6813d08ff5
This corresponds to the latest status (hasn't changed in 9+ years) from openbsd of ld80/ld128 powl, and source cpowf, cpow, cpowl (the complex power functions for float complex, double complex, and long double complex) which are required for C99 compliance and were missing from FreeBSD. Also required for some numerical codes using complex numbered Hamiltonians. Thanks to jhb for tracking down the issue with making weak_reference compile on powerpc. When asked to review, bde said "I don't like it" - but provided no actionable feedback or superior implementations. Discussed with: jhb Submitted by: jmd Differential Revision: https://reviews.freebsd.org/D15919
124 lines
3.3 KiB
Groff
124 lines
3.3 KiB
Groff
.\" 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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.Dd June 19, 2018
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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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.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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.Ss Natural logarithm Function
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.Cl
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clog natural logarithm
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.El
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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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.\" 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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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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ccos cosine
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ccosh hyperbolic cosine
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cpow power function
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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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.Sh SEE ALSO
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.Xr fenv 3 ,
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.Xr ieee 3 ,
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.Xr math 3 ,
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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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