Commit | Line | Data |
---|---|---|
7ebd796f JA |
1 | /* |
2 | * Bitmap of bitmaps, where each layer is number-of-bits-per-word smaller than | |
3 | * the previous. Hence an 'axmap', since we axe each previous layer into a | |
4 | * much smaller piece. I swear, that is why it's named like that. It has | |
5 | * nothing to do with anything remotely narcissistic. | |
6 | * | |
7 | * A set bit at layer N indicates a full word at layer N-1, and so forth. As | |
de8f6de9 | 8 | * the bitmap becomes progressively more full, checking for existence |
7ebd796f JA |
9 | * becomes cheaper (since fewer layers are walked, making it a lot more |
10 | * cache friendly) and locating the next free space likewise. | |
11 | * | |
12 | * Axmaps get pretty close to optimal (1 bit per block) space usage, since | |
13 | * layers quickly diminish in size. Doing the size math is straight forward, | |
14 | * since we have log64(blocks) layers of maps. For 20000 blocks, overhead | |
15 | * is roughly 1.9%, or 1.019 bits per block. The number quickly converges | |
16 | * towards 1.0158, or 1.58% of overhead. | |
17 | */ | |
18 | #include <stdio.h> | |
19 | #include <stdlib.h> | |
20 | #include <string.h> | |
21 | #include <assert.h> | |
22 | ||
23 | #include "../arch/arch.h" | |
24 | #include "axmap.h" | |
7ebd796f JA |
25 | #include "../minmax.h" |
26 | ||
27 | #if BITS_PER_LONG == 64 | |
28 | #define UNIT_SHIFT 6 | |
29 | #elif BITS_PER_LONG == 32 | |
30 | #define UNIT_SHIFT 5 | |
31 | #else | |
32 | #error "Number of arch bits unknown" | |
33 | #endif | |
34 | ||
e6f735f0 | 35 | #define BLOCKS_PER_UNIT (1U << UNIT_SHIFT) |
7ebd796f JA |
36 | #define BLOCKS_PER_UNIT_MASK (BLOCKS_PER_UNIT - 1) |
37 | ||
76dd186e JA |
38 | static const unsigned long bit_masks[] = { |
39 | 0x0000000000000000, 0x0000000000000001, 0x0000000000000003, 0x0000000000000007, | |
40 | 0x000000000000000f, 0x000000000000001f, 0x000000000000003f, 0x000000000000007f, | |
41 | 0x00000000000000ff, 0x00000000000001ff, 0x00000000000003ff, 0x00000000000007ff, | |
42 | 0x0000000000000fff, 0x0000000000001fff, 0x0000000000003fff, 0x0000000000007fff, | |
43 | 0x000000000000ffff, 0x000000000001ffff, 0x000000000003ffff, 0x000000000007ffff, | |
44 | 0x00000000000fffff, 0x00000000001fffff, 0x00000000003fffff, 0x00000000007fffff, | |
45 | 0x0000000000ffffff, 0x0000000001ffffff, 0x0000000003ffffff, 0x0000000007ffffff, | |
46 | 0x000000000fffffff, 0x000000001fffffff, 0x000000003fffffff, 0x000000007fffffff, | |
47 | 0x00000000ffffffff, | |
48 | #if BITS_PER_LONG == 64 | |
49 | 0x00000001ffffffff, 0x00000003ffffffff, 0x00000007ffffffff, 0x0000000fffffffff, | |
50 | 0x0000001fffffffff, 0x0000003fffffffff, 0x0000007fffffffff, 0x000000ffffffffff, | |
51 | 0x000001ffffffffff, 0x000003ffffffffff, 0x000007ffffffffff, 0x00000fffffffffff, | |
52 | 0x00001fffffffffff, 0x00003fffffffffff, 0x00007fffffffffff, 0x0000ffffffffffff, | |
53 | 0x0001ffffffffffff, 0x0003ffffffffffff, 0x0007ffffffffffff, 0x000fffffffffffff, | |
54 | 0x001fffffffffffff, 0x003fffffffffffff, 0x007fffffffffffff, 0x00ffffffffffffff, | |
