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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 BID32 as input and converts it to a BID128 and returns it.
  29.  */
  30. TYPE0_FUNCTION_ARGTYPE1_NORND (UINT128, bid32_to_bid128, UINT32, x)
  31.  
  32.      UINT128 new_coeff, res;
  33.      UINT32 sign_x;
  34.      int exponent_x;
  35.      UINT32 coefficient_x;
  36.  
  37. if (!unpack_BID32 (&sign_x, &exponent_x, &coefficient_x, x)) {
  38. if (((x) & 0x78000000) == 0x78000000) {
  39. #ifdef SET_STATUS_FLAGS
  40.   if (((x) & 0x7e000000) == 0x7e000000) // sNaN
  41.     __set_status_flags (pfpsf, INVALID_EXCEPTION);
  42. #endif
  43.   res.w[0] = (coefficient_x & 0x000fffff);
  44.   __mul_64x128_low (res, res.w[0], power10_table_128[27]);
  45.   res.w[1] |=
  46.     ((((UINT64) coefficient_x) << 32) & 0xfc00000000000000ull);
  47.  
  48.   BID_RETURN (res);
  49. }
  50. }
  51.  
  52. new_coeff.w[0] = coefficient_x;
  53. new_coeff.w[1] = 0;
  54. get_BID128_very_fast (&res, ((UINT64) sign_x) << 32,
  55.                       exponent_x + DECIMAL_EXPONENT_BIAS_128 -
  56.                       DECIMAL_EXPONENT_BIAS_32, new_coeff);
  57. BID_RETURN (res);
  58. }       // convert_bid32_to_bid128
  59.  
  60.  
  61. /*
  62.  * Takes a BID128 as input and converts it to a BID32 and returns it.
  63.  */
  64. #if DECIMAL_CALL_BY_REFERENCE
  65.  
  66. void
  67. bid128_to_bid32 (UINT32 * pres,
  68.                  UINT128 *
  69.                  px _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
  70.                  _EXC_INFO_PARAM) {
  71.   UINT128 x = *px;
  72. #else
  73.  
  74. UINT32
  75. bid128_to_bid32 (UINT128 x _RND_MODE_PARAM _EXC_FLAGS_PARAM
  76.                  _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
  77. #endif
  78.   UINT128 CX, T128, TP128, Qh, Ql, Qh1, Stemp, Tmp, Tmp1, CX1;
  79.   UINT64 sign_x, carry, cy;
  80.   SINT64 D;
  81.   UINT32 res;
  82.   int_float f64, fx;
  83.   int exponent_x, extra_digits, amount, bin_expon_cx, uf_check = 0;
  84.   unsigned rmode, status;
  85.  
  86. #if DECIMAL_CALL_BY_REFERENCE
  87. #if !DECIMAL_GLOBAL_ROUNDING
  88.   _IDEC_round rnd_mode = *prnd_mode;
  89. #endif
  90. #endif
  91.  
  92.   BID_SWAP128 (x);
  93.   // unpack arguments, check for NaN or Infinity or 0
  94.   if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) {
  95.     if (((x.w[1]) & 0x7800000000000000ull) == 0x7800000000000000ull) {
  96.       Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull);
  97.       Tmp.w[0] = CX.w[0];
  98.       TP128 = reciprocals10_128[27];
  99.       __mul_128x128_full (Qh, Ql, Tmp, TP128);
  100.       amount = recip_scale[27] - 64;
  101.       res = ((CX.w[1] >> 32) & 0xfc000000) | (Qh.w[1] >> amount);
  102. #ifdef SET_STATUS_FLAGS
  103.       if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64)        // sNaN
  104.         __set_status_flags (pfpsf, INVALID_EXCEPTION);
  105. #endif
  106.       BID_RETURN_VAL (res);
  107.     }
  108.     // x is 0
  109.     exponent_x =
  110.       exponent_x - DECIMAL_EXPONENT_BIAS_128 + DECIMAL_EXPONENT_BIAS_32;
  111.     if (exponent_x < 0)
  112.       exponent_x = 0;
  113.     if (exponent_x > DECIMAL_MAX_EXPON_32)
  114.       exponent_x = DECIMAL_MAX_EXPON_32;
  115.     res = (sign_x >> 32) | (exponent_x << 23);
  116.     BID_RETURN_VAL (res);
  117.  
  118.   }
  119.  
  120.   if (CX.w[1] || (CX.w[0] >= 10000000)) {
  121.     // find number of digits in coefficient
  122.     // 2^64
  123.     f64.i = 0x5f800000;
  124.     // fx ~ CX
  125.     fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0];
  126.     bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f;
  127.     extra_digits = estimate_decimal_digits[bin_expon_cx] - 7;
  128.     // scale = 38-estimate_decimal_digits[bin_expon_cx];
  129.     D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1];
  130.     if (D > 0
  131.         || (!D
  132.             && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0]))
  133.       extra_digits++;
  134.  
  135.     exponent_x += extra_digits;
  136.  
