::value
- >
-struct __libcpp_complex_overload_traits {};
-
-// Integral Types
-template <class _Tp>
-struct __libcpp_complex_overload_traits<_Tp, true, false>
-{
- typedef double _ValueType;
- typedef complex<double> _ComplexType;
-};
-
-// Floating point types
-template <class _Tp>
-struct __libcpp_complex_overload_traits<_Tp, false, true>
-{
- typedef _Tp _ValueType;
- typedef complex<_Tp> _ComplexType;
-};
-
-// real
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-_Tp
-real(const complex<_Tp>& __c)
-{
- return __c.real();
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-typename __libcpp_complex_overload_traits<_Tp>::_ValueType
-real(_Tp __re)
-{
- return __re;
-}
-
-// imag
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-_Tp
-imag(const complex<_Tp>& __c)
-{
- return __c.imag();
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11
-typename __libcpp_complex_overload_traits<_Tp>::_ValueType
-imag(_Tp)
-{
- return 0;
-}
-
-// abs
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-_Tp
-abs(const complex<_Tp>& __c)
-{
- return hypot(__c.real(), __c.imag());
-}
-
-// arg
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-_Tp
-arg(const complex<_Tp>& __c)
-{
- return atan2(__c.imag(), __c.real());
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if<
- is_same<_Tp, long double>::value,
- long double
->::type
-arg(_Tp __re)
-{
- return atan2l(0.L, __re);
-}
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if
-<
- is_integral<_Tp>::value || is_same<_Tp, double>::value,
- double
->::type
-arg(_Tp __re)
-{
- return atan2(0., __re);
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if<
- is_same<_Tp, float>::value,
- float
->::type
-arg(_Tp __re)
-{
- return atan2f(0.F, __re);
-}
-
-// norm
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-_Tp
-norm(const complex<_Tp>& __c)
-{
- if (__libcpp_isinf_or_builtin(__c.real()))
- return abs(__c.real());
- if (__libcpp_isinf_or_builtin(__c.imag()))
- return abs(__c.imag());
- return __c.real() * __c.real() + __c.imag() * __c.imag();
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename __libcpp_complex_overload_traits<_Tp>::_ValueType
-norm(_Tp __re)
-{
- typedef typename __libcpp_complex_overload_traits<_Tp>::_ValueType _ValueType;
- return static_cast<_ValueType>(__re) * __re;
-}
-
-// conj
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-conj(const complex<_Tp>& __c)
-{
- return complex<_Tp>(__c.real(), -__c.imag());
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename __libcpp_complex_overload_traits<_Tp>::_ComplexType
-conj(_Tp __re)
-{
- typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType;
- return _ComplexType(__re);
-}
-
-
-
-// proj
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-proj(const complex<_Tp>& __c)
-{
- std::complex<_Tp> __r = __c;
- if (__libcpp_isinf_or_builtin(__c.real()) || __libcpp_isinf_or_builtin(__c.imag()))
- __r = complex<_Tp>(INFINITY, copysign(_Tp(0), __c.imag()));
- return __r;
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if
-<
- is_floating_point<_Tp>::value,
- typename __libcpp_complex_overload_traits<_Tp>::_ComplexType
->::type
-proj(_Tp __re)
-{
- if (__libcpp_isinf_or_builtin(__re))
- __re = abs(__re);
- return complex<_Tp>(__re);
-}
-
-template <class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if
