Defined in header <complex> | ||
|---|---|---|
| (1) | ||
template< class T > T norm( const std::complex<T>& z ); | (until C++20) | |
template< class T > constexpr T norm( const std::complex<T>& z ); | (since C++20) | |
| (2) | ||
float norm( float z ); template< class DoubleOrInteger > double norm( DoubleOrInteger z ); long double norm( long double z ); | (since C++11) (until C++20) | |
constexpr float norm( float z ); template< class DoubleOrInteger > constexpr double norm( DoubleOrInteger z ); constexpr long double norm( long double z ); | (since C++20) |
z. 2) Additional overloads are provided for float, double, long double, and all integer types, which are treated as complex numbers with zero imaginary component. | (since C++11) |
| z | - | complex value |
the squared magnitude of z.
The norm calculated by this function is also known as field norm or absolute square.
The Euclidean norm of a complex number is provided by std::abs, which is more costly to compute. In some situations, it may be replaced by std::norm, for example, if abs(z1) > abs(z2) then norm(z1) > norm(z2).
| returns the magnitude of a complex number (function template) |
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| returns the complex conjugate (function template) |
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| constructs a complex number from magnitude and phase angle (function template) |
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