xref: /linux/lib/bitmap.c (revision 9e1e9d660255d7216067193d774f338d08d8528d)
1 // SPDX-License-Identifier: GPL-2.0-only
2 /*
3  * lib/bitmap.c
4  * Helper functions for bitmap.h.
5  */
6 
7 #include <linux/bitmap.h>
8 #include <linux/bitops.h>
9 #include <linux/ctype.h>
10 #include <linux/device.h>
11 #include <linux/export.h>
12 #include <linux/slab.h>
13 
14 /**
15  * DOC: bitmap introduction
16  *
17  * bitmaps provide an array of bits, implemented using an
18  * array of unsigned longs.  The number of valid bits in a
19  * given bitmap does _not_ need to be an exact multiple of
20  * BITS_PER_LONG.
21  *
22  * The possible unused bits in the last, partially used word
23  * of a bitmap are 'don't care'.  The implementation makes
24  * no particular effort to keep them zero.  It ensures that
25  * their value will not affect the results of any operation.
26  * The bitmap operations that return Boolean (bitmap_empty,
27  * for example) or scalar (bitmap_weight, for example) results
28  * carefully filter out these unused bits from impacting their
29  * results.
30  *
31  * The byte ordering of bitmaps is more natural on little
32  * endian architectures.  See the big-endian headers
33  * include/asm-ppc64/bitops.h and include/asm-s390/bitops.h
34  * for the best explanations of this ordering.
35  */
36 
37 bool __bitmap_equal(const unsigned long *bitmap1,
38 		    const unsigned long *bitmap2, unsigned int bits)
39 {
40 	unsigned int k, lim = bits/BITS_PER_LONG;
41 	for (k = 0; k < lim; ++k)
42 		if (bitmap1[k] != bitmap2[k])
43 			return false;
44 
45 	if (bits % BITS_PER_LONG)
46 		if ((bitmap1[k] ^ bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
47 			return false;
48 
49 	return true;
50 }
51 EXPORT_SYMBOL(__bitmap_equal);
52 
53 bool __bitmap_or_equal(const unsigned long *bitmap1,
54 		       const unsigned long *bitmap2,
55 		       const unsigned long *bitmap3,
56 		       unsigned int bits)
57 {
58 	unsigned int k, lim = bits / BITS_PER_LONG;
59 	unsigned long tmp;
60 
61 	for (k = 0; k < lim; ++k) {
62 		if ((bitmap1[k] | bitmap2[k]) != bitmap3[k])
63 			return false;
64 	}
65 
66 	if (!(bits % BITS_PER_LONG))
67 		return true;
68 
69 	tmp = (bitmap1[k] | bitmap2[k]) ^ bitmap3[k];
70 	return (tmp & BITMAP_LAST_WORD_MASK(bits)) == 0;
71 }
72 EXPORT_SYMBOL(__bitmap_or_equal);
73 
74 void __bitmap_complement(unsigned long *dst, const unsigned long *src, unsigned int bits)
75 {
76 	unsigned int k, lim = BITS_TO_LONGS(bits);
77 	for (k = 0; k < lim; ++k)
78 		dst[k] = ~src[k];
79 }
80 EXPORT_SYMBOL(__bitmap_complement);
81 
82 /**
83  * __bitmap_shift_right - logical right shift of the bits in a bitmap
84  *   @dst : destination bitmap
85  *   @src : source bitmap
86  *   @shift : shift by this many bits
87  *   @nbits : bitmap size, in bits
88  *
89  * Shifting right (dividing) means moving bits in the MS -> LS bit
90  * direction.  Zeros are fed into the vacated MS positions and the
91  * LS bits shifted off the bottom are lost.
92  */
93 void __bitmap_shift_right(unsigned long *dst, const unsigned long *src,
94 			unsigned shift, unsigned nbits)
95 {
96 	unsigned k, lim = BITS_TO_LONGS(nbits);
97 	unsigned off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG;
98 	unsigned long mask = BITMAP_LAST_WORD_MASK(nbits);
99 	for (k = 0; off + k < lim; ++k) {
100 		unsigned long upper, lower;
101 
102 		/*
103 		 * If shift is not word aligned, take lower rem bits of
104 		 * word above and make them the top rem bits of result.
