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-/*
- * hc_matchfinder.h - Lempel-Ziv matchfinding with a hash table of linked lists
- *
- * Originally public domain; changes after 2016-09-07 are copyrighted.
- *
- * Copyright 2016 Eric Biggers
- *
- * Permission is hereby granted, free of charge, to any person
- * obtaining a copy of this software and associated documentation
- * files (the "Software"), to deal in the Software without
- * restriction, including without limitation the rights to use,
- * copy, modify, merge, publish, distribute, sublicense, and/or sell
- * copies of the Software, and to permit persons to whom the
- * Software is furnished to do so, subject to the following
- * conditions:
- *
- * The above copyright notice and this permission notice shall be
- * included in all copies or substantial portions of the Software.
- *
- * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
- * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
- * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
- * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
- * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
- * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
- * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
- * OTHER DEALINGS IN THE SOFTWARE.
- *
- * ---------------------------------------------------------------------------
- *
- * Algorithm
- *
- * This is a Hash Chains (hc) based matchfinder.
- *
- * The main data structure is a hash table where each hash bucket contains a
- * linked list (or "chain") of sequences whose first 4 bytes share the same hash
- * code. Each sequence is identified by its starting position in the input
- * buffer.
- *
- * The algorithm processes the input buffer sequentially. At each byte
- * position, the hash code of the first 4 bytes of the sequence beginning at
- * that position (the sequence being matched against) is computed. This
- * identifies the hash bucket to use for that position. Then, this hash
- * bucket's linked list is searched for matches. Then, a new linked list node
- * is created to represent the current sequence and is prepended to the list.
- *
- * This algorithm has several useful properties:
- *
- * - It only finds true Lempel-Ziv matches; i.e., those where the matching
- * sequence occurs prior to the sequence being matched against.
- *
- * - The sequences in each linked list are always sorted by decreasing starting
- * position. Therefore, the closest (smallest offset) matches are found
- * first, which in many compression formats tend to be the cheapest to encode.
- *
- * - Although fast running time is not guaranteed due to the possibility of the
- * lists getting very long, the worst degenerate behavior can be easily
- * prevented by capping the number of nodes searched at each position.
- *
- * - If the compressor decides not to search for matches at a certain position,
- * then that position can be quickly inserted without searching the list.
- *
- * - The algorithm is adaptable to sliding windows: just store the positions
- * relative to a "base" value that is updated from time to time, and stop
- * searching each list when the sequences get too far away.
- *
- * ----------------------------------------------------------------------------
- *
- * Optimizations
- *
- * The main hash table and chains handle length 4+ matches. Length 3 matches
- * are handled by a separate hash table with no chains. This works well for
- * typical "greedy" or "lazy"-style compressors, where length 3 matches are
- * often only helpful if they have small offsets. Instead of searching a full
- * chain for length 3+ matches, the algorithm just checks for one close length 3
- * match, then focuses on finding length 4+ matches.
- *
- * The longest_match() and skip_positions() functions are inlined into the
- * compressors that use them. This isn't just about saving the overhead of a
- * function call. These functions are intended to be called from the inner
- * loops of compressors, where giving the compiler more control over register
- * allocation is very helpful. There is also significant benefit to be gained
- * from allowing the CPU to predict branches independently at each call site.
- * For example, "lazy"-style compressors can be written with two calls to
- * longest_match(), each of which starts with a different 'best_len' and
- * therefore has significantly different performance characteristics.
- *
- * Although any hash function can be used, a multiplicative hash is fast and
- * works well.
- *
- * On some processors, it is significantly faster to extend matches by whole
- * words (32 or 64 bits) instead of by individual bytes. For this to be the
- * case, the processor must implement unaligned memory accesses efficiently and
- * must have either a fast "find first set bit" instruction or a fast "find last
- * set bit" instruction, depending on the processor's endianness.
