operator+,-,*,/ (std::complex)

 

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std::complex

成员函数
complex::complex
complex::operator=
complex::real
complex::imag
complex::operator+=complex::operator-=complex::operator*=complex::operator/=
非成员函数
operator+operator- operator+operator-operator*operator/ operator==operator!= (C++20 前) operator<<operator>>	real imag abs arg norm conj proj (C++11) polar operator""ioperator""ifoperator""il (C++14)(C++14)(C++14)
指数函数
exp
log
log10
幂函数
pow
sqrt
三角函数
sin cos tan	asin (C++11) acos (C++11) atan (C++11)
双曲函数
sinh cosh tanh	asinh (C++11) acosh (C++11) atanh (C++11)

 

(1)

template< class T > std::complex<T> operator+( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator+( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 起)

(2)

template< class T > std::complex<T> operator+( const std::complex<T>& lhs, const T& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator+( const std::complex<T>& lhs, const T& rhs);

(C++20 起)

(3)

template< class T > std::complex<T> operator+( const T& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator+( const T& lhs, const std::complex<T>& rhs);

(C++20 起)

(4)

template< class T > std::complex<T> operator-( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator-( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 起)

(5)

template< class T > std::complex<T> operator-( const std::complex<T>& lhs, const T& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator-( const std::complex<T>& lhs, const T& rhs);

(C++20 起)

(6)

template< class T > std::complex<T> operator-( const T& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator-( const T& lhs, const std::complex<T>& rhs);

(C++20 起)

(7)

template< class T > std::complex<T> operator*( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator*( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 起)

(8)

template< class T > std::complex<T> operator*( const std::complex<T>& lhs, const T& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator*( const std::complex<T>& lhs, const T& rhs);

(C++20 起)

(9)

template< class T > std::complex<T> operator*( const T& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator*( const T& lhs, const std::complex<T>& rhs);

(C++20 起)

(10)

template< class T > std::complex<T> operator/( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator/( const std::complex<T>& lhs, const std::complex<T>& rhs);

(C++20 起)

(11)

template< class T > std::complex<T> operator/( const std::complex<T>& lhs, const T& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator/( const std::complex<T>& lhs, const T& rhs);

(C++20 起)

(12)

template< class T > std::complex<T> operator/( const T& lhs, const std::complex<T>& rhs);

(C++20 前)

template< class T > constexpr std::complex<T> operator/( const T& lhs, const std::complex<T>& rhs);

(C++20 起)

为复数运算和混合复数/标量运算实现二元运算符。将标量当做拥有等于参数的实部和设为零的虚部的复数。

1-3) 返回其参数的和

4-6) 返回从 lhs 减去 rhs 的结果

7-9) 将参数相乘

10-12) lhs 除以 rhs

参数

lhs, rhs

-

参数：两个复数，或一个复数与一个拥有匹配类型的标量（ float 、 double 、 long double ）

返回值

1-3) std::complex<T>(lhs) += rhs

4-6) std::complex<T>(lhs) -= rhs

7-9) std::complex<T>(lhs) *= rhs

10-12) std::complex<T>(lhs) /= rhs

注意

模板实参推导不考虑隐式转换，故这些运算符不能用于整数/复数混合运算。所有情况下，标量必须与复数的底层类型拥有相同类型。

GCC 标志 "-fcx-limited-range" （包含于 "-ffast-math" ）更改复数乘/除的行为，移除浮点极端情况的检查。这会影响向量化。

示例

运行此代码

#include <iostream>
#include <complex>
int main()
{
    std::complex<double> c2(2, 0);
    std::complex<double> ci(0, 1);
 
    std::cout << ci << " + " << c2 << " = " << ci+c2 << '\n'
              << ci << " * " << ci << " = " << ci*ci << '\n'
              << ci << " + " << c2 << " / " << ci << " = " << ci+c2/ci << '\n'
              << 1  << " / " << ci << " = " << 1./ci << '\n';
 
//    std::cout << 1.f/ci; // 编译错误
//    std::cout << 1/ci; // 编译错误
}

输出：

(0,1) + (2,0) = (2,1)
(0,1) * (0,1) = (-1,0)
(0,1) + (2,0) / (0,1) = (0,-1)
1 / (0,1) = (0,-1)

参阅

operator+=operator-=operator*=operator/=	两个复数，或一个复数与一个标量的复合赋值 (公开成员函数)
operator+operator-	对复数运用一元运算符 (函数模板)