105 		 */
106 		if (!rem || off + k + 1 >= lim)
107 			upper = 0;
108 		else {
109 			upper = src[off + k + 1];
110 			if (off + k + 1 == lim - 1)
111 				upper &= mask;
112 			upper <<= (BITS_PER_LONG - rem);
113 		}
114 		lower = src[off + k];
115 		if (off + k == lim - 1)
116 			lower &= mask;
117 		lower >>= rem;
118 		dst[k] = lower | upper;
119 	}
120 	if (off)
121 		memset(&dst[lim - off], 0, off*sizeof(unsigned long));
122 }
123 EXPORT_SYMBOL(__bitmap_shift_right);
124 
125 
126 /**
127  * __bitmap_shift_left - logical left shift of the bits in a bitmap
128  *   @dst : destination bitmap
129  *   @src : source bitmap
130  *   @shift : shift by this many bits
131  *   @nbits : bitmap size, in bits
132  *
133  * Shifting left (multiplying) means moving bits in the LS -> MS
134  * direction.  Zeros are fed into the vacated LS bit positions
135  * and those MS bits shifted off the top are lost.
136  */
137 
138 void __bitmap_shift_left(unsigned long *dst, const unsigned long *src,
139 			unsigned int shift, unsigned int nbits)
140 {
141 	int k;
142 	unsigned int lim = BITS_TO_LONGS(nbits);
143 	unsigned int off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG;
144 	for (k = lim - off - 1; k >= 0; --k) {
145 		unsigned long upper, lower;
146 
147 		/*
148 		 * If shift is not word aligned, take upper rem bits of
149 		 * word below and make them the bottom rem bits of result.
150 		 */
151 		if (rem && k > 0)
152 			lower = src[k - 1] >> (BITS_PER_LONG - rem);
153 		else
154 			lower = 0;
155 		upper = src[k] << rem;
156 		dst[k + off] = lower | upper;
157 	}
158 	if (off)
159 		memset(dst, 0, off*sizeof(unsigned long));
160 }
161 EXPORT_SYMBOL(__bitmap_shift_left);
162 
163 /**
164  * bitmap_cut() - remove bit region from bitmap and right shift remaining bits
165  * @dst: destination bitmap, might overlap with src
166  * @src: source bitmap
167  * @first: start bit of region to be removed
168  * @cut: number of bits to remove
169  * @nbits: bitmap size, in bits
170  *
171  * Set the n-th bit of @dst iff the n-th bit of @src is set and
172  * n is less than @first, or the m-th bit of @src is set for any
173  * m such that @first <= n < nbits, and m = n + @cut.
174  *
175  * In pictures, example for a big-endian 32-bit architecture:
176  *
177  * The @src bitmap is::
178  *
179  *   31                                   63
180  *   |                                    |
181  *   10000000 11000001 11110010 00010101  10000000 11000001 01110010 00010101
182  *                   |  |              |                                    |
183  *                  16  14             0                                   32
184  *
185  * if @cut is 3, and @first is 14, bits 14-16 in @src are cut and @dst is::
186  *
187  *   31                                   63
188  *   |                                    |
189  *   10110000 00011000 00110010 00010101  00010000 00011000 00101110 01000010
190  *                      |              |                                    |
191  *                      14 (bit 17     0                                   32
192  *                          from @src)
193  *
194  * Note that @dst and @src might overlap partially or entirely.
195  *
196  * This is implemented in the obvious way, with a shift and carry
197  * step for each moved bit. Optimisation is left as an exercise
198  * for the compiler.
199  */
200 void bitmap_cut(unsigned long *dst, const unsigned long *src,
201 		unsigned int first, unsigned int cut, unsigned int nbits)
202 {
203 	unsigned int len = BITS_TO_LONGS(nbits);
204 	unsigned long keep = 0, carry;
205 	int i;
206 
207 	if (first % BITS_PER_LONG) {
208 		keep = src[first / BITS_PER_LONG] &
209 		       (~0UL >> (BITS_PER_LONG - first % BITS_PER_LONG));
210 	}
211 
212 	memmove(dst, src, len * sizeof(*dst));
213 
214 	while (cut--) {
215 		for (i = first / BITS_PER_LONG; i < len; i++) {
216 			if (i < len - 1)
