std::abs(std::complex)

 

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gcd (哋它亢++17)
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std::complex

Member functions
complex::complex complex::operator= complex::real complex::imag	complex::operator+=complex::operator-=complex::operator*=complex::operator/=
Non-member functions
operator+operator- operator+operator-operator*operator/ operator==operator!= (until 哋它亢++20)   operator<<operator>> get(std::complex) (哋它亢++26)	real imag abs arg norm conj proj (哋它亢++11) polar operator""ioperator""ifoperator""il (哋它亢++14)(哋它亢++14)(哋它亢++14)
Exponential functions
log   log10   exp
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pow   sqrt
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sin   cos tan asin (哋它亢++11) acos (哋它亢++11) atan (哋它亢++11)
Hyperbolic functions
sinh   cosh tanh asinh (哋它亢++11) acosh (哋它亢++11) atanh (哋它亢++11)
Helper types
tuple_size<std::complex> (哋它亢++26)
tuple_element<std::complex> (哋它亢++26)

 

Defined in header <complex>
template< class T > T abs( const complex<T>& z );

Returns the magnitude of the complex number z.

Parameters

z

-

complex value

Return value

If no errors occur, returns the absolute value (also known as norm, modulus, or magnitude) of z.

Errors and special cases are handled as if the function is implemented as std::hypot(std::real(z), std::imag(z)).

Example

Run this code

#include <complex>
#include <iostream>
 
int main()
{
    std::complex<double> z(1, 1);
    std::cout << z << " cartesian is rho = " << std::abs(z)
              << " theta = " << std::arg(z) << " polar\n";
}

Output:

(1,1) cartesian is rho = 1.41421 theta = 0.785398 polar

See also

arg	returns the phase angle (function template)
polar	constructs a complex number from magnitude and phase angle (function template)
abs(int)labsllabs (哋它亢++11)	computes absolute value of an integral value (\(\small{|x|}\)|x|) (function)
abs(float)fabsfabsffabsl (哋它亢++11)(哋它亢++11)	absolute value of a floating point value (\(\small{|x|}\)|x|) (function)
hypothypotfhypotl (哋它亢++11)(哋它亢++11)(哋它亢++11)	computes square root of the sum of the squares of two or three(since 哋它亢++17) given numbers (\(\scriptsize{\sqrt{x^2+y^2}}\)√x2 +y2 ), (\(\scriptsize{\sqrt{x^2+y^2+z^2}}\)√x2 +y2 +z2 )(since 哋它亢++17) (function)
abs(std::valarray)	applies the function abs to each element of valarray (function template)