  137. #ifndef IEEE_ROUND_NEAREST_TIES_AWAY
  138. #ifndef IEEE_ROUND_NEAREST
  139.     rmode = rnd_mode;
  140.     if (sign_x && (unsigned) (rmode - 1) < 2)
  141.       rmode = 3 - rmode;
  142. #else
  143.     rmode = 0;
  144. #endif
  145. #else
  146.     rmode = 0;
  147. #endif
  148.     if (exponent_x <
  149.         DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS_32) {
  150.       uf_check = 1;
  151.       if (-extra_digits + exponent_x - DECIMAL_EXPONENT_BIAS_128 +
  152.           DECIMAL_EXPONENT_BIAS_32 + 35 >= 0) {
  153.         if (exponent_x ==
  154.             DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS_32 - 1) {
  155.           T128 = round_const_table_128[rmode][extra_digits];
  156.           __add_carry_out (CX1.w[0], carry, T128.w[0], CX.w[0]);
  157.           CX1.w[1] = CX.w[1] + T128.w[1] + carry;
  158.           if (__unsigned_compare_ge_128
  159.               (CX1, power10_table_128[extra_digits + 7]))
  160.             uf_check = 0;
  161.         }
  162.         extra_digits =
  163.           extra_digits + DECIMAL_EXPONENT_BIAS_128 -
  164.           DECIMAL_EXPONENT_BIAS_32 - exponent_x;
  165.         exponent_x =
  166.           DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS_32;
  167.       } else
  168.         rmode = ROUNDING_TO_ZERO;
  169.     }
  170.  
  171.     T128 = round_const_table_128[rmode][extra_digits];
  172.     __add_carry_out (CX.w[0], carry, T128.w[0], CX.w[0]);
  173.     CX.w[1] = CX.w[1] + T128.w[1] + carry;
  174.  
  175.     TP128 = reciprocals10_128[extra_digits];
  176.     __mul_128x128_full (Qh, Ql, CX, TP128);
  177.     amount = recip_scale[extra_digits];
  178.  
  179.     if (amount >= 64) {
  180.       CX.w[0] = Qh.w[1] >> (amount - 64);
  181.       CX.w[1] = 0;
  182.     } else {
  183.       __shr_128 (CX, Qh, amount);
  184.     }
  185.  
  186. #ifndef IEEE_ROUND_NEAREST_TIES_AWAY
  187. #ifndef IEEE_ROUND_NEAREST
  188.     if (!(rnd_mode))
  189. #endif
  190.       if (CX.w[0] & 1) {
  191.         // check whether fractional part of initial_P/10^ed1 is exactly .5
  192.  
  193.         // get remainder
  194.         __shl_128_long (Qh1, Qh, (128 - amount));
  195.  
  196.         if (!Qh1.w[1] && !Qh1.w[0]
  197.             && (Ql.w[1] < reciprocals10_128[extra_digits].w[1]
  198.                 || (Ql.w[1] == reciprocals10_128[extra_digits].w[1]
  199.                     && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) {
  200.           CX.w[0]--;
  201.         }
  202.       }
  203. #endif
  204.  
  205.  
  206.     {
  207.       status = INEXACT_EXCEPTION;
  208.       // get remainder
  209.       __shl_128_long (Qh1, Qh, (128 - amount));
  210.  
  211.       switch (rmode) {
  212.       case ROUNDING_TO_NEAREST:
  213.       case ROUNDING_TIES_AWAY:
  214.         // test whether fractional part is 0
  215.         if (Qh1.w[1] == 0x8000000000000000ull && (!Qh1.w[0])
  216.             && (Ql.w[1] < reciprocals10_128[extra_digits].w[1]
  217.                 || (Ql.w[1] == reciprocals10_128[extra_digits].w[1]
  218.                     && Ql.w[0] < reciprocals10_128[extra_digits].w[0])))
  219.           status = EXACT_STATUS;
  220.         break;
  221.       case ROUNDING_DOWN:
  222.       case ROUNDING_TO_ZERO:
  223.         if ((!Qh1.w[1]) && (!Qh1.w[0])
  224.             && (Ql.w[1] < reciprocals10_128[extra_digits].w[1]
  225.                 || (Ql.w[1] == reciprocals10_128[extra_digits].w[1]
  226.                     && Ql.w[0] < reciprocals10_128[extra_digits].w[0])))
  227.           status = EXACT_STATUS;
  228.         break;
  229.       default:
  230.         // round up
  231.         __add_carry_out (Stemp.w[0], cy, Ql.w[0],
  232.                          reciprocals10_128[extra_digits].w[0]);
  233.         __add_carry_in_out (Stemp.w[1], carry, Ql.w[1],
  234.                             reciprocals10_128[extra_digits].w[1], cy);
  235.         __shr_128_long (Qh, Qh1, (128 - amount));
  236.         Tmp.w[0] = 1;
  237.         Tmp.w[1] = 0;
  238.         __shl_128_long (Tmp1, Tmp, amount);
  239.         Qh.w[0] += carry;
  240.         if (Qh.w[0] < carry)
  241.           Qh.w[1]++;
  242.         if (__unsigned_compare_ge_128 (Qh, Tmp1))
  243.           status = EXACT_STATUS;
  244.       }
  245.  
  246.       if (status != EXACT_STATUS) {
  247.         if (uf_check) {
  248.           status |= UNDERFLOW_EXCEPTION;
  249.         }
  250. #ifdef SET_STATUS_FLAGS
  251.         __set_status_flags (pfpsf, status);
  252. #endif
  253.       }
  254.     }
  255.  
  256.   }
  257.  
  258.   res =
  259.     get_BID32 ((UINT32) (sign_x >> 32),
  260.                exponent_x - DECIMAL_EXPONENT_BIAS_128 +
  261.                DECIMAL_EXPONENT_BIAS_32, CX.w[0], rnd_mode, pfpsf);
  262.   BID_RETURN_VAL (res);
  263.  
  264. }
  265.