linux/lib/bitmap.c
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   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/export.h>
   9#include <linux/thread_info.h>
  10#include <linux/ctype.h>
  11#include <linux/errno.h>
  12#include <linux/bitmap.h>
  13#include <linux/bitops.h>
  14#include <linux/bug.h>
  15#include <linux/kernel.h>
  16#include <linux/string.h>
  17
  18#include <asm/page.h>
  19#include <asm/uaccess.h>
  20
  21/*
  22 * bitmaps provide an array of bits, implemented using an an
  23 * array of unsigned longs.  The number of valid bits in a
  24 * given bitmap does _not_ need to be an exact multiple of
  25 * BITS_PER_LONG.
  26 *
  27 * The possible unused bits in the last, partially used word
  28 * of a bitmap are 'don't care'.  The implementation makes
  29 * no particular effort to keep them zero.  It ensures that
  30 * their value will not affect the results of any operation.
  31 * The bitmap operations that return Boolean (bitmap_empty,
  32 * for example) or scalar (bitmap_weight, for example) results
  33 * carefully filter out these unused bits from impacting their
  34 * results.
  35 *
  36 * These operations actually hold to a slightly stronger rule:
  37 * if you don't input any bitmaps to these ops that have some
  38 * unused bits set, then they won't output any set unused bits
  39 * in output bitmaps.
  40 *
  41 * The byte ordering of bitmaps is more natural on little
  42 * endian architectures.  See the big-endian headers
  43 * include/asm-ppc64/bitops.h and include/asm-s390/bitops.h
  44 * for the best explanations of this ordering.
  45 */
  46
  47int __bitmap_equal(const unsigned long *bitmap1,
  48                const unsigned long *bitmap2, unsigned int bits)
  49{
  50        unsigned int k, lim = bits/BITS_PER_LONG;
  51        for (k = 0; k < lim; ++k)
  52                if (bitmap1[k] != bitmap2[k])
  53                        return 0;
  54
  55        if (bits % BITS_PER_LONG)
  56                if ((bitmap1[k] ^ bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
  57                        return 0;
  58
  59        return 1;
  60}
  61EXPORT_SYMBOL(__bitmap_equal);
  62
  63void __bitmap_complement(unsigned long *dst, const unsigned long *src, unsigned int bits)
  64{
  65        unsigned int k, lim = bits/BITS_PER_LONG;
  66        for (k = 0; k < lim; ++k)
  67                dst[k] = ~src[k];
  68
  69        if (bits % BITS_PER_LONG)
  70                dst[k] = ~src[k];
  71}
  72EXPORT_SYMBOL(__bitmap_complement);
  73
  74/**
  75 * __bitmap_shift_right - logical right shift of the bits in a bitmap
  76 *   @dst : destination bitmap
  77 *   @src : source bitmap
  78 *   @shift : shift by this many bits
  79 *   @nbits : bitmap size, in bits
  80 *
  81 * Shifting right (dividing) means moving bits in the MS -> LS bit
  82 * direction.  Zeros are fed into the vacated MS positions and the
  83 * LS bits shifted off the bottom are lost.
  84 */
  85void __bitmap_shift_right(unsigned long *dst, const unsigned long *src,
  86                        unsigned shift, unsigned nbits)
  87{
  88        unsigned k, lim = BITS_TO_LONGS(nbits);
  89        unsigned off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG;
  90        unsigned long mask = BITMAP_LAST_WORD_MASK(nbits);
  91        for (k = 0; off + k < lim; ++k) {
  92                unsigned long upper, lower;
  93
  94                /*
  95                 * If shift is not word aligned, take lower rem bits of
  96                 * word above and make them the top rem bits of result.
  97                 */
  98                if (!rem || off + k + 1 >= lim)
  99                        upper = 0;
 100                else {
 101                        upper = src[off + k + 1];
 102                        if (off + k + 1 == lim - 1)
 103                                upper &= mask;
 104                        upper <<= (BITS_PER_LONG - rem);
 105                }
 106                lower = src[off + k];
 107                if (off + k == lim - 1)
 108                        lower &= mask;
 109                lower >>= rem;
 110                dst[k] = lower | upper;
 111        }
 112        if (off)
 113                memset(&dst[lim - off], 0, off*sizeof(unsigned long));
 114}
 115EXPORT_SYMBOL(__bitmap_shift_right);
 116
 117
 118/**
 119 * __bitmap_shift_left - logical left shift of the bits in a bitmap
 120 *   @dst : destination bitmap
 121 *   @src : source bitmap
 122 *   @shift : shift by this many bits
 123 *   @nbits : bitmap size, in bits
 124 *
 125 * Shifting left (multiplying) means moving bits in the LS -> MS
 126 * direction.  Zeros are fed into the vacated LS bit positions
 127 * and those MS bits shifted off the top are lost.
 128 */
 129
 130void __bitmap_shift_left(unsigned long *dst, const unsigned long *src,
 131                        unsigned int shift, unsigned int nbits)
 132{
 133        int k;
 134        unsigned int lim = BITS_TO_LONGS(nbits);
 135        unsigned int off = shift/BITS_PER_LONG, rem = shift % BITS_PER_LONG;
 136        for (k = lim - off - 1; k >= 0; --k) {
 137                unsigned long upper, lower;
 138
 139                /*
 140                 * If shift is not word aligned, take upper rem bits of
 141                 * word below and make them the bottom rem bits of result.
