dp_add.c 4.6 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. */
  27. #include "ieee754dp.h"
  28. ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y)
  29. {
  30. COMPXDP;
  31. COMPYDP;
  32. EXPLODEXDP;
  33. EXPLODEYDP;
  34. CLEARCX;
  35. FLUSHXDP;
  36. FLUSHYDP;
  37. switch (CLPAIR(xc, yc)) {
  38. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
  39. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
  40. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
  41. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
  42. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
  43. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
  44. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
  45. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
  46. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
  47. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
  48. case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
  49. SETCX(IEEE754_INVALID_OPERATION);
  50. return ieee754dp_nanxcpt(ieee754dp_indef(), "add", x, y);
  51. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
  52. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
  53. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
  54. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
  55. return y;
  56. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
  57. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
  58. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
  59. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
  60. case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
  61. return x;
  62. /* Infinity handling
  63. */
  64. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
  65. if (xs == ys)
  66. return x;
  67. SETCX(IEEE754_INVALID_OPERATION);
  68. return ieee754dp_xcpt(ieee754dp_indef(), "add", x, y);
  69. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
  70. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
  71. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
  72. return y;
  73. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
  74. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
  75. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
  76. return x;
  77. /* Zero handling
  78. */
  79. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
  80. if (xs == ys)
  81. return x;
  82. else
  83. return ieee754dp_zero(ieee754_csr.rm ==
  84. IEEE754_RD);
  85. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
  86. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
  87. return x;
  88. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
  89. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
  90. return y;
  91. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
  92. DPDNORMX;
  93. /* FALL THROUGH */
  94. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
  95. DPDNORMY;
  96. break;
  97. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
  98. DPDNORMX;
  99. break;
  100. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
  101. break;
  102. }
  103. assert(xm & DP_HIDDEN_BIT);
  104. assert(ym & DP_HIDDEN_BIT);
  105. /* provide guard,round and stick bit space */
  106. xm <<= 3;
  107. ym <<= 3;
  108. if (xe > ye) {
  109. /* have to shift y fraction right to align
  110. */
  111. int s = xe - ye;
  112. ym = XDPSRS(ym, s);
  113. ye += s;
  114. } else if (ye > xe) {
  115. /* have to shift x fraction right to align
  116. */
  117. int s = ye - xe;
  118. xm = XDPSRS(xm, s);
  119. xe += s;
  120. }
  121. assert(xe == ye);
  122. assert(xe <= DP_EMAX);
  123. if (xs == ys) {
  124. /* generate 28 bit result of adding two 27 bit numbers
  125. * leaving result in xm,xs,xe
  126. */
  127. xm = xm + ym;
  128. xe = xe;
  129. xs = xs;
  130. if (xm >> (DP_MBITS + 1 + 3)) { /* carry out */
  131. xm = XDPSRS1(xm);
  132. xe++;
  133. }
  134. } else {
  135. if (xm >= ym) {
  136. xm = xm - ym;
  137. xe = xe;
  138. xs = xs;
  139. } else {
  140. xm = ym - xm;
  141. xe = xe;
  142. xs = ys;
  143. }
  144. if (xm == 0)
  145. return ieee754dp_zero(ieee754_csr.rm ==
  146. IEEE754_RD);
  147. /* normalize to rounding precision */
  148. while ((xm >> (DP_MBITS + 3)) == 0) {
  149. xm <<= 1;
  150. xe--;
  151. }
  152. }
  153. DPNORMRET2(xs, xe, xm, "add", x, y);
  154. }