xref: /openbmc/linux/lib/bitmap.c (revision 25985edc)
1 /*
2  * lib/bitmap.c
3  * Helper functions for bitmap.h.
4  *
5  * This source code is licensed under the GNU General Public License,
6  * Version 2.  See the file COPYING for more details.
7  */
8 #include <linux/module.h>
9 #include <linux/ctype.h>
10 #include <linux/errno.h>
11 #include <linux/bitmap.h>
12 #include <linux/bitops.h>
13 #include <asm/uaccess.h>
14 
15 /*
16  * bitmaps provide an array of bits, implemented using an an
17  * array of unsigned longs.  The number of valid bits in a
18  * given bitmap does _not_ need to be an exact multiple of
19  * BITS_PER_LONG.
20  *
21  * The possible unused bits in the last, partially used word
22  * of a bitmap are 'don't care'.  The implementation makes
23  * no particular effort to keep them zero.  It ensures that
24  * their value will not affect the results of any operation.
25  * The bitmap operations that return Boolean (bitmap_empty,
26  * for example) or scalar (bitmap_weight, for example) results
27  * carefully filter out these unused bits from impacting their
28  * results.
29  *
30  * These operations actually hold to a slightly stronger rule:
31  * if you don't input any bitmaps to these ops that have some
32  * unused bits set, then they won't output any set unused bits
33  * in output bitmaps.
34  *
35  * The byte ordering of bitmaps is more natural on little
36  * endian architectures.  See the big-endian headers
37  * include/asm-ppc64/bitops.h and include/asm-s390/bitops.h
38  * for the best explanations of this ordering.
39  */
40 
41 int __bitmap_empty(const unsigned long *bitmap, int bits)
42 {
43 	int k, lim = bits/BITS_PER_LONG;
44 	for (k = 0; k < lim; ++k)
45 		if (bitmap[k])
46 			return 0;
47 
48 	if (bits % BITS_PER_LONG)
49 		if (bitmap[k] & BITMAP_LAST_WORD_MASK(bits))
50 			return 0;
51 
52 	return 1;
53 }
54 EXPORT_SYMBOL(__bitmap_empty);
55 
56 int __bitmap_full(const unsigned long *bitmap, int bits)
57 {
58 	int k, lim = bits/BITS_PER_LONG;
59 	for (k = 0; k < lim; ++k)
60 		if (~bitmap[k])
61 			return 0;
62 
63 	if (bits % BITS_PER_LONG)
64 		if (~bitmap[k] & BITMAP_LAST_WORD_MASK(bits))
65 			return 0;
66 
67 	return 1;
68 }
69 EXPORT_SYMBOL(__bitmap_full);
70 
71 int __bitmap_equal(const unsigned long *bitmap1,
72 		const unsigned long *bitmap2, int bits)
73 {
74 	int k, lim = bits/BITS_PER_LONG;
75 	for (k = 0; k < lim; ++k)
76 		if (bitmap1[k] != bitmap2[k])
77 			return 0;
78 
79 	if (bits % BITS_PER_LONG)
80 		if ((bitmap1[k] ^ bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
81 			return 0;
82 
83 	return 1;
84 }
85 EXPORT_SYMBOL(__bitmap_equal);
86 
87 void __bitmap_complement(unsigned long *dst, const unsigned long *src, int bits)
88 {
89 	int k, lim = bits/BITS_PER_LONG;
90 	for (k = 0; k < lim; ++k)
91 		dst[k] = ~src[k];
92 
93 	if (bits % BITS_PER_LONG)
94 		dst[k] = ~src[k] & BITMAP_LAST_WORD_MASK(bits);
95 }
96 EXPORT_SYMBOL(__bitmap_complement);
97 
98 /**
99  * __bitmap_shift_right - logical right shift of the bits in a bitmap
100  *   @dst : destination bitmap
101  *   @src : source bitmap
102  *   @shift : shift by this many bits
103  *   @bits : bitmap size, in bits
104  *
105  * Shifting right (dividing) means moving bits in the MS -> LS bit
106  * direction.  Zeros are fed into the vacated MS positions and the
107  * LS bits shifted off the bottom are lost.
108  */
109 void __bitmap_shift_right(unsigned long *dst,
110 			const unsigned long *src, int shift, int bits)
111 {
112 	int k, lim = BITS_TO_LONGS(bits), left = bits % BITS_PER_LONG;
113 	int off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG;
114 	unsigned long mask = (1UL << left) - 1;
115 	for (k = 0; off + k < lim; ++k) {
116 		unsigned long upper, lower;
117 
118 		/*
119 		 * If shift is not word aligned, take lower rem bits of
120 		 * word above and make them the top rem bits of result.
121 		 */
122 		if (!rem || off + k + 1 >= lim)
123 			upper = 0;
124 		else {
125 			upper = src[off + k + 1];
126 			if (off + k + 1 == lim - 1 && left)
127 				upper &= mask;
128 		}
129 		lower = src[off + k];
130 		if (left && off + k == lim - 1)
131 			lower &= mask;
132 		dst[k] = upper << (BITS_PER_LONG - rem) | lower >> rem;
133 		if (left && k == lim - 1)
134 			dst[k] &= mask;
135 	}
136 	if (off)
137 		memset(&dst[lim - off], 0, off*sizeof(unsigned long));
138 }
139 EXPORT_SYMBOL(__bitmap_shift_right);
140 
141 
142 /**
143  * __bitmap_shift_left - logical left shift of the bits in a bitmap
144  *   @dst : destination bitmap
145  *   @src : source bitmap
146  *   @shift : shift by this many bits
147  *   @bits : bitmap size, in bits
148  *
149  * Shifting left (multiplying) means moving bits in the LS -> MS
150  * direction.  Zeros are fed into the vacated LS bit positions
151  * and those MS bits shifted off the top are lost.
