glibc/arm: More generic math functions
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@@ -35,6 +35,7 @@ local genericSources =
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s_signbit.c s_signbitf.c s_signbitl.c
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s_nan.c s_nanf.c s_nanl.c
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e_hypot.c e_hypotf.c e_hypotl.c
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w_hypot.c w_hypotf.c w_hypotl.c
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s_fpclassify.c s_fpclassifyf.c
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s_clog.c s_clogf.c s_clogl.c
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@@ -54,12 +55,16 @@ local genericSources =
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halfulp.c
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mpa.c mplog.c mpexp.c
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s_sin.c
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s_atan.c s_atanf.c
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s_atan.c s_atanf.c s_atanl.c
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s_tan.c
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e_asin.c w_asin.c
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e_asin.c e_asinl.c
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w_asin.c w_asinl.c
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e_log10.c w_log10.c
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e_logf.c e_logl.c
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e_acos.c w_acos.c
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e_atan2.c w_atan2.c w_atan2l.c mpatan2.c mpatan.c mptan.c mpsqrt.c w_sqrt.c w_sqrtf.c
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e_atan2.c e_atan2l.c
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w_atan2.c w_atan2l.c mpatan2.c mpatan.c mptan.c mpsqrt.c w_sqrt.c w_sqrtf.c
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e_sqrtl.c
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e_fmod.c w_fmod.c
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e_log.c w_log.c
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e_cosh.c w_cosh.c
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@@ -13,18 +13,10 @@
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* ====================================================
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*/
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#if defined(LIBM_SCCS) && !defined(lint)
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static char rcsid[] = "$NetBSD: e_logf.c,v 1.4 1995/05/10 20:45:54 jtc Exp $";
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#endif
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#include <math.h>
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#include <math_private.h>
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#include "math.h"
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#include "math_private.h"
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#ifdef __STDC__
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static const float
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#else
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static float
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#endif
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ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
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ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
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two25 = 3.355443200e+07, /* 0x4c000000 */
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@@ -36,18 +28,10 @@ Lg5 = 1.8183572590e-01, /* 3E3A3325 */
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Lg6 = 1.5313838422e-01, /* 3E1CD04F */
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Lg7 = 1.4798198640e-01; /* 3E178897 */
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#ifdef __STDC__
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static const float zero = 0.0;
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#else
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static float zero = 0.0;
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#endif
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#ifdef __STDC__
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float __ieee754_logf(float x)
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#else
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float __ieee754_logf(x)
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float x;
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#endif
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float
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__ieee754_logf(float x)
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{
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float hfsq,f,s,z,R,w,t1,t2,dk;
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int32_t k,ix,i,j;
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@@ -56,13 +40,14 @@ static float zero = 0.0;
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k=0;
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if (ix < 0x00800000) { /* x < 2**-126 */
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if ((ix&0x7fffffff)==0)
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return -two25/(x-x); /* log(+-0)=-inf */
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if (ix<0) return (x-x)/(x-x); /* log(-#) = NaN */
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if (__builtin_expect((ix&0x7fffffff)==0, 0))
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return -two25/zero; /* log(+-0)=-inf */
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if (__builtin_expect(ix<0, 0))
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return (x-x)/(x-x); /* log(-#) = NaN */
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k -= 25; x *= two25; /* subnormal number, scale up x */
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GET_FLOAT_WORD(ix,x);
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}
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if (ix >= 0x7f800000) return x+x;
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if (__builtin_expect(ix >= 0x7f800000, 0)) return x+x;
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k += (ix>>23)-127;
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ix &= 0x007fffff;
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i = (ix+(0x95f64<<3))&0x800000;
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@@ -76,9 +61,9 @@ static float zero = 0.0;
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}
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R = f*f*((float)0.5-(float)0.33333333333333333*f);
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if(k==0) return f-R; else {dk=(float)k;
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return dk*ln2_hi-((R-dk*ln2_lo)-f);}
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return dk*ln2_hi-((R-dk*ln2_lo)-f);}
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}
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s = f/((float)2.0+f);
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s = f/((float)2.0+f);
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dk = (float)k;
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z = s*s;
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i = ix-(0x6147a<<3);
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@@ -97,3 +82,4 @@ static float zero = 0.0;
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return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
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}
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}
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strong_alias (__ieee754_logf, __logf_finite)
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@@ -0,0 +1,14 @@
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#include <math.h>
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#include <stdio.h>
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#include <errno.h>
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long double
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__ieee754_logl (long double x)
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{
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fputs ("__ieee754_logl not implemented\n", stderr);
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__set_errno (ENOSYS);
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return 0.0;
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}
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strong_alias (__ieee754_logl, __logl_finite)
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stub_warning (logl)
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@@ -0,0 +1,104 @@
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/*
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* IBM Accurate Mathematical Library
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* written by International Business Machines Corp.
