| 1 | /* @title: Bitmap */ |
| 2 | #pragma once |
| 3 | #include <atomic.h> |
| 4 | #include <compiler/core.h> |
| 5 | #include <compiler/intrinsic.h> |
| 6 | #include <math/align.h> |
| 7 | #include <math/bit.h> |
| 8 | #include <math/min_max.h> |
| 9 | #include <stdbool.h> |
| 10 | #include <stddef.h> |
| 11 | #include <stdint.h> |
| 12 | #include <string.h> |
| 13 | |
| 14 | typedef uint64_t bitmap_word_t; |
| 15 | |
| 16 | #define BITMAP_BITS_PER_WORD 64 |
| 17 | #define BITMAP_WORDS(nbits) \ |
| 18 | ({ \ |
| 19 | __auto_type __nbits = (nbits); \ |
| 20 | ct_typecheck_widenable_to((size_t) 0, nbits); \ |
| 21 | DIV_ROUND_UP((size_t) __nbits, BITMAP_BITS_PER_WORD); \ |
| 22 | }) |
| 23 | |
| 24 | /* Integer constant expression variant */ |
| 25 | #define BITMAP_WORDS_CONST(nbits) \ |
| 26 | (((nbits) / BITMAP_BITS_PER_WORD) + !!((nbits) % BITMAP_BITS_PER_WORD)) |
| 27 | #define BITMAP_DECLARE(name, nbits) \ |
| 28 | bitmap_word_t name[BITMAP_WORDS_CONST(nbits)] |
| 29 | |
| 30 | #define BITMAP_DECLARE_ATOMIC(name, nbits) \ |
| 31 | atomic(bitmap_word_t) name[BITMAP_WORDS_CONST(nbits)] |
| 32 | |
| 33 | #define BITMAP_WORD_INDEX(bit) ((bit) / BITMAP_BITS_PER_WORD) |
| 34 | #define BITMAP_BIT_OFFSET(bit) ((bit) % BITMAP_BITS_PER_WORD) |
| 35 | #define BITMAP_BIT_MASK(bit) ((bitmap_word_t) BIT(BITMAP_BIT_OFFSET(bit))) |
| 36 | |
| 37 | #define bitmap_for_each_bit_set(bit, map, nbits) \ |
| 38 | for (bit = 0; bit < (nbits); bit++) \ |
| 39 | if (bitmap_test((map), (bit))) |
| 40 | |
| 41 | #define bitmap_for_each_bit_unset(bit, map, nbits) \ |
| 42 | for (bit = 0; bit < (nbits); bit++) \ |
| 43 | if (!bitmap_test((map), (bit))) |
| 44 | |
| 45 | static inline void bitmap_set(bitmap_word_t *map, size_t bit) { |
| 46 | map[BITMAP_WORD_INDEX(bit)] |= BITMAP_BIT_MASK(bit); |
| 47 | } |
| 48 | |
| 49 | static inline void bitmap_clear(bitmap_word_t *map, size_t bit) { |
| 50 | map[BITMAP_WORD_INDEX(bit)] &= ~BITMAP_BIT_MASK(bit); |
| 51 | } |
| 52 | |
| 53 | static inline void bitmap_toggle(bitmap_word_t *map, size_t bit) { |
| 54 | map[BITMAP_WORD_INDEX(bit)] ^= BITMAP_BIT_MASK(bit); |
| 55 | } |
| 56 | |
| 57 | static inline bool bitmap_test(const bitmap_word_t *map, size_t bit) { |
| 58 | return (map[BITMAP_WORD_INDEX(bit)] & BITMAP_BIT_MASK(bit)) != 0; |
| 59 | } |
| 60 | |
| 61 | static inline bool bitmap_test_and_set(bitmap_word_t *map, size_t bit) { |
| 62 | bool old = bitmap_test(map, bit); |
| 63 | bitmap_set(map, bit); |
| 64 | return old; |
| 65 | } |
| 66 | |
| 67 | static inline bool bitmap_test_and_clear(bitmap_word_t *map, size_t bit) { |
| 68 | bool old = bitmap_test(map, bit); |
| 69 | bitmap_clear(map, bit); |
| 70 | return old; |
| 71 | } |
| 72 | |
| 73 | static inline void bitmap_atomic_set(bitmap_word_t *map, size_t bit) { |
| 74 | atomic(bitmap_word_t) *atom = |
| 75 | (atomic(bitmap_word_t) *) &map[BITMAP_WORD_INDEX(bit)]; |
| 76 | atomic_set_bit_rlx(atom, BITMAP_BIT_OFFSET(bit)); |
| 77 | } |
| 78 | |
