text: /* e_hypotf.c -- float version of e_hypot.c.
   * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
   */
  
  /*
   * ====================================================
   * 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.
   * ====================================================
   */
  
  #ifndef lint
  static char rcsid[] = "$FreeBSD: src/lib/msun/src/e_hypotf.c,v 1.9 2002/05/28 18:15:03 alfred Exp $";
  #endif
  
  #include "math.h"
  #include "math_private.h"
  
  float
  __ieee754_hypotf(float x, float y)
  {
  	float a=x,b=y,t1,t2,y1,y2,w;
  	int32_t j,k,ha,hb;
  
  	GET_FLOAT_WORD(ha,x);
  	ha &= 0x7fffffff;
  	GET_FLOAT_WORD(hb,y);
  	hb &= 0x7fffffff;
  	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
  	SET_FLOAT_WORD(a,ha);	/* a <- |a| */
  	SET_FLOAT_WORD(b,hb);	/* b <- |b| */
  	if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */
  	k=0;
  	if(ha > 0x58800000) {	/* a>2**50 */
  	   if(ha >= 0x7f800000) {	/* Inf or NaN */
  	       w = a+b;			/* for sNaN */
  	       if(ha == 0x7f800000) w = a;
  	       if(hb == 0x7f800000) w = b;
  	       return w;
  	   }
  	   /* scale a and b by 2**-68 */
  	   ha -= 0x22000000; hb -= 0x22000000;	k += 68;
  	   SET_FLOAT_WORD(a,ha);
  	   SET_FLOAT_WORD(b,hb);
  	}
  	if(hb < 0x26800000) {	/* b < 2**-50 */
  	    if(hb <= 0x007fffff) {	/* subnormal b or 0 */
  	        if(hb==0) return a;
  		SET_FLOAT_WORD(t1,0x7e800000);	/* t1=2^126 */
  		b *= t1;
  		a *= t1;
  		k -= 126;
  	    } else {		/* scale a and b by 2^68 */
  	        ha += 0x22000000; 	/* a *= 2^68 */
  		hb += 0x22000000;	/* b *= 2^68 */
  		k -= 68;
  		SET_FLOAT_WORD(a,ha);
  		SET_FLOAT_WORD(b,hb);
  	    }
  	}
      /* medium size a and b */
  	w = a-b;
  	if (w>b) {
  	    SET_FLOAT_WORD(t1,ha&0xfffff000);
  	    t2 = a-t1;
  	    w  = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
  	} else {
  	    a  = a+a;
  	    SET_FLOAT_WORD(y1,hb&0xfffff000);
  	    y2 = b - y1;
  	    SET_FLOAT_WORD(t1,ha+0x00800000);
  	    t2 = a - t1;
  	    w  = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
  	}
  	if(k!=0) {
  	    SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
  	    return t1*w;
  	} else return w;
  }
  