1 /*
2 * Copyright (c) 2015-2016 Apple Inc. All rights reserved.
3 *
4 * @APPLE_OSREFERENCE_LICENSE_HEADER_START@
5 *
6 * This file contains Original Code and/or Modifications of Original Code
7 * as defined in and that are subject to the Apple Public Source License
8 * Version 2.0 (the 'License'). You may not use this file except in
9 * compliance with the License. The rights granted to you under the License
10 * may not be used to create, or enable the creation or redistribution of,
11 * unlawful or unlicensed copies of an Apple operating system, or to
12 * circumvent, violate, or enable the circumvention or violation of, any
13 * terms of an Apple operating system software license agreement.
14 *
15 * Please obtain a copy of the License at
16 * http://www.opensource.apple.com/apsl/ and read it before using this file.
17 *
18 * The Original Code and all software distributed under the License are
19 * distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER
20 * EXPRESS OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES,
21 * INCLUDING WITHOUT LIMITATION, ANY WARRANTIES OF MERCHANTABILITY,
22 * FITNESS FOR A PARTICULAR PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT.
23 * Please see the License for the specific language governing rights and
24 * limitations under the License.
25 *
26 * @APPLE_OSREFERENCE_LICENSE_HEADER_END@
27 *
28 * Bit manipulation functions
29 */
30
31 #ifndef __BITS_H__
32 #define __BITS_H__
33
34 #ifdef KERNEL
35 #include <kern/assert.h>
36 #include <kern/kalloc.h>
37 #else
38 #include <assert.h>
39 #include <stdlib.h>
40 #define kalloc_data(x, y) malloc(x)
41 #define kfree_data(x, y) free(x)
42 #endif
43 #include <stdbool.h>
44 #include <stdint.h>
45 #include <stdatomic.h>
46 #include <string.h>
47
48 #ifndef __DARWIN_UINT
49 typedef unsigned int uint;
50 #define __DARWIN_UINT
51 #endif
52
53 #define BIT(b) (1ULL << (b))
54
55 #define mask(width) (width >= 64 ? -1ULL : (BIT(width) - 1))
56 #define extract(x, shift, width) ((((uint64_t)(x)) >> (shift)) & mask(width))
57 #define bits(x, hi, lo) extract((x), (lo), (hi) - (lo) + 1)
58
59 #define bit_assign(x, b, e) ((x) = (((x) & ~BIT(b))) | ((((uint64_t) (!!(e)))) << (b)))
60 #define bit_set(x, b) ((x) |= BIT(b))
61 #define bit_clear(x, b) ((x) &= ~BIT(b))
62 #define bit_test(x, b) ((bool)((x) & BIT(b)))
63
64 inline static uint64_t
bit_ror64(uint64_t bitmap,uint n)65 bit_ror64(uint64_t bitmap, uint n)
66 {
67 return __builtin_rotateright64(bitmap, n);
68 }
69
70 inline static uint64_t
bit_rol64(uint64_t bitmap,uint n)71 bit_rol64(uint64_t bitmap, uint n)
72 {
73 return __builtin_rotateleft64(bitmap, n);
74 }
75
76 /* Non-atomically clear the bit and returns whether the bit value was changed */
77 #define bit_clear_if_set(bitmap, bit) \
78 ({ \
79 int _n = (bit); \
80 __auto_type _map = &(bitmap); \
81 bool _bit_is_set = bit_test(*_map, _n); \
82 bit_clear(*_map, _n); \
83 _bit_is_set; \
84 })
85
86 /* Non-atomically set the bit and returns whether the bit value was changed */
87 #define bit_set_if_clear(bitmap, bit) \
88 ({ \
89 int _n = (bit); \
90 __auto_type _map = &(bitmap); \
91 bool _bit_is_set = bit_test(*_map, _n); \
92 bit_set(*_map, _n); \
93 !_bit_is_set; \
94 })
95
96 /*
97 * Note on bit indexing: bit indices are offsets from the least significant bit.
98 * So the bit at index `i` would be found by `1 & (bitmap >> i)`.
