xref: /freebsd/sys/sys/bitstring.h (revision c03c5b1c)
1 /*-
2  * SPDX-License-Identifier: BSD-3-Clause
3  *
4  * Copyright (c) 1989, 1993
5  *	The Regents of the University of California.  All rights reserved.
6  *
7  * This code is derived from software contributed to Berkeley by
8  * Paul Vixie.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted provided that the following conditions
12  * are met:
13  * 1. Redistributions of source code must retain the above copyright
14  *    notice, this list of conditions and the following disclaimer.
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in the
17  *    documentation and/or other materials provided with the distribution.
18  * 3. Neither the name of the University nor the names of its contributors
19  *    may be used to endorse or promote products derived from this software
20  *    without specific prior written permission.
21  *
22  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
23  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
24  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
25  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
26  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
27  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
28  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
29  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
30  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
31  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
32  * SUCH DAMAGE.
33  *
34  * Copyright (c) 2014 Spectra Logic Corporation
35  * All rights reserved.
36  *
37  * Redistribution and use in source and binary forms, with or without
38  * modification, are permitted provided that the following conditions
39  * are met:
40  * 1. Redistributions of source code must retain the above copyright
41  *    notice, this list of conditions, and the following disclaimer,
42  *    without modification.
43  * 2. Redistributions in binary form must reproduce at minimum a disclaimer
44  *    substantially similar to the "NO WARRANTY" disclaimer below
45  *    ("Disclaimer") and any redistribution must be conditioned upon
46  *    including a substantially similar Disclaimer requirement for further
47  *    binary redistribution.
48  *
49  * NO WARRANTY
50  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
51  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
52  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR
53  * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
54  * HOLDERS OR CONTRIBUTORS BE LIABLE FOR SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
55  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
56  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
57  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
58  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
59  * IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
60  * POSSIBILITY OF SUCH DAMAGES.
61  *
62  * $FreeBSD$
63  */
64 #ifndef _SYS_BITSTRING_H_
65 #define	_SYS_BITSTRING_H_
66 
67 #ifdef _KERNEL
68 #include <sys/libkern.h>
69 #include <sys/malloc.h>
70 #endif
71 
72 #include <sys/types.h>
73 
74 typedef	unsigned long bitstr_t;
75 
76 /*---------------------- Private Implementation Details ----------------------*/
77 #define	_BITSTR_MASK (~0UL)
78 #define	_BITSTR_BITS (sizeof(bitstr_t) * 8)
79 
80 #ifdef roundup2
81 #define        _bit_roundup2 roundup2
82 #else
83 #define        _bit_roundup2(x, y)        (((x)+((y)-1))&(~((y)-1))) /* if y is powers of two */
84 #endif
85 
86 /* bitstr_t in bit string containing the bit. */