217 				carry = dst[i + 1] & 1UL;
218 			else
219 				carry = 0;
220 
221 			dst[i] = (dst[i] >> 1) | (carry << (BITS_PER_LONG - 1));
222 		}
223 	}
224 
225 	dst[first / BITS_PER_LONG] &= ~0UL << (first % BITS_PER_LONG);
226 	dst[first / BITS_PER_LONG] |= keep;
227 }
228 EXPORT_SYMBOL(bitmap_cut);
229 
230 bool __bitmap_and(unsigned long *dst, const unsigned long *bitmap1,
231 				const unsigned long *bitmap2, unsigned int bits)
232 {
233 	unsigned int k;
234 	unsigned int lim = bits/BITS_PER_LONG;
235 	unsigned long result = 0;
236 
237 	for (k = 0; k < lim; k++)
238 		result |= (dst[k] = bitmap1[k] & bitmap2[k]);
239 	if (bits % BITS_PER_LONG)
240 		result |= (dst[k] = bitmap1[k] & bitmap2[k] &
241 			   BITMAP_LAST_WORD_MASK(bits));
242 	return result != 0;
243 }
244 EXPORT_SYMBOL(__bitmap_and);
245 
246 void __bitmap_or(unsigned long *dst, const unsigned long *bitmap1,
247 				const unsigned long *bitmap2, unsigned int bits)
248 {
249 	unsigned int k;
250 	unsigned int nr = BITS_TO_LONGS(bits);
251 
252 	for (k = 0; k < nr; k++)
253 		dst[k] = bitmap1[k] | bitmap2[k];
254 }
255 EXPORT_SYMBOL(__bitmap_or);
256 
257 void __bitmap_xor(unsigned long *dst, const unsigned long *bitmap1,
258 				const unsigned long *bitmap2, unsigned int bits)
259 {
260 	unsigned int k;
261 	unsigned int nr = BITS_TO_LONGS(bits);
262 
263 	for (k = 0; k < nr; k++)
264 		dst[k] = bitmap1[k] ^ bitmap2[k];
265 }
266 EXPORT_SYMBOL(__bitmap_xor);
267 
268 bool __bitmap_andnot(unsigned long *dst, const unsigned long *bitmap1,
269 				const unsigned long *bitmap2, unsigned int bits)
270 {
271 	unsigned int k;
272 	unsigned int lim = bits/BITS_PER_LONG;
273 	unsigned long result = 0;
274 
275 	for (k = 0; k < lim; k++)
276 		result |= (dst[k] = bitmap1[k] & ~bitmap2[k]);
277 	if (bits % BITS_PER_LONG)
278 		result |= (dst[k] = bitmap1[k] & ~bitmap2[k] &
279 			   BITMAP_LAST_WORD_MASK(bits));
280 	return result != 0;
281 }
282 EXPORT_SYMBOL(__bitmap_andnot);
283 
284 void __bitmap_replace(unsigned long *dst,
285 		      const unsigned long *old, const unsigned long *new,
286 		      const unsigned long *mask, unsigned int nbits)
287 {
288 	unsigned int k;
289 	unsigned int nr = BITS_TO_LONGS(nbits);
290 
291 	for (k = 0; k < nr; k++)
292 		dst[k] = (old[k] & ~mask[k]) | (new[k] & mask[k]);
293 }
294 EXPORT_SYMBOL(__bitmap_replace);
295 
296 bool __bitmap_intersects(const unsigned long *bitmap1,
297 			 const unsigned long *bitmap2, unsigned int bits)
298 {
299 	unsigned int k, lim = bits/BITS_PER_LONG;
300 	for (k = 0; k < lim; ++k)
301 		if (bitmap1[k] & bitmap2[k])
302 			return true;
303 
304 	if (bits % BITS_PER_LONG)
305 		if ((bitmap1[k] & bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
306 			return true;
307 	return false;
308 }
309 EXPORT_SYMBOL(__bitmap_intersects);
310 
311 bool __bitmap_subset(const unsigned long *bitmap1,
312 		     const unsigned long *bitmap2, unsigned int bits)
313 {
314 	unsigned int k, lim = bits/BITS_PER_LONG;
315 	for (k = 0; k < lim; ++k)
316 		if (bitmap1[k] & ~bitmap2[k])
317 			return false;
318 
319 	if (bits % BITS_PER_LONG)
320 		if ((bitmap1[k] & ~bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
321 			return false;
322 	return true;
323 }
324 EXPORT_SYMBOL(__bitmap_subset);
325 
326 #define BITMAP_WEIGHT(FETCH, bits)	\
327 ({										\
328 	unsigned int __bits = (bits), idx, w = 0;				\
329 										\
330 	for (idx = 0; idx < __bits / BITS_PER_LONG; idx++)			\
331 		w += hweight_long(FETCH);					\
332 										\
333 	if (__bits % BITS_PER_LONG)						\
334 		w += hweight_long((FETCH) & BITMAP_LAST_WORD_MASK(__bits));	\
335 										\
336 	w;									\
337 })
338 
339 unsigned int __bitmap_weight(const unsigned long *bitmap, unsigned int bits)
340 {
341 	return BITMAP_WEIGHT(bitmap[idx], bits);
342 }
343 EXPORT_SYMBOL(__bitmap_weight);
344 
345 unsigned int __bitmap_weight_and(const unsigned long *bitmap1,
346 				const unsigned long *bitmap2, unsigned int bits)
