lz_optimal.h: Cleanup, better comments

[wimlib] / src / lzx-compress.c

/*
 * lzx-compress.c
 *
 * LZX compression routines
 */

/*
 * Copyright (C) 2012, 2013 Eric Biggers
 *
 * This file is part of wimlib, a library for working with WIM files.
 *
 * wimlib is free software; you can redistribute it and/or modify it under the
 * terms of the GNU General Public License as published by the Free
 * Software Foundation; either version 3 of the License, or (at your option)
 * any later version.
 *
 * wimlib is distributed in the hope that it will be useful, but WITHOUT ANY
 * WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
 * A PARTICULAR PURPOSE. See the GNU General Public License for more
 * details.
 *
 * You should have received a copy of the GNU General Public License
 * along with wimlib; if not, see http://www.gnu.org/licenses/.
 */


/*
 * This file contains a compressor for the LZX compression format, as used in
 * the WIM file format.
 *
 * Format
 * ======
 *
 * First, the primary reference for the LZX compression format is the
 * specification released by Microsoft.
 *
 * Second, the comments in lzx-decompress.c provide some more information about
 * the LZX compression format, including errors in the Microsoft specification.
 *
 * Do note that LZX shares many similarities with DEFLATE, the algorithm used by
 * zlib and gzip.  Both LZX and DEFLATE use LZ77 matching and Huffman coding,
 * and certain other details are quite similar, such as the method for storing
 * Huffman codes.  However, some of the main differences are:
 *
 * - LZX preprocesses the data to attempt to make x86 machine code slightly more
 *   compressible before attempting to compress it further.
 * - LZX uses a "main" alphabet which combines literals and matches, with the
 *   match symbols containing a "length header" (giving all or part of the match
 *   length) and a "position slot" (giving, roughly speaking, the order of
 *   magnitude of the match offset).
 * - LZX does not have static Huffman blocks; however it does have two types of
 *   dynamic Huffman blocks ("aligned offset" and "verbatim").
 * - LZX has a minimum match length of 2 rather than 3.
 * - In LZX, match offsets 0 through 2 actually represent entries in an LRU
 *   queue of match offsets.  This is very useful for certain types of files,
 *   such as binary files that have repeating records.
 *
 * Algorithms
 * ==========
 *
 * There are actually two distinct overall algorithms implemented here.  We
 * shall refer to them as the "slow" algorithm and the "fast" algorithm.  The
 * "slow" algorithm spends more time compressing to achieve a higher compression
 * ratio compared to the "fast" algorithm.  More details are presented below.
 *
 * Slow algorithm
 * --------------
 *
 * The "slow" algorithm to generate LZX-compressed data is roughly as follows:
 *
 * 1. Preprocess the input data to translate the targets of x86 call
 *    instructions to absolute offsets.
 *
 * 2. Build the suffix array and inverse suffix array for the input data.  The
 *    suffix array contains the indices of all suffixes of the input data,
 *    sorted lexcographically by the corresponding suffixes.  The "position" of
 *    a suffix is the index of that suffix in the original string, whereas the
 *    "rank" of a suffix is the index at which that suffix's position is found
 *    in the suffix array.
 *
 * 3. Build the longest common prefix array corresponding to the suffix array.
 *
 * 4. For each suffix, find the highest lower ranked suffix that has a lower
 *    position, the lowest higher ranked suffix that has a lower position, and
 *    the length of the common prefix shared between each.   This information is
 *    later used to link suffix ranks into a doubly-linked list for searching
 *    the suffix array.
 *
 * 5. Set a default cost model for matches/literals.
 *
 * 6. Determine the lowest cost sequence of LZ77 matches ((offset, length)
 *    pairs) and literal bytes to divide the input into.  Raw match-finding is
 *    done by searching the suffix array using a linked list to avoid
 *    considering any suffixes that start after the current position.  Each run
 *    of the match-finder returns the approximate lowest-cost longest match as
 *    well as any shorter matches that have even lower approximate costs.  Each
 *    such run also adds the suffix rank of the current position into the linked
 *    list being used to search the suffix array.  Parsing, or match-choosing,
 *    is solved as a minimum-cost path problem using a forward "optimal parsing"
 *    algorithm based on the Deflate encoder from 7-Zip.  This algorithm moves
 *    forward calculating the minimum cost to reach each byte until either a
 *    very long match is found or until a position is found at which no matches
 *    start or overlap.
 *
 * 7. Build the Huffman codes needed to output the matches/literals.
 *
 * 8. Up to a certain number of iterations, use the resulting Huffman codes to
 *    refine a cost model and go back to Step #6 to determine an improved
 *    sequence of matches and literals.
 *
 * 9. Output the resulting block using the match/literal sequences and the
 *    Huffman codes that were computed for the block.
 *
 * Note: the algorithm does not yet attempt to split the input into multiple LZX
 * blocks, instead using a series of blocks of LZX_DIV_BLOCK_SIZE bytes.
 *
 * Fast algorithm
 * --------------
 *
 * The fast algorithm (and the only one available in wimlib v1.5.1 and earlier)
 * spends much less time on the main bottlenecks of the compression process ---
 * that is, the match finding and match choosing.  Matches are found and chosen
 * with hash chains using a greedy parse with one position of look-ahead.  No
 * block splitting is done; only compressing the full input into an aligned
 * offset block is considered.
 *
 * Acknowledgments
 * ===============
 *
 * Acknowledgments to several open-source projects and research papers that made
 * it possible to implement this code:
 *
 * - divsufsort (author: Yuta Mori), for the suffix array construction code,
 *   located in a separate directory (divsufsort/).
 *
 * - "Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
 *   Applications" (Kasai et al. 2001), for the LCP array computation.
 *
 * - "LPF computation revisited" (Crochemore et al. 2009) for the prev and next
 *   array computations.
 *
 * - 7-Zip (author: Igor Pavlov) for the algorithm for forward optimal parsing
 *   (match-choosing).
 *
 * - zlib (author: Jean-loup Gailly and Mark Adler), for the hash table
 *   match-finding algorithm (used in lz77.c).
 *
 * - lzx-compress (author: Matthew T. Russotto), on which some parts of this
 *   code were originally based.
 */

#ifdef HAVE_CONFIG_H
#  include "config.h"
#endif

#include "wimlib.h"
#include "wimlib/compressor_ops.h"
#include "wimlib/compress_common.h"
#include "wimlib/endianness.h"
#include "wimlib/error.h"
#include "wimlib/lz_hash.h"
#include "wimlib/lz_sarray.h"
#include "wimlib/lzx.h"
#include "wimlib/util.h"
#include <pthread.h>
#include <math.h>
#include <string.h>

#ifdef ENABLE_LZX_DEBUG
#  include "wimlib/decompress_common.h"
#endif

typedef u32 block_cost_t;
#define INFINITE_BLOCK_COST     (~(block_cost_t)0)

#define LZX_OPTIM_ARRAY_SIZE    4096

#define LZX_DIV_BLOCK_SIZE      32768

#define LZX_MAX_CACHE_PER_POS   10

/* Codewords for the LZX main, length, and aligned offset Huffman codes  */
struct lzx_codewords {
        u16 main[LZX_MAINCODE_MAX_NUM_SYMBOLS];
        u16 len[LZX_LENCODE_NUM_SYMBOLS];
        u16 aligned[LZX_ALIGNEDCODE_NUM_SYMBOLS];
};

/* Codeword lengths (in bits) for the LZX main, length, and aligned offset
 * Huffman codes.
 *
 * A 0 length means the codeword has zero frequency.
 */
struct lzx_lens {
        u8 main[LZX_MAINCODE_MAX_NUM_SYMBOLS];
        u8 len[LZX_LENCODE_NUM_SYMBOLS];
        u8 aligned[LZX_ALIGNEDCODE_NUM_SYMBOLS];
};

/* Costs for the LZX main, length, and aligned offset Huffman symbols.
 *
 * If a codeword has zero frequency, it must still be assigned some nonzero cost
 * --- generally a high cost, since even if it gets used in the next iteration,
 * it probably will not be used very times.  */
struct lzx_costs {
        u8 main[LZX_MAINCODE_MAX_NUM_SYMBOLS];
        u8 len[LZX_LENCODE_NUM_SYMBOLS];
        u8 aligned[LZX_ALIGNEDCODE_NUM_SYMBOLS];
};