-<
- is_integral<_Tp>::value,
- typename __libcpp_complex_overload_traits<_Tp>::_ComplexType
->::type
-proj(_Tp __re)
-{
- typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType;
- return _ComplexType(__re);
-}
-
-// polar
-
-template<class _Tp>
-complex<_Tp>
-polar(const _Tp& __rho, const _Tp& __theta = _Tp())
-{
- if (__libcpp_isnan_or_builtin(__rho) || signbit(__rho))
- return complex<_Tp>(_Tp(NAN), _Tp(NAN));
- if (__libcpp_isnan_or_builtin(__theta))
- {
- if (__libcpp_isinf_or_builtin(__rho))
- return complex<_Tp>(__rho, __theta);
- return complex<_Tp>(__theta, __theta);
- }
- if (__libcpp_isinf_or_builtin(__theta))
- {
- if (__libcpp_isinf_or_builtin(__rho))
- return complex<_Tp>(__rho, _Tp(NAN));
- return complex<_Tp>(_Tp(NAN), _Tp(NAN));
- }
- _Tp __x = __rho * cos(__theta);
- if (__libcpp_isnan_or_builtin(__x))
- __x = 0;
- _Tp __y = __rho * sin(__theta);
- if (__libcpp_isnan_or_builtin(__y))
- __y = 0;
- return complex<_Tp>(__x, __y);
-}
-
-// log
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-log(const complex<_Tp>& __x)
-{
- return complex<_Tp>(log(abs(__x)), arg(__x));
-}
-
-// log10
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-log10(const complex<_Tp>& __x)
-{
- return log(__x) / log(_Tp(10));
-}
-
-// sqrt
-
-template<class _Tp>
-complex<_Tp>
-sqrt(const complex<_Tp>& __x)
-{
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(_Tp(INFINITY), __x.imag());
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- if (__x.real() > _Tp(0))
- return complex<_Tp>(__x.real(), __libcpp_isnan_or_builtin(__x.imag()) ? __x.imag() : copysign(_Tp(0), __x.imag()));
- return complex<_Tp>(__libcpp_isnan_or_builtin(__x.imag()) ? __x.imag() : _Tp(0), copysign(__x.real(), __x.imag()));
- }
- return polar(sqrt(abs(__x)), arg(__x) / _Tp(2));
-}
-
-// exp
-
-template<class _Tp>
-complex<_Tp>
-exp(const complex<_Tp>& __x)
-{
- _Tp __i = __x.imag();
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- if (__x.real() < _Tp(0))
- {
- if (!__libcpp_isfinite_or_builtin(__i))
- __i = _Tp(1);
- }
- else if (__i == 0 || !__libcpp_isfinite_or_builtin(__i))
- {
- if (__libcpp_isinf_or_builtin(__i))
- __i = _Tp(NAN);
- return complex<_Tp>(__x.real(), __i);
- }
- }
- else if (__libcpp_isnan_or_builtin(__x.real()) && __x.imag() == 0)
- return __x;
- _Tp __e = exp(__x.real());
- return complex<_Tp>(__e * cos(__i), __e * sin(__i));
-}
-
-// pow
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
-{
- return exp(__y * log(__x));
-}
-
-template<class _Tp, class _Up>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<typename __promote<_Tp, _Up>::type>
-pow(const complex<_Tp>& __x, const complex<_Up>& __y)
-{
- typedef complex<typename __promote<_Tp, _Up>::type> result_type;
- return _VSTD::pow(result_type(__x), result_type(__y));
-}
-
-template<class _Tp, class _Up>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if
-<
- is_arithmetic<_Up>::value,
- complex<typename __promote<_Tp, _Up>::type>
->::type
-pow(const complex<_Tp>& __x, const _Up& __y)
-{
- typedef complex<typename __promote<_Tp, _Up>::type> result_type;
- return _VSTD::pow(result_type(__x), result_type(__y));
-}
-
-template<class _Tp, class _Up>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if
-<
- is_arithmetic<_Tp>::value,
- complex<typename __promote<_Tp, _Up>::type>
