1 /* e_sqrtf.c -- float version of e_sqrt.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 * ====================================================
17 #include <math_private.h>
19 static const float one
= 1.0, tiny
=1.0e-30;
22 __ieee754_sqrtf(float x
)
25 int32_t sign
= (int)0x80000000;
31 /* take care of Inf and NaN */
32 if((ix
&0x7f800000)==0x7f800000) {
33 return x
*x
+x
; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
36 /* take care of zero */
38 if((ix
&(~sign
))==0) return x
;/* sqrt(+-0) = +-0 */
40 return (x
-x
)/(x
-x
); /* sqrt(-ve) = sNaN */
44 if(m
==0) { /* subnormal x */
45 for(i
=0;(ix
&0x00800000)==0;i
++) ix
<<=1;
48 m
-= 127; /* unbias exponent */
49 ix
= (ix
&0x007fffff)|0x00800000;
50 if(m
&1) /* odd m, double x to make it even */
52 m
>>= 1; /* m = [m/2] */
54 /* generate sqrt(x) bit by bit */
56 q
= s
= 0; /* q = sqrt(x) */
57 r
= 0x01000000; /* r = moving bit from right to left */
70 /* use floating add to find out rounding direction */
72 z
= one
-tiny
; /* trigger inexact flag */
81 ix
= (q
>>1)+0x3f000000;
86 strong_alias (__ieee754_sqrtf
, __sqrtf_finite
)