/* The LZX main, length, and aligned offset Huffman codes  */
struct lzx_codes {
        struct lzx_codewords codewords;
        struct lzx_lens lens;
};

/* Tables for tallying symbol frequencies in the three LZX alphabets  */
struct lzx_freqs {
        input_idx_t main[LZX_MAINCODE_MAX_NUM_SYMBOLS];
        input_idx_t len[LZX_LENCODE_NUM_SYMBOLS];
        input_idx_t aligned[LZX_ALIGNEDCODE_NUM_SYMBOLS];
};

/* LZX intermediate match/literal format  */
struct lzx_match {
        /* Bit     Description
         *
         * 31      1 if a match, 0 if a literal.
         *
         * 30-25   position slot.  This can be at most 50, so it will fit in 6
         *         bits.
         *
         * 8-24    position footer.  This is the offset of the real formatted
         *         offset from the position base.  This can be at most 17 bits
         *         (since lzx_extra_bits[LZX_MAX_POSITION_SLOTS - 1] is 17).
         *
         * 0-7     length of match, minus 2.  This can be at most
         *         (LZX_MAX_MATCH_LEN - 2) == 255, so it will fit in 8 bits.  */
        u32 data;
};

/* Specification for an LZX block.  */
struct lzx_block_spec {

        /* One of the LZX_BLOCKTYPE_* constants indicating which type of this
         * block.  */
        int block_type;

        /* 0-based position in the window at which this block starts.  */
        input_idx_t window_pos;

        /* The number of bytes of uncompressed data this block represents.  */
        input_idx_t block_size;

        /* The position in the 'chosen_matches' array in the `struct
         * lzx_compressor' at which the match/literal specifications for
         * this block begin.  */
        input_idx_t chosen_matches_start_pos;

        /* The number of match/literal specifications for this block.  */
        input_idx_t num_chosen_matches;

        /* Huffman codes for this block.  */
        struct lzx_codes codes;
};

/* Include template for the match-choosing algorithm.  */
#define LZ_COMPRESSOR           struct lzx_compressor
#define LZ_ADAPTIVE_STATE       struct lzx_lru_queue
struct lzx_compressor;
#include "wimlib/lz_optimal.h"

/* State of the LZX compressor.  */
struct lzx_compressor {

        /* The parameters that were used to create the compressor.  */
        struct wimlib_lzx_compressor_params params;

        /* The buffer of data to be compressed.
         *
         * 0xe8 byte preprocessing is done directly on the data here before
         * further compression.
         *
         * Note that this compressor does *not* use a real sliding window!!!!
         * It's not needed in the WIM format, since every chunk is compressed
         * independently.  This is by design, to allow random access to the
         * chunks.
         *
         * We reserve a few extra bytes to potentially allow reading off the end
         * of the array in the match-finding code for optimization purposes.
         */
        u8 *window;

        /* Number of bytes of data to be compressed, which is the number of
         * bytes of data in @window that are actually valid.  */
        input_idx_t window_size;

        /* Allocated size of the @window.  */
        input_idx_t max_window_size;

        /* Number of symbols in the main alphabet (depends on the
         * @max_window_size since it determines the maximum allowed offset).  */
        unsigned num_main_syms;

        /* The current match offset LRU queue.  */
        struct lzx_lru_queue queue;

        /* Space for the sequences of matches/literals that were chosen for each
         * block.  */
        struct lzx_match *chosen_matches;

        /* Information about the LZX blocks the preprocessed input was divided
         * into.  */
        struct lzx_block_spec *block_specs;

        /* Number of LZX blocks the input was divided into; a.k.a. the number of
         * elements of @block_specs that are valid.  */
        unsigned num_blocks;

        /* This is simply filled in with zeroes and used to avoid special-casing
         * the output of the first compressed Huffman code, which conceptually
         * has a delta taken from a code with all symbols having zero-length
         * codewords.  */
        struct lzx_codes zero_codes;

        /* The current cost model.  */
        struct lzx_costs costs;

        /* Fast algorithm only:  Array of hash table links.  */
        input_idx_t *prev_tab;

        /* Slow algorithm only: Suffix array match-finder.  */
        struct lz_sarray lz_sarray;

        /* Position in window of next match to return.  */
        input_idx_t match_window_pos;

        /* The match-finder shall ensure the length of matches does not exceed
         * this position in the input.  */
        input_idx_t match_window_end;

        /* Matches found by the match-finder are cached in the following array
         * to achieve a slight speedup when the same matches are needed on
         * subsequent passes.  This is suboptimal because different matches may
         * be preferred with different cost models, but seems to be a worthwhile
         * speedup.  */
        struct raw_match *cached_matches;
        unsigned cached_matches_pos;
        bool matches_cached;

        /* Match chooser.  */
        struct lz_match_chooser mc;
};

/* Returns the LZX position slot that corresponds to a given match offset,
 * taking into account the recent offset queue and updating it if the offset is
 * found in it.  */
static unsigned
lzx_get_position_slot(unsigned offset, struct lzx_lru_queue *queue)
{
        unsigned position_slot;

        /* See if the offset was recently used.  */
        for (unsigned i = 0; i < LZX_NUM_RECENT_OFFSETS; i++) {
                if (offset == queue->R[i]) {
                        /* Found it.  */

                        /* Bring the repeat offset to the front of the
                         * queue.  Note: this is, in fact, not a real
                         * LRU queue because repeat matches are simply
                         * swapped to the front.  */
                        swap(queue->R[0], queue->R[i]);

                        /* The resulting position slot is simply the first index
                         * at which the offset was found in the queue.  */
                        return i;
                }
        }

        /* The offset was not recently used; look up its real position slot.  */
        position_slot = lzx_get_position_slot_raw(offset + LZX_OFFSET_OFFSET);

        /* Bring the new offset to the front of the queue.  */
        for (unsigned i = LZX_NUM_RECENT_OFFSETS - 1; i > 0; i--)
                queue->R[i] = queue->R[i - 1];
        queue->R[0] = offset;

        return position_slot;
}

/* Build the main, length, and aligned offset Huffman codes used in LZX.
 *
 * This takes as input the frequency tables for each code and produces as output
 * a set of tables that map symbols to codewords and codeword lengths.  */
static void
lzx_make_huffman_codes(const struct lzx_freqs *freqs,
                       struct lzx_codes *codes,
                       unsigned num_main_syms)
{
        make_canonical_huffman_code(num_main_syms,
                                    LZX_MAX_MAIN_CODEWORD_LEN,
                                    freqs->main,
                                    codes->lens.main,
                                    codes->codewords.main);

        make_canonical_huffman_code(LZX_LENCODE_NUM_SYMBOLS,
                                    LZX_MAX_LEN_CODEWORD_LEN,
                                    freqs->len,
                                    codes->lens.len,
                                    codes->codewords.len);

        make_canonical_huffman_code(LZX_ALIGNEDCODE_NUM_SYMBOLS,
                                    LZX_MAX_ALIGNED_CODEWORD_LEN,
                                    freqs->aligned,
                                    codes->lens.aligned,
                                    codes->codewords.aligned);
}

/*
 * Output an LZX match.
 *
 * @out:         The bitstream to write the match to.
 * @block_type:  The type of the LZX block (LZX_BLOCKTYPE_ALIGNED or LZX_BLOCKTYPE_VERBATIM)
 * @match:       The match.
 * @codes:       Pointer to a structure that contains the codewords for the
 *               main, length, and aligned offset Huffman codes.
 */
static void
lzx_write_match(struct output_bitstream *out, int block_type,
                struct lzx_match match, const struct lzx_codes *codes)
{
        /* low 8 bits are the match length minus 2 */
        unsigned match_len_minus_2 = match.data & 0xff;
        /* Next 17 bits are the position footer */
        unsigned position_footer = (match.data >> 8) & 0x1ffff; /* 17 bits */
        /* Next 6 bits are the position slot. */
        unsigned position_slot = (match.data >> 25) & 0x3f;     /* 6 bits */
        unsigned len_header;
        unsigned len_footer;
        unsigned main_symbol;
        unsigned num_extra_bits;
        unsigned verbatim_bits;
        unsigned aligned_bits;

