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| author | Alejandro Colomar <alx@kernel.org> | 2024-04-26 15:06:49 +0200 |
|---|---|---|
| committer | Alejandro Colomar <alx@kernel.org> | 2024-05-02 01:24:19 +0200 |
| commit | dcde2f70372b49ec43efc5db864c9ff585d0a2dd (patch) | |
| tree | 78b9b7425130e4a5858e4c01a524d802423879ed /man/man7/complex.7 | |
| parent | 12aca537ce78a41bbcdaf485209691e10f8002d7 (diff) | |
| download | man-pages-dcde2f70372b49ec43efc5db864c9ff585d0a2dd.tar.gz | |
man/, share/mk/: Move man*/ to man/
This is a scripted change:
$ mkdir man/;
$ mv man* man/;
$ ln -st . man/man*;
$ find share/mk/ -type f \
| xargs grep -l '^MANDIR *:=' \
| xargs sed -i '/^MANDIR *:=/s,$,/man,';
$ find share/mk/dist/ -type f \
| xargs grep -l man \
| xargs sed -i 's,man%,man/%,g';
Link: <https://lore.kernel.org/linux-man/YxcV4h+Xn7cd6+q2@pevik/T/>
Cc: Petr Vorel <pvorel@suse.cz>
Cc: Jakub Wilk <jwilk@jwilk.net>
Cc: Stefan Puiu <stefan.puiu@gmail.com>
Signed-off-by: Alejandro Colomar <alx@kernel.org>
Diffstat (limited to 'man/man7/complex.7')
| -rw-r--r-- | man/man7/complex.7 | 83 |
1 files changed, 83 insertions, 0 deletions
diff --git a/man/man7/complex.7 b/man/man7/complex.7 new file mode 100644 index 0000000000..fa8cb2631c --- /dev/null +++ b/man/man7/complex.7 @@ -0,0 +1,83 @@ +.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) +.\" +.\" SPDX-License-Identifier: GPL-1.0-or-later +.\" +.TH complex 7 (date) "Linux man-pages (unreleased)" +.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) |