1 /* e_hypotf.c -- float version of e_hypot.c. 2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 */ 4 5 /* 6 * ==================================================== 7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 8 * 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 12 * is preserved. 13 * ==================================================== 14 */ 15 16 #include <sys/cdefs.h> 17 __FBSDID("$FreeBSD$"); 18 19 #include "math.h" 20 #include "math_private.h" 21 22 float 23 __ieee754_hypotf(float x, float y) 24 { 25 float a,b,t1,t2,y1,y2,w; 26 int32_t j,k,ha,hb; 27 28 GET_FLOAT_WORD(ha,x); 29 ha &= 0x7fffffff; 30 GET_FLOAT_WORD(hb,y); 31 hb &= 0x7fffffff; 32 if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;} 33 a = fabsf(a); 34 b = fabsf(b); 35 if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */ 36 k=0; 37 if(ha > 0x58800000) { /* a>2**50 */ 38 if(ha >= 0x7f800000) { /* Inf or NaN */ 39 /* Use original arg order iff result is NaN; quieten sNaNs. */ 40 w = fabsl(x+0.0L)-fabsf(y+0); 41 if(ha == 0x7f800000) w = a; 42 if(hb == 0x7f800000) w = b; 43 return w; 44 } 45 /* scale a and b by 2**-68 */ 46 ha -= 0x22000000; hb -= 0x22000000; k += 68; 47 SET_FLOAT_WORD(a,ha); 48 SET_FLOAT_WORD(b,hb); 49 } 50 if(hb < 0x26800000) { /* b < 2**-50 */ 51 if(hb <= 0x007fffff) { /* subnormal b or 0 */ 52 if(hb==0) return a; 53 SET_FLOAT_WORD(t1,0x7e800000); /* t1=2^126 */ 54 b *= t1; 55 a *= t1; 56 k -= 126; 57 } else { /* scale a and b by 2^68 */ 58 ha += 0x22000000; /* a *= 2^68 */ 59 hb += 0x22000000; /* b *= 2^68 */ 60 k -= 68; 61 SET_FLOAT_WORD(a,ha); 62 SET_FLOAT_WORD(b,hb); 63 } 64 } 65 /* medium size a and b */ 66 w = a-b; 67 if (w>b) { 68 SET_FLOAT_WORD(t1,ha&0xfffff000); 69 t2 = a-t1; 70 w = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1))); 71 } else { 72 a = a+a; 73 SET_FLOAT_WORD(y1,hb&0xfffff000); 74 y2 = b - y1; 75 SET_FLOAT_WORD(t1,(ha+0x00800000)&0xfffff000); 76 t2 = a - t1; 77 w = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b))); 78 } 79 if(k!=0) { 80 SET_FLOAT_WORD(t1,(127+k)<<23); 81 return t1*w; 82 } else return w; 83 } 84