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0001 // -*- C++ -*-
0002 //===----------------------------------------------------------------------===//
0003 //
0004 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
0005 // See https://llvm.org/LICENSE.txt for license information.
0006 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
0007 //
0008 //===----------------------------------------------------------------------===//
0009
0010 #ifndef _LIBCPP___CXX03_COMPLEX
0011 #define _LIBCPP___CXX03_COMPLEX
0012
0013 /*
0014 complex synopsis
0015
0016 namespace std
0017 {
0018
0019 template<class T>
0020 class complex
0021 {
0022 public:
0023 typedef T value_type;
0024
0025 complex(const T& re = T(), const T& im = T()); // constexpr in C++14
0026 complex(const complex&); // constexpr in C++14
0027 template<class X> complex(const complex<X>&); // constexpr in C++14
0028
0029 T real() const; // constexpr in C++14
0030 T imag() const; // constexpr in C++14
0031
0032 void real(T); // constexpr in C++20
0033 void imag(T); // constexpr in C++20
0034
0035 complex<T>& operator= (const T&); // constexpr in C++20
0036 complex<T>& operator+=(const T&); // constexpr in C++20
0037 complex<T>& operator-=(const T&); // constexpr in C++20
0038 complex<T>& operator*=(const T&); // constexpr in C++20
0039 complex<T>& operator/=(const T&); // constexpr in C++20
0040
0041 complex& operator=(const complex&); // constexpr in C++20
0042 template<class X> complex<T>& operator= (const complex<X>&); // constexpr in C++20
0043 template<class X> complex<T>& operator+=(const complex<X>&); // constexpr in C++20
0044 template<class X> complex<T>& operator-=(const complex<X>&); // constexpr in C++20
0045 template<class X> complex<T>& operator*=(const complex<X>&); // constexpr in C++20
0046 template<class X> complex<T>& operator/=(const complex<X>&); // constexpr in C++20
0047 };
0048
0049 template<>
0050 class complex<float>
0051 {
0052 public:
0053 typedef float value_type;
0054
0055 constexpr complex(float re = 0.0f, float im = 0.0f);
0056 explicit constexpr complex(const complex<double>&);
0057 explicit constexpr complex(const complex<long double>&);
0058
0059 constexpr float real() const;
0060 void real(float); // constexpr in C++20
0061 constexpr float imag() const;
0062 void imag(float); // constexpr in C++20
0063
0064 complex<float>& operator= (float); // constexpr in C++20
0065 complex<float>& operator+=(float); // constexpr in C++20
0066 complex<float>& operator-=(float); // constexpr in C++20
0067 complex<float>& operator*=(float); // constexpr in C++20
0068 complex<float>& operator/=(float); // constexpr in C++20
0069
0070 complex<float>& operator=(const complex<float>&); // constexpr in C++20
0071 template<class X> complex<float>& operator= (const complex<X>&); // constexpr in C++20
0072 template<class X> complex<float>& operator+=(const complex<X>&); // constexpr in C++20
0073 template<class X> complex<float>& operator-=(const complex<X>&); // constexpr in C++20
0074 template<class X> complex<float>& operator*=(const complex<X>&); // constexpr in C++20
0075 template<class X> complex<float>& operator/=(const complex<X>&); // constexpr in C++20
0076 };
0077
0078 template<>
0079 class complex<double>
0080 {
0081 public:
0082 typedef double value_type;
0083
0084 constexpr complex(double re = 0.0, double im = 0.0);
0085 constexpr complex(const complex<float>&);
0086 explicit constexpr complex(const complex<long double>&);
0087
0088 constexpr double real() const;
0089 void real(double); // constexpr in C++20
0090 constexpr double imag() const;
0091 void imag(double); // constexpr in C++20
0092
0093 complex<double>& operator= (double); // constexpr in C++20
0094 complex<double>& operator+=(double); // constexpr in C++20
0095 complex<double>& operator-=(double); // constexpr in C++20
0096 complex<double>& operator*=(double); // constexpr in C++20
0097 complex<double>& operator/=(double); // constexpr in C++20
0098 complex<double>& operator=(const complex<double>&); // constexpr in C++20
0099
0100 template<class X> complex<double>& operator= (const complex<X>&); // constexpr in C++20
0101 template<class X> complex<double>& operator+=(const complex<X>&); // constexpr in C++20
0102 template<class X> complex<double>& operator-=(const complex<X>&); // constexpr in C++20
0103 template<class X> complex<double>& operator*=(const complex<X>&); // constexpr in C++20
0104 template<class X> complex<double>& operator/=(const complex<X>&); // constexpr in C++20
0105 };
0106
0107 template<>
0108 class complex<long double>
0109 {
0110 public:
0111 typedef long double value_type;
0112
0113 constexpr complex(long double re = 0.0L, long double im = 0.0L);
0114 constexpr complex(const complex<float>&);
0115 constexpr complex(const complex<double>&);
0116
0117 constexpr long double real() const;
0118 void real(long double); // constexpr in C++20
0119 constexpr long double imag() const;
0120 void imag(long double); // constexpr in C++20
0121
0122 complex<long double>& operator=(const complex<long double>&); // constexpr in C++20
0123 complex<long double>& operator= (long double); // constexpr in C++20
0124 complex<long double>& operator+=(long double); // constexpr in C++20
0125 complex<long double>& operator-=(long double); // constexpr in C++20
0126 complex<long double>& operator*=(long double); // constexpr in C++20
0127 complex<long double>& operator/=(long double); // constexpr in C++20
0128
0129 template<class X> complex<long double>& operator= (const complex<X>&); // constexpr in C++20
0130 template<class X> complex<long double>& operator+=(const complex<X>&); // constexpr in C++20
0131 template<class X> complex<long double>& operator-=(const complex<X>&); // constexpr in C++20
0132 template<class X> complex<long double>& operator*=(const complex<X>&); // constexpr in C++20
0133 template<class X> complex<long double>& operator/=(const complex<X>&); // constexpr in C++20
0134 };
0135
0136 // 26.3.6 operators:
0137 template<class T> complex<T> operator+(const complex<T>&, const complex<T>&); // constexpr in C++20
0138 template<class T> complex<T> operator+(const complex<T>&, const T&); // constexpr in C++20
0139 template<class T> complex<T> operator+(const T&, const complex<T>&); // constexpr in C++20
0140 template<class T> complex<T> operator-(const complex<T>&, const complex<T>&); // constexpr in C++20
0141 template<class T> complex<T> operator-(const complex<T>&, const T&); // constexpr in C++20
0142 template<class T> complex<T> operator-(const T&, const complex<T>&); // constexpr in C++20
0143 template<class T> complex<T> operator*(const complex<T>&, const complex<T>&); // constexpr in C++20
0144 template<class T> complex<T> operator*(const complex<T>&, const T&); // constexpr in C++20
0145 template<class T> complex<T> operator*(const T&, const complex<T>&); // constexpr in C++20
0146 template<class T> complex<T> operator/(const complex<T>&, const complex<T>&); // constexpr in C++20
