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(1) |
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template< class T > std::complex<T> operator+( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator+( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(2) |
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template< class T > std::complex<T> operator+( const std::complex<T>& lhs, const T& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator+( const std::complex<T>& lhs, const T& rhs );
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(since C++20) |
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(3) |
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template< class T > std::complex<T> operator+( const T& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator+( const T& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(4) |
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template< class T > std::complex<T> operator-( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator-( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(5) |
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template< class T > std::complex<T> operator-( const std::complex<T>& lhs, const T& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator-( const std::complex<T>& lhs, const T& rhs );
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(since C++20) |
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(6) |
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template< class T > std::complex<T> operator-( const T& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator-( const T& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(7) |
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template< class T > std::complex<T> operator*( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator*( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(8) |
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template< class T > std::complex<T> operator*( const std::complex<T>& lhs, const T& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator*( const std::complex<T>& lhs, const T& rhs );
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(since C++20) |
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(9) |
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template< class T > std::complex<T> operator*( const T& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator*( const T& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(10) |
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template< class T > std::complex<T> operator/( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator/( const std::complex<T>& lhs, const std::complex<T>& rhs );
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(since C++20) |
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(11) |
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template< class T > std::complex<T> operator/( const std::complex<T>& lhs, const T& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator/( const std::complex<T>& lhs, const T& rhs );
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(since C++20) |
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(12) |
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template< class T > std::complex<T> operator/( const T& lhs, const std::complex<T>& rhs );
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(until C++20) |
| template< class T > constexpr std::complex<T> operator/( const T& lhs, const std::complex<T>& rhs );
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(since C++20) |
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Implements the binary operators for complex arithmetic and for mixed complex/scalar arithmetic. Scalar arguments are treated as complex numbers with the real part equal to the argument and the imaginary part set to zero.
1-3) Returns the sum of its arguments.
4-6) Returns the result of subtracting rhs from lhs.
7-9) Multiplies its arguments.
10-12) Divides lhs by rhs.
Parameters
| lhs, rhs
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the arguments: either both complex numbers or one complex and one scalar of matching type (float, double, long double)
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Return value
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
Notes
Because template argument deduction does not consider implicit conversions, these operators cannot be used for mixed integer/complex arithmetic. In all cases, the scalar must have the same type as the underlying type of the complex number.
The GCC flag "-fcx-limited-range" (included by "-ffast-math") changes the behavior of complex multiply/division by removing checks for floating point edge cases. This impacts loop vectorization.
Example
#include <complex>
#include <iostream>
int main()
{
std::complex<double> c2(2.0, 0.0);
std::complex<double> ci(0.0, 1.0);
std::cout << ci << " + " << c2 << " = " << ci + c2 << '\n'
<< ci << " * " << ci << " = " << ci * ci << '\n'
<< ci << " + " << c2 << " / " << ci << " = " << ci + c2 / ci << '\n'
<< 1 << " / " << ci << " = " << 1.0 / ci << '\n';
// std::cout << 1.0f / ci; // compile error
// std::cout << 1 / ci; // compile error
}
Output:
(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)
See also