152  */
153 
154 void __bitmap_shift_left(unsigned long *dst,
155 			const unsigned long *src, int shift, int bits)
156 {
157 	int k, lim = BITS_TO_LONGS(bits), left = bits % BITS_PER_LONG;
158 	int off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG;
159 	for (k = lim - off - 1; k >= 0; --k) {
160 		unsigned long upper, lower;
161 
162 		/*
163 		 * If shift is not word aligned, take upper rem bits of
164 		 * word below and make them the bottom rem bits of result.
165 		 */
166 		if (rem && k > 0)
167 			lower = src[k - 1];
168 		else
169 			lower = 0;
170 		upper = src[k];
171 		if (left && k == lim - 1)
172 			upper &= (1UL << left) - 1;
173 		dst[k + off] = lower  >> (BITS_PER_LONG - rem) | upper << rem;
174 		if (left && k + off == lim - 1)
175 			dst[k + off] &= (1UL << left) - 1;
176 	}
177 	if (off)
178 		memset(dst, 0, off*sizeof(unsigned long));
179 }
180 EXPORT_SYMBOL(__bitmap_shift_left);
181 
182 int __bitmap_and(unsigned long *dst, const unsigned long *bitmap1,
183 				const unsigned long *bitmap2, int bits)
184 {
185 	int k;
186 	int nr = BITS_TO_LONGS(bits);
187 	unsigned long result = 0;
188 
189 	for (k = 0; k < nr; k++)
190 		result |= (dst[k] = bitmap1[k] & bitmap2[k]);
191 	return result != 0;
192 }
193 EXPORT_SYMBOL(__bitmap_and);
194 
195 void __bitmap_or(unsigned long *dst, const unsigned long *bitmap1,
196 				const unsigned long *bitmap2, int bits)
197 {
198 	int k;
199 	int nr = BITS_TO_LONGS(bits);
200 
201 	for (k = 0; k < nr; k++)
202 		dst[k] = bitmap1[k] | bitmap2[k];
203 }
204 EXPORT_SYMBOL(__bitmap_or);
205 
206 void __bitmap_xor(unsigned long *dst, const unsigned long *bitmap1,
207 				const unsigned long *bitmap2, int bits)
208 {
209 	int k;
210 	int nr = BITS_TO_LONGS(bits);
211 
212 	for (k = 0; k < nr; k++)
213 		dst[k] = bitmap1[k] ^ bitmap2[k];
214 }
215 EXPORT_SYMBOL(__bitmap_xor);
216 
217 int __bitmap_andnot(unsigned long *dst, const unsigned long *bitmap1,
218 				const unsigned long *bitmap2, int bits)
219 {
220 	int k;
221 	int nr = BITS_TO_LONGS(bits);
222 	unsigned long result = 0;
223 
224 	for (k = 0; k < nr; k++)
225 		result |= (dst[k] = bitmap1[k] & ~bitmap2[k]);
226 	return result != 0;
227 }
228 EXPORT_SYMBOL(__bitmap_andnot);
229 
230 int __bitmap_intersects(const unsigned long *bitmap1,
231 				const unsigned long *bitmap2, int bits)
232 {
233 	int k, lim = bits/BITS_PER_LONG;
234 	for (k = 0; k < lim; ++k)
235 		if (bitmap1[k] & bitmap2[k])
236 			return 1;
237 
238 	if (bits % BITS_PER_LONG)
239 		if ((bitmap1[k] & bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
240 			return 1;
241 	return 0;
242 }
243 EXPORT_SYMBOL(__bitmap_intersects);
244 
245 int __bitmap_subset(const unsigned long *bitmap1,
246 				const unsigned long *bitmap2, int bits)
247 {
248 	int k, lim = bits/BITS_PER_LONG;
249 	for (k = 0; k < lim; ++k)
250 		if (bitmap1[k] & ~bitmap2[k])
251 			return 0;
252 
253 	if (bits % BITS_PER_LONG)
254 		if ((bitmap1[k] & ~bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
255 			return 0;
256 	return 1;
257 }
258 EXPORT_SYMBOL(__bitmap_subset);
259 
260 int __bitmap_weight(const unsigned long *bitmap, int bits)
261 {
262 	int k, w = 0, lim = bits/BITS_PER_LONG;
263 
264 	for (k = 0; k < lim; k++)
265 		w += hweight_long(bitmap[k]);
266 
267 	if (bits % BITS_PER_LONG)
268 		w += hweight_long(bitmap[k] & BITMAP_LAST_WORD_MASK(bits));
269 
270 	return w;
271 }
272 EXPORT_SYMBOL(__bitmap_weight);
273 
274 #define BITMAP_FIRST_WORD_MASK(start) (~0UL << ((start) % BITS_PER_LONG))
275 
276 void bitmap_set(unsigned long *map, int start, int nr)
277 {
278 	unsigned long *p = map + BIT_WORD(start);
279 	const int size = start + nr;
280 	int bits_to_set = BITS_PER_LONG - (start % BITS_PER_LONG);
281 	unsigned long mask_to_set = BITMAP_FIRST_WORD_MASK(start);
282 
283 	while (nr - bits_to_set >= 0) {
284 		*p |= mask_to_set;
285 		nr -= bits_to_set;
286 		bits_to_set = BITS_PER_LONG;
287 		mask_to_set = ~0UL;
288 		p++;
289 	}
290 	if (nr) {
291 		mask_to_set &= BITMAP_LAST_WORD_MASK(size);
292 		*p |= mask_to_set;
293 	}
294 }
295 EXPORT_SYMBOL(bitmap_set);
296 
297 void bitmap_clear(unsigned long *map, int start, int nr)
298 {
299 	unsigned long *p = map + BIT_WORD(start);
300 	const int size = start + nr;
301 	int bits_to_clear = BITS_PER_LONG - (start % BITS_PER_LONG);
302 	unsigned long mask_to_clear = BITMAP_FIRST_WORD_MASK(start);
303 
304 	while (nr - bits_to_clear >= 0) {
305 		*p &= ~mask_to_clear;
306 		nr -= bits_to_clear;
307 		bits_to_clear = BITS_PER_LONG;
308 		mask_to_clear = ~0UL;
309 		p++;
310 	}
311 	if (nr) {
312 		mask_to_clear &= BITMAP_LAST_WORD_MASK(size);
313 		*p &= ~mask_to_clear;
314 	}
315 }
316 EXPORT_SYMBOL(bitmap_clear);
317 
318 /*
319  * bitmap_find_next_zero_area - find a contiguous aligned zero area
320  * @map: The address to base the search on
321  * @size: The bitmap size in bits
322  * @start: The bitnumber to start searching at
323  * @nr: The number of zeroed bits we're looking for
324  * @align_mask: Alignment mask for zero area
325  *
326  * The @align_mask should be one less than a power of 2; the effect is that
327  * the bit offset of all zero areas this function finds is multiples of that
328  * power of 2. A @align_mask of 0 means no alignment is required.