55 | 0x01ffffffffffffff, 0x03ffffffffffffff, 0x07ffffffffffffff, 0x0fffffffffffffff, | |
56 | 0x1fffffffffffffff, 0x3fffffffffffffff, 0x7fffffffffffffff, 0xffffffffffffffff | |
57 | #endif | |
58 | }; | |
59 | ||
c7143018 BVA |
60 | /** |
61 | * struct axmap_level - a bitmap used to implement struct axmap | |
62 | * @level: Level index. Each map has at least one level with index zero. The | |
63 | * higher the level index, the fewer bits a struct axmap_level contains. | |
64 | * @map_size: Number of elements of the @map array. | |
65 | * @map: A bitmap with @map_size elements. | |
66 | */ | |
7ebd796f JA |
67 | struct axmap_level { |
68 | int level; | |
69 | unsigned long map_size; | |
70 | unsigned long *map; | |
71 | }; | |
72 | ||
c7143018 BVA |
73 | /** |
74 | * struct axmap - a set that can store numbers 0 .. @nr_bits - 1 | |
75 | * @nr_level: Number of elements of the @levels array. | |
76 | * @levels: struct axmap_level array in which lower levels contain more bits | |
77 | * than higher levels. | |
78 | * @nr_bits: One more than the highest value stored in the set. | |
79 | */ | |
7ebd796f JA |
80 | struct axmap { |
81 | unsigned int nr_levels; | |
82 | struct axmap_level *levels; | |
47d94b0b | 83 | uint64_t nr_bits; |
7ebd796f JA |
84 | }; |
85 | ||
76dd186e | 86 | static inline unsigned long ulog64(unsigned long val, unsigned int log) |
7ebd796f JA |
87 | { |
88 | while (log-- && val) | |
89 | val >>= UNIT_SHIFT; | |
90 | ||
91 | return val; | |
92 | } | |
93 | ||
c7143018 | 94 | /* Remove all elements from the @axmap set */ |
7ebd796f JA |
95 | void axmap_reset(struct axmap *axmap) |
96 | { | |
97 | int i; | |
98 | ||
99 | for (i = 0; i < axmap->nr_levels; i++) { | |
100 | struct axmap_level *al = &axmap->levels[i]; | |
101 | ||
102 | memset(al->map, 0, al->map_size * sizeof(unsigned long)); | |
103 | } | |
104 | } | |
105 | ||
106 | void axmap_free(struct axmap *axmap) | |
107 | { | |
108 | unsigned int i; | |
109 | ||
110 | if (!axmap) | |
111 | return; | |
112 | ||
113 | for (i = 0; i < axmap->nr_levels; i++) | |
aded30f7 | 114 | free(axmap->levels[i].map); |
7ebd796f | 115 | |
aded30f7 JA |
116 | free(axmap->levels); |
117 | free(axmap); | |
7ebd796f JA |
118 | } |
119 | ||
c7143018 | 120 | /* Allocate memory for a set that can store the numbers 0 .. @nr_bits - 1. */ |
7ebd796f JA |
121 | struct axmap *axmap_new(unsigned long nr_bits) |
122 | { | |
123 | struct axmap *axmap; | |
124 | unsigned int i, levels; | |
125 | ||
aded30f7 | 126 | axmap = malloc(sizeof(*axmap)); |
7ebd796f JA |
127 | if (!axmap) |
128 | return NULL; | |
129 | ||
130 | levels = 1; | |
131 | i = (nr_bits + BLOCKS_PER_UNIT - 1) >> UNIT_SHIFT; | |
132 | while (i > 1) { | |
133 | i = (i + BLOCKS_PER_UNIT - 1) >> UNIT_SHIFT; | |
134 | levels++; | |
135 | } | |
136 | ||
137 | axmap->nr_levels = levels; | |
2404b2c3 | 138 | axmap->levels = calloc(axmap->nr_levels, sizeof(struct axmap_level)); |
47d94b0b | 139 | axmap->nr_bits = nr_bits; |
7ebd796f JA |
