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  1. /* Copyright (C) 2007-2015 Free Software Foundation, Inc.
  2.  
  3. This file is part of GCC.
  4.  
  5. GCC is free software; you can redistribute it and/or modify it under
  6. the terms of the GNU General Public License as published by the Free
  7. Software Foundation; either version 3, or (at your option) any later
  8. version.
  9.  
  10. GCC is distributed in the hope that it will be useful, but WITHOUT ANY
  11. WARRANTY; without even the implied warranty of MERCHANTABILITY or
  12. FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  13. for more details.
  14.  
  15. Under Section 7 of GPL version 3, you are granted additional
  16. permissions described in the GCC Runtime Library Exception, version
  17. 3.1, as published by the Free Software Foundation.
  18.  
  19. You should have received a copy of the GNU General Public License and
  20. a copy of the GCC Runtime Library Exception along with this program;
  21. see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
  22. <http://www.gnu.org/licenses/>.  */
  23.  
  24. #define BID_128RES
  25. #include "bid_internal.h"
  26.  
  27. /*
  28.  * Takes a BID64 as input and converts it to a BID128 and returns it.
  29.  */
  30. TYPE0_FUNCTION_ARGTYPE1_NORND (UINT128, bid64_to_bid128, UINT64, x)
  31.  
  32.      UINT128 new_coeff, res;
  33.      UINT64 sign_x;
  34.      int exponent_x;
  35.      UINT64 coefficient_x;
  36.  
  37. if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) {
  38. if (((x) << 1) >= 0xf000000000000000ull) {
  39. #ifdef SET_STATUS_FLAGS
  40.   if (((x) & SNAN_MASK64) == SNAN_MASK64)       // sNaN
  41.     __set_status_flags (pfpsf, INVALID_EXCEPTION);
  42. #endif
  43.   res.w[0] = (coefficient_x & 0x0003ffffffffffffull);
  44.   __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]);
  45.   res.w[1] |= ((coefficient_x) & 0xfc00000000000000ull);
  46.   BID_RETURN (res);
  47. }
  48. }
  49.  
  50. new_coeff.w[0] = coefficient_x;
  51. new_coeff.w[1] = 0;
  52. get_BID128_very_fast (&res, sign_x,
  53.                       exponent_x + DECIMAL_EXPONENT_BIAS_128 -
  54.                       DECIMAL_EXPONENT_BIAS, new_coeff);
  55. BID_RETURN (res);
  56. }       // convert_bid64_to_bid128
  57.  
  58.  
  59.  
  60. /*
  61.  * Takes a BID128 as input and converts it to a BID64 and returns it.
  62.  */
  63. #if DECIMAL_CALL_BY_REFERENCE
  64.  
  65. void
  66. bid128_to_bid64 (UINT64 * pres,
  67.                  UINT128 *
  68.                  px _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
  69.                  _EXC_INFO_PARAM) {
  70.   UINT128 x = *px;
  71. #else
  72.  
  73. UINT64
  74. bid128_to_bid64 (UINT128 x _RND_MODE_PARAM _EXC_FLAGS_PARAM
  75.                  _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
  76. #endif
  77.   UINT128 CX, T128, TP128, Qh, Ql, Qh1, Stemp, Tmp, Tmp1, CX1;
  78.   UINT64 sign_x, carry, cy, res;
  79.   SINT64 D;
  80.   int_float f64, fx;
  81.   int exponent_x, extra_digits, amount, bin_expon_cx;
  82.   unsigned rmode, status, uf_check = 0;
  83.  
  84. #if DECIMAL_CALL_BY_REFERENCE
  85. #if !DECIMAL_GLOBAL_ROUNDING
  86.   _IDEC_round rnd_mode = *prnd_mode;
  87. #endif
  88. #endif
  89.  