329  */
330 unsigned long bitmap_find_next_zero_area(unsigned long *map,
331 					 unsigned long size,
332 					 unsigned long start,
333 					 unsigned int nr,
334 					 unsigned long align_mask)
335 {
336 	unsigned long index, end, i;
337 again:
338 	index = find_next_zero_bit(map, size, start);
339 
340 	/* Align allocation */
341 	index = __ALIGN_MASK(index, align_mask);
342 
343 	end = index + nr;
344 	if (end > size)
345 		return end;
346 	i = find_next_bit(map, end, index);
347 	if (i < end) {
348 		start = i + 1;
349 		goto again;
350 	}
351 	return index;
352 }
353 EXPORT_SYMBOL(bitmap_find_next_zero_area);
354 
355 /*
356  * Bitmap printing & parsing functions: first version by Bill Irwin,
357  * second version by Paul Jackson, third by Joe Korty.
358  */
359 
360 #define CHUNKSZ				32
361 #define nbits_to_hold_value(val)	fls(val)
362 #define BASEDEC 10		/* fancier cpuset lists input in decimal */
363 
364 /**
365  * bitmap_scnprintf - convert bitmap to an ASCII hex string.
366  * @buf: byte buffer into which string is placed
367  * @buflen: reserved size of @buf, in bytes
368  * @maskp: pointer to bitmap to convert
369  * @nmaskbits: size of bitmap, in bits
370  *
371  * Exactly @nmaskbits bits are displayed.  Hex digits are grouped into
372  * comma-separated sets of eight digits per set.
373  */
374 int bitmap_scnprintf(char *buf, unsigned int buflen,
375 	const unsigned long *maskp, int nmaskbits)
376 {
377 	int i, word, bit, len = 0;
378 	unsigned long val;
379 	const char *sep = "";
380 	int chunksz;
381 	u32 chunkmask;
382 
383 	chunksz = nmaskbits & (CHUNKSZ - 1);
384 	if (chunksz == 0)
385 		chunksz = CHUNKSZ;
386 
387 	i = ALIGN(nmaskbits, CHUNKSZ) - CHUNKSZ;
388 	for (; i >= 0; i -= CHUNKSZ) {
389 		chunkmask = ((1ULL << chunksz) - 1);
390 		word = i / BITS_PER_LONG;
391 		bit = i % BITS_PER_LONG;
392 		val = (maskp[word] >> bit) & chunkmask;
393 		len += scnprintf(buf+len, buflen-len, "%s%0*lx", sep,
394 			(chunksz+3)/4, val);
395 		chunksz = CHUNKSZ;
396 		sep = ",";
397 	}
398 	return len;
399 }
400 EXPORT_SYMBOL(bitmap_scnprintf);
401 
402 /**
403  * __bitmap_parse - convert an ASCII hex string into a bitmap.
404  * @buf: pointer to buffer containing string.
405  * @buflen: buffer size in bytes.  If string is smaller than this
406  *    then it must be terminated with a \0.
407  * @is_user: location of buffer, 0 indicates kernel space
408  * @maskp: pointer to bitmap array that will contain result.
409  * @nmaskbits: size of bitmap, in bits.
410  *
411  * Commas group hex digits into chunks.  Each chunk defines exactly 32
412  * bits of the resultant bitmask.  No chunk may specify a value larger
413  * than 32 bits (%-EOVERFLOW), and if a chunk specifies a smaller value
414  * then leading 0-bits are prepended.  %-EINVAL is returned for illegal
415  * characters and for grouping errors such as "1,,5", ",44", "," and "".
416  * Leading and trailing whitespace accepted, but not embedded whitespace.