 142                 */
 143                if (rem && k > 0)
 144                        lower = src[k - 1] >> (BITS_PER_LONG - rem);
 145                else
 146                        lower = 0;
 147                upper = src[k] << rem;
 148                dst[k + off] = lower | upper;
 149        }
 150        if (off)
 151                memset(dst, 0, off*sizeof(unsigned long));
 152}
 153EXPORT_SYMBOL(__bitmap_shift_left);
 154
 155int __bitmap_and(unsigned long *dst, const unsigned long *bitmap1,
 156                                const unsigned long *bitmap2, unsigned int bits)
 157{
 158        unsigned int k;
 159        unsigned int lim = bits/BITS_PER_LONG;
 160        unsigned long result = 0;
 161
 162        for (k = 0; k < lim; k++)
 163                result |= (dst[k] = bitmap1[k] & bitmap2[k]);
 164        if (bits % BITS_PER_LONG)
 165                result |= (dst[k] = bitmap1[k] & bitmap2[k] &
 166                           BITMAP_LAST_WORD_MASK(bits));
 167        return result != 0;
 168}
 169EXPORT_SYMBOL(__bitmap_and);
 170
 171void __bitmap_or(unsigned long *dst, const unsigned long *bitmap1,
 172                                const unsigned long *bitmap2, unsigned int bits)
 173{
 174        unsigned int k;
 175        unsigned int nr = BITS_TO_LONGS(bits);
 176
 177        for (k = 0; k < nr; k++)
 178                dst[k] = bitmap1[k] | bitmap2[k];
 179}
 180EXPORT_SYMBOL(__bitmap_or);
 181
 182void __bitmap_xor(unsigned long *dst, const unsigned long *bitmap1,
 183                                const unsigned long *bitmap2, unsigned int bits)
 184{
 185        unsigned int k;
 186        unsigned int nr = BITS_TO_LONGS(bits);
 187
 188        for (k = 0; k < nr; k++)
 189                dst[k] = bitmap1[k] ^ bitmap2[k];
 190}
 191EXPORT_SYMBOL(__bitmap_xor);
 192
 193int __bitmap_andnot(unsigned long *dst, const unsigned long *bitmap1,
 194                                const unsigned long *bitmap2, unsigned int bits)
 195{
 196        unsigned int k;
 197        unsigned int lim = bits/BITS_PER_LONG;
 198        unsigned long result = 0;
 199
 200        for (k = 0; k < lim; k++)
 201                result |= (dst[k] = bitmap1[k] & ~bitmap2[k]);
 202        if (bits % BITS_PER_LONG)
 203                result |= (dst[k] = bitmap1[k] & ~bitmap2[k] &
 204                           BITMAP_LAST_WORD_MASK(bits));
 205        return result != 0;
 206}
 207EXPORT_SYMBOL(__bitmap_andnot);
 208
 209int __bitmap_intersects(const unsigned long *bitmap1,
 210                        const unsigned long *bitmap2, unsigned int bits)
 211{
 212        unsigned int k, lim = bits/BITS_PER_LONG;
 213        for (k = 0; k < lim; ++k)
 214                if (bitmap1[k] & bitmap2[k])
 215                        return 1;
 216
 217        if (bits % BITS_PER_LONG)
 218                if ((bitmap1[k] & bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
 219                        return 1;
 220        return 0;
 221}
 222EXPORT_SYMBOL(__bitmap_intersects);
 223
 224int __bitmap_subset(const unsigned long *bitmap1,
 225                    const unsigned long *bitmap2, unsigned int bits)
 226{
 227        unsigned int k, lim = bits/BITS_PER_LONG;
 228        for (k = 0; k < lim; ++k)
 229                if (bitmap1[k] & ~bitmap2[k])
 230                        return 0;
 231
 232        if (bits % BITS_PER_LONG)
 233                if ((bitmap1[k] & ~bitmap2[k]) & BITMAP_LAST_WORD_MASK(bits))
 234                        return 0;
 235        return 1;
 236}
 237EXPORT_SYMBOL(__bitmap_subset);
 238
 239int __bitmap_weight(const unsigned long *bitmap, unsigned int bits)
 240{
 241        unsigned int k, lim = bits/BITS_PER_LONG;
 242        int w = 0;
 243
 244        for (k = 0; k < lim; k++)
 245                w += hweight_long(bitmap[k]);
 246
 247        if (bits % BITS_PER_LONG)
 248                w += hweight_long(bitmap[k] & BITMAP_LAST_WORD_MASK(bits));
 249
 250        return w;
 251}
 252EXPORT_SYMBOL(__bitmap_weight);
 253
 254void bitmap_set(unsigned long *map, unsigned int start, int len)
 255{
 256        unsigned long *p = map + BIT_WORD(start);
 257        const unsigned int size = start + len;
 258        int bits_to_set = BITS_PER_LONG - (start % BITS_PER_LONG);
 259        unsigned long mask_to_set = BITMAP_FIRST_WORD_MASK(start);
 260
 261        while (len - bits_to_set >= 0) {
 262                *p |= mask_to_set;
 263                len -= bits_to_set;
 264                bits_to_set = BITS_PER_LONG;
 265                mask_to_set = ~0UL;
 266                p++;
 267        }
 268        if (len) {
 269                mask_to_set &= BITMAP_LAST_WORD_MASK(size);
 270                *p |= mask_to_set;
 271        }
 272}
 273EXPORT_SYMBOL(bitmap_set);
 274
 275void bitmap_clear(unsigned long *map, unsigned int start, int len)
 276{
 277        unsigned long *p = map + BIT_WORD(start);
 278        const unsigned int size = start + len;
 279        int bits_to_clear = BITS_PER_LONG - (start % BITS_PER_LONG);
 280        unsigned long mask_to_clear = BITMAP_FIRST_WORD_MASK(start);
 281
 282        while (len - bits_to_clear >= 0) {
 283                *p &= ~mask_to_clear;
 284                len -= bits_to_clear;
 285                bits_to_clear = BITS_PER_LONG;
 286                mask_to_clear = ~0UL;
 287                p++;
 288        }
 289        if (len) {
 290                mask_to_clear &= BITMAP_LAST_WORD_MASK(size);
 291                *p &= ~mask_to_clear;
 292        }
 293}
 294EXPORT_SYMBOL(bitmap_clear);
 295
 296/**
 297 * bitmap_find_next_zero_area_off - find a contiguous aligned zero area
 298 * @map: The address to base the search on
 299 * @size: The bitmap size in bits
 300 * @start: The bitnumber to start searching at
 301 * @nr: The number of zeroed bits we're looking for
 302 * @align_mask: Alignment mask for zero area
 303 * @align_offset: Alignment offset for zero area.
