COMPLEX(7) Linux Programmer's Manual COMPLEX(7)
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 Y-coor-
dinates. 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.
EXAMPLE
Your C-compiler 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));
}
SEE 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 3.74 of the Linux man-pages project. A
description of the project, information about reporting bugs, and the
latest version of this page, can be found at
http://www.kernel.org/doc/man-pages/.
2011-09-16 COMPLEX(7)
Czas wygenerowania: 0.00050 sek.
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