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
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
|
/*
===============================================================================
This C header file is part of the SoftFloat IEC/IEEE Floating-point
Arithmetic Package, Release 2.
Written by John R. Hauser. This work was made possible in part by the
International Computer Science Institute, located at Suite 600, 1947 Center
Street, Berkeley, California 94704. Funding was partially provided by the
National Science Foundation under grant MIP-9311980. The original version
of this code was written as part of a project to build a fixed-point vector
processor in collaboration with the University of California at Berkeley,
overseen by Profs. Nelson Morgan and John Wawrzynek. More information
is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
arithmetic/softfloat.html'.
THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort
has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO
PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
Derivative works are acceptable, even for commercial purposes, so long as
(1) they include prominent notice that the work is derivative, and (2) they
include prominent notice akin to these three paragraphs for those parts of
this code that are retained.
===============================================================================
*/
#ifndef __SOFTFLOAT_H__
#define __SOFTFLOAT_H__
#include <linux/config.h>
/*
-------------------------------------------------------------------------------
The macro `FLOATX80' must be defined to enable the extended double-precision
floating-point format `floatx80'. If this macro is not defined, the
`floatx80' type will not be defined, and none of the functions that either
input or output the `floatx80' type will be defined.
-------------------------------------------------------------------------------
*/
#ifdef CONFIG_FPE_NWFPE_XP
#define FLOATX80
#endif
/*
-------------------------------------------------------------------------------
Software IEC/IEEE floating-point types.
-------------------------------------------------------------------------------
*/
typedef unsigned long int float32;
typedef unsigned long long float64;
typedef struct {
unsigned short high;
unsigned long long low;
} floatx80;
/*
-------------------------------------------------------------------------------
Software IEC/IEEE floating-point underflow tininess-detection mode.
-------------------------------------------------------------------------------
*/
extern signed char float_detect_tininess;
enum {
float_tininess_after_rounding = 0,
float_tininess_before_rounding = 1
};
/*
-------------------------------------------------------------------------------
Software IEC/IEEE floating-point rounding mode.
-------------------------------------------------------------------------------
*/
//extern int8 float_rounding_mode;
enum {
float_round_nearest_even = 0,
float_round_to_zero = 1,
float_round_down = 2,
float_round_up = 3
};
/*
-------------------------------------------------------------------------------
Software IEC/IEEE floating-point exception flags.
-------------------------------------------------------------------------------
enum {
float_flag_inexact = 1,
float_flag_underflow = 2,
float_flag_overflow = 4,
float_flag_divbyzero = 8,
float_flag_invalid = 16
};
ScottB: November 4, 1998
Changed the enumeration to match the bit order in the FPA11.
*/
enum {
float_flag_invalid = 1,
float_flag_divbyzero = 2,
float_flag_overflow = 4,
float_flag_underflow = 8,
float_flag_inexact = 16
};
/*
-------------------------------------------------------------------------------
Routine to raise any or all of the software IEC/IEEE floating-point
exception flags.
-------------------------------------------------------------------------------
*/
void float_raise( signed char );
/*
-------------------------------------------------------------------------------
Software IEC/IEEE integer-to-floating-point conversion routines.
-------------------------------------------------------------------------------
*/
float32 int32_to_float32( struct roundingData *, signed int );
float64 int32_to_float64( signed int );
#ifdef FLOATX80
floatx80 int32_to_floatx80( signed int );
#endif
/*
-------------------------------------------------------------------------------
Software IEC/IEEE single-precision conversion routines.
-------------------------------------------------------------------------------
*/
signed int float32_to_int32( struct roundingData *, float32 );
signed int float32_to_int32_round_to_zero( float32 );
float64 float32_to_float64( float32 );
#ifdef FLOATX80
floatx80 float32_to_floatx80( float32 );
#endif
/*
-------------------------------------------------------------------------------
Software IEC/IEEE single-precision operations.
-------------------------------------------------------------------------------
*/
float32 float32_round_to_int( struct roundingData*, float32 );
float32 float32_add( struct roundingData *, float32, float32 );
float32 float32_sub( struct roundingData *, float32, float32 );
float32 float32_mul( struct roundingData *, float32, float32 );
float32 float32_div( struct roundingData *, float32, float32 );
float32 float32_rem( struct roundingData *, float32, float32 );
float32 float32_sqrt( struct roundingData*, float32 );
char float32_eq( float32, float32 );
char float32_le( float32, float32 );
char float32_lt( float32, float32 );
char float32_eq_signaling( float32, float32 );
char float32_le_quiet( float32, float32 );
char float32_lt_quiet( float32, float32 );
char float32_is_signaling_nan( float32 );
/*
-------------------------------------------------------------------------------
Software IEC/IEEE double-precision conversion routines.