347 {
348 	return BITMAP_WEIGHT(bitmap1[idx] & bitmap2[idx], bits);
349 }
350 EXPORT_SYMBOL(__bitmap_weight_and);
351 
352 unsigned int __bitmap_weight_andnot(const unsigned long *bitmap1,
353 				const unsigned long *bitmap2, unsigned int bits)
354 {
355 	return BITMAP_WEIGHT(bitmap1[idx] & ~bitmap2[idx], bits);
356 }
357 EXPORT_SYMBOL(__bitmap_weight_andnot);
358 
359 unsigned int __bitmap_weighted_or(unsigned long *dst, const unsigned long *bitmap1,
360 				  const unsigned long *bitmap2, unsigned int bits)
361 {
362 	return BITMAP_WEIGHT(({dst[idx] = bitmap1[idx] | bitmap2[idx]; dst[idx]; }), bits);
363 }
364 EXPORT_SYMBOL(__bitmap_weighted_or);
365 
366 unsigned int __bitmap_weighted_xor(unsigned long *dst, const unsigned long *bitmap1,
367 				  const unsigned long *bitmap2, unsigned int bits)
368 {
369 	return BITMAP_WEIGHT(({dst[idx] = bitmap1[idx] ^ bitmap2[idx]; dst[idx]; }), bits);
370 }
371 EXPORT_SYMBOL(__bitmap_weighted_xor);
372 
373 void __bitmap_set(unsigned long *map, unsigned int start, int len)
374 {
375 	unsigned long *p = map + BIT_WORD(start);
376 	const unsigned int size = start + len;
377 	int bits_to_set = BITS_PER_LONG - (start % BITS_PER_LONG);
378 	unsigned long mask_to_set = BITMAP_FIRST_WORD_MASK(start);
379 
380 	while (len - bits_to_set >= 0) {
381 		*p |= mask_to_set;
382 		len -= bits_to_set;
383 		bits_to_set = BITS_PER_LONG;
384 		mask_to_set = ~0UL;
385 		p++;
386 	}
387 	if (len) {
388 		mask_to_set &= BITMAP_LAST_WORD_MASK(size);
389 		*p |= mask_to_set;
390 	}
391 }
392 EXPORT_SYMBOL(__bitmap_set);
393 
394 void __bitmap_clear(unsigned long *map, unsigned int start, int len)
395 {
396 	unsigned long *p = map + BIT_WORD(start);
397 	const unsigned int size = start + len;
398 	int bits_to_clear = BITS_PER_LONG - (start % BITS_PER_LONG);
399 	unsigned long mask_to_clear = BITMAP_FIRST_WORD_MASK(start);
400 
401 	while (len - bits_to_clear >= 0) {
402 		*p &= ~mask_to_clear;
403 		len -= bits_to_clear;
404 		bits_to_clear = BITS_PER_LONG;
405 		mask_to_clear = ~0UL;
406 		p++;
407 	}
408 	if (len) {
409 		mask_to_clear &= BITMAP_LAST_WORD_MASK(size);
410 		*p &= ~mask_to_clear;
411 	}
412 }
413 EXPORT_SYMBOL(__bitmap_clear);
414 
415 /**
416  * bitmap_find_next_zero_area_off - find a contiguous aligned zero area
417  * @map: The address to base the search on
418  * @size: The bitmap size in bits
419  * @start: The bitnumber to start searching at
420  * @nr: The number of zeroed bits we're looking for
421  * @align_mask: Alignment mask for zero area
422  * @align_offset: Alignment offset for zero area.
423  *
424  * The @align_mask should be one less than a power of 2; the effect is that
425  * the bit offset of all zero areas this function finds plus @align_offset
426  * is multiple of that power of 2.
427  */
428 unsigned long bitmap_find_next_zero_area_off(unsigned long *map,
429 					     unsigned long size,
430 					     unsigned long start,
431 					     unsigned int nr,
432 					     unsigned long align_mask,
433 					     unsigned long align_offset)
434 {
435 	unsigned long index, end, i;
436 again:
437 	index = find_next_zero_bit(map, size, start);
438 
439 	/* Align allocation */
440 	index = __ALIGN_MASK(index + align_offset, align_mask) - align_offset;
441 
442 	end = index + nr;
443 	if (end > size)
444 		return end;
445 	i = find_next_bit(map, end, index);
446 	if (i < end) {
447 		start = i + 1;
448 		goto again;
449 	}
450 	return index;
451 }
452 EXPORT_SYMBOL(bitmap_find_next_zero_area_off);
453 
454 /**
455  * bitmap_pos_to_ord - find ordinal of set bit at given position in bitmap
456  *	@buf: pointer to a bitmap
457  *	@pos: a bit position in @buf (0 <= @pos < @nbits)
458  *	@nbits: number of valid bit positions in @buf
459  *
460  * Map the bit at position @pos in @buf (of length @nbits) to the
461  * ordinal of which set bit it is.  If it is not set or if @pos
462  * is not a valid bit position, map to -1.
