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
|
/* Simple bitmaps.
Copyright (C) 1999-2015 Free Software Foundation, Inc.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING3. If not see
<http://www.gnu.org/licenses/>. */
#ifndef GCC_SBITMAP_H
#define GCC_SBITMAP_H
/* Implementation of sets using simple bitmap vectors.
This set representation is suitable for non-sparse sets with a known
(a priori) universe. The set is represented as a simple array of the
host's fastest unsigned integer. For a given member I in the set:
- the element for I will be at sbitmap[I / (bits per element)]
- the position for I within element is I % (bits per element)
This representation is very space-efficient for large non-sparse sets
with random access patterns.
The following operations can be performed in O(1) time:
* set_size : SBITMAP_SIZE
* member_p : bitmap_bit_p
* add_member : bitmap_set_bit
* remove_member : bitmap_clear_bit
Most other operations on this set representation are O(U) where U is
the size of the set universe:
* clear : bitmap_clear
* choose_one : bitmap_first_set_bit /
bitmap_last_set_bit
* forall : EXECUTE_IF_SET_IN_BITMAP
* set_copy : bitmap_copy
* set_intersection : bitmap_and
* set_union : bitmap_ior
* set_difference : bitmap_and_compl
* set_disjuction : (not implemented)
* set_compare : bitmap_equal_p
Some operations on 3 sets that occur frequently in data flow problems
are also implemented:
* A | (B & C) : bitmap_or_and
* A | (B & ~C) : bitmap_ior_and_compl
* A & (B | C) : bitmap_and_or
Most of the set functions have two variants: One that returns non-zero
if members were added or removed from the target set, and one that just
performs the operation without feedback. The former operations are a
bit more expensive but the result can often be used to avoid iterations
on other sets.
Allocating a bitmap is done with sbitmap_alloc, and resizing is
performed with sbitmap_resize.
The storage requirements for simple bitmap sets is O(U) where U is the
size of the set universe (colloquially the number of bits in the bitmap).
This set representation works well for relatively small data flow problems
(there are special routines for that, see sbitmap_vector_*). The set
operations can be vectorized and there is almost no computating overhead,
so that even sparse simple bitmap sets outperform dedicated sparse set
representations like linked-list bitmaps. For larger problems, the size
overhead of simple bitmap sets gets too high and other set representations
have to be used. */
#define SBITMAP_ELT_BITS (HOST_BITS_PER_WIDEST_FAST_INT * 1u)
#define SBITMAP_ELT_TYPE unsigned HOST_WIDEST_FAST_INT
struct simple_bitmap_def
{
unsigned char *popcount; /* Population count. */
unsigned int n_bits; /* Number of bits. */
unsigned int size; /* Size in elements. */
SBITMAP_ELT_TYPE elms[1]; /* The elements. */
};
/* Return the set size needed for N elements. */
#define SBITMAP_SET_SIZE(N) (((N) + SBITMAP_ELT_BITS - 1) / SBITMAP_ELT_BITS)
/* Return the number of bits in BITMAP. */
#define SBITMAP_SIZE(BITMAP) ((BITMAP)->n_bits)
/* Test if bit number bitno in the bitmap is set. */
static inline SBITMAP_ELT_TYPE
bitmap_bit_p (const_sbitmap map, int bitno)
{
size_t i = bitno / SBITMAP_ELT_BITS;
unsigned int s = bitno % SBITMAP_ELT_BITS;
return (map->elms[i] >> s) & (SBITMAP_ELT_TYPE) 1;
}
/* Set bit number BITNO in the sbitmap MAP. */
static inline void
bitmap_set_bit (sbitmap map, int bitno)
{
gcc_checking_assert (! map->popcount);
map->elms[bitno / SBITMAP_ELT_BITS]
|= (SBITMAP_ELT_TYPE) 1 << (bitno) % SBITMAP_ELT_BITS;
}
/* Reset bit number BITNO in the sbitmap MAP. */
static inline void
bitmap_clear_bit (sbitmap map, int bitno)
{
gcc_checking_assert (! map->popcount);
map->elms[bitno / SBITMAP_ELT_BITS]
&= ~((SBITMAP_ELT_TYPE) 1 << (bitno) % SBITMAP_ELT_BITS);
}
/* The iterator for sbitmap. */
struct sbitmap_iterator {
/* The pointer to the first word of the bitmap. */
const SBITMAP_ELT_TYPE *ptr;
/* The size of the bitmap. */