->::type
-pow(const _Tp& __x, const complex<_Up>& __y)
-{
- typedef complex<typename __promote<_Tp, _Up>::type> result_type;
- return _VSTD::pow(result_type(__x), result_type(__y));
-}
-
-// __sqr, computes pow(x, 2)
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-__sqr(const complex<_Tp>& __x)
-{
- return complex<_Tp>((__x.real() - __x.imag()) * (__x.real() + __x.imag()),
- _Tp(2) * __x.real() * __x.imag());
-}
-
-// asinh
-
-template<class _Tp>
-complex<_Tp>
-asinh(const complex<_Tp>& __x)
-{
- const _Tp __pi(atan2(+0., -0.));
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- if (__libcpp_isnan_or_builtin(__x.imag()))
- return __x;
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(__x.real(), copysign(__pi * _Tp(0.25), __x.imag()));
- return complex<_Tp>(__x.real(), copysign(_Tp(0), __x.imag()));
- }
- if (__libcpp_isnan_or_builtin(__x.real()))
- {
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(__x.imag(), __x.real());
- if (__x.imag() == 0)
- return __x;
- return complex<_Tp>(__x.real(), __x.real());
- }
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(copysign(__x.imag(), __x.real()), copysign(__pi/_Tp(2), __x.imag()));
- complex<_Tp> __z = log(__x + sqrt(__sqr(__x) + _Tp(1)));
- return complex<_Tp>(copysign(__z.real(), __x.real()), copysign(__z.imag(), __x.imag()));
-}
-
-// acosh
-
-template<class _Tp>
-complex<_Tp>
-acosh(const complex<_Tp>& __x)
-{
- const _Tp __pi(atan2(+0., -0.));
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- if (__libcpp_isnan_or_builtin(__x.imag()))
- return complex<_Tp>(abs(__x.real()), __x.imag());
- if (__libcpp_isinf_or_builtin(__x.imag()))
- {
- if (__x.real() > 0)
- return complex<_Tp>(__x.real(), copysign(__pi * _Tp(0.25), __x.imag()));
- else
- return complex<_Tp>(-__x.real(), copysign(__pi * _Tp(0.75), __x.imag()));
- }
- if (__x.real() < 0)
- return complex<_Tp>(-__x.real(), copysign(__pi, __x.imag()));
- return complex<_Tp>(__x.real(), copysign(_Tp(0), __x.imag()));
- }
- if (__libcpp_isnan_or_builtin(__x.real()))
- {
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(abs(__x.imag()), __x.real());
- return complex<_Tp>(__x.real(), __x.real());
- }
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(abs(__x.imag()), copysign(__pi/_Tp(2), __x.imag()));
- complex<_Tp> __z = log(__x + sqrt(__sqr(__x) - _Tp(1)));
- return complex<_Tp>(copysign(__z.real(), _Tp(0)), copysign(__z.imag(), __x.imag()));
-}
-
-// atanh
-
-template<class _Tp>
-complex<_Tp>
-atanh(const complex<_Tp>& __x)
-{
- const _Tp __pi(atan2(+0., -0.));
- if (__libcpp_isinf_or_builtin(__x.imag()))
- {
- return complex<_Tp>(copysign(_Tp(0), __x.real()), copysign(__pi/_Tp(2), __x.imag()));
- }
- if (__libcpp_isnan_or_builtin(__x.imag()))
- {
- if (__libcpp_isinf_or_builtin(__x.real()) || __x.real() == 0)
- return complex<_Tp>(copysign(_Tp(0), __x.real()), __x.imag());
- return complex<_Tp>(__x.imag(), __x.imag());
- }
- if (__libcpp_isnan_or_builtin(__x.real()))
- {
- return complex<_Tp>(__x.real(), __x.real());
- }
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- return complex<_Tp>(copysign(_Tp(0), __x.real()), copysign(__pi/_Tp(2), __x.imag()));
- }
- if (abs(__x.real()) == _Tp(1) && __x.imag() == _Tp(0))
- {
- return complex<_Tp>(copysign(_Tp(INFINITY), __x.real()), copysign(_Tp(0), __x.imag()));
