.\" Copyright (c) 2011 Murray Stokely <murray@FreeBSD.org>
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.Dd March 7, 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
.Sh SEE ALSO
.Xr math 3 ,
.Xr fenv 3 ,
.Xr ieee 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 trigonmetric and hyperbolic functions
.Fn cacos ,
.Fn cacosh ,
.Fn casin ,
.Fn casinh ,
.Fn catan ,
.Fn catanh ,
.Fn ccos ,
.Fn ccosh ,
.Fn csin ,
.Fn csinh ,
.Fn ctan ,
and
.Fn ctanh
are not implemented.
.Pp
The logarithmic functions
.Fn clog
are not implemented.
.Pp
The power functions
.Fn cpow
are not implemented.