2011-02-20 06:29:00 +01:00
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.\" Copyright (c) 2011 Murray Stokely <murray@FreeBSD.org>
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" $FreeBSD$
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.\"
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2011-10-17 07:41:03 +02:00
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.Dd October 17, 2011
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2011-02-20 06:29:00 +01:00
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.Dt COMPLEX 3
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.Os
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.Sh NAME
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.Nm complex
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.Nd "complex arithmetic"
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.Sh LIBRARY
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.Lb libm
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.Sh SYNOPSIS
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.In complex.h
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.Sh DESCRIPTION
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These functions support complex arithmetic in the C math library.
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.Sh "LIST OF FUNCTIONS"
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Each of the following
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.Vt "double complex"
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functions has a
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.Vt "float complex"
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counterpart with an
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.Ql f
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appended to the name and a
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.Vt "long double complex"
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counterpart with an
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.Ql l
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appended.
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As an example, the
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.Vt "float complex"
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and
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.Vt "long double complex"
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counterparts of
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.Ft double
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.Fn cabs "double complex z"
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are
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.Ft float
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.Fn cabsf "float complex z"
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and
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.Ft "long double"
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.Fn cabsl "long double complex z" ,
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respectively.
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.de Cl
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.Bl -column "csqrt" "complex absolute value (i.e. norm, modulus, magnitude)"
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.Em "Name Description"
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..
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.\" Section 7.3.5 - 7.3.7 of ISO C99 standard unimplemented, see BUGS
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.\" Section 7.3.8 of ISO C99 standard
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.Ss Absolute-value Functions
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.Cl
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cabs complex absolute value (i.e. norm, modulus, magnitude)
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csqrt complex square root
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.El
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2011-03-07 09:54:20 +01:00
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.Ss Exponential Function
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.Cl
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cexp exponential base e
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.El
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2011-02-20 06:29:00 +01:00
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.\" Section 7.3.9 of ISO C99 standard
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.Ss Manipulation Functions
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.Cl
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carg compute the argument (i.e. phase angle)
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cimag compute the imaginary part
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conj compute the complex conjugate
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cproj compute projection onto Riemann sphere
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creal compute the real part
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.El
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2011-10-17 07:41:03 +02:00
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.\" Section 7.3.5-6 of ISO C99 standard
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.Ss Trigonometric and Hyperbolic Functions
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.Cl
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2013-05-30 06:49:26 +02:00
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cacos arc cosine
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cacosh arc hyperbolic cosine
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casin arc sine
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casinh arc hyperbolic sine
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catan arc tangent
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catanh arc hyperbolic tangent
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2011-10-17 07:41:03 +02:00
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ccos cosine
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ccosh hyperbolic cosine
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csin sine
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csinh hyperbolic sine
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ctan tangent
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ctanh hyperbolic tangent
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.El
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2011-02-20 06:29:00 +01:00
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.Sh SEE ALSO
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.Xr fenv 3 ,
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.Xr ieee 3 ,
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2014-12-27 09:22:58 +01:00
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.Xr math 3 ,
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2011-02-20 06:29:00 +01:00
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.Xr tgmath 3
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.Rs
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.%T "ISO/IEC 9899:TC3"
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.%U http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1256.pdf
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.Re
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.Sh STANDARDS
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The
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.In complex.h
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functions described here conform to
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.St -isoC-99 .
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.Sh BUGS
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2011-03-07 09:54:20 +01:00
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The logarithmic functions
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2011-02-20 06:29:00 +01:00
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.Fn clog
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2013-05-30 06:49:26 +02:00
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and the power functions
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2011-02-20 06:29:00 +01:00
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.Fn cpow
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are not implemented.
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