417  */
418 int __bitmap_parse(const char *buf, unsigned int buflen,
419 		int is_user, unsigned long *maskp,
420 		int nmaskbits)
421 {
422 	int c, old_c, totaldigits, ndigits, nchunks, nbits;
423 	u32 chunk;
424 	const char __user *ubuf = buf;
425 
426 	bitmap_zero(maskp, nmaskbits);
427 
428 	nchunks = nbits = totaldigits = c = 0;
429 	do {
430 		chunk = ndigits = 0;
431 
432 		/* Get the next chunk of the bitmap */
433 		while (buflen) {
434 			old_c = c;
435 			if (is_user) {
436 				if (__get_user(c, ubuf++))
437 					return -EFAULT;
438 			}
439 			else
440 				c = *buf++;
441 			buflen--;
442 			if (isspace(c))
443 				continue;
444 
445 			/*
446 			 * If the last character was a space and the current
447 			 * character isn't '\0', we've got embedded whitespace.
448 			 * This is a no-no, so throw an error.
449 			 */
450 			if (totaldigits && c && isspace(old_c))
451 				return -EINVAL;
452 
453 			/* A '\0' or a ',' signal the end of the chunk */
454 			if (c == '\0' || c == ',')
455 				break;
456 
457 			if (!isxdigit(c))
458 				return -EINVAL;
459 
460 			/*
461 			 * Make sure there are at least 4 free bits in 'chunk'.
462 			 * If not, this hexdigit will overflow 'chunk', so
463 			 * throw an error.
464 			 */
465 			if (chunk & ~((1UL << (CHUNKSZ - 4)) - 1))
466 				return -EOVERFLOW;
467 
468 			chunk = (chunk << 4) | hex_to_bin(c);
469 			ndigits++; totaldigits++;
470 		}
471 		if (ndigits == 0)
472 			return -EINVAL;
473 		if (nchunks == 0 && chunk == 0)
474 			continue;
475 
476 		__bitmap_shift_left(maskp, maskp, CHUNKSZ, nmaskbits);
477 		*maskp |= chunk;
478 		nchunks++;
479 		nbits += (nchunks == 1) ? nbits_to_hold_value(chunk) : CHUNKSZ;
480 		if (nbits > nmaskbits)
481 			return -EOVERFLOW;
482 	} while (buflen && c == ',');
483 
484 	return 0;
485 }
486 EXPORT_SYMBOL(__bitmap_parse);
487 
488 /**
489  * bitmap_parse_user - convert an ASCII hex string in a user buffer into a bitmap
490  *
491  * @ubuf: pointer to user buffer containing string.
492  * @ulen: buffer size in bytes.  If string is smaller than this
493  *    then it must be terminated with a \0.
494  * @maskp: pointer to bitmap array that will contain result.
495  * @nmaskbits: size of bitmap, in bits.
496  *
497  * Wrapper for __bitmap_parse(), providing it with user buffer.
498  *
499  * We cannot have this as an inline function in bitmap.h because it needs
500  * linux/uaccess.h to get the access_ok() declaration and this causes
501  * cyclic dependencies.
502  */
503 int bitmap_parse_user(const char __user *ubuf,
504 			unsigned int ulen, unsigned long *maskp,
505 			int nmaskbits)
506 {
507 	if (!access_ok(VERIFY_READ, ubuf, ulen))
508 		return -EFAULT;
509 	return __bitmap_parse((const char *)ubuf, ulen, 1, maskp, nmaskbits);
510 }
511 EXPORT_SYMBOL(bitmap_parse_user);
512 
513 /*
514  * bscnl_emit(buf, buflen, rbot, rtop, bp)
515  *
516  * Helper routine for bitmap_scnlistprintf().  Write decimal number
517  * or range to buf, suppressing output past buf+buflen, with optional
518  * comma-prefix.  Return len of what would be written to buf, if it
519  * all fit.
520  */
521 static inline int bscnl_emit(char *buf, int buflen, int rbot, int rtop, int len)
522 {
523 	if (len > 0)
524 		len += scnprintf(buf + len, buflen - len, ",");
525 	if (rbot == rtop)
526 		len += scnprintf(buf + len, buflen - len, "%d", rbot);
527 	else
528 		len += scnprintf(buf + len, buflen - len, "%d-%d", rbot, rtop);
529 	return len;
530 }
531 
532 /**
533  * bitmap_scnlistprintf - convert bitmap to list format ASCII string
534  * @buf: byte buffer into which string is placed
535  * @buflen: reserved size of @buf, in bytes
536  * @maskp: pointer to bitmap to convert
537  * @nmaskbits: size of bitmap, in bits
538  *
539  * Output format is a comma-separated list of decimal numbers and
540  * ranges.  Consecutively set bits are shown as two hyphen-separated
541  * decimal numbers, the smallest and largest bit numbers set in
542  * the range.  Output format is compatible with the format
543  * accepted as input by bitmap_parselist().
544  *
545  * The return value is the number of characters which would be
546  * generated for the given input, excluding the trailing '\0', as
547  * per ISO C99.
548  */
549 int bitmap_scnlistprintf(char *buf, unsigned int buflen,
550 	const unsigned long *maskp, int nmaskbits)
551 {
552 	int len = 0;
553 	/* current bit is 'cur', most recently seen range is [rbot, rtop] */
554 	int cur, rbot, rtop;
555 
556 	if (buflen == 0)
557 		return 0;
558 	buf[0] = 0;
559 
560 	rbot = cur = find_first_bit(maskp, nmaskbits);
561 	while (cur < nmaskbits) {
562 		rtop = cur;
563 		cur = find_next_bit(maskp, nmaskbits, cur+1);
564 		if (cur >= nmaskbits || cur > rtop + 1) {
565 			len = bscnl_emit(buf, buflen, rbot, rtop, len);
566 			rbot = cur;
567 		}
568 	}
569 	return len;
570 }
571 EXPORT_SYMBOL(bitmap_scnlistprintf);
572 
573 /**
574  * bitmap_parselist - convert list format ASCII string to bitmap
575  * @bp: read nul-terminated user string from this buffer
576  * @maskp: write resulting mask here
577  * @nmaskbits: number of bits in mask to be written
578  *
579  * Input format is a comma-separated list of decimal numbers and
580  * ranges.  Consecutively set bits are shown as two hyphen-separated
581  * decimal numbers, the smallest and largest bit numbers set in
582  * the range.