463  *
464  * If for example, just bits 4 through 7 are set in @buf, then @pos
465  * values 4 through 7 will get mapped to 0 through 3, respectively,
466  * and other @pos values will get mapped to -1.  When @pos value 7
467  * gets mapped to (returns) @ord value 3 in this example, that means
468  * that bit 7 is the 3rd (starting with 0th) set bit in @buf.
469  *
470  * The bit positions 0 through @bits are valid positions in @buf.
471  */
472 static int bitmap_pos_to_ord(const unsigned long *buf, unsigned int pos, unsigned int nbits)
473 {
474 	if (pos >= nbits || !test_bit(pos, buf))
475 		return -1;
476 
477 	return bitmap_weight(buf, pos);
478 }
479 
480 /**
481  * bitmap_remap - Apply map defined by a pair of bitmaps to another bitmap
482  *	@dst: remapped result
483  *	@src: subset to be remapped
484  *	@old: defines domain of map
485  *	@new: defines range of map
486  *	@nbits: number of bits in each of these bitmaps
487  *
488  * Let @old and @new define a mapping of bit positions, such that
489  * whatever position is held by the n-th set bit in @old is mapped
490  * to the n-th set bit in @new.  In the more general case, allowing
491  * for the possibility that the weight 'w' of @new is less than the
492  * weight of @old, map the position of the n-th set bit in @old to
493  * the position of the m-th set bit in @new, where m == n % w.
494  *
495  * If either of the @old and @new bitmaps are empty, or if @src and
496  * @dst point to the same location, then this routine copies @src
497  * to @dst.
498  *
499  * The positions of unset bits in @old are mapped to themselves
500  * (the identity map).
501  *
502  * Apply the above specified mapping to @src, placing the result in
503  * @dst, clearing any bits previously set in @dst.
504  *
505  * For example, lets say that @old has bits 4 through 7 set, and
506  * @new has bits 12 through 15 set.  This defines the mapping of bit
507  * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
508  * bit positions unchanged.  So if say @src comes into this routine
509  * with bits 1, 5 and 7 set, then @dst should leave with bits 1,
510  * 13 and 15 set.
511  */
512 void bitmap_remap(unsigned long *dst, const unsigned long *src,
513 		const unsigned long *old, const unsigned long *new,
514 		unsigned int nbits)
515 {
516 	unsigned int oldbit, w;
517 
518 	if (dst == src)		/* following doesn't handle inplace remaps */
519 		return;
520 	bitmap_zero(dst, nbits);
521 
522 	w = bitmap_weight(new, nbits);
523 	for_each_set_bit(oldbit, src, nbits) {
524 		int n = bitmap_pos_to_ord(old, oldbit, nbits);
525 
526 		if (n < 0 || w == 0)
527 			set_bit(oldbit, dst);	/* identity map */
528 		else
529 			set_bit(find_nth_bit(new, nbits, n % w), dst);
530 	}
531 }
532 EXPORT_SYMBOL(bitmap_remap);
533 
534 /**
535  * bitmap_bitremap - Apply map defined by a pair of bitmaps to a single bit
536  *	@oldbit: bit position to be mapped
537  *	@old: defines domain of map
538  *	@new: defines range of map
539  *	@bits: number of bits in each of these bitmaps
540  *
541  * Let @old and @new define a mapping of bit positions, such that
542  * whatever position is held by the n-th set bit in @old is mapped
543  * to the n-th set bit in @new.  In the more general case, allowing
544  * for the possibility that the weight 'w' of @new is less than the
545  * weight of @old, map the position of the n-th set bit in @old to
546  * the position of the m-th set bit in @new, where m == n % w.
547  *
548  * The positions of unset bits in @old are mapped to themselves
549  * (the identity map).
550  *
551  * Apply the above specified mapping to bit position @oldbit, returning
552  * the new bit position.
553  *
554  * For example, lets say that @old has bits 4 through 7 set, and
555  * @new has bits 12 through 15 set.  This defines the mapping of bit
556  * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
557  * bit positions unchanged.  So if say @oldbit is 5, then this routine
558  * returns 13.
559  */
560 int bitmap_bitremap(int oldbit, const unsigned long *old,
561 				const unsigned long *new, int bits)
562 {
563 	int w = bitmap_weight(new, bits);
564 	int n = bitmap_pos_to_ord(old, oldbit, bits);
565 	if (n < 0 || w == 0)
566 		return oldbit;
567 	else
568 		return find_nth_bit(new, bits, n % w);
569 }
570 EXPORT_SYMBOL(bitmap_bitremap);
571 
572 #ifdef CONFIG_NUMA
573 /**
574  * bitmap_onto - translate one bitmap relative to another
575  *	@dst: resulting translated bitmap
576  * 	@orig: original untranslated bitmap
577  * 	@relmap: bitmap relative to which translated
578  *	@bits: number of bits in each of these bitmaps
579  *
580  * Set the n-th bit of @dst iff there exists some m such that the
581  * n-th bit of @relmap is set, the m-th bit of @orig is set, and
582  * the n-th bit of @relmap is also the m-th _set_ bit of @relmap.