- *
- * The code uses one loop for finding the first match and one loop for finding a
- * longer match. Each of these loops is tuned for its respective task and in
- * combination are faster than a single generalized loop that handles both
- * tasks.
- *
- * The code also uses a tight inner loop that only compares the last and first
- * bytes of a potential match. It is only when these bytes match that a full
- * match extension is attempted.
- *
- * ----------------------------------------------------------------------------
- */
-
-#ifndef LIB_HC_MATCHFINDER_H
-#define LIB_HC_MATCHFINDER_H
-
-#include "matchfinder_common.h"
-
-#define HC_MATCHFINDER_HASH3_ORDER 15
-#define HC_MATCHFINDER_HASH4_ORDER 16
-
-#define HC_MATCHFINDER_TOTAL_HASH_SIZE \
- (((1UL << HC_MATCHFINDER_HASH3_ORDER) + \
- (1UL << HC_MATCHFINDER_HASH4_ORDER)) * sizeof(mf_pos_t))
-
-struct hc_matchfinder {
-
- /* The hash table for finding length 3 matches */
- mf_pos_t hash3_tab[1UL << HC_MATCHFINDER_HASH3_ORDER];
-
- /* The hash table which contains the first nodes of the linked lists for
- * finding length 4+ matches */
- mf_pos_t hash4_tab[1UL << HC_MATCHFINDER_HASH4_ORDER];
-
- /* The "next node" references for the linked lists. The "next node" of
- * the node for the sequence with position 'pos' is 'next_tab[pos]'. */
- mf_pos_t next_tab[MATCHFINDER_WINDOW_SIZE];
-
-}
-#ifdef _aligned_attribute
- _aligned_attribute(MATCHFINDER_MEM_ALIGNMENT)
-#endif
-;
-
-/* Prepare the matchfinder for a new input buffer. */
-static forceinline void
-hc_matchfinder_init(struct hc_matchfinder *mf)
-{
- STATIC_ASSERT(HC_MATCHFINDER_TOTAL_HASH_SIZE %
- MATCHFINDER_SIZE_ALIGNMENT == 0);
-
- matchfinder_init((mf_pos_t *)mf, HC_MATCHFINDER_TOTAL_HASH_SIZE);
-}
-
-static forceinline void
-hc_matchfinder_slide_window(struct hc_matchfinder *mf)
-{
- STATIC_ASSERT(sizeof(*mf) % MATCHFINDER_SIZE_ALIGNMENT == 0);
-
- matchfinder_rebase((mf_pos_t *)mf, sizeof(*mf));
-}
-
-/*
- * Find the longest match longer than 'best_len' bytes.
- *
- * @mf
- * The matchfinder structure.
- * @in_base_p
- * Location of a pointer which points to the place in the input data the
- * matchfinder currently stores positions relative to. This may be updated
- * by this function.
- * @cur_pos
- * The current position in the input buffer relative to @in_base (the
- * position of the sequence being matched against).
- * @best_len
- * Require a match longer than this length.
- * @max_len
- * The maximum permissible match length at this position.
- * @nice_len
- * Stop searching if a match of at least this length is found.
- * Must be <= @max_len.
- * @max_search_depth
- * Limit on the number of potential matches to consider. Must be >= 1.
- * @next_hashes
- * The precomputed hash codes for the sequence beginning at @in_next.
- * These will be used and then updated with the precomputed hashcodes for
- * the sequence beginning at @in_next + 1.
- * @offset_ret
- * If a match is found, its offset is returned in this location.
- *
- * Return the length of the match found, or 'best_len' if no match longer than
- * 'best_len' was found.
