div.c 2.8 KB

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  1. /* $OpenBSD: div.c,v 1.5 2005/08/08 08:05:36 espie Exp $ */
  2. /*
  3. * Copyright (c) 1990 Regents of the University of California.
  4. * All rights reserved.
  5. *
  6. * This code is derived from software contributed to Berkeley by
  7. * Chris Torek.
  8. *
  9. * Redistribution and use in source and binary forms, with or without
  10. * modification, are permitted provided that the following conditions
  11. * are met:
  12. * 1. Redistributions of source code must retain the above copyright
  13. * notice, this list of conditions and the following disclaimer.
  14. * 2. Redistributions in binary form must reproduce the above copyright
  15. * notice, this list of conditions and the following disclaimer in the
  16. * documentation and/or other materials provided with the distribution.
  17. * 3. Neither the name of the University nor the names of its contributors
  18. * may be used to endorse or promote products derived from this software
  19. * without specific prior written permission.
  20. *
  21. * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
  22. * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  23. * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  24. * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
  25. * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  26. * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  27. * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  28. * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  29. * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  30. * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  31. * SUCH DAMAGE.
  32. */
  33. #include <stdlib.h> /* div_t */
  34. div_t
  35. div(int num, int denom)
  36. {
  37. div_t r;
  38. r.quot = num / denom;
  39. r.rem = num % denom;
  40. /*
  41. * The ANSI standard says that |r.quot| <= |n/d|, where
  42. * n/d is to be computed in infinite precision. In other
  43. * words, we should always truncate the quotient towards
  44. * 0, never -infinity.
  45. *
  46. * Machine division and remainer may work either way when
  47. * one or both of n or d is negative. If only one is
  48. * negative and r.quot has been truncated towards -inf,
  49. * r.rem will have the same sign as denom and the opposite
  50. * sign of num; if both are negative and r.quot has been
  51. * truncated towards -inf, r.rem will be positive (will
  52. * have the opposite sign of num). These are considered
  53. * `wrong'.
  54. *
  55. * If both are num and denom are positive, r will always
  56. * be positive.
  57. *
  58. * This all boils down to:
  59. * if num >= 0, but r.rem < 0, we got the wrong answer.
  60. * In that case, to get the right answer, add 1 to r.quot and
  61. * subtract denom from r.rem.
  62. */
  63. if (num >= 0 && r.rem < 0) {
  64. r.quot++;
  65. r.rem -= denom;
  66. }
  67. return (r);
  68. }