0147 template<class T> complex<T> operator/(const complex<T>&, const T&); // constexpr in C++20
0148 template<class T> complex<T> operator/(const T&, const complex<T>&); // constexpr in C++20
0149 template<class T> complex<T> operator+(const complex<T>&); // constexpr in C++20
0150 template<class T> complex<T> operator-(const complex<T>&); // constexpr in C++20
0151 template<class T> bool operator==(const complex<T>&, const complex<T>&); // constexpr in C++14
0152 template<class T> bool operator==(const complex<T>&, const T&); // constexpr in C++14
0153 template<class T> bool operator==(const T&, const complex<T>&); // constexpr in C++14, removed in C++20
0154 template<class T> bool operator!=(const complex<T>&, const complex<T>&); // constexpr in C++14, removed in C++20
0155 template<class T> bool operator!=(const complex<T>&, const T&); // constexpr in C++14, removed in C++20
0156 template<class T> bool operator!=(const T&, const complex<T>&); // constexpr in C++14, removed in C++20
0157
0158 template<class T, class charT, class traits>
0159 basic_istream<charT, traits>&
0160 operator>>(basic_istream<charT, traits>&, complex<T>&);
0161 template<class T, class charT, class traits>
0162 basic_ostream<charT, traits>&
0163 operator<<(basic_ostream<charT, traits>&, const complex<T>&);
0164
0165 // 26.3.7 values:
0166
0167 template<class T> T real(const complex<T>&); // constexpr in C++14
0168 long double real(long double); // constexpr in C++14
0169 double real(double); // constexpr in C++14
0170 template<Integral T> double real(T); // constexpr in C++14
0171 float real(float); // constexpr in C++14
0172
0173 template<class T> T imag(const complex<T>&); // constexpr in C++14
0174 long double imag(long double); // constexpr in C++14
0175 double imag(double); // constexpr in C++14
0176 template<Integral T> double imag(T); // constexpr in C++14
0177 float imag(float); // constexpr in C++14
0178
0179 template<class T> T abs(const complex<T>&);
0180
0181 template<class T> T arg(const complex<T>&);
0182 long double arg(long double);
0183 double arg(double);
0184 template<Integral T> double arg(T);
0185 float arg(float);
0186
0187 template<class T> T norm(const complex<T>&); // constexpr in C++20
0188 long double norm(long double); // constexpr in C++20
0189 double norm(double); // constexpr in C++20
0190 template<Integral T> double norm(T); // constexpr in C++20
0191 float norm(float); // constexpr in C++20
0192
0193 template<class T> complex<T> conj(const complex<T>&); // constexpr in C++20
0194 complex<long double> conj(long double); // constexpr in C++20
0195 complex<double> conj(double); // constexpr in C++20
0196 template<Integral T> complex<double> conj(T); // constexpr in C++20
0197 complex<float> conj(float); // constexpr in C++20
0198
0199 template<class T> complex<T> proj(const complex<T>&);
0200 complex<long double> proj(long double);
0201 complex<double> proj(double);
0202 template<Integral T> complex<double> proj(T);
0203 complex<float> proj(float);
0204
0205 template<class T> complex<T> polar(const T&, const T& = T());
0206
0207 // 26.3.8 transcendentals:
0208 template<class T> complex<T> acos(const complex<T>&);
0209 template<class T> complex<T> asin(const complex<T>&);
0210 template<class T> complex<T> atan(const complex<T>&);
0211 template<class T> complex<T> acosh(const complex<T>&);
0212 template<class T> complex<T> asinh(const complex<T>&);
0213 template<class T> complex<T> atanh(const complex<T>&);
0214 template<class T> complex<T> cos (const complex<T>&);
0215 template<class T> complex<T> cosh (const complex<T>&);
0216 template<class T> complex<T> exp (const complex<T>&);
0217 template<class T> complex<T> log (const complex<T>&);
0218 template<class T> complex<T> log10(const complex<T>&);
0219
0220 template<class T> complex<T> pow(const complex<T>&, const T&);
0221 template<class T> complex<T> pow(const complex<T>&, const complex<T>&);
0222 template<class T> complex<T> pow(const T&, const complex<T>&);
0223
0224 template<class T> complex<T> sin (const complex<T>&);
0225 template<class T> complex<T> sinh (const complex<T>&);
0226 template<class T> complex<T> sqrt (const complex<T>&);
0227 template<class T> complex<T> tan (const complex<T>&);
0228 template<class T> complex<T> tanh (const complex<T>&);
0229
0230 // [complex.tuple], tuple interface
0231 template<class T> struct tuple_size; // Since C++26
0232 template<size_t I, class T> struct tuple_element; // Since C++26
0233 template<class T> struct tuple_size<complex<T>>; // Since C++26
0234 template<size_t I, class T> struct tuple_element<I, complex<T>>; // Since C++26
0235 template<size_t I, class T>
0236 constexpr T& get(complex<T>&) noexcept; // Since C++26
0237 template<size_t I, class T>
0238 constexpr T&& get(complex<T>&&) noexcept; // Since C++26
0239 template<size_t I, class T>
0240 constexpr const T& get(const complex<T>&) noexcept; // Since C++26
0241 template<size_t I, class T>
0242 constexpr const T&& get(const complex<T>&&) noexcept; // Since C++26
0243
0244 // [complex.literals], complex literals
0245 inline namespace literals {
0246 inline namespace complex_literals {
0247 constexpr complex<long double> operator""il(long double); // Since C++14
0248 constexpr complex<long double> operator""il(unsigned long long); // Since C++14
0249 constexpr complex<double> operator""i(long double); // Since C++14
0250 constexpr complex<double> operator""i(unsigned long long); // Since C++14
0251 constexpr complex<float> operator""if(long double); // Since C++14
0252 constexpr complex<float> operator""if(unsigned long long); // Since C++14
0253 }
0254 }
0255 } // std
0256
0257 */
0258
0259 #include <__cxx03/__config>
0260 #include <__cxx03/__fwd/complex.h>
0261 #include <__cxx03/__fwd/tuple.h>
0262 #include <__cxx03/__tuple/tuple_element.h>
0263 #include <__cxx03/__tuple/tuple_size.h>
0264 #include <__cxx03/__type_traits/conditional.h>
0265 #include <__cxx03/__utility/move.h>
0266 #include <__cxx03/cmath>
0267 #include <__cxx03/version>
0268
0269 #if !defined(_LIBCPP_HAS_NO_LOCALIZATION)
0270 # include <__cxx03/sstream> // for std::basic_ostringstream
0271 #endif
0272
0273 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
0274 # pragma GCC system_header
0275 #endif
0276
0277 _LIBCPP_PUSH_MACROS
0278 #include <__cxx03/__undef_macros>
0279
0280 _LIBCPP_BEGIN_NAMESPACE_STD
0281
0282 template <class _Tp>
0283 class _LIBCPP_TEMPLATE_VIS complex;
0284
0285 template <class _Tp, __enable_if_t<is_floating_point<_Tp>::value, int> = 0>
0286 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0287 operator*(const complex<_Tp>& __z, const complex<_Tp>& __w);
0288
0289 template <class _Tp, __enable_if_t<!is_floating_point<_Tp>::value, int> = 0>
0290 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0291 operator*(const complex<_Tp>& __z, const complex<_Tp>& __w);
0292
0293 template <class _Tp, __enable_if_t<is_floating_point<_Tp>::value, int> = 0>
0294 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0295 operator/(const complex<_Tp>& __x, const complex<_Tp>& __y);