 304 *
 305 * The @align_mask should be one less than a power of 2; the effect is that
 306 * the bit offset of all zero areas this function finds plus @align_offset
 307 * is multiple of that power of 2.
 308 */
 309unsigned long bitmap_find_next_zero_area_off(unsigned long *map,
 310                                             unsigned long size,
 311                                             unsigned long start,
 312                                             unsigned int nr,
 313                                             unsigned long align_mask,
 314                                             unsigned long align_offset)
 315{
 316        unsigned long index, end, i;
 317again:
 318        index = find_next_zero_bit(map, size, start);
 319
 320        /* Align allocation */
 321        index = __ALIGN_MASK(index + align_offset, align_mask) - align_offset;
 322
 323        end = index + nr;
 324        if (end > size)
 325                return end;
 326        i = find_next_bit(map, end, index);
 327        if (i < end) {
 328                start = i + 1;
 329                goto again;
 330        }
 331        return index;
 332}
 333EXPORT_SYMBOL(bitmap_find_next_zero_area_off);
 334
 335/*
 336 * Bitmap printing & parsing functions: first version by Nadia Yvette Chambers,
 337 * second version by Paul Jackson, third by Joe Korty.
 338 */
 339
 340#define CHUNKSZ                         32
 341#define nbits_to_hold_value(val)        fls(val)
 342#define BASEDEC 10              /* fancier cpuset lists input in decimal */
 343
 344/**
 345 * __bitmap_parse - convert an ASCII hex string into a bitmap.
 346 * @buf: pointer to buffer containing string.
 347 * @buflen: buffer size in bytes.  If string is smaller than this
 348 *    then it must be terminated with a \0.
 349 * @is_user: location of buffer, 0 indicates kernel space
 350 * @maskp: pointer to bitmap array that will contain result.
 351 * @nmaskbits: size of bitmap, in bits.
 352 *
 353 * Commas group hex digits into chunks.  Each chunk defines exactly 32
 354 * bits of the resultant bitmask.  No chunk may specify a value larger
 355 * than 32 bits (%-EOVERFLOW), and if a chunk specifies a smaller value
 356 * then leading 0-bits are prepended.  %-EINVAL is returned for illegal
 357 * characters and for grouping errors such as "1,,5", ",44", "," and "".
 358 * Leading and trailing whitespace accepted, but not embedded whitespace.
 359 */
 360int __bitmap_parse(const char *buf, unsigned int buflen,
 361                int is_user, unsigned long *maskp,
 362                int nmaskbits)
 363{
 364        int c, old_c, totaldigits, ndigits, nchunks, nbits;
 365        u32 chunk;
 366        const char __user __force *ubuf = (const char __user __force *)buf;
 367
 368        bitmap_zero(maskp, nmaskbits);
 369
 370        nchunks = nbits = totaldigits = c = 0;
 371        do {
 372                chunk = 0;
 373                ndigits = totaldigits;
 374
 375                /* Get the next chunk of the bitmap */
 376                while (buflen) {
 377                        old_c = c;
 378                        if (is_user) {
 379                                if (__get_user(c, ubuf++))
 380                                        return -EFAULT;
 381                        }
 382                        else
 383                                c = *buf++;
 384                        buflen--;
 385                        if (isspace(c))
 386                                continue;
 387
 388                        /*
 389                         * If the last character was a space and the current
 390                         * character isn't '\0', we've got embedded whitespace.
 391                         * This is a no-no, so throw an error.
 392                         */
 393                        if (totaldigits && c && isspace(old_c))
 394                                return -EINVAL;
 395
 396                        /* A '\0' or a ',' signal the end of the chunk */
 397                        if (c == '\0' || c == ',')
 398                                break;
 399
 400                        if (!isxdigit(c))
 401                                return -EINVAL;
 402
 403                        /*
 404                         * Make sure there are at least 4 free bits in 'chunk'.
 405                         * If not, this hexdigit will overflow 'chunk', so
 406                         * throw an error.
 407                         */
 408                        if (chunk & ~((1UL << (CHUNKSZ - 4)) - 1))
 409                                return -EOVERFLOW;
 410
 411                        chunk = (chunk << 4) | hex_to_bin(c);
 412                        totaldigits++;
 413                }
 414                if (ndigits == totaldigits)
 415                        return -EINVAL;
 416                if (nchunks == 0 && chunk == 0)
 417                        continue;
 418
 419                __bitmap_shift_left(maskp, maskp, CHUNKSZ, nmaskbits);
 420                *maskp |= chunk;
 421                nchunks++;
 422                nbits += (nchunks == 1) ? nbits_to_hold_value(chunk) : CHUNKSZ;
 423                if (nbits > nmaskbits)
 424                        return -EOVERFLOW;
 425        } while (buflen && c == ',');
 426
 427        return 0;
 428}
 429EXPORT_SYMBOL(__bitmap_parse);
 430
 431/**
 432 * bitmap_parse_user - convert an ASCII hex string in a user buffer into a bitmap
 433 *
 434 * @ubuf: pointer to user buffer containing string.
 435 * @ulen: buffer size in bytes.  If string is smaller than this
 436 *    then it must be terminated with a \0.
 437 * @maskp: pointer to bitmap array that will contain result.
 438 * @nmaskbits: size of bitmap, in bits.
 439 *
 440 * Wrapper for __bitmap_parse(), providing it with user buffer.
 441 *
 442 * We cannot have this as an inline function in bitmap.h because it needs
 443 * linux/uaccess.h to get the access_ok() declaration and this causes
 444 * cyclic dependencies.
 445 */
 446int bitmap_parse_user(const char __user *ubuf,
 447                        unsigned int ulen, unsigned long *maskp,
 448                        int nmaskbits)
 449{
 450        if (!access_ok(VERIFY_READ, ubuf, ulen))
 451                return -EFAULT;
 452        return __bitmap_parse((const char __force *)ubuf,
 453                                ulen, 1, maskp, nmaskbits);
 454
 455}
 456EXPORT_SYMBOL(bitmap_parse_user);
 457
 458/**
 459 * bitmap_print_to_pagebuf - convert bitmap to list or hex format ASCII string
 460 * @list: indicates whether the bitmap must be list
 461 * @buf: page aligned buffer into which string is placed
 462 * @maskp: pointer to bitmap to convert
 463 * @nmaskbits: size of bitmap, in bits
 464 *
 465 * Output format is a comma-separated list of decimal numbers and
 466 * ranges if list is specified or hex digits grouped into comma-separated
 467 * sets of 8 digits/set. Returns the number of characters written to buf.
