qemu-char: append opt to stop truncation of serial file
[qemu.git] / util / hbitmap.c
blob50b888fd607bdeab5c02fb2faa5c388588be4850
1 /*
2 * Hierarchical Bitmap Data Type
4 * Copyright Red Hat, Inc., 2012
6 * Author: Paolo Bonzini <pbonzini@redhat.com>
8 * This work is licensed under the terms of the GNU GPL, version 2 or
9 * later. See the COPYING file in the top-level directory.
12 #include <string.h>
13 #include <glib.h>
14 #include <assert.h>
15 #include "qemu/osdep.h"
16 #include "qemu/hbitmap.h"
17 #include "qemu/host-utils.h"
18 #include "trace.h"
20 /* HBitmaps provides an array of bits. The bits are stored as usual in an
21 * array of unsigned longs, but HBitmap is also optimized to provide fast
22 * iteration over set bits; going from one bit to the next is O(logB n)
23 * worst case, with B = sizeof(long) * CHAR_BIT: the result is low enough
24 * that the number of levels is in fact fixed.
26 * In order to do this, it stacks multiple bitmaps with progressively coarser
27 * granularity; in all levels except the last, bit N is set iff the N-th
28 * unsigned long is nonzero in the immediately next level. When iteration
29 * completes on the last level it can examine the 2nd-last level to quickly
30 * skip entire words, and even do so recursively to skip blocks of 64 words or
31 * powers thereof (32 on 32-bit machines).
33 * Given an index in the bitmap, it can be split in group of bits like
34 * this (for the 64-bit case):
36 * bits 0-57 => word in the last bitmap | bits 58-63 => bit in the word
37 * bits 0-51 => word in the 2nd-last bitmap | bits 52-57 => bit in the word
38 * bits 0-45 => word in the 3rd-last bitmap | bits 46-51 => bit in the word
40 * So it is easy to move up simply by shifting the index right by
41 * log2(BITS_PER_LONG) bits. To move down, you shift the index left
42 * similarly, and add the word index within the group. Iteration uses
43 * ffs (find first set bit) to find the next word to examine; this
44 * operation can be done in constant time in most current architectures.
46 * Setting or clearing a range of m bits on all levels, the work to perform
47 * is O(m + m/W + m/W^2 + ...), which is O(m) like on a regular bitmap.
49 * When iterating on a bitmap, each bit (on any level) is only visited
50 * once. Hence, The total cost of visiting a bitmap with m bits in it is
51 * the number of bits that are set in all bitmaps. Unless the bitmap is
52 * extremely sparse, this is also O(m + m/W + m/W^2 + ...), so the amortized
53 * cost of advancing from one bit to the next is usually constant (worst case
54 * O(logB n) as in the non-amortized complexity).
57 struct HBitmap {
58 /* Number of total bits in the bottom level. */
59 uint64_t size;
61 /* Number of set bits in the bottom level. */
62 uint64_t count;
64 /* A scaling factor. Given a granularity of G, each bit in the bitmap will
65 * will actually represent a group of 2^G elements. Each operation on a
66 * range of bits first rounds the bits to determine which group they land
67 * in, and then affect the entire page; iteration will only visit the first
68 * bit of each group. Here is an example of operations in a size-16,
69 * granularity-1 HBitmap:
71 * initial state 00000000
72 * set(start=0, count=9) 11111000 (iter: 0, 2, 4, 6, 8)
73 * reset(start=1, count=3) 00111000 (iter: 4, 6, 8)
74 * set(start=9, count=2) 00111100 (iter: 4, 6, 8, 10)
75 * reset(start=5, count=5) 00000000
77 * From an implementation point of view, when setting or resetting bits,
78 * the bitmap will scale bit numbers right by this amount of bits. When
79 * iterating, the bitmap will scale bit numbers left by this amount of
80 * bits.
82 int granularity;
84 /* A number of progressively less coarse bitmaps (i.e. level 0 is the
85 * coarsest). Each bit in level N represents a word in level N+1 that
86 * has a set bit, except the last level where each bit represents the
87 * actual bitmap.
89 * Note that all bitmaps have the same number of levels. Even a 1-bit
90 * bitmap will still allocate HBITMAP_LEVELS arrays.
92 unsigned long *levels[HBITMAP_LEVELS];
94 /* The length of each levels[] array. */
95 uint64_t sizes[HBITMAP_LEVELS];
98 /* Advance hbi to the next nonzero word and return it. hbi->pos
99 * is updated. Returns zero if we reach the end of the bitmap.
