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