583  *
584  * Returns 0 on success, -errno on invalid input strings.
585  * Error values:
586  *    %-EINVAL: second number in range smaller than first
587  *    %-EINVAL: invalid character in string
588  *    %-ERANGE: bit number specified too large for mask
589  */
590 int bitmap_parselist(const char *bp, unsigned long *maskp, int nmaskbits)
591 {
592 	unsigned a, b;
593 
594 	bitmap_zero(maskp, nmaskbits);
595 	do {
596 		if (!isdigit(*bp))
597 			return -EINVAL;
598 		b = a = simple_strtoul(bp, (char **)&bp, BASEDEC);
599 		if (*bp == '-') {
600 			bp++;
601 			if (!isdigit(*bp))
602 				return -EINVAL;
603 			b = simple_strtoul(bp, (char **)&bp, BASEDEC);
604 		}
605 		if (!(a <= b))
606 			return -EINVAL;
607 		if (b >= nmaskbits)
608 			return -ERANGE;
609 		while (a <= b) {
610 			set_bit(a, maskp);
611 			a++;
612 		}
613 		if (*bp == ',')
614 			bp++;
615 	} while (*bp != '\0' && *bp != '\n');
616 	return 0;
617 }
618 EXPORT_SYMBOL(bitmap_parselist);
619 
620 /**
621  * bitmap_pos_to_ord - find ordinal of set bit at given position in bitmap
622  *	@buf: pointer to a bitmap
623  *	@pos: a bit position in @buf (0 <= @pos < @bits)
624  *	@bits: number of valid bit positions in @buf
625  *
626  * Map the bit at position @pos in @buf (of length @bits) to the
627  * ordinal of which set bit it is.  If it is not set or if @pos
628  * is not a valid bit position, map to -1.
629  *
630  * If for example, just bits 4 through 7 are set in @buf, then @pos
631  * values 4 through 7 will get mapped to 0 through 3, respectively,
632  * and other @pos values will get mapped to 0.  When @pos value 7
633  * gets mapped to (returns) @ord value 3 in this example, that means
634  * that bit 7 is the 3rd (starting with 0th) set bit in @buf.
635  *
636  * The bit positions 0 through @bits are valid positions in @buf.
637  */
638 static int bitmap_pos_to_ord(const unsigned long *buf, int pos, int bits)
639 {
640 	int i, ord;
641 
642 	if (pos < 0 || pos >= bits || !test_bit(pos, buf))
643 		return -1;
644 
645 	i = find_first_bit(buf, bits);
646 	ord = 0;
647 	while (i < pos) {
648 		i = find_next_bit(buf, bits, i + 1);
649 	     	ord++;
650 	}
651 	BUG_ON(i != pos);
652 
653 	return ord;
654 }
655 
656 /**
657  * bitmap_ord_to_pos - find position of n-th set bit in bitmap
658  *	@buf: pointer to bitmap
659  *	@ord: ordinal bit position (n-th set bit, n >= 0)
660  *	@bits: number of valid bit positions in @buf
661  *
662  * Map the ordinal offset of bit @ord in @buf to its position in @buf.
663  * Value of @ord should be in range 0 <= @ord < weight(buf), else
664  * results are undefined.
665  *
666  * If for example, just bits 4 through 7 are set in @buf, then @ord
667  * values 0 through 3 will get mapped to 4 through 7, respectively,
668  * and all other @ord values return undefined values.  When @ord value 3
669  * gets mapped to (returns) @pos value 7 in this example, that means
670  * that the 3rd set bit (starting with 0th) is at position 7 in @buf.
671  *
672  * The bit positions 0 through @bits are valid positions in @buf.
673  */
674 static int bitmap_ord_to_pos(const unsigned long *buf, int ord, int bits)
675 {
676 	int pos = 0;
677 
678 	if (ord >= 0 && ord < bits) {
679 		int i;
680 
681 		for (i = find_first_bit(buf, bits);
682 		     i < bits && ord > 0;
683 		     i = find_next_bit(buf, bits, i + 1))
684 	     		ord--;
685 		if (i < bits && ord == 0)
686 			pos = i;
687 	}
688 
689 	return pos;
690 }
691 
692 /**
693  * bitmap_remap - Apply map defined by a pair of bitmaps to another bitmap
694  *	@dst: remapped result
695  *	@src: subset to be remapped
696  *	@old: defines domain of map
697  *	@new: defines range of map
698  *	@bits: number of bits in each of these bitmaps
699  *
700  * Let @old and @new define a mapping of bit positions, such that
701  * whatever position is held by the n-th set bit in @old is mapped
702  * to the n-th set bit in @new.  In the more general case, allowing
703  * for the possibility that the weight 'w' of @new is less than the
704  * weight of @old, map the position of the n-th set bit in @old to
705  * the position of the m-th set bit in @new, where m == n % w.
706  *
707  * If either of the @old and @new bitmaps are empty, or if @src and
708  * @dst point to the same location, then this routine copies @src
709  * to @dst.
710  *
711  * The positions of unset bits in @old are mapped to themselves
712  * (the identify map).
713  *
714  * Apply the above specified mapping to @src, placing the result in
715  * @dst, clearing any bits previously set in @dst.
