glibc/math/k_casinh_template.c

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/* Return arc hyperbolic sine for a complex float type, with the
imaginary part of the result possibly adjusted for use in
computing other functions.
Copyright (C) 1997-2020 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
Prefer https to http for gnu.org and fsf.org URLs Also, change sources.redhat.com to sourceware.org. This patch was automatically generated by running the following shell script, which uses GNU sed, and which avoids modifying files imported from upstream: sed -ri ' s,(http|ftp)(://(.*\.)?(gnu|fsf|sourceware)\.org($|[^.]|\.[^a-z])),https\2,g s,(http|ftp)(://(.*\.)?)sources\.redhat\.com($|[^.]|\.[^a-z]),https\2sourceware.org\4,g ' \ $(find $(git ls-files) -prune -type f \ ! -name '*.po' \ ! -name 'ChangeLog*' \ ! -path COPYING ! -path COPYING.LIB \ ! -path manual/fdl-1.3.texi ! -path manual/lgpl-2.1.texi \ ! -path manual/texinfo.tex ! -path scripts/config.guess \ ! -path scripts/config.sub ! -path scripts/install-sh \ ! -path scripts/mkinstalldirs ! -path scripts/move-if-change \ ! -path INSTALL ! -path locale/programs/charmap-kw.h \ ! -path po/libc.pot ! -path sysdeps/gnu/errlist.c \ ! '(' -name configure \ -execdir test -f configure.ac -o -f configure.in ';' ')' \ ! '(' -name preconfigure \ -execdir test -f preconfigure.ac ';' ')' \ -print) and then by running 'make dist-prepare' to regenerate files built from the altered files, and then executing the following to cleanup: chmod a+x sysdeps/unix/sysv/linux/riscv/configure # Omit irrelevant whitespace and comment-only changes, # perhaps from a slightly-different Autoconf version. git checkout -f \ sysdeps/csky/configure \ sysdeps/hppa/configure \ sysdeps/riscv/configure \ sysdeps/unix/sysv/linux/csky/configure # Omit changes that caused a pre-commit check to fail like this: # remote: *** error: sysdeps/powerpc/powerpc64/ppc-mcount.S: trailing lines git checkout -f \ sysdeps/powerpc/powerpc64/ppc-mcount.S \ sysdeps/unix/sysv/linux/s390/s390-64/syscall.S # Omit change that caused a pre-commit check to fail like this: # remote: *** error: sysdeps/sparc/sparc64/multiarch/memcpy-ultra3.S: last line does not end in newline git checkout -f sysdeps/sparc/sparc64/multiarch/memcpy-ultra3.S
2019-09-07 05:40:42 +00:00
<https://www.gnu.org/licenses/>. */
#include <complex.h>
#include <math.h>
#include <math_private.h>
Move math_check_force_underflow macros to separate math-underflow.h. This patch continues cleaning up math_private.h by moving the math_check_force_underflow set of macros to a separate header math-underflow.h. This header is included by the files that need it rather than from math_private.h. Moving these macros to a separate file removes the math_private.h uses of macros from float.h, so the inclusion of float.h in math_private.h is also removed; files that were depending on that inclusion are fixed to include float.h directly. The inclusion of math-barriers.h from math_private.h will be removed in a separate patch. Tested for x86_64 and x86. Also tested with build-many-glibcs.py that installed stripped shared libraries are unchanged by this patch. * math/math-underflow.h: New file. * sysdeps/generic/math_private.h: Do not include <float.h>. (fabs_tg): Remove macro. Moved to math-underflow.h. (min_of_type_f): Likewise. (min_of_type_): Likewise. (min_of_type_l): Likewise. (min_of_type_f128): Likewise. (min_of_type): Likewise. (math_check_force_underflow): Likewise. (math_check_force_underflow_nonneg): Likewise. (math_check_force_underflow_complex): Likewise. * math/e_exp2_template.c: Include <math-underflow.h>. * math/k_casinh_template.c: Likewise. * math/s_catan_template.c: Likewise. * math/s_catanh_template.c: Likewise. * math/s_ccosh_template.c: Likewise. * math/s_cexp_template.c: Likewise. * math/s_clog10_template.c: Likewise. * math/s_clog_template.c: Likewise. * math/s_csin_template.c: Likewise. * math/s_csinh_template.c: Likewise. * math/s_csqrt_template.c: Likewise. * math/s_ctan_template.c: Likewise. * math/s_ctanh_template.c: Likewise. * sysdeps/ieee754/dbl-64/e_asin.c: Likewise. * sysdeps/ieee754/dbl-64/e_atanh.