github.com/igggame/nebulas-go@v2.1.0+incompatible/nbre/3rd_party/SoftFloat-3e/source/s_mulAddF32.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 The Regents of the University of
     8  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  float32_t
    45   softfloat_mulAddF32(
    46       uint_fast32_t uiA, uint_fast32_t uiB, uint_fast32_t uiC, uint_fast8_t op )
    47  {
    48      bool signA;
    49      int_fast16_t expA;
    50      uint_fast32_t sigA;
    51      bool signB;
    52      int_fast16_t expB;
    53      uint_fast32_t sigB;
    54      bool signC;
    55      int_fast16_t expC;
    56      uint_fast32_t sigC;
    57      bool signProd;
    58      uint_fast32_t magBits, uiZ;
    59      struct exp16_sig32 normExpSig;
    60      int_fast16_t expProd;
    61      uint_fast64_t sigProd;
    62      bool signZ;
    63      int_fast16_t expZ;
    64      uint_fast32_t sigZ;
    65      int_fast16_t expDiff;
    66      uint_fast64_t sig64Z, sig64C;
    67      int_fast8_t shiftDist;
    68      union ui32_f32 uZ;
    69  
    70      /*------------------------------------------------------------------------
    71      *------------------------------------------------------------------------*/
    72      signA = signF32UI( uiA );
    73      expA  = expF32UI( uiA );
    74      sigA  = fracF32UI( uiA );
    75      signB = signF32UI( uiB );
    76      expB  = expF32UI( uiB );
    77      sigB  = fracF32UI( uiB );
    78      signC = signF32UI( uiC ) ^ (op == softfloat_mulAdd_subC);
    79      expC  = expF32UI( uiC );
    80      sigC  = fracF32UI( uiC );
    81      signProd = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
    82      /*------------------------------------------------------------------------
    83      *------------------------------------------------------------------------*/
    84      if ( expA == 0xFF ) {
    85          if ( sigA || ((expB == 0xFF) && sigB) ) goto propagateNaN_ABC;
    86          magBits = expB | sigB;
    87          goto infProdArg;
    88      }
    89      if ( expB == 0xFF ) {
    90          if ( sigB ) goto propagateNaN_ABC;
    91          magBits = expA | sigA;
    92          goto infProdArg;
    93      }
    94      if ( expC == 0xFF ) {
    95          if ( sigC ) {
    96              uiZ = 0;
    97              goto propagateNaN_ZC;
    98          }
    99          uiZ = uiC;
   100          goto uiZ;
   101      }
   102      /*------------------------------------------------------------------------
   103      *------------------------------------------------------------------------*/
   104      if ( ! expA ) {
   105          if ( ! sigA ) goto zeroProd;
   106          normExpSig = softfloat_normSubnormalF32Sig( sigA );
   107          expA = normExpSig.exp;
   108          sigA = normExpSig.sig;
   109      }
   110      if ( ! expB ) {
   111          if ( ! sigB ) goto zeroProd;
   112          normExpSig = softfloat_normSubnormalF32Sig( sigB );
   113          expB = normExpSig.exp;
   114          sigB = normExpSig.sig;
   115      }
   116      /*------------------------------------------------------------------------
   117      *------------------------------------------------------------------------*/
   118      expProd = expA + expB - 0x7E;
   119      sigA = (sigA | 0x00800000)<<7;
   120      sigB = (sigB | 0x00800000)<<7;
   121      sigProd = (uint_fast64_t) sigA * sigB;
   122      if ( sigProd < UINT64_C( 0x2000000000000000 ) ) {
   123          --expProd;
   124          sigProd <<= 1;
   125      }
   126      signZ = signProd;
   127      if ( ! expC ) {
   128          if ( ! sigC ) {
   129              expZ = expProd - 1;
   130              sigZ = softfloat_shortShiftRightJam64( sigProd, 31 );
   131              goto roundPack;
   132          }
   133          normExpSig = softfloat_normSubnormalF32Sig( sigC );
   134          expC = normExpSig.exp;
   135          sigC = normExpSig.sig;
   136      }
