046e2d5db1
The change implements cexpl() for both ld80 and ld128 architectures.
Testing was done on x86_64 and aarch64 systems.
Along the way sincos[fl]() use an optimization that reduces the argument
to being done one rather than twice. This optimization actually pointed
to a bug in the ld128 version of sincosl(), which is now fixed. In
addition, the minmax polynomial coefficients for sincosl() have been
updated.
A concise log of the file-by-file changes follows.
* include/complex.h:
. Add a prototype for cexpl().
* lib/msun/Makefile:
. Add s_cexpl.c to the build.
. Setup a link for cexpl.3 to cexp.3.
* lib/msun/Symbol.map:
. Expose cexpl symbol in libm shared library.
* lib/msun/ld128/s_cexpl.c:
* Implementation of cexpl() for 128-bit long double architectures.
Tested on an aarch64 system.
* lib/msun/ld80/s_cexpl.c:
* Implementation of cexpl() for Intel 80-bit long double.
* lib/msun/man/cexp.3:
. Document cexpl().
* lib/msun/man/complex.3:
. Add a BUGS section about cpow[fl].
* lib/msun/src/s_cexp.c:
. Include float.h for weak references on 53-bit long double targets.
. Use sincos() to reduce argument reduction cost.
* lib/msun/src/s_cexpf.c:
. Use sincosf() to reduce argument reduction cost.
* lib/msun/src/k_sincosl.h:
. Catch up with the new minmax polynomial coefficients for the kernel for
the 128-bit cosl() implementation.
. BUG FIX: *cs was used where *sn should have been. This means that sinl()
was no computed correctly when iy != 0.
* lib/msun/src/s_cosl.c:
. Include fpmath.h to get access to IEEEl2bits.
. Replace M_PI_4 with pio4, a 64-bit or 113-bit approximation for pi / 4.
PR: 216862
MFC after: 1 week
130 lines
3.4 KiB
Groff
130 lines
3.4 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 November 3, 2021
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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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.Sh BUGS
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The power functions,
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.Fn cpowf, cpow ,
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and
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.Fn cpowl ,
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are implemented, but the code was neither reviewed nor tested.
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