0296
0297 template <class _Tp, __enable_if_t<!is_floating_point<_Tp>::value, int> = 0>
0298 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0299 operator/(const complex<_Tp>& __x, const complex<_Tp>& __y);
0300
0301 template <class _Tp>
0302 class _LIBCPP_TEMPLATE_VIS complex {
0303 public:
0304 typedef _Tp value_type;
0305
0306 private:
0307 value_type __re_;
0308 value_type __im_;
0309
0310 public:
0311 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14
0312 complex(const value_type& __re = value_type(), const value_type& __im = value_type())
0313 : __re_(__re), __im_(__im) {}
0314 template <class _Xp>
0315 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 complex(const complex<_Xp>& __c)
0316 : __re_(__c.real()), __im_(__c.imag()) {}
0317
0318 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 value_type real() const { return __re_; }
0319 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 value_type imag() const { return __im_; }
0320
0321 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; }
0322 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; }
0323
0324 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const value_type& __re) {
0325 __re_ = __re;
0326 __im_ = value_type();
0327 return *this;
0328 }
0329 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const value_type& __re) {
0330 __re_ += __re;
0331 return *this;
0332 }
0333 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const value_type& __re) {
0334 __re_ -= __re;
0335 return *this;
0336 }
0337 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const value_type& __re) {
0338 __re_ *= __re;
0339 __im_ *= __re;
0340 return *this;
0341 }
0342 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const value_type& __re) {
0343 __re_ /= __re;
0344 __im_ /= __re;
0345 return *this;
0346 }
0347
0348 template <class _Xp>
0349 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
0350 __re_ = __c.real();
0351 __im_ = __c.imag();
0352 return *this;
0353 }
0354 template <class _Xp>
0355 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
0356 __re_ += __c.real();
0357 __im_ += __c.imag();
0358 return *this;
0359 }
0360 template <class _Xp>
0361 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
0362 __re_ -= __c.real();
0363 __im_ -= __c.imag();
0364 return *this;
0365 }
0366 template <class _Xp>
0367 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
0368 *this = *this * complex(__c.real(), __c.imag());
0369 return *this;
0370 }
0371 template <class _Xp>
0372 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
0373 *this = *this / complex(__c.real(), __c.imag());
0374 return *this;
0375 }
0376
0377 #if _LIBCPP_STD_VER >= 26
0378 template <size_t _Ip, class _Xp>
0379 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp& get(complex<_Xp>&) noexcept;
0380
0381 template <size_t _Ip, class _Xp>
0382 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp&& get(complex<_Xp>&&) noexcept;
0383
0384 template <size_t _Ip, class _Xp>
0385 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp& get(const complex<_Xp>&) noexcept;
0386
0387 template <size_t _Ip, class _Xp>
0388 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp&& get(const complex<_Xp>&&) noexcept;
0389 #endif
0390 };
0391
0392 template <>
0393 class _LIBCPP_TEMPLATE_VIS complex<double>;
0394 template <>
0395 class _LIBCPP_TEMPLATE_VIS complex<long double>;
0396
0397 struct __from_builtin_tag {};
0398
0399 template <class _Tp>
0400 using __complex_t =
0401 __conditional_t<is_same<_Tp, float>::value,
0402 _Complex float,
0403 __conditional_t<is_same<_Tp, double>::value, _Complex double, _Complex long double> >;
0404
0405 template <class _Tp>
0406 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR __complex_t<_Tp> __make_complex(_Tp __re, _Tp __im) {
0407 #if __has_builtin(__builtin_complex)
0408 return __builtin_complex(__re, __im);
0409 #else
0410 return __complex_t<_Tp>{__re, __im};
0411 #endif
0412 }
0413
0414 template <>
0415 class _LIBCPP_TEMPLATE_VIS complex<float> {
0416 float __re_;
0417 float __im_;
0418
0419 public:
0420 typedef float value_type;
0421
0422 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(float __re = 0.0f, float __im = 0.0f) : __re_(__re), __im_(__im) {}
0423
0424 template <class _Tag, __enable_if_t<_IsSame<_Tag, __from_builtin_tag>::value, int> = 0>
0425 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR explicit complex(_Tag, _Complex float __v)
0426 : __re_(__real__ __v), __im_(__imag__ __v) {}
0427
0428 _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<double>& __c);
0429 _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c);
0430
0431 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float real() const { return __re_; }
0432 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR float imag() const { return __im_; }
0433
0434 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; }
0435 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; }
0436
0437 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _Complex float __builtin() const { return std::__make_complex(__re_, __im_); }
0438 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 void __builtin(_Complex float __f) {
0439 __re_ = __real__ __f;
0440 __im_ = __imag__ __f;
0441 }
0442
0443 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(float __re) {
0444 __re_ = __re;
0445 __im_ = value_type();
0446 return *this;
0447 }
0448 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(float __re) {
0449 __re_ += __re;
0450 return *this;
0451 }
0452 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(float __re) {
0453 __re_ -= __re;
0454 return *this;
0455 }
0456 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(float __re) {
0457 __re_ *= __re;
0458 __im_ *= __re;
0459 return *this;
0460 }
0461 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(float __re) {
0462 __re_ /= __re;
0463 __im_ /= __re;
0464 return *this;
0465 }
0466
0467 template <class _Xp>
0468 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
0469 __re_ = __c.real();
0470 __im_ = __c.imag();
0471 return *this;
0472 }
0473 template <class _Xp>
0474 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
0475 __re_ += __c.real();
0476 __im_ += __c.imag();
0477 return *this;
0478 }
0479 template <class _Xp>
0480 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
0481 __re_ -= __c.real();
0482 __im_ -= __c.imag();
0483 return *this;
0484 }
0485 template <class _Xp>
0486 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
0487 *this = *this * complex(__c.real(), __c.imag());
0488 return *this;
0489 }
0490 template <class _Xp>
0491 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
0492 *this = *this / complex(__c.real(), __c.imag());
0493 return *this;
0494 }
0495
0496 #if _LIBCPP_STD_VER >= 26
0497 template <size_t _Ip, class _Xp>
0498 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp& get(complex<_Xp>&) noexcept;
0499
0500 template <size_t _Ip, class _Xp>
0501 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp&& get(complex<_Xp>&&) noexcept;
