3 * Helper functions for bitmap.h.
5 * This source code is licensed under the GNU General Public License,
6 * Version 2. See the file COPYING for more details.
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>
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
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
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
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.
41 int __bitmap_empty(const unsigned long *bitmap, int bits)
43 int k, lim = bits/BITS_PER_LONG;
44 for (k = 0; k < lim; ++k)
48 if (bits % BITS_PER_LONG)
49 if (bitmap[k] & BITMAP_LAST_WORD_MASK(bits))
54 EXPORT_SYMBOL(__bitmap_empty);
56 int __bitmap_full(const unsigned long *bitmap, int bits)
58 int k, lim = bits/BITS_PER_LONG;
59 for (k = 0; k < lim; ++k)
63 if (bits % BITS_PER_LONG)
64 if (~bitmap[k] & BITMAP_LAST_WORD_MASK(bits))
69 EXPORT_SYMBOL(__bitmap_full);
71 int __bitmap_equal(const unsigned long *bitmap1,
72 const unsigned long *bitmap2, int bits)
74 int k, lim = bits/BITS_PER_LONG;
75 for (k = 0; k < lim; ++k)
76 if (bitmap1[k] != bitmap2[k])
79 if (bits % BITS_PER_LONG)
80 if ((bitmap1[k] ^ bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
85 EXPORT_SYMBOL(__bitmap_equal);
87 void __bitmap_complement(unsigned long *dst, const unsigned long *src, int bits)
89 int k, lim = bits/BITS_PER_LONG;
90 for (k = 0; k < lim; ++k)
93 if (bits % BITS_PER_LONG)
94 dst[k] = ~src[k] & BITMAP_LAST_WORD_MASK(bits);
96 EXPORT_SYMBOL(__bitmap_complement);
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
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.
109 void __bitmap_shift_right(unsigned long *dst,
110 const unsigned long *src, int shift, int bits)
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;
119 * If shift is not word aligned, take lower rem bits of
120 * word above and make them the top rem bits of result.
122 if (!rem || off + k + 1 >= lim)
125 upper = src[off + k + 1];
126 if (off + k + 1 == lim - 1 && left)
129 lower = src[off + k];
130 if (left && off + k == lim - 1)
132 dst[k] = upper << (BITS_PER_LONG - rem) | lower >> rem;
133 if (left && k == lim - 1)
137 memset(&dst[lim - off], 0, off*sizeof(unsigned long));
139 EXPORT_SYMBOL(__bitmap_shift_right);
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
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.
154 void __bitmap_shift_left(unsigned long *dst,
155 const unsigned long *src, int shift, int bits)
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;
163 * If shift is not word aligned, take upper rem bits of
164 * word below and make them the bottom rem bits of result.
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;
178 memset(dst, 0, off*sizeof(unsigned long));
180 EXPORT_SYMBOL(__bitmap_shift_left);
182 void __bitmap_and(unsigned long *dst, const unsigned long *bitmap1,
183 const unsigned long *bitmap2, int bits)
186 int nr = BITS_TO_LONGS(bits);
188 for (k = 0; k < nr; k++)
189 dst[k] = bitmap1[k] & bitmap2[k];
191 EXPORT_SYMBOL(__bitmap_and);
193 void __bitmap_or(unsigned long *dst, const unsigned long *bitmap1,
194 const unsigned long *bitmap2, int bits)
197 int nr = BITS_TO_LONGS(bits);
199 for (k = 0; k < nr; k++)
200 dst[k] = bitmap1[k] | bitmap2[k];
202 EXPORT_SYMBOL(__bitmap_or);
204 void __bitmap_xor(unsigned long *dst, const unsigned long *bitmap1,
205 const unsigned long *bitmap2, int bits)
208 int nr = BITS_TO_LONGS(bits);
210 for (k = 0; k < nr; k++)
211 dst[k] = bitmap1[k] ^ bitmap2[k];
213 EXPORT_SYMBOL(__bitmap_xor);
215 void __bitmap_andnot(unsigned long *dst, const unsigned long *bitmap1,
216 const unsigned long *bitmap2, int bits)
