xref: /original-bsd/lib/libc/stdlib/div.c (revision c3e32dec)
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  * %sccs.include.redist.c%
9  */
10 
11 #if defined(LIBC_SCCS) && !defined(lint)
12 static char sccsid[] = "@(#)div.c	8.1 (Berkeley) 06/04/93";
13 #endif /* LIBC_SCCS and not lint */
14 
15 #include <stdlib.h>		/* div_t */
16 
17 div_t
18 div(num, denom)
19 	int num, denom;
20 {
21 	div_t r;
22 
23 	r.quot = num / denom;
24 	r.rem = num % denom;
25 	/*
26 	 * The ANSI standard says that |r.quot| <= |n/d|, where
27 	 * n/d is to be computed in infinite precision.  In other
28 	 * words, we should always truncate the quotient towards
29 	 * 0, never -infinity.
30 	 *
31 	 * Machine division and remainer may work either way when
32 	 * one or both of n or d is negative.  If only one is
33 	 * negative and r.quot has been truncated towards -inf,
34 	 * r.rem will have the same sign as denom and the opposite
35 	 * sign of num; if both are negative and r.quot has been
36 	 * truncated towards -inf, r.rem will be positive (will
37 	 * have the opposite sign of num).  These are considered
38 	 * `wrong'.
39 	 *
40 	 * If both are num and denom are positive, r will always
41 	 * be positive.
42 	 *
43 	 * This all boils down to:
44 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
45 	 * In that case, to get the right answer, add 1 to r.quot and
46 	 * subtract denom from r.rem.
47 	 */
48 	if (num >= 0 && r.rem < 0) {
49 		r.quot++;
50 		r.rem -= denom;
51 	}
52 	return (r);
53 }
54