COMPLEX
Section: complex math (7)
Updated: 20020728
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NAME
complex  basics of complex mathematics
SYNOPSIS
#include <complex.h>
DESCRIPTION
Complex numbers are numbers of the form z = a+b*i, where a and b are
real numbers and i = sqrt(1), so that i*i = 1.
There are other ways to represent that number. The pair (a,b) of real
numbers may be viewed as a point in the plane, given by X and
Ycoordinates. This same point may also be described by giving
the pair of real numbers (r,phi), where r is the distance to the origin O,
and phi the angle between the Xaxis and the line Oz. Now
z = r*exp(i*phi) = r*(cos(phi)+i*sin(phi)).
The basic operations are defined on z = a+b*i and w = c+d*i as:
 addition: z+w = (a+c) + (b+d)*i

 multiplication: z*w = (a*c  b*d) + (a*d + b*c)*i

 division: z/w = ((a*c + b*d)/(c*c + d*d)) + ((b*c  a*d)/(c*c + d*d))*i

Nearly all math function have a complex counterpart but there are
some complex only functions.
EXAMPLE
Your Ccompiler can work with complex numbers if it supports the C99 standard.
Link with lm. The imaginary unit is represented by I.
/* check that exp(i*pi) == 1 */
#include <math.h> /* for atan */
#include <complex.h>
main() {
double pi = 4*atan(1);
complex z = cexp(I*pi);
printf("%f+%f*i\n", creal(z), cimag(z));
}
SEE ALSO
cabs(3),
carg(3),
cexp(3),
cimag(3),
creal(3)
Index
 NAME

 SYNOPSIS

 DESCRIPTION

 EXAMPLE

 SEE ALSO

linux.jgfs.net manual pages