< cpp‎ | numeric‎ | complex
Defined in header <complex>
template< class T >
T norm( const complex<T>& z );
long double norm( long double z );
(2) (since C++11)
template< class DoubleOrInteger >
double norm( DoubleOrInteger z );
(3) (since C++11)
float norm( float z );
(4) (since C++11)

Returns the squared magnitude of the complex number z.

(since C++11)Additional overloads are provided for float, double, long double, and all integer types, which are treated as complex numbers with zero imaginary component.


[edit] Parameters

z - complex value

[edit] Return value

the squared magnitude of z

[edit] Notes

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).

[edit] See also

returns the magnitude of a complex number
(function template) [edit]
returns the complex conjugate
(function template) [edit]
constructs a complex number from magnitude and phase angle
(function template) [edit]