99 */
100
101 /* Returns the most significant '1' bit, or -1 if all zeros */
102 inline static int
bit_first(uint64_t bitmap)103 bit_first(uint64_t bitmap)
104 {
105 return 63 - __builtin_clzg(bitmap, 64);
106 }
107
108
109 inline static int
__bit_next(uint64_t bitmap,int previous_bit)110 __bit_next(uint64_t bitmap, int previous_bit)
111 {
112 uint64_t mask = previous_bit ? mask(previous_bit) : ~0ULL;
113
114 return bit_first(bitmap & mask);
115 }
116
117 /* Returns the most significant '1' bit that is less significant than previous_bit,
118 * or -1 if no such bit exists.
119 */
120 inline static int
bit_next(uint64_t bitmap,int previous_bit)121 bit_next(uint64_t bitmap, int previous_bit)
122 {
123 if (previous_bit == 0) {
124 return -1;
125 } else {
126 return __bit_next(bitmap, previous_bit);
127 }
128 }
129
130 /* Returns the least significant '1' bit, or -1 if all zeros */
131 inline static int
lsb_first(uint64_t bitmap)132 lsb_first(uint64_t bitmap)
133 {
134 return __builtin_ctzg(bitmap, -1);
135 }
136
137 /* Returns the least significant '1' bit that is more significant than previous_bit,
138 * or -1 if no such bit exists.
139 * previous_bit may be -1, in which case this is equivalent to lsb_first()
140 */
141 inline static int
lsb_next(uint64_t bitmap,int previous_bit)142 lsb_next(uint64_t bitmap, int previous_bit)
143 {
144 uint64_t mask = mask(previous_bit + 1);
145
146 return lsb_first(bitmap & ~mask);
147 }
148
149 inline static int
bit_count(uint64_t x)150 bit_count(uint64_t x)
151 {
152 return __builtin_popcountll(x);
153 }
154
155 /* Return the highest power of 2 that is <= n, or -1 if n == 0 */
156 inline static int
bit_floor(uint64_t n)157 bit_floor(uint64_t n)
158 {
159 return bit_first(n);
160 }
161
162 /* Return the lowest power of 2 that is >= n, or -1 if n == 0 */
163 inline static int
bit_ceiling(uint64_t n)164 bit_ceiling(uint64_t n)
165 {
166 if (n == 0) {
167 return -1;
168 }
169 return bit_first(n - 1) + 1;
170 }
171
172 /* If n is a power of 2, bit_log2(n) == bit_floor(n) == bit_ceiling(n) */
173 #define bit_log2(n) bit_floor((uint64_t)(n))
174
175 typedef uint64_t bitmap_t;
176
177
178 inline static bool
atomic_bit_set(_Atomic bitmap_t * __single map,int n,int mem_order)179 atomic_bit_set(_Atomic bitmap_t *__single map, int n, int mem_order)
180 {
181 bitmap_t prev;
182 prev = __c11_atomic_fetch_or(map, BIT(n), mem_order);
183 return bit_test(prev, n);
184 }
185
186 inline static bool
atomic_bit_clear(_Atomic bitmap_t * __single map,int n,int mem_order)187 atomic_bit_clear(_Atomic bitmap_t *__single map, int n, int mem_order)
188 {
189 bitmap_t prev;
190 prev = __c11_atomic_fetch_and(map, ~BIT(n), mem_order);
191 return bit_test(prev, n);
192 }
193
194
195 #define BITMAP_LEN(n) (((uint)(n) + 63) >> 6) /* Round to 64bit bitmap_t */
196 #define BITMAP_SIZE(n) (size_t)(BITMAP_LEN(n) << 3) /* Round to 64bit bitmap_t, then convert to bytes */
197 #define bitmap_bit(n) bits(n, 5, 0)
198 #define bitmap_index(n) bits(n, 63, 6)
199
200 inline static bitmap_t * __header_indexable
bitmap_zero(bitmap_t * __header_indexable map,uint nbits)201 bitmap_zero(bitmap_t *__header_indexable map, uint nbits)
202 {
203 memset((void *)map, 0, BITMAP_SIZE(nbits));
204 return map;
205 }
206
207 inline static bitmap_t *__header_indexable
bitmap_full(bitmap_t * __header_indexable map,uint nbits)208 bitmap_full(bitmap_t *__header_indexable map, uint nbits)