        /* If the match length is less than MIN_MATCH_LEN (= 2) +
         * NUM_PRIMARY_LENS (= 7), the length header contains
         * the match length minus MIN_MATCH_LEN, and there is no
         * length footer.
         *
         * Otherwise, the length header contains
         * NUM_PRIMARY_LENS, and the length footer contains
         * the match length minus NUM_PRIMARY_LENS minus
         * MIN_MATCH_LEN. */
        if (match_len_minus_2 < LZX_NUM_PRIMARY_LENS) {
                len_header = match_len_minus_2;
                /* No length footer-- mark it with a special
                 * value. */
                len_footer = (unsigned)(-1);
        } else {
                len_header = LZX_NUM_PRIMARY_LENS;
                len_footer = match_len_minus_2 - LZX_NUM_PRIMARY_LENS;
        }

        /* Combine the position slot with the length header into a single symbol
         * that will be encoded with the main code.
         *
         * The actual main symbol is offset by LZX_NUM_CHARS because values
         * under LZX_NUM_CHARS are used to indicate a literal byte rather than a
         * match.  */
        main_symbol = ((position_slot << 3) | len_header) + LZX_NUM_CHARS;

        /* Output main symbol. */
        bitstream_put_bits(out, codes->codewords.main[main_symbol],
                           codes->lens.main[main_symbol]);

        /* If there is a length footer, output it using the
         * length Huffman code. */
        if (len_footer != (unsigned)(-1)) {
                bitstream_put_bits(out, codes->codewords.len[len_footer],
                                   codes->lens.len[len_footer]);
        }

        num_extra_bits = lzx_get_num_extra_bits(position_slot);

        /* For aligned offset blocks with at least 3 extra bits, output the
         * verbatim bits literally, then the aligned bits encoded using the
         * aligned offset code.  Otherwise, only the verbatim bits need to be
         * output. */
        if ((block_type == LZX_BLOCKTYPE_ALIGNED) && (num_extra_bits >= 3)) {

                verbatim_bits = position_footer >> 3;
                bitstream_put_bits(out, verbatim_bits,
                                   num_extra_bits - 3);

                aligned_bits = (position_footer & 7);
                bitstream_put_bits(out,
                                   codes->codewords.aligned[aligned_bits],
                                   codes->lens.aligned[aligned_bits]);
        } else {
                /* verbatim bits is the same as the position
                 * footer, in this case. */
                bitstream_put_bits(out, position_footer, num_extra_bits);
        }
}

static unsigned
lzx_build_precode(const u8 lens[restrict],
                  const u8 prev_lens[restrict],
                  const unsigned num_syms,
                  input_idx_t precode_freqs[restrict LZX_PRECODE_NUM_SYMBOLS],
                  u8 output_syms[restrict num_syms],
                  u8 precode_lens[restrict LZX_PRECODE_NUM_SYMBOLS],
                  u16 precode_codewords[restrict LZX_PRECODE_NUM_SYMBOLS],
                  unsigned *num_additional_bits_ret)
{
        memset(precode_freqs, 0,
               LZX_PRECODE_NUM_SYMBOLS * sizeof(precode_freqs[0]));

        /* Since the code word lengths use a form of RLE encoding, the goal here
         * is to find each run of identical lengths when going through them in
         * symbol order (including runs of length 1).  For each run, as many
         * lengths are encoded using RLE as possible, and the rest are output
         * literally.
         *
         * output_syms[] will be filled in with the length symbols that will be
         * output, including RLE codes, not yet encoded using the precode.
         *
         * cur_run_len keeps track of how many code word lengths are in the
         * current run of identical lengths.  */
        unsigned output_syms_idx = 0;
        unsigned cur_run_len = 1;
        unsigned num_additional_bits = 0;
        for (unsigned i = 1; i <= num_syms; i++) {

                if (i != num_syms && lens[i] == lens[i - 1]) {
                        /* Still in a run--- keep going. */
                        cur_run_len++;
                        continue;
                }

                /* Run ended! Check if it is a run of zeroes or a run of
                 * nonzeroes. */

                /* The symbol that was repeated in the run--- not to be confused
                 * with the length *of* the run (cur_run_len) */
                unsigned len_in_run = lens[i - 1];

                if (len_in_run == 0) {
                        /* A run of 0's.  Encode it in as few length
                         * codes as we can. */

                        /* The magic length 18 indicates a run of 20 + n zeroes,
                         * where n is an uncompressed literal 5-bit integer that
                         * follows the magic length. */
                        while (cur_run_len >= 20) {
                                unsigned additional_bits;

                                additional_bits = min(cur_run_len - 20, 0x1f);
                                num_additional_bits += 5;
                                precode_freqs[18]++;
                                output_syms[output_syms_idx++] = 18;
                                output_syms[output_syms_idx++] = additional_bits;
                                cur_run_len -= 20 + additional_bits;
                        }

                        /* The magic length 17 indicates a run of 4 + n zeroes,
                         * where n is an uncompressed literal 4-bit integer that
                         * follows the magic length. */
                        while (cur_run_len >= 4) {
                                unsigned additional_bits;

                                additional_bits = min(cur_run_len - 4, 0xf);
                                num_additional_bits += 4;
                                precode_freqs[17]++;
                                output_syms[output_syms_idx++] = 17;
                                output_syms[output_syms_idx++] = additional_bits;
                                cur_run_len -= 4 + additional_bits;
                        }

                } else {

                        /* A run of nonzero lengths. */

                        /* The magic length 19 indicates a run of 4 + n
                         * nonzeroes, where n is a literal bit that follows the
                         * magic length, and where the value of the lengths in
                         * the run is given by an extra length symbol, encoded
                         * with the precode, that follows the literal bit.
                         *
                         * The extra length symbol is encoded as a difference
                         * from the length of the codeword for the first symbol
                         * in the run in the previous code.
                         * */
                        while (cur_run_len >= 4) {
                                unsigned additional_bits;
                                signed char delta;

                                additional_bits = (cur_run_len > 4);
                                num_additional_bits += 1;
                                delta = (signed char)prev_lens[i - cur_run_len] -
                                        (signed char)len_in_run;
                                if (delta < 0)
                                        delta += 17;
                                precode_freqs[19]++;
                                precode_freqs[(unsigned char)delta]++;
                                output_syms[output_syms_idx++] = 19;
                                output_syms[output_syms_idx++] = additional_bits;
                                output_syms[output_syms_idx++] = delta;
                                cur_run_len -= 4 + additional_bits;
                        }
                }

                /* Any remaining lengths in the run are outputted without RLE,
                 * as a difference from the length of that codeword in the
                 * previous code. */
                while (cur_run_len > 0) {
                        signed char delta;

                        delta = (signed char)prev_lens[i - cur_run_len] -
                                (signed char)len_in_run;
                        if (delta < 0)
                                delta += 17;

                        precode_freqs[(unsigned char)delta]++;
                        output_syms[output_syms_idx++] = delta;
                        cur_run_len--;
                }

                cur_run_len = 1;
        }

        /* Build the precode from the frequencies of the length symbols. */

        make_canonical_huffman_code(LZX_PRECODE_NUM_SYMBOLS,
                                    LZX_MAX_PRE_CODEWORD_LEN,
                                    precode_freqs, precode_lens,
                                    precode_codewords);

        *num_additional_bits_ret = num_additional_bits;

        return output_syms_idx;
}

/*
 * Writes a compressed Huffman code to the output, preceded by the precode for
 * it.
 *
 * The Huffman code is represented in the output as a series of path lengths
 * from which the canonical Huffman code can be reconstructed.  The path lengths
 * themselves are compressed using a separate Huffman code, the precode, which
 * consists of LZX_PRECODE_NUM_SYMBOLS (= 20) symbols that cover all possible
 * code lengths, plus extra codes for repeated lengths.  The path lengths of the
 * precode precede the path lengths of the larger code and are uncompressed,
 * consisting of 20 entries of 4 bits each.
 *
 * @out:                Bitstream to write the code to.
 * @lens:               The code lengths for the Huffman code, indexed by symbol.
 * @prev_lens:          Code lengths for this Huffman code, indexed by symbol,
 *                      in the *previous block*, or all zeroes if this is the
 *                      first block.
 * @num_syms:           The number of symbols in the code.
 */
static void
lzx_write_compressed_code(struct output_bitstream *out,
                          const u8 lens[restrict],
                          const u8 prev_lens[restrict],
                          unsigned num_syms)
{
        input_idx_t precode_freqs[LZX_PRECODE_NUM_SYMBOLS];
        u8 output_syms[num_syms];
        u8 precode_lens[LZX_PRECODE_NUM_SYMBOLS];
        u16 precode_codewords[LZX_PRECODE_NUM_SYMBOLS];
        unsigned i;
        unsigned num_output_syms;
        u8 precode_sym;
        unsigned dummy;

        num_output_syms = lzx_build_precode(lens,
                                            prev_lens,
                                            num_syms,
                                            precode_freqs,
                                            output_syms,
                                            precode_lens,
                                            precode_codewords,
                                            &dummy);

