1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
|
/*============================================================================
This C source file is part of the SoftPosit Posit Arithmetic Package
by S. H. Leong (Cerlane).
Copyright 2017, 2018 A*STAR. All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright notice,
this list of conditions, and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice,
this list of conditions, and the following disclaimer in the documentation
and/or other materials provided with the distribution.
3. Neither the name of the University nor the names of its contributors may
be used to endorse or promote products derived from this software without
specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
=============================================================================*/
#include <math.h>
#include "platform.h"
#include "internals.h"
double convertP16ToDouble(posit16_t a){
union ui16_p16 uZ;
//posit16 p16;
double d16;
uZ.p = a;
if (uZ.ui==0){
return 0;
}
else if(uZ.ui==0x7FFF){ //maxpos -> 32767
return 268435456;
}
else if (uZ.ui==0x8001){ //-maxpos -> 32769
return -268435456;
}
else if (uZ.ui == 0x8000){ //NaR -> 32768
return NAN;
}
bool regS, sign;
uint_fast16_t reg, shift=2, frac;
int_fast16_t k=0;
int_fast8_t exp;
double fraction_max;
sign = signP16UI( uZ.ui );
if (sign)
uZ.ui = -uZ.ui & 0xFFFF;
regS = signregP16UI( uZ.ui );
uint_fast16_t tmp = (uZ.ui<<2) & 0xFFFF;
if (regS){
while (tmp>>15){
k++;
shift++;
tmp= (tmp<<1) & 0xFFFF;
}
reg = k+1;
}
else{
k=-1;
while (!(tmp>>15)){
k--;
shift++;
tmp= (tmp<<1) & 0xFFFF;
}
tmp&=0x7FFF;
reg =-k;
}
exp = tmp>>14;
frac = (tmp & 0x3FFF) >> shift;
fraction_max = pow(2, 13-reg) ;
d16 = (double)( pow(4, k)* pow(2, exp) * (1+((double)frac/fraction_max)) );
if (sign)
d16 = -d16;
return d16;
}
#ifdef SOFTPOSIT_QUAD
__float128 convertP16ToQuadDec(posit16_t a){
union ui16_p16 uZ;
__float128 p16;
uZ.p = a;
if (uZ.ui==0){
p16 = 0;
return p16;
}
else if(uZ.ui==0x7FFF){ //maxpos -> 32767
p16 = 268435456;
return p16;
}
else if (uZ.ui==0x8001){ //-maxpos -> 32769
p16 = -268435456;
return p16;
}
else if (uZ.ui == 0x8000){ //NaR -> 32768
p16 = INFINITY;
return p16;
}
bool regS, sign;
uint_fast16_t reg, shift=2, frac;
int_fast16_t k=0;
int_fast8_t exp;
__float128 fraction_max;
sign = signP16UI( uZ.ui );
if (sign)
uZ.ui = -uZ.ui & 0xFFFF;
regS = signregP16UI( uZ.ui );
uint_fast16_t tmp = (uZ.ui<<2) & 0xFFFF;
if (regS){
while (tmp>>15){
k++;
shift++;
tmp= (tmp<<1) & 0xFFFF;
}
reg = k+1;
}
else{
k=-1;
while (!(tmp>>15)){
k--;
shift++;
tmp= (tmp<<1) & 0xFFFF;
}
tmp&=0x7FFF;
reg =-k;
}
exp = tmp>>14;
frac = (tmp & 0x3FFF) >> shift;
fraction_max = pow(2, 13-reg) ;
p16 = (__float128)( pow(4, k)* pow(2, exp) * (1+((__float128)frac/fraction_max)) );
if (sign)
p16 = -p16;
return p16;
}
#endif
|