219 int nr = BITS_TO_LONGS(bits);
221 for (k = 0; k < nr; k++)
222 dst[k] = bitmap1[k] & ~bitmap2[k];
224 EXPORT_SYMBOL(__bitmap_andnot);
226 int __bitmap_intersects(const unsigned long *bitmap1,
227 const unsigned long *bitmap2, int bits)
229 int k, lim = bits/BITS_PER_LONG;
230 for (k = 0; k < lim; ++k)
231 if (bitmap1[k] & bitmap2[k])
234 if (bits % BITS_PER_LONG)
235 if ((bitmap1[k] & bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
239 EXPORT_SYMBOL(__bitmap_intersects);
241 int __bitmap_subset(const unsigned long *bitmap1,
242 const unsigned long *bitmap2, int bits)
244 int k, lim = bits/BITS_PER_LONG;
245 for (k = 0; k < lim; ++k)
246 if (bitmap1[k] & ~bitmap2[k])
249 if (bits % BITS_PER_LONG)
250 if ((bitmap1[k] & ~bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
254 EXPORT_SYMBOL(__bitmap_subset);
256 int __bitmap_weight(const unsigned long *bitmap, int bits)
258 int k, w = 0, lim = bits/BITS_PER_LONG;
260 for (k = 0; k < lim; k++)
261 w += hweight_long(bitmap[k]);
263 if (bits % BITS_PER_LONG)
264 w += hweight_long(bitmap[k] & BITMAP_LAST_WORD_MASK(bits));
268 EXPORT_SYMBOL(__bitmap_weight);
271 * Bitmap printing & parsing functions: first version by Bill Irwin,
272 * second version by Paul Jackson, third by Joe Korty.
276 #define nbits_to_hold_value(val) fls(val)
277 #define unhex(c) (isdigit(c) ? (c - '0') : (toupper(c) - 'A' + 10))
278 #define BASEDEC 10 /* fancier cpuset lists input in decimal */
281 * bitmap_scnprintf - convert bitmap to an ASCII hex string.
282 * @buf: byte buffer into which string is placed
283 * @buflen: reserved size of @buf, in bytes
284 * @maskp: pointer to bitmap to convert
285 * @nmaskbits: size of bitmap, in bits
287 * Exactly @nmaskbits bits are displayed. Hex digits are grouped into
288 * comma-separated sets of eight digits per set.
290 int bitmap_scnprintf(char *buf, unsigned int buflen,
291 const unsigned long *maskp, int nmaskbits)
293 int i, word, bit, len = 0;
295 const char *sep = "";
299 chunksz = nmaskbits & (CHUNKSZ - 1);
303 i = ALIGN(nmaskbits, CHUNKSZ) - CHUNKSZ;
304 for (; i >= 0; i -= CHUNKSZ) {
305 chunkmask = ((1ULL << chunksz) - 1);
306 word = i / BITS_PER_LONG;
307 bit = i % BITS_PER_LONG;
308 val = (maskp[word] >> bit) & chunkmask;
309 len += scnprintf(buf+len, buflen-len, "%s%0*lx", sep,
316 EXPORT_SYMBOL(bitmap_scnprintf);
319 * bitmap_scnprintf_len - return buffer length needed to convert
320 * bitmap to an ASCII hex string.
321 * @len: number of bits to be converted
323 int bitmap_scnprintf_len(unsigned int len)
325 /* we need 9 chars per word for 32 bit words (8 hexdigits + sep/null) */
326 int bitslen = ALIGN(len, CHUNKSZ);
327 int wordlen = CHUNKSZ / 4;
328 int buflen = (bitslen / wordlen) * (wordlen + 1) * sizeof(char);
332 EXPORT_SYMBOL(bitmap_scnprintf_len);
335 * __bitmap_parse - convert an ASCII hex string into a bitmap.
336 * @buf: pointer to buffer containing string.
337 * @buflen: buffer size in bytes. If string is smaller than this
338 * then it must be terminated with a \0.
339 * @is_user: location of buffer, 0 indicates kernel space
340 * @maskp: pointer to bitmap array that will contain result.
341 * @nmaskbits: size of bitmap, in bits.
343 * Commas group hex digits into chunks. Each chunk defines exactly 32
344 * bits of the resultant bitmask. No chunk may specify a value larger
345 * than 32 bits (%-EOVERFLOW), and if a chunk specifies a smaller value
346 * then leading 0-bits are prepended. %-EINVAL is returned for illegal
347 * characters and for grouping errors such as "1,,5", ",44", "," and "".
348 * Leading and trailing whitespace accepted, but not embedded whitespace.
