xref: /third_party/mesa3d/src/util/bitset.h (revision bf215546)
1/*
2 * Mesa 3-D graphics library
3 *
4 * Copyright (C) 2006  Brian Paul   All Rights Reserved.
5 *
6 * Permission is hereby granted, free of charge, to any person obtaining a
7 * copy of this software and associated documentation files (the "Software"),
8 * to deal in the Software without restriction, including without limitation
9 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
10 * and/or sell copies of the Software, and to permit persons to whom the
11 * Software is furnished to do so, subject to the following conditions:
12 *
13 * The above copyright notice and this permission notice shall be included
14 * in all copies or substantial portions of the Software.
15 *
16 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
17 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
18 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
19 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR
20 * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
21 * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
22 * OTHER DEALINGS IN THE SOFTWARE.
23 */
24
25/**
26 * \file bitset.h
27 * \brief Bitset of arbitrary size definitions.
28 * \author Michal Krol
29 */
30
31#ifndef BITSET_H
32#define BITSET_H
33
34#include "util/bitscan.h"
35#include "util/macros.h"
36
37/****************************************************************************
38 * generic bitset implementation
39 */
40
41#define BITSET_WORD unsigned int
42#define BITSET_WORDBITS (sizeof (BITSET_WORD) * 8)
43
44/* bitset declarations
45 */
46#define BITSET_WORDS(bits) (((bits) + BITSET_WORDBITS - 1) / BITSET_WORDBITS)
47#define BITSET_DECLARE(name, bits) BITSET_WORD name[BITSET_WORDS(bits)]
48
49/* bitset operations
50 */
51#define BITSET_COPY(x, y) memcpy( (x), (y), sizeof (x) )
52#define BITSET_EQUAL(x, y) (memcmp( (x), (y), sizeof (x) ) == 0)
53#define BITSET_ZERO(x) memset( (x), 0, sizeof (x) )
54#define BITSET_ONES(x) memset( (x), 0xff, sizeof (x) )
55#define BITSET_SIZE(x) (8 * sizeof(x))  // bitset size in bits
56
57#define BITSET_BITWORD(b) ((b) / BITSET_WORDBITS)
58#define BITSET_BIT(b) (1u << ((b) % BITSET_WORDBITS))
59
60/* single bit operations
61 */
62#define BITSET_TEST(x, b) (((x)[BITSET_BITWORD(b)] & BITSET_BIT(b)) != 0)
63#define BITSET_SET(x, b) ((x)[BITSET_BITWORD(b)] |= BITSET_BIT(b))
64#define BITSET_CLEAR(x, b) ((x)[BITSET_BITWORD(b)] &= ~BITSET_BIT(b))
65
66#define BITSET_MASK(b) (((b) % BITSET_WORDBITS == 0) ? ~0 : BITSET_BIT(b) - 1)
67#define BITSET_RANGE(b, e) ((BITSET_MASK((e) + 1)) & ~(BITSET_BIT(b) - 1))
68
69/* logic bit operations
70 */
71static inline void
72__bitset_and(BITSET_WORD *r, const BITSET_WORD *x, const BITSET_WORD *y, unsigned n)
73{
74   for (unsigned i = 0; i < n; i++)
75      r[i] = x[i] & y[i];
76}
77
78static inline void
79__bitset_or(BITSET_WORD *r, const BITSET_WORD *x, const BITSET_WORD *y, unsigned n)
80{
81   for (unsigned i = 0; i < n; i++)
82      r[i] = x[i] | y[i];
83}
84
85static inline void
86__bitset_not(BITSET_WORD *x, unsigned n)
87{
88   for (unsigned i = 0; i < n; i++)