- }
- complex<_Tp> __z = log((_Tp(1) + __x) / (_Tp(1) - __x)) / _Tp(2);
- return complex<_Tp>(copysign(__z.real(), __x.real()), copysign(__z.imag(), __x.imag()));
-}
-
-// sinh
-
-template<class _Tp>
-complex<_Tp>
-sinh(const complex<_Tp>& __x)
-{
- if (__libcpp_isinf_or_builtin(__x.real()) && !__libcpp_isfinite_or_builtin(__x.imag()))
- return complex<_Tp>(__x.real(), _Tp(NAN));
- if (__x.real() == 0 && !__libcpp_isfinite_or_builtin(__x.imag()))
- return complex<_Tp>(__x.real(), _Tp(NAN));
- if (__x.imag() == 0 && !__libcpp_isfinite_or_builtin(__x.real()))
- return __x;
- return complex<_Tp>(sinh(__x.real()) * cos(__x.imag()), cosh(__x.real()) * sin(__x.imag()));
-}
-
-// cosh
-
-template<class _Tp>
-complex<_Tp>
-cosh(const complex<_Tp>& __x)
-{
- if (__libcpp_isinf_or_builtin(__x.real()) && !__libcpp_isfinite_or_builtin(__x.imag()))
- return complex<_Tp>(abs(__x.real()), _Tp(NAN));
- if (__x.real() == 0 && !__libcpp_isfinite_or_builtin(__x.imag()))
- return complex<_Tp>(_Tp(NAN), __x.real());
- if (__x.real() == 0 && __x.imag() == 0)
- return complex<_Tp>(_Tp(1), __x.imag());
- if (__x.imag() == 0 && !__libcpp_isfinite_or_builtin(__x.real()))
- return complex<_Tp>(abs(__x.real()), __x.imag());
- return complex<_Tp>(cosh(__x.real()) * cos(__x.imag()), sinh(__x.real()) * sin(__x.imag()));
-}
-
-// tanh
-
-template<class _Tp>
-complex<_Tp>
-tanh(const complex<_Tp>& __x)
-{
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- if (!__libcpp_isfinite_or_builtin(__x.imag()))
- return complex<_Tp>(_Tp(1), _Tp(0));
- return complex<_Tp>(_Tp(1), copysign(_Tp(0), sin(_Tp(2) * __x.imag())));
- }
- if (__libcpp_isnan_or_builtin(__x.real()) && __x.imag() == 0)
- return __x;
- _Tp __2r(_Tp(2) * __x.real());
- _Tp __2i(_Tp(2) * __x.imag());
- _Tp __d(cosh(__2r) + cos(__2i));
- _Tp __2rsh(sinh(__2r));
- if (__libcpp_isinf_or_builtin(__2rsh) && __libcpp_isinf_or_builtin(__d))
- return complex<_Tp>(__2rsh > _Tp(0) ? _Tp(1) : _Tp(-1),
- __2i > _Tp(0) ? _Tp(0) : _Tp(-0.));
- return complex<_Tp>(__2rsh/__d, sin(__2i)/__d);
-}
-
-// asin
-
-template<class _Tp>
-complex<_Tp>
-asin(const complex<_Tp>& __x)
-{
- complex<_Tp> __z = asinh(complex<_Tp>(-__x.imag(), __x.real()));
- return complex<_Tp>(__z.imag(), -__z.real());
-}
-
-// acos
-
-template<class _Tp>
-complex<_Tp>
-acos(const complex<_Tp>& __x)
-{
- const _Tp __pi(atan2(+0., -0.));
- if (__libcpp_isinf_or_builtin(__x.real()))
- {
- if (__libcpp_isnan_or_builtin(__x.imag()))
- return complex<_Tp>(__x.imag(), __x.real());
- if (__libcpp_isinf_or_builtin(__x.imag()))
- {
- if (__x.real() < _Tp(0))
- return complex<_Tp>(_Tp(0.75) * __pi, -__x.imag());
- return complex<_Tp>(_Tp(0.25) * __pi, -__x.imag());
- }
- if (__x.real() < _Tp(0))
- return complex<_Tp>(__pi, signbit(__x.imag()) ? -__x.real() : __x.real());
- return complex<_Tp>(_Tp(0), signbit(__x.imag()) ? __x.real() : -__x.real());
- }
- if (__libcpp_isnan_or_builtin(__x.real()))
- {
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(__x.real(), -__x.imag());
- return complex<_Tp>(__x.real(), __x.real());
- }
- if (__libcpp_isinf_or_builtin(__x.imag()))
- return complex<_Tp>(__pi/_Tp(2), -__x.imag());
- if (__x.real() == 0 && (__x.imag() == 0 || isnan(__x.imag())))
- return complex<_Tp>(__pi/_Tp(2), -__x.imag());
- complex<_Tp> __z = log(__x + sqrt(__sqr(__x) - _Tp(1)));