350 int __bitmap_parse(const char *buf, unsigned int buflen,
351 int is_user, unsigned long *maskp,
354 int c, old_c, totaldigits, ndigits, nchunks, nbits;
356 const char __user *ubuf = buf;
358 bitmap_zero(maskp, nmaskbits);
360 nchunks = nbits = totaldigits = c = 0;
364 /* Get the next chunk of the bitmap */
368 if (__get_user(c, ubuf++))
378 * If the last character was a space and the current
379 * character isn't '\0', we've got embedded whitespace.
380 * This is a no-no, so throw an error.
382 if (totaldigits && c && isspace(old_c))
385 /* A '\0' or a ',' signal the end of the chunk */
386 if (c == '\0' || c == ',')
393 * Make sure there are at least 4 free bits in 'chunk'.
394 * If not, this hexdigit will overflow 'chunk', so
397 if (chunk & ~((1UL << (CHUNKSZ - 4)) - 1))
400 chunk = (chunk << 4) | unhex(c);
401 ndigits++; totaldigits++;
405 if (nchunks == 0 && chunk == 0)
408 __bitmap_shift_left(maskp, maskp, CHUNKSZ, nmaskbits);
411 nbits += (nchunks == 1) ? nbits_to_hold_value(chunk) : CHUNKSZ;
412 if (nbits > nmaskbits)
414 } while (buflen && c == ',');
418 EXPORT_SYMBOL(__bitmap_parse);
421 * bitmap_parse_user()
423 * @ubuf: pointer to user buffer containing string.
424 * @ulen: buffer size in bytes. If string is smaller than this
425 * then it must be terminated with a \0.
426 * @maskp: pointer to bitmap array that will contain result.
427 * @nmaskbits: size of bitmap, in bits.
429 * Wrapper for __bitmap_parse(), providing it with user buffer.
431 * We cannot have this as an inline function in bitmap.h because it needs
432 * linux/uaccess.h to get the access_ok() declaration and this causes
433 * cyclic dependencies.
435 int bitmap_parse_user(const char __user *ubuf,
436 unsigned int ulen, unsigned long *maskp,
439 if (!access_ok(VERIFY_READ, ubuf, ulen))
441 return __bitmap_parse((const char *)ubuf, ulen, 1, maskp, nmaskbits);
443 EXPORT_SYMBOL(bitmap_parse_user);
446 * bscnl_emit(buf, buflen, rbot, rtop, bp)
448 * Helper routine for bitmap_scnlistprintf(). Write decimal number
449 * or range to buf, suppressing output past buf+buflen, with optional
450 * comma-prefix. Return len of what would be written to buf, if it
453 static inline int bscnl_emit(char *buf, int buflen, int rbot, int rtop, int len)
456 len += scnprintf(buf + len, buflen - len, ",");
458 len += scnprintf(buf + len, buflen - len, "%d", rbot);
460 len += scnprintf(buf + len, buflen - len, "%d-%d", rbot, rtop);
465 * bitmap_scnlistprintf - convert bitmap to list format ASCII string
466 * @buf: byte buffer into which string is placed
467 * @buflen: reserved size of @buf, in bytes
468 * @maskp: pointer to bitmap to convert
469 * @nmaskbits: size of bitmap, in bits
471 * Output format is a comma-separated list of decimal numbers and
472 * ranges. Consecutively set bits are shown as two hyphen-separated
473 * decimal numbers, the smallest and largest bit numbers set in
474 * the range. Output format is compatible with the format
475 * accepted as input by bitmap_parselist().
477 * The return value is the number of characters which would be
478 * generated for the given input, excluding the trailing '\0', as
481 int bitmap_scnlistprintf(char *buf, unsigned int buflen,
482 const unsigned long *maskp, int nmaskbits)
485 /* current bit is 'cur', most recently seen range is [rbot, rtop] */
492 rbot = cur = find_first_bit(maskp, nmaskbits);
493 while (cur < nmaskbits) {
495 cur = find_next_bit(maskp, nmaskbits, cur+1);
496 if (cur >= nmaskbits || cur > rtop + 1) {
497 len = bscnl_emit(buf, buflen, rbot, rtop, len);
503 EXPORT_SYMBOL(bitmap_scnlistprintf);
506 * bitmap_parselist - convert list format ASCII string to bitmap
507 * @bp: read nul-terminated user string from this buffer
508 * @maskp: write resulting mask here
509 * @nmaskbits: number of bits in mask to be written
511 * Input format is a comma-separated list of decimal numbers and
512 * ranges. Consecutively set bits are shown as two hyphen-separated
513 * decimal numbers, the smallest and largest bit numbers set in
516 * Returns 0 on success, -errno on invalid input strings.