 468 *
 469 * It is assumed that @buf is a pointer into a PAGE_SIZE area and that
 470 * sufficient storage remains at @buf to accommodate the
 471 * bitmap_print_to_pagebuf() output.
 472 */
 473int bitmap_print_to_pagebuf(bool list, char *buf, const unsigned long *maskp,
 474                            int nmaskbits)
 475{
 476        ptrdiff_t len = PTR_ALIGN(buf + PAGE_SIZE - 1, PAGE_SIZE) - buf;
 477        int n = 0;
 478
 479        if (len > 1)
 480                n = list ? scnprintf(buf, len, "%*pbl\n", nmaskbits, maskp) :
 481                           scnprintf(buf, len, "%*pb\n", nmaskbits, maskp);
 482        return n;
 483}
 484EXPORT_SYMBOL(bitmap_print_to_pagebuf);
 485
 486/**
 487 * __bitmap_parselist - convert list format ASCII string to bitmap
 488 * @buf: read nul-terminated user string from this buffer
 489 * @buflen: buffer size in bytes.  If string is smaller than this
 490 *    then it must be terminated with a \0.
 491 * @is_user: location of buffer, 0 indicates kernel space
 492 * @maskp: write resulting mask here
 493 * @nmaskbits: number of bits in mask to be written
 494 *
 495 * Input format is a comma-separated list of decimal numbers and
 496 * ranges.  Consecutively set bits are shown as two hyphen-separated
 497 * decimal numbers, the smallest and largest bit numbers set in
 498 * the range.
 499 *
 500 * Returns 0 on success, -errno on invalid input strings.
 501 * Error values:
 502 *    %-EINVAL: second number in range smaller than first
 503 *    %-EINVAL: invalid character in string
 504 *    %-ERANGE: bit number specified too large for mask
 505 */
 506static int __bitmap_parselist(const char *buf, unsigned int buflen,
 507                int is_user, unsigned long *maskp,
 508                int nmaskbits)
 509{
 510        unsigned a, b;
 511        int c, old_c, totaldigits, ndigits;
 512        const char __user __force *ubuf = (const char __user __force *)buf;
 513        int at_start, in_range;
 514
 515        totaldigits = c = 0;
 516        bitmap_zero(maskp, nmaskbits);
 517        do {
 518                at_start = 1;
 519                in_range = 0;
 520                a = b = 0;
 521                ndigits = totaldigits;
 522
 523                /* Get the next cpu# or a range of cpu#'s */
 524                while (buflen) {
 525                        old_c = c;
 526                        if (is_user) {
 527                                if (__get_user(c, ubuf++))
 528                                        return -EFAULT;
 529                        } else
 530                                c = *buf++;
 531                        buflen--;
 532                        if (isspace(c))
 533                                continue;
 534
 535                        /* A '\0' or a ',' signal the end of a cpu# or range */
 536                        if (c == '\0' || c == ',')
 537                                break;
 538                        /*
 539                        * whitespaces between digits are not allowed,
 540                        * but it's ok if whitespaces are on head or tail.
 541                        * when old_c is whilespace,
 542                        * if totaldigits == ndigits, whitespace is on head.
 543                        * if whitespace is on tail, it should not run here.
 544                        * as c was ',' or '\0',
 545                        * the last code line has broken the current loop.
 546                        */
 547                        if ((totaldigits != ndigits) && isspace(old_c))
 548                                return -EINVAL;
 549
 550                        if (c == '-') {
 551                                if (at_start || in_range)
 552                                        return -EINVAL;
 553                                b = 0;
 554                                in_range = 1;
 555                                at_start = 1;
 556                                continue;
 557                        }
 558
 559                        if (!isdigit(c))
 560                                return -EINVAL;
 561
 562                        b = b * 10 + (c - '0');
 563                        if (!in_range)
 564                                a = b;
 565                        at_start = 0;
 566                        totaldigits++;
 567                }
 568                if (ndigits == totaldigits)
 569                        continue;
 570                /* if no digit is after '-', it's wrong*/
 571                if (at_start && in_range)
 572                        return -EINVAL;
 573                if (!(a <= b))
 574                        return -EINVAL;
 575                if (b >= nmaskbits)
 576                        return -ERANGE;
 577                while (a <= b) {
 578                        set_bit(a, maskp);
 579                        a++;
 580                }
 581        } while (buflen && c == ',');
 582        return 0;
 583}
 584
 585int bitmap_parselist(const char *bp, unsigned long *maskp, int nmaskbits)
 586{
 587        char *nl  = strchrnul(bp, '\n');
 588        int len = nl - bp;
 589
 590        return __bitmap_parselist(bp, len, 0, maskp, nmaskbits);
 591}
 592EXPORT_SYMBOL(bitmap_parselist);
 593
 594
 595/**
 596 * bitmap_parselist_user()
 597 *
 598 * @ubuf: pointer to user buffer containing string.
 599 * @ulen: buffer size in bytes.  If string is smaller than this
 600 *    then it must be terminated with a \0.
 601 * @maskp: pointer to bitmap array that will contain result.
 602 * @nmaskbits: size of bitmap, in bits.
 603 *
 604 * Wrapper for bitmap_parselist(), providing it with user buffer.
 605 *
 606 * We cannot have this as an inline function in bitmap.h because it needs
 607 * linux/uaccess.h to get the access_ok() declaration and this causes
 608 * cyclic dependencies.
