1 /* ef_hypot.c -- float version of e_hypot.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
13 * ====================================================
19 float hypotf(float x, float y)
25 float a=x,b=y,t1,t2,y1,y2,w;
32 if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
33 SET_FLOAT_WORD(a,ha); /* a <- |a| */
34 SET_FLOAT_WORD(b,hb); /* b <- |b| */
35 if((ha-hb)>0xf000000L) {return a+b;} /* x/y > 2**30 */
37 if(ha > 0x58800000L) { /* a>2**50 */
38 if(ha >= 0x7f800000L) { /* Inf or NaN */
39 w = a+b; /* for sNaN */
40 if(ha == 0x7f800000L) w = a;
41 if(hb == 0x7f800000L) w = b;
44 /* scale a and b by 2**-60 */
45 ha -= 0x5d800000L; hb -= 0x5d800000L; k += 60;
49 if(hb < 0x26800000L) { /* b < 2**-50 */
50 if(hb <= 0x007fffffL) { /* subnormal b or 0 */
52 SET_FLOAT_WORD(t1,0x3f000000L); /* t1=2^126 */
56 } else { /* scale a and b by 2^60 */
57 ha += 0x5d800000; /* a *= 2^60 */
58 hb += 0x5d800000; /* b *= 2^60 */
64 /* medium size a and b */
67 SET_FLOAT_WORD(t1,ha&0xfffff000L);
69 w = sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
72 SET_FLOAT_WORD(y1,hb&0xfffff000L);
74 SET_FLOAT_WORD(t1,ha+0x00800000L);
76 w = sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
79 SET_FLOAT_WORD(t1,0x3f800000L+(k<<23));