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_set(x, b) ((x) |= BIT(b))
60 #define bit_clear(x, b) ((x) &= ~BIT(b))
61 #define bit_test(x, b) ((bool)((x) & BIT(b)))
62
63 inline static uint64_t
bit_ror64(uint64_t bitmap,uint n)64 bit_ror64(uint64_t bitmap, uint n)
65 {
66 #if defined(__arm64__)
67 uint64_t result;
68 uint64_t _n = (uint64_t)n;
69 asm volatile ("ror %0, %1, %2" : "=r" (result) : "r" (bitmap), "r" (_n));
70 return result;
71 #else
72 n = n & 63;
73 return (bitmap >> n) | (bitmap << (64 - n));
74 #endif
75 }
76
77 inline static uint64_t
bit_rol64(uint64_t bitmap,uint n)78 bit_rol64(uint64_t bitmap, uint n)
79 {
80 #if defined(__arm64__)
81 return bit_ror64(bitmap, 64U - n);
82 #else
83 n = n & 63;
84 return (bitmap << n) | (bitmap >> (64 - n));
85 #endif
86 }
87
88 /* Non-atomically clear the bit and returns whether the bit value was changed */
89 #define bit_clear_if_set(bitmap, bit) \
90 ({ \
91 int _n = (bit); \
92 __auto_type _map = &(bitmap); \
93 bool _bit_is_set = bit_test(*_map, _n); \
94 bit_clear(*_map, _n); \
95 _bit_is_set; \
96 })
97
98 /* Non-atomically set the bit and returns whether the bit value was changed */
99 #define bit_set_if_clear(bitmap, bit) \
100 ({ \
101 int _n = (bit); \
102 __auto_type _map = &(bitmap); \
103 bool _bit_is_set = bit_test(*_map, _n); \
104 bit_set(*_map, _n); \
105 !_bit_is_set; \
106 })
107
108 /* Returns the most significant '1' bit, or -1 if all zeros */
109 inline static int
bit_first(uint64_t bitmap)110 bit_first(uint64_t bitmap)
111 {
112 #if defined(__arm64__)
113 int64_t result;
114 asm volatile ("clz %0, %1" : "=r" (result) : "r" (bitmap));
115 return 63 - (int)result;
116 #else
117 return (bitmap == 0) ? -1 : 63 - __builtin_clzll(bitmap);
118 #endif
119 }
120
121
122 inline static int
__bit_next(uint64_t bitmap,int previous_bit)123 __bit_next(uint64_t bitmap, int previous_bit)
124 {
125 uint64_t mask = previous_bit ? mask(previous_bit) : ~0ULL;
126
127 return bit_first(bitmap & mask);
128 }
129
130 /* Returns the most significant '1' bit that is less significant than previous_bit,
131 * or -1 if no such bit exists.
132 */
133 inline static int
bit_next(uint64_t bitmap,int previous_bit)134 bit_next(uint64_t bitmap, int previous_bit)
135 {
136 if (previous_bit == 0) {
137 return -1;
138 } else {
139 return __bit_next(bitmap, previous_bit);
140 }
141 }
142
143 /* Returns the least significant '1' bit, or -1 if all zeros */
144 inline static int
lsb_first(uint64_t bitmap)145 lsb_first(uint64_t bitmap)
146 {
147 return __builtin_ffsll((long long)bitmap) - 1;
148 }
149
150 /* Returns the least significant '1' bit that is more significant than previous_bit,
151 * or -1 if no such bit exists.
152 * previous_bit may be -1, in which case this is equivalent to lsb_first()
153 */
154 inline static int
lsb_next(uint64_t bitmap,int previous_bit)155 lsb_next(uint64_t bitmap, int previous_bit)
156 {
157 uint64_t mask = mask(previous_bit + 1);
158
159 return lsb_first(bitmap & ~mask);
160 }
161
162 inline static int
bit_count(uint64_t x)163 bit_count(uint64_t x)
164 {
165 return __builtin_popcountll(x);
166 }
167
168 /* Return the highest power of 2 that is <= n, or -1 if n == 0 */
169 inline static int
bit_floor(uint64_t n)170 bit_floor(uint64_t n)
171 {
172 return bit_first(n);
173 }
174
175 /* Return the lowest power of 2 that is >= n, or -1 if n == 0 */
176 inline static int
bit_ceiling(uint64_t n)177 bit_ceiling(uint64_t n)
178 {
179 if (n == 0) {
180 return -1;
181 }
182 return bit_first(n - 1) + 1;
183 }
184
185 /* If n is a power of 2, bit_log2(n) == bit_floor(n) == bit_ceiling(n) */
186 #define bit_log2(n) bit_floor((uint64_t)(n))
187
188 typedef uint64_t bitmap_t;
189
190
191 inline static bool
atomic_bit_set(_Atomic bitmap_t * __single map,int n,int mem_order)192 atomic_bit_set(_Atomic bitmap_t *__single map, int n, int mem_order)
193 {
194 bitmap_t prev;
195 prev = __c11_atomic_fetch_or(map, BIT(n), mem_order);
