NAME  SYNOPSIS  DESCRIPTION  EXAMPLE  SEE ALSO  COLOPHON 

COMPLEX(7) Linux Programmer's Manual COMPLEX(7)
complex  basics of complex mathematics
#include <complex.h>
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 complexonly functions.
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 <stdio.h> #include <complex.h> int main(void) { double pi = 4 * atan(1.0); double complex z = cexp(I * pi); printf("%f + %f * i\n", creal(z), cimag(z)); }
cabs(3), cacos(3), cacosh(3), carg(3), casin(3), casinh(3), catan(3), catanh(3), ccos(3), ccosh(3), cerf(3), cexp(3), cexp2(3), cimag(3), clog(3), clog10(3), clog2(3), conj(3), cpow(3), cproj(3), creal(3), csin(3), csinh(3), csqrt(3), ctan(3), ctanh(3)
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20110916 COMPLEX(7)
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