101 unsigned long hbitmap_iter_skip_words(HBitmapIter *hbi)
103 size_t pos = hbi->pos;
104 const HBitmap *hb = hbi->hb;
105 unsigned i = HBITMAP_LEVELS - 1;
107 unsigned long cur;
108 do {
109 cur = hbi->cur[--i];
110 pos >>= BITS_PER_LEVEL;
111 } while (cur == 0);
113 /* Check for end of iteration. We always use fewer than BITS_PER_LONG
114 * bits in the level 0 bitmap; thus we can repurpose the most significant
115 * bit as a sentinel. The sentinel is set in hbitmap_alloc and ensures
116 * that the above loop ends even without an explicit check on i.
119 if (i == 0 && cur == (1UL << (BITS_PER_LONG - 1))) {
120 return 0;
122 for (; i < HBITMAP_LEVELS - 1; i++) {
123 /* Shift back pos to the left, matching the right shifts above.
124 * The index of this word's least significant set bit provides
125 * the low-order bits.
127 assert(cur);
128 pos = (pos << BITS_PER_LEVEL) + ctzl(cur);
129 hbi->cur[i] = cur & (cur - 1);
131 /* Set up next level for iteration. */
132 cur = hb->levels[i + 1][pos];
135 hbi->pos = pos;
136 trace_hbitmap_iter_skip_words(hbi->hb, hbi, pos, cur);
138 assert(cur);
139 return cur;
142 void hbitmap_iter_init(HBitmapIter *hbi, const HBitmap *hb, uint64_t first)
144 unsigned i, bit;
145 uint64_t pos;
147 hbi->hb = hb;
148 pos = first >> hb->granularity;
149 assert(pos < hb->size);
150 hbi->pos = pos >> BITS_PER_LEVEL;
151 hbi->granularity = hb->granularity;
153 for (i = HBITMAP_LEVELS; i-- > 0; ) {
154 bit = pos & (BITS_PER_LONG - 1);
155 pos >>= BITS_PER_LEVEL;
157 /* Drop bits representing items before first. */
158 hbi->cur[i] = hb->levels[i][pos] & ~((1UL << bit) - 1);
160 /* We have already added level i+1, so the lowest set bit has
161 * been processed. Clear it.
163 if (i != HBITMAP_LEVELS - 1) {
164 hbi->cur[i] &= ~(1UL << bit);
169 bool hbitmap_empty(const HBitmap *hb)
171 return hb->count == 0;
174 int hbitmap_granularity(const HBitmap *hb)
176 return hb->granularity;
179 uint64_t hbitmap_count(const HBitmap *hb)
181 return hb->count << hb->granularity;
184 /* Count the number of set bits between start and end, not accounting for
185 * the granularity. Also an example of how to use hbitmap_iter_next_word.
187 static uint64_t hb_count_between(HBitmap *hb, uint64_t start, uint64_t last)
189 HBitmapIter hbi;
190 uint64_t count = 0;
191 uint64_t end = last + 1;
192 unsigned long cur;
193 size_t pos;
195 hbitmap_iter_init(&hbi, hb, start << hb->granularity);
196 for (;;) {
197 pos = hbitmap_iter_next_word(&hbi, &cur);
198 if (pos >= (end >> BITS_PER_LEVEL)) {
199 break;
201 count += ctpopl(cur);
204 if (pos == (end >> BITS_PER_LEVEL)) {
205 /* Drop bits representing the END-th and subsequent items. */
206 int bit = end & (BITS_PER_LONG - 1);
207 cur &= (1UL << bit) - 1;
208 count += ctpopl(cur);
211 return count;
214 /* Setting starts at the last layer and propagates up if an element
215 * changes from zero to non-zero.