87 static inline int
88 _bit_idx(int _bit)
89 {
90 	return (_bit / _BITSTR_BITS);
91 }
92 
93 /* bit number within bitstr_t at _bit_idx(_bit). */
94 static inline int
95 _bit_offset(int _bit)
96 {
97 	return (_bit % _BITSTR_BITS);
98 }
99 
100 /* Mask for the bit within its long. */
101 static inline bitstr_t
102 _bit_mask(int _bit)
103 {
104 	return (1UL << _bit_offset(_bit));
105 }
106 
107 static inline bitstr_t
108 _bit_make_mask(int _start, int _stop)
109 {
110 	return ((_BITSTR_MASK << _bit_offset(_start)) &
111 	    (_BITSTR_MASK >> (_BITSTR_BITS - _bit_offset(_stop) - 1)));
112 }
113 
114 /*----------------------------- Public Interface -----------------------------*/
115 /* Number of bytes allocated for a bit string of nbits bits */
116 #define	bitstr_size(_nbits) (_bit_roundup2(_nbits, _BITSTR_BITS) / 8)
117 
118 /* Allocate a bit string initialized with no bits set. */
119 #ifdef _KERNEL
120 static inline bitstr_t *
121 bit_alloc(int _nbits, struct malloc_type *type, int flags)
122 {
123 	return ((bitstr_t *)malloc(bitstr_size(_nbits), type, flags | M_ZERO));
124 }
125 #else
126 static inline bitstr_t *
127 bit_alloc(int _nbits)
128 {
129 	return ((bitstr_t *)calloc(bitstr_size(_nbits), 1));
130 }
131 #endif
132 
133 /* Allocate a bit string on the stack */
134 #define	bit_decl(name, nbits) \
135 	((name)[bitstr_size(nbits) / sizeof(bitstr_t)])
136 
137 /* Is bit N of bit string set? */
138 static inline int
139 bit_test(const bitstr_t *_bitstr, int _bit)
140 {
141 	return ((_bitstr[_bit_idx(_bit)] & _bit_mask(_bit)) != 0);
142 }
143 
144 /* Set bit N of bit string. */
145 static inline void
146 bit_set(bitstr_t *_bitstr, int _bit)
147 {
148 	_bitstr[_bit_idx(_bit)] |= _bit_mask(_bit);
149 }
150 
151 /* clear bit N of bit string name */
152 static inline void
153 bit_clear(bitstr_t *_bitstr, int _bit)
154 {
155 	_bitstr[_bit_idx(_bit)] &= ~_bit_mask(_bit);
156 }
157 
158 /* Are bits in [start ... stop] in bit string all 0 or all 1? */
159 static inline int
160 bit_ntest(const bitstr_t *_bitstr, int _start, int _stop, int _match)
161 {
162 	const bitstr_t *_stopbitstr;
163 	bitstr_t _mask;
164 
165 	_mask = (_match == 0) ? 0 : _BITSTR_MASK;
166 	_stopbitstr = _bitstr + _bit_idx(_stop);
167 	_bitstr += _bit_idx(_start);
168 
169 	if (_bitstr == _stopbitstr)
170 		return (0 == ((*_bitstr ^ _mask) &
171 		    _bit_make_mask(_start, _stop)));
172 	if (_bit_offset(_start) != 0 &&
173 	    0 != ((*_bitstr++ ^ _mask) &
174 	    _bit_make_mask(_start, _BITSTR_BITS - 1)))
175 		return (0);
176 	if (_bit_offset(_stop) == _BITSTR_BITS - 1)
177 		++_stopbitstr;
178 	while (_bitstr < _stopbitstr) {
179 		if (*_bitstr++ != _mask)
180 			return (0);
181 	}
182 	return (_bit_offset(_stop) == _BITSTR_BITS - 1 ||
183 	    0 == ((*_stopbitstr ^ _mask) & _bit_make_mask(0, _stop)));
184 }
185 
186 /* Set bits start ... stop inclusive in bit string. */
187 static inline void
188 bit_nset(bitstr_t *_bitstr, int _start, int _stop)
189 {
190 	bitstr_t *_stopbitstr;
191 
192 	_stopbitstr = _bitstr + _bit_idx(_stop);
193 	_bitstr += _bit_idx(_start);
194 
195 	if (_bitstr == _stopbitstr) {
196 		*_bitstr |= _bit_make_mask(_start, _stop);
197 	} else {
198 		if (_bit_offset(_start) != 0)
199 			*_bitstr++ |= _bit_make_mask(_start, _BITSTR_BITS - 1);
200 		if (_bit_offset(_stop) == _BITSTR_BITS - 1)
201 			++_stopbitstr;
202 		while (_bitstr < _stopbitstr)
203 			*_bitstr++ = _BITSTR_MASK;
204 		if (_bit_offset(_stop) != _BITSTR_BITS - 1)
205 			*_stopbitstr |= _bit_make_mask(0, _stop);
206 	}
207 }
208 