| 79 | static inline void bitmap_atomic_clear(bitmap_word_t *map, size_t bit) { |
| 80 | atomic(bitmap_word_t) *atom = |
| 81 | (atomic(bitmap_word_t) *) &map[BITMAP_WORD_INDEX(bit)]; |
| 82 | atomic_clear_bit_rlx(atom, BITMAP_BIT_OFFSET(bit)); |
| 83 | } |
| 84 | |
| 85 | static inline void bitmap_atomic_toggle(bitmap_word_t *map, size_t bit) { |
| 86 | atomic(bitmap_word_t) *atom = |
| 87 | (atomic(bitmap_word_t) *) &map[BITMAP_WORD_INDEX(bit)]; |
| 88 | atomic_toggle_bit_rlx(atom, BITMAP_BIT_OFFSET(bit)); |
| 89 | } |
| 90 | |
| 91 | static inline bool bitmap_atomic_test(const bitmap_word_t *map, size_t bit) { |
| 92 | const atomic(bitmap_word_t) *atom = |
| 93 | (const atomic(bitmap_word_t) *) &map[BITMAP_WORD_INDEX(bit)]; |
| 94 | return atomic_test_bit_rlx(atom, BITMAP_BIT_OFFSET(bit)); |
| 95 | } |
| 96 | |
| 97 | static inline bool bitmap_atomic_test_and_set(bitmap_word_t *map, size_t bit) { |
| 98 | atomic(bitmap_word_t) *atom = |
| 99 | (atomic(bitmap_word_t) *) &map[BITMAP_WORD_INDEX(bit)]; |
| 100 | return atomic_test_and_set_bit_acq_rel(atom, BITMAP_BIT_OFFSET(bit)); |
| 101 | } |
| 102 | |
| 103 | static inline bool bitmap_atomic_test_and_clear(bitmap_word_t *map, |
| 104 | size_t bit) { |
| 105 | atomic(bitmap_word_t) *atom = |
| 106 | (atomic(bitmap_word_t) *) &map[BITMAP_WORD_INDEX(bit)]; |
| 107 | return atomic_test_and_clear_bit_acq_rel(atom, BITMAP_BIT_OFFSET(bit)); |
| 108 | } |
| 109 | |
| 110 | static inline void bitmap_zero(bitmap_word_t *map, size_t nbits) { |
| 111 | memset(map, 0, BITMAP_WORDS(nbits) * sizeof(bitmap_word_t)); |
| 112 | } |
| 113 | |
| 114 | static inline void bitmap_copy(bitmap_word_t *dst, const bitmap_word_t *src, |
| 115 | size_t nbits) { |
| 116 | memcpy(dst, src, BITMAP_WORDS(nbits) * sizeof(bitmap_word_t)); |
| 117 | } |
| 118 | |
| 119 | static inline void bitmap_fill(bitmap_word_t *map, size_t nbits) { |
| 120 | for (size_t i = 0; i * BITMAP_BITS_PER_WORD < nbits; i++) { |
| 121 | size_t left = nbits - i * BITMAP_BITS_PER_WORD; |
| 122 | map[i] = left >= BITMAP_BITS_PER_WORD ? ~(bitmap_word_t) 0 |
| 123 | : ((bitmap_word_t) 1 << left) - 1; |
| 124 | } |
| 125 | } |
| 126 | |
| 127 | static inline void bitmap_set_range(bitmap_word_t *map, size_t start, |
| 128 | size_t len) { |
| 129 | for (size_t i = 0; i < len; i++) { |
| 130 | bitmap_set(map, bit: start + i); |
| 131 | } |
| 132 | } |
| 133 | |
| 134 | static inline void bitmap_clear_range(bitmap_word_t *map, size_t start, |
| 135 | size_t len) { |
| 136 | for (size_t i = 0; i < len; i++) { |
| 137 | bitmap_clear(map, bit: start + i); |
| 138 | } |
| 139 | } |
| 140 | |
| 141 | static inline void bitmap_and(bitmap_word_t *dst, const bitmap_word_t *src1, |
| 142 | const bitmap_word_t *src2, size_t nbits) { |
| 143 | size_t words = BITMAP_WORDS(nbits); |
| 144 | for (size_t i = 0; i < words; i++) { |
| 145 | dst[i] = src1[i] & src2[i]; |
| 146 | } |
| 147 | } |
| 148 | |
| 149 | static inline void bitmap_or(bitmap_word_t *dst, const bitmap_word_t *src1, |
