github.com/igggame/nebulas-go@v2.1.0+incompatible/nbre/3rd_party/SoftFloat-3e/source/s_subMagsF16.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, 2015, 2016, 2017 The Regents of the
     8  University of California.  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  float16_t softfloat_subMagsF16( uint_fast16_t uiA, uint_fast16_t uiB )
    45  {
    46      int_fast8_t expA;
    47      uint_fast16_t sigA;
    48      int_fast8_t expB;
    49      uint_fast16_t sigB;
    50      int_fast8_t expDiff;
    51      uint_fast16_t uiZ;
    52      int_fast16_t sigDiff;
    53      bool signZ;
    54      int_fast8_t shiftDist, expZ;
    55      uint_fast16_t sigZ, sigX, sigY;
    56      uint_fast32_t sig32Z;
    57      int_fast8_t roundingMode;
    58      union ui16_f16 uZ;
    59  
    60      /*------------------------------------------------------------------------
    61      *------------------------------------------------------------------------*/
    62      expA = expF16UI( uiA );
    63      sigA = fracF16UI( uiA );
    64      expB = expF16UI( uiB );
    65      sigB = fracF16UI( uiB );
    66      /*------------------------------------------------------------------------
    67      *------------------------------------------------------------------------*/
    68      expDiff = expA - expB;
    69      if ( ! expDiff ) {
    70          /*--------------------------------------------------------------------
    71          *--------------------------------------------------------------------*/
    72          if ( expA == 0x1F ) {
    73              if ( sigA | sigB ) goto propagateNaN;
    74              softfloat_raiseFlags( softfloat_flag_invalid );
    75              uiZ = defaultNaNF16UI;
    76              goto uiZ;
    77          }
    78          sigDiff = sigA - sigB;
    79          if ( ! sigDiff ) {
    80              uiZ =
    81                  packToF16UI(
    82                      (softfloat_roundingMode == softfloat_round_min), 0, 0 );
    83              goto uiZ;
    84          }
    85          if ( expA ) --expA;
    86          signZ = signF16UI( uiA );
    87          if ( sigDiff < 0 ) {
    88              signZ = ! signZ;
    89              sigDiff = -sigDiff;
    90          }
    91          shiftDist = softfloat_countLeadingZeros16( sigDiff ) - 5;
    92          expZ = expA - shiftDist;
    93          if ( expZ < 0 ) {
    94              shiftDist = expA;
    95              expZ = 0;
    96          }
    97          sigZ = sigDiff<<shiftDist;
    98          goto pack;
    99      } else {
   100          /*--------------------------------------------------------------------
   101          *--------------------------------------------------------------------*/
   102          signZ = signF16UI( uiA );
   103          if ( expDiff < 0 ) {
   104              /*----------------------------------------------------------------
   105              *----------------------------------------------------------------*/
   106              signZ = ! signZ;
   107              if ( expB == 0x1F ) {
   108                  if ( sigB ) goto propagateNaN;
   109                  uiZ = packToF16UI( signZ, 0x1F, 0 );
   110                  goto uiZ;
   111              }
   112              if ( expDiff <= -13 ) {
   113                  uiZ = packToF16UI( signZ, expB, sigB );
   114                  if ( expA | sigA ) goto subEpsilon;
   115                  goto uiZ;
   116              }
   117              expZ = expA + 19;
   118              sigX = sigB | 0x0400;
   119              sigY = sigA + (expA ? 0x0400 : sigA);
   120              expDiff = -expDiff;
   121          } else {
   122              /*----------------------------------------------------------------
   123              *----------------------------------------------------------------*/
   124              uiZ = uiA;
   125              if ( expA == 0x1F ) {
   126                  if ( sigA ) goto propagateNaN;
   127                  goto uiZ;
   128              }
   129              if ( 13 <= expDiff ) {
   130                  if ( expB | sigB ) goto subEpsilon;
   131                  goto uiZ;
   132              }
   133              expZ = expB + 19;
   134              sigX = sigA | 0x0400;
   135              sigY = sigB + (expB ? 0x0400 : sigB);
   136          }
   137          sig32Z = ((uint_fast32_t) sigX<<expDiff) - sigY;
   138          shiftDist = softfloat_countLeadingZeros32( sig32Z ) - 1;
   139          sig32Z <<= shiftDist;
   140          expZ -= shiftDist;
   141          sigZ = sig32Z>>16;
   142          if ( sig32Z & 0xFFFF ) {
   143              sigZ |= 1;
   144          } else {
   145              if ( ! (sigZ & 0xF) && ((unsigned int) expZ < 0x1E) ) {
   146                  sigZ >>= 4;
   147                  goto pack;
   148              }
   149          }
   150          return softfloat_roundPackToF16( signZ, expZ, sigZ );
   151      }
   152      /*------------------------------------------------------------------------
   153      *------------------------------------------------------------------------*/
   154   propagateNaN:
   155      uiZ = softfloat_propagateNaNF16UI( uiA, uiB );
   156      goto uiZ;
   157      /*------------------------------------------------------------------------
   158      *------------------------------------------------------------------------*/
   159   subEpsilon:
   160      roundingMode = softfloat_roundingMode;
   161      if ( roundingMode != softfloat_round_near_even ) {
   162          if (
   163              (roundingMode == softfloat_round_minMag)
   164                  || (roundingMode
   165                          == (signF16UI( uiZ ) ? softfloat_round_max
   166                                  : softfloat_round_min))
   167          ) {
   168              --uiZ;
   169          }
   170  #ifdef SOFTFLOAT_ROUND_ODD
   171          else if ( roundingMode == softfloat_round_odd ) {
   172              uiZ = (uiZ - 1) | 1;
   173          }
   174  #endif
   175      }
   176      softfloat_exceptionFlags |= softfloat_flag_inexact;
   177      goto uiZ;
   178      /*------------------------------------------------------------------------
   179      *------------------------------------------------------------------------*/
   180   pack:
   181      uiZ = packToF16UI( signZ, expZ, sigZ );
   182   uiZ:
   183      uZ.ui = uiZ;
   184      return uZ.f;
   185  
   186  }
   187