glibc/math/s_ctanh_template.c
Joseph Myers 8f5b00d375 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

131 lines
3.3 KiB
C

/* Complex hyperbolic tangent for float types.
Copyright (C) 1997-2018 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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
<http://www.gnu.org/licenses/>. */
#include <complex.h>
#include <fenv.h>
#include <math.h>
#include <math_private.h>
#include <math-underflow.h>
#include <float.h>
CFLOAT
M_DECL_FUNC (__ctanh) (CFLOAT x)
{
CFLOAT res;
if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
{
if (isinf (__real__ x))
{
__real__ res = M_COPYSIGN (1, __real__ x);
if (isfinite (__imag__ x) && M_FABS (__imag__ x) > 1)
{
FLOAT sinix, cosix;
M_SINCOS (__imag__ x, &sinix, &cosix);
__imag__ res = M_COPYSIGN (0, sinix * cosix);
}
else
__imag__ res = M_COPYSIGN (0, __imag__ x);
}
else if (__imag__ x == 0)
{
res = x;
}
else
{
if (__real__ x == 0)
__real__ res = __real__ x;
else
__real__ res = M_NAN;
__imag__ res = M_NAN;
if (isinf (__imag__ x))
feraiseexcept (FE_INVALID);
}
}
else
{
FLOAT sinix, cosix;
FLOAT den;
const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2) / 2);
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
if (__glibc_likely (M_FABS (__imag__ x) > M_MIN))
{
M_SINCOS (__imag__ x, &sinix, &cosix);
}
else
{
sinix = __imag__ x;
cosix = 1;
}
if (M_FABS (__real__ x) > t)
{
/* Avoid intermediate overflow when the imaginary part of
the result may be subnormal. Ignoring negligible terms,
the real part is +/- 1, the imaginary part is
sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
FLOAT exp_2t = M_EXP (2 * t);
__real__ res = M_COPYSIGN (1, __real__ x);
__imag__ res = 4 * sinix * cosix;
__real__ x = M_FABS (__real__ x);
__real__ x -= t;
__imag__ res /= exp_2t;
if (__real__ x > t)
{
/* Underflow (original real part of x has absolute value
> 2t). */
__imag__ res /= exp_2t;
}
else
__imag__ res /= M_EXP (2 * __real__ x);
}
else
{
FLOAT sinhrx, coshrx;
if (M_FABS (__real__ x) > M_MIN)
{
sinhrx = M_SINH (__real__ x);
coshrx = M_COSH (__real__ x);
}
else
{
sinhrx = __real__ x;
coshrx = 1;
}
if (M_FABS (sinhrx) > M_FABS (cosix) * M_EPSILON)
den = sinhrx * sinhrx + cosix * cosix;
else
den = cosix * cosix;
__real__ res = sinhrx * coshrx / den;
__imag__ res = sinix * cosix / den;
}
math_check_force_underflow_complex (res);
}
return res;
}
declare_mgen_alias (__ctanh, ctanh)