89      x[i] = ~x[i];
90}
91
92#define BITSET_AND(r, x, y)   \
93   do { \
94      assert(ARRAY_SIZE(r) == ARRAY_SIZE(x)); \
95      assert(ARRAY_SIZE(r) == ARRAY_SIZE(y)); \
96      __bitset_and(r, x, y, ARRAY_SIZE(r)); \
97   } while (0)
98
99#define BITSET_OR(r, x, y)   \
100   do { \
101      assert(ARRAY_SIZE(r) == ARRAY_SIZE(x)); \
102      assert(ARRAY_SIZE(r) == ARRAY_SIZE(y)); \
103      __bitset_or(r, x, y, ARRAY_SIZE(r)); \
104   } while (0)
105
106#define BITSET_NOT(x)   \
107   __bitset_not(x, ARRAY_SIZE(x))
108
109static inline void
110__bitset_rotate_right(BITSET_WORD *x, unsigned amount, unsigned n)
111{
112   assert(amount < BITSET_WORDBITS);
113
114   if (amount == 0)
115      return;
116
117   for (unsigned i = 0; i < n - 1; i++) {
118      x[i] = (x[i] >> amount) | (x[i + 1] << (BITSET_WORDBITS - amount));
119   }
120
121   x[n - 1] = x[n - 1] >> amount;
122}
123
124static inline void
125__bitset_rotate_left(BITSET_WORD *x, unsigned amount, unsigned n)
126{
127   assert(amount < BITSET_WORDBITS);
128
129   if (amount == 0)
130      return;
131
132   for (int i = n - 1; i > 0; i--) {
133      x[i] = (x[i] << amount) | (x[i - 1] >> (BITSET_WORDBITS - amount));
134   }
135
136   x[0] = x[0] << amount;
137}
138
139static inline void
140__bitset_shr(BITSET_WORD *x, unsigned amount, unsigned n)
141{
142   const unsigned int words = amount / BITSET_WORDBITS;
143
144   if (amount == 0)
145      return;
146
147   if (words) {
148      unsigned i;
149
150      for (i = 0; i < n - words; i++)
151         x[i] = x[i + words];
152
153      while (i < n)
154         x[i++] = 0;
155
156      amount %= BITSET_WORDBITS;
157   }
158
159   __bitset_rotate_right(x, amount, n);
160}
161
162
163static inline void
164__bitset_shl(BITSET_WORD *x, unsigned amount, unsigned n)
165{
166   const int words = amount / BITSET_WORDBITS;
167
168   if (amount == 0)
169      return;
170
171   if (words) {
172      int i;
173
174      for (i = n - 1; i >= words; i--) {
175         x[i] = x[i - words];
176      }
177
178      while (i >= 0) {
179         x[i--] = 0;
180      }
181
182      amount %= BITSET_WORDBITS;
183   }
184
185   __bitset_rotate_left(x, amount, n);
186}
187
188#define BITSET_SHR(x, n)   \
189   __bitset_shr(x, n, ARRAY_SIZE(x));
190
191#define BITSET_SHL(x, n)   \
192   __bitset_shl(x, n, ARRAY_SIZE(x));
193
194/* bit range operations
195 */
196#define BITSET_TEST_RANGE_INSIDE_WORD(x, b, e) \
197   (BITSET_BITWORD(b) == BITSET_BITWORD(e) ? \
198   (((x)[BITSET_BITWORD(b)] & BITSET_RANGE(b, e)) != 0) : \
199   (assert (!"BITSET_TEST_RANGE: bit range crosses word boundary"), 0))
200#define BITSET_SET_RANGE_INSIDE_WORD(x, b, e) \
201   (BITSET_BITWORD(b) == BITSET_BITWORD(e) ? \
202   ((x)[BITSET_BITWORD(b)] |= BITSET_RANGE(b, e)) : \
203   (assert (!"BITSET_SET_RANGE_INSIDE_WORD: bit range crosses word boundary"), 0))
204#define BITSET_CLEAR_RANGE_INSIDE_WORD(x, b, e) \
205   (BITSET_BITWORD(b) == BITSET_BITWORD(e) ? \
206   ((x)[BITSET_BITWORD(b)] &= ~BITSET_RANGE(b, e)) : \
207   (assert (!"BITSET_CLEAR_RANGE: bit range crosses word boundary"), 0))
