# complex(7) [centos man page]

COMPLEX(7) Linux Programmer's Manual COMPLEX(7)NAME

complex - basics of complex mathematicsSYNOPSIS

#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 =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 Y- coordinates. 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 X-axis 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.-1.EXAMPLE

Your C-compiler can work with complex numbers if it supports the C99 standard. Link withThe imaginary unit is represented by I. /* check that exp(i * pi) ==-lm.*/ #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 ", creal(z), cimag(z)); }-1SEE ALSO

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)COLOPHON

This page is part of release 3.53 of the Linux man-pages project. A description of the project, and information about reporting bugs, can be found at http://www.kernel.org/doc/man-pages/. 2011-09-16 COMPLEX(7)

## Check Out this Related Man Page

COMPLEX(7) Linux Programmer's Manual COMPLEX(7)NAME

complex - basics of complex mathematicsSYNOPSIS

#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 =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 Y- coordinates. 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 X-axis 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.-1.EXAMPLE

Your C-compiler can work with complex numbers if it supports the C99 standard. Link withThe imaginary unit is represented by I. /* check that exp(i * pi) ==-lm.*/ #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 ", creal(z), cimag(z)); }-1SEE ALSO

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)COLOPHON

This page is part of release 3.55 of the Linux man-pages project. A description of the project, and information about reporting bugs, can be found at http://www.kernel.org/doc/man-pages/. 2011-09-16 COMPLEX(7)