#ifndef JEMALLOC_INTERNAL_FB_H #define JEMALLOC_INTERNAL_FB_H /* * The flat bitmap module. This has a larger API relative to the bitmap module * (supporting things like backwards searches, and searching for both set and * unset bits), at the cost of slower operations for very large bitmaps. * * Initialized flat bitmaps start at all-zeros (all bits unset). */ typedef unsigned long fb_group_t; #define FB_GROUP_BITS (ZU(1) << (LG_SIZEOF_LONG + 3)) #define FB_NGROUPS(nbits) ((nbits) / FB_GROUP_BITS \ + ((nbits) % FB_GROUP_BITS == 0 ? 0 : 1)) static inline void fb_init(fb_group_t *fb, size_t nbits) { size_t ngroups = FB_NGROUPS(nbits); memset(fb, 0, ngroups * sizeof(fb_group_t)); } static inline bool fb_empty(fb_group_t *fb, size_t nbits) { size_t ngroups = FB_NGROUPS(nbits); for (size_t i = 0; i < ngroups; i++) { if (fb[i] != 0) { return false; } } return true; } static inline bool fb_full(fb_group_t *fb, size_t nbits) { size_t ngroups = FB_NGROUPS(nbits); size_t trailing_bits = nbits % FB_GROUP_BITS; size_t limit = (trailing_bits == 0 ? ngroups : ngroups - 1); for (size_t i = 0; i < limit; i++) { if (fb[i] != ~(fb_group_t)0) { return false; } } if (trailing_bits == 0) { return true; } return fb[ngroups - 1] == ((fb_group_t)1 << trailing_bits) - 1; } static inline bool fb_get(fb_group_t *fb, size_t nbits, size_t bit) { assert(bit < nbits); size_t group_ind = bit / FB_GROUP_BITS; size_t bit_ind = bit % FB_GROUP_BITS; return (bool)(fb[group_ind] & ((fb_group_t)1 << bit_ind)); } static inline void fb_set(fb_group_t *fb, size_t nbits, size_t bit) { assert(bit < nbits); size_t group_ind = bit / FB_GROUP_BITS; size_t bit_ind = bit % FB_GROUP_BITS; fb[group_ind] |= ((fb_group_t)1 << bit_ind); } static inline void fb_unset(fb_group_t *fb, size_t nbits, size_t bit) { assert(bit < nbits); size_t group_ind = bit / FB_GROUP_BITS; size_t bit_ind = bit % FB_GROUP_BITS; fb[group_ind] &= ~((fb_group_t)1 << bit_ind); } /* * Some implementation details. This visitation function lets us apply a group * visitor to each group in the bitmap (potentially modifying it). The mask * indicates which bits are logically part of the visitation. */ typedef void (*fb_group_visitor_t)(void *ctx, fb_group_t *fb, fb_group_t mask); JEMALLOC_ALWAYS_INLINE void fb_visit_impl(fb_group_t *fb, size_t nbits, fb_group_visitor_t visit, void *ctx, size_t start, size_t cnt) { assert(cnt > 0); assert(start + cnt <= nbits); size_t group_ind = start / FB_GROUP_BITS; size_t start_bit_ind = start % FB_GROUP_BITS; /* * The first group is special; it's the only one we don't start writing * to from bit 0. */ size_t first_group_cnt = (start_bit_ind + cnt > FB_GROUP_BITS ? FB_GROUP_BITS - start_bit_ind : cnt); /* * We can basically split affected words into: * - The first group, where we touch only the high bits * - The last group, where we touch only the low bits * - The middle, where we set all the bits to the same thing. * We treat each case individually. The last two could be merged, but * this can lead to bad codegen for those middle words. */ /* First group */ fb_group_t mask = ((~(fb_group_t)0) >> (FB_GROUP_BITS - first_group_cnt)) << start_bit_ind; visit(ctx, &fb[group_ind], mask); cnt -= first_group_cnt; group_ind++; /* Middle groups */ while (cnt > FB_GROUP_BITS) { visit(ctx, &fb[group_ind], ~(fb_group_t)0); cnt -= FB_GROUP_BITS; group_ind++; } /* Last group */ if (cnt != 0) { mask = (~(fb_group_t)0) >> (FB_GROUP_BITS - cnt); visit(ctx, &fb[group_ind], mask); } } JEMALLOC_ALWAYS_INLINE void fb_assign_visitor(void *ctx, fb_group_t *fb, fb_group_t mask) { bool val = *(bool *)ctx; if (val) { *fb |= mask; } else { *fb &= ~mask; } } /* Sets the cnt bits starting at position start. Must not have a 0 count. */ static inline void fb_set_range(fb_group_t *fb, size_t nbits, size_t start, size_t cnt) { bool val = true; fb_visit_impl(fb, nbits, &fb_assign_visitor, &val, start, cnt); } /* Unsets the cnt bits starting at position start. Must not have a 0 count. */ static inline void fb_unset_range(fb_group_t *fb, size_t nbits, size_t start, size_t cnt) { bool val = false; fb_visit_impl(fb, nbits, &fb_assign_visitor, &val, start, cnt); } JEMALLOC_ALWAYS_INLINE void fb_scount_visitor(void *ctx, fb_group_t *fb, fb_group_t mask) { size_t *scount = (size_t *)ctx; *scount += popcount_lu(*fb & mask); } /* Finds the number of set bit in the of length cnt starting at start. */ JEMALLOC_ALWAYS_INLINE size_t fb_scount(fb_group_t *fb, size_t nbits, size_t start, size_t cnt) { size_t scount = 0; fb_visit_impl(fb, nbits, &fb_scount_visitor, &scount, start, cnt); return scount; } /* Finds the number of unset bit in the of length cnt starting at start. */ JEMALLOC_ALWAYS_INLINE size_t fb_ucount(fb_group_t *fb, size_t nbits, size_t start, size_t cnt) { size_t scount = fb_scount(fb, nbits, start, cnt); return cnt - scount; } /* * An implementation detail; find the first bit at position >= min_bit with the * value val. * * Returns the number of bits in the bitmap if no such bit exists. */ JEMALLOC_ALWAYS_INLINE ssize_t fb_find_impl(fb_group_t *fb, size_t nbits, size_t start, bool val, bool forward) { assert(start < nbits); size_t ngroups = FB_NGROUPS(nbits); ssize_t group_ind = start / FB_GROUP_BITS; size_t bit_ind = start % FB_GROUP_BITS; fb_group_t maybe_invert = (val ? 0 : (fb_group_t)-1); fb_group_t group = fb[group_ind]; group ^= maybe_invert; if (forward) { /* Only keep ones in bits bit_ind and above. */ group &= ~((1LU << bit_ind) - 1); } else { /* * Only keep ones in bits bit_ind and below. You might more * naturally express this as (1 << (bit_ind + 1)) - 1, but * that shifts by an invalid amount if bit_ind is one less than * FB_GROUP_BITS. */ group &= ((2LU << bit_ind) - 1); } ssize_t group_ind_bound = forward ? (ssize_t)ngroups : -1; while (group == 0) { group_ind += forward ? 1 : -1; if (group_ind == group_ind_bound) { return forward ? (ssize_t)nbits : (ssize_t)-1; } group = fb[group_ind]; group ^= maybe_invert; } assert(group != 0); size_t bit = forward ? ffs_lu(group) : fls_lu(group); size_t pos = group_ind * FB_GROUP_BITS + bit; /* * The high bits of a partially filled last group are zeros, so if we're * looking for zeros we don't want to report an invalid result. */ if (forward && !val && pos > nbits) { return nbits; } return pos; } /* * Find the first set bit in the bitmap with an index >= min_bit. Returns the * number of bits in the bitmap if no such bit exists. */ static inline size_t fb_ffu(fb_group_t *fb, size_t nbits, size_t min_bit) { return (size_t)fb_find_impl(fb, nbits, min_bit, /* val */ false, /* forward */ true); } /* The same, but looks for an unset bit. */ static inline size_t fb_ffs(fb_group_t *fb, size_t nbits, size_t min_bit) { return (size_t)fb_find_impl(fb, nbits, min_bit, /* val */ true, /* forward */ true); } /* * Find the last set bit in the bitmap with an index <= max_bit. Returns -1 if * no such bit exists. */ static inline ssize_t fb_flu(fb_group_t *fb, size_t nbits, size_t max_bit) { return fb_find_impl(fb, nbits, max_bit, /* val */ false, /* forward */ false); } static inline ssize_t fb_fls(fb_group_t *fb, size_t nbits, size_t max_bit) { return fb_find_impl(fb, nbits, max_bit, /* val */ true, /* forward */ false); } /* Returns whether or not we