github.com/igggame/nebulas-go@v2.1.0+incompatible/nbre/3rd_party/SoftFloat-3e/source/f16_div.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  extern const uint16_t softfloat_approxRecip_1k0s[];
    45  extern const uint16_t softfloat_approxRecip_1k1s[];
    46  
    47  float16_t f16_div( float16_t a, float16_t b )
    48  {
    49      union ui16_f16 uA;
    50      uint_fast16_t uiA;
    51      bool signA;
    52      int_fast8_t expA;
    53      uint_fast16_t sigA;
    54      union ui16_f16 uB;
    55      uint_fast16_t uiB;
    56      bool signB;
    57      int_fast8_t expB;
    58      uint_fast16_t sigB;
    59      bool signZ;
    60      struct exp8_sig16 normExpSig;
    61      int_fast8_t expZ;
    62  #ifdef SOFTFLOAT_FAST_DIV32TO16
    63      uint_fast32_t sig32A;
    64      uint_fast16_t sigZ;
    65  #else
    66      int index;
    67      uint16_t r0;
    68      uint_fast16_t sigZ, rem;
    69  #endif
    70      uint_fast16_t uiZ;
    71      union ui16_f16 uZ;
    72  
    73      /*------------------------------------------------------------------------
    74      *------------------------------------------------------------------------*/
    75      uA.f = a;
    76      uiA = uA.ui;
    77      signA = signF16UI( uiA );
    78      expA  = expF16UI( uiA );
    79      sigA  = fracF16UI( uiA );
    80      uB.f = b;
    81      uiB = uB.ui;
    82      signB = signF16UI( uiB );
    83      expB  = expF16UI( uiB );
    84      sigB  = fracF16UI( uiB );
    85      signZ = signA ^ signB;
    86      /*------------------------------------------------------------------------
    87      *------------------------------------------------------------------------*/
    88      if ( expA == 0x1F ) {
    89          if ( sigA ) goto propagateNaN;
    90          if ( expB == 0x1F ) {
    91              if ( sigB ) goto propagateNaN;
    92              goto invalid;
    93          }
    94          goto infinity;
    95      }
    96      if ( expB == 0x1F ) {
    97          if ( sigB ) goto propagateNaN;
    98          goto zero;
    99      }
   100      /*------------------------------------------------------------------------
   101      *------------------------------------------------------------------------*/
   102      if ( ! expB ) {
   103          if ( ! sigB ) {
   104              if ( ! (expA | sigA) ) goto invalid;
   105              softfloat_raiseFlags( softfloat_flag_infinite );
   106              goto infinity;
   107          }
   108          normExpSig = softfloat_normSubnormalF16Sig( sigB );
   109          expB = normExpSig.exp;
   110          sigB = normExpSig.sig;
   111      }
   112      if ( ! expA ) {
   113          if ( ! sigA ) goto zero;
   114          normExpSig = softfloat_normSubnormalF16Sig( sigA );
   115          expA = normExpSig.exp;
   116          sigA = normExpSig.sig;
   117      }
   118      /*------------------------------------------------------------------------
   119      *------------------------------------------------------------------------*/
   120      expZ = expA - expB + 0xE;
   121      sigA |= 0x0400;
   122      sigB |= 0x0400;
   123  #ifdef SOFTFLOAT_FAST_DIV32TO16
   124      if ( sigA < sigB ) {
   125          --expZ;
   126          sig32A = (uint_fast32_t) sigA<<15;
   127      } else {
   128          sig32A = (uint_fast32_t) sigA<<14;
   129      }
   130      sigZ = sig32A / sigB;
   131      if ( ! (sigZ & 7) ) sigZ |= ((uint_fast32_t) sigB * sigZ != sig32A);
   132  #else
   133      if ( sigA < sigB ) {
   134          --expZ;
   135          sigA <<= 5;
   136      } else {
   137          sigA <<= 4;
   138      }
   139      index = sigB>>6 & 0xF;
   140      r0 = softfloat_approxRecip_1k0s[index]
   141               - (((uint_fast32_t) softfloat_approxRecip_1k1s[index]
   142                       * (sigB & 0x3F))
   143                      >>10);
   144      sigZ = ((uint_fast32_t) sigA * r0)>>16;
   145      rem = (sigA<<10) - sigZ * sigB;
   146      sigZ += (rem * (uint_fast32_t) r0)>>26;
   147      /*------------------------------------------------------------------------
   148      *------------------------------------------------------------------------*/
   149      ++sigZ;
   150      if ( ! (sigZ & 7) ) {
   151          sigZ &= ~1;
   152          rem = (sigA<<10) - sigZ * sigB;
   153          if ( rem & 0x8000 ) {
   154              sigZ -= 2;
   155          } else {
   156              if ( rem ) sigZ |= 1;
   157          }
   158      }
   159  #endif
   160      return softfloat_roundPackToF16( signZ, expZ, sigZ );
   161      /*------------------------------------------------------------------------
   162      *------------------------------------------------------------------------*/
   163   propagateNaN:
   164      uiZ = softfloat_propagateNaNF16UI( uiA, uiB );
   165      goto uiZ;
   166      /*------------------------------------------------------------------------
   167      *------------------------------------------------------------------------*/
   168   invalid:
   169      softfloat_raiseFlags( softfloat_flag_invalid );
   170      uiZ = defaultNaNF16UI;
   171      goto uiZ;
   172      /*------------------------------------------------------------------------
   173      *------------------------------------------------------------------------*/
   174   infinity:
   175      uiZ = packToF16UI( signZ, 0x1F, 0 );
   176      goto uiZ;
   177      /*------------------------------------------------------------------------
   178      *------------------------------------------------------------------------*/
   179   zero:
   180      uiZ = packToF16UI( signZ, 0, 0 );
   181   uiZ:
   182      uZ.ui = uiZ;
   183      return uZ.f;
   184  
   185  }
   186