716  *
717  * For example, lets say that @old has bits 4 through 7 set, and
718  * @new has bits 12 through 15 set.  This defines the mapping of bit
719  * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
720  * bit positions unchanged.  So if say @src comes into this routine
721  * with bits 1, 5 and 7 set, then @dst should leave with bits 1,
722  * 13 and 15 set.
723  */
724 void bitmap_remap(unsigned long *dst, const unsigned long *src,
725 		const unsigned long *old, const unsigned long *new,
726 		int bits)
727 {
728 	int oldbit, w;
729 
730 	if (dst == src)		/* following doesn't handle inplace remaps */
731 		return;
732 	bitmap_zero(dst, bits);
733 
734 	w = bitmap_weight(new, bits);
735 	for_each_set_bit(oldbit, src, bits) {
736 	     	int n = bitmap_pos_to_ord(old, oldbit, bits);
737 
738 		if (n < 0 || w == 0)
739 			set_bit(oldbit, dst);	/* identity map */
740 		else
741 			set_bit(bitmap_ord_to_pos(new, n % w, bits), dst);
742 	}
743 }
744 EXPORT_SYMBOL(bitmap_remap);
745 
746 /**
747  * bitmap_bitremap - Apply map defined by a pair of bitmaps to a single bit
748  *	@oldbit: bit position to be mapped
749  *	@old: defines domain of map
750  *	@new: defines range of map
751  *	@bits: number of bits in each of these bitmaps
752  *
753  * Let @old and @new define a mapping of bit positions, such that
754  * whatever position is held by the n-th set bit in @old is mapped
755  * to the n-th set bit in @new.  In the more general case, allowing
756  * for the possibility that the weight 'w' of @new is less than the
757  * weight of @old, map the position of the n-th set bit in @old to
758  * the position of the m-th set bit in @new, where m == n % w.
759  *
760  * The positions of unset bits in @old are mapped to themselves
761  * (the identify map).
762  *
763  * Apply the above specified mapping to bit position @oldbit, returning
764  * the new bit position.
765  *
766  * For example, lets say that @old has bits 4 through 7 set, and
767  * @new has bits 12 through 15 set.  This defines the mapping of bit
768  * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
769  * bit positions unchanged.  So if say @oldbit is 5, then this routine
770  * returns 13.
771  */
772 int bitmap_bitremap(int oldbit, const unsigned long *old,
773 				const unsigned long *new, int bits)
774 {
775 	int w = bitmap_weight(new, bits);
776 	int n = bitmap_pos_to_ord(old, oldbit, bits);
777 	if (n < 0 || w == 0)
778 		return oldbit;
779 	else
780 		return bitmap_ord_to_pos(new, n % w, bits);
781 }
782 EXPORT_SYMBOL(bitmap_bitremap);
783 
784 /**
785  * bitmap_onto - translate one bitmap relative to another
786  *	@dst: resulting translated bitmap
787  * 	@orig: original untranslated bitmap
788  * 	@relmap: bitmap relative to which translated
789  *	@bits: number of bits in each of these bitmaps
790  *
791  * Set the n-th bit of @dst iff there exists some m such that the
792  * n-th bit of @relmap is set, the m-th bit of @orig is set, and
793  * the n-th bit of @relmap is also the m-th _set_ bit of @relmap.
794  * (If you understood the previous sentence the first time your
795  * read it, you're overqualified for your current job.)
796  *
797  * In other words, @orig is mapped onto (surjectively) @dst,
798  * using the the map { <n, m> | the n-th bit of @relmap is the
799  * m-th set bit of @relmap }.
800  *
801  * Any set bits in @orig above bit number W, where W is the
802  * weight of (number of set bits in) @relmap are mapped nowhere.
803  * In particular, if for all bits m set in @orig, m >= W, then
804  * @dst will end up empty.  In situations where the possibility
805  * of such an empty result is not desired, one way to avoid it is
806  * to use the bitmap_fold() operator, below, to first fold the
807  * @orig bitmap over itself so that all its set bits x are in the
808  * range 0 <= x < W.  The bitmap_fold() operator does this by
809  * setting the bit (m % W) in @dst, for each bit (m) set in @orig.
810  *
811  * Example [1] for bitmap_onto():
812  *  Let's say @relmap has bits 30-39 set, and @orig has bits
813  *  1, 3, 5, 7, 9 and 11 set.  Then on return from this routine,
814  *  @dst will have bits 31, 33, 35, 37 and 39 set.
815  *
816  *  When bit 0 is set in @orig, it means turn on the bit in
817  *  @dst corresponding to whatever is the first bit (if any)
818  *  that is turned on in @relmap.  Since bit 0 was off in the
819  *  above example, we leave off that bit (bit 30) in @dst.
820  *
821  *  When bit 1 is set in @orig (as in the above example), it
822  *  means turn on the bit in @dst corresponding to whatever
823  *  is the second bit that is turned on in @relmap.  The second
824  *  bit in @relmap that was turned on in the above example was
825  *  bit 31, so we turned on bit 31 in @dst.
826  *
827  *  Similarly, we turned on bits 33, 35, 37 and 39 in @dst,
828  *  because they were the 4th, 6th, 8th and 10th set bits
829  *  set in @relmap, and the 4th, 6th, 8th and 10th bits of
830  *  @orig (i.e. bits 3, 5, 7 and 9) were also set.
831  *
832  *  When bit 11 is set in @orig, it means turn on the bit in
833  *  @dst corresponding to whatever is the twelfth bit that is
834  *  turned on in @relmap.  In the above example, there were
835  *  only ten bits turned on in @relmap (30..39), so that bit
836  *  11 was set in @orig had no affect on @dst.