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* Copyright (C) 2001-2015 Free Software Foundation, Inc.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation; either version 2.1 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, see <http://www.gnu.org/licenses/>.
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*/
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/*********************************************************************/
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/* MODULE_NAME: uroot.c */
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/* */
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/* FUNCTION: usqrt */
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/* */
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/* FILES NEEDED: dla.h endian.h mydefs.h uroot.h */
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/* uroot.tbl */
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/* */
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/* An ultimate sqrt routine. Given an IEEE double machine number x */
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/* it computes the correctly rounded (to nearest) value of square */
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/* root of x. */
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/* Assumption: Machine arithmetic operations are performed in */
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/* round to nearest mode of IEEE 754 standard. */
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/* */
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/*********************************************************************/
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#include <math_private.h>
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typedef union {int64_t i[2]; long double x; double d[2]; } mynumber;
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static const double
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t512 = 0x1p512,
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tm256 = 0x1p-256,
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two54 = 0x1p54, /* 0x4350000000000000 */
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twom54 = 0x1p-54; /* 0x3C90000000000000 */
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/*********************************************************************/
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/* An ultimate sqrt routine. Given an IEEE double machine number x */
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/* it computes the correctly rounded (to nearest) value of square */
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/* root of x. */
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/*********************************************************************/
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long double __ieee754_sqrtl(long double x)
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{
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static const long double big = 134217728.0, big1 = 134217729.0;
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long double t,s,i;
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mynumber a,c;
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uint64_t k, l;
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int64_t m, n;
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double d;
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a.x=x;
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k=a.i[0] & INT64_C(0x7fffffffffffffff);
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/*----------------- 2^-1022 <= | x |< 2^1024 -----------------*/
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if (k>INT64_C(0x000fffff00000000) && k<INT64_C(0x7ff0000000000000)) {
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if (x < 0) return (big1-big1)/(big-big);
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l = (k&INT64_C(0x001fffffffffffff))|INT64_C(0x3fe0000000000000);
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if ((a.i[1] & INT64_C(0x7fffffffffffffff)) != 0) {
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n = (int64_t) ((l - k) * 2) >> 53;
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m = (a.i[1] >> 52) & 0x7ff;
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if (m == 0) {
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a.d[1] *= two54;
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m = ((a.i[1] >> 52) & 0x7ff) - 54;
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}
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m += n;
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if (m > 0)
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a.i[1] = (a.i[1] & INT64_C(0x800fffffffffffff)) | (m << 52);
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else if (m <= -54) {
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a.i[1] &= INT64_C(0x8000000000000000);
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} else {
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m += 54;
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a.i[1] = (a.i[1] & INT64_C(0x800fffffffffffff)) | (m << 52);
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a.d[1] *= twom54;
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}
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}
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a.i[0] = l;
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s = a.x;
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d = __ieee754_sqrt (a.d[0]);
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c.i[0] = INT64_C(0x2000000000000000)+((k&INT64_C(0x7fe0000000000000))>>1);
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c.i[1] = 0;
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i = d;
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t = 0.5L * (i + s / i);
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i = 0.5L * (t + s / t);
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return c.x * i;
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}
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else {
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if (k>=INT64_C(0x7ff0000000000000)) {
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if (a.i[0] == INT64_C(0xfff0000000000000))
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return (big1-big1)/(big-big); /* sqrt (-Inf) = NaN. */
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return x; /* sqrt (NaN) = NaN, sqrt (+Inf) = +Inf. */
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}
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if (x == 0) return x;
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if (x < 0) return (big1-big1)/(big-big);
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return tm256*__ieee754_sqrtl(x*t512);
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}
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}
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strong_alias (__ieee754_sqrtl, __sqrtl_finite)
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@@ -0,0 +1,14 @@
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#include <math.h>
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#include <stdio.h>
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#include <errno.h>
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long double
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__atanl (long double x)
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{
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fputs ("__atanl not implemented\n", stderr);
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__set_errno (ENOSYS);
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return 0.0;
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}
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weak_alias (__atanl, atanl)
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stub_warning (atanl)
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