583  * (If you understood the previous sentence the first time your
584  * read it, you're overqualified for your current job.)
585  *
586  * In other words, @orig is mapped onto (surjectively) @dst,
587  * using the map { <n, m> | the n-th bit of @relmap is the
588  * m-th set bit of @relmap }.
589  *
590  * Any set bits in @orig above bit number W, where W is the
591  * weight of (number of set bits in) @relmap are mapped nowhere.
592  * In particular, if for all bits m set in @orig, m >= W, then
593  * @dst will end up empty.  In situations where the possibility
594  * of such an empty result is not desired, one way to avoid it is
595  * to use the bitmap_fold() operator, below, to first fold the
596  * @orig bitmap over itself so that all its set bits x are in the
597  * range 0 <= x < W.  The bitmap_fold() operator does this by
598  * setting the bit (m % W) in @dst, for each bit (m) set in @orig.
599  *
600  * Example [1] for bitmap_onto():
601  *  Let's say @relmap has bits 30-39 set, and @orig has bits
602  *  1, 3, 5, 7, 9 and 11 set.  Then on return from this routine,
603  *  @dst will have bits 31, 33, 35, 37 and 39 set.
604  *
605  *  When bit 0 is set in @orig, it means turn on the bit in
606  *  @dst corresponding to whatever is the first bit (if any)
607  *  that is turned on in @relmap.  Since bit 0 was off in the
608  *  above example, we leave off that bit (bit 30) in @dst.
609  *
610  *  When bit 1 is set in @orig (as in the above example), it
611  *  means turn on the bit in @dst corresponding to whatever
612  *  is the second bit that is turned on in @relmap.  The second
613  *  bit in @relmap that was turned on in the above example was
614  *  bit 31, so we turned on bit 31 in @dst.
615  *
616  *  Similarly, we turned on bits 33, 35, 37 and 39 in @dst,
617  *  because they were the 4th, 6th, 8th and 10th set bits
618  *  set in @relmap, and the 4th, 6th, 8th and 10th bits of
619  *  @orig (i.e. bits 3, 5, 7 and 9) were also set.
620  *
621  *  When bit 11 is set in @orig, it means turn on the bit in
622  *  @dst corresponding to whatever is the twelfth bit that is
623  *  turned on in @relmap.  In the above example, there were
624  *  only ten bits turned on in @relmap (30..39), so that bit
625  *  11 was set in @orig had no affect on @dst.
626  *
627  * Example [2] for bitmap_fold() + bitmap_onto():
628  *  Let's say @relmap has these ten bits set::
629  *
630  *		40 41 42 43 45 48 53 61 74 95
631  *
632  *  (for the curious, that's 40 plus the first ten terms of the
633  *  Fibonacci sequence.)
634  *
635  *  Further lets say we use the following code, invoking
636  *  bitmap_fold() then bitmap_onto, as suggested above to
637  *  avoid the possibility of an empty @dst result::
638  *
639  *	unsigned long *tmp;	// a temporary bitmap's bits
640  *
641  *	bitmap_fold(tmp, orig, bitmap_weight(relmap, bits), bits);
642  *	bitmap_onto(dst, tmp, relmap, bits);
643  *
644  *  Then this table shows what various values of @dst would be, for
645  *  various @orig's.  I list the zero-based positions of each set bit.
646  *  The tmp column shows the intermediate result, as computed by
647  *  using bitmap_fold() to fold the @orig bitmap modulo ten
648  *  (the weight of @relmap):
649  *
650  *      =============== ============== =================
651  *      @orig           tmp            @dst
652  *      0                0             40
653  *      1                1             41
654  *      9                9             95
655  *      10               0             40 [#f1]_
656  *      1 3 5 7          1 3 5 7       41 43 48 61
657  *      0 1 2 3 4        0 1 2 3 4     40 41 42 43 45
658  *      0 9 18 27        0 9 8 7       40 61 74 95
659  *      0 10 20 30       0             40
660  *      0 11 22 33       0 1 2 3       40 41 42 43
661  *      0 12 24 36       0 2 4 6       40 42 45 53
662  *      78 102 211       1 2 8         41 42 74 [#f1]_
663  *      =============== ============== =================
664  *
665  * .. [#f1]
666  *
667  *     For these marked lines, if we hadn't first done bitmap_fold()
668  *     into tmp, then the @dst result would have been empty.