  90.   BID_SWAP128 (x);
  91.   // unpack arguments, check for NaN or Infinity or 0
  92.   if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
  93.     if ((x.w[1] << 1) >= 0xf000000000000000ull) {
  94.       Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull);
  95.       Tmp.w[0] = CX.w[0];
  96.       TP128 = reciprocals10_128[18];
  97.       __mul_128x128_full (Qh, Ql, Tmp, TP128);
  98.       amount = recip_scale[18];
  99.       __shr_128 (Tmp, Qh, amount);
  100.       res = (CX.w[1] & 0xfc00000000000000ull) | Tmp.w[0];
  101. #ifdef SET_STATUS_FLAGS
  102.       if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64)        // sNaN
  103.         __set_status_flags (pfpsf, INVALID_EXCEPTION);
  104. #endif
  105.       BID_RETURN_VAL (res);
  106.     }
  107.     exponent_x =
  108.       exponent_x - DECIMAL_EXPONENT_BIAS_128 + DECIMAL_EXPONENT_BIAS;
  109.     if (exponent_x < 0) {
  110.       res = sign_x;
  111.       BID_RETURN_VAL (res);
  112.     }
  113.     if (exponent_x > DECIMAL_MAX_EXPON_64)
  114.       exponent_x = DECIMAL_MAX_EXPON_64;
  115.     res = sign_x | (((UINT64) exponent_x) << 53);
  116.     BID_RETURN_VAL (res);
  117.   }
  118.  
  119.   if (CX.w[1] || (CX.w[0] >= 10000000000000000ull)) {
  120.     // find number of digits in coefficient
  121.     // 2^64
  122.     f64.i = 0x5f800000;
  123.     // fx ~ CX
  124.     fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
  125.     bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
  126.     extra_digits = estimate_decimal_digits[bin_expon_cx] - 16;
  127.     // scale = 38-estimate_decimal_digits[bin_expon_cx];
  128.     D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
  129.     if (D > 0
  130.         || (!D
  131.             && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
  132.       extra_digits++;
  133.  
  134.     exponent_x += extra_digits;
  135.  
  136. #ifndef IEEE_ROUND_NEAREST_TIES_AWAY
  137. #ifndef IEEE_ROUND_NEAREST
  138.     rmode = rnd_mode;
  139.     if (sign_x && (unsigned) (rmode - 1) < 2)
  140.       rmode = 3 - rmode;
  141. #else
  142.     rmode = 0;
  143. #endif
  144. #else
  145.     rmode = 0;
  146. #endif
  147.     if (exponent_x < DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS) {
  148.       uf_check = 1;
  149.       if (-extra_digits + exponent_x - DECIMAL_EXPONENT_BIAS_128 +
  150.           DECIMAL_EXPONENT_BIAS + 35 >= 0) {
  151.         if (exponent_x ==
  152.             DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS - 1) {
  153.           T128 = round_const_table_128[rmode][extra_digits];
  154.           __add_carry_out (CX1.w[0], carry, T128.w[0], CX.w[0]);
  155.           CX1.w[1] = CX.w[1] + T128.w[1] + carry;
  156.           if (__unsigned_compare_ge_128
  157.               (CX1, power10_table_128[extra_digits + 16]))
  158.             uf_check = 0;
  159.         }
  160.         extra_digits =
  161.           extra_digits + DECIMAL_EXPONENT_BIAS_128 -
  162.           DECIMAL_EXPONENT_BIAS - exponent_x;
  163.         exponent_x = DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS;
  164.         //uf_check = 2;
  165.       } else
  166.         rmode = ROUNDING_TO_ZERO;
  167.     }
  168.  
  169.     T128 = round_const_table_128[rmode][extra_digits];
  170.     __add_carry_out (CX.w[0], carry, T128.w[0], CX.w[0]);
  171.     CX.w[1] = CX.w[1] + T128.w[1] + carry;
  172.  
  173.     TP128 = reciprocals10_128[extra_digits];
  174.     __mul_128x128_full (Qh, Ql, CX, TP128);
  175.     amount = recip_scale[extra_digits];
  176.  