518 * %-EINVAL: second number in range smaller than first
519 * %-EINVAL: invalid character in string
520 * %-ERANGE: bit number specified too large for mask
522 int bitmap_parselist(const char *bp, unsigned long *maskp, int nmaskbits)
526 bitmap_zero(maskp, nmaskbits);
530 b = a = simple_strtoul(bp, (char **)&bp, BASEDEC);
535 b = simple_strtoul(bp, (char **)&bp, BASEDEC);
547 } while (*bp != '\0' && *bp != '\n');
550 EXPORT_SYMBOL(bitmap_parselist);
553 * bitmap_pos_to_ord(buf, pos, bits)
554 * @buf: pointer to a bitmap
555 * @pos: a bit position in @buf (0 <= @pos < @bits)
556 * @bits: number of valid bit positions in @buf
558 * Map the bit at position @pos in @buf (of length @bits) to the
559 * ordinal of which set bit it is. If it is not set or if @pos
560 * is not a valid bit position, map to -1.
562 * If for example, just bits 4 through 7 are set in @buf, then @pos
563 * values 4 through 7 will get mapped to 0 through 3, respectively,
564 * and other @pos values will get mapped to 0. When @pos value 7
565 * gets mapped to (returns) @ord value 3 in this example, that means
566 * that bit 7 is the 3rd (starting with 0th) set bit in @buf.
568 * The bit positions 0 through @bits are valid positions in @buf.
570 static int bitmap_pos_to_ord(const unsigned long *buf, int pos, int bits)
574 if (pos < 0 || pos >= bits || !test_bit(pos, buf))
577 i = find_first_bit(buf, bits);
580 i = find_next_bit(buf, bits, i + 1);
589 * bitmap_ord_to_pos(buf, ord, bits)
590 * @buf: pointer to bitmap
591 * @ord: ordinal bit position (n-th set bit, n >= 0)
592 * @bits: number of valid bit positions in @buf
594 * Map the ordinal offset of bit @ord in @buf to its position in @buf.
595 * Value of @ord should be in range 0 <= @ord < weight(buf), else
596 * results are undefined.
598 * If for example, just bits 4 through 7 are set in @buf, then @ord
599 * values 0 through 3 will get mapped to 4 through 7, respectively,
600 * and all other @ord values return undefined values. When @ord value 3
601 * gets mapped to (returns) @pos value 7 in this example, that means
602 * that the 3rd set bit (starting with 0th) is at position 7 in @buf.
604 * The bit positions 0 through @bits are valid positions in @buf.
606 static int bitmap_ord_to_pos(const unsigned long *buf, int ord, int bits)
610 if (ord >= 0 && ord < bits) {
613 for (i = find_first_bit(buf, bits);
615 i = find_next_bit(buf, bits, i + 1))
617 if (i < bits && ord == 0)
625 * bitmap_remap - Apply map defined by a pair of bitmaps to another bitmap
626 * @dst: remapped result
627 * @src: subset to be remapped
628 * @old: defines domain of map
629 * @new: defines range of map
630 * @bits: number of bits in each of these bitmaps
632 * Let @old and @new define a mapping of bit positions, such that
633 * whatever position is held by the n-th set bit in @old is mapped
634 * to the n-th set bit in @new. In the more general case, allowing
635 * for the possibility that the weight 'w' of @new is less than the
636 * weight of @old, map the position of the n-th set bit in @old to
637 * the position of the m-th set bit in @new, where m == n % w.
639 * If either of the @old and @new bitmaps are empty, or if @src and
640 * @dst point to the same location, then this routine copies @src
643 * The positions of unset bits in @old are mapped to themselves
644 * (the identify map).
646 * Apply the above specified mapping to @src, placing the result in
647 * @dst, clearing any bits previously set in @dst.