140 | |
141 | for (i = 0; i < axmap->nr_levels; i++) { | |
142 | struct axmap_level *al = &axmap->levels[i]; | |
143 | ||
144 | al->level = i; | |
145 | al->map_size = (nr_bits + BLOCKS_PER_UNIT - 1) >> UNIT_SHIFT; | |
aded30f7 | 146 | al->map = malloc(al->map_size * sizeof(unsigned long)); |
7ebd796f JA |
147 | if (!al->map) |
148 | goto err; | |
149 | ||
150 | nr_bits = (nr_bits + BLOCKS_PER_UNIT - 1) >> UNIT_SHIFT; | |
151 | } | |
152 | ||
153 | axmap_reset(axmap); | |
154 | return axmap; | |
155 | err: | |
156 | for (i = 0; i < axmap->nr_levels; i++) | |
157 | if (axmap->levels[i].map) | |
aded30f7 | 158 | free(axmap->levels[i].map); |
7ebd796f | 159 | |
aded30f7 | 160 | free(axmap->levels); |
bb1116fe | 161 | free(axmap); |
7ebd796f JA |
162 | return NULL; |
163 | } | |
164 | ||
c7143018 BVA |
165 | /* |
166 | * Call @func for each level, starting at level zero, until a level is found | |
167 | * for which @func returns true. Return false if none of the @func calls | |
168 | * returns true. | |
169 | */ | |
e39c0676 JA |
170 | static bool axmap_handler(struct axmap *axmap, uint64_t bit_nr, |
171 | bool (*func)(struct axmap_level *, unsigned long, unsigned int, | |
7ebd796f JA |
172 | void *), void *data) |
173 | { | |
174 | struct axmap_level *al; | |
edfca254 | 175 | uint64_t index = bit_nr; |
7ebd796f JA |
176 | int i; |
177 | ||
178 | for (i = 0; i < axmap->nr_levels; i++) { | |
7ebd796f JA |
179 | unsigned long offset = index >> UNIT_SHIFT; |
180 | unsigned int bit = index & BLOCKS_PER_UNIT_MASK; | |
181 | ||
182 | al = &axmap->levels[i]; | |
183 | ||
184 | if (func(al, offset, bit, data)) | |
e39c0676 | 185 | return true; |
edfca254 JA |
186 | |
187 | if (index) | |
188 | index >>= UNIT_SHIFT; | |
7ebd796f JA |
189 | } |
190 | ||
e39c0676 | 191 | return false; |
7ebd796f JA |
192 | } |
193 | ||
c7143018 BVA |
194 | /* |
195 | * Call @func for each level, starting at the highest level, until a level is | |
196 | * found for which @func returns true. Return false if none of the @func calls | |
197 | * returns true. | |
198 | */ | |
e39c0676 | 199 | static bool axmap_handler_topdown(struct axmap *axmap, uint64_t bit_nr, |
c406445a | 200 | bool (*func)(struct axmap_level *, unsigned long, unsigned int, void *)) |
7ebd796f | 201 | { |
76dd186e | 202 | int i; |
7ebd796f JA |
203 | |
204 | for (i = axmap->nr_levels - 1; i >= 0; i--) { | |
76dd186e | 205 | unsigned long index = ulog64(bit_nr, i); |
7ebd796f JA |
206 | unsigned long offset = index >> UNIT_SHIFT; |
207 | unsigned int bit = index & BLOCKS_PER_UNIT_MASK; | |
208 | ||
41264298 | 209 | if (func(&axmap->levels[i], offset, bit, NULL)) |
e39c0676 | 210 | return true; |
7ebd796f JA |
211 | } |
212 | ||
e39c0676 | 213 | return false; |
7ebd796f JA |
214 | } |
215 | ||
7ebd796f JA |
216 | struct axmap_set_data { |
217 | unsigned int nr_bits; | |
218 | unsigned int set_bits; | |
7ebd796f JA |
219 | }; |
220 | ||
c7143018 BVA |
221 | /* |
222 | * Set at most @__data->nr_bits bits in @al at offset @offset. Do not exceed | |