837  *
838  * Example [2] for bitmap_fold() + bitmap_onto():
839  *  Let's say @relmap has these ten bits set:
840  *		40 41 42 43 45 48 53 61 74 95
841  *  (for the curious, that's 40 plus the first ten terms of the
842  *  Fibonacci sequence.)
843  *
844  *  Further lets say we use the following code, invoking
845  *  bitmap_fold() then bitmap_onto, as suggested above to
846  *  avoid the possitility of an empty @dst result:
847  *
848  *	unsigned long *tmp;	// a temporary bitmap's bits
849  *
850  *	bitmap_fold(tmp, orig, bitmap_weight(relmap, bits), bits);
851  *	bitmap_onto(dst, tmp, relmap, bits);
852  *
853  *  Then this table shows what various values of @dst would be, for
854  *  various @orig's.  I list the zero-based positions of each set bit.
855  *  The tmp column shows the intermediate result, as computed by
856  *  using bitmap_fold() to fold the @orig bitmap modulo ten
857  *  (the weight of @relmap).
858  *
859  *      @orig           tmp            @dst
860  *      0                0             40
861  *      1                1             41
862  *      9                9             95
863  *      10               0             40 (*)
864  *      1 3 5 7          1 3 5 7       41 43 48 61
865  *      0 1 2 3 4        0 1 2 3 4     40 41 42 43 45
866  *      0 9 18 27        0 9 8 7       40 61 74 95
867  *      0 10 20 30       0             40
868  *      0 11 22 33       0 1 2 3       40 41 42 43
869  *      0 12 24 36       0 2 4 6       40 42 45 53
870  *      78 102 211       1 2 8         41 42 74 (*)
871  *
872  * (*) For these marked lines, if we hadn't first done bitmap_fold()
873  *     into tmp, then the @dst result would have been empty.
874  *
875  * If either of @orig or @relmap is empty (no set bits), then @dst
876  * will be returned empty.
877  *
878  * If (as explained above) the only set bits in @orig are in positions
879  * m where m >= W, (where W is the weight of @relmap) then @dst will
880  * once again be returned empty.
881  *
882  * All bits in @dst not set by the above rule are cleared.
883  */
884 void bitmap_onto(unsigned long *dst, const unsigned long *orig,
885 			const unsigned long *relmap, int bits)
886 {
887 	int n, m;       	/* same meaning as in above comment */
888 
889 	if (dst == orig)	/* following doesn't handle inplace mappings */
890 		return;
891 	bitmap_zero(dst, bits);
892 
893 	/*
894 	 * The following code is a more efficient, but less
895 	 * obvious, equivalent to the loop:
896 	 *	for (m = 0; m < bitmap_weight(relmap, bits); m++) {
897 	 *		n = bitmap_ord_to_pos(orig, m, bits);
898 	 *		if (test_bit(m, orig))
899 	 *			set_bit(n, dst);
900 	 *	}
901 	 */
902 
903 	m = 0;
904 	for_each_set_bit(n, relmap, bits) {
905 		/* m == bitmap_pos_to_ord(relmap, n, bits) */
906 		if (test_bit(m, orig))
907 			set_bit(n, dst);
908 		m++;
909 	}
910 }
911 EXPORT_SYMBOL(bitmap_onto);
912 
913 /**
914  * bitmap_fold - fold larger bitmap into smaller, modulo specified size
915  *	@dst: resulting smaller bitmap
916  *	@orig: original larger bitmap
917  *	@sz: specified size
918  *	@bits: number of bits in each of these bitmaps
919  *
920  * For each bit oldbit in @orig, set bit oldbit mod @sz in @dst.
921  * Clear all other bits in @dst.  See further the comment and
922  * Example [2] for bitmap_onto() for why and how to use this.
923  */
924 void bitmap_fold(unsigned long *dst, const unsigned long *orig,
925 			int sz, int bits)
926 {
927 	int oldbit;
928 
929 	if (dst == orig)	/* following doesn't handle inplace mappings */
930 		return;
931 	bitmap_zero(dst, bits);
932 
933 	for_each_set_bit(oldbit, orig, bits)
934 		set_bit(oldbit % sz, dst);
935 }
936 EXPORT_SYMBOL(bitmap_fold);
937 
938 /*
939  * Common code for bitmap_*_region() routines.
940  *	bitmap: array of unsigned longs corresponding to the bitmap
941  *	pos: the beginning of the region
942  *	order: region size (log base 2 of number of bits)
943  *	reg_op: operation(s) to perform on that region of bitmap
944  *
945  * Can set, verify and/or release a region of bits in a bitmap,
946  * depending on which combination of REG_OP_* flag bits is set.
947  *
948  * A region of a bitmap is a sequence of bits in the bitmap, of
949  * some size '1 << order' (a power of two), aligned to that same
950  * '1 << order' power of two.
951  *
952  * Returns 1 if REG_OP_ISFREE succeeds (region is all zero bits).
953  * Returns 0 in all other cases and reg_ops.
954  */
955 
956 enum {
957 	REG_OP_ISFREE,		/* true if region is all zero bits */
958 	REG_OP_ALLOC,		/* set all bits in region */
959 	REG_OP_RELEASE,		/* clear all bits in region */
960 };
961 
962 static int __reg_op(unsigned long *bitmap, int pos, int order, int reg_op)
963 {
964 	int nbits_reg;		/* number of bits in region */
965 	int index;		/* index first long of region in bitmap */
966 	int offset;		/* bit offset region in bitmap[index] */
967 	int nlongs_reg;		/* num longs spanned by region in bitmap */
968 	int nbitsinlong;	/* num bits of region in each spanned long */
969 	unsigned long mask;	/* bitmask for one long of region */
970 	int i;			/* scans bitmap by longs */
971 	int ret = 0;		/* return value */
972 
973 	/*
974 	 * Either nlongs_reg == 1 (for small orders that fit in one long)
975 	 * or (offset == 0 && mask == ~0UL) (for larger multiword orders.)
