xref: /freebsd/lib/msun/src/e_log10f.c (revision 2be1a816b9ff69588e55be0a84cbe2a31efc0f2f)
1 /* e_log10f.c -- float version of e_log10.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 static const float
23 two25      =  3.3554432000e+07, /* 0x4c000000 */
24 ivln10     =  4.3429449201e-01, /* 0x3ede5bd9 */
25 log10_2hi  =  3.0102920532e-01, /* 0x3e9a2080 */
26 log10_2lo  =  7.9034151668e-07; /* 0x355427db */
27 
28 static const float zero   =  0.0;
29 
30 float
31 __ieee754_log10f(float x)
32 {
33 	float y,z;
34 	int32_t i,k,hx;
35 
36 	GET_FLOAT_WORD(hx,x);
37 
38         k=0;
39         if (hx < 0x00800000) {                  /* x < 2**-126  */
40             if ((hx&0x7fffffff)==0)
41                 return -two25/zero;             /* log(+-0)=-inf */
42             if (hx<0) return (x-x)/zero;        /* log(-#) = NaN */
43             k -= 25; x *= two25; /* subnormal number, scale up x */
44 	    GET_FLOAT_WORD(hx,x);
45         }
46 	if (hx >= 0x7f800000) return x+x;
47 	k += (hx>>23)-127;
48 	i  = ((u_int32_t)k&0x80000000)>>31;
49         hx = (hx&0x007fffff)|((0x7f-i)<<23);
50         y  = (float)(k+i);
51 	SET_FLOAT_WORD(x,hx);
52 	z  = y*log10_2lo + ivln10*__ieee754_logf(x);
53 	return  z+y*log10_2hi;
54 }
55