xref: /freebsd/lib/libc/stdlib/div.c (revision 0b87f79976047c8f4332bbf7dc03146f6b0de79f)
1 /*
2  * Copyright (c) 1990, 1993
3  *	The Regents of the University of California.  All rights reserved.
4  *
5  * This code is derived from software contributed to Berkeley by
6  * Chris Torek.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  * 1. Redistributions of source code must retain the above copyright
12  *    notice, this list of conditions and the following disclaimer.
13  * 2. Redistributions in binary form must reproduce the above copyright
14  *    notice, this list of conditions and the following disclaimer in the
15  *    documentation and/or other materials provided with the distribution.
16  * 3. All advertising materials mentioning features or use of this software
17  *    must display the following acknowledgement:
18  *	This product includes software developed by the University of
19  *	California, Berkeley and its contributors.
20  * 4. Neither the name of the University nor the names of its contributors
21  *    may be used to endorse or promote products derived from this software
22  *    without specific prior written permission.
23  *
24  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
25  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
26  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
27  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
28  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
29  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
30  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
31  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
32  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
33  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
34  * SUCH DAMAGE.
35  */
36 
37 #if defined(LIBC_SCCS) && !defined(lint)
38 static char sccsid[] = "@(#)div.c	8.1 (Berkeley) 6/4/93";
39 #endif /* LIBC_SCCS and not lint */
40 #include <sys/cdefs.h>
41 __FBSDID("$FreeBSD$");
42 
43 #include <stdlib.h>		/* div_t */
44 
45 div_t
46 div(num, denom)
47 	int num, denom;
48 {
49 	div_t r;
50 
51 	r.quot = num / denom;
52 	r.rem = num % denom;
53 	/*
54 	 * The ANSI standard says that |r.quot| <= |n/d|, where
55 	 * n/d is to be computed in infinite precision.  In other
56 	 * words, we should always truncate the quotient towards
57 	 * 0, never -infinity.
58 	 *
59 	 * Machine division and remainer may work either way when
60 	 * one or both of n or d is negative.  If only one is
61 	 * negative and r.quot has been truncated towards -inf,
62 	 * r.rem will have the same sign as denom and the opposite
63 	 * sign of num; if both are negative and r.quot has been
64 	 * truncated towards -inf, r.rem will be positive (will
65 	 * have the opposite sign of num).  These are considered
66 	 * `wrong'.
67 	 *
68 	 * If both are num and denom are positive, r will always
69 	 * be positive.
70 	 *
71 	 * This all boils down to:
72 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
73 	 * In that case, to get the right answer, add 1 to r.quot and
74 	 * subtract denom from r.rem.
75 	 */
76 	if (num >= 0 && r.rem < 0) {
77 		r.quot++;
78 		r.rem -= denom;
79 	}
80 	return (r);
81 }
82