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https://github.com/YannMagnin/vxOpenLibm.git
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4f559d4c14
__strong_alias is an ELF feature that is not available on Darwin/MachO. We have openlibm_strong_reference to paper over these differences, but we weren't using it consistently. In particular, we were still using it to define long double -> double aliases on platforms where these are the same type (e.g. aarch64). This didn't used to matter, because the only such platform we supported was always Linux and thus ELF. This patch fixes these instances thus fixing the build on Apple Silicon.
137 lines
2.8 KiB
C
137 lines
2.8 KiB
C
/* $OpenBSD: s_casin.c,v 1.6 2013/07/03 04:46:36 espie Exp $ */
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/*
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* Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
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*
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* Permission to use, copy, modify, and distribute this software for any
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* purpose with or without fee is hereby granted, provided that the above
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* copyright notice and this permission notice appear in all copies.
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*
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* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*/
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/* casin()
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*
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* Complex circular arc sine
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*
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*
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*
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* SYNOPSIS:
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*
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* double complex casin();
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* double complex z, w;
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*
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* w = casin (z);
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*
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*
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*
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* DESCRIPTION:
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*
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* Inverse complex sine:
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*
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* 2
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* w = -i clog( iz + csqrt( 1 - z ) ).
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*
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* casin(z) = -i casinh(iz)
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*
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* ACCURACY:
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*
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* Relative error:
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* arithmetic domain # trials peak rms
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* DEC -10,+10 10100 2.1e-15 3.4e-16
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* IEEE -10,+10 30000 2.2e-14 2.7e-15
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* Larger relative error can be observed for z near zero.
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* Also tested by csin(casin(z)) = z.
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*/
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#include <float.h>
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#include <openlibm_complex.h>
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#include <openlibm_math.h>
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#include "math_private.h"
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double complex
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casin(double complex z)
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{
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double complex w;
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static double complex ca, ct, zz, z2;
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double x, y;
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x = creal (z);
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y = cimag (z);
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if (y == 0.0) {
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if (fabs(x) > 1.0) {
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w = M_PI_2 + 0.0 * I;
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/*mtherr ("casin", DOMAIN);*/
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}
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else {
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w = asin (x) + 0.0 * I;
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}
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return (w);
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}
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/* Power series expansion */
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/*
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b = cabs(z);
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if( b < 0.125 ) {
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z2.r = (x - y) * (x + y);
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z2.i = 2.0 * x * y;
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cn = 1.0;
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n = 1.0;
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ca.r = x;
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ca.i = y;
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sum.r = x;
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sum.i = y;
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do {
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ct.r = z2.r * ca.r - z2.i * ca.i;
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ct.i = z2.r * ca.i + z2.i * ca.r;
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ca.r = ct.r;
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ca.i = ct.i;
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cn *= n;
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n += 1.0;
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cn /= n;
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n += 1.0;
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b = cn/n;
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ct.r *= b;
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ct.i *= b;
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sum.r += ct.r;
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sum.i += ct.i;
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b = fabs(ct.r) + fabs(ct.i);
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}
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while( b > MACHEP );
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w->r = sum.r;
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w->i = sum.i;
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return;
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}
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*/
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ca = x + y * I;
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ct = ca * I;
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/* sqrt( 1 - z*z) */
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/* cmul( &ca, &ca, &zz ) */
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/*x * x - y * y */
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zz = (x - y) * (x + y) + (2.0 * x * y) * I;
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zz = 1.0 - creal(zz) - cimag(zz) * I;
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z2 = csqrt (zz);
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zz = ct + z2;
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zz = clog (zz);
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/* multiply by 1/i = -i */
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w = zz * (-1.0 * I);
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return (w);
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}
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#if LDBL_MANT_DIG == DBL_MANT_DIG
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openlibm_strong_reference(casin, casinl);
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#endif /* LDBL_MANT_DIG == DBL_MANT_DIG */
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