glibc/sysdeps/ieee754/dbl-64/e_sqrt.c
Ulrich Drepper 7c37008632 Update.
2004-06-13  Kaz Kojima  <kkojima@rr.iij4u.or.jp>

	* sysdeps/unix/sysv/linux/sh/bits/pthreadtypes.h (pthread_cond_t):
	Add __data.__futex field, reshuffle __data.__clock.
	* sysdeps/unix/sysv/linux/sh/pthread_cond_signal.S
	(__pthread_cond_signal): Increment __futex at the same time as
	__wakeup_seq or __total_seq.  Pass address of __futex instead of
	address of low 32-bits of __wakeup_seq to futex syscall.
	* sysdeps/unix/sysv/linux/sh/pthread_cond_wait.S
	(__pthread_cond_wait): Likewise.  Pass __futex value from before
	releasing internal lock to FUTEX_WAIT.
	* sysdeps/unix/sysv/linux/sh/pthread_cond_timedwait.S
	(__pthread_cond_timedwait): Likewise.
	* sysdeps/unix/sysv/linux/sh/pthread_cond_broadcast.S
	(FUTEX_CMP_REQUEUE): Define.
	(__pthread_cond_broadcast): Set __futex to 2 * __total_seq.
	Use FUTEX_CMP_REQUEUE operation instead of FUTEX_REQUEUE.
	Pass __futex value from before the unlock and __futex address instead
	of address of low 32-bits of __wakeup_seq to futex syscall.
	Fallback to FUTEX_WAKE all on any errors.
2004-06-17 23:58:15 +00:00

89 lines
3.7 KiB
C

/*
* IBM Accurate Mathematical Library
* written by International Business Machines Corp.
* Copyright (C) 2001 Free Software Foundation
*
* 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, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
/*********************************************************************/
/* 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 "endian.h"
#include "mydefs.h"
#include "dla.h"
#include "MathLib.h"
#include "root.tbl"
#include "math_private.h"
/*********************************************************************/
/* An ultimate sqrt routine. Given an IEEE double machine number x */
/* it computes the correctly rounded (to nearest) value of square */
/* root of x. */
/*********************************************************************/
double __ieee754_sqrt(double x) {
#include "uroot.h"
static const double
rt0 = 9.99999999859990725855365213134618E-01,
rt1 = 4.99999999495955425917856814202739E-01,
rt2 = 3.75017500867345182581453026130850E-01,
rt3 = 3.12523626554518656309172508769531E-01;
static const double big = 134217728.0;
double y,t,del,res,res1,hy,z,zz,p,hx,tx,ty,s;
mynumber a,c={{0,0}};
int4 k;
a.x=x;
k=a.i[HIGH_HALF];
a.i[HIGH_HALF]=(k&0x001fffff)|0x3fe00000;
t=inroot[(k&0x001fffff)>>14];
s=a.x;
/*----------------- 2^-1022 <= | x |< 2^1024 -----------------*/
if (k>0x000fffff && k<0x7ff00000) {
y=1.0-t*(t*s);
t=t*(rt0+y*(rt1+y*(rt2+y*rt3)));
c.i[HIGH_HALF]=0x20000000+((k&0x7fe00000)>>1);
y=t*s;
hy=(y+big)-big;
del=0.5*t*((s-hy*hy)-(y-hy)*(y+hy));
res=y+del;
if (res == (res+1.002*((y-res)+del))) return res*c.x;
else {
res1=res+1.5*((y-res)+del);
EMULV(res,res1,z,zz,p,hx,tx,hy,ty); /* (z+zz)=res*res1 */
return ((((z-s)+zz)<0)?max(res,res1):min(res,res1))*c.x;
}
}
else {
if ((k & 0x7ff00000) == 0x7ff00000)
return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf, sqrt(-inf)=sNaN */
if (x==0) return x; /* sqrt(+0)=+0, sqrt(-0)=-0 */
if (k<0) return (x-x)/(x-x); /* sqrt(-ve)=sNaN */
return tm256.x*__ieee754_sqrt(x*t512.x);
}
}