   137      sigC = (sigC | 0x00800000)<<6;
   138      /*------------------------------------------------------------------------
   139      *------------------------------------------------------------------------*/
   140      expDiff = expProd - expC;
   141      if ( signProd == signC ) {
   142          /*--------------------------------------------------------------------
   143          *--------------------------------------------------------------------*/
   144          if ( expDiff <= 0 ) {
   145              expZ = expC;
   146              sigZ = sigC + softfloat_shiftRightJam64( sigProd, 32 - expDiff );
   147          } else {
   148              expZ = expProd;
   149              sig64Z =
   150                  sigProd
   151                      + softfloat_shiftRightJam64(
   152                            (uint_fast64_t) sigC<<32, expDiff );
   153              sigZ = softfloat_shortShiftRightJam64( sig64Z, 32 );
   154          }
   155          if ( sigZ < 0x40000000 ) {
   156              --expZ;
   157              sigZ <<= 1;
   158          }
   159      } else {
   160          /*--------------------------------------------------------------------
   161          *--------------------------------------------------------------------*/
   162          sig64C = (uint_fast64_t) sigC<<32;
   163          if ( expDiff < 0 ) {
   164              signZ = signC;
   165              expZ = expC;
   166              sig64Z = sig64C - softfloat_shiftRightJam64( sigProd, -expDiff );
   167          } else if ( ! expDiff ) {
   168              expZ = expProd;
   169              sig64Z = sigProd - sig64C;
   170              if ( ! sig64Z ) goto completeCancellation;
   171              if ( sig64Z & UINT64_C( 0x8000000000000000 ) ) {
   172                  signZ = ! signZ;
   173                  sig64Z = -sig64Z;
   174              }
   175          } else {
   176              expZ = expProd;
   177              sig64Z = sigProd - softfloat_shiftRightJam64( sig64C, expDiff );
   178          }
   179          shiftDist = softfloat_countLeadingZeros64( sig64Z ) - 1;
   180          expZ -= shiftDist;
   181          shiftDist -= 32;
   182          if ( shiftDist < 0 ) {
   183              sigZ = softfloat_shortShiftRightJam64( sig64Z, -shiftDist );
   184          } else {
   185              sigZ = (uint_fast32_t) sig64Z<<shiftDist;
   186          }
   187      }
   188   roundPack:
   189      return softfloat_roundPackToF32( signZ, expZ, sigZ );
   190      /*------------------------------------------------------------------------
   191      *------------------------------------------------------------------------*/
   192   propagateNaN_ABC:
   193      uiZ = softfloat_propagateNaNF32UI( uiA, uiB );
   194      goto propagateNaN_ZC;
   195      /*------------------------------------------------------------------------
   196      *------------------------------------------------------------------------*/
   197   infProdArg:
   198      if ( magBits ) {
   199          uiZ = packToF32UI( signProd, 0xFF, 0 );
   200          if ( expC != 0xFF ) goto uiZ;
   201          if ( sigC ) goto propagateNaN_ZC;
   202          if ( signProd == signC ) goto uiZ;
   203      }
   204      softfloat_raiseFlags( softfloat_flag_invalid );
   205      uiZ = defaultNaNF32UI;
   206   propagateNaN_ZC:
   207      uiZ = softfloat_propagateNaNF32UI( uiZ, uiC );
   208      goto uiZ;
   209      /*------------------------------------------------------------------------
   210      *------------------------------------------------------------------------*/
   211   zeroProd:
   212      uiZ = uiC;
   213      if ( ! (expC | sigC) && (signProd != signC) ) {
   214   completeCancellation:
   215          uiZ =
   216              packToF32UI(
   217                  (softfloat_roundingMode == softfloat_round_min), 0, 0 );
   218      }
   219   uiZ:
   220      uZ.ui = uiZ;
   221      return uZ.f;
   222  
   223  }
   224