209 {
210 uint i;
211
212 for (i = 0; i < bitmap_index(nbits - 1); i++) {
213 map[i] = ~((uint64_t)0);
214 }
215
216 uint nbits_filled = i * 64;
217
218 if (nbits > nbits_filled) {
219 map[i] = mask(nbits - nbits_filled);
220 }
221
222 return map;
223 }
224
225 inline static bool
bitmap_is_empty(bitmap_t * __header_indexable map,uint nbits)226 bitmap_is_empty(bitmap_t *__header_indexable map, uint nbits)
227 {
228 for (uint i = 0; i < BITMAP_LEN(nbits); i++) {
229 if (map[i]) {
230 return false;
231 }
232 }
233
234 return true;
235 }
236
237 inline static bool
bitmap_is_full(bitmap_t * __header_indexable map,uint nbits)238 bitmap_is_full(bitmap_t *__header_indexable map, uint nbits)
239 {
240 uint i;
241
242 for (i = 0; i < bitmap_index(nbits - 1); i++) {
243 if (map[i] != ~((uint64_t)0)) {
244 return false;
245 }
246 }
247
248 uint nbits_filled = i * 64;
249
250 if (nbits > nbits_filled) {
251 return map[i] == mask(nbits - nbits_filled);
252 }
253
254 return true;
255 }
256
257 inline static bitmap_t *__header_indexable
bitmap_alloc(uint nbits)258 bitmap_alloc(uint nbits)
259 {
260 assert(nbits > 0);
261 return (bitmap_t *)kalloc_data(BITMAP_SIZE(nbits), Z_WAITOK_ZERO);
262 }
263
264 inline static void
bitmap_free(bitmap_t * map,uint nbits)265 bitmap_free(bitmap_t *map, uint nbits)
266 {
267 assert(nbits > 0);
268 kfree_data(map, BITMAP_SIZE(nbits));
269 }
270
271 inline static void
bitmap_set(bitmap_t * __header_indexable map,uint n)272 bitmap_set(bitmap_t *__header_indexable map, uint n)
273 {
274 bit_set(map[bitmap_index(n)], bitmap_bit(n));
275 }
276
277 inline static void
bitmap_clear(bitmap_t * __header_indexable map,uint n)278 bitmap_clear(bitmap_t *__header_indexable map, uint n)
279 {
280 bit_clear(map[bitmap_index(n)], bitmap_bit(n));
281 }
282
283 inline static bool
atomic_bitmap_set(_Atomic bitmap_t * __header_indexable map,uint n,int mem_order)284 atomic_bitmap_set(_Atomic bitmap_t *__header_indexable map, uint n, int mem_order)
285 {
286 return atomic_bit_set(&map[bitmap_index(n)], bitmap_bit(n), mem_order);
287 }
288
289 inline static bool
atomic_bitmap_clear(_Atomic bitmap_t * __header_indexable map,uint n,int mem_order)290 atomic_bitmap_clear(_Atomic bitmap_t *__header_indexable map, uint n, int mem_order)
291 {
292 return atomic_bit_clear(&map[bitmap_index(n)], bitmap_bit(n), mem_order);
293 }
294
295 inline static bool
bitmap_test(const bitmap_t * __header_indexable map,uint n)296 bitmap_test(const bitmap_t *__header_indexable map, uint n)
297 {
298 return bit_test(map[bitmap_index(n)], bitmap_bit(n));
299 }
300
301 inline static int
bitmap_first(bitmap_t * __header_indexable map,uint nbits)302 bitmap_first(bitmap_t *__header_indexable map, uint nbits)
303 {
304 for (int i = (int)bitmap_index(nbits - 1); i >= 0; i--) {
305 if (map[i] == 0) {
306 continue;
307 }
308 return (i << 6) + bit_first(map[i]);
309 }
310
311 return -1;
312 }
313
314 inline static void
bitmap_not(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in,uint nbits)315 bitmap_not(
316 bitmap_t *__header_indexable out,
317 const bitmap_t *__header_indexable in,
318 uint nbits)
319 {
320 uint i;
321
322 for (i = 0; i < bitmap_index(nbits - 1); i++) {
323 out[i] = ~in[i];
324 }
325
326 uint nbits_complete = i * 64;
327
328 if (nbits > nbits_complete) {
329 out[i] = ~in[i] & mask(nbits - nbits_complete);
330 }
331 }
332
333 inline static void
