xref: /freebsd/lib/libc/stdlib/div.c (revision 0b3105a37d7adcadcb720112fed4dc4e8040be99)
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. Neither the name of the University nor the names of its contributors
17  *    may be used to endorse or promote products derived from this software
18  *    without specific prior written permission.
19  *
20  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
21  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
24  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30  * SUCH DAMAGE.
31  */
32 
33 #if defined(LIBC_SCCS) && !defined(lint)
34 static char sccsid[] = "@(#)div.c	8.1 (Berkeley) 6/4/93";
35 #endif /* LIBC_SCCS and not lint */
36 #include <sys/cdefs.h>
37 __FBSDID("$FreeBSD$");
38 
39 #include <stdlib.h>		/* div_t */
40 
41 div_t
42 div(num, denom)
43 	int num, denom;
44 {
45 	div_t r;
46 
47 	r.quot = num / denom;
48 	r.rem = num % denom;
49 	/*
50 	 * The ANSI standard says that |r.quot| <= |n/d|, where
51 	 * n/d is to be computed in infinite precision.  In other
52 	 * words, we should always truncate the quotient towards
53 	 * 0, never -infinity.
54 	 *
55 	 * Machine division and remainer may work either way when
56 	 * one or both of n or d is negative.  If only one is
57 	 * negative and r.quot has been truncated towards -inf,
58 	 * r.rem will have the same sign as denom and the opposite
59 	 * sign of num; if both are negative and r.quot has been
60 	 * truncated towards -inf, r.rem will be positive (will
61 	 * have the opposite sign of num).  These are considered
62 	 * `wrong'.
63 	 *
64 	 * If both are num and denom are positive, r will always
65 	 * be positive.
66 	 *
67 	 * This all boils down to:
68 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
69 	 * In that case, to get the right answer, add 1 to r.quot and
70 	 * subtract denom from r.rem.
71 	 */
72 	if (num >= 0 && r.rem < 0) {
73 		r.quot++;
74 		r.rem -= denom;
75 	}
76 	return (r);
77 }
78