dp_div.c 4.2 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. *
  8. * ########################################################################
  9. *
  10. * This program is free software; you can distribute it and/or modify it
  11. * under the terms of the GNU General Public License (Version 2) as
  12. * published by the Free Software Foundation.
  13. *
  14. * This program is distributed in the hope it will be useful, but WITHOUT
  15. * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  16. * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
  17. * for more details.
  18. *
  19. * You should have received a copy of the GNU General Public License along
  20. * with this program; if not, write to the Free Software Foundation, Inc.,
  21. * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
  22. *
  23. * ########################################################################
  24. */
  25. #include "ieee754dp.h"
  26. ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y)
  27. {
  28. COMPXDP;
  29. COMPYDP;
  30. EXPLODEXDP;
  31. EXPLODEYDP;
  32. CLEARCX;
  33. FLUSHXDP;
  34. FLUSHYDP;
  35. switch (CLPAIR(xc, yc)) {
  36. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
  37. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
  38. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
  39. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
  40. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
  41. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
  42. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
  43. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
  44. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
  45. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
  46. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
  47. SETCX(IEEE754_INVALID_OPERATION);
  48. return ieee754dp_nanxcpt(ieee754dp_indef(), "div", x, y);
  49. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
  50. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
  51. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
  52. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
  53. return y;
  54. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
  55. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
  56. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
  57. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
  58. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
  59. return x;
  60. /* Infinity handling
  61. */
  62. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
  63. SETCX(IEEE754_INVALID_OPERATION);
  64. return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y);
  65. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
  66. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
  67. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
  68. return ieee754dp_zero(xs ^ ys);
  69. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
  70. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
  71. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
  72. return ieee754dp_inf(xs ^ ys);
  73. /* Zero handling
  74. */
  75. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
  76. SETCX(IEEE754_INVALID_OPERATION);
  77. return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y);
  78. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
  79. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
  80. SETCX(IEEE754_ZERO_DIVIDE);
  81. return ieee754dp_xcpt(ieee754dp_inf(xs ^ ys), "div", x, y);
  82. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
  83. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
  84. return ieee754dp_zero(xs == ys ? 0 : 1);
  85. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
  86. DPDNORMX;
  87. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
  88. DPDNORMY;
  89. break;
  90. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
  91. DPDNORMX;
  92. break;
  93. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
  94. break;
  95. }
  96. assert(xm & DP_HIDDEN_BIT);
  97. assert(ym & DP_HIDDEN_BIT);
  98. /* provide rounding space */
  99. xm <<= 3;
  100. ym <<= 3;
  101. {
  102. /* now the dirty work */
  103. u64 rm = 0;
  104. int re = xe - ye;
  105. u64 bm;
  106. for (bm = DP_MBIT(DP_MBITS + 2); bm; bm >>= 1) {
  107. if (xm >= ym) {
  108. xm -= ym;
  109. rm |= bm;
  110. if (xm == 0)
  111. break;
  112. }
  113. xm <<= 1;
  114. }
  115. rm <<= 1;
  116. if (xm)
  117. rm |= 1; /* have remainder, set sticky */
  118. assert(rm);
  119. /* normalise rm to rounding precision ?
  120. */
  121. while ((rm >> (DP_MBITS + 3)) == 0) {
  122. rm <<= 1;
  123. re--;
  124. }
  125. DPNORMRET2(xs == ys ? 0 : 1, re, rm, "div", x, y);
  126. }
  127. }