freebsd-src/include/complex.h

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/*-
* SPDX-License-Identifier: BSD-2-Clause
*
* Copyright (c) 2001-2011 The FreeBSD Project.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef _COMPLEX_H
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#define _COMPLEX_H
#include <sys/cdefs.h>
#ifdef __GNUC__
#if __STDC_VERSION__ < 199901
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#define _Complex __complex__
#endif
#define _Complex_I ((float _Complex)1.0i)
#endif
#ifdef __generic
_Static_assert(__generic(_Complex_I, float _Complex, 1, 0),
"_Complex_I must be of type float _Complex");
#endif
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#define complex _Complex
#define I _Complex_I
#if __ISO_C_VISIBLE >= 2011
#ifdef __clang__
#define CMPLX(x, y) ((double complex){ x, y })
#define CMPLXF(x, y) ((float complex){ x, y })
#define CMPLXL(x, y) ((long double complex){ x, y })
#elif __GNUC_PREREQ__(4, 7)
#define CMPLX(x, y) __builtin_complex((double)(x), (double)(y))
#define CMPLXF(x, y) __builtin_complex((float)(x), (float)(y))
#define CMPLXL(x, y) __builtin_complex((long double)(x), (long double)(y))
#endif
#endif /* __ISO_C_VISIBLE >= 2011 */
__BEGIN_DECLS
double cabs(double complex);
float cabsf(float complex);
long double cabsl(long double complex);
double complex cacos(double complex);
float complex cacosf(float complex);
double complex cacosh(double complex);
float complex cacoshf(float complex);
long double complex
cacoshl(long double complex);
long double complex
cacosl(long double complex);
double carg(double complex);
float cargf(float complex);
long double cargl(long double complex);
double complex casin(double complex);
float complex casinf(float complex);
double complex casinh(double complex);
float complex casinhf(float complex);
long double complex
casinhl(long double complex);
long double complex
casinl(long double complex);
double complex catan(double complex);
float complex catanf(float complex);
double complex catanh(double complex);
float complex catanhf(float complex);
long double complex
catanhl(long double complex);
long double complex
catanl(long double complex);
double complex ccos(double complex);
float complex ccosf(float complex);
double complex ccosh(double complex);
float complex ccoshf(float complex);
double complex cexp(double complex);
float complex cexpf(float complex);
Implementations of cexpl() 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
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long double complex
cexpl(long double complex);
double cimag(double complex) __pure2;
float cimagf(float complex) __pure2;
long double cimagl(long double complex) __pure2;
double complex clog(double complex);
float complex clogf(float complex);
long double complex
clogl(long double complex);
double complex conj(double complex) __pure2;
float complex conjf(float complex) __pure2;
long double complex
conjl(long double complex) __pure2;
float complex cpowf(float complex, float complex);
double complex cpow(double complex, double complex);
long double complex
cpowl(long double complex, long double complex);
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float complex cprojf(float complex) __pure2;
double complex cproj(double complex) __pure2;
long double complex
cprojl(long double complex) __pure2;
double creal(double complex) __pure2;
float crealf(float complex) __pure2;
long double creall(long double complex) __pure2;
double complex csin(double complex);
float complex csinf(float complex);
double complex csinh(double complex);
float complex csinhf(float complex);
double complex csqrt(double complex);
float complex csqrtf(float complex);
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long double complex
csqrtl(long double complex);
double complex ctan(double complex);
float complex ctanf(float complex);
double complex ctanh(double complex);
float complex ctanhf(float complex);
__END_DECLS
#endif /* _COMPLEX_H */