2.5-18.1

1 files changed, 131 insertions, 0 deletions

diff --git a/sysdeps/ieee754/ldbl-128ibm/e_hypotl.c b/sysdeps/ieee754/ldbl-128ibm/e_hypotl.c
new file mode 100644
index 0000000000..4330f28b93
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/e_hypotl.c
@@ -0,0 +1,131 @@
+/* @(#)e_hypotl.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_hypotl.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
+#endif
+
+/* __ieee754_hypotl(x,y)
+ *
+ * Method :
+ *	If (assume round-to-nearest) z=x*x+y*y
+ *	has error less than sqrtl(2)/2 ulp, than
+ *	sqrtl(z) has error less than 1 ulp (exercise).
+ *
+ *	So, compute sqrtl(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 53 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 53 bits cleared, t2 = 2x-t1,
+ *	y1= y with lower 53 bits chopped, y2 = y-y1.
+ *
+ *	NOTE: scaling may be necessary if some argument is too
+ *	      large or too tiny
+ *
+ * Special cases:
+ *	hypotl(x,y) is INF if x or y is +INF or -INF; else
+ *	hypotl(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * 	hypotl(x,y) returns sqrtl(x^2+y^2) with error less
+ * 	than 1 ulps (units in the last place)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const long double two600 = 0x1.0p+600L;
+static const long double two1022 = 0x1.0p+1022L;
+
+#ifdef __STDC__
+	long double __ieee754_hypotl(long double x, long double y)
+#else
+	long double __ieee754_hypotl(x,y)
+	long double x, y;
+#endif
+{
+	long double a,b,t1,t2,y1,y2,w,kld;
+	int64_t j,k,ha,hb;
+
+	GET_LDOUBLE_MSW64(ha,x);
+	ha &= 0x7fffffffffffffffLL;
+	GET_LDOUBLE_MSW64(hb,y);
+	hb &= 0x7fffffffffffffffLL;
+	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+	a = fabsl(a);	/* a <- |a| */
+	b = fabsl(b);	/* b <- |b| */
+	if((ha-hb)>0x3c0000000000000LL) {return a+b;} /* x/y > 2**60 */
+	k=0;
+	kld = 1.0L;
+	if(ha > 0x5f30000000000000LL) {	/* a>2**500 */
+	   if(ha >= 0x7ff0000000000000LL) {	/* Inf or NaN */
+	       u_int64_t low;
+	       w = a+b;			/* for sNaN */
+	       GET_LDOUBLE_LSW64(low,a);
+	       if(((ha&0xfffffffffffffLL)|(low&0x7fffffffffffffffLL))==0)
+		 w = a;
+	       GET_LDOUBLE_LSW64(low,b);
+	       if(((hb^0x7ff0000000000000LL)|(low&0x7fffffffffffffffLL))==0)
+		 w = b;
+	       return w;
+	   }
+	   /* scale a and b by 2**-600 */
+	   ha -= 0x2580000000000000LL; hb -= 0x2580000000000000LL; k += 600;
+	   a /= two600;
+	   b /= two600;
+	   k += 600;
+	   kld = two600;
+	}
+	if(hb < 0x20b0000000000000LL) {	/* b < 2**-500 */
+	    if(hb <= 0x000fffffffffffffLL) {	/* subnormal b or 0 */
+	        u_int64_t low;
+		GET_LDOUBLE_LSW64(low,b);
+		if((hb|(low&0x7fffffffffffffffLL))==0) return a;
+		t1=two1022;	/* t1=2^1022 */
+		b *= t1;
+		a *= t1;
+		k -= 1022;
+		kld = kld / two1022;
+	    } else {		/* scale a and b by 2^600 */
+	        ha += 0x2580000000000000LL; 	/* a *= 2^600 */
+		hb += 0x2580000000000000LL;	/* b *= 2^600 */
+		k -= 600;
+		a *= two600;
+		b *= two600;
+		kld = kld / two600;
+	    }
+	}
+    /* medium size a and b */
+	w = a-b;
+	if (w>b) {
+	    SET_LDOUBLE_WORDS64(t1,ha,0);
+	    t2 = a-t1;
+	    w  = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+	} else {
+	    a  = a+a;
+	    SET_LDOUBLE_WORDS64(y1,hb,0);
+	    y2 = b - y1;
+	    SET_LDOUBLE_WORDS64(t1,ha+0x0010000000000000LL,0);
+	    t2 = a - t1;
+	    w  = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+	}
+	if(k!=0)
+	    return w*kld;
+	else
+	    return w;
+}