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8f5b00d375
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.
103 lines
2.8 KiB
C
103 lines
2.8 KiB
C
/* s_tanhl.c -- long double version of s_tanh.c.
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* Conversion to long double by Ulrich Drepper,
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* Cygnus Support, drepper@cygnus.com.
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*/
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/* Changes for 128-bit long double contributed by
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Stephen L. Moshier <moshier@na-net.ornl.gov> */
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/* tanhl(x)
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* Return the Hyperbolic Tangent of x
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*
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* Method :
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* x -x
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* e - e
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* 0. tanhl(x) is defined to be -----------
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* x -x
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* e + e
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* 1. reduce x to non-negative by tanhl(-x) = -tanhl(x).
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* 2. 0 <= x <= 2**-57 : tanhl(x) := x*(one+x)
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* -t
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* 2**-57 < x <= 1 : tanhl(x) := -----; t = expm1l(-2x)
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* t + 2
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* 2
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* 1 <= x <= 40.0 : tanhl(x) := 1- ----- ; t=expm1l(2x)
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* t + 2
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* 40.0 < x <= INF : tanhl(x) := 1.
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*
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* Special cases:
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* tanhl(NaN) is NaN;
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* only tanhl(0)=0 is exact for finite argument.
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*/
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#include <float.h>
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#include <math.h>
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#include <math_private.h>
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#include <math-underflow.h>
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#include <libm-alias-ldouble.h>
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static const _Float128 one = 1.0, two = 2.0, tiny = L(1.0e-4900);
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_Float128
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__tanhl (_Float128 x)
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{
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_Float128 t, z;
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uint32_t jx, ix;
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ieee854_long_double_shape_type u;
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/* Words of |x|. */
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u.value = x;
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jx = u.parts32.w0;
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ix = jx & 0x7fffffff;
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/* x is INF or NaN */
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if (ix >= 0x7fff0000)
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{
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/* for NaN it's not important which branch: tanhl(NaN) = NaN */
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if (jx & 0x80000000)
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return one / x - one; /* tanhl(-inf)= -1; */
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else
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return one / x + one; /* tanhl(+inf)=+1 */
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}
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/* |x| < 40 */
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if (ix < 0x40044000)
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{
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if (u.value == 0)
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return x; /* x == +- 0 */
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if (ix < 0x3fc60000) /* |x| < 2^-57 */
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{
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math_check_force_underflow (x);
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return x * (one + tiny); /* tanh(small) = small */
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}
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u.parts32.w0 = ix; /* Absolute value of x. */
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if (ix >= 0x3fff0000)
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{ /* |x| >= 1 */
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t = __expm1l (two * u.value);
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z = one - two / (t + two);
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}
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else
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{
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t = __expm1l (-two * u.value);
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z = -t / (t + two);
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}
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/* |x| > 40, return +-1 */
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}
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else
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{
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z = one - tiny; /* raised inexact flag */
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}
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return (jx & 0x80000000) ? -z : z;
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}
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libm_alias_ldouble (__tanh, tanh)
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