196 return bit_test(prev, n);
197 }
198
199 inline static bool
atomic_bit_clear(_Atomic bitmap_t * __single map,int n,int mem_order)200 atomic_bit_clear(_Atomic bitmap_t *__single map, int n, int mem_order)
201 {
202 bitmap_t prev;
203 prev = __c11_atomic_fetch_and(map, ~BIT(n), mem_order);
204 return bit_test(prev, n);
205 }
206
207
208 #define BITMAP_LEN(n) (((uint)(n) + 63) >> 6) /* Round to 64bit bitmap_t */
209 #define BITMAP_SIZE(n) (size_t)(BITMAP_LEN(n) << 3) /* Round to 64bit bitmap_t, then convert to bytes */
210 #define bitmap_bit(n) bits(n, 5, 0)
211 #define bitmap_index(n) bits(n, 63, 6)
212
213 inline static bitmap_t * __header_indexable
bitmap_zero(bitmap_t * __header_indexable map,uint nbits)214 bitmap_zero(bitmap_t *__header_indexable map, uint nbits)
215 {
216 memset((void *)map, 0, BITMAP_SIZE(nbits));
217 return map;
218 }
219
220 inline static bitmap_t *__header_indexable
bitmap_full(bitmap_t * __header_indexable map,uint nbits)221 bitmap_full(bitmap_t *__header_indexable map, uint nbits)
222 {
223 uint i;
224
225 for (i = 0; i < bitmap_index(nbits - 1); i++) {
226 map[i] = ~((uint64_t)0);
227 }
228
229 uint nbits_filled = i * 64;
230
231 if (nbits > nbits_filled) {
232 map[i] = mask(nbits - nbits_filled);
233 }
234
235 return map;
236 }
237
238 inline static bool
bitmap_is_empty(bitmap_t * __header_indexable map,uint nbits)239 bitmap_is_empty(bitmap_t *__header_indexable map, uint nbits)
240 {
241 for (uint i = 0; i < BITMAP_LEN(nbits); i++) {
242 if (map[i]) {
243 return false;
244 }
245 }
246
247 return true;
248 }
249
250 inline static bool
bitmap_is_full(bitmap_t * __header_indexable map,uint nbits)251 bitmap_is_full(bitmap_t *__header_indexable map, uint nbits)
252 {
253 uint i;
254
255 for (i = 0; i < bitmap_index(nbits - 1); i++) {
256 if (map[i] != ~((uint64_t)0)) {
257 return false;
258 }
259 }
260
261 uint nbits_filled = i * 64;
262
263 if (nbits > nbits_filled) {
264 return map[i] == mask(nbits - nbits_filled);
265 }
266
267 return true;
268 }
269
270 inline static bitmap_t *__header_indexable
bitmap_alloc(uint nbits)271 bitmap_alloc(uint nbits)
272 {
273 assert(nbits > 0);
274 return (bitmap_t *)kalloc_data(BITMAP_SIZE(nbits), Z_WAITOK_ZERO);
275 }
276
277 inline static void
bitmap_free(bitmap_t * map,uint nbits)278 bitmap_free(bitmap_t *map, uint nbits)
279 {
280 assert(nbits > 0);
281 kfree_data(map, BITMAP_SIZE(nbits));
282 }
283
284 inline static void
bitmap_set(bitmap_t * __header_indexable map,uint n)285 bitmap_set(bitmap_t *__header_indexable map, uint n)
286 {
287 bit_set(map[bitmap_index(n)], bitmap_bit(n));
288 }
289
290 inline static void
bitmap_clear(bitmap_t * __header_indexable map,uint n)291 bitmap_clear(bitmap_t *__header_indexable map, uint n)
292 {
293 bit_clear(map[bitmap_index(n)], bitmap_bit(n));
294 }
295
296 inline static bool
atomic_bitmap_set(_Atomic bitmap_t * __header_indexable map,uint n,int mem_order)297 atomic_bitmap_set(_Atomic bitmap_t *__header_indexable map, uint n, int mem_order)
298 {
299 return atomic_bit_set(&map[bitmap_index(n)], bitmap_bit(n), mem_order);
300 }
301
302 inline static bool
atomic_bitmap_clear(_Atomic bitmap_t * __header_indexable map,uint n,int mem_order)303 atomic_bitmap_clear(_Atomic bitmap_t *__header_indexable map, uint n, int mem_order)
304 {
305 return atomic_bit_clear(&map[bitmap_index(n)], bitmap_bit(n), mem_order);
306 }
307
308 inline static bool
bitmap_test(const bitmap_t * __header_indexable map,uint n)309 bitmap_test(const bitmap_t *__header_indexable map, uint n)
310 {
311 return bit_test(map[bitmap_index(n)], bitmap_bit(n));
312 }
313
314 inline static int
bitmap_first(bitmap_t * __header_indexable map,uint nbits)315 bitmap_first(bitmap_t *__header_indexable map, uint nbits)
316 {
317 for (int i = (int)bitmap_index(nbits - 1); i >= 0; i--) {
318 if (map[i] == 0) {
319 continue;
320 }
321 return (i << 6) + bit_first(map[i]);
322 }
323
324 return -1;
325 }
326
327 inline static void
