github.com/igggame/nebulas-go@v2.1.0+incompatible/nbre/3rd_party/SoftFloat-3e/source/s_addMagsF16.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_addMagsF16( 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      bool signZ;
    53      int_fast8_t expZ;
    54      uint_fast16_t sigZ;
    55      uint_fast16_t sigX, sigY;
    56      int_fast8_t shiftDist;
    57      uint_fast32_t sig32Z;
    58      int_fast8_t roundingMode;
    59      union ui16_f16 uZ;
    60  
    61      /*------------------------------------------------------------------------
    62      *------------------------------------------------------------------------*/
    63      expA = expF16UI( uiA );
    64      sigA = fracF16UI( uiA );
    65      expB = expF16UI( uiB );
    66      sigB = fracF16UI( uiB );
    67      /*------------------------------------------------------------------------
    68      *------------------------------------------------------------------------*/
    69      expDiff = expA - expB;
    70      if ( ! expDiff ) {
    71          /*--------------------------------------------------------------------
    72          *--------------------------------------------------------------------*/
    73          if ( ! expA ) {
    74              uiZ = uiA + sigB;
    75              goto uiZ;
    76          }
    77          if ( expA == 0x1F ) {
    78              if ( sigA | sigB ) goto propagateNaN;
    79              uiZ = uiA;
    80              goto uiZ;
    81          }
    82          signZ = signF16UI( uiA );
    83          expZ = expA;
    84          sigZ = 0x0800 + sigA + sigB;
    85          if ( ! (sigZ & 1) && (expZ < 0x1E) ) {
    86              sigZ >>= 1;
    87              goto pack;
    88          }
    89          sigZ <<= 3;
    90      } else {
    91          /*--------------------------------------------------------------------
    92          *--------------------------------------------------------------------*/
    93          signZ = signF16UI( uiA );
    94          if ( expDiff < 0 ) {
    95              /*----------------------------------------------------------------
    96              *----------------------------------------------------------------*/
    97              if ( expB == 0x1F ) {
    98                  if ( sigB ) goto propagateNaN;
    99                  uiZ = packToF16UI( signZ, 0x1F, 0 );
   100                  goto uiZ;
   101              }
   102              if ( expDiff <= -13 ) {
   103                  uiZ = packToF16UI( signZ, expB, sigB );
   104                  if ( expA | sigA ) goto addEpsilon;
   105                  goto uiZ;
   106              }
   107              expZ = expB;
   108              sigX = sigB | 0x0400;
   109              sigY = sigA + (expA ? 0x0400 : sigA);
   110              shiftDist = 19 + expDiff;
   111          } else {
   112              /*----------------------------------------------------------------
   113              *----------------------------------------------------------------*/
   114              uiZ = uiA;
   115              if ( expA == 0x1F ) {
   116                  if ( sigA ) goto propagateNaN;
   117                  goto uiZ;
   118              }
   119              if ( 13 <= expDiff ) {
   120                  if ( expB | sigB ) goto addEpsilon;
   121                  goto uiZ;
   122              }
   123              expZ = expA;
   124              sigX = sigA | 0x0400;
   125              sigY = sigB + (expB ? 0x0400 : sigB);
   126              shiftDist = 19 - expDiff;
   127          }
   128          sig32Z =
   129              ((uint_fast32_t) sigX<<19) + ((uint_fast32_t) sigY<<shiftDist);
   130          if ( sig32Z < 0x40000000 ) {
   131              --expZ;
   132              sig32Z <<= 1;
   133          }
   134          sigZ = sig32Z>>16;
   135          if ( sig32Z & 0xFFFF ) {
   136              sigZ |= 1;
   137          } else {
   138              if ( ! (sigZ & 0xF) && (expZ < 0x1E) ) {
   139                  sigZ >>= 4;
   140                  goto pack;
   141              }
   142          }
   143      }
   144      return softfloat_roundPackToF16( signZ, expZ, sigZ );
   145      /*------------------------------------------------------------------------
   146      *------------------------------------------------------------------------*/
   147   propagateNaN:
   148      uiZ = softfloat_propagateNaNF16UI( uiA, uiB );
   149      goto uiZ;
   150      /*------------------------------------------------------------------------
   151      *------------------------------------------------------------------------*/
   152   addEpsilon:
   153      roundingMode = softfloat_roundingMode;
   154      if ( roundingMode != softfloat_round_near_even ) {
   155          if (
   156              roundingMode
   157                  == (signF16UI( uiZ ) ? softfloat_round_min
   158                          : softfloat_round_max)
   159          ) {
   160              ++uiZ;
   161              if ( (uint16_t) (uiZ<<1) == 0xF800 ) {
   162                  softfloat_raiseFlags(
   163                      softfloat_flag_overflow | softfloat_flag_inexact );
   164              }
   165          }
   166  #ifdef SOFTFLOAT_ROUND_ODD
   167          else if ( roundingMode == softfloat_round_odd ) {
   168              uiZ |= 1;
   169          }
   170  #endif
   171      }
   172      softfloat_exceptionFlags |= softfloat_flag_inexact;
   173      goto uiZ;
   174      /*------------------------------------------------------------------------
   175      *------------------------------------------------------------------------*/
   176   pack:
   177      uiZ = packToF16UI( signZ, expZ, sigZ );
   178   uiZ:
   179      uZ.ui = uiZ;
   180      return uZ.f;
   181  
   182  }
   183