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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(x) malloc(x)
41 #define kfree(x, y) free(x)
42 #endif
43 #include <stdbool.h>
44 #include <stdint.h>
45 #include <stdatomic.h>
46
47 typedef unsigned int uint;
48
49 #define BIT(b) (1ULL << (b))
50
51 #define mask(width) (width >= 64 ? -1ULL : (BIT(width) - 1))
52 #define extract(x, shift, width) ((((uint64_t)(x)) >> (shift)) & mask(width))
53 #define bits(x, hi, lo) extract((x), (lo), (hi) - (lo) + 1)
54
55 #define bit_set(x, b) ((x) |= BIT(b))
56 #define bit_clear(x, b) ((x) &= ~BIT(b))
57 #define bit_test(x, b) ((bool)((x) & BIT(b)))
58
59 inline static uint64_t
60 bit_ror64(uint64_t bitmap, uint n)
61 {
62 #if defined(__arm64__)
63 uint64_t result;
64 uint64_t _n = (uint64_t)n;
65 asm volatile ("ror %0, %1, %2" : "=r" (result) : "r" (bitmap), "r" (_n));
66 return result;
67 #else
68 n = n & 63;
69 return (bitmap >> n) | (bitmap << (64 - n));
70 #endif
71 }
72
73 inline static uint64_t
74 bit_rol64(uint64_t bitmap, uint n)
75 {
76 #if defined(__arm64__)
77 return bit_ror64(bitmap, 64U - n);
78 #else
79 n = n & 63;
80 return (bitmap << n) | (bitmap >> (64 - n));
81 #endif
82 }
83
84 /* Non-atomically clear the bit and returns whether the bit value was changed */
85 inline static bool
86 bit_clear_if_set(uint64_t bitmap, int bit)
87 {
88 bool bit_is_set = bit_test(bitmap, bit);
89 bit_clear(bitmap, bit);
90 return bit_is_set;
91 }
92
93 /* Non-atomically set the bit and returns whether the bit value was changed */
94 inline static bool
95 bit_set_if_clear(uint64_t bitmap, int bit)
96 {
97 bool bit_is_set = bit_test(bitmap, bit);
98 bit_set(bitmap, bit);
99 return !bit_is_set;
100 }
101
102 /* Returns the most significant '1' bit, or -1 if all zeros */
103 inline static int
104 bit_first(uint64_t bitmap)
105 {
106 #if defined(__arm64__)
107 int64_t result;
108 asm volatile ("clz %0, %1" : "=r" (result) : "r" (bitmap));
109 return 63 - (int)result;
110 #else
111 return (bitmap == 0) ? -1 : 63 - __builtin_clzll(bitmap);
112 #endif
113 }
114
115
116 inline static int
117 __bit_next(uint64_t bitmap, int previous_bit)
118 {
119 uint64_t mask = previous_bit ? mask(previous_bit) : ~0ULL;
120
121 return bit_first(bitmap & mask);
122 }
123
124 /* Returns the most significant '1' bit that is less significant than previous_bit,
125 * or -1 if no such bit exists.
126 */
127 inline static int
128 bit_next(uint64_t bitmap, int previous_bit)
129 {
130 if (previous_bit == 0) {
131 return -1;
132 } else {
133 return __bit_next(bitmap, previous_bit);
134 }
135 }
136
137 /* Returns the least significant '1' bit, or -1 if all zeros */
138 inline static int
139 lsb_first(uint64_t bitmap)
140 {
141 return __builtin_ffsll((long long)bitmap) - 1;
142 }
143
144 /* Returns the least significant '1' bit that is more significant than previous_bit,
145 * or -1 if no such bit exists.