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp2.c: Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c: Likewise. * sysdeps/ieee754/dbl-64/e_hypot.c: Likewise. * sysdeps/ieee754/dbl-64/e_j1.c: Likewise. * sysdeps/ieee754/dbl-64/e_jn.c: Likewise. * sysdeps/ieee754/dbl-64/e_pow.c: Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c: Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c: Likewise. * sysdeps/ieee754/dbl-64/s_atan.c: Likewise. * sysdeps/ieee754/dbl-64/s_erf.c: Likewise. * sysdeps/ieee754/dbl-64/s_expm1.c: Likewise. * sysdeps/ieee754/dbl-64/s_log1p.c: Likewise. * sysdeps/ieee754/dbl-64/s_sin.c: Likewise. * sysdeps/ieee754/dbl-64/s_sincos.c: Likewise. * sysdeps/ieee754/dbl-64/s_tan.c: Likewise. * sysdeps/ieee754/dbl-64/s_tanh.c: Likewise. * sysdeps/ieee754/flt-32/e_asinf.c: Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c: Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c: Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Likewise. * sysdeps/ieee754/flt-32/e_jnf.c: Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c: Likewise. * sysdeps/ieee754/flt-32/k_sinf.c: Likewise. * sysdeps/ieee754/flt-32/k_tanf.c: Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c: Likewise. * sysdeps/ieee754/flt-32/s_atanf.c: Likewise. * sysdeps/ieee754/flt-32/s_erff.c: Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c: Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c: Likewise. * sysdeps/ieee754/flt-32/s_tanhf.c: Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-128/e_hypotl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_sinhl.c: Likewise. * sysdeps/ieee754/ldbl-128/k_sincosl.c: Likewise. * sysdeps/ieee754/ldbl-128/k_sinl.c: Likewise. * sysdeps/ieee754/ldbl-128/k_tanl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_asinhl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_atanl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_expm1l.c: Likewise. * sysdeps/ieee754/ldbl-128/s_log1pl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_tanhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_sinhl.c: Likewise. * sysdeps/ieee754/ldbl-96/k_sinl.c: Likewise. * sysdeps/ieee754/ldbl-96/k_tanl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_asinhl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_erfl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_tanhl.c: Likewise. * sysdeps/powerpc/fpu/e_hypot.c: Likewise. * sysdeps/x86/fpu/powl_helper.c: Likewise. * sysdeps/ieee754/dbl-64/s_nextup.c: Include <float.h>. * sysdeps/ieee754/flt-32/s_nextupf.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nextupl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nextupl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_nextupl.c: Likewise.
2018-05-10 00:53:04 +00:00
#include <math-underflow.h>
#include <float.h>
/* Return the complex inverse hyperbolic sine of finite nonzero Z,
with the imaginary part of the result subtracted from pi/2 if ADJ
is nonzero. */
CFLOAT
M_DECL_FUNC (__kernel_casinh) (CFLOAT x, int adj)
{
CFLOAT res;
FLOAT rx, ix;
CFLOAT y;
/* Avoid cancellation by reducing to the first quadrant. */
