glibc/sysdeps/m68k/m680x0/fpu/e_pow.c

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/* Copyright (C) 1997-2019 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
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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.
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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
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library. If not, see
<http://www.gnu.org/licenses/>. */
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#include <math.h>
#include <math_private.h>
#include "mathimpl.h"
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#ifndef SUFF
#define SUFF
#endif
#ifndef float_type
#define float_type double
#endif
#define CONCATX(a,b) __CONCAT(a,b)
#define s(name) CONCATX(name,SUFF)
#define m81(func) __m81_u(s(func))
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float_type
s(__ieee754_pow) (float_type x, float_type y)
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{
float_type z;
float_type ax;
unsigned long x_cond, y_cond;
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y_cond = __m81_test (y);
if (y_cond & __M81_COND_ZERO)
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return 1.0;
if (y_cond & __M81_COND_NAN)
return x == 1.0 ? x : x + y;
x_cond = __m81_test (x);
if (x_cond & __M81_COND_NAN)
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return x + y;
if (y_cond & __M81_COND_INF)
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{
ax = s(fabs) (x);
if (ax == 1.0)
return ax;
if (ax > 1.0)
return y_cond & __M81_COND_NEG ? 0 : y;
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else
return y_cond & __M81_COND_NEG ? -y : 0;
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}
if (s(fabs) (y) == 1.0)
return y_cond & __M81_COND_NEG ? 1 / x : x;
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if (y == 2)
return x * x;
if (y == 0.5 && !(x_cond & __M81_COND_NEG))
Rename all __ieee754_sqrt(f/l) calls to sqrt(f/l) Use sqrt(f/l) to enable inlining by GCC - if inlining doesn't happen, the asm redirect ensures we will still call __ieee754_sqrt(f/l). * sysdeps/ieee754/dbl-64/e_acosh.c (__ieee754_acosh): Use sqrt. * sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Likewise. * sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Likewise. * sysdeps/ieee754/dbl-64/e_j0.c (__ieee754_j0): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Likewise. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c (__asinh): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/e_acosh.c (__ieee754_acosh): Likewise. * sysdeps/ieee754/flt-32/e_acosf.c (__ieee754_acosf): Likewise. * sysdeps/ieee754/flt-32/e_acoshf.c (__ieee754_acoshf): Likewise. * sysdeps/ieee754/flt-32/e_asinf.c (__ieee754_asinf): Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise. * sysdeps/ieee754/flt-32/e_hypotf.c (__ieee754_hypotf): Likewise. * sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_j0f): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Likewise. * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c (__asinhf): Likewise. * sysdeps/ieee754/ldbl-128/e_acoshl.c (__ieee754_acoshl): Use sqrtl. * sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Likewise. * sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_j0l): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128/s_asinhl.c (__ieee754_asinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (__ieee754_acoshl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_j0l.c (__ieee754_j0l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_j1l.c (__ieee754_j1l): Likewise * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__ieee754_asinhl): Likewise. * sysdeps/ieee754/ldbl-96/e_acoshl.c (__ieee754_acoshl): Use sqrtl. * sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-96/e_j0l.c (__ieee754_j0l): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/s_asinhl.c (__ieee754_asinhl): Likewise. * sysdeps/m68k/m680x0/fpu/e_pow.c (__ieee754_pow): Likewise. * sysdeps/powerpc/fpu/e_hypot.c (__ieee754_hypot): Likewise. * sysdeps/powerpc/fpu/e_hypotf.c (__ieee754_hypotf): Likewise.
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return m81(sqrt) (x);
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if (x == 10.0)
{
__asm ("ftentox%.x %1, %0" : "=f" (z) : "f" (y));
return z;
}
if (x == 2.0)
{
__asm ("ftwotox%.x %1, %0" : "=f" (z) : "f" (y));
return z;
}
ax = s(fabs) (x);
if (x_cond & (__M81_COND_INF | __M81_COND_ZERO) || ax == 1.0)
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{
z = ax;
if (y_cond & __M81_COND_NEG)
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z = 1 / z;
if (x_cond & __M81_COND_NEG)
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{
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if (y != m81(__rint) (y))
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{
if (x == -1)
z = (z - z) / (z - z);