 609 */
 610int bitmap_parselist_user(const char __user *ubuf,
 611                        unsigned int ulen, unsigned long *maskp,
 612                        int nmaskbits)
 613{
 614        if (!access_ok(VERIFY_READ, ubuf, ulen))
 615                return -EFAULT;
 616        return __bitmap_parselist((const char __force *)ubuf,
 617                                        ulen, 1, maskp, nmaskbits);
 618}
 619EXPORT_SYMBOL(bitmap_parselist_user);
 620
 621
 622/**
 623 * bitmap_pos_to_ord - find ordinal of set bit at given position in bitmap
 624 *      @buf: pointer to a bitmap
 625 *      @pos: a bit position in @buf (0 <= @pos < @nbits)
 626 *      @nbits: number of valid bit positions in @buf
 627 *
 628 * Map the bit at position @pos in @buf (of length @nbits) to the
 629 * ordinal of which set bit it is.  If it is not set or if @pos
 630 * is not a valid bit position, map to -1.
 631 *
 632 * If for example, just bits 4 through 7 are set in @buf, then @pos
 633 * values 4 through 7 will get mapped to 0 through 3, respectively,
 634 * and other @pos values will get mapped to -1.  When @pos value 7
 635 * gets mapped to (returns) @ord value 3 in this example, that means
 636 * that bit 7 is the 3rd (starting with 0th) set bit in @buf.
 637 *
 638 * The bit positions 0 through @bits are valid positions in @buf.
 639 */
 640static int bitmap_pos_to_ord(const unsigned long *buf, unsigned int pos, unsigned int nbits)
 641{
 642        if (pos >= nbits || !test_bit(pos, buf))
 643                return -1;
 644
 645        return __bitmap_weight(buf, pos);
 646}
 647
 648/**
 649 * bitmap_ord_to_pos - find position of n-th set bit in bitmap
 650 *      @buf: pointer to bitmap
 651 *      @ord: ordinal bit position (n-th set bit, n >= 0)
 652 *      @nbits: number of valid bit positions in @buf
 653 *
 654 * Map the ordinal offset of bit @ord in @buf to its position in @buf.
 655 * Value of @ord should be in range 0 <= @ord < weight(buf). If @ord
 656 * >= weight(buf), returns @nbits.
 657 *
 658 * If for example, just bits 4 through 7 are set in @buf, then @ord
 659 * values 0 through 3 will get mapped to 4 through 7, respectively,
 660 * and all other @ord values returns @nbits.  When @ord value 3
 661 * gets mapped to (returns) @pos value 7 in this example, that means
 662 * that the 3rd set bit (starting with 0th) is at position 7 in @buf.
 663 *
 664 * The bit positions 0 through @nbits-1 are valid positions in @buf.
 665 */
 666unsigned int bitmap_ord_to_pos(const unsigned long *buf, unsigned int ord, unsigned int nbits)
 667{
 668        unsigned int pos;
 669
 670        for (pos = find_first_bit(buf, nbits);
 671             pos < nbits && ord;
 672             pos = find_next_bit(buf, nbits, pos + 1))
 673                ord--;
 674
 675        return pos;
 676}
 677
 678/**
 679 * bitmap_remap - Apply map defined by a pair of bitmaps to another bitmap
 680 *      @dst: remapped result
 681 *      @src: subset to be remapped
 682 *      @old: defines domain of map
 683 *      @new: defines range of map
 684 *      @nbits: number of bits in each of these bitmaps
 685 *
 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.
 692 *
 693 * If either of the @old and @new bitmaps are empty, or if @src and
 694 * @dst point to the same location, then this routine copies @src
 695 * to @dst.
 696 *
 697 * The positions of unset bits in @old are mapped to themselves
 698 * (the identify map).
 699 *
 700 * Apply the above specified mapping to @src, placing the result in
 701 * @dst, clearing any bits previously set in @dst.
 702 *
 703 * For example, lets say that @old has bits 4 through 7 set, and
 704 * @new has bits 12 through 15 set.  This defines the mapping of bit
 705 * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
 706 * bit positions unchanged.  So if say @src comes into this routine
 707 * with bits 1, 5 and 7 set, then @dst should leave with bits 1,
 708 * 13 and 15 set.
 709 */
 710void bitmap_remap(unsigned long *dst, const unsigned long *src,
 711                const unsigned long *old, const unsigned long *new,
 712                unsigned int nbits)
 713{
 714        unsigned int oldbit, w;
 715
 716        if (dst == src)         /* following doesn't handle inplace remaps */
 717                return;
 718        bitmap_zero(dst, nbits);
 719
 720        w = bitmap_weight(new, nbits);
 721        for_each_set_bit(oldbit, src, nbits) {
 722                int n = bitmap_pos_to_ord(old, oldbit, nbits);
 723
 724                if (n < 0 || w == 0)
 725                        set_bit(oldbit, dst);   /* identity map */
 726                else
 727                        set_bit(bitmap_ord_to_pos(new, n % w, nbits), dst);
 728        }
 729}
 730EXPORT_SYMBOL(bitmap_remap);
 731
 732/**
 733 * bitmap_bitremap - Apply map defined by a pair of bitmaps to a single bit
 734 *      @oldbit: bit position to be mapped
 735 *      @old: defines domain of map
 736 *      @new: defines range of map
 737 *      @bits: number of bits in each of these bitmaps
 738 *
 739 * Let @old and @new define a mapping of bit positions, such that
 740 * whatever position is held by the n-th set bit in @old is mapped
 741 * to the n-th set bit in @new.  In the more general case, allowing
 742 * for the possibility that the weight 'w' of @new is less than the
 743 * weight of @old, map the position of the n-th set bit in @old to
 744 * the position of the m-th set bit in @new, where m == n % w.
 745 *
 746 * The positions of unset bits in @old are mapped to themselves
 747 * (the identify map).
 748 *
 749 * Apply the above specified mapping to bit position @oldbit, returning
 750 * the new bit position.
 751 *
 752 * For example, lets say that @old has bits 4 through 7 set, and
 753 * @new has bits 12 through 15 set.  This defines the mapping of bit
 754 * position 4 to 12, 5 to 13, 6 to 14 and 7 to 15, and of all other
 755 * bit positions unchanged.  So if say @oldbit is 5, then this routine
 756 * returns 13.