208
209static inline bool
210__bitset_test_range(const BITSET_WORD *r, unsigned start, unsigned end)
211{
212   const unsigned size = end - start + 1;
213   const unsigned start_mod = start % BITSET_WORDBITS;
214
215   if (start_mod + size <= BITSET_WORDBITS) {
216      return BITSET_TEST_RANGE_INSIDE_WORD(r, start, end);
217   } else {
218      const unsigned first_size = BITSET_WORDBITS - start_mod;
219
220      return __bitset_test_range(r, start, start + first_size - 1) ||
221             __bitset_test_range(r, start + first_size, end);
222   }
223}
224
225#define BITSET_TEST_RANGE(x, b, e) \
226   __bitset_test_range(x, b, e)
227
228static inline void
229__bitset_set_range(BITSET_WORD *r, unsigned start, unsigned end)
230{
231   const unsigned size = end - start + 1;
232   const unsigned start_mod = start % BITSET_WORDBITS;
233
234   if (start_mod + size <= BITSET_WORDBITS) {
235      BITSET_SET_RANGE_INSIDE_WORD(r, start, end);
236   } else {
237      const unsigned first_size = BITSET_WORDBITS - start_mod;
238
239      __bitset_set_range(r, start, start + first_size - 1);
240      __bitset_set_range(r, start + first_size, end);
241   }
242}
243
244#define BITSET_SET_RANGE(x, b, e) \
245   __bitset_set_range(x, b, e)
246
247static inline void
248__bitclear_clear_range(BITSET_WORD *r, unsigned start, unsigned end)
249{
250   const unsigned size = end - start + 1;
251   const unsigned start_mod = start % BITSET_WORDBITS;
252
253   if (start_mod + size <= BITSET_WORDBITS) {
254      BITSET_CLEAR_RANGE_INSIDE_WORD(r, start, end);
255   } else {
256      const unsigned first_size = BITSET_WORDBITS - start_mod;
257
258      __bitclear_clear_range(r, start, start + first_size - 1);
259      __bitclear_clear_range(r, start + first_size, end);
260   }
261}
262
263#define BITSET_CLEAR_RANGE(x, b, e) \
264   __bitclear_clear_range(x, b, e)
265
266static inline unsigned
267__bitset_prefix_sum(const BITSET_WORD *x, unsigned b, unsigned n)
268{
269   unsigned prefix = 0;
270
271   for (unsigned i = 0; i < n; i++) {
272      if ((i + 1) * BITSET_WORDBITS <= b) {
273         prefix += util_bitcount(x[i]);
274      } else {
275         prefix += util_bitcount(x[i] & BITFIELD_MASK(b - i * BITSET_WORDBITS));
276         break;
277      }
278   }
279   return prefix;
280}
281
282/* Count set bits in the bitset (compute the size/cardinality of the bitset).
283 * This is a special case of prefix sum, but this convenience method is more
284 * natural when applicable.
285 */
286
287static inline unsigned
288__bitset_count(const BITSET_WORD *x, unsigned n)
289{
290   return __bitset_prefix_sum(x, ~0, n);
291}
292
293#define BITSET_PREFIX_SUM(x, b) \
294   __bitset_prefix_sum(x, b, ARRAY_SIZE(x))
295
296#define BITSET_COUNT(x) \
297   __bitset_count(x, ARRAY_SIZE(x))
298
299/* Get first bit set in a bitset.
300 */
301static inline int
302__bitset_ffs(const BITSET_WORD *x, int n)
303{
304   for (int i = 0; i < n; i++) {
305      if (x[i])
306         return ffs(x[i]) + BITSET_WORDBITS * i;
307   }
308
309   return 0;
310}
311
312/* Get the last bit set in a bitset.