223 | * the boundary of the element at offset @offset. Return the number of bits | |
224 | * that have been set in @__data->set_bits if @al->level == 0. | |
225 | */ | |
e39c0676 | 226 | static bool axmap_set_fn(struct axmap_level *al, unsigned long offset, |
7ebd796f JA |
227 | unsigned int bit, void *__data) |
228 | { | |
229 | struct axmap_set_data *data = __data; | |
230 | unsigned long mask, overlap; | |
231 | unsigned int nr_bits; | |
232 | ||
233 | nr_bits = min(data->nr_bits, BLOCKS_PER_UNIT - bit); | |
234 | ||
235 | mask = bit_masks[nr_bits] << bit; | |
236 | ||
237 | /* | |
238 | * Mask off any potential overlap, only sets contig regions | |
239 | */ | |
240 | overlap = al->map[offset] & mask; | |
bd71edce JA |
241 | if (overlap == mask) { |
242 | done: | |
243 | data->set_bits = 0; | |
e39c0676 | 244 | return true; |
bd71edce | 245 | } |
7ebd796f | 246 | |
8cd5a2fd JA |
247 | if (overlap) { |
248 | const int __bit = ffz(~overlap); | |
7ebd796f | 249 | |
c2e48e0e JA |
250 | nr_bits = __bit - bit; |
251 | if (!nr_bits) | |
bd71edce | 252 | goto done; |
8cd5a2fd | 253 | |
8cd5a2fd | 254 | mask = bit_masks[nr_bits] << bit; |
7ebd796f JA |
255 | } |
256 | ||
257 | assert(mask); | |
258 | assert(!(al->map[offset] & mask)); | |
7ebd796f JA |
259 | al->map[offset] |= mask; |
260 | ||
261 | if (!al->level) | |
262 | data->set_bits = nr_bits; | |
263 | ||
c7143018 | 264 | /* For the next level */ |
7ebd796f | 265 | data->nr_bits = 1; |
c7143018 | 266 | |
7ebd796f JA |
267 | return al->map[offset] != -1UL; |
268 | } | |
269 | ||
c7143018 BVA |
270 | /* |
271 | * Set up to @data->nr_bits starting from @bit_nr in @axmap. Start at | |
272 | * @bit_nr. If that bit has not yet been set then set it and continue until | |
273 | * either @data->nr_bits have been set or a 1 bit is found. Store the number | |
274 | * of bits that have been set in @data->set_bits. It is guaranteed that all | |
275 | * bits that have been requested to set fit in the same unsigned long word of | |
276 | * level 0 of @axmap. | |
277 | */ | |
7ebd796f JA |
278 | static void __axmap_set(struct axmap *axmap, uint64_t bit_nr, |
279 | struct axmap_set_data *data) | |
280 | { | |
281 | unsigned int set_bits, nr_bits = data->nr_bits; | |
282 | ||
47d94b0b JA |
283 | if (bit_nr > axmap->nr_bits) |
284 | return; | |
285 | else if (bit_nr + nr_bits > axmap->nr_bits) | |
286 | nr_bits = axmap->nr_bits - bit_nr; | |
287 | ||
7ebd796f JA |
288 | set_bits = 0; |
289 | while (nr_bits) { | |
290 | axmap_handler(axmap, bit_nr, axmap_set_fn, data); | |
291 | set_bits += data->set_bits; | |
292 | ||
0bfdf9f1 JA |
293 | if (!data->set_bits || |
294 | data->set_bits != (BLOCKS_PER_UNIT - nr_bits)) | |
7ebd796f JA |
295 | break; |
296 | ||
297 | nr_bits -= data->set_bits; | |
298 | bit_nr += data->set_bits; | |
299 | ||
300 | data->nr_bits = nr_bits; | |
7ebd796f JA |
301 | } |
302 | ||
303 | data->set_bits = set_bits; | |
304 | } | |
305 | ||
306 | void axmap_set(struct axmap *axmap, uint64_t bit_nr) | |
307 | { | |