0502
0503 template <size_t _Ip, class _Xp>
0504 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp& get(const complex<_Xp>&) noexcept;
0505
0506 template <size_t _Ip, class _Xp>
0507 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp&& get(const complex<_Xp>&&) noexcept;
0508 #endif
0509 };
0510
0511 template <>
0512 class _LIBCPP_TEMPLATE_VIS complex<double> {
0513 double __re_;
0514 double __im_;
0515
0516 public:
0517 typedef double value_type;
0518
0519 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(double __re = 0.0, double __im = 0.0) : __re_(__re), __im_(__im) {}
0520
0521 template <class _Tag, __enable_if_t<_IsSame<_Tag, __from_builtin_tag>::value, int> = 0>
0522 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR explicit complex(_Tag, _Complex double __v)
0523 : __re_(__real__ __v), __im_(__imag__ __v) {}
0524
0525 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<float>& __c);
0526 _LIBCPP_HIDE_FROM_ABI explicit _LIBCPP_CONSTEXPR complex(const complex<long double>& __c);
0527
0528 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double real() const { return __re_; }
0529 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR double imag() const { return __im_; }
0530
0531 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; }
0532 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; }
0533
0534 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _Complex double __builtin() const {
0535 return std::__make_complex(__re_, __im_);
0536 }
0537
0538 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 void __builtin(_Complex double __f) {
0539 __re_ = __real__ __f;
0540 __im_ = __imag__ __f;
0541 }
0542
0543 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(double __re) {
0544 __re_ = __re;
0545 __im_ = value_type();
0546 return *this;
0547 }
0548 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(double __re) {
0549 __re_ += __re;
0550 return *this;
0551 }
0552 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(double __re) {
0553 __re_ -= __re;
0554 return *this;
0555 }
0556 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(double __re) {
0557 __re_ *= __re;
0558 __im_ *= __re;
0559 return *this;
0560 }
0561 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(double __re) {
0562 __re_ /= __re;
0563 __im_ /= __re;
0564 return *this;
0565 }
0566
0567 template <class _Xp>
0568 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
0569 __re_ = __c.real();
0570 __im_ = __c.imag();
0571 return *this;
0572 }
0573 template <class _Xp>
0574 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
0575 __re_ += __c.real();
0576 __im_ += __c.imag();
0577 return *this;
0578 }
0579 template <class _Xp>
0580 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
0581 __re_ -= __c.real();
0582 __im_ -= __c.imag();
0583 return *this;
0584 }
0585 template <class _Xp>
0586 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
0587 *this = *this * complex(__c.real(), __c.imag());
0588 return *this;
0589 }
0590 template <class _Xp>
0591 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
0592 *this = *this / complex(__c.real(), __c.imag());
0593 return *this;
0594 }
0595
0596 #if _LIBCPP_STD_VER >= 26
0597 template <size_t _Ip, class _Xp>
0598 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp& get(complex<_Xp>&) noexcept;
0599
0600 template <size_t _Ip, class _Xp>
0601 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp&& get(complex<_Xp>&&) noexcept;
0602
0603 template <size_t _Ip, class _Xp>
0604 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp& get(const complex<_Xp>&) noexcept;
0605
0606 template <size_t _Ip, class _Xp>
0607 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp&& get(const complex<_Xp>&&) noexcept;
0608 #endif
0609 };
0610
0611 template <>
0612 class _LIBCPP_TEMPLATE_VIS complex<long double> {
0613 long double __re_;
0614 long double __im_;
0615
0616 public:
0617 typedef long double value_type;
0618
0619 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(long double __re = 0.0L, long double __im = 0.0L)
0620 : __re_(__re), __im_(__im) {}
0621
0622 template <class _Tag, __enable_if_t<_IsSame<_Tag, __from_builtin_tag>::value, int> = 0>
0623 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR explicit complex(_Tag, _Complex long double __v)
0624 : __re_(__real__ __v), __im_(__imag__ __v) {}
0625
0626 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<float>& __c);
0627 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR complex(const complex<double>& __c);
0628
0629 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double real() const { return __re_; }
0630 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR long double imag() const { return __im_; }
0631
0632 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void real(value_type __re) { __re_ = __re; }
0633 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 void imag(value_type __im) { __im_ = __im; }
0634
0635 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _Complex long double __builtin() const {
0636 return std::__make_complex(__re_, __im_);
0637 }
0638
0639 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 void __builtin(_Complex long double __f) {
0640 __re_ = __real__ __f;
0641 __im_ = __imag__ __f;
0642 }
0643
0644 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(long double __re) {
0645 __re_ = __re;
0646 __im_ = value_type();
0647 return *this;
0648 }
0649 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(long double __re) {
0650 __re_ += __re;
0651 return *this;
0652 }
0653 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(long double __re) {
0654 __re_ -= __re;
0655 return *this;
0656 }
0657 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(long double __re) {
0658 __re_ *= __re;
0659 __im_ *= __re;
0660 return *this;
0661 }
0662 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(long double __re) {
0663 __re_ /= __re;
0664 __im_ /= __re;
0665 return *this;
0666 }
0667
0668 template <class _Xp>
0669 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator=(const complex<_Xp>& __c) {
0670 __re_ = __c.real();
0671 __im_ = __c.imag();
0672 return *this;
0673 }
0674 template <class _Xp>
0675 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator+=(const complex<_Xp>& __c) {
0676 __re_ += __c.real();
0677 __im_ += __c.imag();
0678 return *this;
0679 }
0680 template <class _Xp>
0681 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator-=(const complex<_Xp>& __c) {
0682 __re_ -= __c.real();
0683 __im_ -= __c.imag();
0684 return *this;
0685 }
0686 template <class _Xp>
0687 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator*=(const complex<_Xp>& __c) {
0688 *this = *this * complex(__c.real(), __c.imag());
0689 return *this;
0690 }
0691 template <class _Xp>
0692 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex& operator/=(const complex<_Xp>& __c) {
0693 *this = *this / complex(__c.real(), __c.imag());
0694 return *this;
0695 }
0696
