github.com/igggame/nebulas-go@v2.1.0+incompatible/nbre/3rd_party/SoftFloat-3e/source/extF80M_rem.c (about)

     1  
     2  /*============================================================================
     3  
     4  This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
     5  Package, Release 3e, by John R. Hauser.
     6  
     7  Copyright 2011, 2012, 2013, 2014 The Regents of the University of California.
     8  All rights reserved.
     9  
    10  Redistribution and use in source and binary forms, with or without
    11  modification, are permitted provided that the following conditions are met:
    12  
    13   1. Redistributions of source code must retain the above copyright notice,
    14      this list of conditions, and the following disclaimer.
    15  
    16   2. Redistributions in binary form must reproduce the above copyright notice,
    17      this list of conditions, and the following disclaimer in the documentation
    18      and/or other materials provided with the distribution.
    19  
    20   3. Neither the name of the University nor the names of its contributors may
    21      be used to endorse or promote products derived from this software without
    22      specific prior written permission.
    23  
    24  THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
    25  EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
    26  WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
    27  DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
    28  DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
    29  (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
    30  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
    31  ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
    32  (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
    33  SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
    34  
    35  =============================================================================*/
    36  
    37  #include <stdbool.h>
    38  #include <stdint.h>
    39  #include "platform.h"
    40  #include "internals.h"
    41  #include "specialize.h"
    42  #include "softfloat.h"
    43  
    44  #ifdef SOFTFLOAT_FAST_INT64
    45  
    46  void
    47   extF80M_rem(
    48       const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr )
    49  {
    50  
    51      *zPtr = extF80_rem( *aPtr, *bPtr );
    52  
    53  }
    54  
    55  #else
    56  
    57  void
    58   extF80M_rem(
    59       const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr )
    60  {
    61      const struct extFloat80M *aSPtr, *bSPtr;
    62      struct extFloat80M *zSPtr;
    63      uint_fast16_t uiA64;
    64      int32_t expA, expB;
    65      uint64_t x64;
    66      bool signRem;
    67      uint64_t sigA;
    68      int32_t expDiff;
    69      uint32_t rem[3], x[3], sig32B, q, recip32, rem2[3], *remPtr, *altRemPtr;
    70      uint32_t *newRemPtr, wordMeanRem;
    71  
    72      /*------------------------------------------------------------------------
    73      *------------------------------------------------------------------------*/
    74      aSPtr = (const struct extFloat80M *) aPtr;
    75      bSPtr = (const struct extFloat80M *) bPtr;
    76      zSPtr = (struct extFloat80M *) zPtr;
    77      /*------------------------------------------------------------------------
    78      *------------------------------------------------------------------------*/
    79      uiA64 = aSPtr->signExp;
    80      expA = expExtF80UI64( uiA64 );
    81      expB = expExtF80UI64( bSPtr->signExp );
    82      /*------------------------------------------------------------------------
    83      *------------------------------------------------------------------------*/
    84      if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
    85          if ( softfloat_tryPropagateNaNExtF80M( aSPtr, bSPtr, zSPtr ) ) return;
    86          if ( expA == 0x7FFF ) goto invalid;
    87          /*--------------------------------------------------------------------
    88          | If we get here, then argument b is an infinity and `expB' is 0x7FFF;
    89          | Doubling `expB' is an easy way to ensure that `expDiff' later is
    90          | less than -1, which will result in returning a canonicalized version
    91          | of argument a.