-------------------------------------------------------------------------------
*/
signed int float64_to_int32( struct roundingData *, float64 );
signed int float64_to_int32_round_to_zero( float64 );
float32 float64_to_float32( struct roundingData *, float64 );
#ifdef FLOATX80
floatx80 float64_to_floatx80( float64 );
#endif
/*
-------------------------------------------------------------------------------
Software IEC/IEEE double-precision operations.
-------------------------------------------------------------------------------
*/
float64 float64_round_to_int( struct roundingData *, float64 );
float64 float64_add( struct roundingData *, float64, float64 );
float64 float64_sub( struct roundingData *, float64, float64 );
float64 float64_mul( struct roundingData *, float64, float64 );
float64 float64_div( struct roundingData *, float64, float64 );
float64 float64_rem( struct roundingData *, float64, float64 );
float64 float64_sqrt( struct roundingData *, float64 );
char float64_eq( float64, float64 );
char float64_le( float64, float64 );
char float64_lt( float64, float64 );
char float64_eq_signaling( float64, float64 );
char float64_le_quiet( float64, float64 );
char float64_lt_quiet( float64, float64 );
char float64_is_signaling_nan( float64 );
#ifdef FLOATX80
/*
-------------------------------------------------------------------------------
Software IEC/IEEE extended double-precision conversion routines.
-------------------------------------------------------------------------------
*/
signed int floatx80_to_int32( struct roundingData *, floatx80 );
signed int floatx80_to_int32_round_to_zero( floatx80 );
float32 floatx80_to_float32( struct roundingData *, floatx80 );
float64 floatx80_to_float64( struct roundingData *, floatx80 );
/*
-------------------------------------------------------------------------------
Software IEC/IEEE extended double-precision operations.
-------------------------------------------------------------------------------
*/
floatx80 floatx80_round_to_int( struct roundingData *, floatx80 );
floatx80 floatx80_add( struct roundingData *, floatx80, floatx80 );
floatx80 floatx80_sub( struct roundingData *, floatx80, floatx80 );
floatx80 floatx80_mul( struct roundingData *, floatx80, floatx80 );
floatx80 floatx80_div( struct roundingData *, floatx80, floatx80 );
floatx80 floatx80_rem( struct roundingData *, floatx80, floatx80 );
floatx80 floatx80_sqrt( struct roundingData *, floatx80 );
char floatx80_eq( floatx80, floatx80 );
char floatx80_le( floatx80, floatx80 );
char floatx80_lt( floatx80, floatx80 );
char floatx80_eq_signaling( floatx80, floatx80 );
char floatx80_le_quiet( floatx80, floatx80 );
char floatx80_lt_quiet( floatx80, floatx80 );
char floatx80_is_signaling_nan( floatx80 );
#endif
static inline flag extractFloat32Sign(float32 a)
{
return a >> 31;
}
static inline flag float32_eq_nocheck(float32 a, float32 b)
{
return (a == b) || ((bits32) ((a | b) << 1) == 0);
}
static inline flag float32_lt_nocheck(float32 a, float32 b)
{
flag aSign, bSign;
aSign = extractFloat32Sign(a);
bSign = extractFloat32Sign(b);
if (aSign != bSign)
return aSign && ((bits32) ((a | b) << 1) != 0);
return (a != b) && (aSign ^ (a < b));
}
static inline flag extractFloat64Sign(float64 a)
{
return a >> 63;
}
static inline flag float64_eq_nocheck(float64 a, float64 b)
{
return (a == b) || ((bits64) ((a | b) << 1) == 0);
}
static inline flag float64_lt_nocheck(float64 a, float64 b)
{
flag aSign, bSign;
aSign = extractFloat64Sign(a);
bSign = extractFloat64Sign(b);
if (aSign != bSign)
return aSign && ((bits64) ((a | b) << 1) != 0);
return (a != b) && (aSign ^ (a < b));
}
extern flag float32_is_nan( float32 a );
extern flag float64_is_nan( float64 a );
#endif
|