976 	 */
977 	nbits_reg = 1 << order;
978 	index = pos / BITS_PER_LONG;
979 	offset = pos - (index * BITS_PER_LONG);
980 	nlongs_reg = BITS_TO_LONGS(nbits_reg);
981 	nbitsinlong = min(nbits_reg,  BITS_PER_LONG);
982 
983 	/*
984 	 * Can't do "mask = (1UL << nbitsinlong) - 1", as that
985 	 * overflows if nbitsinlong == BITS_PER_LONG.
986 	 */
987 	mask = (1UL << (nbitsinlong - 1));
988 	mask += mask - 1;
989 	mask <<= offset;
990 
991 	switch (reg_op) {
992 	case REG_OP_ISFREE:
993 		for (i = 0; i < nlongs_reg; i++) {
994 			if (bitmap[index + i] & mask)
995 				goto done;
996 		}
997 		ret = 1;	/* all bits in region free (zero) */
998 		break;
999 
1000 	case REG_OP_ALLOC:
1001 		for (i = 0; i < nlongs_reg; i++)
1002 			bitmap[index + i] |= mask;
1003 		break;
1004 
1005 	case REG_OP_RELEASE:
1006 		for (i = 0; i < nlongs_reg; i++)
1007 			bitmap[index + i] &= ~mask;
1008 		break;
1009 	}
1010 done:
1011 	return ret;
1012 }
1013 
1014 /**
1015  * bitmap_find_free_region - find a contiguous aligned mem region
1016  *	@bitmap: array of unsigned longs corresponding to the bitmap
1017  *	@bits: number of bits in the bitmap
1018  *	@order: region size (log base 2 of number of bits) to find
1019  *
1020  * Find a region of free (zero) bits in a @bitmap of @bits bits and
1021  * allocate them (set them to one).  Only consider regions of length
1022  * a power (@order) of two, aligned to that power of two, which
1023  * makes the search algorithm much faster.
1024  *
1025  * Return the bit offset in bitmap of the allocated region,
1026  * or -errno on failure.
1027  */
1028 int bitmap_find_free_region(unsigned long *bitmap, int bits, int order)
1029 {
1030 	int pos, end;		/* scans bitmap by regions of size order */
1031 
1032 	for (pos = 0 ; (end = pos + (1 << order)) <= bits; pos = end) {
1033 		if (!__reg_op(bitmap, pos, order, REG_OP_ISFREE))
1034 			continue;
1035 		__reg_op(bitmap, pos, order, REG_OP_ALLOC);
1036 		return pos;
1037 	}
1038 	return -ENOMEM;
1039 }
1040 EXPORT_SYMBOL(bitmap_find_free_region);
1041 
1042 /**
1043  * bitmap_release_region - release allocated bitmap region
1044  *	@bitmap: array of unsigned longs corresponding to the bitmap
1045  *	@pos: beginning of bit region to release
1046  *	@order: region size (log base 2 of number of bits) to release
1047  *
1048  * This is the complement to __bitmap_find_free_region() and releases
1049  * the found region (by clearing it in the bitmap).
1050  *
1051  * No return value.
1052  */
1053 void bitmap_release_region(unsigned long *bitmap, int pos, int order)
1054 {
1055 	__reg_op(bitmap, pos, order, REG_OP_RELEASE);
1056 }
1057 EXPORT_SYMBOL(bitmap_release_region);
1058 
1059 /**
1060  * bitmap_allocate_region - allocate bitmap region
1061  *	@bitmap: array of unsigned longs corresponding to the bitmap
1062  *	@pos: beginning of bit region to allocate
1063  *	@order: region size (log base 2 of number of bits) to allocate
1064  *
1065  * Allocate (set bits in) a specified region of a bitmap.
1066  *
1067  * Return 0 on success, or %-EBUSY if specified region wasn't
1068  * free (not all bits were zero).
1069  */
1070 int bitmap_allocate_region(unsigned long *bitmap, int pos, int order)
1071 {
1072 	if (!__reg_op(bitmap, pos, order, REG_OP_ISFREE))
1073 		return -EBUSY;
1074 	__reg_op(bitmap, pos, order, REG_OP_ALLOC);
1075 	return 0;
1076 }
1077 EXPORT_SYMBOL(bitmap_allocate_region);
1078 
1079 /**
1080  * bitmap_copy_le - copy a bitmap, putting the bits into little-endian order.
1081  * @dst:   destination buffer
1082  * @src:   bitmap to copy
1083  * @nbits: number of bits in the bitmap
1084  *
1085  * Require nbits % BITS_PER_LONG == 0.
1086  */
1087 void bitmap_copy_le(void *dst, const unsigned long *src, int nbits)
1088 {
1089 	unsigned long *d = dst;
1090 	int i;
1091 
1092 	for (i = 0; i < nbits/BITS_PER_LONG; i++) {
1093 		if (BITS_PER_LONG == 64)
1094 			d[i] = cpu_to_le64(src[i]);
1095 		else
1096 			d[i] = cpu_to_le32(src[i]);
1097 	}
1098 }
1099 EXPORT_SYMBOL(bitmap_copy_le);
1100