125 lines
3.3 KiB
Groff
125 lines
3.3 KiB
Groff
.\" Copyright (c) 2011 Murray Stokely <murray@FreeBSD.org>
|
|
.\" All rights reserved.
|
|
.\"
|
|
.\" Redistribution and use in source and binary forms, with or without
|
|
.\" modification, are permitted provided that the following conditions
|
|
.\" are met:
|
|
.\" 1. Redistributions of source code must retain the above copyright
|
|
.\" notice, this list of conditions and the following disclaimer.
|
|
.\" 2. Redistributions in binary form must reproduce the above copyright
|
|
.\" notice, this list of conditions and the following disclaimer in the
|
|
.\" documentation and/or other materials provided with the distribution.
|
|
.\"
|
|
.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND
|
|
.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
.\" ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE
|
|
.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
|
.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
|
.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
|
.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|
.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
|
.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
|
.\" SUCH DAMAGE.
|
|
.\"
|
|
.\" $FreeBSD$
|
|
.\"
|
|
.Dd October 17, 2011
|
|
.Dt COMPLEX 3
|
|
.Os
|
|
.Sh NAME
|
|
.Nm complex
|
|
.Nd "complex arithmetic"
|
|
.Sh LIBRARY
|
|
.Lb libm
|
|
.Sh SYNOPSIS
|
|
.In complex.h
|
|
.Sh DESCRIPTION
|
|
These functions support complex arithmetic in the C math library.
|
|
.Sh "LIST OF FUNCTIONS"
|
|
Each of the following
|
|
.Vt "double complex"
|
|
functions has a
|
|
.Vt "float complex"
|
|
counterpart with an
|
|
.Ql f
|
|
appended to the name and a
|
|
.Vt "long double complex"
|
|
counterpart with an
|
|
.Ql l
|
|
appended.
|
|
As an example, the
|
|
.Vt "float complex"
|
|
and
|
|
.Vt "long double complex"
|
|
counterparts of
|
|
.Ft double
|
|
.Fn cabs "double complex z"
|
|
are
|
|
.Ft float
|
|
.Fn cabsf "float complex z"
|
|
and
|
|
.Ft "long double"
|
|
.Fn cabsl "long double complex z" ,
|
|
respectively.
|
|
.de Cl
|
|
.Bl -column "csqrt" "complex absolute value (i.e. norm, modulus, magnitude)"
|
|
.Em "Name Description"
|
|
..
|
|
.\" Section 7.3.5 - 7.3.7 of ISO C99 standard unimplemented, see BUGS
|
|
.\" Section 7.3.8 of ISO C99 standard
|
|
.Ss Absolute-value Functions
|
|
.Cl
|
|
cabs complex absolute value (i.e. norm, modulus, magnitude)
|
|
csqrt complex square root
|
|
.El
|
|
.Ss Exponential Function
|
|
.Cl
|
|
cexp exponential base e
|
|
.El
|
|
.\" Section 7.3.9 of ISO C99 standard
|
|
.Ss Manipulation Functions
|
|
.Cl
|
|
carg compute the argument (i.e. phase angle)
|
|
cimag compute the imaginary part
|
|
conj compute the complex conjugate
|
|
cproj compute projection onto Riemann sphere
|
|
creal compute the real part
|
|
.El
|
|
.\" Section 7.3.5-6 of ISO C99 standard
|
|
.Ss Trigonometric and Hyperbolic Functions
|
|
.Cl
|
|
cacos arc cosine
|
|
cacosh arc hyperbolic cosine
|
|
casin arc sine
|
|
casinh arc hyperbolic sine
|
|
catan arc tangent
|
|
catanh arc hyperbolic tangent
|
|
ccos cosine
|
|
ccosh hyperbolic cosine
|
|
csin sine
|
|
csinh hyperbolic sine
|
|
ctan tangent
|
|
ctanh hyperbolic tangent
|
|
.El
|
|
.Sh SEE ALSO
|
|
.Xr fenv 3 ,
|
|
.Xr ieee 3 ,
|
|
.Xr math 3 ,
|
|
.Xr tgmath 3
|
|
.Rs
|
|
.%T "ISO/IEC 9899:TC3"
|
|
.%U http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1256.pdf
|
|
.Re
|
|
.Sh STANDARDS
|
|
The
|
|
.In complex.h
|
|
functions described here conform to
|
|
.St -isoC-99 .
|
|
.Sh BUGS
|
|
The logarithmic functions
|
|
.Fn clog
|
|
and the power functions
|
|
.Fn cpow
|
|
are not implemented.
|