        /* Write the lengths of the precode codes to the output. */
        for (i = 0; i < LZX_PRECODE_NUM_SYMBOLS; i++)
                bitstream_put_bits(out, precode_lens[i],
                                   LZX_PRECODE_ELEMENT_SIZE);

        /* Write the length symbols, encoded with the precode, to the output. */

        for (i = 0; i < num_output_syms; ) {
                precode_sym = output_syms[i++];

                bitstream_put_bits(out, precode_codewords[precode_sym],
                                   precode_lens[precode_sym]);
                switch (precode_sym) {
                case 17:
                        bitstream_put_bits(out, output_syms[i++], 4);
                        break;
                case 18:
                        bitstream_put_bits(out, output_syms[i++], 5);
                        break;
                case 19:
                        bitstream_put_bits(out, output_syms[i++], 1);
                        bitstream_put_bits(out,
                                           precode_codewords[output_syms[i]],
                                           precode_lens[output_syms[i]]);
                        i++;
                        break;
                default:
                        break;
                }
        }
}

/*
 * Writes all compressed matches and literal bytes in an LZX block to the the
 * output bitstream.
 *
 * @ostream
 *      The output bitstream.
 * @block_type
 *      The type of the block (LZX_BLOCKTYPE_ALIGNED or LZX_BLOCKTYPE_VERBATIM).
 * @match_tab
 *      The array of matches/literals that will be output (length @match_count).
 * @match_count
 *      Number of matches/literals to be output.
 * @codes
 *      Pointer to a structure that contains the codewords for the main, length,
 *      and aligned offset Huffman codes.
 */
static void
lzx_write_matches_and_literals(struct output_bitstream *ostream,
                               int block_type,
                               const struct lzx_match match_tab[],
                               unsigned match_count,
                               const struct lzx_codes *codes)
{
        for (unsigned i = 0; i < match_count; i++) {
                struct lzx_match match = match_tab[i];

                /* High bit of the match indicates whether the match is an
                 * actual match (1) or a literal uncompressed byte (0)  */
                if (match.data & 0x80000000) {
                        /* match */
                        lzx_write_match(ostream, block_type,
                                        match, codes);
                } else {
                        /* literal byte */
                        bitstream_put_bits(ostream,
                                           codes->codewords.main[match.data],
                                           codes->lens.main[match.data]);
                }
        }
}

static void
lzx_assert_codes_valid(const struct lzx_codes * codes, unsigned num_main_syms)
{
#ifdef ENABLE_LZX_DEBUG
        unsigned i;

        for (i = 0; i < num_main_syms; i++)
                LZX_ASSERT(codes->lens.main[i] <= LZX_MAX_MAIN_CODEWORD_LEN);

        for (i = 0; i < LZX_LENCODE_NUM_SYMBOLS; i++)
                LZX_ASSERT(codes->lens.len[i] <= LZX_MAX_LEN_CODEWORD_LEN);

        for (i = 0; i < LZX_ALIGNEDCODE_NUM_SYMBOLS; i++)
                LZX_ASSERT(codes->lens.aligned[i] <= LZX_MAX_ALIGNED_CODEWORD_LEN);

        const unsigned tablebits = 10;
        u16 decode_table[(1 << tablebits) +
                         (2 * max(num_main_syms, LZX_LENCODE_NUM_SYMBOLS))]
                         _aligned_attribute(DECODE_TABLE_ALIGNMENT);
        LZX_ASSERT(0 == make_huffman_decode_table(decode_table,
                                                  num_main_syms,
                                                  min(tablebits, LZX_MAINCODE_TABLEBITS),
                                                  codes->lens.main,
                                                  LZX_MAX_MAIN_CODEWORD_LEN));
        LZX_ASSERT(0 == make_huffman_decode_table(decode_table,
                                                  LZX_LENCODE_NUM_SYMBOLS,
                                                  min(tablebits, LZX_LENCODE_TABLEBITS),
                                                  codes->lens.len,
                                                  LZX_MAX_LEN_CODEWORD_LEN));
        LZX_ASSERT(0 == make_huffman_decode_table(decode_table,
                                                  LZX_ALIGNEDCODE_NUM_SYMBOLS,
                                                  min(tablebits, LZX_ALIGNEDCODE_TABLEBITS),
                                                  codes->lens.aligned,
                                                  LZX_MAX_ALIGNED_CODEWORD_LEN));
#endif /* ENABLE_LZX_DEBUG */
}

/* Write an LZX aligned offset or verbatim block to the output.  */
static void
lzx_write_compressed_block(int block_type,
                           unsigned block_size,
                           unsigned max_window_size,
                           unsigned num_main_syms,
                           struct lzx_match * chosen_matches,
                           unsigned num_chosen_matches,
                           const struct lzx_codes * codes,
                           const struct lzx_codes * prev_codes,
                           struct output_bitstream * ostream)
{
        unsigned i;

        LZX_ASSERT(block_type == LZX_BLOCKTYPE_ALIGNED ||
                   block_type == LZX_BLOCKTYPE_VERBATIM);
        lzx_assert_codes_valid(codes, num_main_syms);

        /* The first three bits indicate the type of block and are one of the
         * LZX_BLOCKTYPE_* constants.  */
        bitstream_put_bits(ostream, block_type, 3);

        /* Output the block size.
         *
         * The original LZX format seemed to always encode the block size in 3
         * bytes.  However, the implementation in WIMGAPI, as used in WIM files,
         * uses the first bit to indicate whether the block is the default size
         * (32768) or a different size given explicitly by the next 16 bits.
         *
         * By default, this compressor uses a window size of 32768 and therefore
         * follows the WIMGAPI behavior.  However, this compressor also supports
         * window sizes greater than 32768 bytes, which do not appear to be
         * supported by WIMGAPI.  In such cases, we retain the default size bit
         * to mean a size of 32768 bytes but output non-default block size in 24
         * bits rather than 16.  The compatibility of this behavior is unknown
         * because WIMs created with chunk size greater than 32768 can seemingly
         * only be opened by wimlib anyway.  */
        if (block_size == LZX_DEFAULT_BLOCK_SIZE) {
                bitstream_put_bits(ostream, 1, 1);
        } else {
                bitstream_put_bits(ostream, 0, 1);

                if (max_window_size >= 65536)
                        bitstream_put_bits(ostream, block_size >> 16, 8);

                bitstream_put_bits(ostream, block_size, 16);
        }

        /* Write out lengths of the main code. Note that the LZX specification
         * incorrectly states that the aligned offset code comes after the
         * length code, but in fact it is the very first code to be written
         * (before the main code).  */
        if (block_type == LZX_BLOCKTYPE_ALIGNED)
                for (i = 0; i < LZX_ALIGNEDCODE_NUM_SYMBOLS; i++)
                        bitstream_put_bits(ostream, codes->lens.aligned[i],
                                           LZX_ALIGNEDCODE_ELEMENT_SIZE);

        LZX_DEBUG("Writing main code...");

        /* Write the precode and lengths for the first LZX_NUM_CHARS symbols in
         * the main code, which are the codewords for literal bytes.  */
        lzx_write_compressed_code(ostream,
                                  codes->lens.main,
                                  prev_codes->lens.main,
                                  LZX_NUM_CHARS);

        /* Write the precode and lengths for the rest of the main code, which
         * are the codewords for match headers.  */
        lzx_write_compressed_code(ostream,
                                  codes->lens.main + LZX_NUM_CHARS,
                                  prev_codes->lens.main + LZX_NUM_CHARS,
                                  num_main_syms - LZX_NUM_CHARS);

        LZX_DEBUG("Writing length code...");

        /* Write the precode and lengths for the length code.  */
        lzx_write_compressed_code(ostream,
                                  codes->lens.len,
                                  prev_codes->lens.len,
                                  LZX_LENCODE_NUM_SYMBOLS);

        LZX_DEBUG("Writing matches and literals...");