0697 #if _LIBCPP_STD_VER >= 26
0698 template <size_t _Ip, class _Xp>
0699 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp& get(complex<_Xp>&) noexcept;
0700
0701 template <size_t _Ip, class _Xp>
0702 friend _LIBCPP_HIDE_FROM_ABI constexpr _Xp&& get(complex<_Xp>&&) noexcept;
0703
0704 template <size_t _Ip, class _Xp>
0705 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp& get(const complex<_Xp>&) noexcept;
0706
0707 template <size_t _Ip, class _Xp>
0708 friend _LIBCPP_HIDE_FROM_ABI constexpr const _Xp&& get(const complex<_Xp>&&) noexcept;
0709 #endif
0710 };
0711
0712 inline _LIBCPP_CONSTEXPR complex<float>::complex(const complex<double>& __c) : __re_(__c.real()), __im_(__c.imag()) {}
0713
0714 inline _LIBCPP_CONSTEXPR complex<float>::complex(const complex<long double>& __c)
0715 : __re_(__c.real()), __im_(__c.imag()) {}
0716
0717 inline _LIBCPP_CONSTEXPR complex<double>::complex(const complex<float>& __c) : __re_(__c.real()), __im_(__c.imag()) {}
0718
0719 inline _LIBCPP_CONSTEXPR complex<double>::complex(const complex<long double>& __c)
0720 : __re_(__c.real()), __im_(__c.imag()) {}
0721
0722 inline _LIBCPP_CONSTEXPR complex<long double>::complex(const complex<float>& __c)
0723 : __re_(__c.real()), __im_(__c.imag()) {}
0724
0725 inline _LIBCPP_CONSTEXPR complex<long double>::complex(const complex<double>& __c)
0726 : __re_(__c.real()), __im_(__c.imag()) {}
0727
0728 // 26.3.6 operators:
0729
0730 template <class _Tp>
0731 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0732 operator+(const complex<_Tp>& __x, const complex<_Tp>& __y) {
0733 complex<_Tp> __t(__x);
0734 __t += __y;
0735 return __t;
0736 }
0737
0738 template <class _Tp>
0739 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0740 operator+(const complex<_Tp>& __x, const _Tp& __y) {
0741 complex<_Tp> __t(__x);
0742 __t += __y;
0743 return __t;
0744 }
0745
0746 template <class _Tp>
0747 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0748 operator+(const _Tp& __x, const complex<_Tp>& __y) {
0749 complex<_Tp> __t(__y);
0750 __t += __x;
0751 return __t;
0752 }
0753
0754 template <class _Tp>
0755 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0756 operator-(const complex<_Tp>& __x, const complex<_Tp>& __y) {
0757 complex<_Tp> __t(__x);
0758 __t -= __y;
0759 return __t;
0760 }
0761
0762 template <class _Tp>
0763 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0764 operator-(const complex<_Tp>& __x, const _Tp& __y) {
0765 complex<_Tp> __t(__x);
0766 __t -= __y;
0767 return __t;
0768 }
0769
0770 template <class _Tp>
0771 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0772 operator-(const _Tp& __x, const complex<_Tp>& __y) {
0773 complex<_Tp> __t(-__y);
0774 __t += __x;
0775 return __t;
0776 }
0777
0778 template <class _Tp, __enable_if_t<is_floating_point<_Tp>::value, int> >
0779 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0780 operator*(const complex<_Tp>& __lhs, const complex<_Tp>& __rhs) {
0781 return complex<_Tp>(__from_builtin_tag(), __lhs.__builtin() * __rhs.__builtin());
0782 }
0783
0784 template <class _Tp, __enable_if_t<!is_floating_point<_Tp>::value, int> >
0785 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0786 operator*(const complex<_Tp>& __z, const complex<_Tp>& __w) {
0787 _Tp __a = __z.real();
0788 _Tp __b = __z.imag();
0789 _Tp __c = __w.real();
0790 _Tp __d = __w.imag();
0791
0792 return complex<_Tp>((__a * __c) - (__b * __d), (__a * __d) + (__b * __c));
0793 }
0794
0795 template <class _Tp>
0796 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0797 operator*(const complex<_Tp>& __x, const _Tp& __y) {
0798 complex<_Tp> __t(__x);
0799 __t *= __y;
0800 return __t;
0801 }
0802
0803 template <class _Tp>
0804 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0805 operator*(const _Tp& __x, const complex<_Tp>& __y) {
0806 complex<_Tp> __t(__y);
0807 __t *= __x;
0808 return __t;
0809 }
0810
0811 template <class _Tp, __enable_if_t<is_floating_point<_Tp>::value, int> >
0812 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0813 operator/(const complex<_Tp>& __lhs, const complex<_Tp>& __rhs) {
0814 return complex<_Tp>(__from_builtin_tag(), __lhs.__builtin() / __rhs.__builtin());
0815 }
0816
0817 template <class _Tp, __enable_if_t<!is_floating_point<_Tp>::value, int> >
0818 _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0819 operator/(const complex<_Tp>& __z, const complex<_Tp>& __w) {
0820 _Tp __a = __z.real();
0821 _Tp __b = __z.imag();
0822 _Tp __c = __w.real();
0823 _Tp __d = __w.imag();
0824
0825 _Tp __denom = __c * __c + __d * __d;
0826 return complex<_Tp>((__a * __c + __b * __d) / __denom, (__b * __c - __a * __d) / __denom);
0827 }
0828
0829 template <class _Tp>
0830 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0831 operator/(const complex<_Tp>& __x, const _Tp& __y) {
0832 return complex<_Tp>(__x.real() / __y, __x.imag() / __y);
0833 }
0834
0835 template <class _Tp>
0836 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp>
0837 operator/(const _Tp& __x, const complex<_Tp>& __y) {
0838 complex<_Tp> __t(__x);
0839 __t /= __y;
0840 return __t;
0841 }
0842
0843 template <class _Tp>
0844 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator+(const complex<_Tp>& __x) {
0845 return __x;
0846 }
0847
0848 template <class _Tp>
0849 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> operator-(const complex<_Tp>& __x) {
0850 return complex<_Tp>(-__x.real(), -__x.imag());
0851 }
0852
0853 template <class _Tp>
0854 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool
0855 operator==(const complex<_Tp>& __x, const complex<_Tp>& __y) {
0856 return __x.real() == __y.real() && __x.imag() == __y.imag();
0857 }
0858
0859 template <class _Tp>
0860 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator==(const complex<_Tp>& __x, const _Tp& __y) {
0861 return __x.real() == __y && __x.imag() == 0;
0862 }
0863
0864 #if _LIBCPP_STD_VER <= 17
0865
0866 template <class _Tp>
0867 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator==(const _Tp& __x, const complex<_Tp>& __y) {
0868 return __x == __y.real() && 0 == __y.imag();
0869 }
0870
0871 template <class _Tp>
0872 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool
0873 operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y) {
0874 return !(__x == __y);
0875 }
0876
0877 template <class _Tp>
0878 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator!=(const complex<_Tp>& __x, const _Tp& __y) {
0879 return !(__x == __y);
0880 }
0881
0882 template <class _Tp>
0883 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 bool operator!=(const _Tp& __x, const complex<_Tp>& __y) {
0884 return !(__x == __y);
0885 }
0886
0887 #endif
0888
0889 // 26.3.7 values:
0890
0891 template <class _Tp, bool = is_integral<_Tp>::value, bool = is_floating_point<_Tp>::value >
0892 struct __libcpp_complex_overload_traits {};
0893
0894 // Integral Types
0895 template <class _Tp>
0896 struct __libcpp_complex_overload_traits<_Tp, true, false> {
0897 typedef double _ValueType;
0898 typedef complex<double> _ComplexType;
