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Diffstat (limited to 'contrib/qemu/util/hbitmap.c')
| -rw-r--r-- | contrib/qemu/util/hbitmap.c | 402 | 
1 files changed, 402 insertions, 0 deletions
diff --git a/contrib/qemu/util/hbitmap.c b/contrib/qemu/util/hbitmap.c new file mode 100644 index 000000000..d93683128 --- /dev/null +++ b/contrib/qemu/util/hbitmap.c @@ -0,0 +1,402 @@ +/* + * Hierarchical Bitmap Data Type + * + * Copyright Red Hat, Inc., 2012 + * + * Author: Paolo Bonzini <pbonzini@redhat.com> + * + * This work is licensed under the terms of the GNU GPL, version 2 or + * later.  See the COPYING file in the top-level directory. + */ + +#include <string.h> +#include <glib.h> +#include <assert.h> +#include "qemu/osdep.h" +#include "qemu/hbitmap.h" +#include "qemu/host-utils.h" +#include "trace.h" + +/* HBitmaps provides an array of bits.  The bits are stored as usual in an + * array of unsigned longs, but HBitmap is also optimized to provide fast + * iteration over set bits; going from one bit to the next is O(logB n) + * worst case, with B = sizeof(long) * CHAR_BIT: the result is low enough + * that the number of levels is in fact fixed. + * + * In order to do this, it stacks multiple bitmaps with progressively coarser + * granularity; in all levels except the last, bit N is set iff the N-th + * unsigned long is nonzero in the immediately next level.  When iteration + * completes on the last level it can examine the 2nd-last level to quickly + * skip entire words, and even do so recursively to skip blocks of 64 words or + * powers thereof (32 on 32-bit machines). + * + * Given an index in the bitmap, it can be split in group of bits like + * this (for the 64-bit case): + * + *   bits 0-57 => word in the last bitmap     | bits 58-63 => bit in the word + *   bits 0-51 => word in the 2nd-last bitmap | bits 52-57 => bit in the word + *   bits 0-45 => word in the 3rd-last bitmap | bits 46-51 => bit in the word + * + * So it is easy to move up simply by shifting the index right by + * log2(BITS_PER_LONG) bits.  To move down, you shift the index left + * similarly, and add the word index within the group.  Iteration uses + * ffs (find first set bit) to find the next word to examine; this + * operation can be done in constant time in most current architectures. + * + * Setting or clearing a range of m bits on all levels, the work to perform + * is O(m + m/W + m/W^2 + ...), which is O(m) like on a regular bitmap. + * + * When iterating on a bitmap, each bit (on any level) is only visited + * once.  Hence, The total cost of visiting a bitmap with m bits in it is + * the number of bits that are set in all bitmaps.  Unless the bitmap is + * extremely sparse, this is also O(m + m/W + m/W^2 + ...), so the amortized + * cost of advancing from one bit to the next is usually constant (worst case + * O(logB n) as in the non-amortized complexity). + */ + +struct HBitmap { +    /* Number of total bits in the bottom level.  */ +    uint64_t size; + +    /* Number of set bits in the bottom level.  */ +    uint64_t count; + +    /* A scaling factor.  Given a granularity of G, each bit in the bitmap will +     * will actually represent a group of 2^G elements.  Each operation on a +     * range of bits first rounds the bits to determine which group they land +     * in, and then affect the entire page; iteration will only visit the first +     * bit of each group.  Here is an example of operations in a size-16, +     * granularity-1 HBitmap: +     * +     *    initial state            00000000 +     *    set(start=0, count=9)    11111000 (iter: 0, 2, 4, 6, 8) +     *    reset(start=1, count=3)  00111000 (iter: 4, 6, 8) +     *    set(start=9, count=2)    00111100 (iter: 4, 6, 8, 10) +     *    reset(start=5, count=5)  00000000 +     * +     * From an implementation point of view, when setting or resetting bits, +     * the bitmap will scale bit numbers right by this amount of bits.  When +     * iterating, the bitmap will scale bit numbers left by this amount of +     * bits. +     */ +    int granularity; + +    /* A number of progressively less coarse bitmaps (i.e. level 0 is the +     * coarsest).  Each bit in level N represents a word in level N+1 that +     * has a set bit, except the last level where each bit represents the +     * actual bitmap. +     * +     * Note that all bitmaps have the same number of levels.  