norm

Returns the square of the absolute value.

Defined in header <complex.h>

Syntax

#include <complex.h>
double norm(complex  x);

Portability

Remarks

norm can overflow if either the real or imaginary part is sufficiently large.

Return value

norm(x) returns the magnitude real(x) * real(x) + imag(x) * imag(x).

See also

• arg
• complex
• polar

Example

#include <complex.h>

int main(void)
{
   double X = 3.1, y = 4.2;
   complex z = complex(x,y);
   cout << "z = " << z << "\n";
   cout << "  has real part = " << real(z) <<  "\n";
   cout << "  and imaginary real part    " « imag(z) <<  "\n";
   cout << "z has complex conjugate =   << conj (z) << "\n";
   double mag = sqrt(norm(z));
   double ang = arg(z);
   cout <<  The polar form of z is:\n";
   cout <<     magnitude = " << mag <<  "\n"; e
   cout <<     angle (in radians) = " << ang <<  "\n";
   cout << "Reconstructing z from its polar form gives :\n";
   cout <<     z - " «  polar (mag,ang) << "\n";
   return 0

Differences from modern implementations

Nothing recorded yet.

Modern references

• Microsoft C runtime (search)

These are search links, not yet checked by hand.

Stable link: /3.1/complex.h/norm/ · short form /3.1/norm/