xref: /freebsd/lib/libc/stdlib/div.c (revision 069ac18495ad8fde2748bc94b0f80a50250bb01d)
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 #include <stdlib.h>		/* div_t */
36 
37 div_t
38 div(int num, int denom)
39 {
40 	div_t r;
41 
42 	r.quot = num / denom;
43 	r.rem = num % denom;
44 #if !defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L)
45 	/*
46 	 * The ANSI standard says that |r.quot| <= |n/d|, where
47 	 * n/d is to be computed in infinite precision.  In other
48 	 * words, we should always truncate the quotient towards
49 	 * 0, never -infinity.
50 	 *
51 	 * Machine division and remainer may work either way when
52 	 * one or both of n or d is negative.  If only one is
53 	 * negative and r.quot has been truncated towards -inf,
54 	 * r.rem will have the same sign as denom and the opposite
55 	 * sign of num; if both are negative and r.quot has been
56 	 * truncated towards -inf, r.rem will be positive (will
57 	 * have the opposite sign of num).  These are considered
58 	 * `wrong'.
59 	 *
60 	 * If both are num and denom are positive, r will always
61 	 * be positive.
62 	 *
63 	 * This all boils down to:
64 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
65 	 * In that case, to get the right answer, add 1 to r.quot and
66 	 * subtract denom from r.rem.
67 	 */
68 	if (num >= 0 && r.rem < 0) {
69 		r.quot++;
70 		r.rem -= denom;
71 	}
72 #endif
73 	return (r);
74 }
75