xref: /netbsd-src/lib/libc/compat/gen/compat_modf_ieee754.c (revision b1c86f5f087524e68db12794ee9c3e3da1ab17a0)
1 /* $NetBSD: compat_modf_ieee754.c,v 1.4 2010/04/23 19:04:54 drochner Exp $ */
2 
3 /*
4  * Copyright (c) 1994, 1995 Carnegie-Mellon University.
5  * All rights reserved.
6  *
7  * Author: Chris G. Demetriou
8  *
9  * Permission to use, copy, modify and distribute this software and
10  * its documentation is hereby granted, provided that both the copyright
11  * notice and this permission notice appear in all copies of the
12  * software, derivative works or modified versions, and any portions
13  * thereof, and that both notices appear in supporting documentation.
14  *
15  * CARNEGIE MELLON ALLOWS FREE USE OF THIS SOFTWARE IN ITS "AS IS"
16  * CONDITION.  CARNEGIE MELLON DISCLAIMS ANY LIABILITY OF ANY KIND
17  * FOR ANY DAMAGES WHATSOEVER RESULTING FROM THE USE OF THIS SOFTWARE.
18  *
19  * Carnegie Mellon requests users of this software to return to
20  *
21  *  Software Distribution Coordinator  or  Software.Distribution@CS.CMU.EDU
22  *  School of Computer Science
23  *  Carnegie Mellon University
24  *  Pittsburgh PA 15213-3890
25  *
26  * any improvements or extensions that they make and grant Carnegie the
27  * rights to redistribute these changes.
28  */
29 
30 #include <sys/types.h>
31 #include <machine/ieee.h>
32 #include <errno.h>
33 
34 double modf(double, double *);
35 
36 /*
37  * double modf(double val, double *iptr)
38  * returns: f and i such that |f| < 1.0, (f + i) = val, and
39  *	sign(f) == sign(i) == sign(val).
40  *
41  * Beware signedness when doing subtraction, and also operand size!
42  */
43 double
44 modf(double val, double *iptr)
45 {
46 	union ieee_double_u u, v;
47 	u_int64_t frac;
48 
49 	/*
50 	 * If input is +/-Inf or NaN, return +/-0 or NaN.
51 	 */
52 	u.dblu_d = val;
53 	if (u.dblu_dbl.dbl_exp == DBL_EXP_INFNAN) {
54 		*iptr = u.dblu_d;
55 		return (0.0 / u.dblu_d);
56 	}
57 
58 	/*
59 	 * If input can't have a fractional part, return
60 	 * (appropriately signed) zero, and make i be the input.
61 	 */
62 	if ((int)u.dblu_dbl.dbl_exp - DBL_EXP_BIAS > DBL_FRACBITS - 1) {
63 		*iptr = u.dblu_d;
64 		v.dblu_d = 0.0;
65 		v.dblu_dbl.dbl_sign = u.dblu_dbl.dbl_sign;
66 		return (v.dblu_d);
67 	}
68 
69 	/*
70 	 * If |input| < 1.0, return it, and set i to the appropriately
71 	 * signed zero.
72 	 */
73 	if (u.dblu_dbl.dbl_exp < DBL_EXP_BIAS) {
74 		v.dblu_d = 0.0;
75 		v.dblu_dbl.dbl_sign = u.dblu_dbl.dbl_sign;
76 		*iptr = v.dblu_d;
77 		return (u.dblu_d);
78 	}
79 
80 	/*
81 	 * There can be a fractional part of the input.
82 	 * If you look at the math involved for a few seconds, it's
83 	 * plain to see that the integral part is the input, with the
84 	 * low (DBL_FRACBITS - (exponent - DBL_EXP_BIAS)) bits zeroed,
85 	 * the fractional part is the part with the rest of the
86 	 * bits zeroed.  Just zeroing the high bits to get the
87 	 * fractional part would yield a fraction in need of
88 	 * normalization.  Therefore, we take the easy way out, and
89 	 * just use subtraction to get the fractional part.
90 	 */
91 	v.dblu_d = u.dblu_d;
92 	/* Zero the low bits of the fraction, the sleazy way. */
93 	frac = ((u_int64_t)v.dblu_dbl.dbl_frach << 32) + v.dblu_dbl.dbl_fracl;
94 	frac >>= DBL_FRACBITS - (u.dblu_dbl.dbl_exp - DBL_EXP_BIAS);
95 	frac <<= DBL_FRACBITS - (u.dblu_dbl.dbl_exp - DBL_EXP_BIAS);
96 	v.dblu_dbl.dbl_fracl = (unsigned int)frac & 0xffffffff;
97 	v.dblu_dbl.dbl_frach = (unsigned int)(frac >> 32);
98 	*iptr = v.dblu_d;
99 
100 	u.dblu_d -= v.dblu_d;
101 	u.dblu_dbl.dbl_sign = v.dblu_dbl.dbl_sign;
102 	return (u.dblu_d);
103 }
104