- if (signbit(__x.imag()))
- return complex<_Tp>(abs(__z.imag()), abs(__z.real()));
- return complex<_Tp>(abs(__z.imag()), -abs(__z.real()));
-}
-
-// atan
-
-template<class _Tp>
-complex<_Tp>
-atan(const complex<_Tp>& __x)
-{
- complex<_Tp> __z = atanh(complex<_Tp>(-__x.imag(), __x.real()));
- return complex<_Tp>(__z.imag(), -__z.real());
-}
-
-// sin
-
-template<class _Tp>
-complex<_Tp>
-sin(const complex<_Tp>& __x)
-{
- complex<_Tp> __z = sinh(complex<_Tp>(-__x.imag(), __x.real()));
- return complex<_Tp>(__z.imag(), -__z.real());
-}
-
-// cos
-
-template<class _Tp>
-inline _LIBCPP_INLINE_VISIBILITY
-complex<_Tp>
-cos(const complex<_Tp>& __x)
-{
- return cosh(complex<_Tp>(-__x.imag(), __x.real()));
-}
-
-// tan
-
-template<class _Tp>
-complex<_Tp>
-tan(const complex<_Tp>& __x)
-{
- complex<_Tp> __z = tanh(complex<_Tp>(-__x.imag(), __x.real()));
- return complex<_Tp>(__z.imag(), -__z.real());
-}
-
-template<class _Tp, class _CharT, class _Traits>
-basic_istream<_CharT, _Traits>&
-operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
-{
- if (__is.good())
- {
- ws(__is);
- if (__is.peek() == _CharT('('))
- {
- __is.get();
- _Tp __r;
- __is >> __r;
- if (!__is.fail())
- {
- ws(__is);
- _CharT __c = __is.peek();
- if (__c == _CharT(','))
- {
- __is.get();
- _Tp __i;
- __is >> __i;
- if (!__is.fail())
- {
- ws(__is);
- __c = __is.peek();
- if (__c == _CharT(')'))
- {
- __is.get();
- __x = complex<_Tp>(__r, __i);
- }
- else
- __is.setstate(ios_base::failbit);
- }
- else
- __is.setstate(ios_base::failbit);
- }
- else if (__c == _CharT(')'))
- {
- __is.get();
- __x = complex<_Tp>(__r, _Tp(0));
- }
- else
- __is.setstate(ios_base::failbit);
- }
- else
- __is.setstate(ios_base::failbit);
- }
- else
- {
- _Tp __r;
- __is >> __r;
- if (!__is.fail())
- __x = complex<_Tp>(__r, _Tp(0));
- else
- __is.setstate(ios_base::failbit);
- }
- }
- else
- __is.setstate(ios_base::failbit);
- return __is;
-}
-
-template<class _Tp, class _CharT, class _Traits>
-basic_ostream<_CharT, _Traits>&
-operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x)
-{
- basic_ostringstream<_CharT, _Traits> __s;
- __s.flags(__os.flags());
- __s.imbue(__os.getloc());
- __s.precision(__os.precision());
- __s << '(' << __x.real() << ',' << __x.imag() << ')';
- return __os << __s.str();
-}
-
-#if _LIBCPP_STD_VER > 11
-// Literal suffix for complex number literals [complex.literals]
-inline namespace literals
-{
- inline namespace complex_literals
- {
- constexpr complex<long double> operator""il(long double __im)
- {
- return { 0.0l, __im };
- }
-
- constexpr complex<long double> operator""il(unsigned long long __im)
- {
- return { 0.0l, static_cast<long double>(__im) };
- }
-
-
- constexpr complex<double> operator""i(long double __im)
- {
- return { 0.0, static_cast<double>(__im) };
- }
-
- constexpr complex<double> operator""i(unsigned long long __im)
- {
- return { 0.0, static_cast<double>(__im) };
- }
-
-
- constexpr complex<float> operator""if(long double __im)
- {
- return { 0.0f, static_cast<float>(__im) };
- }
-
- constexpr complex<float> operator""if(unsigned long long __im)
- {
- return { 0.0f, static_cast<float>(__im) };
- }
- }
-}
-#endif
-
-_LIBCPP_END_NAMESPACE_STD
-
-#endif // _LIBCPP_COMPLEX
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