        /* Write the actual matches and literals.  */
        lzx_write_matches_and_literals(ostream, block_type,
                                       chosen_matches, num_chosen_matches,
                                       codes);

        LZX_DEBUG("Done writing block.");
}

/* Write out the LZX blocks that were computed.  */
static void
lzx_write_all_blocks(struct lzx_compressor *ctx, struct output_bitstream *ostream)
{

        const struct lzx_codes *prev_codes = &ctx->zero_codes;
        for (unsigned i = 0; i < ctx->num_blocks; i++) {
                const struct lzx_block_spec *spec = &ctx->block_specs[i];

                LZX_DEBUG("Writing block %u/%u (type=%d, size=%u, num_chosen_matches=%u)...",
                          i + 1, ctx->num_blocks,
                          spec->block_type, spec->block_size,
                          spec->num_chosen_matches);

                lzx_write_compressed_block(spec->block_type,
                                           spec->block_size,
                                           ctx->max_window_size,
                                           ctx->num_main_syms,
                                           &ctx->chosen_matches[spec->chosen_matches_start_pos],
                                           spec->num_chosen_matches,
                                           &spec->codes,
                                           prev_codes,
                                           ostream);

                prev_codes = &spec->codes;
        }
}

/* Constructs an LZX match from a literal byte and updates the main code symbol
 * frequencies.  */
static u32
lzx_tally_literal(u8 lit, struct lzx_freqs *freqs)
{
        freqs->main[lit]++;
        return (u32)lit;
}

/* Constructs an LZX match from an offset and a length, and updates the LRU
 * queue and the frequency of symbols in the main, length, and aligned offset
 * alphabets.  The return value is a 32-bit number that provides the match in an
 * intermediate representation documented below.  */
static u32
lzx_tally_match(unsigned match_len, unsigned match_offset,
                struct lzx_freqs *freqs, struct lzx_lru_queue *queue)
{
        unsigned position_slot;
        unsigned position_footer;
        u32 len_header;
        unsigned main_symbol;
        unsigned len_footer;
        unsigned adjusted_match_len;

        LZX_ASSERT(match_len >= LZX_MIN_MATCH_LEN && match_len <= LZX_MAX_MATCH_LEN);

        /* The match offset shall be encoded as a position slot (itself encoded
         * as part of the main symbol) and a position footer.  */
        position_slot = lzx_get_position_slot(match_offset, queue);
        position_footer = (match_offset + LZX_OFFSET_OFFSET) &
                                ((1U << lzx_get_num_extra_bits(position_slot)) - 1);

        /* The match length shall be encoded as a length header (itself encoded
         * as part of the main symbol) and an optional length footer.  */
        adjusted_match_len = match_len - LZX_MIN_MATCH_LEN;
        if (adjusted_match_len < LZX_NUM_PRIMARY_LENS) {
                /* No length footer needed.  */
                len_header = adjusted_match_len;
        } else {
                /* Length footer needed.  It will be encoded using the length
                 * code.  */
                len_header = LZX_NUM_PRIMARY_LENS;
                len_footer = adjusted_match_len - LZX_NUM_PRIMARY_LENS;
                freqs->len[len_footer]++;
        }

        /* Account for the main symbol.  */
        main_symbol = ((position_slot << 3) | len_header) + LZX_NUM_CHARS;

        freqs->main[main_symbol]++;

        /* In an aligned offset block, 3 bits of the position footer are output
         * as an aligned offset symbol.  Account for this, although we may
         * ultimately decide to output the block as verbatim.  */

        /* The following check is equivalent to:
         *
         * if (lzx_extra_bits[position_slot] >= 3)
         *
         * Note that this correctly excludes position slots that correspond to
         * recent offsets.  */
        if (position_slot >= 8)
                freqs->aligned[position_footer & 7]++;

        /* Pack the position slot, position footer, and match length into an
         * intermediate representation.  See `struct lzx_match' for details.
         */
        LZX_ASSERT(LZX_MAX_POSITION_SLOTS <= 64);
        LZX_ASSERT(lzx_get_num_extra_bits(LZX_MAX_POSITION_SLOTS - 1) <= 17);
        LZX_ASSERT(LZX_MAX_MATCH_LEN - LZX_MIN_MATCH_LEN + 1 <= 256);

        LZX_ASSERT(position_slot      <= (1U << (31 - 25)) - 1);
        LZX_ASSERT(position_footer    <= (1U << (25 -  8)) - 1);
        LZX_ASSERT(adjusted_match_len <= (1U << (8  -  0)) - 1);
        return 0x80000000 |
                (position_slot << 25) |
                (position_footer << 8) |
                (adjusted_match_len);
}

struct lzx_record_ctx {
        struct lzx_freqs freqs;
        struct lzx_lru_queue queue;
        struct lzx_match *matches;
};

static void
lzx_record_match(unsigned len, unsigned offset, void *_ctx)
{
        struct lzx_record_ctx *ctx = _ctx;

        (ctx->matches++)->data = lzx_tally_match(len, offset, &ctx->freqs, &ctx->queue);
}

static void
lzx_record_literal(u8 lit, void *_ctx)
{
        struct lzx_record_ctx *ctx = _ctx;

        (ctx->matches++)->data = lzx_tally_literal(lit, &ctx->freqs);
}

/* Returns the cost, in bits, to output a literal byte using the specified cost
 * model.  */
static unsigned
lzx_literal_cost(u8 c, const struct lzx_costs * costs)
{
        return costs->main[c];
}

/* Given a (length, offset) pair that could be turned into a valid LZX match as
 * well as costs for the codewords in the main, length, and aligned Huffman
 * codes, return the approximate number of bits it will take to represent this
 * match in the compressed output.  Take into account the match offset LRU
 * queue and optionally update it.  */
static unsigned
lzx_match_cost(unsigned length, unsigned offset, const struct lzx_costs *costs,
               struct lzx_lru_queue *queue)
{
        unsigned position_slot;
        unsigned len_header, main_symbol;
        unsigned cost = 0;

        position_slot = lzx_get_position_slot(offset, queue);

        len_header = min(length - LZX_MIN_MATCH_LEN, LZX_NUM_PRIMARY_LENS);
        main_symbol = ((position_slot << 3) | len_header) + LZX_NUM_CHARS;

        /* Account for main symbol.  */
        cost += costs->main[main_symbol];

        /* Account for extra position information.  */
        unsigned num_extra_bits = lzx_get_num_extra_bits(position_slot);
        if (num_extra_bits >= 3) {
                cost += num_extra_bits - 3;
                cost += costs->aligned[(offset + LZX_OFFSET_OFFSET) & 7];
        } else {
                cost += num_extra_bits;
        }

        /* Account for extra length information.  */
        if (len_header == LZX_NUM_PRIMARY_LENS)
                cost += costs->len[length - LZX_MIN_MATCH_LEN - LZX_NUM_PRIMARY_LENS];

        return cost;

}

/* Fast heuristic cost evaluation to use in the inner loop of the match-finder.
 * Unlike lzx_match_cost() which does a true cost evaluation, this simply
 * prioritize matches based on their offset.  */
static input_idx_t
lzx_match_cost_fast(input_idx_t length, input_idx_t offset, const void *_queue)
{
        const struct lzx_lru_queue *queue = _queue;

        /* It seems well worth it to take the time to give priority to recently
         * used offsets.  */
        for (input_idx_t i = 0; i < LZX_NUM_RECENT_OFFSETS; i++)
                if (offset == queue->R[i])
                        return i;

        return offset;
}

/* Set the cost model @ctx->costs from the Huffman codeword lengths specified in
 * @lens.
 *
 * The cost model and codeword lengths are almost the same thing, but the
 * Huffman codewords with length 0 correspond to symbols with zero frequency
 * that still need to be assigned actual costs.  The specific values assigned
 * are arbitrary, but they should be fairly high (near the maximum codeword
 * length) to take into account the fact that uses of these symbols are expected
 * to be rare.  */
static void
lzx_set_costs(struct lzx_compressor * ctx, const struct lzx_lens * lens)
{
        unsigned i;
        unsigned num_main_syms = ctx->num_main_syms;

        /* Main code  */
        for (i = 0; i < num_main_syms; i++) {
                ctx->costs.main[i] = lens->main[i];
                if (ctx->costs.main[i] == 0)
                        ctx->costs.main[i] = ctx->params.alg_params.slow.main_nostat_cost;
        }