 757 */
 758int bitmap_bitremap(int oldbit, const unsigned long *old,
 759                                const unsigned long *new, int bits)
 760{
 761        int w = bitmap_weight(new, bits);
 762        int n = bitmap_pos_to_ord(old, oldbit, bits);
 763        if (n < 0 || w == 0)
 764                return oldbit;
 765        else
 766                return bitmap_ord_to_pos(new, n % w, bits);
 767}
 768EXPORT_SYMBOL(bitmap_bitremap);
 769
 770/**
 771 * bitmap_onto - translate one bitmap relative to another
 772 *      @dst: resulting translated bitmap
 773 *      @orig: original untranslated bitmap
 774 *      @relmap: bitmap relative to which translated
 775 *      @bits: number of bits in each of these bitmaps
 776 *
 777 * Set the n-th bit of @dst iff there exists some m such that the
 778 * n-th bit of @relmap is set, the m-th bit of @orig is set, and
 779 * the n-th bit of @relmap is also the m-th _set_ bit of @relmap.
 780 * (If you understood the previous sentence the first time your
 781 * read it, you're overqualified for your current job.)
 782 *
 783 * In other words, @orig is mapped onto (surjectively) @dst,
 784 * using the map { <n, m> | the n-th bit of @relmap is the
 785 * m-th set bit of @relmap }.
 786 *
 787 * Any set bits in @orig above bit number W, where W is the
 788 * weight of (number of set bits in) @relmap are mapped nowhere.
 789 * In particular, if for all bits m set in @orig, m >= W, then
 790 * @dst will end up empty.  In situations where the possibility
 791 * of such an empty result is not desired, one way to avoid it is
 792 * to use the bitmap_fold() operator, below, to first fold the
 793 * @orig bitmap over itself so that all its set bits x are in the
 794 * range 0 <= x < W.  The bitmap_fold() operator does this by
 795 * setting the bit (m % W) in @dst, for each bit (m) set in @orig.
 796 *
 797 * Example [1] for bitmap_onto():
 798 *  Let's say @relmap has bits 30-39 set, and @orig has bits
 799 *  1, 3, 5, 7, 9 and 11 set.  Then on return from this routine,
 800 *  @dst will have bits 31, 33, 35, 37 and 39 set.
 801 *
 802 *  When bit 0 is set in @orig, it means turn on the bit in
 803 *  @dst corresponding to whatever is the first bit (if any)
 804 *  that is turned on in @relmap.  Since bit 0 was off in the
 805 *  above example, we leave off that bit (bit 30) in @dst.
 806 *
 807 *  When bit 1 is set in @orig (as in the above example), it
 808 *  means turn on the bit in @dst corresponding to whatever
 809 *  is the second bit that is turned on in @relmap.  The second
 810 *  bit in @relmap that was turned on in the above example was
 811 *  bit 31, so we turned on bit 31 in @dst.
 812 *
 813 *  Similarly, we turned on bits 33, 35, 37 and 39 in @dst,
 814 *  because they were the 4th, 6th, 8th and 10th set bits
 815 *  set in @relmap, and the 4th, 6th, 8th and 10th bits of
 816 *  @orig (i.e. bits 3, 5, 7 and 9) were also set.
 817 *
 818 *  When bit 11 is set in @orig, it means turn on the bit in
 819 *  @dst corresponding to whatever is the twelfth bit that is
 820 *  turned on in @relmap.  In the above example, there were
 821 *  only ten bits turned on in @relmap (30..39), so that bit
 822 *  11 was set in @orig had no affect on @dst.
 823 *
 824 * Example [2] for bitmap_fold() + bitmap_onto():
 825 *  Let's say @relmap has these ten bits set:
 826 *              40 41 42 43 45 48 53 61 74 95
 827 *  (for the curious, that's 40 plus the first ten terms of the
 828 *  Fibonacci sequence.)
 829 *
 830 *  Further lets say we use the following code, invoking
 831 *  bitmap_fold() then bitmap_onto, as suggested above to
 832 *  avoid the possibility of an empty @dst result:
 833 *
 834 *      unsigned long *tmp;     // a temporary bitmap's bits
 835 *
 836 *      bitmap_fold(tmp, orig, bitmap_weight(relmap, bits), bits);
 837 *      bitmap_onto(dst, tmp, relmap, bits);
 838 *
 839 *  Then this table shows what various values of @dst would be, for
 840 *  various @orig's.  I list the zero-based positions of each set bit.
 841 *  The tmp column shows the intermediate result, as computed by
 842 *  using bitmap_fold() to fold the @orig bitmap modulo ten
 843 *  (the weight of @relmap).
 844 *
 845 *      @orig           tmp            @dst
 846 *      0                0             40
 847 *      1                1             41
 848 *      9                9             95
 849 *      10               0             40 (*)
 850 *      1 3 5 7          1 3 5 7       41 43 48 61
 851 *      0 1 2 3 4        0 1 2 3 4     40 41 42 43 45
 852 *      0 9 18 27        0 9 8 7       40 61 74 95
 853 *      0 10 20 30       0             40
 854 *      0 11 22 33       0 1 2 3       40 41 42 43
 855 *      0 12 24 36       0 2 4 6       40 42 45 53
 856 *      78 102 211       1 2 8         41 42 74 (*)
 857 *
 858 * (*) For these marked lines, if we hadn't first done bitmap_fold()
 859 *     into tmp, then the @dst result would have been empty.
 860 *
 861 * If either of @orig or @relmap is empty (no set bits), then @dst
 862 * will be returned empty.
 863 *
 864 * If (as explained above) the only set bits in @orig are in positions
 865 * m where m >= W, (where W is the weight of @relmap) then @dst will
 866 * once again be returned empty.
 867 *
 868 * All bits in @dst not set by the above rule are cleared.