  177.     if (amount >= 64) {
  178.       CX.w[0] = Qh.w[1] >> (amount - 64);
  179.       CX.w[1] = 0;
  180.     } else {
  181.       __shr_128 (CX, Qh, amount);
  182.     }
  183.  
  184. #ifndef IEEE_ROUND_NEAREST_TIES_AWAY
  185. #ifndef IEEE_ROUND_NEAREST
  186.     if (!(rmode))
  187. #endif
  188.       if (CX.w[0] & 1) {
  189.         // check whether fractional part of initial_P/10^ed1 is exactly .5
  190.  
  191.         // get remainder
  192.         __shl_128_long (Qh1, Qh, (128 - amount));
  193.  
  194.         if (!Qh1.w[1] && !Qh1.w[0]
  195.             && (Ql.w[1] < reciprocals10_128[extra_digits].w[1]
  196.                 || (Ql.w[1] == reciprocals10_128[extra_digits].w[1]
  197.                     && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) {
  198.           CX.w[0]--;
  199.         }
  200.       }
  201. #endif
  202.  
  203.     {
  204.       status = INEXACT_EXCEPTION;
  205.       // get remainder
  206.       __shl_128_long (Qh1, Qh, (128 - amount));
  207.  
  208.       switch (rmode) {
  209.       case ROUNDING_TO_NEAREST:
  210.       case ROUNDING_TIES_AWAY:
  211.         // test whether fractional part is 0
  212.         if (Qh1.w[1] == 0x8000000000000000ull && (!Qh1.w[0])
  213.             && (Ql.w[1] < reciprocals10_128[extra_digits].w[1]
  214.                 || (Ql.w[1] == reciprocals10_128[extra_digits].w[1]
  215.                     && Ql.w[0] < reciprocals10_128[extra_digits].w[0])))
  216.           status = EXACT_STATUS;
  217.         break;
  218.       case ROUNDING_DOWN:
  219.       case ROUNDING_TO_ZERO:
  220.         if ((!Qh1.w[1]) && (!Qh1.w[0])
  221.             && (Ql.w[1] < reciprocals10_128[extra_digits].w[1]
  222.                 || (Ql.w[1] == reciprocals10_128[extra_digits].w[1]
  223.                     && Ql.w[0] < reciprocals10_128[extra_digits].w[0])))
  224.           status = EXACT_STATUS;
  225.         break;
  226.       default:
  227.         // round up
  228.         __add_carry_out (Stemp.w[0], cy, Ql.w[0],
  229.                          reciprocals10_128[extra_digits].w[0]);
  230.         __add_carry_in_out (Stemp.w[1], carry, Ql.w[1],
  231.                             reciprocals10_128[extra_digits].w[1], cy);
  232.         __shr_128_long (Qh, Qh1, (128 - amount));
  233.         Tmp.w[0] = 1;
  234.         Tmp.w[1] = 0;
  235.         __shl_128_long (Tmp1, Tmp, amount);
  236.         Qh.w[0] += carry;
  237.         if (Qh.w[0] < carry)
  238.           Qh.w[1]++;
  239.         if (__unsigned_compare_ge_128 (Qh, Tmp1))
  240.           status = EXACT_STATUS;
  241.       }
  242.  
  243.       if (status != EXACT_STATUS) {
  244.         if (uf_check)
  245.           status |= UNDERFLOW_EXCEPTION;
  246. #ifdef SET_STATUS_FLAGS
  247.         __set_status_flags (pfpsf, status);
  248. #endif
  249.       }
  250.  
  251.  
  252.     }
  253.  
  254.   }
  255.  
  256.   res =
  257.     get_BID64 (sign_x,
  258.                exponent_x - DECIMAL_EXPONENT_BIAS_128 +
  259.                DECIMAL_EXPONENT_BIAS, CX.w[0], rnd_mode, pfpsf);
  260.   BID_RETURN_VAL (res);
  261.  
  262. }
  263.