found a range. */ JEMALLOC_ALWAYS_INLINE bool fb_iter_range_impl(fb_group_t *fb, size_t nbits, size_t start, size_t *r_begin, size_t *r_len, bool val, bool forward) { assert(start < nbits); ssize_t next_range_begin = fb_find_impl(fb, nbits, start, val, forward); if ((forward && next_range_begin == (ssize_t)nbits) || (!forward && next_range_begin == (ssize_t)-1)) { return false; } /* Half open range; the set bits are [begin, end). */ ssize_t next_range_end = fb_find_impl(fb, nbits, next_range_begin, !val, forward); if (forward) { *r_begin = next_range_begin; *r_len = next_range_end - next_range_begin; } else { *r_begin = next_range_end + 1; *r_len = next_range_begin - next_range_end; } return true; } /* * Used to iterate through ranges of set bits. * * Tries to find the next contiguous sequence of set bits with a first index >= * start. If one exists, puts the earliest bit of the range in *r_begin, its * length in *r_len, and returns true. Otherwise, returns false (without * touching *r_begin or *r_end). */ static inline bool fb_srange_iter(fb_group_t *fb, size_t nbits, size_t start, size_t *r_begin, size_t *r_len) { return fb_iter_range_impl(fb, nbits, start, r_begin, r_len, /* val */ true, /* forward */ true); } /* * The same as fb_srange_iter, but searches backwards from start rather than * forwards. (The position returned is still the earliest bit in the range). */ static inline bool fb_srange_riter(fb_group_t *fb, size_t nbits, size_t start, size_t *r_begin, size_t *r_len) { return fb_iter_range_impl(fb, nbits, start, r_begin, r_len, /* val */ true, /* forward */ false); } /* Similar to fb_srange_iter, but searches for unset bits. */ static inline bool fb_urange_iter(fb_group_t *fb, size_t nbits, size_t start, size_t *r_begin, size_t *r_len) { return fb_iter_range_impl(fb, nbits, start, r_begin, r_len, /* val */ false, /* forward */ true); } /* Similar to fb_srange_riter, but searches for unset bits. */ static inline bool fb_urange_riter(fb_group_t *fb, size_t nbits, size_t start, size_t *r_begin, size_t *r_len) { return fb_iter_range_impl(fb, nbits, start, r_begin, r_len, /* val */ false, /* forward */ false); } JEMALLOC_ALWAYS_INLINE size_t fb_range_longest_impl(fb_group_t *fb, size_t nbits, bool val) { size_t begin = 0; size_t longest_len = 0; size_t len = 0; while (begin < nbits && fb_iter_range_impl(fb, nbits, begin, &begin, &len, val, /* forward */ true)) { if (len > longest_len) { longest_len = len; } begin += len; } return longest_len; } static inline size_t fb_srange_longest(fb_group_t *fb, size_t nbits) { return fb_range_longest_impl(fb, nbits, /* val */ true); } static inline size_t fb_urange_longest(fb_group_t *fb, size_t nbits) { return fb_range_longest_impl(fb, nbits, /* val */ false); } /* * Initializes each bit of dst with the bitwise-AND of the corresponding bits of * src1 and src2. All bitmaps must be the same size. */ static inline void fb_bit_and(fb_group_t *dst, fb_group_t *src1, fb_group_t *src2, size_t nbits) { size_t ngroups = FB_NGROUPS(nbits); for (size_t i = 0; i < ngroups; i++) { dst[i] = src1[i] & src2[i]; } } /* Like fb_bit_and, but with bitwise-OR. */ static inline void fb_bit_or(fb_group_t *dst, fb_group_t *src1, fb_group_t *src2, size_t nbits) { size_t ngroups = FB_NGROUPS(nbits); for (size_t i = 0; i < ngroups; i++) { dst[i] = src1[i] | src2[i]; } } /* Initializes dst bit i to the negation of source bit i. */ static inline void fb_bit_not(fb_group_t *dst, fb_group_t *src, size_t nbits) { size_t ngroups = FB_NGROUPS(nbits); for (size_t i = 0; i < ngroups; i++) { dst[i] = ~src[i]; } } #endif /* JEMALLOC_INTERNAL_FB_H */