    92          *--------------------------------------------------------------------*/
    93          expB += expB;
    94      }
    95      /*------------------------------------------------------------------------
    96      *------------------------------------------------------------------------*/
    97      if ( ! expB ) expB = 1;
    98      x64 = bSPtr->signif;
    99      if ( ! (x64 & UINT64_C( 0x8000000000000000 )) ) {
   100          if ( ! x64 ) goto invalid;
   101          expB += softfloat_normExtF80SigM( &x64 );
   102      }
   103      signRem = signExtF80UI64( uiA64 );
   104      if ( ! expA ) expA = 1;
   105      sigA = aSPtr->signif;
   106      if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) {
   107          if ( ! sigA ) {
   108              expA = 0;
   109              goto copyA;
   110          }
   111          expA += softfloat_normExtF80SigM( &sigA );
   112      }
   113      /*------------------------------------------------------------------------
   114      *------------------------------------------------------------------------*/
   115      expDiff = expA - expB;
   116      if ( expDiff < -1 ) goto copyA;
   117      rem[indexWord( 3, 2 )] = sigA>>34;
   118      rem[indexWord( 3, 1 )] = sigA>>2;
   119      rem[indexWord( 3, 0 )] = (uint32_t) sigA<<30;
   120      x[indexWord( 3, 0 )] = (uint32_t) x64<<30;
   121      sig32B = x64>>32;
   122      x64 >>= 2;
   123      x[indexWord( 3, 2 )] = x64>>32;
   124      x[indexWord( 3, 1 )] = x64;
   125      if ( expDiff < 1 ) {
   126          if ( expDiff ) {
   127              --expB;
   128              softfloat_add96M( x, x, x );
   129              q = 0;
   130          } else {
   131              q = (softfloat_compare96M( x, rem ) <= 0);
   132              if ( q ) softfloat_sub96M( rem, x, rem );
   133          }
   134      } else {
   135          recip32 = softfloat_approxRecip32_1( sig32B );
   136          expDiff -= 30;
   137          for (;;) {
   138              x64 = (uint64_t) rem[indexWordHi( 3 )] * recip32;
   139              if ( expDiff < 0 ) break;
   140              q = (x64 + 0x80000000)>>32;
   141              softfloat_remStep96MBy32( rem, 29, x, q, rem );
   142              if ( rem[indexWordHi( 3 )] & 0x80000000 ) {
   143                  softfloat_add96M( rem, x, rem );
   144              }
   145              expDiff -= 29;
   146          }
   147          /*--------------------------------------------------------------------
   148          | (`expDiff' cannot be less than -29 here.)
   149          *--------------------------------------------------------------------*/
   150          q = (uint32_t) (x64>>32)>>(~expDiff & 31);
   151          softfloat_remStep96MBy32( rem, expDiff + 30, x, q, rem );
   152          if ( rem[indexWordHi( 3 )] & 0x80000000 ) {
   153              remPtr = rem;
   154              altRemPtr = rem2;
   155              softfloat_add96M( remPtr, x, altRemPtr );
   156              goto selectRem;
   157          }
   158      }
   159      /*------------------------------------------------------------------------
   160      *------------------------------------------------------------------------*/
   161      remPtr = rem;
   162      altRemPtr = rem2;
   163      do {
   164          ++q;
   165          newRemPtr = altRemPtr;
   166          softfloat_sub96M( remPtr, x, newRemPtr );
   167          altRemPtr = remPtr;
   168          remPtr = newRemPtr;
   169      } while ( ! (remPtr[indexWordHi( 3 )] & 0x80000000) );
   170   selectRem:
   171      softfloat_add96M( remPtr, altRemPtr, x );
   172      wordMeanRem = x[indexWordHi( 3 )];
   173      if (
   174          (wordMeanRem & 0x80000000)
   175              || (! wordMeanRem && (q & 1) && ! x[indexWord( 3, 0 )]
   176                      && ! x[indexWord( 3, 1 )])
   177      ) {
   178          remPtr = altRemPtr;
   179      }
   180      if ( remPtr[indexWordHi( 3 )] & 0x80000000 ) {
   181          signRem = ! signRem;
   182          softfloat_negX96M( remPtr );
   183      }
   184      softfloat_normRoundPackMToExtF80M( signRem, expB + 2, remPtr, 80, zSPtr );
   185      return;
   186      /*------------------------------------------------------------------------
   187      *------------------------------------------------------------------------*/
   188   invalid:
   189      softfloat_invalidExtF80M( zSPtr );
   190      return;
   191      /*------------------------------------------------------------------------
   192      *------------------------------------------------------------------------*/
   193   copyA:
   194      if ( expA < 1 ) {
   195          sigA >>= 1 - expA;
   196          expA = 0;
   197      }
   198      zSPtr->signExp = packToExtF80UI64( signRem, expA );
   199      zSPtr->signif = sigA;
   200  
   201  }
   202  
   203  #endif
   204