313 */
314static inline int
315__bitset_last_bit(const BITSET_WORD *x, int n)
316{
317   for (int i = n - 1; i >= 0; i--) {
318      if (x[i])
319         return util_last_bit(x[i]) + BITSET_WORDBITS * i;
320   }
321
322   return 0;
323}
324
325#define BITSET_FFS(x) __bitset_ffs(x, ARRAY_SIZE(x))
326#define BITSET_LAST_BIT(x) __bitset_last_bit(x, ARRAY_SIZE(x))
327#define BITSET_LAST_BIT_SIZED(x, size) __bitset_last_bit(x, size)
328
329static inline unsigned
330__bitset_next_set(unsigned i, BITSET_WORD *tmp,
331                  const BITSET_WORD *set, unsigned size)
332{
333   unsigned bit, word;
334
335   /* NOTE: The initial conditions for this function are very specific.  At
336    * the start of the loop, the tmp variable must be set to *set and the
337    * initial i value set to 0.  This way, if there is a bit set in the first
338    * word, we ignore the i-value and just grab that bit (so 0 is ok, even
339    * though 0 may be returned).  If the first word is 0, then the value of
340    * `word` will be 0 and we will go on to look at the second word.
341    */
342   word = BITSET_BITWORD(i);
343   while (*tmp == 0) {
344      word++;
345
346      if (word >= BITSET_WORDS(size))
347         return size;
348
349      *tmp = set[word];
350   }
351
352   /* Find the next set bit in the non-zero word */
353   bit = ffs(*tmp) - 1;
354
355   /* Unset the bit */
356   *tmp &= ~(1ull << bit);
357
358   return word * BITSET_WORDBITS + bit;
359}
360
361/**
362 * Iterates over each set bit in a set
363 *
364 * @param __i    iteration variable, bit number
365 * @param __set  the bitset to iterate (will not be modified)
366 * @param __size number of bits in the set to consider
367 */
368#define BITSET_FOREACH_SET(__i, __set, __size) \
369   for (BITSET_WORD __tmp = (__size) == 0 ? 0 : *(__set), *__foo = &__tmp; __foo != NULL; __foo = NULL) \
370      for (__i = 0; \
371           (__i = __bitset_next_set(__i, &__tmp, __set, __size)) < __size;)
372
373static inline void
374__bitset_next_range(unsigned *start, unsigned *end, const BITSET_WORD *set,
375                    unsigned size)
376{
377   /* To find the next start, start searching from end. In the first iteration
378    * it will be at 0, in every subsequent iteration it will be at the first
379    * 0-bit after the range.
380    */
381   unsigned word = BITSET_BITWORD(*end);
382   if (word >= BITSET_WORDS(size)) {
383      *start = *end = size;
384      return;
385   }
386   BITSET_WORD tmp = set[word] & ~(BITSET_BIT(*end) - 1);
387   while (!tmp) {
388      word++;
389      if (word >= BITSET_WORDS(size)) {
390         *start = *end = size;
391         return;
392      }
393      tmp = set[word];
394   }
395
396   *start = word * BITSET_WORDBITS + ffs(tmp) - 1;
397
398   /* Now do the opposite to find end. Here we can start at start + 1, because
399    * we know that the bit at start is 1 and we're searching for the first
400    * 0-bit.
401    */
402   word = BITSET_BITWORD(*start + 1);
403   if (word >= BITSET_WORDS(size)) {
404      *end = size;
405      return;
406   }
407   tmp = set[word] | (BITSET_BIT(*start + 1) - 1);
408   while (~tmp == 0) {
409      word++;
410      if (word >= BITSET_WORDS(size)) {
411         *end = size;
412         return;
413      }
414      tmp = set[word];
415   }
416
417   /* Cap "end" at "size" in case there are extra bits past "size" set in the
418    * word. This is only necessary for "end" because we terminate the loop if
419    * "start" goes past "size".
