glibc/arm: More generic math functions

This commit is contained in:
Alexander von Gluck IV
2015-08-15 00:00:26 -05:00
parent 73d0cc7227
commit 5d91a421b9
5 changed files with 152 additions and 29 deletions
@@ -35,6 +35,7 @@ local genericSources =
s_signbit.c s_signbitf.c s_signbitl.c
s_nan.c s_nanf.c s_nanl.c
e_hypot.c e_hypotf.c e_hypotl.c
w_hypot.c w_hypotf.c w_hypotl.c
s_fpclassify.c s_fpclassifyf.c
s_clog.c s_clogf.c s_clogl.c
@@ -54,12 +55,16 @@ local genericSources =
halfulp.c
mpa.c mplog.c mpexp.c
s_sin.c
s_atan.c s_atanf.c
s_atan.c s_atanf.c s_atanl.c
s_tan.c
e_asin.c w_asin.c
e_asin.c e_asinl.c
w_asin.c w_asinl.c
e_log10.c w_log10.c
e_logf.c e_logl.c
e_acos.c w_acos.c
e_atan2.c w_atan2.c w_atan2l.c mpatan2.c mpatan.c mptan.c mpsqrt.c w_sqrt.c w_sqrtf.c
e_atan2.c e_atan2l.c
w_atan2.c w_atan2l.c mpatan2.c mpatan.c mptan.c mpsqrt.c w_sqrt.c w_sqrtf.c
e_sqrtl.c
e_fmod.c w_fmod.c
e_log.c w_log.c
e_cosh.c w_cosh.c
@@ -13,18 +13,10 @@
* ====================================================
*/
#if defined(LIBM_SCCS) && !defined(lint)
static char rcsid[] = "$NetBSD: e_logf.c,v 1.4 1995/05/10 20:45:54 jtc Exp $";
#endif
#include <math.h>
#include <math_private.h>
#include "math.h"
#include "math_private.h"
#ifdef __STDC__
static const float
#else
static float
#endif
ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
two25 = 3.355443200e+07, /* 0x4c000000 */
@@ -36,18 +28,10 @@ Lg5 = 1.8183572590e-01, /* 3E3A3325 */
Lg6 = 1.5313838422e-01, /* 3E1CD04F */
Lg7 = 1.4798198640e-01; /* 3E178897 */
#ifdef __STDC__
static const float zero = 0.0;
#else
static float zero = 0.0;
#endif
#ifdef __STDC__
float __ieee754_logf(float x)
#else
float __ieee754_logf(x)
float x;
#endif
float
__ieee754_logf(float x)
{
float hfsq,f,s,z,R,w,t1,t2,dk;
int32_t k,ix,i,j;
@@ -56,13 +40,14 @@ static float zero = 0.0;
k=0;
if (ix < 0x00800000) { /* x < 2**-126 */
if ((ix&0x7fffffff)==0)
return -two25/(x-x); /* log(+-0)=-inf */
if (ix<0) return (x-x)/(x-x); /* log(-#) = NaN */
if (__builtin_expect((ix&0x7fffffff)==0, 0))
return -two25/zero; /* log(+-0)=-inf */
if (__builtin_expect(ix<0, 0))
return (x-x)/(x-x); /* log(-#) = NaN */
k -= 25; x *= two25; /* subnormal number, scale up x */
GET_FLOAT_WORD(ix,x);
}
if (ix >= 0x7f800000) return x+x;
if (__builtin_expect(ix >= 0x7f800000, 0)) return x+x;
k += (ix>>23)-127;
ix &= 0x007fffff;
i = (ix+(0x95f64<<3))&0x800000;
@@ -76,9 +61,9 @@ static float zero = 0.0;
}
R = f*f*((float)0.5-(float)0.33333333333333333*f);
if(k==0) return f-R; else {dk=(float)k;
return dk*ln2_hi-((R-dk*ln2_lo)-f);}
return dk*ln2_hi-((R-dk*ln2_lo)-f);}
}
s = f/((float)2.0+f);
s = f/((float)2.0+f);
dk = (float)k;
z = s*s;
i = ix-(0x6147a<<3);
@@ -97,3 +82,4 @@ static float zero = 0.0;
return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
}
}
strong_alias (__ieee754_logf, __logf_finite)
@@ -0,0 +1,14 @@
#include <math.h>
#include <stdio.h>
#include <errno.h>
long double
__ieee754_logl (long double x)
{
fputs ("__ieee754_logl not implemented\n", stderr);
__set_errno (ENOSYS);
return 0.0;
}
strong_alias (__ieee754_logl, __logl_finite)
stub_warning (logl)
@@ -0,0 +1,104 @@
/*
* IBM Accurate Mathematical Library
* written by International Business Machines Corp.