Even a 1-bit +     * bitmap will still allocate HBITMAP_LEVELS arrays. +     */ +    unsigned long *levels[HBITMAP_LEVELS]; +}; + +static inline int popcountl(unsigned long l) +{ +    return BITS_PER_LONG == 32 ? ctpop32(l) : ctpop64(l); +} + +/* Advance hbi to the next nonzero word and return it.  hbi->pos + * is updated.  Returns zero if we reach the end of the bitmap. + */ +unsigned long hbitmap_iter_skip_words(HBitmapIter *hbi) +{ +    size_t pos = hbi->pos; +    const HBitmap *hb = hbi->hb; +    unsigned i = HBITMAP_LEVELS - 1; + +    unsigned long cur; +    do { +        cur = hbi->cur[--i]; +        pos >>= BITS_PER_LEVEL; +    } while (cur == 0); + +    /* Check for end of iteration.  We always use fewer than BITS_PER_LONG +     * bits in the level 0 bitmap; thus we can repurpose the most significant +     * bit as a sentinel.  The sentinel is set in hbitmap_alloc and ensures +     * that the above loop ends even without an explicit check on i. +     */ + +    if (i == 0 && cur == (1UL << (BITS_PER_LONG - 1))) { +        return 0; +    } +    for (; i < HBITMAP_LEVELS - 1; i++) { +        /* Shift back pos to the left, matching the right shifts above. +         * The index of this word's least significant set bit provides +         * the low-order bits. +         */ +        assert(cur); +        pos = (pos << BITS_PER_LEVEL) + ctzl(cur); +        hbi->cur[i] = cur & (cur - 1); + +        /* Set up next level for iteration.  */ +        cur = hb->levels[i + 1][pos]; +    } + +    hbi->pos = pos; +    trace_hbitmap_iter_skip_words(hbi->hb, hbi, pos, cur); + +    assert(cur); +    return cur; +} + +void hbitmap_iter_init(HBitmapIter *hbi, const HBitmap *hb, uint64_t first) +{ +    unsigned i, bit; +    uint64_t pos; + +    hbi->hb = hb; +    pos = first >> hb->granularity; +    assert(pos < hb->size); +    hbi->pos = pos >> BITS_PER_LEVEL; +    hbi->granularity = hb->granularity; + +    for (i = HBITMAP_LEVELS; i-- > 0; ) { +        bit = pos & (BITS_PER_LONG - 1); +        pos >>= BITS_PER_LEVEL; + +        /* Drop bits representing items before first.  */ +        hbi->cur[i] = hb->levels[i][pos] & ~((1UL << bit) - 1); + +        /* We have already added level i+1, so the lowest set bit has +         * been processed.  Clear it. +         */ +        if (i != HBITMAP_LEVELS - 1) { +            hbi->cur[i] &= ~(1UL << bit); +        } +    } +} + +bool hbitmap_empty(const HBitmap *hb) +{ +    return hb->count == 0; +} + +int hbitmap_granularity(const HBitmap *hb) +{ +    return hb->granularity; +} + +uint64_t hbitmap_count(const HBitmap *hb) +{ +    return hb->count << hb->granularity; +} + +/* Count the number of set bits between start and end, not accounting for + * the granularity.  Also an example of how to use hbitmap_iter_next_word. + */ +static uint64_t hb_count_between(HBitmap *hb, uint64_t start, uint64_t last) +{ +    HBitmapIter hbi; +    uint64_t count = 0; +    uint64_t end = last + 1; +    unsigned long cur; +    size_t pos; + +    hbitmap_iter_init(&hbi, hb, start << hb->granularity); +    for (;;) { +        pos = hbitmap_iter_next_word(&hbi, &cur); +        if (pos >= (end >> BITS_PER_LEVEL)) { +            break; +        } +        count += popcountl(cur); +    } + +    if (pos == (end >> BITS_PER_LEVEL)) { +        /* Drop bits representing the END-th and subsequent items.  */ +        int bit = end & (BITS_PER_LONG - 1); +        cur &= (1UL << bit) - 1; +        count += popcountl(cur); +    } + +    return count; +} + +/* Setting starts at the last layer and propagates up if an element + * changes from zero to non-zero. + */ +static inline bool hb_set_elem(unsigned long *elem, uint64_t start, uint64_t last) +{ +    unsigned long mask; +    bool changed; + +    assert((last >> BITS_PER_LEVEL) == (start >> BITS_PER_LEVEL)); +    assert(start <= last); + +    mask = 2UL << (last & (BITS_PER_LONG - 1)); +    mask -= 1UL << (start & (BITS_PER_LONG - 1)); +    changed = (*elem == 0); +    *elem |= mask; +    return changed; +} + +/* The recursive workhorse (the depth is limited to HBITMAP_LEVELS)... */ +static void hb_set_between(HBitmap *hb, int level, uint64_t start, uint64_t last) +{ +    size_t pos = start >> BITS_PER_LEVEL; +    size_t lastpos = last >> BITS_PER_LEVEL; +    bool changed = false; +    size_t i; + +    i = pos; +    if (i < lastpos) { +        uint64_t next = (start | (BITS_PER_LONG - 1)) + 1; +        changed |= hb_set_elem(&hb->levels[level][i], start, next - 1); +        for (;;) { +            start = next; +            next += BITS_PER_LONG; +            if (++i == lastpos) { +                break; +            } +            changed |= (hb->levels[level][i] == 0); +            hb->levels[level][i] = ~0UL; +        } +    } +    changed |= hb_set_elem(&hb->levels[level][i], start, last); + +    /* If there was any change in this layer, we may have to update +     * the one above. +     */ +    if (level > 0 && changed) { +        hb_set_between(hb, level - 1, pos, lastpos); +    } +} + +void hbitmap_set(HBitmap *hb, uint64_t start, uint64_t count) +{ +    /* Compute range in the last layer.  */ +    uint64_t last = start + count - 1; + +    trace_hbitmap_set(hb, start, count, +                      start >> hb->granularity, last >> hb->granularity); + +    start >>= hb->granularity; +    last >>= hb->granularity; +    count = last - start + 1; + +    hb->count += count - hb_count_between(hb, start, last); +    hb_set_between(hb, HBITMAP_LEVELS - 1, start, last); +} + +/* Resetting works the other way round: propagate up if the new + * value is zero. + */ +static inline bool hb_reset_elem(unsigned long *elem, uint64_t start, uint64_t last) +{ +    unsigned long mask; +    bool blanked; + +    assert((last >> BITS_PER_LEVEL) == (start >> BITS_PER_LEVEL)); +    assert(start <= last); + +    mask = 2UL << (last & (BITS_PER_LONG - 1)); +    mask -= 1UL << (start & (BITS_PER_LONG - 1)); +    blanked = *elem != 0 && ((*elem & ~mask) == 0); +    *elem &= ~mask; +    return blanked; +} + +/* The recursive workhorse (the depth is limited to HBITMAP_LEVELS)... */ +static void hb_reset_between(HBitmap *hb, int level, uint64_t start, uint64_t last) +{ +    size_t pos = start >> BITS_PER_LEVEL; +    size_t lastpos = last >> BITS_PER_LEVEL; +    bool changed = false; +    size_t i; + +    i = pos; +    if (i < lastpos) { +        uint64_t next = (start | (BITS_PER_LONG - 1)) + 1; + +        /* Here we need a more complex test than when setting bits.  Even if +         * something was changed, we must not blank bits in the upper level +         * unless the lower-level word became entirely zero.  So, remove pos +         * from the upper-level range if bits remain set. +         */ +        if (hb_reset_elem(&hb->levels[level][i], start, next - 1)) { +            changed = true; +        } else { +            pos++; +        } + +        for (;;) { +            start = next; +            next += BITS_PER_LONG; +            if (++i == lastpos) { +                break; +            } +            changed |= (hb->levels[level][i] != 0); +            hb->levels[level][i] = 0UL; +        } +    } + +    /* Same as above, this time for lastpos.  */ +    if (hb_reset_elem(&hb->levels[level][i], start, last)) { +        changed = true; +    } else { +        lastpos--; +    } + +    if (level > 0 && changed) { +        hb_reset_between(hb, level - 1, pos, lastpos); +    } +} + +void hbitmap_reset(HBitmap *hb, uint64_t start, uint64_t count) +{ +    /* Compute range in the last layer.  */ +    uint64_t last = start + count - 1; + +    trace_hbitmap_reset(hb, start, count, +                        start >> hb->granularity, last >> hb->granularity); + +    start >>= hb->granularity; +    last >>= hb->granularity; + +    hb->count -= hb_count_between(hb, start, last); +    hb_reset_between(hb, HBITMAP_LEVELS - 1, start, last); +} + +bool hbitmap_get(const HBitmap *hb, uint64_t item) +{ +    /* Compute position and bit in the last layer.  */ +    uint64_t pos = item >> hb->granularity; +    unsigned long bit = 1UL << (pos & (BITS_PER_LONG - 1)); + +    return (hb->levels[HBITMAP_LEVELS - 1][pos >> BITS_PER_LEVEL] & bit) != 0; +} + +void hbitmap_free(HBitmap *hb) +{ +    unsigned i; +    for (i = HBITMAP_LEVELS; i-- > 0; ) { +        g_free(hb->levels[i]); +    } +    g_free(hb); +} + +HBitmap *hbitmap_alloc(uint64_t size, int granularity) +{ +    HBitmap *hb = g_malloc0(sizeof (struct HBitmap)); +    unsigned i; + +    assert(granularity >= 0 && granularity < 64); +    size = (size + (1ULL << granularity) - 1) >> granularity; +    assert(size <= ((uint64_t)1 << HBITMAP_LOG_MAX_SIZE)); + +    hb->size = size; +    hb->granularity = granularity; +    for (i = HBITMAP_LEVELS; i-- > 0; ) { +        size = MAX((size + BITS_PER_LONG - 1) >> BITS_PER_LEVEL, 1); +        hb->levels[i] = g_malloc0(size * sizeof(unsigned long)); +    } + +    /* We necessarily have free bits in level 0 due to the definition +     * of HBITMAP_LEVELS, so use one for a sentinel.  This speeds up +     * hbitmap_iter_skip_words. +     */ +    assert(size == 1); +    hb->levels[0][0] |= 1UL << (BITS_PER_LONG - 1); +    return hb; +}  | 
