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-.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
-.\"
-.\" SPDX-License-Identifier: GPL-1.0-or-later
-.\"
-.TH complex 7 2023-10-31 "Linux man-pages 6.7"
-.SH NAME
-complex \- basics of complex mathematics
-.SH LIBRARY
-Math library
-.RI ( libm ", " \-lm )
-.SH SYNOPSIS
-.nf
-.B #include <complex.h>
-.fi
-.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.
-.P
-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)).
-.P
-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
-.P
-Nearly all math function have a complex counterpart but there are
-some complex-only functions.
-.SH EXAMPLES
-Your C-compiler can work with complex numbers if it supports the C99 standard.
-The imaginary unit is represented by I.
-.P
-.EX
-/* 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\en", creal(z), cimag(z));
-}
-.EE
-.SH SEE ALSO
-.BR cabs (3),
-.BR cacos (3),
-.BR cacosh (3),
-.BR carg (3),
-.BR casin (3),
-.BR casinh (3),
-.BR catan (3),
-.BR catanh (3),
-.BR ccos (3),
-.BR ccosh (3),
-.BR cerf (3),
-.BR cexp (3),
-.BR cexp2 (3),
-.BR cimag (3),
-.BR clog (3),
-.BR clog10 (3),
-.BR clog2 (3),
-.BR conj (3),
-.BR cpow (3),
-.BR cproj (3),
-.BR creal (3),
-.BR csin (3),
-.BR csinh (3),
-.BR csqrt (3),
-.BR ctan (3),
-.BR ctanh (3)