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| author | Alejandro Colomar <alx.manpages@gmail.com> | 2022-09-05 23:03:38 +0200 |
|---|---|---|
| committer | Alejandro Colomar <alx.manpages@gmail.com> | 2022-09-05 23:03:47 +0200 |
| commit | 70ac1c4785fc1e158ab2349a962dba2526bf4fbc (patch) | |
| tree | bff270e2496dd284bccfc1271b43946f5d225224 /man/man7/complex.7 | |
| parent | 5423a6f86b2b920a5f3e8cf8d759b513050f2d33 (diff) | |
| download | man-pages-70ac1c4785fc1e158ab2349a962dba2526bf4fbc.tar.gz | |
src.mk, All pages: Move man* to man/
The root of the repository is becoming a bit overpopulated and
unorganized, due to the recent addition of more mandirs, and more
informative and configuration files too. Let's create a specific
mandir <man/> that contains the mandirs <man[1-8]*>.
Signed-off-by: Alejandro Colomar <alx.manpages@gmail.com>
Diffstat (limited to 'man/man7/complex.7')
| -rw-r--r-- | man/man7/complex.7 | 81 |
1 files changed, 81 insertions, 0 deletions
diff --git a/man/man7/complex.7 b/man/man7/complex.7 new file mode 100644 index 0000000000..66ea8b7074 --- /dev/null +++ b/man/man7/complex.7 @@ -0,0 +1,81 @@ +.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) +.\" +.\" SPDX-License-Identifier: GPL-1.0-or-later +.\" +.TH COMPLEX 7 2021-03-22 "Linux man-pages (unreleased)" +.SH NAME +complex \- basics of complex mathematics +.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. +.PP +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 EXAMPLES +Your C-compiler can work with complex numbers if it supports the C99 standard. +Link with \fI\-lm\fP. +The imaginary unit is represented by I. +.PP +.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) |