1 1.8 abs /* $NetBSD: div.c,v 1.8 2012/06/25 22:32:45 abs Exp $ */ 2 1.4 thorpej 3 1.1 cgd /* 4 1.6 perry * Copyright (c) 1990, 1993 5 1.6 perry * The Regents of the University of California. All rights reserved. 6 1.1 cgd * 7 1.1 cgd * This code is derived from software contributed to Berkeley by 8 1.1 cgd * Chris Torek. 9 1.1 cgd * 10 1.1 cgd * Redistribution and use in source and binary forms, with or without 11 1.1 cgd * modification, are permitted provided that the following conditions 12 1.1 cgd * are met: 13 1.1 cgd * 1. Redistributions of source code must retain the above copyright 14 1.1 cgd * notice, this list of conditions and the following disclaimer. 15 1.1 cgd * 2. Redistributions in binary form must reproduce the above copyright 16 1.1 cgd * notice, this list of conditions and the following disclaimer in the 17 1.1 cgd * documentation and/or other materials provided with the distribution. 18 1.7 agc * 3. Neither the name of the University nor the names of its contributors 19 1.1 cgd * may be used to endorse or promote products derived from this software 20 1.1 cgd * without specific prior written permission. 21 1.1 cgd * 22 1.1 cgd * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 23 1.1 cgd * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 24 1.1 cgd * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 25 1.1 cgd * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 26 1.1 cgd * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 27 1.1 cgd * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 28 1.1 cgd * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 29 1.1 cgd * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 30 1.1 cgd * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 31 1.1 cgd * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 32 1.1 cgd * SUCH DAMAGE. 33 1.1 cgd */ 34 1.1 cgd 35 1.5 christos #include <sys/cdefs.h> 36 1.1 cgd #if defined(LIBC_SCCS) && !defined(lint) 37 1.4 thorpej #if 0 38 1.6 perry static char sccsid[] = "@(#)div.c 8.1 (Berkeley) 6/4/93"; 39 1.4 thorpej #else 40 1.8 abs __RCSID("$NetBSD: div.c,v 1.8 2012/06/25 22:32:45 abs Exp $"); 41 1.4 thorpej #endif 42 1.1 cgd #endif /* LIBC_SCCS and not lint */ 43 1.1 cgd 44 1.1 cgd #include <stdlib.h> /* div_t */ 45 1.1 cgd 46 1.1 cgd div_t 47 1.8 abs div(int num, int denom) 48 1.1 cgd { 49 1.1 cgd div_t r; 50 1.1 cgd 51 1.1 cgd r.quot = num / denom; 52 1.1 cgd r.rem = num % denom; 53 1.1 cgd /* 54 1.1 cgd * The ANSI standard says that |r.quot| <= |n/d|, where 55 1.1 cgd * n/d is to be computed in infinite precision. In other 56 1.1 cgd * words, we should always truncate the quotient towards 57 1.1 cgd * 0, never -infinity. 58 1.1 cgd * 59 1.1 cgd * Machine division and remainer may work either way when 60 1.1 cgd * one or both of n or d is negative. If only one is 61 1.1 cgd * negative and r.quot has been truncated towards -inf, 62 1.1 cgd * r.rem will have the same sign as denom and the opposite 63 1.1 cgd * sign of num; if both are negative and r.quot has been 64 1.1 cgd * truncated towards -inf, r.rem will be positive (will 65 1.1 cgd * have the opposite sign of num). These are considered 66 1.1 cgd * `wrong'. 67 1.1 cgd * 68 1.1 cgd * If both are num and denom are positive, r will always 69 1.1 cgd * be positive. 70 1.1 cgd * 71 1.1 cgd * This all boils down to: 72 1.1 cgd * if num >= 0, but r.rem < 0, we got the wrong answer. 73 1.1 cgd * In that case, to get the right answer, add 1 to r.quot and 74 1.1 cgd * subtract denom from r.rem. 75 1.1 cgd */ 76 1.1 cgd if (num >= 0 && r.rem < 0) { 77 1.1 cgd r.quot++; 78 1.1 cgd r.rem -= denom; 79 1.1 cgd } 80 1.1 cgd return (r); 81 1.1 cgd } 82