146 * previous_bit may be -1, in which case this is equivalent to lsb_first()
147 */
148 inline static int
149 lsb_next(uint64_t bitmap, int previous_bit)
150 {
151 uint64_t mask = mask(previous_bit + 1);
152
153 return lsb_first(bitmap & ~mask);
154 }
155
156 inline static int
157 bit_count(uint64_t x)
158 {
159 return __builtin_popcountll(x);
160 }
161
162 /* Return the highest power of 2 that is <= n, or -1 if n == 0 */
163 inline static int
164 bit_floor(uint64_t n)
165 {
166 return bit_first(n);
167 }
168
169 /* Return the lowest power of 2 that is >= n, or -1 if n == 0 */
170 inline static int
171 bit_ceiling(uint64_t n)
172 {
173 if (n == 0) {
174 return -1;
175 }
176 return bit_first(n - 1) + 1;
177 }
178
179 /* If n is a power of 2, bit_log2(n) == bit_floor(n) == bit_ceiling(n) */
180 #define bit_log2(n) bit_floor((uint64_t)(n))
181
182 typedef uint64_t bitmap_t;
183
184
185 inline static bool
186 atomic_bit_set(_Atomic bitmap_t *map, int n, int mem_order)
187 {
188 bitmap_t prev;
189 prev = __c11_atomic_fetch_or(map, BIT(n), mem_order);
190 return bit_test(prev, n);
191 }
192
193 inline static bool
194 atomic_bit_clear(_Atomic bitmap_t *map, int n, int mem_order)
195 {
196 bitmap_t prev;
197 prev = __c11_atomic_fetch_and(map, ~BIT(n), mem_order);
198 return bit_test(prev, n);
199 }
200
201
202 #define BITMAP_LEN(n) (((uint)(n) + 63) >> 6) /* Round to 64bit bitmap_t */
203 #define BITMAP_SIZE(n) (size_t)(BITMAP_LEN(n) << 3) /* Round to 64bit bitmap_t, then convert to bytes */
204 #define bitmap_bit(n) bits(n, 5, 0)
205 #define bitmap_index(n) bits(n, 63, 6)
206
207 inline static bitmap_t *
208 bitmap_zero(bitmap_t *map, uint nbits)
209 {
210 return (bitmap_t *)memset((void *)map, 0, BITMAP_SIZE(nbits));
211 }
212
213 inline static bitmap_t *
214 bitmap_full(bitmap_t *map, uint nbits)
215 {
216 uint i;
217
218 for (i = 0; i < bitmap_index(nbits - 1); i++) {
219 map[i] = ~((uint64_t)0);
220 }
221
222 uint nbits_filled = i * 64;
223
224 if (nbits > nbits_filled) {
225 map[i] = mask(nbits - nbits_filled);
226 }
227
228 return map;
229 }
230
231 inline static bool
232 bitmap_is_full(bitmap_t *map, uint nbits)
233 {
234 uint i;
235
236 for (i = 0; i < bitmap_index(nbits - 1); i++) {
237 if (map[i] != ~((uint64_t)0)) {
238 return false;
239 }
240 }
241
242 uint nbits_filled = i * 64;
243
244 if (nbits > nbits_filled) {
245 return map[i] == mask(nbits - nbits_filled);
246 }
247
248 return true;
249 }
250
251 inline static bitmap_t *
252 bitmap_alloc(uint nbits)
253 {
254 assert(nbits > 0);
255 bitmap_t *map = (bitmap_t *)kalloc(BITMAP_SIZE(nbits));
256 if (map) {
257 bitmap_zero(map, nbits);
258 }
259 return map;
260 }
261
262 inline static void
263 bitmap_free(bitmap_t *map, uint nbits)
264 {
265 assert(nbits > 0);
266 kfree(map, BITMAP_SIZE(nbits));
267 }
268
269 inline static void
270 bitmap_set(bitmap_t *map, uint n)
271 {
272 bit_set(map[bitmap_index(n)], bitmap_bit(n));
273 }
274
275 inline static void
276 bitmap_clear(bitmap_t *map, uint n)
277 {
278 bit_clear(map[bitmap_index(n)], bitmap_bit(n));
279 }
280
281 inline static bool
282 atomic_bitmap_set(_Atomic bitmap_t *map, uint n, int mem_order)