 869 */
 870void bitmap_onto(unsigned long *dst, const unsigned long *orig,
 871                        const unsigned long *relmap, unsigned int bits)
 872{
 873        unsigned int n, m;      /* same meaning as in above comment */
 874
 875        if (dst == orig)        /* following doesn't handle inplace mappings */
 876                return;
 877        bitmap_zero(dst, bits);
 878
 879        /*
 880         * The following code is a more efficient, but less
 881         * obvious, equivalent to the loop:
 882         *      for (m = 0; m < bitmap_weight(relmap, bits); m++) {
 883         *              n = bitmap_ord_to_pos(orig, m, bits);
 884         *              if (test_bit(m, orig))
 885         *                      set_bit(n, dst);
 886         *      }
 887         */
 888
 889        m = 0;
 890        for_each_set_bit(n, relmap, bits) {
 891                /* m == bitmap_pos_to_ord(relmap, n, bits) */
 892                if (test_bit(m, orig))
 893                        set_bit(n, dst);
 894                m++;
 895        }
 896}
 897EXPORT_SYMBOL(bitmap_onto);
 898
 899/**
 900 * bitmap_fold - fold larger bitmap into smaller, modulo specified size
 901 *      @dst: resulting smaller bitmap
 902 *      @orig: original larger bitmap
 903 *      @sz: specified size
 904 *      @nbits: number of bits in each of these bitmaps
 905 *
 906 * For each bit oldbit in @orig, set bit oldbit mod @sz in @dst.
 907 * Clear all other bits in @dst.  See further the comment and
 908 * Example [2] for bitmap_onto() for why and how to use this.
 909 */
 910void bitmap_fold(unsigned long *dst, const unsigned long *orig,
 911                        unsigned int sz, unsigned int nbits)
 912{
 913        unsigned int oldbit;
 914
 915        if (dst == orig)        /* following doesn't handle inplace mappings */
 916                return;
 917        bitmap_zero(dst, nbits);
 918
 919        for_each_set_bit(oldbit, orig, nbits)
 920                set_bit(oldbit % sz, dst);
 921}
 922EXPORT_SYMBOL(bitmap_fold);
 923
 924/*
 925 * Common code for bitmap_*_region() routines.
 926 *      bitmap: array of unsigned longs corresponding to the bitmap
 927 *      pos: the beginning of the region
 928 *      order: region size (log base 2 of number of bits)
 929 *      reg_op: operation(s) to perform on that region of bitmap
 930 *
 931 * Can set, verify and/or release a region of bits in a bitmap,
 932 * depending on which combination of REG_OP_* flag bits is set.
 933 *
 934 * A region of a bitmap is a sequence of bits in the bitmap, of
 935 * some size '1 << order' (a power of two), aligned to that same
 936 * '1 << order' power of two.
 937 *
 938 * Returns 1 if REG_OP_ISFREE succeeds (region is all zero bits).
 939 * Returns 0 in all other cases and reg_ops.
 940 */
 941
 942enum {
 943        REG_OP_ISFREE,          /* true if region is all zero bits */
 944        REG_OP_ALLOC,           /* set all bits in region */
 945        REG_OP_RELEASE,         /* clear all bits in region */
 946};
 947
 948static int __reg_op(unsigned long *bitmap, unsigned int pos, int order, int reg_op)
 949{
 950        int nbits_reg;          /* number of bits in region */
 951        int index;              /* index first long of region in bitmap */
 952        int offset;             /* bit offset region in bitmap[index] */
 953        int nlongs_reg;         /* num longs spanned by region in bitmap */
 954        int nbitsinlong;        /* num bits of region in each spanned long */
 955        unsigned long mask;     /* bitmask for one long of region */
 956        int i;                  /* scans bitmap by longs */
 957        int ret = 0;            /* return value */
 958
 959        /*
 960         * Either nlongs_reg == 1 (for small orders that fit in one long)
 961         * or (offset == 0 && mask == ~0UL) (for larger multiword orders.)
 962         */
 963        nbits_reg = 1 << order;
 964        index = pos / BITS_PER_LONG;
 965        offset = pos - (index * BITS_PER_LONG);
 966        nlongs_reg = BITS_TO_LONGS(nbits_reg);
 967        nbitsinlong = min(nbits_reg,  BITS_PER_LONG);
 968
 969        /*
 970         * Can't do "mask = (1UL << nbitsinlong) - 1", as that
 971         * overflows if nbitsinlong == BITS_PER_LONG.
 972         */
 973        mask = (1UL << (nbitsinlong - 1));
 974        mask += mask - 1;
 975        mask <<= offset;
 976
 977        switch (reg_op) {
 978        case REG_OP_ISFREE:
 979                for (i = 0; i < nlongs_reg; i++) {
 980                        if (bitmap[index + i] & mask)
 981                                goto done;
 982                }
 983                ret = 1;        /* all bits in region free (zero) */
 984                break;
 985
 986        case REG_OP_ALLOC:
 987                for (i = 0; i < nlongs_reg; i++)
 988                        bitmap[index + i] |= mask;
 989                break;
 990
 991        case REG_OP_RELEASE:
 992                for (i = 0; i < nlongs_reg; i++)
 993                        bitmap[index + i] &= ~mask;
 994                break;
 995        }
 996done:
 997        return ret;
 998}
 999
1000/**
1001 * bitmap_find_free_region - find a contiguous aligned mem region
1002 *      @bitmap: array of unsigned longs corresponding to the bitmap
1003 *      @bits: number of bits in the bitmap
1004 *      @order: region size (log base 2 of number of bits) to find
1005 *
1006 * Find a region of free (zero) bits in a @bitmap of @bits bits and
1007 * allocate them (set them to one).  Only consider regions of length
1008 * a power (@order) of two, aligned to that power of two, which
1009 * makes the search algorithm much faster.
1010 *
1011 * Return the bit offset in bitmap of the allocated region,
1012 * or -errno on failure.
1013 */
1014int bitmap_find_free_region(unsigned long *bitmap, unsigned int bits, int order)
1015{
1016        unsigned int pos, end;          /* scans bitmap by regions of size order */
1017
1018        for (pos = 0 ; (end = pos + (1U << order)) <= bits; pos = end) {
1019                if (!__reg_op(bitmap, pos, order, REG_OP_ISFREE))
1020                        continue;
1021                __reg_op(bitmap, pos, order, REG_OP_ALLOC);
1022                return pos;
1023        }
1024        return -ENOMEM;
1025}
1026EXPORT_SYMBOL(bitmap_find_free_region);
1027
1028/**
1029 * bitmap_release_region - release allocated bitmap region
1030 *      @bitmap: array of unsigned longs corresponding to the bitmap
1031 *      @pos: beginning of bit region to release
1032 *      @order: region size (log base 2 of number of bits) to release
1033 *
1034 * This is the complement to __bitmap_find_free_region() and releases
1035 * the found region (by clearing it in the bitmap).