420    */
421   *end = MIN2(word * BITSET_WORDBITS + ffs(~tmp) - 1, size);
422}
423
424/**
425 * Iterates over each contiguous range of set bits in a set
426 *
427 * @param __start the first 1 bit of the current range
428 * @param __end   the bit after the last 1 bit of the current range
429 * @param __set   the bitset to iterate (will not be modified)
430 * @param __size  number of bits in the set to consider
431 */
432#define BITSET_FOREACH_RANGE(__start, __end, __set, __size) \
433   for (__start = 0, __end = 0, \
434        __bitset_next_range(&__start, &__end, __set, __size); \
435        __start < __size; \
436        __bitset_next_range(&__start, &__end, __set, __size))
437
438
439#ifdef __cplusplus
440
441/**
442 * Simple C++ wrapper of a bitset type of static size, with value semantics
443 * and basic bitwise arithmetic operators.  The operators defined below are
444 * expected to have the same semantics as the same operator applied to other
445 * fundamental integer types.  T is the name of the struct to instantiate
446 * it as, and N is the number of bits in the bitset.
447 */
448#define DECLARE_BITSET_T(T, N) struct T {                       \
449      EXPLICIT_CONVERSION                                       \
450      operator bool() const                                     \
451      {                                                         \
452         for (unsigned i = 0; i < BITSET_WORDS(N); i++)         \
453            if (words[i])                                       \
454               return true;                                     \
455         return false;                                          \
456      }                                                         \
457                                                                \
458      T &                                                       \
459      operator=(int x)                                          \
460      {                                                         \
461         const T c = {{ (BITSET_WORD)x }};                      \
462         return *this = c;                                      \
463      }                                                         \
464                                                                \
465      friend bool                                               \
466      operator==(const T &b, const T &c)                        \
467      {                                                         \
468         return BITSET_EQUAL(b.words, c.words);                 \
469      }                                                         \
470                                                                \
471      friend bool                                               \
472      operator!=(const T &b, const T &c)                        \
473      {                                                         \
474         return !(b == c);                                      \
475      }                                                         \
476                                                                \
477      friend bool                                               \
478      operator==(const T &b, int x)                             \
479      {                                                         \
480         const T c = {{ (BITSET_WORD)x }};                      \
481         return b == c;                                         \
482      }                                                         \
483                                                                \
484      friend bool                                               \
485      operator!=(const T &b, int x)                             \
486      {                                                         \
487         return !(b == x);                                      \
488      }                                                         \
489                                                                \
490      friend T                                                  \
491      operator~(const T &b)                                     \
492      {                                                         \
493         T c;                                                   \
494         for (unsigned i = 0; i < BITSET_WORDS(N); i++)         \
495            c.words[i] = ~b.words[i];                           \
496         return c;                                              \
497      }                                                         \
498                                                                \
499      T &                                                       \
500      operator|=(const T &b)                                    \
501      {                                                         \
502         for (unsigned i = 0; i < BITSET_WORDS(N); i++)         \
503            words[i] |= b.words[i];                             \
504         return *this;                                          \
505      }                                                         \
506                                                                \
507      friend T                                                  \
508      operator|(const T &b, const T &c)                         \
509      {                                                         \
510         T d = b;                                               \
511         d |= c;                                                \
512         return d;                                              \
513      }                                                         \
514                                                                \
515      T &                                                       \
516      operator&=(const T &b)                                    \
517      {                                                         \
518         for (unsigned i = 0; i < BITSET_WORDS(N); i++)         \
519            words[i] &= b.words[i];                             \
520         return *this;                                          \
521      }                                                         \
522                                                                \
523      friend T                                                  \
524      operator&(const T &b, const T &c)                         \
525      {                                                         \
526         T d = b;                                               \
527         d &= c;                                                \
528         return d;                                              \
529      }                                                         \
530                                                                \
531      bool                                                      \
532      test(unsigned i) const                                    \
533      {                                                         \
534         return BITSET_TEST(words, i);                          \
535      }                                                         \
536                                                                \
537      T &                                                       \
538      set(unsigned i)                                           \
539      {                                                         \
540         BITSET_SET(words, i);                                  \
541         return *this;                                          \
542      }                                                         \
543                                                                \
544      T &                                                       \
545      clear(unsigned i)                                         \
546      {                                                         \
547         BITSET_CLEAR(words, i);                                \
548         return *this;                                          \
549      }                                                         \
550                                                                \
551      BITSET_WORD words[BITSET_WORDS(N)];                       \
552   }
553
554#endif
555
556#endif
557