* Copyright (C) 2001-2015 Free Software Foundation, Inc.
*
* This program 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.
*
* This program 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 this program; if not, see <http://www.gnu.org/licenses/>.
*/
/*********************************************************************/
/* MODULE_NAME: uroot.c */
/* */
/* FUNCTION: usqrt */
/* */
/* FILES NEEDED: dla.h endian.h mydefs.h uroot.h */
/* uroot.tbl */
/* */
/* An ultimate sqrt routine. Given an IEEE double machine number x */
/* it computes the correctly rounded (to nearest) value of square */
/* root of x. */
/* Assumption: Machine arithmetic operations are performed in */
/* round to nearest mode of IEEE 754 standard. */
/* */
/*********************************************************************/
#include <math_private.h>
typedef union {int64_t i[2]; long double x; double d[2]; } mynumber;
static const double
t512 = 0x1p512,
tm256 = 0x1p-256,
two54 = 0x1p54, /* 0x4350000000000000 */
twom54 = 0x1p-54; /* 0x3C90000000000000 */
/*********************************************************************/
/* An ultimate sqrt routine. Given an IEEE double machine number x */
/* it computes the correctly rounded (to nearest) value of square */
/* root of x. */
/*********************************************************************/
long double __ieee754_sqrtl(long double x)
{
static const long double big = 134217728.0, big1 = 134217729.0;
long double t,s,i;
mynumber a,c;
uint64_t k, l;
int64_t m, n;
double d;
a.x=x;
k=a.i[0] & INT64_C(0x7fffffffffffffff);
/*----------------- 2^-1022 <= | x |< 2^1024 -----------------*/
if (k>INT64_C(0x000fffff00000000) && k<INT64_C(0x7ff0000000000000)) {
if (x < 0) return (big1-big1)/(big-big);
l = (k&INT64_C(0x001fffffffffffff))|INT64_C(0x3fe0000000000000);
if ((a.i[1] & INT64_C(0x7fffffffffffffff)) != 0) {
n = (int64_t) ((l - k) * 2) >> 53;
m = (a.i[1] >> 52) & 0x7ff;
if (m == 0) {
a.d[1] *= two54;
m = ((a.i[1] >> 52) & 0x7ff) - 54;
}
m += n;
if (m > 0)
a.i[1] = (a.i[1] & INT64_C(0x800fffffffffffff)) | (m << 52);
else if (m <= -54) {
a.i[1] &= INT64_C(0x8000000000000000);
} else {
m += 54;
a.i[1] = (a.i[1] & INT64_C(0x800fffffffffffff)) | (m << 52);
a.d[1] *= twom54;
}
}
a.i[0] = l;
s = a.x;
d = __ieee754_sqrt (a.d[0]);
c.i[0] = INT64_C(0x2000000000000000)+((k&INT64_C(0x7fe0000000000000))>>1);
c.i[1] = 0;
i = d;
t = 0.5L * (i + s / i);
i = 0.5L * (t + s / t);
return c.x * i;
}
else {
if (k>=INT64_C(0x7ff0000000000000)) {
if (a.i[0] == INT64_C(0xfff0000000000000))
return (big1-big1)/(big-big); /* sqrt (-Inf) = NaN. */
return x; /* sqrt (NaN) = NaN, sqrt (+Inf) = +Inf. */
}
if (x == 0) return x;
if (x < 0) return (big1-big1)/(big-big);
return tm256*__ieee754_sqrtl(x*t512);
}
}
strong_alias (__ieee754_sqrtl, __sqrtl_finite)
@@ -0,0 +1,14 @@
#include <math.h>
#include <stdio.h>
#include <errno.h>
long double
__atanl (long double x)
{
fputs ("__atanl not implemented\n", stderr);
__set_errno (ENOSYS);
return 0.0;
}
weak_alias (__atanl, atanl)
stub_warning (atanl)