bitmap_not(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in,uint nbits)328 bitmap_not(
329 bitmap_t *__header_indexable out,
330 const bitmap_t *__header_indexable in,
331 uint nbits)
332 {
333 uint i;
334
335 for (i = 0; i < bitmap_index(nbits - 1); i++) {
336 out[i] = ~in[i];
337 }
338
339 uint nbits_complete = i * 64;
340
341 if (nbits > nbits_complete) {
342 out[i] = ~in[i] & mask(nbits - nbits_complete);
343 }
344 }
345
346 inline static void
bitmap_and(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)347 bitmap_and(
348 bitmap_t *__header_indexable out,
349 const bitmap_t *__header_indexable in1,
350 const bitmap_t *__header_indexable in2,
351 uint nbits)
352 {
353 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
354 out[i] = in1[i] & in2[i];
355 }
356 }
357
358 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)359 bitmap_and_not(
360 bitmap_t *__header_indexable out,
361 const bitmap_t *__header_indexable in1,
362 const bitmap_t *__header_indexable in2,
363 uint nbits)
364 {
365 uint i;
366
367 for (i = 0; i <= bitmap_index(nbits - 1); i++) {
368 out[i] = in1[i] & ~in2[i];
369 }
370 }
371
372 inline static void
bitmap_or(bitmap_t * __header_indexable out,const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)373 bitmap_or(
374 bitmap_t *__header_indexable out,
375 const bitmap_t *__header_indexable in1,
376 const bitmap_t *__header_indexable in2,
377 uint nbits)
378 {
379 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
380 out[i] = in1[i] | in2[i];
381 }
382 }
383
384 inline static bool
bitmap_equal(const bitmap_t * __header_indexable in1,const bitmap_t * __header_indexable in2,uint nbits)385 bitmap_equal(
386 const bitmap_t *__header_indexable in1,
387 const bitmap_t *__header_indexable in2,
388 uint nbits)
389 {
390 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
391 if (in1[i] != in2[i]) {
392 return false;
393 }
394 }
395
396 return true;
397 }
398
399 inline static int
bitmap_and_not_mask_first(bitmap_t * __header_indexable map,const bitmap_t * __header_indexable mask,uint nbits)400 bitmap_and_not_mask_first(
401 bitmap_t *__header_indexable map,
402 const bitmap_t *__header_indexable mask,
403 uint nbits)
404 {
405 for (int i = (int)bitmap_index(nbits - 1); i >= 0; i--) {
406 if ((map[i] & ~mask[i]) == 0) {
407 continue;
408 }
409 return (i << 6) + bit_first(map[i] & ~mask[i]);
410 }
411
412 return -1;
413 }
414
415 inline static int
bitmap_lsb_first(const bitmap_t * __header_indexable map,uint nbits)416 bitmap_lsb_first(const bitmap_t *__header_indexable map, uint nbits)
417 {
418 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
419 if (map[i] == 0) {
420 continue;
421 }
422 return (int)((i << 6) + (uint32_t)lsb_first(map[i]));
423 }
424
425 return -1;
426 }
427
428 inline static int
bitmap_next(const bitmap_t * __header_indexable map,uint prev)429 bitmap_next(const bitmap_t *__header_indexable map, uint prev)
430 {
431 if (prev == 0) {
432 return -1;
433 }
434
435 int64_t i = bitmap_index(prev - 1);
436 int res = __bit_next(map[i], bits(prev, 5, 0));
437 if (res >= 0) {
438 return (int)(res + (i << 6));
439 }
440
441 for (i = i - 1; i >= 0; i--) {
442 if (map[i] == 0) {
443 continue;
444 }
445 return (int)((i << 6) + bit_first(map[i]));
446 }
447
448 return -1;
449 }
450
451 inline static int
bitmap_lsb_next(const bitmap_t * __header_indexable map,uint nbits,uint prev)452 bitmap_lsb_next(const bitmap_t *__header_indexable map, uint nbits, uint prev)
453 {
454 if ((prev + 1) >= nbits) {
455 return -1;
456 }
457
458 uint64_t i = bitmap_index(prev + 1);
459 uint b = bits((prev + 1), 5, 0) - 1;
460 int32_t res = lsb_next((uint64_t)map[i], (int)b);
461 if (res >= 0) {
462 return (int)((uint64_t)res + (i << 6));
463 }
464
465 for (i = i + 1; i <= bitmap_index(nbits - 1); i++) {
466 if (map[i] == 0) {
467 continue;
468 }
469 return (int)((i << 6) + (uint64_t)lsb_first(map[i]));
470 }
471
472 return -1;
473 }
474
475 #endif
476