0899 };
0900
0901 // Floating point types
0902 template <class _Tp>
0903 struct __libcpp_complex_overload_traits<_Tp, false, true> {
0904 typedef _Tp _ValueType;
0905 typedef complex<_Tp> _ComplexType;
0906 };
0907
0908 // real
0909
0910 template <class _Tp>
0911 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp real(const complex<_Tp>& __c) {
0912 return __c.real();
0913 }
0914
0915 template <class _Tp>
0916 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 typename __libcpp_complex_overload_traits<_Tp>::_ValueType
0917 real(_Tp __re) {
0918 return __re;
0919 }
0920
0921 // imag
0922
0923 template <class _Tp>
0924 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 _Tp imag(const complex<_Tp>& __c) {
0925 return __c.imag();
0926 }
0927
0928 template <class _Tp>
0929 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX14 typename __libcpp_complex_overload_traits<_Tp>::_ValueType
0930 imag(_Tp) {
0931 return 0;
0932 }
0933
0934 // abs
0935
0936 template <class _Tp>
0937 inline _LIBCPP_HIDE_FROM_ABI _Tp abs(const complex<_Tp>& __c) {
0938 return std::hypot(__c.real(), __c.imag());
0939 }
0940
0941 // arg
0942
0943 template <class _Tp>
0944 inline _LIBCPP_HIDE_FROM_ABI _Tp arg(const complex<_Tp>& __c) {
0945 return std::atan2(__c.imag(), __c.real());
0946 }
0947
0948 template <class _Tp, __enable_if_t<is_same<_Tp, long double>::value, int> = 0>
0949 inline _LIBCPP_HIDE_FROM_ABI long double arg(_Tp __re) {
0950 return std::atan2l(0.L, __re);
0951 }
0952
0953 template <class _Tp, __enable_if_t<is_integral<_Tp>::value || is_same<_Tp, double>::value, int> = 0>
0954 inline _LIBCPP_HIDE_FROM_ABI double arg(_Tp __re) {
0955 return std::atan2(0., __re);
0956 }
0957
0958 template <class _Tp, __enable_if_t<is_same<_Tp, float>::value, int> = 0>
0959 inline _LIBCPP_HIDE_FROM_ABI float arg(_Tp __re) {
0960 return std::atan2f(0.F, __re);
0961 }
0962
0963 // norm
0964
0965 template <class _Tp>
0966 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 _Tp norm(const complex<_Tp>& __c) {
0967 if (std::__constexpr_isinf(__c.real()))
0968 return std::abs(__c.real());
0969 if (std::__constexpr_isinf(__c.imag()))
0970 return std::abs(__c.imag());
0971 return __c.real() * __c.real() + __c.imag() * __c.imag();
0972 }
0973
0974 template <class _Tp>
0975 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 typename __libcpp_complex_overload_traits<_Tp>::_ValueType
0976 norm(_Tp __re) {
0977 typedef typename __libcpp_complex_overload_traits<_Tp>::_ValueType _ValueType;
0978 return static_cast<_ValueType>(__re) * __re;
0979 }
0980
0981 // conj
0982
0983 template <class _Tp>
0984 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 complex<_Tp> conj(const complex<_Tp>& __c) {
0985 return complex<_Tp>(__c.real(), -__c.imag());
0986 }
0987
0988 template <class _Tp>
0989 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX20 typename __libcpp_complex_overload_traits<_Tp>::_ComplexType
0990 conj(_Tp __re) {
0991 typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType;
0992 return _ComplexType(__re);
0993 }
0994
0995 // proj
0996
0997 template <class _Tp>
0998 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> proj(const complex<_Tp>& __c) {
0999 complex<_Tp> __r = __c;
1000 if (std::__constexpr_isinf(__c.real()) || std::__constexpr_isinf(__c.imag()))
1001 __r = complex<_Tp>(INFINITY, std::copysign(_Tp(0), __c.imag()));
1002 return __r;
1003 }
1004
1005 template <class _Tp, __enable_if_t<is_floating_point<_Tp>::value, int> = 0>
1006 inline _LIBCPP_HIDE_FROM_ABI typename __libcpp_complex_overload_traits<_Tp>::_ComplexType proj(_Tp __re) {
1007 if (std::__constexpr_isinf(__re))
1008 __re = std::abs(__re);
1009 return complex<_Tp>(__re);
1010 }
1011
1012 template <class _Tp, __enable_if_t<is_integral<_Tp>::value, int> = 0>
1013 inline _LIBCPP_HIDE_FROM_ABI typename __libcpp_complex_overload_traits<_Tp>::_ComplexType proj(_Tp __re) {
1014 typedef typename __libcpp_complex_overload_traits<_Tp>::_ComplexType _ComplexType;
1015 return _ComplexType(__re);
1016 }
1017
1018 // polar
1019
1020 template <class _Tp>
1021 _LIBCPP_HIDE_FROM_ABI complex<_Tp> polar(const _Tp& __rho, const _Tp& __theta = _Tp()) {
1022 if (std::__constexpr_isnan(__rho) || std::signbit(__rho))
1023 return complex<_Tp>(_Tp(NAN), _Tp(NAN));
1024 if (std::__constexpr_isnan(__theta)) {
1025 if (std::__constexpr_isinf(__rho))
1026 return complex<_Tp>(__rho, __theta);
1027 return complex<_Tp>(__theta, __theta);
1028 }
1029 if (std::__constexpr_isinf(__theta)) {
1030 if (std::__constexpr_isinf(__rho))
1031 return complex<_Tp>(__rho, _Tp(NAN));
1032 return complex<_Tp>(_Tp(NAN), _Tp(NAN));
1033 }
1034 _Tp __x = __rho * std::cos(__theta);
1035 if (std::__constexpr_isnan(__x))
1036 __x = 0;
1037 _Tp __y = __rho * std::sin(__theta);
1038 if (std::__constexpr_isnan(__y))
1039 __y = 0;
1040 return complex<_Tp>(__x, __y);
1041 }
1042
1043 // log
1044
1045 template <class _Tp>
1046 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> log(const complex<_Tp>& __x) {
1047 return complex<_Tp>(std::log(std::abs(__x)), std::arg(__x));
1048 }
1049
1050 // log10
1051
1052 template <class _Tp>
1053 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> log10(const complex<_Tp>& __x) {
1054 return std::log(__x) / std::log(_Tp(10));
1055 }
1056
1057 // sqrt
1058
1059 template <class _Tp>
1060 _LIBCPP_HIDE_FROM_ABI complex<_Tp> sqrt(const complex<_Tp>& __x) {
1061 if (std::__constexpr_isinf(__x.imag()))
1062 return complex<_Tp>(_Tp(INFINITY), __x.imag());
1063 if (std::__constexpr_isinf(__x.real())) {
1064 if (__x.real() > _Tp(0))
1065 return complex<_Tp>(
1066 __x.real(), std::__constexpr_isnan(__x.imag()) ? __x.imag() : std::copysign(_Tp(0), __x.imag()));
1067 return complex<_Tp>(
1068 std::__constexpr_isnan(__x.imag()) ? __x.imag() : _Tp(0), std::copysign(__x.real(), __x.imag()));
1069 }
1070 return std::polar(std::sqrt(std::abs(__x)), std::arg(__x) / _Tp(2));
1071 }
1072
1073 // exp
1074
1075 template <class _Tp>
1076 _LIBCPP_HIDE_FROM_ABI complex<_Tp> exp(const complex<_Tp>& __x) {
1077 _Tp __i = __x.imag();
1078 if (__i == 0) {
1079 return complex<_Tp>(std::exp(__x.real()), std::copysign(_Tp(0), __x.imag()));
1080 }
1081 if (std::__constexpr_isinf(__x.real())) {
1082 if (__x.real() < _Tp(0)) {
1083 if (!std::__constexpr_isfinite(__i))
1084 __i = _Tp(1);
1085 } else if (__i == 0 || !std::__constexpr_isfinite(__i)) {
1086 if (std::__constexpr_isinf(__i))
1087 __i = _Tp(NAN);
1088 return complex<_Tp>(__x.real(), __i);
1089 }
1090 }
1091 _Tp __e = std::exp(__x.real());
1092 return complex<_Tp>(__e * std::cos(__i), __e * std::sin(__i));
1093 }
1094
1095 // pow
1096
1097 template <class _Tp>
1098 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> pow(const complex<_Tp>& __x, const complex<_Tp>& __y) {
1099 return std::exp(__y * std::log(__x));
1100 }
1101
1102 template <class _Tp, class _Up>
1103 inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type>
1104 pow(const complex<_Tp>& __x, const complex<_Up>& __y) {