217 static inline bool hb_set_elem(unsigned long *elem, uint64_t start, uint64_t last)
219 unsigned long mask;
220 bool changed;
222 assert((last >> BITS_PER_LEVEL) == (start >> BITS_PER_LEVEL));
223 assert(start <= last);
225 mask = 2UL << (last & (BITS_PER_LONG - 1));
226 mask -= 1UL << (start & (BITS_PER_LONG - 1));
227 changed = (*elem == 0);
228 *elem |= mask;
229 return changed;
232 /* The recursive workhorse (the depth is limited to HBITMAP_LEVELS)... */
233 static void hb_set_between(HBitmap *hb, int level, uint64_t start, uint64_t last)
235 size_t pos = start >> BITS_PER_LEVEL;
236 size_t lastpos = last >> BITS_PER_LEVEL;
237 bool changed = false;
238 size_t i;
240 i = pos;
241 if (i < lastpos) {
242 uint64_t next = (start | (BITS_PER_LONG - 1)) + 1;
243 changed |= hb_set_elem(&hb->levels[level][i], start, next - 1);
244 for (;;) {
245 start = next;
246 next += BITS_PER_LONG;
247 if (++i == lastpos) {
248 break;
250 changed |= (hb->levels[level][i] == 0);
251 hb->levels[level][i] = ~0UL;
254 changed |= hb_set_elem(&hb->levels[level][i], start, last);
256 /* If there was any change in this layer, we may have to update
257 * the one above.
259 if (level > 0 && changed) {
260 hb_set_between(hb, level - 1, pos, lastpos);
264 void hbitmap_set(HBitmap *hb, uint64_t start, uint64_t count)
266 /* Compute range in the last layer. */
267 uint64_t last = start + count - 1;
269 trace_hbitmap_set(hb, start, count,
270 start >> hb->granularity, last >> hb->granularity);
272 start >>= hb->granularity;
273 last >>= hb->granularity;
274 count = last - start + 1;
276 hb->count += count - hb_count_between(hb, start, last);
277 hb_set_between(hb, HBITMAP_LEVELS - 1, start, last);
280 /* Resetting works the other way round: propagate up if the new
281 * value is zero.
283 static inline bool hb_reset_elem(unsigned long *elem, uint64_t start, uint64_t last)
285 unsigned long mask;
286 bool blanked;
288 assert((last >> BITS_PER_LEVEL) == (start >> BITS_PER_LEVEL));
289 assert(start <= last);
291 mask = 2UL << (last & (BITS_PER_LONG - 1));
292 mask -= 1UL << (start & (BITS_PER_LONG - 1));
293 blanked = *elem != 0 && ((*elem & ~mask) == 0);
294 *elem &= ~mask;
295 return blanked;
298 /* The recursive workhorse (the depth is limited to HBITMAP_LEVELS)... */
299 static void hb_reset_between(HBitmap *hb, int level, uint64_t start, uint64_t last)
301 size_t pos = start >> BITS_PER_LEVEL;
302 size_t lastpos = last >> BITS_PER_LEVEL;
303 bool changed = false;
304 size_t i;
306 i = pos;
307 if (i < lastpos) {
308 uint64_t next = (start | (BITS_PER_LONG - 1)) + 1;
310 /* Here we need a more complex test than when setting bits. Even if
311 * something was changed, we must not blank bits in the upper level
312 * unless the lower-level word became entirely zero. So, remove pos
313 * from the upper-level range if bits remain set.
315 if (hb_reset_elem(&hb->levels[level][i], start, next - 1)) {
316 changed = true;
317 } else {
318 pos++;
321 for (;;) {
322 start = next;
323 next += BITS_PER_LONG;
324 if (++i == lastpos) {
325 break;
327 changed |= (hb->levels[level][i] != 0);
328 hb->levels[level][i] = 0UL;
332 /* Same as above, this time for lastpos. */
333 if (hb_reset_elem(&hb->levels[level][i], start, last)) {
334 changed = true;
335 } else {
336 lastpos--;
339 if (level > 0 && changed) {
340 hb_reset_between(hb, level - 1, pos, lastpos);
344 void hbitmap_reset(HBitmap *hb, uint64_t start, uint64_t count)
346 /* Compute range in the last layer. */
347 uint64_t last = start + count - 1;
349 trace_hbitmap_reset(hb, start, count,
350 start >> hb->granularity, last >> hb->granularity);
352 start >>= hb->granularity;
353 last >>= hb->granularity;
355 hb->count -= hb_count_between(hb, start, last);