unsigned int size;
/* The current word index. */
unsigned int word_num;
/* The current bit index (not modulo SBITMAP_ELT_BITS). */
unsigned int bit_num;
/* The words currently visited. */
SBITMAP_ELT_TYPE word;
};
/* Initialize the iterator I with sbitmap BMP and the initial index
MIN. */
static inline void
bmp_iter_set_init (sbitmap_iterator *i, const_sbitmap bmp,
unsigned int min, unsigned *bit_no ATTRIBUTE_UNUSED)
{
i->word_num = min / (unsigned int) SBITMAP_ELT_BITS;
i->bit_num = min;
i->size = bmp->size;
i->ptr = bmp->elms;
if (i->word_num >= i->size)
i->word = 0;
else
i->word = (i->ptr[i->word_num]
>> (i->bit_num % (unsigned int) SBITMAP_ELT_BITS));
}
/* Return true if we have more bits to visit, in which case *N is set
to the index of the bit to be visited. Otherwise, return
false. */
static inline bool
bmp_iter_set (sbitmap_iterator *i, unsigned int *n)
{
/* Skip words that are zeros. */
for (; i->word == 0; i->word = i->ptr[i->word_num])
{
i->word_num++;
/* If we have reached the end, break. */
if (i->word_num >= i->size)
return false;
i->bit_num = i->word_num * SBITMAP_ELT_BITS;
}
/* Skip bits that are zero. */
for (; (i->word & 1) == 0; i->word >>= 1)
i->bit_num++;
*n = i->bit_num;
return true;
}
/* Advance to the next bit. */
static inline void
bmp_iter_next (sbitmap_iterator *i, unsigned *bit_no ATTRIBUTE_UNUSED)
{
i->word >>= 1;
i->bit_num++;
}
/* Loop over all elements of SBITMAP, starting with MIN. In each
iteration, N is set to the index of the bit being visited. ITER is
an instance of sbitmap_iterator used to iterate the bitmap. */
#ifndef EXECUTE_IF_SET_IN_BITMAP
/* See bitmap.h for the other definition of EXECUTE_IF_SET_IN_BITMAP. */
#define EXECUTE_IF_SET_IN_BITMAP(BITMAP, MIN, BITNUM, ITER) \
for (bmp_iter_set_init (&(ITER), (BITMAP), (MIN), &(BITNUM)); \
bmp_iter_set (&(ITER), &(BITNUM)); \
bmp_iter_next (&(ITER), &(BITNUM)))
#endif
inline void sbitmap_free (sbitmap map)
{
free (map->popcount);
free (map);
}
inline void sbitmap_vector_free (sbitmap * vec)
{
free (vec);
}
extern void dump_bitmap (FILE *, const_sbitmap);
extern void debug_raw (const simple_bitmap_def &ref);
extern void debug_raw (const simple_bitmap_def *ptr);
extern void dump_bitmap_file (FILE *, const_sbitmap);
extern void debug (const simple_bitmap_def &ref);
extern void debug (const simple_bitmap_def *ptr);
extern void dump_bitmap_vector (FILE *, const char *, const char *, sbitmap *,
int);
extern sbitmap sbitmap_alloc (unsigned int);
extern sbitmap sbitmap_alloc_with_popcount (unsigned int);
extern sbitmap *sbitmap_vector_alloc (unsigned int, unsigned int);
extern sbitmap sbitmap_resize (sbitmap, unsigned int, int);
extern void bitmap_copy (sbitmap, const_sbitmap);
extern int bitmap_equal_p (const_sbitmap, const_sbitmap);
extern bool bitmap_empty_p (const_sbitmap);
extern void bitmap_clear (sbitmap);
extern void bitmap_ones (sbitmap);
extern void bitmap_vector_clear (sbitmap *, unsigned int);
extern void bitmap_vector_ones (sbitmap *, unsigned int);
extern bool bitmap_ior_and_compl (sbitmap, const_sbitmap,
const_sbitmap, const_sbitmap);
extern void bitmap_and_compl (sbitmap, const_sbitmap, const_sbitmap);
extern void bitmap_not (sbitmap, const_sbitmap);
extern bool bitmap_or_and (sbitmap, const_sbitmap,
const_sbitmap, const_sbitmap);
extern bool bitmap_and_or (sbitmap, const_sbitmap,
const_sbitmap, const_sbitmap);
extern bool bitmap_intersect_p (const_sbitmap, const_sbitmap);
extern bool bitmap_and (sbitmap, const_sbitmap, const_sbitmap);
extern bool bitmap_ior (sbitmap, const_sbitmap, const_sbitmap);
extern bool bitmap_xor (sbitmap, const_sbitmap, const_sbitmap);
extern bool bitmap_subset_p (const_sbitmap, const_sbitmap);
extern int bitmap_first_set_bit (const_sbitmap);
extern int bitmap_last_set_bit (const_sbitmap);
extern void debug_bitmap (const_sbitmap);
extern sbitmap sbitmap_realloc (sbitmap, unsigned int);
extern unsigned long sbitmap_popcount (const_sbitmap, unsigned long);
#endif /* ! GCC_SBITMAP_H */
|