        /* Length code  */
        for (i = 0; i < LZX_LENCODE_NUM_SYMBOLS; i++) {
                ctx->costs.len[i] = lens->len[i];
                if (ctx->costs.len[i] == 0)
                        ctx->costs.len[i] = ctx->params.alg_params.slow.len_nostat_cost;
        }

        /* Aligned offset code  */
        for (i = 0; i < LZX_ALIGNEDCODE_NUM_SYMBOLS; i++) {
                ctx->costs.aligned[i] = lens->aligned[i];
                if (ctx->costs.aligned[i] == 0)
                        ctx->costs.aligned[i] = ctx->params.alg_params.slow.aligned_nostat_cost;
        }
}

/* Tell the match-finder to skip the specified number of bytes (@n) in the
 * input.  */
static void
lzx_lz_skip_bytes(struct lzx_compressor *ctx, input_idx_t n)
{
        LZX_ASSERT(n <= ctx->match_window_end - ctx->match_window_pos);
        if (ctx->matches_cached) {
                ctx->match_window_pos += n;
                while (n--) {
                        ctx->cached_matches_pos +=
                                ctx->cached_matches[ctx->cached_matches_pos].len + 1;
                }
        } else {
                while (n--) {
                        ctx->cached_matches[ctx->cached_matches_pos++].len = 0;
                        lz_sarray_skip_position(&ctx->lz_sarray);
                        ctx->match_window_pos++;
                }
                LZX_ASSERT(lz_sarray_get_pos(&ctx->lz_sarray) == ctx->match_window_pos);
        }
}

/* Retrieve a list of matches available at the next position in the input.
 *
 * The matches are written to ctx->matches in decreasing order of length, and
 * the return value is the number of matches found.  */
static u32
lzx_lz_get_matches_caching(struct lzx_compressor *ctx,
                           const struct lzx_lru_queue *queue,
                           struct raw_match **matches_ret)
{
        u32 num_matches;
        struct raw_match *matches;

        LZX_ASSERT(ctx->match_window_pos <= ctx->match_window_end);

        matches = &ctx->cached_matches[ctx->cached_matches_pos + 1];

        if (ctx->matches_cached) {
                num_matches = matches[-1].len;
        } else {
                LZX_ASSERT(lz_sarray_get_pos(&ctx->lz_sarray) == ctx->match_window_pos);
                num_matches = lz_sarray_get_matches(&ctx->lz_sarray,
                                                    matches,
                                                    lzx_match_cost_fast,
                                                    queue);
                matches[-1].len = num_matches;
        }
        ctx->cached_matches_pos += num_matches + 1;
        *matches_ret = matches;

        /* Cap the length of returned matches to the number of bytes remaining,
         * if it is not the whole window.  */
        if (ctx->match_window_end < ctx->window_size) {
                unsigned maxlen = ctx->match_window_end - ctx->match_window_pos;
                for (u32 i = 0; i < num_matches; i++)
                        if (matches[i].len > maxlen)
                                matches[i].len = maxlen;
        }
#if 0
        fprintf(stderr, "Pos %u/%u: %u matches\n",
                ctx->match_window_pos, ctx->match_window_end, num_matches);
        for (unsigned i = 0; i < num_matches; i++)
                fprintf(stderr, "\tLen %u Offset %u\n", matches[i].len, matches[i].offset);
#endif

#ifdef ENABLE_LZX_DEBUG
        for (u32 i = 0; i < num_matches; i++) {
                LZX_ASSERT(matches[i].len >= LZX_MIN_MATCH_LEN);
                LZX_ASSERT(matches[i].len <= LZX_MAX_MATCH_LEN);
                LZX_ASSERT(matches[i].len <= ctx->match_window_end - ctx->match_window_pos);
                LZX_ASSERT(matches[i].offset > 0);
                LZX_ASSERT(matches[i].offset <= ctx->match_window_pos);
                LZX_ASSERT(!memcmp(&ctx->window[ctx->match_window_pos],
                                   &ctx->window[ctx->match_window_pos - matches[i].offset],
                                   matches[i].len));
        }
#endif

        ctx->match_window_pos++;
        return num_matches;
}

static u32
lzx_get_prev_literal_cost(struct lzx_compressor *ctx,
                          struct lzx_lru_queue *queue)
{
        return lzx_literal_cost(ctx->window[ctx->match_window_pos - 1],
                                &ctx->costs);
}

static u32
lzx_get_match_cost(struct lzx_compressor *ctx,
                   struct lzx_lru_queue *queue,
                   input_idx_t length, input_idx_t offset)
{
        return lzx_match_cost(length, offset, &ctx->costs, queue);
}

static struct raw_match
lzx_lz_get_near_optimal_match(struct lzx_compressor *ctx)
{
        return lz_get_near_optimal_match(&ctx->mc,
                                         lzx_lz_get_matches_caching,
                                         lzx_lz_skip_bytes,
                                         lzx_get_prev_literal_cost,
                                         lzx_get_match_cost,
                                         ctx,
                                         &ctx->queue);
}

/*
 * Set default symbol costs.
 */
static void
lzx_set_default_costs(struct lzx_costs * costs, unsigned num_main_syms)
{
        unsigned i;

        /* Literal symbols  */
        for (i = 0; i < LZX_NUM_CHARS; i++)
                costs->main[i] = 8;

        /* Match header symbols  */
        for (; i < num_main_syms; i++)
                costs->main[i] = 10;

        /* Length symbols  */
        for (i = 0; i < LZX_LENCODE_NUM_SYMBOLS; i++)
                costs->len[i] = 8;

        /* Aligned offset symbols  */
        for (i = 0; i < LZX_ALIGNEDCODE_NUM_SYMBOLS; i++)
                costs->aligned[i] = 3;
}

/* Given the frequencies of symbols in a compressed block and the corresponding
 * Huffman codes, return LZX_BLOCKTYPE_ALIGNED or LZX_BLOCKTYPE_VERBATIM if an
 * aligned offset or verbatim block, respectively, will take fewer bits to
 * output.  */
static int
lzx_choose_verbatim_or_aligned(const struct lzx_freqs * freqs,
                               const struct lzx_codes * codes)
{
        unsigned aligned_cost = 0;
        unsigned verbatim_cost = 0;

        /* Verbatim blocks have a constant 3 bits per position footer.  Aligned
         * offset blocks have an aligned offset symbol per position footer, plus
         * an extra 24 bits to output the lengths necessary to reconstruct the
         * aligned offset code itself.  */
        for (unsigned i = 0; i < LZX_ALIGNEDCODE_NUM_SYMBOLS; i++) {
                verbatim_cost += 3 * freqs->aligned[i];
                aligned_cost += codes->lens.aligned[i] * freqs->aligned[i];
        }
        aligned_cost += LZX_ALIGNEDCODE_ELEMENT_SIZE * LZX_ALIGNEDCODE_NUM_SYMBOLS;
        if (aligned_cost < verbatim_cost)
                return LZX_BLOCKTYPE_ALIGNED;
        else
                return LZX_BLOCKTYPE_VERBATIM;
}

/* Find a near-optimal sequence of matches/literals with which to output the
 * specified LZX block, then set its type to that which has the minimum cost to
 * output.  */
static void
lzx_optimize_block(struct lzx_compressor *ctx, struct lzx_block_spec *spec,
                   unsigned num_passes)
{
        const struct lzx_lru_queue orig_queue = ctx->queue;
        struct lzx_freqs freqs;

        unsigned orig_window_pos = spec->window_pos;
        unsigned orig_cached_pos = ctx->cached_matches_pos;

        LZX_ASSERT(ctx->match_window_pos == spec->window_pos);

        ctx->match_window_end = spec->window_pos + spec->block_size;
        spec->chosen_matches_start_pos = spec->window_pos;

        LZX_ASSERT(num_passes >= 1);

        /* The first optimal parsing pass is done using the cost model already
         * set in ctx->costs.  Each later pass is done using a cost model
         * computed from the previous pass.  */
        for (unsigned pass = 0; pass < num_passes; pass++) {

                ctx->match_window_pos = orig_window_pos;
                ctx->cached_matches_pos = orig_cached_pos;
                ctx->queue = orig_queue;
                spec->num_chosen_matches = 0;
                memset(&freqs, 0, sizeof(freqs));

                for (unsigned i = spec->window_pos; i < spec->window_pos + spec->block_size; ) {
                        struct raw_match raw_match;
                        struct lzx_match lzx_match;

