Numworks Epsilon  1.4.1
Graphing Calculator Operating System
s_subMagsF64.c
Go to the documentation of this file.
1 
2 /*============================================================================
3 
4 This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
5 Package, Release 3c, 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 
46 {
47  int_fast16_t expA;
48  uint_fast64_t sigA;
49  int_fast16_t expB;
50  uint_fast64_t sigB;
51  int_fast16_t expDiff;
52  uint_fast64_t uiZ;
53  int_fast64_t sigDiff;
54  int_fast8_t shiftDist;
55  int_fast16_t expZ;
56  uint_fast64_t sigZ;
57  union ui64_f64 uZ;
58 
59  /*------------------------------------------------------------------------
60  *------------------------------------------------------------------------*/
61  expA = expF64UI( uiA );
62  sigA = fracF64UI( uiA );
63  expB = expF64UI( uiB );
64  sigB = fracF64UI( uiB );
65  /*------------------------------------------------------------------------
66  *------------------------------------------------------------------------*/
67  expDiff = expA - expB;
68  if ( ! expDiff ) {
69  /*--------------------------------------------------------------------
70  *--------------------------------------------------------------------*/
71  if ( expA == 0x7FF ) {
72  if ( sigA | sigB ) goto propagateNaN;
74  uiZ = defaultNaNF64UI;
75  goto uiZ;
76  }
77  sigDiff = sigA - sigB;
78  if ( ! sigDiff ) {
79  uiZ =
82  goto uiZ;
83  }
84  if ( expA ) --expA;
85  if ( sigDiff < 0 ) {
86  signZ = ! signZ;
87  sigDiff = -sigDiff;
88  }
89  shiftDist = softfloat_countLeadingZeros64( sigDiff ) - 11;
90  expZ = expA - shiftDist;
91  if ( expZ < 0 ) {
92  shiftDist = expA;
93  expZ = 0;
94  }
95  uiZ = packToF64UI( signZ, expZ, sigDiff<<shiftDist );
96  goto uiZ;
97  } else {
98  /*--------------------------------------------------------------------
99  *--------------------------------------------------------------------*/
100  sigA <<= 10;
101  sigB <<= 10;
102  if ( expDiff < 0 ) {
103  /*----------------------------------------------------------------
104  *----------------------------------------------------------------*/
105  signZ = ! signZ;
106  if ( expB == 0x7FF ) {
107  if ( sigB ) goto propagateNaN;
108  uiZ = packToF64UI( signZ, 0x7FF, 0 );
109  goto uiZ;
110  }
111  sigA += expA ? UINT64_C( 0x4000000000000000 ) : sigA;
112  sigA = softfloat_shiftRightJam64( sigA, -expDiff );
113  sigB |= UINT64_C( 0x4000000000000000 );
114  expZ = expB;
115  sigZ = sigB - sigA;
116  } else {
117  /*----------------------------------------------------------------
118  *----------------------------------------------------------------*/
119  if ( expA == 0x7FF ) {
120  if ( sigA ) goto propagateNaN;
121  uiZ = uiA;
122  goto uiZ;
123  }
124  sigB += expB ? UINT64_C( 0x4000000000000000 ) : sigB;
125  sigB = softfloat_shiftRightJam64( sigB, expDiff );
126  sigA |= UINT64_C( 0x4000000000000000 );
127  expZ = expA;
128  sigZ = sigA - sigB;
129  }
130  return softfloat_normRoundPackToF64( signZ, expZ - 1, sigZ );
131  }
132  /*------------------------------------------------------------------------
133  *------------------------------------------------------------------------*/
134  propagateNaN:
135  uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
136  uiZ:
137  uZ.ui = uiZ;
138  return uZ.f;
139 
140 }
141 
int64_t int_fast64_t
Definition: stdint.h:25
int32_t int_fast8_t
Definition: stdint.h:22
uint64_t softfloat_shiftRightJam64(uint64_t a, uint_fast32_t dist)
#define defaultNaNF64UI
Definition: specialize.h:157
float64_t softfloat_subMagsF64(uint_fast64_t uiA, uint_fast64_t uiB, bool signZ)
Definition: s_subMagsF64.c:45
void softfloat_raiseFlags(uint_fast8_t)
#define softfloat_countLeadingZeros64
THREAD_LOCAL uint_fast8_t softfloat_roundingMode
uint64_t ui
Definition: internals.h:47
float64_t f
Definition: internals.h:47
#define fracF64UI(a)
Definition: internals.h:127
float64_t softfloat_normRoundPackToF64(bool, int_fast16_t, uint_fast64_t)
#define expF64UI(a)
Definition: internals.h:126
#define packToF64UI(sign, exp, sig)
Definition: internals.h:128
#define UINT64_C(c)
Definition: stdint.h:29
uint64_t uint_fast64_t
Definition: stdint.h:20
uint_fast64_t softfloat_propagateNaNF64UI(uint_fast64_t uiA, uint_fast64_t uiB)
int32_t int_fast16_t
Definition: stdint.h:23