669  *
670  * If either of @orig or @relmap is empty (no set bits), then @dst
671  * will be returned empty.
672  *
673  * If (as explained above) the only set bits in @orig are in positions
674  * m where m >= W, (where W is the weight of @relmap) then @dst will
675  * once again be returned empty.
676  *
677  * All bits in @dst not set by the above rule are cleared.
678  */
679 void bitmap_onto(unsigned long *dst, const unsigned long *orig,
680 			const unsigned long *relmap, unsigned int bits)
681 {
682 	unsigned int n, m;	/* same meaning as in above comment */
683 
684 	if (dst == orig)	/* following doesn't handle inplace mappings */
685 		return;
686 	bitmap_zero(dst, bits);
687 
688 	/*
689 	 * The following code is a more efficient, but less
690 	 * obvious, equivalent to the loop:
691 	 *	for (m = 0; m < bitmap_weight(relmap, bits); m++) {
692 	 *		n = find_nth_bit(orig, bits, m);
693 	 *		if (test_bit(m, orig))
694 	 *			set_bit(n, dst);
695 	 *	}
696 	 */
697 
698 	m = 0;
699 	for_each_set_bit(n, relmap, bits) {
700 		/* m == bitmap_pos_to_ord(relmap, n, bits) */
701 		if (test_bit(m, orig))
702 			set_bit(n, dst);
703 		m++;
704 	}
705 }
706 
707 /**
708  * bitmap_fold - fold larger bitmap into smaller, modulo specified size
709  *	@dst: resulting smaller bitmap
710  *	@orig: original larger bitmap
711  *	@sz: specified size
712  *	@nbits: number of bits in each of these bitmaps
713  *
714  * For each bit oldbit in @orig, set bit oldbit mod @sz in @dst.
715  * Clear all other bits in @dst.  See further the comment and
716  * Example [2] for bitmap_onto() for why and how to use this.
717  */
718 void bitmap_fold(unsigned long *dst, const unsigned long *orig,
719 			unsigned int sz, unsigned int nbits)
720 {
721 	unsigned int oldbit;
722 
723 	if (dst == orig)	/* following doesn't handle inplace mappings */
724 		return;
725 	bitmap_zero(dst, nbits);
726 
727 	for_each_set_bit(oldbit, orig, nbits)
728 		set_bit(oldbit % sz, dst);
729 }
730 #endif /* CONFIG_NUMA */
731 
732 unsigned long *bitmap_alloc(unsigned int nbits, gfp_t flags)
733 {
734 	return kmalloc_array(BITS_TO_LONGS(nbits), sizeof(unsigned long),
735 			     flags);
736 }
737 EXPORT_SYMBOL(bitmap_alloc);
738 
739 unsigned long *bitmap_zalloc(unsigned int nbits, gfp_t flags)
740 {
741 	return bitmap_alloc(nbits, flags | __GFP_ZERO);
742 }
743 EXPORT_SYMBOL(bitmap_zalloc);
744 
745 unsigned long *bitmap_alloc_node(unsigned int nbits, gfp_t flags, int node)
746 {
747 	return kmalloc_array_node(BITS_TO_LONGS(nbits), sizeof(unsigned long),
748 				  flags, node);
749 }
750 EXPORT_SYMBOL(bitmap_alloc_node);
751 
752 unsigned long *bitmap_zalloc_node(unsigned int nbits, gfp_t flags, int node)
753 {
754 	return bitmap_alloc_node(nbits, flags | __GFP_ZERO, node);
755 }
756 EXPORT_SYMBOL(bitmap_zalloc_node);
757 
758 void bitmap_free(const unsigned long *bitmap)
759 {
760 	kfree(bitmap);
761 }
762 EXPORT_SYMBOL(bitmap_free);
763 
764 static void devm_bitmap_free(void *data)
765 {
766 	unsigned long *bitmap = data;
767 
768 	bitmap_free(bitmap);
769 }
770 
771 unsigned long *devm_bitmap_alloc(struct device *dev,
772 				 unsigned int nbits, gfp_t flags)
773 {
774 	unsigned long *bitmap;
775 	int ret;
776 
777 	bitmap = bitmap_alloc(nbits, flags);
778 	if (!bitmap)
779 		return NULL;
780 
781 	ret = devm_add_action_or_reset(dev, devm_bitmap_free, bitmap);
782 	if (ret)
783 		return NULL;
784 
785 	return bitmap;
786 }
787 EXPORT_SYMBOL_GPL(devm_bitmap_alloc);
788 
789 unsigned long *devm_bitmap_zalloc(struct device *dev,
