dp_sub.c 4.8 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_sub(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(), "sub", 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. if (xs != ys)
  64. return x;
  65. SETCX(IEEE754_INVALID_OPERATION);
  66. return ieee754dp_xcpt(ieee754dp_indef(), "sub", x, y);
  67. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
  68. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
  69. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
  70. return ieee754dp_inf(ys ^ 1);
  71. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
  72. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
  73. case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
  74. return x;
  75. /* Zero handling
  76. */
  77. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
  78. if (xs != ys)
  79. return x;
  80. else
  81. return ieee754dp_zero(ieee754_csr.rm ==
  82. IEEE754_RD);
  83. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
  84. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
  85. return x;
  86. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
  87. case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
  88. /* quick fix up */
  89. DPSIGN(y) ^= 1;
  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. /* normalize ym,ye */
  96. DPDNORMY;
  97. break;
  98. case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
  99. /* normalize xm,xe */
  100. DPDNORMX;
  101. break;
  102. case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
  103. break;
  104. }
  105. /* flip sign of y and handle as add */
  106. ys ^= 1;
  107. assert(xm & DP_HIDDEN_BIT);
  108. assert(ym & DP_HIDDEN_BIT);
  109. /* provide guard,round and stick bit dpace */
  110. xm <<= 3;
  111. ym <<= 3;
  112. if (xe > ye) {
  113. /* have to shift y fraction right to align
  114. */
  115. int s = xe - ye;
  116. ym = XDPSRS(ym, s);
  117. ye += s;
  118. } else if (ye > xe) {
  119. /* have to shift x fraction right to align
  120. */
  121. int s = ye - xe;
  122. xm = XDPSRS(xm, s);
  123. xe += s;
  124. }
  125. assert(xe == ye);
  126. assert(xe <= DP_EMAX);
  127. if (xs == ys) {
  128. /* generate 28 bit result of adding two 27 bit numbers
  129. */
  130. xm = xm + ym;
  131. xe = xe;
  132. xs = xs;
  133. if (xm >> (DP_MBITS + 1 + 3)) { /* carry out */
  134. xm = XDPSRS1(xm); /* shift preserving sticky */
  135. xe++;
  136. }
  137. } else {
  138. if (xm >= ym) {
  139. xm = xm - ym;
  140. xe = xe;
  141. xs = xs;
  142. } else {
  143. xm = ym - xm;
  144. xe = xe;
  145. xs = ys;
  146. }
  147. if (xm == 0) {
  148. if (ieee754_csr.rm == IEEE754_RD)
  149. return ieee754dp_zero(1); /* round negative inf. => sign = -1 */
  150. else
  151. return ieee754dp_zero(0); /* other round modes => sign = 1 */
  152. }
  153. /* normalize to rounding precision
  154. */
  155. while ((xm >> (DP_MBITS + 3)) == 0) {
  156. xm <<= 1;
  157. xe--;
  158. }
  159. }
  160. DPNORMRET2(xs, xe, xm, "sub", x, y);
  161. }