308 | struct axmap_set_data data = { .nr_bits = 1, }; | |
309 | ||
310 | __axmap_set(axmap, bit_nr, &data); | |
311 | } | |
312 | ||
c7143018 BVA |
313 | /* |
314 | * Set up to @nr_bits starting from @bit in @axmap. Start at @bit. If that | |
315 | * bit has not yet been set then set it and continue until either @nr_bits | |
316 | * have been set or a 1 bit is found. Return the number of bits that have been | |
317 | * set. | |
318 | */ | |
e39c0676 JA |
319 | unsigned int axmap_set_nr(struct axmap *axmap, uint64_t bit_nr, |
320 | unsigned int nr_bits) | |
7ebd796f | 321 | { |
0bfdf9f1 JA |
322 | unsigned int set_bits = 0; |
323 | ||
324 | do { | |
09d6bf09 | 325 | struct axmap_set_data data = { .nr_bits = nr_bits, }; |
0bfdf9f1 JA |
326 | unsigned int max_bits, this_set; |
327 | ||
328 | max_bits = BLOCKS_PER_UNIT - (bit_nr & BLOCKS_PER_UNIT_MASK); | |
bd71edce | 329 | if (nr_bits > max_bits) |
0bfdf9f1 JA |
330 | data.nr_bits = max_bits; |
331 | ||
332 | this_set = data.nr_bits; | |
333 | __axmap_set(axmap, bit_nr, &data); | |
334 | set_bits += data.set_bits; | |
335 | if (data.set_bits != this_set) | |
336 | break; | |
7ebd796f | 337 | |
0bfdf9f1 JA |
338 | nr_bits -= data.set_bits; |
339 | bit_nr += data.set_bits; | |
340 | } while (nr_bits); | |
341 | ||
342 | return set_bits; | |
7ebd796f JA |
343 | } |
344 | ||
e39c0676 JA |
345 | static bool axmap_isset_fn(struct axmap_level *al, unsigned long offset, |
346 | unsigned int bit, void *unused) | |
7ebd796f JA |
347 | { |
348 | return (al->map[offset] & (1UL << bit)) != 0; | |
349 | } | |
350 | ||
e39c0676 | 351 | bool axmap_isset(struct axmap *axmap, uint64_t bit_nr) |
7ebd796f | 352 | { |
ac569176 | 353 | if (bit_nr <= axmap->nr_bits) |
c406445a | 354 | return axmap_handler_topdown(axmap, bit_nr, axmap_isset_fn); |
47d94b0b | 355 | |
e39c0676 | 356 | return false; |
7ebd796f JA |
357 | } |
358 | ||
b9304c5b MK |
359 | /* |
360 | * Find the first free bit that is at least as large as bit_nr. Return | |
361 | * -1 if no free bit is found before the end of the map. | |
362 | */ | |
363 | static uint64_t axmap_find_first_free(struct axmap *axmap, uint64_t bit_nr) | |
7ebd796f | 364 | { |
731ef4c7 | 365 | int i; |
b9304c5b MK |
366 | unsigned long temp; |
367 | unsigned int bit; | |
368 | uint64_t offset, base_index, index; | |
369 | struct axmap_level *al; | |
7ebd796f | 370 | |
b9304c5b MK |
371 | index = 0; |
372 | for (i = axmap->nr_levels - 1; i >= 0; i--) { | |
373 | al = &axmap->levels[i]; | |
7ebd796f | 374 | |
b9304c5b MK |
375 | /* Shift previously calculated index for next level */ |
376 | index <<= UNIT_SHIFT; | |
377 | ||
378 | /* | |
379 | * Start from an index that's at least as large as the | |
380 | * originally passed in bit number. | |
381 | */ | |
382 | base_index = bit_nr >> (UNIT_SHIFT * i); | |
383 | if (index < base_index) | |
384 | index = base_index; | |
385 | ||
386 | /* Get the offset and bit for this level */ | |
387 | offset = index >> UNIT_SHIFT; | |
388 | bit = index & BLOCKS_PER_UNIT_MASK; | |
389 | ||
390 | /* | |