649 * For example, lets say that @old has bits 4 through 7 set, and
650 * @new has bits 12 through 15 set. This defines the mapping of bit
651 * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
652 * bit positions unchanged. So if say @src comes into this routine
653 * with bits 1, 5 and 7 set, then @dst should leave with bits 1,
656 void bitmap_remap(unsigned long *dst, const unsigned long *src,
657 const unsigned long *old, const unsigned long *new,
662 if (dst == src) /* following doesn't handle inplace remaps */
664 bitmap_zero(dst, bits);
666 w = bitmap_weight(new, bits);
667 for (oldbit = find_first_bit(src, bits);
669 oldbit = find_next_bit(src, bits, oldbit + 1)) {
670 int n = bitmap_pos_to_ord(old, oldbit, bits);
672 set_bit(oldbit, dst); /* identity map */
674 set_bit(bitmap_ord_to_pos(new, n % w, bits), dst);
677 EXPORT_SYMBOL(bitmap_remap);
680 * bitmap_bitremap - Apply map defined by a pair of bitmaps to a single bit
681 * @oldbit: bit position to be mapped
682 * @old: defines domain of map
683 * @new: defines range of map
684 * @bits: number of bits in each of these bitmaps
686 * Let @old and @new define a mapping of bit positions, such that
687 * whatever position is held by the n-th set bit in @old is mapped
688 * to the n-th set bit in @new. In the more general case, allowing
689 * for the possibility that the weight 'w' of @new is less than the
690 * weight of @old, map the position of the n-th set bit in @old to
691 * the position of the m-th set bit in @new, where m == n % w.
693 * The positions of unset bits in @old are mapped to themselves
694 * (the identify map).
696 * Apply the above specified mapping to bit position @oldbit, returning
697 * the new bit position.
699 * For example, lets say that @old has bits 4 through 7 set, and
700 * @new has bits 12 through 15 set. This defines the mapping of bit
701 * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
702 * bit positions unchanged. So if say @oldbit is 5, then this routine
705 int bitmap_bitremap(int oldbit, const unsigned long *old,
706 const unsigned long *new, int bits)
708 int w = bitmap_weight(new, bits);
709 int n = bitmap_pos_to_ord(old, oldbit, bits);
713 return bitmap_ord_to_pos(new, n % w, bits);
715 EXPORT_SYMBOL(bitmap_bitremap);
718 * bitmap_onto - translate one bitmap relative to another
719 * @dst: resulting translated bitmap
720 * @orig: original untranslated bitmap
721 * @relmap: bitmap relative to which translated
722 * @bits: number of bits in each of these bitmaps
724 * Set the n-th bit of @dst iff there exists some m such that the
725 * n-th bit of @relmap is set, the m-th bit of @orig is set, and
726 * the n-th bit of @relmap is also the m-th _set_ bit of @relmap.
727 * (If you understood the previous sentence the first time your
728 * read it, you're overqualified for your current job.)
730 * In other words, @orig is mapped onto (surjectively) @dst,
731 * using the the map { <n, m> | the n-th bit of @relmap is the
732 * m-th set bit of @relmap }.
734 * Any set bits in @orig above bit number W, where W is the
735 * weight of (number of set bits in) @relmap are mapped nowhere.
736 * In particular, if for all bits m set in @orig, m >= W, then
737 * @dst will end up empty. In situations where the possibility
738 * of such an empty result is not desired, one way to avoid it is
739 * to use the bitmap_fold() operator, below, to first fold the
740 * @orig bitmap over itself so that all its set bits x are in the
741 * range 0 <= x < W. The bitmap_fold() operator does this by
742 * setting the bit (m % W) in @dst, for each bit (m) set in @orig.
744 * Example [1] for bitmap_onto():
745 * Let's say @relmap has bits 30-39 set, and @orig has bits
746 * 1, 3, 5, 7, 9 and 11 set. Then on return from this routine,
747 * @dst will have bits 31, 33, 35, 37 and 39 set.
749 * When bit 0 is set in @orig, it means turn on the bit in
750 * @dst corresponding to whatever is the first bit (if any)
751 * that is turned on in @relmap. Since bit 0 was off in the
752 * above example, we leave off that bit (bit 30) in @dst.
754 * When bit 1 is set in @orig (as in the above example), it
755 * means turn on the bit in @dst corresponding to whatever
756 * is the second bit that is turned on in @relmap. The second
757 * bit in @relmap that was turned on in the above example was
758 * bit 31, so we turned on bit 31 in @dst.
760 * Similarly, we turned on bits 33, 35, 37 and 39 in @dst,
761 * because they were the 4th, 6th, 8th and 10th set bits
762 * set in @relmap, and the 4th, 6th, 8th and 10th bits of
763 * @orig (i.e. bits 3, 5, 7 and 9) were also set.
