github.com/igggame/nebulas-go@v2.1.0+incompatible/nbre/3rd_party/SoftFloat-3e/source/f128_roundToInt.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, 2017 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  float128_t
    45   f128_roundToInt( float128_t a, uint_fast8_t roundingMode, bool exact )
    46  {
    47      union ui128_f128 uA;
    48      uint_fast64_t uiA64, uiA0;
    49      int_fast32_t exp;
    50      struct uint128 uiZ;
    51      uint_fast64_t lastBitMask0, roundBitsMask;
    52      bool roundNearEven;
    53      uint_fast64_t lastBitMask64;
    54      union ui128_f128 uZ;
    55  
    56      /*------------------------------------------------------------------------
    57      *------------------------------------------------------------------------*/
    58      uA.f = a;
    59      uiA64 = uA.ui.v64;
    60      uiA0  = uA.ui.v0;
    61      exp = expF128UI64( uiA64 );
    62      /*------------------------------------------------------------------------
    63      *------------------------------------------------------------------------*/
    64      if ( 0x402F <= exp ) {
    65          /*--------------------------------------------------------------------
    66          *--------------------------------------------------------------------*/
    67          if ( 0x406F <= exp ) {
    68              if ( (exp == 0x7FFF) && (fracF128UI64( uiA64 ) | uiA0) ) {
    69                  uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, 0, 0 );
    70                  goto uiZ;
    71              }
    72              return a;
    73          }
    74          /*--------------------------------------------------------------------
    75          *--------------------------------------------------------------------*/
    76          lastBitMask0 = (uint_fast64_t) 2<<(0x406E - exp);
    77          roundBitsMask = lastBitMask0 - 1;
    78          uiZ.v64 = uiA64;
    79          uiZ.v0  = uiA0;
    80          roundNearEven = (roundingMode == softfloat_round_near_even);
    81          if ( roundNearEven || (roundingMode == softfloat_round_near_maxMag) ) {
    82              if ( exp == 0x402F ) {
    83                  if ( UINT64_C( 0x8000000000000000 ) <= uiZ.v0 ) {
    84                      ++uiZ.v64;
    85                      if (
    86                          roundNearEven
    87                              && (uiZ.v0 == UINT64_C( 0x8000000000000000 ))
    88                      ) {
    89                          uiZ.v64 &= ~1;
    90                      }
    91                  }
    92              } else {
    93                  uiZ = softfloat_add128( uiZ.v64, uiZ.v0, 0, lastBitMask0>>1 );
    94                  if ( roundNearEven && !(uiZ.v0 & roundBitsMask) ) {
    95                      uiZ.v0 &= ~lastBitMask0;
    96                  }
    97              }
    98          } else if (
    99              roundingMode
   100                  == (signF128UI64( uiZ.v64 ) ? softfloat_round_min
   101                          : softfloat_round_max)
   102          ) {
   103              uiZ = softfloat_add128( uiZ.v64, uiZ.v0, 0, roundBitsMask );
   104          }
   105          uiZ.v0 &= ~roundBitsMask;
   106          lastBitMask64 = !lastBitMask0;
   107      } else {
   108          /*--------------------------------------------------------------------
   109          *--------------------------------------------------------------------*/
   110          if ( exp < 0x3FFF ) {
   111              if ( !((uiA64 & UINT64_C( 0x7FFFFFFFFFFFFFFF )) | uiA0) ) return a;
   112              if ( exact ) softfloat_exceptionFlags |= softfloat_flag_inexact;
   113              uiZ.v64 = uiA64 & packToF128UI64( 1, 0, 0 );
   114              uiZ.v0  = 0;
   115              switch ( roundingMode ) {
   116               case softfloat_round_near_even:
   117                  if ( !(fracF128UI64( uiA64 ) | uiA0) ) break;
   118               case softfloat_round_near_maxMag:
   119                  if ( exp == 0x3FFE ) uiZ.v64 |= packToF128UI64( 0, 0x3FFF, 0 );
   120                  break;
   121               case softfloat_round_min:
   122                  if ( uiZ.v64 ) uiZ.v64 = packToF128UI64( 1, 0x3FFF, 0 );
   123                  break;
   124               case softfloat_round_max:
   125                  if ( !uiZ.v64 ) uiZ.v64 = packToF128UI64( 0, 0x3FFF, 0 );
   126                  break;
   127  #ifdef SOFTFLOAT_ROUND_ODD
   128               case softfloat_round_odd:
   129                  uiZ.v64 |= packToF128UI64( 0, 0x3FFF, 0 );
   130                  break;
   131  #endif
   132              }
   133              goto uiZ;
   134          }
   135          /*--------------------------------------------------------------------
   136          *--------------------------------------------------------------------*/
   137          uiZ.v64 = uiA64;
   138          uiZ.v0  = 0;
   139          lastBitMask64 = (uint_fast64_t) 1<<(0x402F - exp);
   140          roundBitsMask = lastBitMask64 - 1;
   141          if ( roundingMode == softfloat_round_near_maxMag ) {
   142              uiZ.v64 += lastBitMask64>>1;
   143          } else if ( roundingMode == softfloat_round_near_even ) {
   144              uiZ.v64 += lastBitMask64>>1;
   145              if ( !((uiZ.v64 & roundBitsMask) | uiA0) ) {
   146                  uiZ.v64 &= ~lastBitMask64;
   147              }
   148          } else if (
   149              roundingMode
   150                  == (signF128UI64( uiZ.v64 ) ? softfloat_round_min
   151                          : softfloat_round_max)
   152          ) {
   153              uiZ.v64 = (uiZ.v64 | (uiA0 != 0)) + roundBitsMask;
   154          }
   155          uiZ.v64 &= ~roundBitsMask;
   156          lastBitMask0 = 0;
   157      }
   158      if ( (uiZ.v64 != uiA64) || (uiZ.v0 != uiA0) ) {
   159  #ifdef SOFTFLOAT_ROUND_ODD
   160          if ( roundingMode == softfloat_round_odd ) {
   161              uiZ.v64 |= lastBitMask64;
   162              uiZ.v0  |= lastBitMask0;
   163          }
   164  #endif
   165          if ( exact ) softfloat_exceptionFlags |= softfloat_flag_inexact;
   166      }
   167   uiZ:
   168      uZ.ui = uiZ;
   169      return uZ.f;
   170  
   171  }
   172