1 /*	$OpenBSD: s_logbl.c,v 1.1 2008/12/09 20:00:35 martynas Exp $	*/
2 /*
3  * From: @(#)s_ilogb.c 5.1 93/09/24
4  * ====================================================
5  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6  *
7  * Developed at SunPro, a Sun Microsystems, Inc. business.
8  * Permission to use, copy, modify, and distribute this
9  * software is freely granted, provided that this notice
10  * is preserved.
11  * ====================================================
12  */
13 
14 #include <sys/types.h>
15 #include <machine/ieee.h>
16 #include <float.h>
17 #include <limits.h>
18 #include <math.h>
19 
20 long double
21 logbl(long double x)
22 {
23 	union {
24 		long double e;
25 		struct ieee_ext bits;
26 	} u;
27 	unsigned long m;
28 	int b;
29 
30 	u.e = x;
31 	if (u.bits.ext_exp == 0) {
32 		if ((u.bits.ext_fracl
33 #ifdef EXT_FRACLMBITS
34 			| u.bits.ext_fraclm
35 #endif /* EXT_FRACLMBITS */
36 #ifdef EXT_FRACHMBITS
37 			| u.bits.ext_frachm
38 #endif /* EXT_FRACHMBITS */
39 			| u.bits.ext_frach) == 0) {	/* x == 0 */
40 			u.bits.ext_sign = 1;
41 			return (1.0L / u.e);
42 		}
43 		/* denormalized */
44 		if (u.bits.ext_frach == 0
45 #ifdef EXT_FRACHMBITS
46 			&& u.bits.ext_frachm == 0
47 #endif
48 			) {
49 			m = 1lu << (EXT_FRACLBITS - 1);
50 			for (b = EXT_FRACHBITS; !(u.bits.ext_fracl & m); m >>= 1)
51 				b++;
52 #if defined(EXT_FRACHMBITS) && defined(EXT_FRACLMBITS)
53 			m = 1lu << (EXT_FRACLMBITS - 1);
54 			for (b += EXT_FRACHMBITS; !(u.bits.ext_fraclm & m);
55 				m >>= 1)
56 				b++;
57 #endif /* defined(EXT_FRACHMBITS) && defined(EXT_FRACLMBITS) */
58 		} else {
59 			m = 1lu << (EXT_FRACHBITS - 1);
60 			for (b = 0; !(u.bits.ext_frach & m); m >>= 1)
61 				b++;
62 #ifdef EXT_FRACHMBITS
63 			m = 1lu << (EXT_FRACHMBITS - 1);
64 			for (; !(u.bits.ext_frachm & m); m >>= 1)
65 				b++;
66 #endif /* EXT_FRACHMBITS */
67 		}
68 #ifdef EXT_IMPLICIT_NBIT
69 		b++;
70 #endif
71 		return ((long double)(LDBL_MIN_EXP - b - 1));
72 	}
73 	if (u.bits.ext_exp < (LDBL_MAX_EXP << 1) - 1)	/* normal */
74 		return ((long double)(u.bits.ext_exp - LDBL_MAX_EXP + 1));
75 	else						/* +/- inf or nan */
76 		return (x * x);
77 }
78