1105 typedef complex<typename __promote<_Tp, _Up>::type> result_type;
1106 return std::pow(result_type(__x), result_type(__y));
1107 }
1108
1109 template <class _Tp, class _Up, __enable_if_t<is_arithmetic<_Up>::value, int> = 0>
1110 inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> pow(const complex<_Tp>& __x, const _Up& __y) {
1111 typedef complex<typename __promote<_Tp, _Up>::type> result_type;
1112 return std::pow(result_type(__x), result_type(__y));
1113 }
1114
1115 template <class _Tp, class _Up, __enable_if_t<is_arithmetic<_Tp>::value, int> = 0>
1116 inline _LIBCPP_HIDE_FROM_ABI complex<typename __promote<_Tp, _Up>::type> pow(const _Tp& __x, const complex<_Up>& __y) {
1117 typedef complex<typename __promote<_Tp, _Up>::type> result_type;
1118 return std::pow(result_type(__x), result_type(__y));
1119 }
1120
1121 // __sqr, computes pow(x, 2)
1122
1123 template <class _Tp>
1124 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> __sqr(const complex<_Tp>& __x) {
1125 return complex<_Tp>((__x.real() - __x.imag()) * (__x.real() + __x.imag()), _Tp(2) * __x.real() * __x.imag());
1126 }
1127
1128 // asinh
1129
1130 template <class _Tp>
1131 _LIBCPP_HIDE_FROM_ABI complex<_Tp> asinh(const complex<_Tp>& __x) {
1132 const _Tp __pi(atan2(+0., -0.));
1133 if (std::__constexpr_isinf(__x.real())) {
1134 if (std::__constexpr_isnan(__x.imag()))
1135 return __x;
1136 if (std::__constexpr_isinf(__x.imag()))
1137 return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag()));
1138 return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag()));
1139 }
1140 if (std::__constexpr_isnan(__x.real())) {
1141 if (std::__constexpr_isinf(__x.imag()))
1142 return complex<_Tp>(__x.imag(), __x.real());
1143 if (__x.imag() == 0)
1144 return __x;
1145 return complex<_Tp>(__x.real(), __x.real());
1146 }
1147 if (std::__constexpr_isinf(__x.imag()))
1148 return complex<_Tp>(std::copysign(__x.imag(), __x.real()), std::copysign(__pi / _Tp(2), __x.imag()));
1149 complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) + _Tp(1)));
1150 return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag()));
1151 }
1152
1153 // acosh
1154
1155 template <class _Tp>
1156 _LIBCPP_HIDE_FROM_ABI complex<_Tp> acosh(const complex<_Tp>& __x) {
1157 const _Tp __pi(atan2(+0., -0.));
1158 if (std::__constexpr_isinf(__x.real())) {
1159 if (std::__constexpr_isnan(__x.imag()))
1160 return complex<_Tp>(std::abs(__x.real()), __x.imag());
1161 if (std::__constexpr_isinf(__x.imag())) {
1162 if (__x.real() > 0)
1163 return complex<_Tp>(__x.real(), std::copysign(__pi * _Tp(0.25), __x.imag()));
1164 else
1165 return complex<_Tp>(-__x.real(), std::copysign(__pi * _Tp(0.75), __x.imag()));
1166 }
1167 if (__x.real() < 0)
1168 return complex<_Tp>(-__x.real(), std::copysign(__pi, __x.imag()));
1169 return complex<_Tp>(__x.real(), std::copysign(_Tp(0), __x.imag()));
1170 }
1171 if (std::__constexpr_isnan(__x.real())) {
1172 if (std::__constexpr_isinf(__x.imag()))
1173 return complex<_Tp>(std::abs(__x.imag()), __x.real());
1174 return complex<_Tp>(__x.real(), __x.real());
1175 }
1176 if (std::__constexpr_isinf(__x.imag()))
1177 return complex<_Tp>(std::abs(__x.imag()), std::copysign(__pi / _Tp(2), __x.imag()));
1178 complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1)));
1179 return complex<_Tp>(std::copysign(__z.real(), _Tp(0)), std::copysign(__z.imag(), __x.imag()));
1180 }
1181
1182 // atanh
1183
1184 template <class _Tp>
1185 _LIBCPP_HIDE_FROM_ABI complex<_Tp> atanh(const complex<_Tp>& __x) {
1186 const _Tp __pi(atan2(+0., -0.));
1187 if (std::__constexpr_isinf(__x.imag())) {
1188 return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi / _Tp(2), __x.imag()));
1189 }
1190 if (std::__constexpr_isnan(__x.imag())) {
1191 if (std::__constexpr_isinf(__x.real()) || __x.real() == 0)
1192 return complex<_Tp>(std::copysign(_Tp(0), __x.real()), __x.imag());
1193 return complex<_Tp>(__x.imag(), __x.imag());
1194 }
1195 if (std::__constexpr_isnan(__x.real())) {
1196 return complex<_Tp>(__x.real(), __x.real());
1197 }
1198 if (std::__constexpr_isinf(__x.real())) {
1199 return complex<_Tp>(std::copysign(_Tp(0), __x.real()), std::copysign(__pi / _Tp(2), __x.imag()));
1200 }
1201 if (std::abs(__x.real()) == _Tp(1) && __x.imag() == _Tp(0)) {
1202 return complex<_Tp>(std::copysign(_Tp(INFINITY), __x.real()), std::copysign(_Tp(0), __x.imag()));
1203 }
1204 complex<_Tp> __z = std::log((_Tp(1) + __x) / (_Tp(1) - __x)) / _Tp(2);
1205 return complex<_Tp>(std::copysign(__z.real(), __x.real()), std::copysign(__z.imag(), __x.imag()));
1206 }
1207
1208 // sinh
1209
1210 template <class _Tp>
1211 _LIBCPP_HIDE_FROM_ABI complex<_Tp> sinh(const complex<_Tp>& __x) {
1212 if (std::__constexpr_isinf(__x.real()) && !std::__constexpr_isfinite(__x.imag()))
1213 return complex<_Tp>(__x.real(), _Tp(NAN));
1214 if (__x.real() == 0 && !std::__constexpr_isfinite(__x.imag()))
1215 return complex<_Tp>(__x.real(), _Tp(NAN));
1216 if (__x.imag() == 0 && !std::__constexpr_isfinite(__x.real()))
1217 return __x;
1218 return complex<_Tp>(std::sinh(__x.real()) * std::cos(__x.imag()), std::cosh(__x.real()) * std::sin(__x.imag()));
1219 }
1220
1221 // cosh
1222
1223 template <class _Tp>
1224 _LIBCPP_HIDE_FROM_ABI complex<_Tp> cosh(const complex<_Tp>& __x) {
1225 if (std::__constexpr_isinf(__x.real()) && !std::__constexpr_isfinite(__x.imag()))
1226 return complex<_Tp>(std::abs(__x.real()), _Tp(NAN));
1227 if (__x.real() == 0 && !std::__constexpr_isfinite(__x.imag()))
1228 return complex<_Tp>(_Tp(NAN), __x.real());
1229 if (__x.real() == 0 && __x.imag() == 0)
1230 return complex<_Tp>(_Tp(1), __x.imag());
1231 if (__x.imag() == 0 && !std::__constexpr_isfinite(__x.real()))
1232 return complex<_Tp>(std::abs(__x.real()), __x.imag());
1233 return complex<_Tp>(std::cosh(__x.real()) * std::cos(__x.imag()), std::sinh(__x.real()) * std::sin(__x.imag()));
1234 }
1235
1236 // tanh
1237
1238 template <class _Tp>
1239 _LIBCPP_HIDE_FROM_ABI complex<_Tp> tanh(const complex<_Tp>& __x) {
1240 if (std::__constexpr_isinf(__x.real())) {
1241 if (!std::__constexpr_isfinite(__x.imag()))
1242 return complex<_Tp>(std::copysign(_Tp(1), __x.real()), _Tp(0));
1243 return complex<_Tp>(std::copysign(_Tp(1), __x.real()), std::copysign(_Tp(0), std::sin(_Tp(2) * __x.imag())));
1244 }
1245 if (std::__constexpr_isnan(__x.real()) && __x.imag() == 0)
1246 return __x;
1247 _Tp __2r(_Tp(2) * __x.real());
1248 _Tp __2i(_Tp(2) * __x.imag());
1249 _Tp __d(std::cosh(__2r) + std::cos(__2i));
1250 _Tp __2rsh(std::sinh(__2r));
1251 if (std::__constexpr_isinf(__2rsh) && std::__constexpr_isinf(__d))
1252 return complex<_Tp>(__2rsh > _Tp(0) ? _Tp(1) : _Tp(-1), __2i > _Tp(0) ? _Tp(0) : _Tp(-0.));
1253 return complex<_Tp>(__2rsh / __d, std::sin(__2i) / __d);
1254 }
1255
1256 // asin
1257
1258 template <class _Tp>
1259 _LIBCPP_HIDE_FROM_ABI complex<_Tp> asin(const complex<_Tp>& __x) {
1260 complex<_Tp> __z = std::asinh(complex<_Tp>(-__x.imag(), __x.real()));
1261 return complex<_Tp>(__z.imag(), -__z.real());
1262 }
1263
1264 // acos
1265
