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authorMichael Kerrisk <mtk.manpages@gmail.com>2006-04-21 01:21:26 +0000
committerMichael Kerrisk <mtk.manpages@gmail.com>2006-04-21 01:21:26 +0000
commit4334d114e9da094493daee0ee0c9abdcfaeb1ad1 (patch)
tree69eb75fefc5e00b22120be7be839a7162847bc97
parent481aaca1a5fa966ece74d8b578cc9be987f2c04f (diff)
downloadman-pages-4334d114e9da094493daee0ee0c9abdcfaeb1ad1.tar.gz
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-.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
-.\" Distributed under GPL
-.\"
-.TH COMPLEX 5 2002-07-28 "" "complex math"
-.SH NAME
-complex \- basics of complex mathematics
-.SH SYNOPSIS
-.B #include <complex.h>
-.SH 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.
-.br
-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)).
-.PP
-The basic operations are defined on z = a+b*i and w = c+d*i as:
-.TP
-.B addition: z+w = (a+c) + (b+d)*i
-.TP
-.B multiplication: z*w = (a*c \- b*d) + (a*d + b*c)*i
-.TP
-.B division: z/w = ((a*c + b*d)/(c*c + d*d)) + ((b*c \- a*d)/(c*c + d*d))*i
-.PP
-Nearly all math function have a complex counterpart but there are
-some complex only functions.
-.SH 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.
-.sp
-.nf
-/* 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));
-}
-.fi
-.SH "SEE ALSO"
-.BR cabs (3),
-.BR carg (3),
-.BR cexp (3),
-.BR cimag (3),
-.BR creal (3)
+.so man7/complex.7
+.\" FIXME . this link will eventually be removed (created Apr 2006)