209 /* Clear bits start ... stop inclusive in bit string. */
210 static inline void
211 bit_nclear(bitstr_t *_bitstr, int _start, int _stop)
212 {
213 	bitstr_t *_stopbitstr;
214 
215 	_stopbitstr = _bitstr + _bit_idx(_stop);
216 	_bitstr += _bit_idx(_start);
217 
218 	if (_bitstr == _stopbitstr) {
219 		*_bitstr &= ~_bit_make_mask(_start, _stop);
220 	} else {
221 		if (_bit_offset(_start) != 0)
222 			*_bitstr++ &= ~_bit_make_mask(_start, _BITSTR_BITS - 1);
223 		if (_bit_offset(_stop) == _BITSTR_BITS - 1)
224 			++_stopbitstr;
225 		while (_bitstr < _stopbitstr)
226 			*_bitstr++ = 0;
227 		if (_bit_offset(_stop) != _BITSTR_BITS - 1)
228 			*_stopbitstr &= ~_bit_make_mask(0, _stop);
229 	}
230 }
231 
232 /* Find the first '_match'-bit in bit string at or after bit start. */
233 static inline void
234 bit_ff_at(bitstr_t *_bitstr, int _start, int _nbits, int _match,
235     int *_result)
236 {
237 	bitstr_t *_curbitstr;
238 	bitstr_t *_stopbitstr;
239 	bitstr_t _mask;
240 	bitstr_t _test;
241 	int _value;
242 
243 	if (_start >= _nbits || _nbits <= 0) {
244 		*_result = -1;
245 		return;
246 	}
247 
248 	_curbitstr = _bitstr + _bit_idx(_start);
249 	_stopbitstr = _bitstr + _bit_idx(_nbits - 1);
250 	_mask = _match ? 0 : _BITSTR_MASK;
251 
252 	_test = _mask ^ *_curbitstr;
253 	if (_bit_offset(_start) != 0)
254 		_test &= _bit_make_mask(_start, _BITSTR_BITS - 1);
255 	while (_test == 0 && _curbitstr < _stopbitstr)
256 		_test = _mask ^ *(++_curbitstr);
257 
258 	_value = ((_curbitstr - _bitstr) * _BITSTR_BITS) + ffsl(_test) - 1;
259 	if (_test == 0 ||
260 	    (_bit_offset(_nbits) != 0 && _value >= _nbits))
261 		_value = -1;
262 	*_result = _value;
263 }
264 
265 /* Find the first bit set in bit string at or after bit start. */
266 static inline void
267 bit_ffs_at(bitstr_t *_bitstr, int _start, int _nbits, int *_result)
268 {
269 	bit_ff_at(_bitstr, _start, _nbits, 1, _result);
270 }
271 
272 /* Find the first bit clear in bit string at or after bit start. */
273 static inline void
274 bit_ffc_at(bitstr_t *_bitstr, int _start, int _nbits, int *_result)
275 {
276 	bit_ff_at(_bitstr, _start, _nbits, 0, _result);
277 }
278 
279 /* Find the first bit set in bit string. */
280 static inline void
281 bit_ffs(bitstr_t *_bitstr, int _nbits, int *_result)
282 {
283 	bit_ffs_at(_bitstr, /*start*/0, _nbits, _result);
284 }
285 
286 /* Find the first bit clear in bit string. */
287 static inline void
288 bit_ffc(bitstr_t *_bitstr, int _nbits, int *_result)
289 {
290 	bit_ffc_at(_bitstr, /*start*/0, _nbits, _result);
291 }
292 
293 /* Find contiguous sequence of at least size '_match'-bits at or after start */
294 static inline void
295 bit_ff_area_at(bitstr_t *_bitstr, int _start, int _nbits, int _size,
296     int _match, int *_result)
297 {
298 	bitstr_t *_curbitstr, _mask, _test;
299 	int _value, _last, _shft, _maxshft;
300 
301 	if (_start + _size > _nbits || _nbits <= 0) {
302 		*_result = -1;
303 		return;
304 	}
305 
306 	_mask = _match ? _BITSTR_MASK : 0;
307 	_maxshft = _bit_idx(_size - 1) == 0 ? _size : (int)_BITSTR_BITS;
308 	_value = 0;
309 	_curbitstr = _bitstr + _bit_idx(_start);
310 	_test = ~(_BITSTR_MASK << _bit_offset(_start));
311 	for (_last = _size - 1, _test |= _mask ^ *_curbitstr;
312 	    !(_bit_idx(_last) == 0 &&
313 	    (_test & _bit_make_mask(0, _last)) == 0);
314 	    _last -= _BITSTR_BITS, _test = _mask ^ *++_curbitstr) {
315 		if (_test == 0)
316 			continue;
317 		/* Shrink-left every 0-area in _test by maxshft-1 bits. */
318 		for (_shft = _maxshft; _shft > 1 && (_test & (_test + 1)) != 0;
319 		     _shft = (_shft + 1) / 2)
