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
141 lines
4.7 KiB
C
141 lines
4.7 KiB
C
/*-
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* SPDX-License-Identifier: BSD-2-Clause-FreeBSD
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*
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* Copyright (c) 2001-2011 The FreeBSD Project.
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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 AND CONTRIBUTORS ``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 OR CONTRIBUTORS 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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#ifndef _COMPLEX_H
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#define _COMPLEX_H
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#include <sys/cdefs.h>
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#ifdef __GNUC__
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#if __STDC_VERSION__ < 199901
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#define _Complex __complex__
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#endif
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#define _Complex_I ((float _Complex)1.0i)
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#endif
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#ifdef __generic
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_Static_assert(__generic(_Complex_I, float _Complex, 1, 0),
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"_Complex_I must be of type float _Complex");
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#endif
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#define complex _Complex
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#define I _Complex_I
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#if __ISO_C_VISIBLE >= 2011
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#ifdef __clang__
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#define CMPLX(x, y) ((double complex){ x, y })
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#define CMPLXF(x, y) ((float complex){ x, y })
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#define CMPLXL(x, y) ((long double complex){ x, y })
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#elif __GNUC_PREREQ__(4, 7)
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#define CMPLX(x, y) __builtin_complex((double)(x), (double)(y))
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#define CMPLXF(x, y) __builtin_complex((float)(x), (float)(y))
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#define CMPLXL(x, y) __builtin_complex((long double)(x), (long double)(y))
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#endif
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#endif /* __ISO_C_VISIBLE >= 2011 */
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__BEGIN_DECLS
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double cabs(double complex);
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float cabsf(float complex);
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long double cabsl(long double complex);
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double complex cacos(double complex);
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float complex cacosf(float complex);
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double complex cacosh(double complex);
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float complex cacoshf(float complex);
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long double complex
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cacoshl(long double complex);
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long double complex
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cacosl(long double complex);
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double carg(double complex);
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float cargf(float complex);
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long double cargl(long double complex);
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double complex casin(double complex);
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float complex casinf(float complex);
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double complex casinh(double complex);
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float complex casinhf(float complex);
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long double complex
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casinhl(long double complex);
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long double complex
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casinl(long double complex);
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double complex catan(double complex);
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float complex catanf(float complex);
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double complex catanh(double complex);
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float complex catanhf(float complex);
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long double complex
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catanhl(long double complex);
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long double complex
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catanl(long double complex);
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double complex ccos(double complex);
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float complex ccosf(float complex);
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double complex ccosh(double complex);
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float complex ccoshf(float complex);
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double complex cexp(double complex);
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float complex cexpf(float complex);
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long double complex
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cexpl(long double complex);
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double cimag(double complex) __pure2;
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float cimagf(float complex) __pure2;
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long double cimagl(long double complex) __pure2;
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double complex clog(double complex);
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float complex clogf(float complex);
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long double complex
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clogl(long double complex);
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double complex conj(double complex) __pure2;
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float complex conjf(float complex) __pure2;
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long double complex
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conjl(long double complex) __pure2;
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float complex cpowf(float complex, float complex);
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double complex cpow(double complex, double complex);
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long double complex
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cpowl(long double complex, long double complex);
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float complex cprojf(float complex) __pure2;
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double complex cproj(double complex) __pure2;
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long double complex
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cprojl(long double complex) __pure2;
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double creal(double complex) __pure2;
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float crealf(float complex) __pure2;
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long double creall(long double complex) __pure2;
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double complex csin(double complex);
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float complex csinf(float complex);
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double complex csinh(double complex);
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float complex csinhf(float complex);
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double complex csqrt(double complex);
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float complex csqrtf(float complex);
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long double complex
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csqrtl(long double complex);
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double complex ctan(double complex);
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float complex ctanf(float complex);
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double complex ctanh(double complex);
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float complex ctanhf(float complex);
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__END_DECLS
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#endif /* _COMPLEX_H */
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