标准库头文件 <complex>
此头文件是数值库的一部分。
类
复数类型 (类模板) | |
复数类型 (类模板特化) |
函数
运算 | |
对复数运用一元运算符 (函数模板) | |
在两个复数,或一个复数与一个标量上进行复数算术运算 (函数模板) | |
(C++20 中移除) |
比较两个复数,或一个复数与一个标量 (函数模板) |
复数的序列化和反序列化 (函数模板) | |
返回实部 (函数模板) | |
返回虚部 (函数模板) | |
返回复数的模 (函数模板) | |
返回辐角 (函数模板) | |
返回模(范数)的平方 (函数模板) | |
返回复共轭 (函数模板) | |
(C++11) |
返回到黎曼球上的投影 (函数模板) |
从模和辐角构造复数 (函数模板) | |
指数函数 | |
以 e 为底复数的指数 (函数模板) | |
沿负实轴切割的复自然对数 (函数模板) | |
沿负实轴分割的复常用对数 (函数模板) | |
幂函数 | |
复数幂,一或两个参数可为复数 (函数模板) | |
右半平面范围中的复平方根 (函数模板) | |
三角函数 | |
计算复数的正弦( sin(z) ) (函数模板) | |
计算复数的余弦( cos(z) ) (函数模板) | |
计算复数的正切( tan(z) ) (函数模板) | |
(C++11) |
计算复数的反正弦( arcsin(z) ) (函数模板) |
(C++11) |
计算复数的反余弦( arccos(z) ) (函数模板) |
(C++11) |
计算复数的反正切( arctan(z) ) (函数模板) |
双曲函数 | |
计算复数的双曲正弦( sinh(z) ) (函数模板) | |
计算复数的双曲余弦( cosh(z) ) (函数模板) | |
计算复数的双曲正切( tanh(z) ) (函数模板) | |
(C++11) |
计算复数的反双曲正弦( arsinh(z) ) (函数模板) |
(C++11) |
计算复数的反双曲余弦( arcosh(z) ) (函数模板) |
(C++11) |
计算复数的反双曲正切( artanh(z) ) (函数模板) |
字面量 | |
表示纯虚数的 std::complex 字面量 (函数) |
概要
namespace std { template<class T> class complex; template<> class complex<float>; template<> class complex<double>; template<> class complex<long double>; // 运算符: template<class T> constexpr complex<T> operator+( const complex<T>&, const complex<T>&); template<class T> constexpr complex<T> operator+(const complex<T>&, const T&); template<class T> constexpr complex<T> operator+(const T&, const complex<T>&); template<class T> constexpr complex<T> operator-( const complex<T>&, const complex<T>&); template<class T> constexpr complex<T> operator-(const complex<T>&, const T&); template<class T> constexpr complex<T> operator-(const T&, const complex<T>&); template<class T> constexpr complex<T> operator*( const complex<T>&, const complex<T>&); template<class T> constexpr complex<T> operator*(const complex<T>&, const T&); template<class T> constexpr complex<T> operator*(const T&, const complex<T>&); template<class T> constexpr complex<T> operator/( const complex<T>&, const complex<T>&); template<class T> constexpr complex<T> operator/(const complex<T>&, const T&); template<class T> constexpr complex<T> operator/(const T&, const complex<T>&); template<class T> constexpr complex<T> operator+(const complex<T>&); template<class T> constexpr complex<T> operator-(const complex<T>&); template<class T> constexpr bool operator==( const complex<T>&, const complex<T>&); template<class T> constexpr bool operator==(const complex<T>&, const T&); template<class T> constexpr bool operator==(const T&, const complex<T>&); template<class T> constexpr bool operator!=(const complex<T>&, const complex<T>&); template<class T> constexpr bool operator!=(const complex<T>&, const T&); template<class T> constexpr bool operator!=(const T&, const complex<T>&); 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>&); // 值: template<class T> constexpr T real(const complex<T>&); template<class T> constexpr T imag(const complex<T>&); template<class T> T abs(const complex<T>&); template<class T> T arg(const complex<T>&); template<class T> constexpr T norm(const complex<T>&); template<class T> constexpr complex<T> conj(const complex<T>&); template<class T> complex<T> proj(const complex<T>&); template<class T> complex<T> polar(const T&, const T& = 0); // 超越函数: 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>&); // 复数字面量: inline namespace literals { inline namespace complex_literals { constexpr complex<long double> operator""il(long double); constexpr complex<long double> operator""il(unsigned long long); constexpr complex<double> operator""i(long double); constexpr complex<double> operator""i(unsigned long long); constexpr complex<float> operator""if(long double); constexpr complex<float> operator""if(unsigned long long); } } }
类 std::complex
template<class T> class complex { public: typedef T value_type; constexpr complex(const T& re = T(), const T& im = T()); constexpr complex(const complex&); template<class X> constexpr complex(const complex<X>&); constexpr T real() const; constexpr void real(T); constexpr T imag() const; constexpr void imag(T); constexpr complex<T>& operator= (const T&); constexpr complex<T>& operator+=(const T&); constexpr complex<T>& operator-=(const T&); constexpr complex<T>& operator*=(const T&); constexpr complex<T>& operator/=(const T&); constexpr complex& operator=(const complex&); template<class X> constexpr complex<T>& operator= (const complex<X>&); template<class X> constexpr complex<T>& operator+=(const complex<X>&); template<class X> constexpr complex<T>& operator-=(const complex<X>&); template<class X> constexpr complex<T>& operator*=(const complex<X>&); template<class X> constexpr complex<T>& operator/=(const complex<X>&); };
std::complex 特化
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; constexpr void real(float); constexpr float imag() const; constexpr void imag(float); constexpr complex<float>& operator= (float); constexpr complex<float>& operator+=(float); constexpr complex<float>& operator-=(float); constexpr complex<float>& operator*=(float); constexpr complex<float>& operator/=(float); constexpr complex<float>& operator=(const complex<float>&); template<class X> constexpr complex<float>& operator= (const complex<X>&); template<class X> constexpr complex<float>& operator+=(const complex<X>&); template<class X> constexpr complex<float>& operator-=(const complex<X>&); template<class X> constexpr complex<float>& operator*=(const complex<X>&); template<class X> constexpr 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; constexpr void real(double); constexpr double imag() const; constexpr void imag(double); constexpr complex<double>& operator= (double); constexpr complex<double>& operator+=(double); constexpr complex<double>& operator-=(double); constexpr complex<double>& operator*=(double); constexpr complex<double>& operator/=(double); constexpr complex<double>& operator=(const complex<double>&); template<class X> constexpr complex<double>& operator= (const complex<X>&); template<class X> constexpr complex<double>& operator+=(const complex<X>&); template<class X> constexpr complex<double>& operator-=(const complex<X>&); template<class X> constexpr complex<double>& operator*=(const complex<X>&); template<class X> constexpr 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; constexpr void real(long double); constexpr long double imag() const; constexpr void imag(long double); constexpr complex<long double>& operator=(const complex<long double>&); constexpr complex<long double>& operator= (long double); constexpr complex<long double>& operator+=(long double); constexpr complex<long double>& operator-=(long double); constexpr complex<long double>& operator*=(long double); constexpr complex<long double>& operator/=(long double); template<class X> constexpr complex<long double>& operator= (const complex<X>&); template<class X> constexpr complex<long double>& operator+=(const complex<X>&); template<class X> constexpr complex<long double>& operator-=(const complex<X>&); template<class X> constexpr complex<long double>& operator*=(const complex<X>&); template<class X> constexpr complex<long double>& operator/=(const complex<X>&); };