391 | * If the previous level had unused bits in its last | |
392 | * word, the offset could be bigger than the map at | |
393 | * this level. That means no free bits exist before the | |
394 | * end of the map, so return -1. | |
395 | */ | |
396 | if (offset >= al->map_size) | |
397 | return -1ULL; | |
398 | ||
399 | /* Check the first word starting with the specific bit */ | |
400 | temp = ~bit_masks[bit] & ~al->map[offset]; | |
401 | if (temp) | |
402 | goto found; | |
403 | ||
404 | /* | |
405 | * No free bit in the first word, so iterate | |
406 | * looking for a word with one or more free bits. | |
407 | */ | |
408 | for (offset++; offset < al->map_size; offset++) { | |
409 | temp = ~al->map[offset]; | |
410 | if (temp) | |
411 | goto found; | |
7ebd796f | 412 | } |
47d94b0b | 413 | |
b9304c5b MK |
414 | /* Did not find a free bit */ |
415 | return -1ULL; | |
7ebd796f | 416 | |
b9304c5b MK |
417 | found: |
418 | /* Compute the index of the free bit just found */ | |
419 | index = (offset << UNIT_SHIFT) + ffz(~temp); | |
7ebd796f JA |
420 | } |
421 | ||
b9304c5b MK |
422 | /* If found an unused bit in the last word of level 0, return -1 */ |
423 | if (index >= axmap->nr_bits) | |
424 | return -1ULL; | |
425 | ||
426 | return index; | |
7ebd796f JA |
427 | } |
428 | ||
429 | /* | |
430 | * 'bit_nr' is already set. Find the next free bit after this one. | |
b9304c5b | 431 | * Return -1 if no free bits found. |
7ebd796f JA |
432 | */ |
433 | uint64_t axmap_next_free(struct axmap *axmap, uint64_t bit_nr) | |
434 | { | |
53737ae0 | 435 | uint64_t ret; |
b9304c5b MK |
436 | uint64_t next_bit = bit_nr + 1; |
437 | unsigned long temp; | |
438 | uint64_t offset; | |
439 | unsigned int bit; | |
7ebd796f | 440 | |
b9304c5b MK |
441 | if (bit_nr >= axmap->nr_bits) |
442 | return -1ULL; | |
12bde369 | 443 | |
b9304c5b MK |
444 | /* If at the end of the map, wrap-around */ |
445 | if (next_bit == axmap->nr_bits) | |
446 | next_bit = 0; | |
7ebd796f | 447 | |
b9304c5b MK |
448 | offset = next_bit >> UNIT_SHIFT; |
449 | bit = next_bit & BLOCKS_PER_UNIT_MASK; | |
7ebd796f | 450 | |
53737ae0 | 451 | /* |
b9304c5b MK |
452 | * As an optimization, do a quick check for a free bit |
453 | * in the current word at level 0. If not found, do | |
454 | * a topdown search. | |
53737ae0 | 455 | */ |
b9304c5b MK |
456 | temp = ~bit_masks[bit] & ~axmap->levels[0].map[offset]; |
457 | if (temp) { | |
458 | ret = (offset << UNIT_SHIFT) + ffz(~temp); | |
53737ae0 | 459 | |
b9304c5b MK |
460 | /* Might have found an unused bit at level 0 */ |
461 | if (ret >= axmap->nr_bits) | |
462 | ret = -1ULL; | |
463 | } else | |
464 | ret = axmap_find_first_free(axmap, next_bit); | |
465 | ||
466 | /* | |
467 | * If there are no free bits starting at next_bit and going | |
468 | * to the end of the map, wrap around by searching again | |
469 | * starting at bit 0. | |
470 | */ | |
471 | if (ret == -1ULL && next_bit != 0) | |
472 | ret = axmap_find_first_free(axmap, 0); | |
473 | return ret; | |
7ebd796f | 474 | } |