yggdrasil/lib/runtime/libm/e_hypotf.c
Mark Poliakov 7a0d528cda Add 'lib/runtime/' from commit 'db5cddbec10c4b7c086eda716d48d4711632901f'
git-subtree-dir: lib/runtime
git-subtree-mainline: 566a2341f5b726d86f5d42a72beb9c70b83f31b6
git-subtree-split: db5cddbec10c4b7c086eda716d48d4711632901f
2024-03-12 15:54:48 +02:00

66 lines
1.6 KiB
C

#include <stdint.h>
#include "private.h"
float
__ieee754_hypotf(float x, float y)
{
float a=x,b=y,t1,t2,yy1,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**-60 */
ha -= 0x5d800000; hb -= 0x5d800000; k += 60;
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(t1,0x3f000000); /* t1=2^126 */
b *= t1;
a *= t1;
k -= 126;
} else { /* scale a and b by 2^60 */
ha += 0x5d800000; /* a *= 2^60 */
hb += 0x5d800000; /* b *= 2^60 */
k -= 60;
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(yy1,hb&0xfffff000);
y2 = b - yy1;
SET_FLOAT_WORD(t1,ha+0x00800000);
t2 = a - t1;
w = __ieee754_sqrtf(t1*yy1-(w*(-w)-(t1*y2+t2*b)));
}
if(k!=0) {
SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
return t1*w;
} else return w;
}