356 hb_reset_between(hb, HBITMAP_LEVELS - 1, start, last);
359 void hbitmap_reset_all(HBitmap *hb)
361 unsigned int i;
363 /* Same as hbitmap_alloc() except for memset() instead of malloc() */
364 for (i = HBITMAP_LEVELS; --i >= 1; ) {
365 memset(hb->levels[i], 0, hb->sizes[i] * sizeof(unsigned long));
368 hb->levels[0][0] = 1UL << (BITS_PER_LONG - 1);
369 hb->count = 0;
372 bool hbitmap_get(const HBitmap *hb, uint64_t item)
374 /* Compute position and bit in the last layer. */
375 uint64_t pos = item >> hb->granularity;
376 unsigned long bit = 1UL << (pos & (BITS_PER_LONG - 1));
378 return (hb->levels[HBITMAP_LEVELS - 1][pos >> BITS_PER_LEVEL] & bit) != 0;
381 void hbitmap_free(HBitmap *hb)
383 unsigned i;
384 for (i = HBITMAP_LEVELS; i-- > 0; ) {
385 g_free(hb->levels[i]);
387 g_free(hb);
390 HBitmap *hbitmap_alloc(uint64_t size, int granularity)
392 HBitmap *hb = g_new0(struct HBitmap, 1);
393 unsigned i;
395 assert(granularity >= 0 && granularity < 64);
396 size = (size + (1ULL << granularity) - 1) >> granularity;
397 assert(size <= ((uint64_t)1 << HBITMAP_LOG_MAX_SIZE));
399 hb->size = size;
400 hb->granularity = granularity;
401 for (i = HBITMAP_LEVELS; i-- > 0; ) {
402 size = MAX((size + BITS_PER_LONG - 1) >> BITS_PER_LEVEL, 1);
403 hb->sizes[i] = size;
404 hb->levels[i] = g_new0(unsigned long, size);
407 /* We necessarily have free bits in level 0 due to the definition
408 * of HBITMAP_LEVELS, so use one for a sentinel. This speeds up
409 * hbitmap_iter_skip_words.
411 assert(size == 1);
412 hb->levels[0][0] |= 1UL << (BITS_PER_LONG - 1);
413 return hb;
416 void hbitmap_truncate(HBitmap *hb, uint64_t size)
418 bool shrink;
419 unsigned i;
420 uint64_t num_elements = size;
421 uint64_t old;
423 /* Size comes in as logical elements, adjust for granularity. */
424 size = (size + (1ULL << hb->granularity) - 1) >> hb->granularity;
425 assert(size <= ((uint64_t)1 << HBITMAP_LOG_MAX_SIZE));
426 shrink = size < hb->size;
428 /* bit sizes are identical; nothing to do. */
429 if (size == hb->size) {
430 return;
433 /* If we're losing bits, let's clear those bits before we invalidate all of
434 * our invariants. This helps keep the bitcount consistent, and will prevent
435 * us from carrying around garbage bits beyond the end of the map.
437 if (shrink) {
438 /* Don't clear partial granularity groups;
439 * start at the first full one. */
440 uint64_t start = QEMU_ALIGN_UP(num_elements, 1 << hb->granularity);
441 uint64_t fix_count = (hb->size << hb->granularity) - start;
443 assert(fix_count);
444 hbitmap_reset(hb, start, fix_count);
447 hb->size = size;
448 for (i = HBITMAP_LEVELS; i-- > 0; ) {
449 size = MAX(BITS_TO_LONGS(size), 1);
450 if (hb->sizes[i] == size) {
451 break;
453 old = hb->sizes[i];
454 hb->sizes[i] = size;
455 hb->levels[i] = g_realloc(hb->levels[i], size * sizeof(unsigned long));
456 if (!shrink) {
457 memset(&hb->levels[i][old], 0x00,
458 (size - old) * sizeof(*hb->levels[i]));
465 * Given HBitmaps A and B, let A := A (BITOR) B.
466 * Bitmap B will not be modified.
468 * @return true if the merge was successful,
469 * false if it was not attempted.
471 bool hbitmap_merge(HBitmap *a, const HBitmap *b)
473 int i;
474 uint64_t j;
476 if ((a->size != b->size) || (a->granularity != b->granularity)) {
477 return false;
480 if (hbitmap_count(b) == 0) {
481 return true;
484 /* This merge is O(size), as BITS_PER_LONG and HBITMAP_LEVELS are constant.
485 * It may be possible to improve running times for sparsely populated maps
486 * by using hbitmap_iter_next, but this is suboptimal for dense maps.
488 for (i = HBITMAP_LEVELS - 1; i >= 0; i--) {
489 for (j = 0; j < a->sizes[i]; j++) {
490 a->levels[i][j] |= b->levels[i][j];
494 return true;