rx = M_FABS (__real__ x);
ix = M_FABS (__imag__ x);
if (rx >= 1 / M_EPSILON || ix >= 1 / M_EPSILON)
{
/* For large x in the first quadrant, x + csqrt (1 + x * x)
is sufficiently close to 2 * x to make no significant
difference to the result; avoid possible overflow from
the squaring and addition. */
__real__ y = rx;
__imag__ y = ix;
if (adj)
{
FLOAT t = __real__ y;
__real__ y = M_COPYSIGN (__imag__ y, __imag__ x);
__imag__ y = t;
}
res = M_SUF (__clog) (y);
__real__ res += (FLOAT) M_MLIT (M_LN2);
}
else if (rx >= M_LIT (0.5) && ix < M_EPSILON / 8)
{
FLOAT s = M_HYPOT (1, rx);
__real__ res = M_LOG (rx + s);
if (adj)
__imag__ res = M_ATAN2 (s, __imag__ x);
else
__imag__ res = M_ATAN2 (ix, s);
}
else if (rx < M_EPSILON / 8 && ix >= M_LIT (1.5))
{
FLOAT s = M_SQRT ((ix + 1) * (ix - 1));
__real__ res = M_LOG (ix + s);
if (adj)
__imag__ res = M_ATAN2 (rx, M_COPYSIGN (s, __imag__ x));
else
__imag__ res = M_ATAN2 (s, rx);
}
else if (ix > 1 && ix < M_LIT (1.5) && rx < M_LIT (0.5))
{
if (rx < M_EPSILON * M_EPSILON)
{
FLOAT ix2m1 = (ix + 1) * (ix - 1);
FLOAT s = M_SQRT (ix2m1);
__real__ res = M_LOG1P (2 * (ix2m1 + ix * s)) / 2;
if (adj)
__imag__ res = M_ATAN2 (rx, M_COPYSIGN (s, __imag__ x));
else
__imag__ res = M_ATAN2 (s, rx);
}
else
{
FLOAT ix2m1 = (ix + 1) * (ix - 1);
FLOAT rx2 = rx * rx;
FLOAT f = rx2 * (2 + rx2 + 2 * ix * ix);
FLOAT d = M_SQRT (ix2m1 * ix2m1 + f);
FLOAT dp = d + ix2m1;
FLOAT dm = f / dp;
FLOAT r1 = M_SQRT ((dm + rx2) / 2);
FLOAT r2 = rx * ix / r1;
__real__ res = M_LOG1P (rx2 + dp + 2 * (rx * r1 + ix * r2)) / 2;
if (adj)
__imag__ res = M_ATAN2 (rx + r1, M_COPYSIGN (ix + r2, __imag__ x));
else
__imag__ res = M_ATAN2 (ix + r2, rx + r1);
}
}
else if (ix == 1 && rx < M_LIT (0.5))
{
if (rx < M_EPSILON / 8)
{
__real__ res = M_LOG1P (2 * (rx + M_SQRT (rx))) / 2;
if (adj)
__imag__ res = M_ATAN2 (M_SQRT (rx), M_COPYSIGN (1, __imag__ x));
else
__imag__ res = M_ATAN2 (1, M_SQRT (rx));
}
else
{
FLOAT d = rx * M_SQRT (4 + rx * rx);
FLOAT s1 = M_SQRT ((d + rx * rx) / 2);
FLOAT s2 = M_SQRT ((d - rx * rx) / 2);
__real__ res = M_LOG1P (rx * rx + d + 2 * (rx * s1 + s2)) / 2;
if (adj)
__imag__ res = M_ATAN2 (rx + s1, M_COPYSIGN (1 + s2, __imag__ x));
else
__imag__ res = M_ATAN2 (1 + s2, rx + s1);
}
}
else if (ix < 1 && rx < M_LIT (0.5))
{
if (ix >= M_EPSILON)
{
if (rx < M_EPSILON * M_EPSILON)
{
FLOAT onemix2 = (1 + ix) * (1 - ix);
FLOAT s = M_SQRT (onemix2);
__real__ res = M_LOG1P (2 * rx / s) / 2;
if (adj)
__imag__ res = M_ATAN2 (s, __imag__ x);
else
__imag__ res = M_ATAN2 (ix, s);
}
else
{
FLOAT onemix2 = (1 + ix) * (1 - ix);
FLOAT rx2 = rx * rx;
FLOAT f = rx2 * (2 + rx2 + 2 * ix * ix);
FLOAT d = M_SQRT (onemix2 * onemix2 + f);
FLOAT dp = d + onemix2;
FLOAT dm = f / dp;
FLOAT r1 = M_SQRT ((dp + rx2) / 2);
FLOAT r2 = rx * ix / r1;
__real__ res = M_LOG1P (rx2 + dm + 2 * (rx * r1 + ix * r2)) / 2;
if (adj)
__imag__ res = M_ATAN2 (rx + r1, M_COPYSIGN (ix + r2,
__imag__ x));
else
__imag__ res = M_ATAN2 (ix + r2, rx + r1);
}
}
else
{
FLOAT s = M_HYPOT (1, rx);
__real__ res = M_LOG1P (2 * rx * (rx + s)) / 2;
if (adj)
__imag__ res = M_ATAN2 (s, __imag__ x);
else
__imag__ res = M_ATAN2 (ix, s);
}
math_check_force_underflow_nonneg (__real__ res);
}
else
{
__real__ y = (rx - ix) * (rx + ix) + 1;
__imag__ y = 2 * rx * ix;
y = M_SUF (__csqrt) (y);
__real__ y += rx;
__imag__ y += ix;
if (adj)
{
FLOAT t = __real__ y;
__real__ y = M_COPYSIGN (__imag__ y, __imag__ x);
__imag__ y = t;
}
res = M_SUF (__clog) (y);
}
/* Give results the correct sign for the original argument. */
__real__ res = M_COPYSIGN (__real__ res, __real__ x);
__imag__ res = M_COPYSIGN (__imag__ res, (adj ? 1 : __imag__ x));
return res;
}