320 			_test |= _test >> _shft / 2;
321 		/* Find the start of the first 0-area in _test. */
322 		_last = ffsl(~(_test >> 1));
323 		_value = (_curbitstr - _bitstr) * _BITSTR_BITS + _last;
324 		/* If there's insufficient space left, give up. */
325 		if (_value + _size > _nbits) {
326 			_value = -1;
327 			break;
328 		}
329 		_last += _size - 1;
330 		/* If a solution is contained in _test, success! */
331 		if (_bit_idx(_last) == 0)
332 			break;
333 		/* A solution here needs bits from the next word. */
334 	}
335 	*_result = _value;
336 }
337 
338 /* Find contiguous sequence of at least size set bits at or after start */
339 static inline void
340 bit_ffs_area_at(bitstr_t *_bitstr, int _start, int _nbits, int _size,
341     int *_result)
342 {
343 	bit_ff_area_at(_bitstr, _start, _nbits, _size, 1, _result);
344 }
345 
346 /* Find contiguous sequence of at least size cleared bits at or after start */
347 static inline void
348 bit_ffc_area_at(bitstr_t *_bitstr, int _start, int _nbits, int _size,
349     int *_result)
350 {
351 	bit_ff_area_at(_bitstr, _start, _nbits, _size, 0, _result);
352 }
353 
354 /* Find contiguous sequence of at least size set bits in bit string */
355 static inline void
356 bit_ffs_area(bitstr_t *_bitstr, int _nbits, int _size, int *_result)
357 {
358 	bit_ffs_area_at(_bitstr, /*start*/0, _nbits, _size, _result);
359 }
360 
361 /* Find contiguous sequence of at least size cleared bits in bit string */
362 static inline void
363 bit_ffc_area(bitstr_t *_bitstr, int _nbits, int _size, int *_result)
364 {
365 	bit_ffc_area_at(_bitstr, /*start*/0, _nbits, _size, _result);
366 }
367 
368 /* Count the number of bits set in a bitstr of size _nbits at or after _start */
369 static inline void
370 bit_count(bitstr_t *_bitstr, int _start, int _nbits, int *_result)
371 {
372 	bitstr_t *_curbitstr, mask;
373 	int _value = 0, curbitstr_len;
374 
375 	if (_start >= _nbits)
376 		goto out;
377 
378 	_curbitstr = _bitstr + _bit_idx(_start);
379 	_nbits -= _BITSTR_BITS * _bit_idx(_start);
380 	_start -= _BITSTR_BITS * _bit_idx(_start);
381 
382 	if (_start > 0) {
383 		curbitstr_len = (int)_BITSTR_BITS < _nbits ?
384 				(int)_BITSTR_BITS : _nbits;
385 		mask = _bit_make_mask(_start, _bit_offset(curbitstr_len - 1));
386 		_value += __bitcountl(*_curbitstr & mask);
387 		_curbitstr++;
388 		_nbits -= _BITSTR_BITS;
389 	}
390 	while (_nbits >= (int)_BITSTR_BITS) {
391 		_value += __bitcountl(*_curbitstr);
392 		_curbitstr++;
393 		_nbits -= _BITSTR_BITS;
394 	}
395 	if (_nbits > 0) {
396 		mask = _bit_make_mask(0, _bit_offset(_nbits - 1));
397 		_value += __bitcountl(*_curbitstr & mask);
398 	}
399 
400 out:
401 	*_result = _value;
402 }
403 
404 /* Traverse all set bits, assigning each location in turn to iter */
405 #define	bit_foreach_at(_bitstr, _start, _nbits, _iter)			\
406 	for (bit_ffs_at((_bitstr), (_start), (_nbits), &(_iter));	\
407 	     (_iter) != -1;						\
408 	     bit_ffs_at((_bitstr), (_iter) + 1, (_nbits), &(_iter)))
409 #define	bit_foreach(_bitstr, _nbits, _iter)				\
410 	bit_foreach_at(_bitstr, /*start*/0, _nbits, _iter)
411 
412 /* Traverse all unset bits, assigning each location in turn to iter */
413 #define	bit_foreach_unset_at(_bitstr, _start, _nbits, _iter)		\
414 	for (bit_ffc_at((_bitstr), (_start), (_nbits), &(_iter));	\
415 	     (_iter) != -1;						\
416 	     bit_ffc_at((_bitstr), (_iter) + 1, (_nbits), &(_iter)))
417 #define	bit_foreach_unset(_bitstr, _nbits, _iter)			\
418 	bit_foreach_unset_at(_bitstr, /*start*/0, _nbits, _iter)
419 
420 #endif	/* _SYS_BITSTRING_H_ */
421