xref: /openbsd-src/lib/libm/src/s_logbl.c (revision 390c8400525fc0ecc9e2c49c2246076b1b49fe19)
1*390c8400Smartynas /*	$OpenBSD: s_logbl.c,v 1.1 2008/12/09 20:00:35 martynas Exp $	*/
2*390c8400Smartynas /*
3*390c8400Smartynas  * From: @(#)s_ilogb.c 5.1 93/09/24
4*390c8400Smartynas  * ====================================================
5*390c8400Smartynas  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6*390c8400Smartynas  *
7*390c8400Smartynas  * Developed at SunPro, a Sun Microsystems, Inc. business.
8*390c8400Smartynas  * Permission to use, copy, modify, and distribute this
9*390c8400Smartynas  * software is freely granted, provided that this notice
10*390c8400Smartynas  * is preserved.
11*390c8400Smartynas  * ====================================================
12*390c8400Smartynas  */
13*390c8400Smartynas 
14*390c8400Smartynas #include <sys/types.h>
15*390c8400Smartynas #include <machine/ieee.h>
16*390c8400Smartynas #include <float.h>
17*390c8400Smartynas #include <limits.h>
18*390c8400Smartynas #include <math.h>
19*390c8400Smartynas 
20*390c8400Smartynas long double
logbl(long double x)21*390c8400Smartynas logbl(long double x)
22*390c8400Smartynas {
23*390c8400Smartynas 	union {
24*390c8400Smartynas 		long double e;
25*390c8400Smartynas 		struct ieee_ext bits;
26*390c8400Smartynas 	} u;
27*390c8400Smartynas 	unsigned long m;
28*390c8400Smartynas 	int b;
29*390c8400Smartynas 
30*390c8400Smartynas 	u.e = x;
31*390c8400Smartynas 	if (u.bits.ext_exp == 0) {
32*390c8400Smartynas 		if ((u.bits.ext_fracl
33*390c8400Smartynas #ifdef EXT_FRACLMBITS
34*390c8400Smartynas 			| u.bits.ext_fraclm
35*390c8400Smartynas #endif /* EXT_FRACLMBITS */
36*390c8400Smartynas #ifdef EXT_FRACHMBITS
37*390c8400Smartynas 			| u.bits.ext_frachm
38*390c8400Smartynas #endif /* EXT_FRACHMBITS */
39*390c8400Smartynas 			| u.bits.ext_frach) == 0) {	/* x == 0 */
40*390c8400Smartynas 			u.bits.ext_sign = 1;
41*390c8400Smartynas 			return (1.0L / u.e);
42*390c8400Smartynas 		}
43*390c8400Smartynas 		/* denormalized */
44*390c8400Smartynas 		if (u.bits.ext_frach == 0
45*390c8400Smartynas #ifdef EXT_FRACHMBITS
46*390c8400Smartynas 			&& u.bits.ext_frachm == 0
47*390c8400Smartynas #endif
48*390c8400Smartynas 			) {
49*390c8400Smartynas 			m = 1lu << (EXT_FRACLBITS - 1);
50*390c8400Smartynas 			for (b = EXT_FRACHBITS; !(u.bits.ext_fracl & m); m >>= 1)
51*390c8400Smartynas 				b++;
52*390c8400Smartynas #if defined(EXT_FRACHMBITS) && defined(EXT_FRACLMBITS)
53*390c8400Smartynas 			m = 1lu << (EXT_FRACLMBITS - 1);
54*390c8400Smartynas 			for (b += EXT_FRACHMBITS; !(u.bits.ext_fraclm & m);
55*390c8400Smartynas 				m >>= 1)
56*390c8400Smartynas 				b++;
57*390c8400Smartynas #endif /* defined(EXT_FRACHMBITS) && defined(EXT_FRACLMBITS) */
58*390c8400Smartynas 		} else {
59*390c8400Smartynas 			m = 1lu << (EXT_FRACHBITS - 1);
60*390c8400Smartynas 			for (b = 0; !(u.bits.ext_frach & m); m >>= 1)
61*390c8400Smartynas 				b++;
62*390c8400Smartynas #ifdef EXT_FRACHMBITS
63*390c8400Smartynas 			m = 1lu << (EXT_FRACHMBITS - 1);
64*390c8400Smartynas 			for (; !(u.bits.ext_frachm & m); m >>= 1)
65*390c8400Smartynas 				b++;
66*390c8400Smartynas #endif /* EXT_FRACHMBITS */
67*390c8400Smartynas 		}
68*390c8400Smartynas #ifdef EXT_IMPLICIT_NBIT
69*390c8400Smartynas 		b++;
70*390c8400Smartynas #endif
71*390c8400Smartynas 		return ((long double)(LDBL_MIN_EXP - b - 1));
72*390c8400Smartynas 	}
73*390c8400Smartynas 	if (u.bits.ext_exp < (LDBL_MAX_EXP << 1) - 1)	/* normal */
74*390c8400Smartynas 		return ((long double)(u.bits.ext_exp - LDBL_MAX_EXP + 1));
75*390c8400Smartynas 	else						/* +/- inf or nan */
76*390c8400Smartynas 		return (x * x);
77*390c8400Smartynas }
78