- */
-static forceinline u32
-hc_matchfinder_longest_match(struct hc_matchfinder * const restrict mf,
- const u8 ** const restrict in_base_p,
- const u8 * const restrict in_next,
- u32 best_len,
- const u32 max_len,
- const u32 nice_len,
- const u32 max_search_depth,
- u32 * const restrict next_hashes,
- u32 * const restrict offset_ret)
-{
- u32 depth_remaining = max_search_depth;
- const u8 *best_matchptr = in_next;
- mf_pos_t cur_node3, cur_node4;
- u32 hash3, hash4;
- u32 next_hashseq;
- u32 seq4;
- const u8 *matchptr;
- u32 len;
- u32 cur_pos = in_next - *in_base_p;
- const u8 *in_base;
- mf_pos_t cutoff;
-
- if (cur_pos == MATCHFINDER_WINDOW_SIZE) {
- hc_matchfinder_slide_window(mf);
- *in_base_p += MATCHFINDER_WINDOW_SIZE;
- cur_pos = 0;
- }
-
- in_base = *in_base_p;
- cutoff = cur_pos - MATCHFINDER_WINDOW_SIZE;
-
- if (unlikely(max_len < 5)) /* can we read 4 bytes from 'in_next + 1'? */
- goto out;
-
- /* Get the precomputed hash codes. */
- hash3 = next_hashes[0];
- hash4 = next_hashes[1];
-
- /* From the hash buckets, get the first node of each linked list. */
- cur_node3 = mf->hash3_tab[hash3];
- cur_node4 = mf->hash4_tab[hash4];
-
- /* Update for length 3 matches. This replaces the singleton node in the
- * 'hash3' bucket with the node for the current sequence. */
- mf->hash3_tab[hash3] = cur_pos;
-
- /* Update for length 4 matches. This prepends the node for the current
- * sequence to the linked list in the 'hash4' bucket. */
- mf->hash4_tab[hash4] = cur_pos;
- mf->next_tab[cur_pos] = cur_node4;
-
- /* Compute the next hash codes. */
- next_hashseq = get_unaligned_le32(in_next + 1);
- next_hashes[0] = lz_hash(next_hashseq & 0xFFFFFF, HC_MATCHFINDER_HASH3_ORDER);
- next_hashes[1] = lz_hash(next_hashseq, HC_MATCHFINDER_HASH4_ORDER);
- prefetchw(&mf->hash3_tab[next_hashes[0]]);
- prefetchw(&mf->hash4_tab[next_hashes[1]]);
-
- if (best_len < 4) { /* No match of length >= 4 found yet? */
-
- /* Check for a length 3 match if needed. */
-
- if (cur_node3 <= cutoff)
- goto out;
-
- seq4 = load_u32_unaligned(in_next);
-
- if (best_len < 3) {
- matchptr = &in_base[cur_node3];
- if (load_u24_unaligned(matchptr) == loaded_u32_to_u24(seq4)) {
- best_len = 3;
- best_matchptr = matchptr;
- }
- }
-
- /* Check for a length 4 match. */
-
- if (cur_node4 <= cutoff)
- goto out;
-
- for (;;) {
- /* No length 4 match found yet. Check the first 4 bytes. */
- matchptr = &in_base[cur_node4];
-
- if (load_u32_unaligned(matchptr) == seq4)
- break;
-
- /* The first 4 bytes did not match. Keep trying. */
- cur_node4 = mf->next_tab[cur_node4 & (MATCHFINDER_WINDOW_SIZE - 1)];
- if (cur_node4 <= cutoff || !--depth_remaining)
- goto out;
- }
-
- /* Found a match of length >= 4. Extend it to its full length. */
- best_matchptr = matchptr;
- best_len = lz_extend(in_next, best_matchptr, 4, max_len);
- if (best_len >= nice_len)
- goto out;
- cur_node4 = mf->next_tab[cur_node4 & (MATCHFINDER_WINDOW_SIZE - 1)];
- if (cur_node4 <= cutoff || !--depth_remaining)
- goto out;
- } else {
- if (cur_node4 <= cutoff || best_len >= nice_len)
- goto out;
- }
-
- /* Check for matches of length >= 5. */
-
- for (;;) {
- for (;;) {
- matchptr = &in_base[cur_node4];