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}
else
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goto maybe_negate;
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}
return z;
}
if (x_cond & __M81_COND_NEG)
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{
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if (y == m81(__rint) (y))
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{
z = m81(__ieee754_exp) (y * m81(__ieee754_log) (-x));
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maybe_negate:
/* We always use the long double format, since y is already in
this format and rounding won't change the result. */
{
int32_t exponent;
Consistently use uintN_t not u_intN_t in libm. This patch changes libm code to make consistent use of C99 uintN_t types instead of sometimes using those and sometimes using the older nonstandard u_intN_t names. This makes sense as a cleanup in its own right, and also facilitates merges to GCC's libquadmath (which gets the types from stdint.h and so may not have u_intN_t available at all). Tested for x86_64, and with build-many-glibcs.py. * math/s_nextafter.c (__nextafter): Use uintN_t instead of u_intN_t. * math/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/generic/math_private.h (ieee_double_shape_type): Likewise. (ieee_float_shape_type): Likewise. * sysdeps/i386/fpu/s_fpclassifyl.c (__fpclassifyl): Likewise. * sysdeps/i386/fpu/s_isnanl.c (__isnanl): Likewise. * sysdeps/i386/fpu/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/dbl-64/e_acosh.c (__ieee754_acosh): Likewise. * sysdeps/ieee754/dbl-64/e_cosh.c (__ieee754_cosh): Likewise. * sysdeps/ieee754/dbl-64/e_fmod.c (__ieee754_fmod): Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Likewise. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. (__ieee754_yn): Likewise. * sysdeps/ieee754/dbl-64/e_log10.c (__ieee754_log10): Likewise. * sysdeps/ieee754/dbl-64/e_log2.c (__ieee754_log2): Likewise. * sysdeps/ieee754/dbl-64/e_rem_pio2.c (__ieee754_rem_pio2): Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c (__ieee754_sinh): Likewise. * sysdeps/ieee754/dbl-64/s_ceil.c (__ceil): Likewise. * sysdeps/ieee754/dbl-64/s_copysign.c (__copysign): Likewise. * sysdeps/ieee754/dbl-64/s_erf.c (__erf): Likewise. (__erfc): Likewise. * sysdeps/ieee754/dbl-64/s_expm1.c (__expm1): Likewise. * sysdeps/ieee754/dbl-64/s_finite.c (FINITE): Likewise. * sysdeps/ieee754/dbl-64/s_floor.c (__floor): Likewise. * sysdeps/ieee754/dbl-64/s_fpclassify.c (__fpclassify): Likewise. * sysdeps/ieee754/dbl-64/s_isnan.c (__isnan): Likewise. * sysdeps/ieee754/dbl-64/s_issignaling.c (__issignaling): Likewise. * sysdeps/ieee754/dbl-64/s_llrint.c (__llrint): Likewise. * sysdeps/ieee754/dbl-64/s_llround.c (__llround): Likewise. * sysdeps/ieee754/dbl-64/s_lrint.c (__lrint): Likewise. * sysdeps/ieee754/dbl-64/s_lround.c (__lround): Likewise. * sysdeps/ieee754/dbl-64/s_modf.c (__modf): Likewise. * sysdeps/ieee754/dbl-64/s_nextup.c (__nextup): Likewise. * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/dbl-64/s_round.c (__round): Likewise. * sysdeps/ieee754/dbl-64/s_trunc.c (__trunc): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_issignaling.c (__issignaling): Likewise. * sysdeps/ieee754/flt-32/e_atan2f.c (__ieee754_atan2f): Likewise. * sysdeps/ieee754/flt-32/e_fmodf.c (__ieee754_fmodf): Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_ynf): Likewise. * sysdeps/ieee754/flt-32/e_log10f.c (__ieee754_log10f): Likewise. * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Likewise. * sysdeps/ieee754/flt-32/e_rem_pio2f.c (__ieee754_rem_pio2f): Likewise. * sysdeps/ieee754/flt-32/e_remainderf.c (__ieee754_remainderf): Likewise. * sysdeps/ieee754/flt-32/e_sqrtf.c (__ieee754_sqrtf): Likewise. * sysdeps/ieee754/flt-32/s_ceilf.c (__ceilf): Likewise. * sysdeps/ieee754/flt-32/s_copysignf.c (__copysignf): Likewise. * sysdeps/ieee754/flt-32/s_erff.c (__erff): Likewise. (__erfcf): Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c (__expm1f): Likewise. * sysdeps/ieee754/flt-32/s_finitef.c (FINITEF): Likewise. * sysdeps/ieee754/flt-32/s_floorf.c (__floorf): Likewise. * sysdeps/ieee754/flt-32/s_fpclassifyf.c (__fpclassifyf): Likewise. * sysdeps/ieee754/flt-32/s_isnanf.c (__isnanf): Likewise. * sysdeps/ieee754/flt-32/s_issignalingf.c (__issignalingf): Likewise. * sysdeps/ieee754/flt-32/s_llrintf.c (__llrintf): Likewise. * sysdeps/ieee754/flt-32/s_llroundf.c (__llroundf): Likewise. * sysdeps/ieee754/flt-32/s_lrintf.c (__lrintf): Likewise. * sysdeps/ieee754/flt-32/s_lroundf.c (__lroundf): Likewise. * sysdeps/ieee754/flt-32/s_modff.c (__modff): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/flt-32/s_roundf.c (__roundf): Likewise. * sysdeps/ieee754/ldbl-128/e_acoshl.c (__ieee754_acoshl): Likewise. * sysdeps/ieee754/ldbl-128/e_atan2l.c (__ieee754_atan2l): Likewise. * sysdeps/ieee754/ldbl-128/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128/e_fmodl.c (__ieee754_fmodl): Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128/e_rem_pio2l.c (__ieee754_rem_pio2l): Likewise. * sysdeps/ieee754/ldbl-128/e_remainderl.c (__ieee754_remainderl): Likewise. * sysdeps/ieee754/ldbl-128/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128/k_cosl.c (__kernel_cosl): Likewise. * sysdeps/ieee754/ldbl-128/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128/s_ceill.c (__ceill): Likewise. * sysdeps/ieee754/ldbl-128/s_copysignl.c (__copysignl): Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfcl): Likewise. * sysdeps/ieee754/ldbl-128/s_fabsl.c (__fabsl): Likewise. * sysdeps/ieee754/ldbl-128/s_finitel.c (__finitel): Likewise. * sysdeps/ieee754/ldbl-128/s_floorl.c (__floorl): Likewise. * sysdeps/ieee754/ldbl-128/s_fpclassifyl.c (__fpclassifyl): Likewise. * sysdeps/ieee754/ldbl-128/s_frexpl.c (__frexpl): Likewise. * sysdeps/ieee754/ldbl-128/s_isnanl.c (__isnanl): Likewise. * sysdeps/ieee754/ldbl-128/s_issignalingl.c (__issignalingl): Likewise. * sysdeps/ieee754/ldbl-128/s_llrintl.c (__llrintl): Likewise. * sysdeps/ieee754/ldbl-128/s_llroundl.c (__llroundl): Likewise. * sysdeps/ieee754/ldbl-128/s_lrintl.c (__lrintl): Likewise. * sysdeps/ieee754/ldbl-128/s_lroundl.c (__lroundl): Likewise. * sysdeps/ieee754/ldbl-128/s_modfl.c (__modfl): Likewise. * sysdeps/ieee754/ldbl-128/s_nearbyintl.c (__nearbyintl): Likewise. * sysdeps/ieee754/ldbl-128/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128/s_nextupl.c (__nextupl): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128/s_rintl.c (__rintl): Likewise. * sysdeps/ieee754/ldbl-128/s_roundl.c (__roundl): Likewise. * sysdeps/ieee754/ldbl-128/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-128/s_truncl.c (__truncl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_fmodl.c (__ieee754_fmodl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_rem_pio2l.c (__ieee754_rem_pio2l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_remainderl.c (__ieee754_remainderl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_cosl.c (__kernel_cosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fabsl.c (__fabsl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c (___fpclassifyl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_modfl.c (__modfl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/e_acoshl.c (__ieee754_acoshl): Likewise. * sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_coshl.c (__ieee754_coshl): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-96/e_j0l.c (__ieee754_j0l): Likewise. (__ieee754_y0l): Likewise. (pzero): Likewise. (qzero): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Likewise. (__ieee754_y1l): Likewise. (pone): Likewise. (qone): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldbl-96/e_lgammal_r.c (sin_pi): Likewise. (__ieee754_lgammal_r): Likewise. * sysdeps/ieee754/ldbl-96/e_rem_pio2l.c (__ieee754_rem_pio2l): Likewise. * sysdeps/ieee754/ldbl-96/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-96/s_copysignl.c (__copysignl): Likewise. * sysdeps/ieee754/ldbl-96/s_erfl.c (__erfl): Likewise. (__erfcl): Likewise. * sysdeps/ieee754/ldbl-96/s_frexpl.c (__frexpl): Likewise. * sysdeps/ieee754/ldbl-96/s_issignalingl.c (__issignalingl): Likewise. * sysdeps/ieee754/ldbl-96/s_llrintl.c (__llrintl): Likewise. * sysdeps/ieee754/ldbl-96/s_llroundl.c (__llroundl): Likewise. * sysdeps/ieee754/ldbl-96/s_lrintl.c (__lrintl): Likewise. * sysdeps/ieee754/ldbl-96/s_lroundl.c (__lroundl): Likewise. * sysdeps/ieee754/ldbl-96/s_modfl.c (__modfl): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-96/s_nextupl.c (__nextupl): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_roundl.c (__roundl): Likewise. * sysdeps/ieee754/ldbl-96/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf): Likewise. * sysdeps/m68k/m680x0/fpu/e_pow.c (s(__ieee754_pow)): Likewise. * sysdeps/m68k/m680x0/fpu/s_fpclassifyl.c (__fpclassifyl): Likewise. * sysdeps/m68k/m680x0/fpu/s_llrint.c (__llrint): Likewise. * sysdeps/m68k/m680x0/fpu/s_llrintf.c (__llrintf): Likewise. * sysdeps/m68k/m680x0/fpu/s_llrintl.c (__llrintl): Likewise. * sysdeps/m68k/m680x0/fpu/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/x86/fpu/powl_helper.c (__powl_helper): Likewise.
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uint32_t i0, i1;
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GET_LDOUBLE_WORDS (exponent, i0, i1, y);
exponent = (exponent & 0x7fff) - 0x3fff;
if (exponent <= 31
? i0 & (1 << (31 - exponent))
: (exponent <= 63
&& i1 & (1 << (63 - exponent))))
z = -z;
}
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}
else
z = (y - y) / (y - y);
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}
else
z = m81(__ieee754_exp) (y * m81(__ieee754_log) (x));
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return z;
}
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strong_alias (s(__ieee754_pow), CONCATX (s(__pow), _finite))