                        raw_match = lzx_lz_get_near_optimal_match(ctx);
                        if (raw_match.len >= LZX_MIN_MATCH_LEN) {
                                lzx_match.data = lzx_tally_match(raw_match.len, raw_match.offset,
                                                                 &freqs, &ctx->queue);
                                i += raw_match.len;
                        } else {
                                lzx_match.data = lzx_tally_literal(ctx->window[i], &freqs);
                                i += 1;
                        }
                        ctx->chosen_matches[spec->chosen_matches_start_pos +
                                            spec->num_chosen_matches++] = lzx_match;
                }

                lzx_make_huffman_codes(&freqs, &spec->codes,
                                       ctx->num_main_syms);
                if (pass < num_passes - 1)
                        lzx_set_costs(ctx, &spec->codes.lens);
                ctx->matches_cached = true;
        }
        spec->block_type = lzx_choose_verbatim_or_aligned(&freqs, &spec->codes);
        ctx->matches_cached = false;
}

static void
lzx_optimize_blocks(struct lzx_compressor *ctx)
{
        lzx_lru_queue_init(&ctx->queue);
        lz_match_chooser_begin(&ctx->mc);

        const unsigned num_passes = ctx->params.alg_params.slow.num_optim_passes;

        for (unsigned i = 0; i < ctx->num_blocks; i++)
                lzx_optimize_block(ctx, &ctx->block_specs[i], num_passes);
}

/* Prepare the input window into one or more LZX blocks ready to be output.  */
static void
lzx_prepare_blocks(struct lzx_compressor * ctx)
{
        /* Initialize the match-finder.  */
        lz_sarray_load_window(&ctx->lz_sarray, ctx->window, ctx->window_size);
        ctx->cached_matches_pos = 0;
        ctx->matches_cached = false;
        ctx->match_window_pos = 0;

        /* Set up a default cost model.  */
        lzx_set_default_costs(&ctx->costs, ctx->num_main_syms);

        ctx->num_blocks = DIV_ROUND_UP(ctx->window_size, LZX_DIV_BLOCK_SIZE);
        for (unsigned i = 0; i < ctx->num_blocks; i++) {
                unsigned pos = LZX_DIV_BLOCK_SIZE * i;
                ctx->block_specs[i].window_pos = pos;
                ctx->block_specs[i].block_size = min(ctx->window_size - pos, LZX_DIV_BLOCK_SIZE);
        }

        /* Determine sequence of matches/literals to output for each block.  */
        lzx_optimize_blocks(ctx);
}

/*
 * This is the fast version of lzx_prepare_blocks().  This version "quickly"
 * prepares a single compressed block containing the entire input.  See the
 * description of the "Fast algorithm" at the beginning of this file for more
 * information.
 *
 * Input ---  the preprocessed data:
 *
 *      ctx->window[]
 *      ctx->window_size
 *
 * Output --- the block specification and the corresponding match/literal data:
 *
 *      ctx->block_specs[]
 *      ctx->num_blocks
 *      ctx->chosen_matches[]
 */
static void
lzx_prepare_block_fast(struct lzx_compressor * ctx)
{
        struct lzx_record_ctx record_ctx;
        struct lzx_block_spec *spec;

        /* Parameters to hash chain LZ match finder
         * (lazy with 1 match lookahead)  */
        static const struct lz_params lzx_lz_params = {
                /* Although LZX_MIN_MATCH_LEN == 2, length 2 matches typically
                 * aren't worth choosing when using greedy or lazy parsing.  */
                .min_match      = 3,
                .max_match      = LZX_MAX_MATCH_LEN,
                .max_offset     = LZX_MAX_WINDOW_SIZE,
                .good_match     = LZX_MAX_MATCH_LEN,
                .nice_match     = LZX_MAX_MATCH_LEN,
                .max_chain_len  = LZX_MAX_MATCH_LEN,
                .max_lazy_match = LZX_MAX_MATCH_LEN,
                .too_far        = 4096,
        };

        /* Initialize symbol frequencies and match offset LRU queue.  */
        memset(&record_ctx.freqs, 0, sizeof(struct lzx_freqs));
        lzx_lru_queue_init(&record_ctx.queue);
        record_ctx.matches = ctx->chosen_matches;

        /* Determine series of matches/literals to output.  */
        lz_analyze_block(ctx->window,
                         ctx->window_size,
                         lzx_record_match,
                         lzx_record_literal,
                         &record_ctx,
                         &lzx_lz_params,
                         ctx->prev_tab);

        /* Set up block specification.  */
        spec = &ctx->block_specs[0];
        spec->block_type = LZX_BLOCKTYPE_ALIGNED;
        spec->window_pos = 0;
        spec->block_size = ctx->window_size;
        spec->num_chosen_matches = (record_ctx.matches - ctx->chosen_matches);
        spec->chosen_matches_start_pos = 0;
        lzx_make_huffman_codes(&record_ctx.freqs, &spec->codes,
                               ctx->num_main_syms);
        ctx->num_blocks = 1;
}

static void
do_call_insn_translation(u32 *call_insn_target, int input_pos,
                         s32 file_size)
{
        s32 abs_offset;
        s32 rel_offset;

        rel_offset = le32_to_cpu(*call_insn_target);
        if (rel_offset >= -input_pos && rel_offset < file_size) {
                if (rel_offset < file_size - input_pos) {
                        /* "good translation" */
                        abs_offset = rel_offset + input_pos;
                } else {
                        /* "compensating translation" */
                        abs_offset = rel_offset - file_size;
                }
                *call_insn_target = cpu_to_le32(abs_offset);
        }
}

/* This is the reverse of undo_call_insn_preprocessing() in lzx-decompress.c.
 * See the comment above that function for more information.  */
static void
do_call_insn_preprocessing(u8 data[], int size)
{
        for (int i = 0; i < size - 10; i++) {
                if (data[i] == 0xe8) {
                        do_call_insn_translation((u32*)&data[i + 1], i,
                                                 LZX_WIM_MAGIC_FILESIZE);
                        i += 4;
                }
        }
}

static size_t
lzx_compress(const void *uncompressed_data, size_t uncompressed_size,
             void *compressed_data, size_t compressed_size_avail, void *_ctx)
{
        struct lzx_compressor *ctx = _ctx;
        struct output_bitstream ostream;
        size_t compressed_size;

        if (uncompressed_size < 100) {
                LZX_DEBUG("Too small to bother compressing.");
                return 0;
        }

        if (uncompressed_size > ctx->max_window_size) {
                LZX_DEBUG("Can't compress %zu bytes using window of %u bytes!",
                          uncompressed_size, ctx->max_window_size);
                return 0;
        }

        LZX_DEBUG("Attempting to compress %zu bytes...",
                  uncompressed_size);

        /* The input data must be preprocessed.  To avoid changing the original
         * input, copy it to a temporary buffer.  */
        memcpy(ctx->window, uncompressed_data, uncompressed_size);
        ctx->window_size = uncompressed_size;

        /* This line is unnecessary; it just avoids inconsequential accesses of
         * uninitialized memory that would show up in memory-checking tools such
         * as valgrind.  */
        memset(&ctx->window[ctx->window_size], 0, 12);

        LZX_DEBUG("Preprocessing data...");

        /* Before doing any actual compression, do the call instruction (0xe8
         * byte) translation on the uncompressed data.  */
        do_call_insn_preprocessing(ctx->window, ctx->window_size);

        LZX_DEBUG("Preparing blocks...");

        /* Prepare the compressed data.  */
        if (ctx->params.algorithm == WIMLIB_LZX_ALGORITHM_FAST)
                lzx_prepare_block_fast(ctx);
        else
                lzx_prepare_blocks(ctx);

        LZX_DEBUG("Writing compressed blocks...");

        /* Generate the compressed data.  */
        init_output_bitstream(&ostream, compressed_data, compressed_size_avail);
        lzx_write_all_blocks(ctx, &ostream);

        LZX_DEBUG("Flushing bitstream...");
        compressed_size = flush_output_bitstream(&ostream);
        if (compressed_size == ~(input_idx_t)0) {
                LZX_DEBUG("Data did not compress to %zu bytes or less!",
                          compressed_size_avail);
                return 0;
        }

        LZX_DEBUG("Done: compressed %zu => %zu bytes.",
                  uncompressed_size, compressed_size);

