lib/axmap: Add more documentation
[fio.git] / lib / axmap.c
CommitLineData
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
38static 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
67struct 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
80struct axmap {
81 unsigned int nr_levels;
82 struct axmap_level *levels;
47d94b0b 83 uint64_t nr_bits;
7ebd796f
JA
84};
85
76dd186e 86static 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
95void 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
106void 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
121struct 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;
155err:
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
170static 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 199static 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
216struct 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 226static 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) {
242done:
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
278static 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
306void 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
319unsigned 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
345static 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 351bool 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 */
363static 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
417found:
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 */
433uint64_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}