| 150 | const bitmap_word_t *src2, size_t nbits) { |
| 151 | size_t words = BITMAP_WORDS(nbits); |
| 152 | for (size_t i = 0; i < words; i++) { |
| 153 | dst[i] = src1[i] | src2[i]; |
| 154 | } |
| 155 | } |
| 156 | |
| 157 | static inline void bitmap_xor(bitmap_word_t *dst, const bitmap_word_t *src1, |
| 158 | const bitmap_word_t *src2, size_t nbits) { |
| 159 | size_t words = BITMAP_WORDS(nbits); |
| 160 | for (size_t i = 0; i < words; i++) { |
| 161 | dst[i] = src1[i] ^ src2[i]; |
| 162 | } |
| 163 | } |
| 164 | |
| 165 | static inline void bitmap_andnot(bitmap_word_t *dst, const bitmap_word_t *src1, |
| 166 | const bitmap_word_t *src2, size_t nbits) { |
| 167 | size_t words = BITMAP_WORDS(nbits); |
| 168 | for (size_t i = 0; i < words; i++) { |
| 169 | dst[i] = src1[i] & ~src2[i]; |
| 170 | } |
| 171 | } |
| 172 | |
| 173 | static inline bool bitmap_equal(const bitmap_word_t *src1, |
| 174 | const bitmap_word_t *src2, size_t nbits) { |
| 175 | size_t words = BITMAP_WORDS(nbits); |
| 176 | for (size_t i = 0; i < words; i++) { |
| 177 | if (src1[i] != src2[i]) { |
| 178 | return false; |
| 179 | } |
| 180 | } |
| 181 | return true; |
| 182 | } |
| 183 | |
| 184 | static inline bool bitmap_intersects(const bitmap_word_t *src1, |
| 185 | const bitmap_word_t *src2, size_t nbits) { |
| 186 | size_t words = BITMAP_WORDS(nbits); |
| 187 | for (size_t i = 0; i < words; i++) { |
| 188 | if ((src1[i] & src2[i]) != 0) { |
| 189 | return true; |
| 190 | } |
| 191 | } |
| 192 | return false; |
| 193 | } |
| 194 | |
| 195 | static inline bool bitmap_subset(const bitmap_word_t *subset, |
| 196 | const bitmap_word_t *superset, size_t nbits) { |
| 197 | size_t words = BITMAP_WORDS(nbits); |
| 198 | for (size_t i = 0; i < words; i++) { |
| 199 | if ((subset[i] & ~superset[i]) != 0) { |
| 200 | return false; |
| 201 | } |
| 202 | } |
| 203 | return true; |
| 204 | } |
| 205 | |
| 206 | static inline bool bitmap_empty(const bitmap_word_t *map, size_t nbits) { |
| 207 | size_t words = BITMAP_WORDS(nbits); |
| 208 | for (size_t i = 0; i < words; i++) { |
| 209 | if (map[i] != 0) { |
| 210 | return false; |
| 211 | } |
| 212 | } |
| 213 | return true; |
| 214 | } |
| 215 | |
| 216 | static inline bool bitmap_full(const bitmap_word_t *map, size_t nbits) { |
| 217 | size_t words = BITMAP_WORDS(nbits); |
| 218 | if (words == 0) |
| 219 | return true; |
| 220 | for (size_t i = 0; i < words - 1; i++) { |
| 221 | if (map[i] != ~(bitmap_word_t) 0) { |
| 222 | return false; |
| 223 | } |
| 224 | } |
| 225 | size_t rem = nbits % BITMAP_BITS_PER_WORD; |
| 226 | bitmap_word_t mask = |
| 227 | rem ? (((bitmap_word_t) 1 << rem) - 1) : ~(bitmap_word_t) 0; |
| 228 | return (map[words - 1] & mask) == mask; |
| 229 | } |
| 230 | |
| 231 | static inline size_t bitmap_weight(const bitmap_word_t *map, size_t nbits) { |
| 232 | size_t words = BITMAP_WORDS(nbits); |
| 233 | size_t count = 0; |
| 234 | |
| 235 | if (words == 0) |