1266 template <class _Tp>
1267 _LIBCPP_HIDE_FROM_ABI complex<_Tp> acos(const complex<_Tp>& __x) {
1268 const _Tp __pi(atan2(+0., -0.));
1269 if (std::__constexpr_isinf(__x.real())) {
1270 if (std::__constexpr_isnan(__x.imag()))
1271 return complex<_Tp>(__x.imag(), __x.real());
1272 if (std::__constexpr_isinf(__x.imag())) {
1273 if (__x.real() < _Tp(0))
1274 return complex<_Tp>(_Tp(0.75) * __pi, -__x.imag());
1275 return complex<_Tp>(_Tp(0.25) * __pi, -__x.imag());
1276 }
1277 if (__x.real() < _Tp(0))
1278 return complex<_Tp>(__pi, std::signbit(__x.imag()) ? -__x.real() : __x.real());
1279 return complex<_Tp>(_Tp(0), std::signbit(__x.imag()) ? __x.real() : -__x.real());
1280 }
1281 if (std::__constexpr_isnan(__x.real())) {
1282 if (std::__constexpr_isinf(__x.imag()))
1283 return complex<_Tp>(__x.real(), -__x.imag());
1284 return complex<_Tp>(__x.real(), __x.real());
1285 }
1286 if (std::__constexpr_isinf(__x.imag()))
1287 return complex<_Tp>(__pi / _Tp(2), -__x.imag());
1288 if (__x.real() == 0 && (__x.imag() == 0 || std::isnan(__x.imag())))
1289 return complex<_Tp>(__pi / _Tp(2), -__x.imag());
1290 complex<_Tp> __z = std::log(__x + std::sqrt(std::__sqr(__x) - _Tp(1)));
1291 if (std::signbit(__x.imag()))
1292 return complex<_Tp>(std::abs(__z.imag()), std::abs(__z.real()));
1293 return complex<_Tp>(std::abs(__z.imag()), -std::abs(__z.real()));
1294 }
1295
1296 // atan
1297
1298 template <class _Tp>
1299 _LIBCPP_HIDE_FROM_ABI complex<_Tp> atan(const complex<_Tp>& __x) {
1300 complex<_Tp> __z = std::atanh(complex<_Tp>(-__x.imag(), __x.real()));
1301 return complex<_Tp>(__z.imag(), -__z.real());
1302 }
1303
1304 // sin
1305
1306 template <class _Tp>
1307 _LIBCPP_HIDE_FROM_ABI complex<_Tp> sin(const complex<_Tp>& __x) {
1308 complex<_Tp> __z = std::sinh(complex<_Tp>(-__x.imag(), __x.real()));
1309 return complex<_Tp>(__z.imag(), -__z.real());
1310 }
1311
1312 // cos
1313
1314 template <class _Tp>
1315 inline _LIBCPP_HIDE_FROM_ABI complex<_Tp> cos(const complex<_Tp>& __x) {
1316 return std::cosh(complex<_Tp>(-__x.imag(), __x.real()));
1317 }
1318
1319 // tan
1320
1321 template <class _Tp>
1322 _LIBCPP_HIDE_FROM_ABI complex<_Tp> tan(const complex<_Tp>& __x) {
1323 complex<_Tp> __z = std::tanh(complex<_Tp>(-__x.imag(), __x.real()));
1324 return complex<_Tp>(__z.imag(), -__z.real());
1325 }
1326
1327 #if !defined(_LIBCPP_HAS_NO_LOCALIZATION)
1328 template <class _Tp, class _CharT, class _Traits>
1329 _LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
1330 operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x) {
1331 if (__is.good()) {
1332 std::ws(__is);
1333 if (__is.peek() == _CharT('(')) {
1334 __is.get();
1335 _Tp __r;
1336 __is >> __r;
1337 if (!__is.fail()) {
1338 std::ws(__is);
1339 _CharT __c = __is.peek();
1340 if (__c == _CharT(',')) {
1341 __is.get();
1342 _Tp __i;
1343 __is >> __i;
1344 if (!__is.fail()) {
1345 std::ws(__is);
1346 __c = __is.peek();
1347 if (__c == _CharT(')')) {
1348 __is.get();
1349 __x = complex<_Tp>(__r, __i);
1350 } else
1351 __is.setstate(__is.failbit);
1352 } else
1353 __is.setstate(__is.failbit);
1354 } else if (__c == _CharT(')')) {
1355 __is.get();
1356 __x = complex<_Tp>(__r, _Tp(0));
1357 } else
1358 __is.setstate(__is.failbit);
1359 } else
1360 __is.setstate(__is.failbit);
1361 } else {
1362 _Tp __r;
1363 __is >> __r;
1364 if (!__is.fail())
1365 __x = complex<_Tp>(__r, _Tp(0));
1366 else
1367 __is.setstate(__is.failbit);
1368 }
1369 } else
1370 __is.setstate(__is.failbit);
1371 return __is;
1372 }
1373
1374 template <class _Tp, class _CharT, class _Traits>
1375 _LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&
1376 operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x) {
1377 basic_ostringstream<_CharT, _Traits> __s;
1378 __s.flags(__os.flags());
1379 __s.imbue(__os.getloc());
1380 __s.precision(__os.precision());
1381 __s << '(' << __x.real() << ',' << __x.imag() << ')';
1382 return __os << __s.str();
1383 }
1384 #endif // !_LIBCPP_HAS_NO_LOCALIZATION
1385
1386 #if _LIBCPP_STD_VER >= 26
1387
1388 // [complex.tuple], tuple interface
1389
1390 template <class _Tp>
1391 struct tuple_size<complex<_Tp>> : integral_constant<size_t, 2> {};
1392
1393 template <size_t _Ip, class _Tp>
1394 struct tuple_element<_Ip, complex<_Tp>> {
1395 static_assert(_Ip < 2, "Index value is out of range.");
1396 using type = _Tp;
1397 };
1398
1399 template <size_t _Ip, class _Xp>
1400 _LIBCPP_HIDE_FROM_ABI constexpr _Xp& get(complex<_Xp>& __z) noexcept {
1401 static_assert(_Ip < 2, "Index value is out of range.");
1402 if constexpr (_Ip == 0) {
1403 return __z.__re_;
1404 } else {
1405 return __z.__im_;
1406 }
1407 }
1408
1409 template <size_t _Ip, class _Xp>
1410 _LIBCPP_HIDE_FROM_ABI constexpr _Xp&& get(complex<_Xp>&& __z) noexcept {
1411 static_assert(_Ip < 2, "Index value is out of range.");
1412 if constexpr (_Ip == 0) {
1413 return std::move(__z.__re_);
1414 } else {
1415 return std::move(__z.__im_);
1416 }
1417 }
1418
1419 template <size_t _Ip, class _Xp>
1420 _LIBCPP_HIDE_FROM_ABI constexpr const _Xp& get(const complex<_Xp>& __z) noexcept {
1421 static_assert(_Ip < 2, "Index value is out of range.");
1422 if constexpr (_Ip == 0) {
1423 return __z.__re_;
1424 } else {
1425 return __z.__im_;
1426 }
1427 }
1428
1429 template <size_t _Ip, class _Xp>
1430 _LIBCPP_HIDE_FROM_ABI constexpr const _Xp&& get(const complex<_Xp>&& __z) noexcept {
1431 static_assert(_Ip < 2, "Index value is out of range.");
1432 if constexpr (_Ip == 0) {
1433 return std::move(__z.__re_);
1434 } else {
1435 return std::move(__z.__im_);
1436 }
1437 }
1438
1439 #endif // _LIBCPP_STD_VER >= 26
1440
1441 #if _LIBCPP_STD_VER >= 14
1442 // Literal suffix for complex number literals [complex.literals]
1443 inline namespace literals {
1444 inline namespace complex_literals {
1445 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(long double __im) { return {0.0l, __im}; }
1446
1447 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<long double> operator""il(unsigned long long __im) {
1448 return {0.0l, static_cast<long double>(__im)};
1449 }
1450
1451 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(long double __im) {
1452 return {0.0, static_cast<double>(__im)};
1453 }
1454
1455 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<double> operator""i(unsigned long long __im) {
1456 return {0.0, static_cast<double>(__im)};
1457 }
1458
1459 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(long double __im) {
1460 return {0.0f, static_cast<float>(__im)};
1461 }
1462
1463 _LIBCPP_HIDE_FROM_ABI inline constexpr complex<float> operator""if(unsigned long long __im) {
1464 return {0.0f, static_cast<float>(__im)};
1465 }
1466 } // namespace complex_literals
1467 } // namespace literals
1468 #endif
1469
1470 _LIBCPP_END_NAMESPACE_STD
1471
1472 _LIBCPP_POP_MACROS
1473
1474 #if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
1475 # include <__cxx03/iosfwd>
1476 # include <__cxx03/stdexcept>
1477 # include <__cxx03/type_traits>
1478 #endif
1479
1480 #endif // _LIBCPP___CXX03_COMPLEX