790 				  unsigned int nbits, gfp_t flags)
791 {
792 	return devm_bitmap_alloc(dev, nbits, flags | __GFP_ZERO);
793 }
794 EXPORT_SYMBOL_GPL(devm_bitmap_zalloc);
795 
796 #if BITS_PER_LONG == 64
797 /**
798  * bitmap_from_arr32 - copy the contents of u32 array of bits to bitmap
799  *	@bitmap: array of unsigned longs, the destination bitmap
800  *	@buf: array of u32 (in host byte order), the source bitmap
801  *	@nbits: number of bits in @bitmap
802  */
803 void bitmap_from_arr32(unsigned long *bitmap, const u32 *buf, unsigned int nbits)
804 {
805 	unsigned int i, halfwords;
806 
807 	halfwords = DIV_ROUND_UP(nbits, 32);
808 	for (i = 0; i < halfwords; i++) {
809 		bitmap[i/2] = (unsigned long) buf[i];
810 		if (++i < halfwords)
811 			bitmap[i/2] |= ((unsigned long) buf[i]) << 32;
812 	}
813 
814 	/* Clear tail bits in last word beyond nbits. */
815 	if (nbits % BITS_PER_LONG)
816 		bitmap[(halfwords - 1) / 2] &= BITMAP_LAST_WORD_MASK(nbits);
817 }
818 EXPORT_SYMBOL(bitmap_from_arr32);
819 
820 /**
821  * bitmap_to_arr32 - copy the contents of bitmap to a u32 array of bits
822  *	@buf: array of u32 (in host byte order), the dest bitmap
823  *	@bitmap: array of unsigned longs, the source bitmap
824  *	@nbits: number of bits in @bitmap
825  */
826 void bitmap_to_arr32(u32 *buf, const unsigned long *bitmap, unsigned int nbits)
827 {
828 	unsigned int i, halfwords;
829 
830 	halfwords = DIV_ROUND_UP(nbits, 32);
831 	for (i = 0; i < halfwords; i++) {
832 		buf[i] = (u32) (bitmap[i/2] & UINT_MAX);
833 		if (++i < halfwords)
834 			buf[i] = (u32) (bitmap[i/2] >> 32);
835 	}
836 
837 	/* Clear tail bits in last element of array beyond nbits. */
838 	if (nbits % BITS_PER_LONG)
839 		buf[halfwords - 1] &= (u32) (UINT_MAX >> ((-nbits) & 31));
840 }
841 EXPORT_SYMBOL(bitmap_to_arr32);
842 #endif
843 
844 #if BITS_PER_LONG == 32
845 /**
846  * bitmap_from_arr64 - copy the contents of u64 array of bits to bitmap
847  *	@bitmap: array of unsigned longs, the destination bitmap
848  *	@buf: array of u64 (in host byte order), the source bitmap
849  *	@nbits: number of bits in @bitmap
850  */
851 void bitmap_from_arr64(unsigned long *bitmap, const u64 *buf, unsigned int nbits)
852 {
853 	int n;
854 
855 	for (n = nbits; n > 0; n -= 64) {
856 		u64 val = *buf++;
857 
858 		*bitmap++ = val;
859 		if (n > 32)
860 			*bitmap++ = val >> 32;
861 	}
862 
863 	/*
864 	 * Clear tail bits in the last word beyond nbits.
865 	 *
866 	 * Negative index is OK because here we point to the word next
867 	 * to the last word of the bitmap, except for nbits == 0, which
868 	 * is tested implicitly.
869 	 */
870 	if (nbits % BITS_PER_LONG)
871 		bitmap[-1] &= BITMAP_LAST_WORD_MASK(nbits);
872 }
873 EXPORT_SYMBOL(bitmap_from_arr64);
874 
875 /**
876  * bitmap_to_arr64 - copy the contents of bitmap to a u64 array of bits
877  *	@buf: array of u64 (in host byte order), the dest bitmap
878  *	@bitmap: array of unsigned longs, the source bitmap
879  *	@nbits: number of bits in @bitmap
880  */
881 void bitmap_to_arr64(u64 *buf, const unsigned long *bitmap, unsigned int nbits)
882 {
883 	const unsigned long *end = bitmap + BITS_TO_LONGS(nbits);
884 
885 	while (bitmap < end) {
886 		*buf = *bitmap++;
887 		if (bitmap < end)
888 			*buf |= (u64)(*bitmap++) << 32;
889 		buf++;
890 	}
891 
892 	/* Clear tail bits in the last element of array beyond nbits. */
893 	if (nbits % 64)
894 		buf[-1] &= GENMASK_ULL((nbits - 1) % 64, 0);
895 }
896 EXPORT_SYMBOL(bitmap_to_arr64);
897 #endif
898