| 236 | return 0; |
| 237 | |
| 238 | for (size_t i = 0; i < words - 1; i++) |
| 239 | count += (size_t) ci_popcountll(map[i]); |
| 240 | |
| 241 | size_t rem = nbits % BITMAP_BITS_PER_WORD; |
| 242 | bitmap_word_t last = map[words - 1]; |
| 243 | if (rem) |
| 244 | last &= ((bitmap_word_t) 1 << rem) - 1; |
| 245 | |
| 246 | count += (size_t) ci_popcountll(last); |
| 247 | |
| 248 | return count; |
| 249 | } |
| 250 | |
| 251 | static inline size_t bitmap_find_first_set(const bitmap_word_t *map, |
| 252 | size_t nbits) { |
| 253 | size_t words = BITMAP_WORDS(nbits); |
| 254 | for (size_t i = 0; i < words; i++) { |
| 255 | if (map[i]) { |
| 256 | size_t bit = i * BITMAP_BITS_PER_WORD + (size_t) ci_ctzll(map[i]); |
| 257 | return MIN(bit, nbits); |
| 258 | } |
| 259 | } |
| 260 | return nbits; |
| 261 | } |
| 262 | |
| 263 | static inline size_t bitmap_find_first_zero(const bitmap_word_t *map, |
| 264 | size_t nbits) { |
| 265 | size_t words = BITMAP_WORDS(nbits); |
| 266 | for (size_t i = 0; i < words; i++) { |
| 267 | bitmap_word_t inv = ~map[i]; |
| 268 | if (inv) { |
| 269 | size_t bit = i * BITMAP_BITS_PER_WORD + (size_t) ci_ctzll(inv); |
| 270 | return MIN(bit, nbits); |
| 271 | } |
| 272 | } |
| 273 | return nbits; |
| 274 | } |
| 275 | |
| 276 | static inline size_t bitmap_find_next_bit(const bitmap_word_t *map, |
| 277 | size_t nbits, size_t start) { |
| 278 | if (start >= nbits) |
| 279 | return nbits; |
| 280 | |
| 281 | size_t word_index = BITMAP_WORD_INDEX(start); |
| 282 | size_t bit_offset = BITMAP_BIT_OFFSET(start); |
| 283 | |
| 284 | bitmap_word_t word = map[word_index] & (~((bitmap_word_t) 0) << bit_offset); |
| 285 | if (word) { |
| 286 | size_t bit = |
| 287 | word_index * BITMAP_BITS_PER_WORD + (size_t) ci_ctzll(word); |
| 288 | return MIN(bit, nbits); |
| 289 | } |
| 290 | |
| 291 | for (size_t i = word_index + 1; i < BITMAP_WORDS(nbits); i++) { |
| 292 | if (map[i]) { |
| 293 | size_t bit = i * BITMAP_BITS_PER_WORD + (size_t) ci_ctzll(map[i]); |
| 294 | return MIN(bit, nbits); |
| 295 | } |
| 296 | } |
| 297 | |
| 298 | return nbits; |
| 299 | } |
| 300 | |
| 301 | static inline size_t bitmap_find_next_zero_bit(const bitmap_word_t *map, |
| 302 | size_t nbits, size_t start) { |
| 303 | if (start >= nbits) |
| 304 | return nbits; |
| 305 | |
| 306 | size_t word_index = BITMAP_WORD_INDEX(start); |
| 307 | size_t bit_offset = BITMAP_BIT_OFFSET(start); |
| 308 | |
| 309 | bitmap_word_t inv = ~map[word_index] & (~((bitmap_word_t) 0) << bit_offset); |
| 310 | if (inv) { |
| 311 | size_t bit = word_index * BITMAP_BITS_PER_WORD + (size_t) ci_ctzll(inv); |
| 312 | return MIN(bit, nbits); |
| 313 | } |
| 314 | |
| 315 | for (size_t i = word_index + 1; i < BITMAP_WORDS(nbits); i++) { |
| 316 | inv = ~map[i]; |
| 317 | if (inv) { |
| 318 | size_t bit = i * BITMAP_BITS_PER_WORD + (size_t) ci_ctzll(inv); |
| 319 | return MIN(bit, nbits); |
| 320 | } |
| 321 | } |
| 322 | |
| 323 | return nbits; |
| 324 | } |
| 325 | |