xref: /freebsd/lib/libc/stdlib/div.c (revision 58f0484fa251c266ede97b591b499fe3dd4f578e)
158f0484fSRodney W. Grimes /*
258f0484fSRodney W. Grimes  * Copyright (c) 1990, 1993
358f0484fSRodney W. Grimes  *	The Regents of the University of California.  All rights reserved.
458f0484fSRodney W. Grimes  *
558f0484fSRodney W. Grimes  * This code is derived from software contributed to Berkeley by
658f0484fSRodney W. Grimes  * Chris Torek.
758f0484fSRodney W. Grimes  *
858f0484fSRodney W. Grimes  * Redistribution and use in source and binary forms, with or without
958f0484fSRodney W. Grimes  * modification, are permitted provided that the following conditions
1058f0484fSRodney W. Grimes  * are met:
1158f0484fSRodney W. Grimes  * 1. Redistributions of source code must retain the above copyright
1258f0484fSRodney W. Grimes  *    notice, this list of conditions and the following disclaimer.
1358f0484fSRodney W. Grimes  * 2. Redistributions in binary form must reproduce the above copyright
1458f0484fSRodney W. Grimes  *    notice, this list of conditions and the following disclaimer in the
1558f0484fSRodney W. Grimes  *    documentation and/or other materials provided with the distribution.
1658f0484fSRodney W. Grimes  * 3. All advertising materials mentioning features or use of this software
1758f0484fSRodney W. Grimes  *    must display the following acknowledgement:
1858f0484fSRodney W. Grimes  *	This product includes software developed by the University of
1958f0484fSRodney W. Grimes  *	California, Berkeley and its contributors.
2058f0484fSRodney W. Grimes  * 4. Neither the name of the University nor the names of its contributors
2158f0484fSRodney W. Grimes  *    may be used to endorse or promote products derived from this software
2258f0484fSRodney W. Grimes  *    without specific prior written permission.
2358f0484fSRodney W. Grimes  *
2458f0484fSRodney W. Grimes  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
2558f0484fSRodney W. Grimes  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
2658f0484fSRodney W. Grimes  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
2758f0484fSRodney W. Grimes  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
2858f0484fSRodney W. Grimes  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
2958f0484fSRodney W. Grimes  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
3058f0484fSRodney W. Grimes  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
3158f0484fSRodney W. Grimes  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
3258f0484fSRodney W. Grimes  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
3358f0484fSRodney W. Grimes  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
3458f0484fSRodney W. Grimes  * SUCH DAMAGE.
3558f0484fSRodney W. Grimes  */
3658f0484fSRodney W. Grimes 
3758f0484fSRodney W. Grimes #if defined(LIBC_SCCS) && !defined(lint)
3858f0484fSRodney W. Grimes static char sccsid[] = "@(#)div.c	8.1 (Berkeley) 6/4/93";
3958f0484fSRodney W. Grimes #endif /* LIBC_SCCS and not lint */
4058f0484fSRodney W. Grimes 
4158f0484fSRodney W. Grimes #include <stdlib.h>		/* div_t */
4258f0484fSRodney W. Grimes 
4358f0484fSRodney W. Grimes div_t
4458f0484fSRodney W. Grimes div(num, denom)
4558f0484fSRodney W. Grimes 	int num, denom;
4658f0484fSRodney W. Grimes {
4758f0484fSRodney W. Grimes 	div_t r;
4858f0484fSRodney W. Grimes 
4958f0484fSRodney W. Grimes 	r.quot = num / denom;
5058f0484fSRodney W. Grimes 	r.rem = num % denom;
5158f0484fSRodney W. Grimes 	/*
5258f0484fSRodney W. Grimes 	 * The ANSI standard says that |r.quot| <= |n/d|, where
5358f0484fSRodney W. Grimes 	 * n/d is to be computed in infinite precision.  In other
5458f0484fSRodney W. Grimes 	 * words, we should always truncate the quotient towards
5558f0484fSRodney W. Grimes 	 * 0, never -infinity.
5658f0484fSRodney W. Grimes 	 *
5758f0484fSRodney W. Grimes 	 * Machine division and remainer may work either way when
5858f0484fSRodney W. Grimes 	 * one or both of n or d is negative.  If only one is
5958f0484fSRodney W. Grimes 	 * negative and r.quot has been truncated towards -inf,
6058f0484fSRodney W. Grimes 	 * r.rem will have the same sign as denom and the opposite
6158f0484fSRodney W. Grimes 	 * sign of num; if both are negative and r.quot has been
6258f0484fSRodney W. Grimes 	 * truncated towards -inf, r.rem will be positive (will
6358f0484fSRodney W. Grimes 	 * have the opposite sign of num).  These are considered
6458f0484fSRodney W. Grimes 	 * `wrong'.
6558f0484fSRodney W. Grimes 	 *
6658f0484fSRodney W. Grimes 	 * If both are num and denom are positive, r will always
6758f0484fSRodney W. Grimes 	 * be positive.
6858f0484fSRodney W. Grimes 	 *
6958f0484fSRodney W. Grimes 	 * This all boils down to:
7058f0484fSRodney W. Grimes 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
7158f0484fSRodney W. Grimes 	 * In that case, to get the right answer, add 1 to r.quot and
7258f0484fSRodney W. Grimes 	 * subtract denom from r.rem.
7358f0484fSRodney W. Grimes 	 */
7458f0484fSRodney W. Grimes 	if (num >= 0 && r.rem < 0) {
7558f0484fSRodney W. Grimes 		r.quot++;
7658f0484fSRodney W. Grimes 		r.rem -= denom;
7758f0484fSRodney W. Grimes 	}
7858f0484fSRodney W. Grimes 	return (r);
7958f0484fSRodney W. Grimes }
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