-
- /* Already found a length 4 match. Try for a longer
- * match; start by checking either the last 4 bytes and
- * the first 4 bytes, or the last byte. (The last byte,
- * the one which would extend the match length by 1, is
- * the most important.) */
- #if UNALIGNED_ACCESS_IS_FAST
- if ((load_u32_unaligned(matchptr + best_len - 3) ==
- load_u32_unaligned(in_next + best_len - 3)) &&
- (load_u32_unaligned(matchptr) ==
- load_u32_unaligned(in_next)))
- #else
- if (matchptr[best_len] == in_next[best_len])
- #endif
- break;
-
- /* Continue to the next node in the list. */
- cur_node4 = mf->next_tab[cur_node4 & (MATCHFINDER_WINDOW_SIZE - 1)];
- if (cur_node4 <= cutoff || !--depth_remaining)
- goto out;
- }
-
- #if UNALIGNED_ACCESS_IS_FAST
- len = 4;
- #else
- len = 0;
- #endif
- len = lz_extend(in_next, matchptr, len, max_len);
- if (len > best_len) {
- /* This is the new longest match. */
- best_len = len;
- best_matchptr = matchptr;
- if (best_len >= nice_len)
- goto out;
- }
-
- /* Continue to the next node in the list. */
- cur_node4 = mf->next_tab[cur_node4 & (MATCHFINDER_WINDOW_SIZE - 1)];
- if (cur_node4 <= cutoff || !--depth_remaining)
- goto out;
- }
-out:
- *offset_ret = in_next - best_matchptr;
- return best_len;
-}
-
-/*
- * Advance the matchfinder, but don't search for matches.
- *
- * @mf
- * The matchfinder structure.
- * @in_base_p
- * Location of a pointer which points to the place in the input data the
- * matchfinder currently stores positions relative to. This may be updated
- * by this function.
- * @cur_pos
- * The current position in the input buffer relative to @in_base.
- * @end_pos
- * The end position of the input buffer, relative to @in_base.
- * @next_hashes
- * The precomputed hash codes for the sequence beginning at @in_next.
- * These will be used and then updated with the precomputed hashcodes for
- * the sequence beginning at @in_next + @count.
- * @count
- * The number of bytes to advance. Must be > 0.
- *
- * Returns @in_next + @count.
- */
-static forceinline const u8 *
-hc_matchfinder_skip_positions(struct hc_matchfinder * const restrict mf,
- const u8 ** const restrict in_base_p,
- const u8 *in_next,
- const u8 * const in_end,
- const u32 count,
- u32 * const restrict next_hashes)
-{
- u32 cur_pos;
- u32 hash3, hash4;
- u32 next_hashseq;
- u32 remaining = count;
-
- if (unlikely(count + 5 > in_end - in_next))
- return &in_next[count];
-
- cur_pos = in_next - *in_base_p;
- hash3 = next_hashes[0];
- hash4 = next_hashes[1];
- do {
- if (cur_pos == MATCHFINDER_WINDOW_SIZE) {
- hc_matchfinder_slide_window(mf);
- *in_base_p += MATCHFINDER_WINDOW_SIZE;
- cur_pos = 0;
- }
- mf->hash3_tab[hash3] = cur_pos;
- mf->next_tab[cur_pos] = mf->hash4_tab[hash4];
- mf->hash4_tab[hash4] = cur_pos;
-
- next_hashseq = get_unaligned_le32(++in_next);
- hash3 = lz_hash(next_hashseq & 0xFFFFFF, HC_MATCHFINDER_HASH3_ORDER);
- hash4 = lz_hash(next_hashseq, HC_MATCHFINDER_HASH4_ORDER);
- cur_pos++;
- } while (--remaining);
-
- prefetchw(&mf->hash3_tab[hash3]);
- prefetchw(&mf->hash4_tab[hash4]);
- next_hashes[0] = hash3;
- next_hashes[1] = hash4;
-
- return in_next;
-}
-
-#endif /* LIB_HC_MATCHFINDER_H */