        /* Verify that we really get the same thing back when decompressing.
         * Although this could be disabled by default in all cases, it only
         * takes around 2-3% of the running time of the slow algorithm to do the
         * verification.  */
        if (ctx->params.algorithm == WIMLIB_LZX_ALGORITHM_SLOW
        #if defined(ENABLE_LZX_DEBUG) || defined(ENABLE_VERIFY_COMPRESSION)
            || 1
        #endif
            )
        {
                struct wimlib_decompressor *decompressor;

                if (0 == wimlib_create_decompressor(WIMLIB_COMPRESSION_TYPE_LZX,
                                                    ctx->max_window_size,
                                                    NULL,
                                                    &decompressor))
                {
                        int ret;
                        ret = wimlib_decompress(compressed_data,
                                                compressed_size,
                                                ctx->window,
                                                uncompressed_size,
                                                decompressor);
                        wimlib_free_decompressor(decompressor);

                        if (ret) {
                                ERROR("Failed to decompress data we "
                                      "compressed using LZX algorithm");
                                wimlib_assert(0);
                                return 0;
                        }
                        if (memcmp(uncompressed_data, ctx->window, uncompressed_size)) {
                                ERROR("Data we compressed using LZX algorithm "
                                      "didn't decompress to original");
                                wimlib_assert(0);
                                return 0;
                        }
                } else {
                        WARNING("Failed to create decompressor for "
                                "data verification!");
                }
        }
        return compressed_size;
}

static bool
lzx_params_valid(const struct wimlib_lzx_compressor_params *params)
{
        /* Validate parameters.  */
        if (params->hdr.size != sizeof(struct wimlib_lzx_compressor_params)) {
                LZX_DEBUG("Invalid parameter structure size!");
                return false;
        }

        if (params->algorithm != WIMLIB_LZX_ALGORITHM_SLOW &&
            params->algorithm != WIMLIB_LZX_ALGORITHM_FAST)
        {
                LZX_DEBUG("Invalid algorithm.");
                return false;
        }

        if (params->algorithm == WIMLIB_LZX_ALGORITHM_SLOW) {
                if (params->alg_params.slow.num_optim_passes < 1)
                {
                        LZX_DEBUG("Invalid number of optimization passes!");
                        return false;
                }

                if (params->alg_params.slow.main_nostat_cost < 1 ||
                    params->alg_params.slow.main_nostat_cost > 16)
                {
                        LZX_DEBUG("Invalid main_nostat_cost!");
                        return false;
                }

                if (params->alg_params.slow.len_nostat_cost < 1 ||
                    params->alg_params.slow.len_nostat_cost > 16)
                {
                        LZX_DEBUG("Invalid len_nostat_cost!");
                        return false;
                }

                if (params->alg_params.slow.aligned_nostat_cost < 1 ||
                    params->alg_params.slow.aligned_nostat_cost > 8)
                {
                        LZX_DEBUG("Invalid aligned_nostat_cost!");
                        return false;
                }
        }
        return true;
}

static void
lzx_free_compressor(void *_ctx)
{
        struct lzx_compressor *ctx = _ctx;

        if (ctx) {
                FREE(ctx->chosen_matches);
                FREE(ctx->cached_matches);
                lz_match_chooser_destroy(&ctx->mc);
                lz_sarray_destroy(&ctx->lz_sarray);
                FREE(ctx->block_specs);
                FREE(ctx->prev_tab);
                FREE(ctx->window);
                FREE(ctx);
        }
}

static int
lzx_create_compressor(size_t window_size,
                      const struct wimlib_compressor_params_header *_params,
                      void **ctx_ret)
{
        const struct wimlib_lzx_compressor_params *params =
                (const struct wimlib_lzx_compressor_params*)_params;
        struct lzx_compressor *ctx;

        LZX_DEBUG("Allocating LZX context...");

        if (!lzx_window_size_valid(window_size))
                return WIMLIB_ERR_INVALID_PARAM;

        static const struct wimlib_lzx_compressor_params fast_default = {
                .hdr = {
                        .size = sizeof(struct wimlib_lzx_compressor_params),
                },
                .algorithm = WIMLIB_LZX_ALGORITHM_FAST,
                .use_defaults = 0,
                .alg_params = {
                        .fast = {
                        },
                },
        };
        static const struct wimlib_lzx_compressor_params slow_default = {
                .hdr = {
                        .size = sizeof(struct wimlib_lzx_compressor_params),
                },
                .algorithm = WIMLIB_LZX_ALGORITHM_SLOW,
                .use_defaults = 0,
                .alg_params = {
                        .slow = {
                                .use_len2_matches = 1,
                                .num_fast_bytes = 32,
                                .num_optim_passes = 2,
                                .max_search_depth = 50,
                                .max_matches_per_pos = 3,
                                .main_nostat_cost = 15,
                                .len_nostat_cost = 15,
                                .aligned_nostat_cost = 7,
                        },
                },
        };

        if (params) {
                if (!lzx_params_valid(params))
                        return WIMLIB_ERR_INVALID_PARAM;
        } else {
                LZX_DEBUG("Using default algorithm and parameters.");
                params = &slow_default;
        }

        if (params->use_defaults) {
                if (params->algorithm == WIMLIB_LZX_ALGORITHM_SLOW)
                        params = &slow_default;
                else
                        params = &fast_default;
        }

        LZX_DEBUG("Allocating memory.");

        ctx = CALLOC(1, sizeof(struct lzx_compressor));
        if (ctx == NULL)
                goto oom;

        ctx->num_main_syms = lzx_get_num_main_syms(window_size);
        ctx->max_window_size = window_size;
        ctx->window = MALLOC(window_size + 12);
        if (ctx->window == NULL)
                goto oom;

        if (params->algorithm == WIMLIB_LZX_ALGORITHM_FAST) {
                ctx->prev_tab = MALLOC(window_size * sizeof(ctx->prev_tab[0]));
                if (ctx->prev_tab == NULL)
                        goto oom;
        }

        size_t block_specs_length = DIV_ROUND_UP(window_size, LZX_DIV_BLOCK_SIZE);
        ctx->block_specs = MALLOC(block_specs_length * sizeof(ctx->block_specs[0]));
        if (ctx->block_specs == NULL)
                goto oom;

        if (params->algorithm == WIMLIB_LZX_ALGORITHM_SLOW) {
                unsigned min_match_len = LZX_MIN_MATCH_LEN;
                if (!params->alg_params.slow.use_len2_matches)
                        min_match_len = max(min_match_len, 3);

                if (!lz_sarray_init(&ctx->lz_sarray,
                                    window_size,
                                    min_match_len,
                                    LZX_MAX_MATCH_LEN,
                                    params->alg_params.slow.max_search_depth,
                                    params->alg_params.slow.max_matches_per_pos))
                        goto oom;
        }

        if (params->algorithm == WIMLIB_LZX_ALGORITHM_SLOW) {
                if (!lz_match_chooser_init(&ctx->mc,
                                           LZX_OPTIM_ARRAY_SIZE,
                                           params->alg_params.slow.num_fast_bytes,
                                           LZX_MAX_MATCH_LEN))
                        goto oom;
        }

        if (params->algorithm == WIMLIB_LZX_ALGORITHM_SLOW) {
                u32 cache_per_pos;

                cache_per_pos = params->alg_params.slow.max_matches_per_pos;
                if (cache_per_pos > LZX_MAX_CACHE_PER_POS)
                        cache_per_pos = LZX_MAX_CACHE_PER_POS;

                ctx->cached_matches = MALLOC(window_size * (cache_per_pos + 1) *
                                             sizeof(ctx->cached_matches[0]));
                if (ctx->cached_matches == NULL)
                        goto oom;
        }

        ctx->chosen_matches = MALLOC(window_size * sizeof(ctx->chosen_matches[0]));
        if (ctx->chosen_matches == NULL)
                goto oom;

        memcpy(&ctx->params, params, sizeof(struct wimlib_lzx_compressor_params));
        memset(&ctx->zero_codes, 0, sizeof(ctx->zero_codes));

        LZX_DEBUG("Successfully allocated new LZX context.");

        *ctx_ret = ctx;
        return 0;

oom:
        lzx_free_compressor(ctx);
        return WIMLIB_ERR_NOMEM;
}

const struct compressor_ops lzx_compressor_ops = {
        .create_compressor  = lzx_create_compressor,
        .compress           = lzx_compress,
        .free_compressor    = lzx_free_compressor,
};