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      1 /*	$NetBSD: div.c,v 1.8 2012/06/25 22:32:45 abs Exp $	*/
      2 
      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 <sys/cdefs.h>
     36 #if defined(LIBC_SCCS) && !defined(lint)
     37 #if 0
     38 static char sccsid[] = "@(#)div.c	8.1 (Berkeley) 6/4/93";
     39 #else
     40 __RCSID("$NetBSD: div.c,v 1.8 2012/06/25 22:32:45 abs Exp $");
     41 #endif
     42 #endif /* LIBC_SCCS and not lint */
     43 
     44 #include <stdlib.h>		/* div_t */
     45 
     46 div_t
     47 div(int num, int denom)
     48 {
     49 	div_t r;
     50 
     51 	r.quot = num / denom;
     52 	r.rem = num % denom;
     53 	/*
     54 	 * The ANSI standard says that |r.quot| <= |n/d|, where
     55 	 * n/d is to be computed in infinite precision.  In other
     56 	 * words, we should always truncate the quotient towards
     57 	 * 0, never -infinity.
     58 	 *
     59 	 * Machine division and remainer may work either way when
     60 	 * one or both of n or d is negative.  If only one is
     61 	 * negative and r.quot has been truncated towards -inf,
     62 	 * r.rem will have the same sign as denom and the opposite
     63 	 * sign of num; if both are negative and r.quot has been
     64 	 * truncated towards -inf, r.rem will be positive (will
     65 	 * have the opposite sign of num).  These are considered
     66 	 * `wrong'.
     67 	 *
     68 	 * If both are num and denom are positive, r will always
     69 	 * be positive.
     70 	 *
     71 	 * This all boils down to:
     72 	 *	if num >= 0, but r.rem < 0, we got the wrong answer.
     73 	 * In that case, to get the right answer, add 1 to r.quot and
     74 	 * subtract denom from r.rem.
     75 	 */
     76 	if (num >= 0 && r.rem < 0) {
     77 		r.quot++;
     78 		r.rem -= denom;
     79 	}
     80 	return (r);
     81 }
     82