765 * When bit 11 is set in @orig, it means turn on the bit in
766 * @dst corresponding to whatever is the twelth bit that is
767 * turned on in @relmap. In the above example, there were
768 * only ten bits turned on in @relmap (30..39), so that bit
769 * 11 was set in @orig had no affect on @dst.
771 * Example [2] for bitmap_fold() + bitmap_onto():
772 * Let's say @relmap has these ten bits set:
773 * 40 41 42 43 45 48 53 61 74 95
774 * (for the curious, that's 40 plus the first ten terms of the
775 * Fibonacci sequence.)
777 * Further lets say we use the following code, invoking
778 * bitmap_fold() then bitmap_onto, as suggested above to
779 * avoid the possitility of an empty @dst result:
781 * unsigned long *tmp; // a temporary bitmap's bits
783 * bitmap_fold(tmp, orig, bitmap_weight(relmap, bits), bits);
784 * bitmap_onto(dst, tmp, relmap, bits);
786 * Then this table shows what various values of @dst would be, for
787 * various @orig's. I list the zero-based positions of each set bit.
788 * The tmp column shows the intermediate result, as computed by
789 * using bitmap_fold() to fold the @orig bitmap modulo ten
790 * (the weight of @relmap).
797 * 1 3 5 7 1 3 5 7 41 43 48 61
798 * 0 1 2 3 4 0 1 2 3 4 40 41 42 43 45
799 * 0 9 18 27 0 9 8 7 40 61 74 95
801 * 0 11 22 33 0 1 2 3 40 41 42 43
802 * 0 12 24 36 0 2 4 6 40 42 45 53
803 * 78 102 211 1 2 8 41 42 74 (*)
805 * (*) For these marked lines, if we hadn't first done bitmap_fold()
806 * into tmp, then the @dst result would have been empty.
808 * If either of @orig or @relmap is empty (no set bits), then @dst
809 * will be returned empty.
811 * If (as explained above) the only set bits in @orig are in positions
812 * m where m >= W, (where W is the weight of @relmap) then @dst will
813 * once again be returned empty.
815 * All bits in @dst not set by the above rule are cleared.
817 void bitmap_onto(unsigned long *dst, const unsigned long *orig,
818 const unsigned long *relmap, int bits)
820 int n, m; /* same meaning as in above comment */
822 if (dst == orig) /* following doesn't handle inplace mappings */
824 bitmap_zero(dst, bits);
827 * The following code is a more efficient, but less
828 * obvious, equivalent to the loop:
829 * for (m = 0; m < bitmap_weight(relmap, bits); m++) {
830 * n = bitmap_ord_to_pos(orig, m, bits);
831 * if (test_bit(m, orig))
837 for (n = find_first_bit(relmap, bits);
839 n = find_next_bit(relmap, bits, n + 1)) {
840 /* m == bitmap_pos_to_ord(relmap, n, bits) */
841 if (test_bit(m, orig))
846 EXPORT_SYMBOL(bitmap_onto);
849 * bitmap_fold - fold larger bitmap into smaller, modulo specified size
850 * @dst: resulting smaller bitmap
851 * @orig: original larger bitmap
852 * @sz: specified size
853 * @bits: number of bits in each of these bitmaps
855 * For each bit oldbit in @orig, set bit oldbit mod @sz in @dst.
856 * Clear all other bits in @dst. See further the comment and
857 * Example [2] for bitmap_onto() for why and how to use this.
859 void bitmap_fold(unsigned long *dst, const unsigned long *orig,
864 if (dst == orig) /* following doesn't handle inplace mappings */
866 bitmap_zero(dst, bits);
868 for (oldbit = find_first_bit(orig, bits);
870 oldbit = find_next_bit(orig, bits, oldbit + 1))
871 set_bit(oldbit % sz, dst);
873 EXPORT_SYMBOL(bitmap_fold);
876 * Common code for bitmap_*_region() routines.
877 * bitmap: array of unsigned longs corresponding to the bitmap
878 * pos: the beginning of the region
879 * order: region size (log base 2 of number of bits)
880 * reg_op: operation(s) to perform on that region of bitmap
882 * Can set, verify and/or release a region of bits in a bitmap,
883 * depending on which combination of REG_OP_* flag bits is set.
