12116Sjkh/* e_hypotf.c -- float version of e_hypot.c. 22116Sjkh * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 32116Sjkh */ 42116Sjkh 52116Sjkh/* 62116Sjkh * ==================================================== 72116Sjkh * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 82116Sjkh * 92116Sjkh * Developed at SunPro, a Sun Microsystems, Inc. business. 102116Sjkh * Permission to use, copy, modify, and distribute this 118870Srgrimes * software is freely granted, provided that this notice 122116Sjkh * is preserved. 132116Sjkh * ==================================================== 142116Sjkh */ 152116Sjkh 16176277Sbde#include <sys/cdefs.h> 17176277Sbde__FBSDID("$FreeBSD$"); 182116Sjkh 192116Sjkh#include "math.h" 202116Sjkh#include "math_private.h" 212116Sjkh 2297413Salfredfloat 2397413Salfred__ieee754_hypotf(float x, float y) 242116Sjkh{ 25226380Sdas float a,b,t1,t2,y1,y2,w; 262116Sjkh int32_t j,k,ha,hb; 272116Sjkh 282116Sjkh GET_FLOAT_WORD(ha,x); 292116Sjkh ha &= 0x7fffffff; 302116Sjkh GET_FLOAT_WORD(hb,y); 312116Sjkh hb &= 0x7fffffff; 322116Sjkh if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;} 33177751Sbde a = fabsf(a); 34177751Sbde b = fabsf(b); 352116Sjkh if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */ 362116Sjkh k=0; 372116Sjkh if(ha > 0x58800000) { /* a>2**50 */ 382116Sjkh if(ha >= 0x7f800000) { /* Inf or NaN */ 39176277Sbde /* Use original arg order iff result is NaN; quieten sNaNs. */ 40177749Sbde w = fabsf(x+0.0F)-fabsf(y+0.0F); 412116Sjkh if(ha == 0x7f800000) w = a; 422116Sjkh if(hb == 0x7f800000) w = b; 432116Sjkh return w; 442116Sjkh } 4523397Sbde /* scale a and b by 2**-68 */ 4623397Sbde ha -= 0x22000000; hb -= 0x22000000; k += 68; 472116Sjkh SET_FLOAT_WORD(a,ha); 482116Sjkh SET_FLOAT_WORD(b,hb); 492116Sjkh } 502116Sjkh if(hb < 0x26800000) { /* b < 2**-50 */ 518870Srgrimes if(hb <= 0x007fffff) { /* subnormal b or 0 */ 522116Sjkh if(hb==0) return a; 5323397Sbde SET_FLOAT_WORD(t1,0x7e800000); /* t1=2^126 */ 542116Sjkh b *= t1; 552116Sjkh a *= t1; 562116Sjkh k -= 126; 5723397Sbde } else { /* scale a and b by 2^68 */ 5823397Sbde ha += 0x22000000; /* a *= 2^68 */ 5923397Sbde hb += 0x22000000; /* b *= 2^68 */ 6023397Sbde k -= 68; 612116Sjkh SET_FLOAT_WORD(a,ha); 622116Sjkh SET_FLOAT_WORD(b,hb); 632116Sjkh } 642116Sjkh } 652116Sjkh /* medium size a and b */ 662116Sjkh w = a-b; 672116Sjkh if (w>b) { 682116Sjkh SET_FLOAT_WORD(t1,ha&0xfffff000); 692116Sjkh t2 = a-t1; 7023579Sbde w = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1))); 712116Sjkh } else { 722116Sjkh a = a+a; 732116Sjkh SET_FLOAT_WORD(y1,hb&0xfffff000); 742116Sjkh y2 = b - y1; 75177746Sbde SET_FLOAT_WORD(t1,(ha+0x00800000)&0xfffff000); 762116Sjkh t2 = a - t1; 7723579Sbde w = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b))); 782116Sjkh } 792116Sjkh if(k!=0) { 802116Sjkh SET_FLOAT_WORD(t1,0x3f800000+(k<<23)); 812116Sjkh return t1*w; 822116Sjkh } else return w; 832116Sjkh} 84