bitmap_and(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)334 bitmap_and(
335 bitmap_t *__header_indexable out,
336 const bitmap_t *__header_indexable in1,
337 const bitmap_t *__header_indexable in2,
338 uint nbits)
339 {
340 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
341 out[i] = in1[i] & in2[i];
342 }
343 }
344
345 inline static void
bitmap_and_not(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)346 bitmap_and_not(
347 bitmap_t *__header_indexable out,
348 const bitmap_t *__header_indexable in1,
349 const bitmap_t *__header_indexable in2,
350 uint nbits)
351 {
352 uint i;
353
354 for (i = 0; i <= bitmap_index(nbits - 1); i++) {
355 out[i] = in1[i] & ~in2[i];
356 }
357 }
358
359 inline static void
bitmap_or(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)360 bitmap_or(
361 bitmap_t *__header_indexable out,
362 const bitmap_t *__header_indexable in1,
363 const bitmap_t *__header_indexable in2,
364 uint nbits)
365 {
366 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
367 out[i] = in1[i] | in2[i];
368 }
369 }
370
371 inline static bool
bitmap_equal(const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)372 bitmap_equal(
373 const bitmap_t *__header_indexable in1,
374 const bitmap_t *__header_indexable in2,
375 uint nbits)
376 {
377 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
378 if (in1[i] != in2[i]) {
379 return false;
380 }
381 }
382
383 return true;
384 }
385
386 inline static int
bitmap_and_not_mask_first(bitmap_t * __header_indexable map,const bitmap_t * __header_indexable mask,uint nbits)387 bitmap_and_not_mask_first(
388 bitmap_t *__header_indexable map,
389 const bitmap_t *__header_indexable mask,
390 uint nbits)
391 {
392 for (int i = (int)bitmap_index(nbits - 1); i >= 0; i--) {
393 if ((map[i] & ~mask[i]) == 0) {
394 continue;
395 }
396 return (i << 6) + bit_first(map[i] & ~mask[i]);
397 }
398
399 return -1;
400 }
401
402 inline static int
bitmap_lsb_first(const bitmap_t * __header_indexable map,uint nbits)403 bitmap_lsb_first(const bitmap_t *__header_indexable map, uint nbits)
404 {
405 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
406 if (map[i] == 0) {
407 continue;
408 }
409 return (int)((i << 6) + (uint32_t)lsb_first(map[i]));
410 }
411
412 return -1;
413 }
414
415 inline static int
bitmap_next(const bitmap_t * __header_indexable map,uint prev)416 bitmap_next(const bitmap_t *__header_indexable map, uint prev)
417 {
418 if (prev == 0) {
419 return -1;
420 }
421
422 int64_t i = bitmap_index(prev - 1);
423 int res = __bit_next(map[i], bits(prev, 5, 0));
424 if (res >= 0) {
425 return (int)(res + (i << 6));
426 }
427
428 for (i = i - 1; i >= 0; i--) {
429 if (map[i] == 0) {
430 continue;
431 }
432 return (int)((i << 6) + bit_first(map[i]));
433 }
434
435 return -1;
436 }
437
438 inline static int
bitmap_lsb_next(const bitmap_t * __header_indexable map,uint nbits,uint prev)439 bitmap_lsb_next(const bitmap_t *__header_indexable map, uint nbits, uint prev)
440 {
441 if ((prev + 1) >= nbits) {
442 return -1;
443 }
444
445 uint64_t i = bitmap_index(prev + 1);
446 uint b = bits((prev + 1), 5, 0) - 1;
447 int32_t res = lsb_next((uint64_t)map[i], (int)b);
448 if (res >= 0) {
449 return (int)((uint64_t)res + (i << 6));
450 }
451
452 for (i = i + 1; i <= bitmap_index(nbits - 1); i++) {
453 if (map[i] == 0) {
454 continue;
455 }
456 return (int)((i << 6) + (uint64_t)lsb_first(map[i]));
457 }
458
459 return -1;
460 }
461
462 #endif
463