283 {
284 return atomic_bit_set(&map[bitmap_index(n)], bitmap_bit(n), mem_order);
285 }
286
287 inline static bool
288 atomic_bitmap_clear(_Atomic bitmap_t *map, uint n, int mem_order)
289 {
290 return atomic_bit_clear(&map[bitmap_index(n)], bitmap_bit(n), mem_order);
291 }
292
293 inline static bool
294 bitmap_test(const bitmap_t *map, uint n)
295 {
296 return bit_test(map[bitmap_index(n)], bitmap_bit(n));
297 }
298
299 inline static int
300 bitmap_first(bitmap_t *map, uint nbits)
301 {
302 for (int i = (int)bitmap_index(nbits - 1); i >= 0; i--) {
303 if (map[i] == 0) {
304 continue;
305 }
306 return (i << 6) + bit_first(map[i]);
307 }
308
309 return -1;
310 }
311
312 inline static void
313 bitmap_not(bitmap_t *out, const bitmap_t *in, uint nbits)
314 {
315 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
316 out[i] = ~in[i];
317 }
318 }
319
320 inline static void
321 bitmap_and(bitmap_t *out, const bitmap_t *in1, const bitmap_t *in2, uint nbits)
322 {
323 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
324 out[i] = in1[i] & in2[i];
325 }
326 }
327
328 inline static void
329 bitmap_and_not(bitmap_t *out, const bitmap_t *in1, const bitmap_t *in2, uint nbits)
330 {
331 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
332 out[i] = in1[i] & ~in2[i];
333 }
334 }
335
336 inline static bool
337 bitmap_equal(const bitmap_t *in1, const bitmap_t *in2, uint nbits)
338 {
339 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
340 if (in1[i] != in2[i]) {
341 return false;
342 }
343 }
344
345 return true;
346 }
347
348 inline static int
349 bitmap_and_not_mask_first(bitmap_t *map, bitmap_t *mask, uint nbits)
350 {
351 for (int i = (int)bitmap_index(nbits - 1); i >= 0; i--) {
352 if ((map[i] & ~mask[i]) == 0) {
353 continue;
354 }
355 return (i << 6) + bit_first(map[i] & ~mask[i]);
356 }
357
358 return -1;
359 }
360
361 inline static int
362 bitmap_lsb_first(const bitmap_t *map, uint nbits)
363 {
364 for (uint i = 0; i <= bitmap_index(nbits - 1); i++) {
365 if (map[i] == 0) {
366 continue;
367 }
368 return (int)((i << 6) + (uint32_t)lsb_first(map[i]));
369 }
370
371 return -1;
372 }
373
374 inline static int
375 bitmap_next(const bitmap_t *map, uint prev)
376 {
377 if (prev == 0) {
378 return -1;
379 }
380
381 int64_t i = bitmap_index(prev - 1);
382 int res = __bit_next(map[i], bits(prev, 5, 0));
383 if (res >= 0) {
384 return (int)(res + (i << 6));
385 }
386
387 for (i = i - 1; i >= 0; i--) {
388 if (map[i] == 0) {
389 continue;
390 }
391 return (int)((i << 6) + bit_first(map[i]));
392 }
393
394 return -1;
395 }
396
397 inline static int
398 bitmap_lsb_next(const bitmap_t *map, uint nbits, uint prev)
399 {
400 if ((prev + 1) >= nbits) {
401 return -1;
402 }
403
404 uint64_t i = bitmap_index(prev + 1);
405 uint b = bits((prev + 1), 5, 0) - 1;
406 int32_t res = lsb_next((uint64_t)map[i], (int)b);
407 if (res >= 0) {
408 return (int)((uint64_t)res + (i << 6));
409 }
410
411 for (i = i + 1; i <= bitmap_index(nbits - 1); i++) {
412 if (map[i] == 0) {
413 continue;
414 }
415 return (int)((i << 6) + (uint64_t)lsb_first(map[i]));
416 }
417
418 return -1;
419 }
420
421 #endif