xref: /freebsd/lib/libc/stdlib/div.c (revision dd41de95a84d979615a2ef11df6850622bf6184e)
1 /*-
2  * SPDX-License-Identifier: BSD-3-Clause
3  *
4  * Copyright (c) 1990, 1993
5  *	The Regents of the University of California.  All rights reserved.
6  *
7  * This code is derived from software contributed to Berkeley by
8  * Chris Torek.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted provided that the following conditions
12  * are met:
13  * 1. Redistributions of source code must retain the above copyright
14  *    notice, this list of conditions and the following disclaimer.
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in the
17  *    documentation and/or other materials provided with the distribution.
18  * 3. Neither the name of the University nor the names of its contributors
19  *    may be used to endorse or promote products derived from this software
20  *    without specific prior written permission.
21  *
22  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
23  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
24  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
25  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
26  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
27  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
28  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
29  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
30  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
31  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
32  * SUCH DAMAGE.
33  */
34 
35 #if defined(LIBC_SCCS) && !defined(lint)
36 static char sccsid[] = "@(#)div.c	8.1 (Berkeley) 6/4/93";
37 #endif /* LIBC_SCCS and not lint */
38 #include <sys/cdefs.h>
39 __FBSDID("$FreeBSD$");
40 
41 #include <stdlib.h>		/* div_t */
42 
43 div_t
44 div(num, denom)
45 	int num, denom;
46 {
47 	div_t r;
48 
49 	r.quot = num / denom;
50 	r.rem = num % denom;
51 #if !defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L)
52 	/*
53 	 * The ANSI standard says that |r.quot| <= |n/d|, where
54 	 * n/d is to be computed in infinite precision.  In other
55 	 * words, we should always truncate the quotient towards
56 	 * 0, never -infinity.
57 	 *
58 	 * Machine division and remainer may work either way when
59 	 * one or both of n or d is negative.  If only one is
60 	 * negative and r.quot has been truncated towards -inf,
61 	 * r.rem will have the same sign as denom and the opposite
62 	 * sign of num; if both are negative and r.quot has been
63 	 * truncated towards -inf, r.rem will be positive (will
64 	 * have the opposite sign of num).  These are considered
65 	 * `wrong'.
66 	 *
67 	 * If both are num and denom are positive, r will always
68 	 * be positive.
69 	 *
70 	 * This all boils down to:
71 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
72 	 * In that case, to get the right answer, add 1 to r.quot and
73 	 * subtract denom from r.rem.
74 	 */
75 	if (num >= 0 && r.rem < 0) {
76 		r.quot++;
77 		r.rem -= denom;
78 	}
79 #endif
80 	return (r);
81 }
82