1036 *
1037 * No return value.
1038 */
1039void bitmap_release_region(unsigned long *bitmap, unsigned int pos, int order)
1040{
1041        __reg_op(bitmap, pos, order, REG_OP_RELEASE);
1042}
1043EXPORT_SYMBOL(bitmap_release_region);
1044
1045/**
1046 * bitmap_allocate_region - allocate bitmap region
1047 *      @bitmap: array of unsigned longs corresponding to the bitmap
1048 *      @pos: beginning of bit region to allocate
1049 *      @order: region size (log base 2 of number of bits) to allocate
1050 *
1051 * Allocate (set bits in) a specified region of a bitmap.
1052 *
1053 * Return 0 on success, or %-EBUSY if specified region wasn't
1054 * free (not all bits were zero).
1055 */
1056int bitmap_allocate_region(unsigned long *bitmap, unsigned int pos, int order)
1057{
1058        if (!__reg_op(bitmap, pos, order, REG_OP_ISFREE))
1059                return -EBUSY;
1060        return __reg_op(bitmap, pos, order, REG_OP_ALLOC);
1061}
1062EXPORT_SYMBOL(bitmap_allocate_region);
1063
1064/**
1065 * bitmap_from_u32array - copy the contents of a u32 array of bits to bitmap
1066 *      @bitmap: array of unsigned longs, the destination bitmap, non NULL
1067 *      @nbits: number of bits in @bitmap
1068 *      @buf: array of u32 (in host byte order), the source bitmap, non NULL
1069 *      @nwords: number of u32 words in @buf
1070 *
1071 * copy min(nbits, 32*nwords) bits from @buf to @bitmap, remaining
1072 * bits between nword and nbits in @bitmap (if any) are cleared. In
1073 * last word of @bitmap, the bits beyond nbits (if any) are kept
1074 * unchanged.
1075 *
1076 * Return the number of bits effectively copied.
1077 */
1078unsigned int
1079bitmap_from_u32array(unsigned long *bitmap, unsigned int nbits,
1080                     const u32 *buf, unsigned int nwords)
1081{
1082        unsigned int dst_idx, src_idx;
1083
1084        for (src_idx = dst_idx = 0; dst_idx < BITS_TO_LONGS(nbits); ++dst_idx) {
1085                unsigned long part = 0;
1086
1087                if (src_idx < nwords)
1088                        part = buf[src_idx++];
1089
1090#if BITS_PER_LONG == 64
1091                if (src_idx < nwords)
1092                        part |= ((unsigned long) buf[src_idx++]) << 32;
1093#endif
1094
1095                if (dst_idx < nbits/BITS_PER_LONG)
1096                        bitmap[dst_idx] = part;
1097                else {
1098                        unsigned long mask = BITMAP_LAST_WORD_MASK(nbits);
1099
1100                        bitmap[dst_idx] = (bitmap[dst_idx] & ~mask)
1101                                | (part & mask);
1102                }
1103        }
1104
1105        return min_t(unsigned int, nbits, 32*nwords);
1106}
1107EXPORT_SYMBOL(bitmap_from_u32array);
1108
1109/**
1110 * bitmap_to_u32array - copy the contents of bitmap to a u32 array of bits
1111 *      @buf: array of u32 (in host byte order), the dest bitmap, non NULL
1112 *      @nwords: number of u32 words in @buf
1113 *      @bitmap: array of unsigned longs, the source bitmap, non NULL
1114 *      @nbits: number of bits in @bitmap
1115 *
1116 * copy min(nbits, 32*nwords) bits from @bitmap to @buf. Remaining
1117 * bits after nbits in @buf (if any) are cleared.
1118 *
1119 * Return the number of bits effectively copied.
1120 */
1121unsigned int
1122bitmap_to_u32array(u32 *buf, unsigned int nwords,
1123                   const unsigned long *bitmap, unsigned int nbits)
1124{
1125        unsigned int dst_idx = 0, src_idx = 0;
1126
1127        while (dst_idx < nwords) {
1128                unsigned long part = 0;
1129
1130                if (src_idx < BITS_TO_LONGS(nbits)) {
1131                        part = bitmap[src_idx];
1132                        if (src_idx >= nbits/BITS_PER_LONG)
1133                                part &= BITMAP_LAST_WORD_MASK(nbits);
1134                        src_idx++;
1135                }
1136
1137                buf[dst_idx++] = part & 0xffffffffUL;
1138
1139#if BITS_PER_LONG == 64
1140                if (dst_idx < nwords) {
1141                        part >>= 32;
1142                        buf[dst_idx++] = part & 0xffffffffUL;
1143                }
1144#endif
1145        }
1146
1147        return min_t(unsigned int, nbits, 32*nwords);
1148}
1149EXPORT_SYMBOL(bitmap_to_u32array);
1150
1151/**
1152 * bitmap_copy_le - copy a bitmap, putting the bits into little-endian order.
1153 * @dst:   destination buffer
1154 * @src:   bitmap to copy
1155 * @nbits: number of bits in the bitmap
1156 *
1157 * Require nbits % BITS_PER_LONG == 0.
1158 */
1159#ifdef __BIG_ENDIAN
1160void bitmap_copy_le(unsigned long *dst, const unsigned long *src, unsigned int nbits)
1161{
1162        unsigned int i;
1163
1164        for (i = 0; i < nbits/BITS_PER_LONG; i++) {
1165                if (BITS_PER_LONG == 64)
1166                        dst[i] = cpu_to_le64(src[i]);
1167                else
1168                        dst[i] = cpu_to_le32(src[i]);
1169        }
1170}
1171EXPORT_SYMBOL(bitmap_copy_le);
1172#endif
1173