dp_div.c 4.3 KB

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  1. /* IEEE754 floating point arithmetic
  2. * double precision: common utilities
  3. */
  4. /*
  5. * MIPS floating point support
  6. * Copyright (C) 1994-2000 Algorithmics Ltd.
  7. * http://www.algor.co.uk
  8. *
  9. * ########################################################################
  10. *
  11. * This program is free software; you can distribute it and/or modify it
  12. * under the terms of the GNU General Public License (Version 2) as
  13. * published by the Free Software Foundation.
  14. *
  15. * This program is distributed in the hope it will be useful, but WITHOUT
  16. * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  17. * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
  18. * for more details.
  19. *
  20. * You should have received a copy of the GNU General Public License along
  21. * with this program; if not, write to the Free Software Foundation, Inc.,
  22. * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
  23. *
  24. * ########################################################################
  25. */
  26. #include "ieee754dp.h"
  27. ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y)
  28. {
  29. COMPXDP;
  30. COMPYDP;
  31. EXPLODEXDP;
  32. EXPLODEYDP;
  33. CLEARCX;
  34. FLUSHXDP;
  35. FLUSHYDP;
  36. switch (CLPAIR(xc, yc)) {
  37. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
  38. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
  39. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
  40. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
  41. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
  42. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
  43. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
  44. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
  45. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
  46. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
  47. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
  48. SETCX(IEEE754_INVALID_OPERATION);
  49. return ieee754dp_nanxcpt(ieee754dp_indef(), "div", x, y);
  50. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
  51. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
  52. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
  53. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
  54. return y;
  55. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
  56. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
  57. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
  58. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
  59. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
  60. return x;
  61. /* Infinity handling
  62. */
  63. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
  64. SETCX(IEEE754_INVALID_OPERATION);
  65. return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y);
  66. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
  67. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
  68. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
  69. return ieee754dp_zero(xs ^ ys);
  70. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
  71. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
  72. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
  73. return ieee754dp_inf(xs ^ ys);
  74. /* Zero handling
  75. */
  76. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
  77. SETCX(IEEE754_INVALID_OPERATION);
  78. return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y);
  79. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
  80. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
  81. SETCX(IEEE754_ZERO_DIVIDE);
  82. return ieee754dp_xcpt(ieee754dp_inf(xs ^ ys), "div", x, y);
  83. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
  84. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
  85. return ieee754dp_zero(xs == ys ? 0 : 1);
  86. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
  87. DPDNORMX;
  88. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
  89. DPDNORMY;
  90. break;
  91. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
  92. DPDNORMX;
  93. break;
  94. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
  95. break;
  96. }
  97. assert(xm & DP_HIDDEN_BIT);
  98. assert(ym & DP_HIDDEN_BIT);
  99. /* provide rounding space */
  100. xm <<= 3;
  101. ym <<= 3;
  102. {
  103. /* now the dirty work */
  104. u64 rm = 0;
  105. int re = xe - ye;
  106. u64 bm;
  107. for (bm = DP_MBIT(DP_MBITS + 2); bm; bm >>= 1) {
  108. if (xm >= ym) {
  109. xm -= ym;
  110. rm |= bm;
  111. if (xm == 0)
  112. break;
  113. }
  114. xm <<= 1;
  115. }
  116. rm <<= 1;
  117. if (xm)
  118. rm |= 1; /* have remainder, set sticky */
  119. assert(rm);
  120. /* normalise rm to rounding precision ?
  121. */
  122. while ((rm >> (DP_MBITS + 3)) == 0) {
  123. rm <<= 1;
  124. re--;
  125. }
  126. DPNORMRET2(xs == ys ? 0 : 1, re, rm, "div", x, y);
  127. }
  128. }