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authorUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
commitabfbdde177c3a7155070dda1b2cdc8292054cc26 (patch)
treee021306b596381fbf8311d2b7eb294e918ff17c8 /sysdeps/libm-ieee754/e_hypot.c
parent86421aa57ecfd70963ae66848bd6a6dd3b8e0fe6 (diff)
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Update.
Diffstat (limited to 'sysdeps/libm-ieee754/e_hypot.c')
-rw-r--r--sysdeps/libm-ieee754/e_hypot.c128
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diff --git a/sysdeps/libm-ieee754/e_hypot.c b/sysdeps/libm-ieee754/e_hypot.c
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-/* @(#)e_hypot.c 5.1 93/09/24 */
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
-
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
-#endif
-
-/* __ieee754_hypot(x,y)
- *
- * Method :
- *	If (assume round-to-nearest) z=x*x+y*y
- *	has error less than sqrt(2)/2 ulp, than
- *	sqrt(z) has error less than 1 ulp (exercise).
- *
- *	So, compute sqrt(x*x+y*y) with some care as
- *	follows to get the error below 1 ulp:
- *
- *	Assume x>y>0;
- *	(if possible, set rounding to round-to-nearest)
- *	1. if x > 2y  use
- *		x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
- *	where x1 = x with lower 32 bits cleared, x2 = x-x1; else
- *	2. if x <= 2y use
- *		t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
- *	where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1,
- *	y1= y with lower 32 bits chopped, y2 = y-y1.
- *
- *	NOTE: scaling may be necessary if some argument is too
- *	      large or too tiny
- *
- * Special cases:
- *	hypot(x,y) is INF if x or y is +INF or -INF; else
- *	hypot(x,y) is NAN if x or y is NAN.
- *
- * Accuracy:
- * 	hypot(x,y) returns sqrt(x^2+y^2) with error less
- * 	than 1 ulps (units in the last place)
- */
-
-#include "math.h"
-#include "math_private.h"
-
-#ifdef __STDC__
-	double __ieee754_hypot(double x, double y)
-#else
-	double __ieee754_hypot(x,y)
-	double x, y;
-#endif
-{
-	double a,b,t1,t2,y1,y2,w;
-	int32_t j,k,ha,hb;
-
-	GET_HIGH_WORD(ha,x);
-	ha &= 0x7fffffff;
-	GET_HIGH_WORD(hb,y);
-	hb &= 0x7fffffff;
-	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
-	SET_HIGH_WORD(a,ha);	/* a <- |a| */
-	SET_HIGH_WORD(b,hb);	/* b <- |b| */
-	if((ha-hb)>0x3c00000) {return a+b;} /* x/y > 2**60 */
-	k=0;
-	if(ha > 0x5f300000) {	/* a>2**500 */
-	   if(ha >= 0x7ff00000) {	/* Inf or NaN */
-	       u_int32_t low;
-	       w = a+b;			/* for sNaN */
-	       GET_LOW_WORD(low,a);
-	       if(((ha&0xfffff)|low)==0) w = a;
-	       GET_LOW_WORD(low,b);
-	       if(((hb^0x7ff00000)|low)==0) w = b;
-	       return w;
-	   }
-	   /* scale a and b by 2**-600 */
-	   ha -= 0x25800000; hb -= 0x25800000;	k += 600;
-	   SET_HIGH_WORD(a,ha);
-	   SET_HIGH_WORD(b,hb);
-	}
-	if(hb < 0x20b00000) {	/* b < 2**-500 */
-	    if(hb <= 0x000fffff) {	/* subnormal b or 0 */
-	        u_int32_t low;
-		GET_LOW_WORD(low,b);
-		if((hb|low)==0) return a;
-		t1=0;
-		SET_HIGH_WORD(t1,0x7fd00000);	/* t1=2^1022 */
-		b *= t1;
-		a *= t1;
-		k -= 1022;
-	    } else {		/* scale a and b by 2^600 */
-	        ha += 0x25800000; 	/* a *= 2^600 */
-		hb += 0x25800000;	/* b *= 2^600 */
-		k -= 600;
-		SET_HIGH_WORD(a,ha);
-		SET_HIGH_WORD(b,hb);
-	    }
-	}
-    /* medium size a and b */
-	w = a-b;
-	if (w>b) {
-	    t1 = 0;
-	    SET_HIGH_WORD(t1,ha);
-	    t2 = a-t1;
-	    w  = __ieee754_sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
-	} else {
-	    a  = a+a;
-	    y1 = 0;
-	    SET_HIGH_WORD(y1,hb);
-	    y2 = b - y1;
-	    t1 = 0;
-	    SET_HIGH_WORD(t1,ha+0x00100000);
-	    t2 = a - t1;
-	    w  = __ieee754_sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
-	}
-	if(k!=0) {
-	    u_int32_t high;
-	    t1 = 1.0;
-	    GET_HIGH_WORD(high,t1);
-	    SET_HIGH_WORD(t1,high+(k<<20));
-	    return t1*w;
-	} else return w;
-}