885 * A region of a bitmap is a sequence of bits in the bitmap, of
886 * some size '1 << order' (a power of two), aligned to that same
887 * '1 << order' power of two.
889 * Returns 1 if REG_OP_ISFREE succeeds (region is all zero bits).
890 * Returns 0 in all other cases and reg_ops.
894 REG_OP_ISFREE, /* true if region is all zero bits */
895 REG_OP_ALLOC, /* set all bits in region */
896 REG_OP_RELEASE, /* clear all bits in region */
899 static int __reg_op(unsigned long *bitmap, int pos, int order, int reg_op)
901 int nbits_reg; /* number of bits in region */
902 int index; /* index first long of region in bitmap */
903 int offset; /* bit offset region in bitmap[index] */
904 int nlongs_reg; /* num longs spanned by region in bitmap */
905 int nbitsinlong; /* num bits of region in each spanned long */
906 unsigned long mask; /* bitmask for one long of region */
907 int i; /* scans bitmap by longs */
908 int ret = 0; /* return value */
911 * Either nlongs_reg == 1 (for small orders that fit in one long)
912 * or (offset == 0 && mask == ~0UL) (for larger multiword orders.)
914 nbits_reg = 1 << order;
915 index = pos / BITS_PER_LONG;
916 offset = pos - (index * BITS_PER_LONG);
917 nlongs_reg = BITS_TO_LONGS(nbits_reg);
918 nbitsinlong = min(nbits_reg, BITS_PER_LONG);
921 * Can't do "mask = (1UL << nbitsinlong) - 1", as that
922 * overflows if nbitsinlong == BITS_PER_LONG.
924 mask = (1UL << (nbitsinlong - 1));
930 for (i = 0; i < nlongs_reg; i++) {
931 if (bitmap[index + i] & mask)
934 ret = 1; /* all bits in region free (zero) */
938 for (i = 0; i < nlongs_reg; i++)
939 bitmap[index + i] |= mask;
943 for (i = 0; i < nlongs_reg; i++)
944 bitmap[index + i] &= ~mask;
952 * bitmap_find_free_region - find a contiguous aligned mem region
953 * @bitmap: array of unsigned longs corresponding to the bitmap
954 * @bits: number of bits in the bitmap
955 * @order: region size (log base 2 of number of bits) to find
957 * Find a region of free (zero) bits in a @bitmap of @bits bits and
958 * allocate them (set them to one). Only consider regions of length
959 * a power (@order) of two, aligned to that power of two, which
960 * makes the search algorithm much faster.
962 * Return the bit offset in bitmap of the allocated region,
963 * or -errno on failure.
965 int bitmap_find_free_region(unsigned long *bitmap, int bits, int order)
967 int pos; /* scans bitmap by regions of size order */
969 for (pos = 0; pos < bits; pos += (1 << order))
970 if (__reg_op(bitmap, pos, order, REG_OP_ISFREE))
974 __reg_op(bitmap, pos, order, REG_OP_ALLOC);
977 EXPORT_SYMBOL(bitmap_find_free_region);
980 * bitmap_release_region - release allocated bitmap region
981 * @bitmap: array of unsigned longs corresponding to the bitmap
982 * @pos: beginning of bit region to release
983 * @order: region size (log base 2 of number of bits) to release
985 * This is the complement to __bitmap_find_free_region() and releases
986 * the found region (by clearing it in the bitmap).
990 void bitmap_release_region(unsigned long *bitmap, int pos, int order)
992 __reg_op(bitmap, pos, order, REG_OP_RELEASE);
994 EXPORT_SYMBOL(bitmap_release_region);
997 * bitmap_allocate_region - allocate bitmap region
998 * @bitmap: array of unsigned longs corresponding to the bitmap
999 * @pos: beginning of bit region to allocate
1000 * @order: region size (log base 2 of number of bits) to allocate
1002 * Allocate (set bits in) a specified region of a bitmap.
1004 * Return 0 on success, or %-EBUSY if specified region wasn't
1005 * free (not all bits were zero).
1007 int bitmap_allocate_region(unsigned long *bitmap, int pos, int order)
1009 if (!__reg_op(bitmap, pos, order, REG_OP_ISFREE))
1011 __reg_op(bitmap, pos, order, REG_OP_ALLOC);
1014 EXPORT_SYMBOL(bitmap_allocate_region);